diff options
Diffstat (limited to 'src')
| -rw-r--r-- | src/AbstractInterpretation.v | 90 | ||||
| -rw-r--r-- | src/AbstractInterpretationProofs.v | 124 | ||||
| -rw-r--r-- | src/AbstractInterpretationWf.v | 90 | ||||
| -rw-r--r-- | src/BoundsPipeline.v | 1 | ||||
| -rw-r--r-- | src/Rewriter.v | 506 | ||||
| -rw-r--r-- | src/RewriterProofs.v | 20 | ||||
| -rw-r--r-- | src/RewriterRulesGood.v | 13 | ||||
| -rw-r--r-- | src/RewriterRulesInterpGood.v | 7 | ||||
| -rw-r--r-- | src/arith_with_casts_rewrite_head.out | 2280 | ||||
| -rw-r--r-- | src/fancy_with_casts_rewrite_head.out | 12579 | ||||
| -rw-r--r-- | src/strip_literal_casts_rewrite_head.out | 227 |
11 files changed, 6361 insertions, 9576 deletions
diff --git a/src/AbstractInterpretation.v b/src/AbstractInterpretation.v index 4d82b869a..75ce71eff 100644 --- a/src/AbstractInterpretation.v +++ b/src/AbstractInterpretation.v @@ -732,11 +732,15 @@ Module Compilers. end%under_lets. (** We drop the state of higher-order arrows *) - Fixpoint reify (is_let_bound : bool) {t} : value t -> type.for_each_lhs_of_arrow abstract_domain t -> UnderLets (@expr var t) + Fixpoint reify (annotate_with_state : bool) (is_let_bound : bool) {t} : value t -> type.for_each_lhs_of_arrow abstract_domain t -> UnderLets (@expr var t) := match t return value t -> type.for_each_lhs_of_arrow abstract_domain t -> UnderLets (@expr var t) with | type.base t => fun '(st, v) 'tt - => annotate is_let_bound t st v + => if annotate_with_state + then annotate is_let_bound t st v + else if is_let_bound + then UnderLets.UnderLet v (fun v' => UnderLets.Base ($v')) + else UnderLets.Base v | type.arrow s d => fun f_e '(sv, dv) => let sv := match s with @@ -745,10 +749,10 @@ Module Compilers. end in Base (λ x , (UnderLets.to_expr - (fx <-- f_e (@reflect _ (expr.Var x) sv); - @reify false _ fx dv))) + (fx <-- f_e (@reflect annotate_with_state _ (expr.Var x) sv); + @reify annotate_with_state false _ fx dv))) end%core%expr - with reflect {t} : @expr var t -> abstract_domain t -> value t + with reflect (annotate_with_state : bool) {t} : @expr var t -> abstract_domain t -> value t := match t return @expr var t -> abstract_domain t -> value t with | type.base t => fun e st => (st, e) @@ -756,45 +760,45 @@ Module Compilers. => fun e absf => (fun v => let stv := state_of_value v in - (rv <-- (@reify false s v bottom_for_each_lhs_of_arrow); - Base (@reflect d (e @ rv) (absf stv))%expr)) + (rv <-- (@reify annotate_with_state false s v bottom_for_each_lhs_of_arrow); + Base (@reflect annotate_with_state d (e @ rv) (absf stv))%expr)) end%under_lets. - Fixpoint interp {t} (e : @expr value_with_lets t) : value_with_lets t + Fixpoint interp (annotate_with_state : bool) {t} (e : @expr value_with_lets t) : value_with_lets t := match e in expr.expr t return value_with_lets t with | expr.Ident t idc => interp_ident _ idc (* Base (reflect (###idc) (abstract_interp_ident _ idc))*) | expr.Var t v => v - | expr.Abs s d f => Base (fun x => @interp d (f (Base x))) + | expr.Abs s d f => Base (fun x => @interp annotate_with_state d (f (Base x))) | expr.App (type.base s) d f x - => (x' <-- @interp _ x; - f' <-- @interp (_ -> d)%etype f; + => (x' <-- @interp annotate_with_state _ x; + f' <-- @interp annotate_with_state (_ -> d)%etype f; f' x') | expr.App (type.arrow s' d') d f x - => (x' <-- @interp (s' -> d')%etype x; + => (x' <-- @interp annotate_with_state (s' -> d')%etype x; x'' <-- bottomify x'; - f' <-- @interp (_ -> d)%etype f; + f' <-- @interp annotate_with_state (_ -> d)%etype f; f' x'') | expr.LetIn (type.arrow _ _) B x f - => (x' <-- @interp _ x; - @interp _ (f (Base x'))) + => (x' <-- @interp annotate_with_state _ x; + @interp annotate_with_state _ (f (Base x'))) | expr.LetIn (type.base A) B x f - => (x' <-- @interp _ x; - x'' <-- reify true (* this forces a let-binder here *) x' tt; - @interp _ (f (Base (reflect x'' (state_of_value x'))))) + => (x' <-- @interp annotate_with_state _ x; + x'' <-- reify annotate_with_state true (* this forces a let-binder here *) x' tt; + @interp annotate_with_state _ (f (Base (reflect annotate_with_state x'' (state_of_value x'))))) end%under_lets. - Definition eval_with_bound' {t} (e : @expr value_with_lets t) + Definition eval_with_bound' (annotate_with_state : bool) {t} (e : @expr value_with_lets t) (st : type.for_each_lhs_of_arrow abstract_domain t) : expr t - := UnderLets.to_expr (e' <-- interp e; reify false e' st). + := UnderLets.to_expr (e' <-- interp annotate_with_state e; reify annotate_with_state false e' st). Definition eval' {t} (e : @expr value_with_lets t) : expr t - := eval_with_bound' e bottom_for_each_lhs_of_arrow. + := eval_with_bound' false e bottom_for_each_lhs_of_arrow. Definition eta_expand_with_bound' {t} (e : @expr var t) (st : type.for_each_lhs_of_arrow abstract_domain t) : expr t - := UnderLets.to_expr (reify false (reflect e bottom) st). + := UnderLets.to_expr (reify true false (reflect true e bottom) st). Section extract. Context (ident_extract : forall t, ident t -> abstract_domain t). @@ -832,7 +836,6 @@ Module Compilers. Context (annotate_ident : forall t, abstract_domain' t -> option (ident (t -> t))) (bottom' : forall A, abstract_domain' A) (abstract_interp_ident : forall t, ident t -> type.interp abstract_domain' t) - (update_literal_with_state : forall A : base.type.base, abstract_domain' A -> base.interp A -> base.interp A) (extract_list_state : forall A, abstract_domain' (base.type.list A) -> option (list (abstract_domain' A))) (is_annotated_for : forall t t', ident t -> abstract_domain' t' -> bool). @@ -861,10 +864,7 @@ Module Compilers. Definition annotate_base (is_let_bound : bool) {t : base.type.base} (st : abstract_domain' t) (e : @expr var t) : UnderLets (@expr var t) - := match invert_Literal e with - | Some v => Base ##(update_literal_with_state _ st v) - | None => annotate_with_ident is_let_bound st e - end%expr. + := annotate_with_ident is_let_bound st e. Fixpoint annotate (is_let_bound : bool) {t : base.type} : abstract_domain' t -> @expr var t -> UnderLets (@expr var t) := match t return abstract_domain' t -> @expr var t -> UnderLets (@expr var t) with @@ -904,10 +904,10 @@ Module Compilers. Local Notation reflect := (@reflect base.type ident var abstract_domain' annotate bottom'). (** We manually rewrite with the rule for [nth_default], as the eliminator for eta-expanding lists in the input *) - Definition interp_ident {t} (idc : ident t) : value_with_lets t + Definition interp_ident (annotate_with_state : bool) {t} (idc : ident t) : value_with_lets t := match idc in ident t return value_with_lets t with | ident.List_nth_default T as idc - => let default := reflect (###idc) (abstract_interp_ident _ idc) in + => let default := reflect annotate_with_state (###idc) (abstract_interp_ident _ idc) in Base (fun default_arg => default <-- default default_arg; @@ -917,7 +917,7 @@ Module Compilers. Base (fun n_arg => default <-- default n_arg; - ls' <-- @reify false (base.type.list T) ls_arg tt; + ls' <-- @reify annotate_with_state false (base.type.list T) ls_arg tt; Base (fst default, match reflect_list ls', invert_Literal (snd n_arg) with @@ -925,16 +925,16 @@ Module Compilers. => nth_default (snd default_arg) ls n | _, _ => snd default end)))) - | idc => Base (reflect (###idc) (abstract_interp_ident _ idc)) + | idc => Base (reflect annotate_with_state (###idc) (abstract_interp_ident _ idc)) end%core%under_lets%expr. - Definition eval_with_bound {t} (e : @expr value_with_lets t) + Definition eval_with_bound (annotate_with_state : bool) {t} (e : @expr value_with_lets t) (st : type.for_each_lhs_of_arrow abstract_domain t) : @expr var t - := @eval_with_bound' base.type ident var abstract_domain' annotate bottom' (@interp_ident) t e st. + := @eval_with_bound' base.type ident var abstract_domain' annotate bottom' (@interp_ident annotate_with_state) annotate_with_state t e st. Definition eval {t} (e : @expr value_with_lets t) : @expr var t - := @eval' base.type ident var abstract_domain' annotate bottom' (@interp_ident) t e. + := @eval' base.type ident var abstract_domain' annotate bottom' (@interp_ident false) t e. Definition eta_expand_with_bound {t} (e : @expr var t) (st : type.for_each_lhs_of_arrow abstract_domain t) @@ -999,32 +999,16 @@ Module Compilers. := ZRange.type.base.option.None. Definition abstract_interp_ident t (idc : ident t) : type.interp abstract_domain' t := ZRange.ident.option.interp idc. - Definition update_Z_literal_with_state : abstract_domain' base.type.Z -> Z -> Z - := fun r n - => match r with - | Some r => if ZRange.type.base.is_bounded_by (t:=base.type.Z) r n - then n - else ident.cast_outside_of_range r n - | None => n - end. - Definition update_literal_with_state (t : base.type.base) : abstract_domain' t -> base.interp t -> base.interp t - := match t with - | base.type.Z => update_Z_literal_with_state - | base.type.unit - | base.type.bool - | base.type.nat - => fun _ => id - end. Definition extract_list_state A (st : abstract_domain' (base.type.list A)) : option (list (abstract_domain' A)) := st. Definition eval_with_bound {var} {t} (e : @expr _ t) (bound : type.for_each_lhs_of_arrow abstract_domain t) : expr t := (@partial.ident.eval_with_bound) - var abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for t e bound. + var abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for true t e bound. Definition eta_expand_with_bound {var} {t} (e : @expr _ t) (bound : type.for_each_lhs_of_arrow abstract_domain t) : expr t := (@partial.ident.eta_expand_with_bound) - var abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for t e bound. + var abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for t e bound. Definition EvalWithBound {t} (e : Expr t) (bound : type.for_each_lhs_of_arrow abstract_domain t) : Expr t := fun var => eval_with_bound (e _) bound. @@ -1034,7 +1018,7 @@ Module Compilers. Definition eval {var} {t} (e : @expr _ t) : expr t := (@partial.ident.eval) - var abstract_domain' (annotate_ident default_relax_zrange) bottom' abstract_interp_ident update_literal_with_state extract_list_state (is_annotated_for default_relax_zrange) t e. + var abstract_domain' (annotate_ident default_relax_zrange) bottom' abstract_interp_ident extract_list_state (is_annotated_for default_relax_zrange) t e. Definition Eval {t} (e : Expr t) : Expr t := fun var => eval (e _). Definition EtaExpandWithListInfoFromBound {t} (e : Expr t) (bound : type.for_each_lhs_of_arrow abstract_domain t) : Expr t diff --git a/src/AbstractInterpretationProofs.v b/src/AbstractInterpretationProofs.v index 6bf479dfe..c0f20474d 100644 --- a/src/AbstractInterpretationProofs.v +++ b/src/AbstractInterpretationProofs.v @@ -335,14 +335,29 @@ Module Compilers. { assumption. } Qed. + Lemma related_bounded_value_Proper_eq {t} + : Proper (eq ==> eq ==> eq ==> Basics.impl) (@related_bounded_value t). + Proof using Type. + repeat intro; subst; assumption. + Qed. + + Lemma related_bounded_value_Proper_interp_eq_base {t} + : Proper (eq ==> RelProd eq (fun x y => expr.interp ident_interp x = expr.interp ident_interp y) ==> eq ==> Basics.impl) (@related_bounded_value (type.base t)). + Proof using Type. + repeat intro; subst. + cbv [value RelProd relation_conjunction predicate_intersection pointwise_extension RelCompFun] in *. + destruct_head'_prod; destruct_head'_and; cbn [fst snd] in *; subst. + cbv [related_bounded_value] in *; destruct_head'_and; repeat apply conj; subst; (idtac + symmetry); assumption. + Qed. + Fixpoint interp_reify - is_let_bound {t} st e v b_in + annotate_with_state is_let_bound {t} st e v b_in (Hb : Proper (type.and_for_each_lhs_of_arrow (@abstract_domain_R)) b_in) (H : related_bounded_value st e v) {struct t} : (forall arg1 arg2 (Harg12 : type.and_for_each_lhs_of_arrow (@type.eqv) arg1 arg2) (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) b_in arg1), - type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify is_let_bound t e b_in))) arg1 + type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify annotate_with_state is_let_bound t e b_in))) arg1 = type.app_curried v arg2) /\ (forall arg1 (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) b_in arg1) @@ -350,30 +365,31 @@ Module Compilers. abstraction_relation' _ (type.app_curried (fill_in_bottom_for_arrows st) b_in) - (type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify is_let_bound t e b_in))) arg1)) + (type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify annotate_with_state is_let_bound t e b_in))) arg1)) with interp_reflect - {t} st e v + annotate_with_state {t} st e v (Hst_Proper : Proper abstract_domain_R st) (H_val : expr.interp ident_interp e == v) (Hst1 : abstraction_relation (fill_in_bottom_for_arrows st) (expr.interp ident_interp e)) {struct t} : related_bounded_value st - (@reflect t e st) + (@reflect annotate_with_state t e st) v. Proof using interp_annotate abstraction_relation'_Proper bottom'_related bottom'_Proper abstract_domain'_R_transitive abstract_domain'_R_symmetric. all: destruct t as [t|s d]; [ clear interp_reify interp_reflect - | pose proof (fun is_let_bound => interp_reify is_let_bound s) as interp_reify_s; - pose proof (fun is_let_bound => interp_reify is_let_bound d) as interp_reify_d; - pose proof (interp_reflect s) as interp_reflect_s; - pose proof (interp_reflect d) as interp_reflect_d; + | pose proof (fun is_let_bound => interp_reify annotate_with_state is_let_bound s) as interp_reify_s; + pose proof (fun is_let_bound => interp_reify annotate_with_state is_let_bound d) as interp_reify_d; + pose proof (interp_reflect annotate_with_state s) as interp_reflect_s; + pose proof (interp_reflect annotate_with_state d) as interp_reflect_d; clear interp_reify interp_reflect; pose proof (@abstract_domain_R_bottom_fill_arrows s); pose proof (@abstract_domain_R_bottom_fill_arrows d) ]. all: cbn [reify reflect] in *; fold (@reify) (@reflect) in *. all: cbn [related_bounded_value type.related type.app_curried] in *. all: cbn [UnderLets.interp expr.interp type.final_codomain type.andb_each_lhs_of_arrow type.is_base fst snd fill_in_bottom_for_arrows type.map_for_each_lhs_of_arrow type.for_each_lhs_of_arrow type.and_for_each_lhs_of_arrow partial.bottom_for_each_lhs_of_arrow partial.bottom] in *. + all: destruct annotate_with_state; try destruct is_let_bound. all: repeat first [ reflexivity | progress eta_expand | progress cbv [type.is_not_higher_order] in * @@ -408,7 +424,7 @@ Module Compilers. try assumption; auto; [] | match goal with | [ |- Proper ?R _ ] => (eapply PER_valid_l + eapply PER_valid_r); eassumption - | [ |- @related_bounded_value ?t ?st1 (reflect _ ?st2) _ ] + | [ |- @related_bounded_value ?t ?st1 (reflect _ _ ?st2) _ ] => (tryif first [ constr_eq st1 st2 | has_evar st1 | has_evar st2 ] then fail else (eapply (@related_bounded_value_Proper1 t st2 st1); @@ -427,7 +443,7 @@ Module Compilers. end | progress fold (@reify) (@reflect) (@type.interp) (@type.related) (@type.related_hetero) in * | match goal with - | [ |- type.related _ (expr.interp _ (UnderLets.interp _ (reify _ _ _))) _ ] + | [ |- type.related _ (expr.interp _ (UnderLets.interp _ (reify _ _ _ _))) _ ] => rewrite type.related_iff_app_curried | [ |- type.related_hetero _ (@state_of_value ?t _) _ ] => is_var t; destruct t; cbv [state_of_value]; [ cbn | apply bottom_related ] @@ -435,14 +451,14 @@ Module Compilers. Qed. Lemma interp_reify_first_order - is_let_bound {t} st e v b_in + annotate_with_state is_let_bound {t} st e v b_in (Ht : type.is_not_higher_order t = true) (Hb : Proper (type.and_for_each_lhs_of_arrow (@abstract_domain_R)) b_in) (H : related_bounded_value st e v) : (forall arg1 arg2 (Harg12 : type.and_for_each_lhs_of_arrow (@type.eqv) arg1 arg2) (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) b_in arg1), - type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify is_let_bound t e b_in))) arg1 + type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify annotate_with_state is_let_bound t e b_in))) arg1 = type.app_curried v arg2) /\ (forall arg1 (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) b_in arg1) @@ -450,21 +466,21 @@ Module Compilers. abstraction_relation' _ (type.app_curried st b_in) - (type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify is_let_bound t e b_in))) arg1)). + (type.app_curried (expr.interp ident_interp (UnderLets.interp ident_interp (@reify annotate_with_state is_let_bound t e b_in))) arg1)). Proof using interp_annotate abstraction_relation'_Proper bottom'_related bottom'_Proper abstract_domain'_R_transitive abstract_domain'_R_symmetric. rewrite first_order_app_curried_fill_in_bottom_for_arrows_eq by assumption. apply interp_reify; assumption. Qed. Lemma interp_reflect_first_order - {t} st e v + annotate_with_state {t} st e v (Ht : type.is_not_higher_order t = true) (Hst_Proper : Proper abstract_domain_R st) (H_val : expr.interp ident_interp e == v) (Hst : abstraction_relation st (expr.interp ident_interp e)) : related_bounded_value st - (@reflect t e st) + (@reflect annotate_with_state t e st) v. Proof using interp_annotate abstraction_relation'_Proper bottom'_related bottom'_Proper abstract_domain'_R_transitive abstract_domain'_R_symmetric. rewrite first_order_abstraction_relation_fill_in_bottom_for_arrows_iff in Hst by assumption. @@ -507,7 +523,7 @@ Module Compilers. related_bounded_value (ident_extract t idc) (UnderLets.interp ident_interp (interp_ident t idc)) (ident_interp t idc)). Lemma interp_interp - G G' {t} (e_st e1 e2 e3 : expr t) + annotate_with_state G G' {t} (e_st e1 e2 e3 : expr t) (HG : forall t v1 v2 v3, List.In (existT _ t (v1, v2, v3)) G -> related_bounded_value_with_lets v1 v2 v3) (HG' : forall t v1 v2, List.In (existT _ t (v1, v2)) G' -> v1 == v2) @@ -515,13 +531,14 @@ Module Compilers. (Hwf' : expr.wf G' e2 e3) : related_bounded_value_with_lets (extract' e_st) - (interp e1) + (interp annotate_with_state e1) (expr.interp (@ident_interp) e2). Proof using interp_ident_Proper interp_annotate abstraction_relation'_Proper ident_interp_Proper' abstract_domain'_R_transitive abstract_domain'_R_symmetric bottom'_Proper bottom'_related. clear -ident_interp_Proper' interp_ident_Proper interp_annotate abstraction_relation'_Proper abstract_domain'_R_transitive abstract_domain'_R_symmetric bottom'_Proper bottom'_related HG HG' Hwf Hwf'. cbv [related_bounded_value_with_lets] in *; revert dependent G'; induction Hwf; intros; - cbn [extract' interp expr.interp UnderLets.interp List.In related_bounded_value reify reflect] in *. + cbn [extract' interp expr.interp UnderLets.interp List.In related_bounded_value reify reflect] in *; cbv [Let_In] in *. + all: destruct annotate_with_state eqn:?. all: repeat first [ progress intros | progress subst | progress inversion_sigma @@ -538,8 +555,8 @@ Module Compilers. | rewrite interp_annotate | solve [ cbv [Proper respectful Basics.impl] in *; eauto using related_of_related_bounded_value, related_bounded_value_bottomify ] | progress specialize_by_assumption - | progress cbv [Let_In extract'] in * - | progress cbn [state_of_value] in * + | progress cbv [Let_In] in * + | progress cbn [state_of_value extract'] in * | progress expr.invert_subst | match goal with | [ |- abstract_domain ?t ] => exact (@bottom t) @@ -553,6 +570,11 @@ Module Compilers. | [ |- related_bounded_value _ (fst _, UnderLets.interp _ (annotate _ _ _ _)) _ ] => apply related_bounded_value_annotate_base | [ H : context[match ?v with None => _ | _ => _ end] |- _ ] => destruct v eqn:? + | [ H : context[@related_bounded_value (type.base ?t) ?x _ ?y] + |- @related_bounded_value (type.base ?t) ?x _ ?y ] + => eapply related_bounded_value_Proper_interp_eq_base; [ reflexivity | split; hnf | reflexivity | eapply H ]; + cbn [fst snd expr.interp]; + [ reflexivity | reflexivity | .. ] end | apply conj | match goal with @@ -578,7 +600,7 @@ Module Compilers. Qed. Lemma interp_eval_with_bound' - {t} (e_st e1 e2 : expr t) + annotate_with_state {t} (e_st e1 e2 : expr t) (Hwf : expr.wf3 nil e_st e1 e2) (Hwf' : expr.wf nil e2 e2) (Ht : type.is_not_higher_order t = true) @@ -587,7 +609,7 @@ Module Compilers. : (forall arg1 arg2 (Harg12 : type.and_for_each_lhs_of_arrow (@type.eqv) arg1 arg2) (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) st arg1), - type.app_curried (expr.interp ident_interp (eval_with_bound' e1 st)) arg1 + type.app_curried (expr.interp ident_interp (eval_with_bound' annotate_with_state e1 st)) arg1 = type.app_curried (expr.interp ident_interp e2) arg2) /\ (forall arg1 (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) st arg1) @@ -595,7 +617,7 @@ Module Compilers. abstraction_relation' _ (extract_gen e_st st) - (type.app_curried (expr.interp ident_interp (eval_with_bound' e1 st)) arg1)). + (type.app_curried (expr.interp ident_interp (eval_with_bound' annotate_with_state e1 st)) arg1)). Proof using interp_annotate abstraction_relation'_Proper abstract_domain'_R_transitive abstract_domain'_R_symmetric bottom'_related interp_ident_Proper bottom'_Proper ident_interp_Proper'. cbv [extract_gen extract' eval_with_bound']. split; intros; rewrite UnderLets.interp_to_expr, UnderLets.interp_splice. @@ -678,9 +700,6 @@ Module Compilers. annotate_ident t st = Some idc -> forall v, abstraction_relation' _ st v -> ident_interp idc v = v) - (interp_update_literal_with_state - : forall (t : base.type.base) (st : abstract_domain' t) (v : base.interp t), - abstraction_relation' t st v -> update_literal_with_state t st v = v) (abstract_interp_ident_Proper' : forall t idc, type.related_hetero (@abstraction_relation') (abstract_interp_ident t idc) (ident_interp idc)) (extract_list_state_related @@ -697,9 +716,9 @@ Module Compilers. Local Notation update_annotation := (@ident.update_annotation _ abstract_domain' annotate_ident is_annotated_for). Local Notation annotate_with_ident := (@ident.annotate_with_ident _ abstract_domain' annotate_ident is_annotated_for). - Local Notation annotate_base := (@ident.annotate_base _ abstract_domain' annotate_ident update_literal_with_state is_annotated_for). - Local Notation annotate := (@ident.annotate _ abstract_domain' annotate_ident abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation interp_ident := (@ident.interp_ident _ abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). + Local Notation annotate_base := (@ident.annotate_base _ abstract_domain' annotate_ident is_annotated_for). + Local Notation annotate := (@ident.annotate _ abstract_domain' annotate_ident abstract_interp_ident extract_list_state is_annotated_for). + Local Notation interp_ident := (@ident.interp_ident _ abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). Local Notation related_bounded_value := (@related_bounded_value base.type ident abstract_domain' base.interp (@ident_interp) abstraction_relation' bottom' abstract_domain'_R). Local Notation reify := (@reify base.type ident _ abstract_domain' annotate bottom'). Local Notation reflect := (@reflect base.type ident _ abstract_domain' annotate bottom'). @@ -746,9 +765,8 @@ Module Compilers. (He : abstraction_relation' t st (expr.interp (t:=type.base (base.type.type_base t)) (@ident_interp) e)) : expr.interp (@ident_interp) (UnderLets.interp (@ident_interp) (@annotate_base is_let_bound t st e)) = expr.interp (@ident_interp) e. - Proof using interp_annotate_ident interp_update_literal_with_state. + Proof using interp_annotate_ident. cbv [annotate_base]; break_innermost_match; expr.invert_subst; cbv beta iota in *; subst. - { cbn [expr.interp UnderLets.interp ident.smart_Literal ident_interp] in *; eauto. } { apply interp_annotate_with_ident; assumption. } Qed. @@ -756,7 +774,7 @@ Module Compilers. (He : abstraction_relation' t st (expr.interp (t:=type.base t) (@ident_interp) e)) : expr.interp (@ident_interp) (UnderLets.interp (@ident_interp) (@annotate is_let_bound t st e)) = expr.interp (@ident_interp) e. - Proof using interp_update_literal_with_state interp_annotate_ident abstract_interp_ident_Proper' extract_list_state_related extract_list_state_length_good bottom'_related. + Proof using interp_annotate_ident abstract_interp_ident_Proper' extract_list_state_related extract_list_state_length_good bottom'_related. induction t; cbn [annotate]; auto using interp_annotate_base. all: repeat first [ reflexivity | progress subst @@ -824,9 +842,9 @@ Module Compilers. end ]. Qed. - Lemma interp_ident_Proper_not_nth_default t idc - : related_bounded_value (abstract_interp_ident t idc) (UnderLets.interp (@ident_interp) (Base (reflect (expr.Ident idc) (abstract_interp_ident _ idc)))) (ident_interp idc). - Proof using abstract_interp_ident_Proper' abstraction_relation'_Proper bottom'_related extract_list_state_length_good extract_list_state_related interp_annotate_ident interp_update_literal_with_state abstract_interp_ident_Proper bottom'_Proper abstract_domain'_R_transitive abstract_domain'_R_symmetric. + Lemma interp_ident_Proper_not_nth_default annotate_with_state t idc + : related_bounded_value (abstract_interp_ident t idc) (UnderLets.interp (@ident_interp) (Base (reflect annotate_with_state (expr.Ident idc) (abstract_interp_ident _ idc)))) (ident_interp idc). + Proof using abstract_interp_ident_Proper' abstraction_relation'_Proper bottom'_related extract_list_state_length_good extract_list_state_related interp_annotate_ident abstract_interp_ident_Proper bottom'_Proper abstract_domain'_R_transitive abstract_domain'_R_symmetric. cbn [UnderLets.interp]. eapply interp_reflect; try first [ apply ident.gen_interp_Proper @@ -836,9 +854,9 @@ Module Compilers. eauto. Qed. - Lemma interp_ident_Proper_nth_default T (idc:=@ident.List_nth_default T) - : related_bounded_value (abstract_interp_ident _ idc) (UnderLets.interp (@ident_interp) (interp_ident idc)) (ident_interp idc). - Proof using abstract_interp_ident_Proper abstract_interp_ident_Proper' abstraction_relation'_Proper extract_list_state_length_good extract_list_state_related interp_annotate_ident interp_update_literal_with_state bottom'_related. + Lemma interp_ident_Proper_nth_default annotate_with_state T (idc:=@ident.List_nth_default T) + : related_bounded_value (abstract_interp_ident _ idc) (UnderLets.interp (@ident_interp) (interp_ident annotate_with_state idc)) (ident_interp idc). + Proof using abstract_interp_ident_Proper abstract_interp_ident_Proper' abstraction_relation'_Proper extract_list_state_length_good extract_list_state_related interp_annotate_ident bottom'_related. subst idc; cbn [interp_ident reify reflect fst snd UnderLets.interp ident_interp related_bounded_value abstract_domain value]. cbv [abstract_domain]; cbn [type.interp bottom_for_each_lhs_of_arrow state_of_value fst snd]. repeat first [ progress intros @@ -858,6 +876,7 @@ Module Compilers. | apply (@abstract_interp_ident_Proper'' _ (@ident.List_nth_default T)) | apply conj | rewrite map_nth_default_always + | rewrite expr.interp_reify_list | match goal with | [ H : context[expr.interp _ (UnderLets.interp _ (annotate _ _ _))] |- _ ] => rewrite interp_annotate in H @@ -869,20 +888,20 @@ Module Compilers. end ]. Qed. - Lemma interp_ident_Proper t idc - : related_bounded_value (abstract_interp_ident t idc) (UnderLets.interp (@ident_interp) (interp_ident idc)) (ident_interp idc). + Lemma interp_ident_Proper annotate_with_state t idc + : related_bounded_value (abstract_interp_ident t idc) (UnderLets.interp (@ident_interp) (interp_ident annotate_with_state idc)) (ident_interp idc). Proof. pose idc as idc'. - destruct idc; first [ refine (@interp_ident_Proper_not_nth_default _ idc') - | refine (@interp_ident_Proper_nth_default _) ]. + destruct idc; first [ refine (@interp_ident_Proper_not_nth_default _ _ idc') + | refine (@interp_ident_Proper_nth_default _ _) ]. Qed. - Local Notation eval_with_bound := (@partial.ident.eval_with_bound _ abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation eta_expand_with_bound := (@partial.ident.eta_expand_with_bound _ abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). + Local Notation eval_with_bound := (@partial.ident.eval_with_bound _ abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). + Local Notation eta_expand_with_bound := (@partial.ident.eta_expand_with_bound _ abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). Local Notation extract := (@ident.extract abstract_domain' bottom' abstract_interp_ident). Lemma interp_eval_with_bound - {t} (e_st e1 e2 : expr t) + annotate_with_state {t} (e_st e1 e2 : expr t) (Hwf : expr.wf3 nil e_st e1 e2) (Hwf' : expr.wf nil e2 e2) (Ht : type.is_not_higher_order t = true) @@ -891,7 +910,7 @@ Module Compilers. : (forall arg1 arg2 (Harg12 : type.and_for_each_lhs_of_arrow (@type.eqv) arg1 arg2) (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) st arg1), - type.app_curried (expr.interp (@ident_interp) (eval_with_bound e1 st)) arg1 + type.app_curried (expr.interp (@ident_interp) (eval_with_bound annotate_with_state e1 st)) arg1 = type.app_curried (expr.interp (@ident_interp) e2) arg2) /\ (forall arg1 (Harg1 : type.and_for_each_lhs_of_arrow (@abstraction_relation) st arg1) @@ -899,7 +918,7 @@ Module Compilers. abstraction_relation' _ (extract e_st st) - (type.app_curried (expr.interp (@ident_interp) (eval_with_bound e1 st)) arg1)). + (type.app_curried (expr.interp (@ident_interp) (eval_with_bound annotate_with_state e1 st)) arg1)). Proof. cbv [extract eval_with_bound]; apply @interp_eval_with_bound' with (abstract_domain'_R:=abstract_domain'_R); auto using interp_annotate, interp_ident_Proper, ident.gen_interp_Proper. Qed. Lemma interp_eta_expand_with_bound @@ -951,13 +970,6 @@ Module Compilers. : type.related_hetero (@abstraction_relation') (@abstract_interp_ident t idc) (@ident.gen_interp cast_outside_of_range _ idc). Proof using Type. apply ZRange.ident.option.interp_related. Qed. - Lemma interp_update_literal_with_state {t : base.type.base} st v - : @abstraction_relation' t st v -> @update_literal_with_state t st v = v. - Proof using Type. - cbv [abstraction_relation' update_literal_with_state update_Z_literal_with_state ZRange.type.base.option.is_bounded_by]; - break_innermost_match; try congruence; reflexivity. - Qed. - Lemma extract_list_state_related {t} st v ls : @abstraction_relation' _ st v -> @extract_list_state t st = Some ls @@ -1034,7 +1046,7 @@ Module Compilers. : @annotate_ident relax_zrange t st1 = @annotate_ident relax_zrange t st2. Proof using Type. congruence. Qed. - Local Hint Resolve interp_annotate_ident interp_update_literal_with_state abstract_interp_ident_related. + Local Hint Resolve interp_annotate_ident abstract_interp_ident_related. Lemma interp_eval_with_bound cast_outside_of_range diff --git a/src/AbstractInterpretationWf.v b/src/AbstractInterpretationWf.v index a2ba63c01..a6a2d8d6b 100644 --- a/src/AbstractInterpretationWf.v +++ b/src/AbstractInterpretationWf.v @@ -171,23 +171,23 @@ Module Compilers. | eapply UnderLets.wf_Proper_list; [ | | solve [ eauto ] ] ]. Qed. - Fixpoint wf_reify (is_let_bound : bool) G {t} + Fixpoint wf_reify (annotate_with_state : bool) (is_let_bound : bool) G {t} : forall v1 v2 (Hv : @wf_value G t v1 v2) s1 s2 (Hs : type.and_for_each_lhs_of_arrow (@abstract_domain_R) s1 s2), - UnderLets.wf (fun G' => expr.wf G') G (@reify1 is_let_bound t v1 s1) (@reify2 is_let_bound t v2 s2) - with wf_reflect G {t} + UnderLets.wf (fun G' => expr.wf G') G (@reify1 annotate_with_state is_let_bound t v1 s1) (@reify2 annotate_with_state is_let_bound t v2 s2) + with wf_reflect (annotate_with_state : bool) G {t} : forall e1 e2 (He : expr.wf G e1 e2) s1 s2 (Hs : abstract_domain_R s1 s2), - @wf_value G t (@reflect1 t e1 s1) (@reflect2 t e2 s2). + @wf_value G t (@reflect1 annotate_with_state t e1 s1) (@reflect2 annotate_with_state t e2 s2). Proof using annotate_Proper bottom'_Proper. all: clear -wf_reflect wf_reify annotate_Proper type_base bottom'_Proper. all: pose proof (@bottom_for_each_lhs_of_arrow_Proper); cbv [Proper abstract_domain_R] in *. all: destruct t as [t|s d]; [ clear wf_reify wf_reflect - | pose proof (fun G => wf_reflect G s) as wf_reflect_s; - pose proof (fun G => wf_reflect G d) as wf_reflect_d; - pose proof (fun G => wf_reify false G s) as wf_reify_s; - pose proof (fun G => wf_reify false G d) as wf_reify_d; + | pose proof (fun G => wf_reflect annotate_with_state G s) as wf_reflect_s; + pose proof (fun G => wf_reflect annotate_with_state G d) as wf_reflect_d; + pose proof (fun G => wf_reify annotate_with_state false G s) as wf_reify_s; + pose proof (fun G => wf_reify annotate_with_state false G d) as wf_reify_d; pose proof (@bottom_Proper s); clear wf_reify wf_reflect ]. all: cbn [reify reflect] in *. @@ -208,9 +208,9 @@ Module Compilers. | [ |- expr.wf _ _ _ ] => constructor | [ He : forall seg G' sv1 sv2, G' = (seg ++ ?G)%list -> _ |- UnderLets.wf _ (?v :: ?G) (UnderLets.splice _ _) (UnderLets.splice _ _) ] => eapply UnderLets.wf_splice; [ apply (He (cons v nil)) | ] - | [ |- UnderLets.wf _ _ (UnderLets.splice (reify1 _ _ _) _) (UnderLets.splice (reify2 _ _ _) _) ] + | [ |- UnderLets.wf _ _ (UnderLets.splice (reify1 _ _ _ _) _) (UnderLets.splice (reify2 _ _ _ _) _) ] => eapply UnderLets.wf_splice; [ apply wf_reify_s || apply wf_reify_d | ] - | [ |- wf_value _ (reflect1 _ _) (reflect2 _ _) ] => apply wf_reflect_s || apply wf_reflect_d + | [ |- wf_value _ (reflect1 _ _ _) (reflect2 _ _ _) ] => apply wf_reflect_s || apply wf_reflect_d | [ H : wf_value _ ?x ?y |- wf_value _ ?x ?y ] => eapply wf_value_Proper_list; [ | eassumption ] | [ H : forall x y, ?R x y -> ?R' (?f x) (?g y) |- ?R' (?f _) (?g _) ] @@ -259,10 +259,10 @@ Module Compilers. end | break_innermost_match_step ]. - Lemma wf_interp G G' {t} (e1 : @expr (@value_with_lets1) t) (e2 : @expr (@value_with_lets2) t) + Lemma wf_interp (annotate_with_state : bool) G G' {t} (e1 : @expr (@value_with_lets1) t) (e2 : @expr (@value_with_lets2) t) (Hwf : expr.wf G e1 e2) (HGG' : forall t v1 v2, List.In (existT _ t (v1, v2)) G -> wf_value_with_lets G' v1 v2) - : wf_value_with_lets G' (interp1 e1) (interp2 e2). + : wf_value_with_lets G' (interp1 annotate_with_state e1) (interp2 annotate_with_state e2). Proof using annotate_Proper bottom'_Proper interp_ident_Proper. revert dependent G'; induction Hwf; intros; cbn [interp]; try solve [ apply interp_ident_Proper; auto @@ -270,9 +270,9 @@ Module Compilers. wf_interp_t. Qed. - Lemma wf_eval_with_bound' G G' {t} e1 e2 (He : expr.wf G e1 e2) st1 st2 (Hst : type.and_for_each_lhs_of_arrow (@abstract_domain_R) st1 st2) + Lemma wf_eval_with_bound' (annotate_with_state : bool) G G' {t} e1 e2 (He : expr.wf G e1 e2) st1 st2 (Hst : type.and_for_each_lhs_of_arrow (@abstract_domain_R) st1 st2) (HGG' : forall t v1 v2, List.In (existT _ t (v1, v2)) G -> wf_value_with_lets G' v1 v2) - : expr.wf G' (@eval_with_bound'1 t e1 st1) (@eval_with_bound'2 t e2 st2). + : expr.wf G' (@eval_with_bound'1 annotate_with_state t e1 st1) (@eval_with_bound'2 annotate_with_state t e2 st2). Proof using annotate_Proper bottom'_Proper interp_ident_Proper. eapply UnderLets.wf_to_expr, UnderLets.wf_splice. { eapply wf_interp; solve [ eauto ]. } @@ -303,7 +303,6 @@ Module Compilers. Context (annotate_ident : forall t, abstract_domain' t -> option (ident (t -> t))) (bottom' : forall A, abstract_domain' A) (abstract_interp_ident : forall t, ident t -> type.interp abstract_domain' t) - (update_literal_with_state : forall A : base.type.base, abstract_domain' A -> base.interp A -> base.interp A) (extract_list_state : forall A, abstract_domain' (base.type.list A) -> option (list (abstract_domain' A))) (is_annotated_for : forall t t', ident t -> abstract_domain' t' -> bool). Context (abstract_domain'_R : forall t, abstract_domain' t -> abstract_domain' t -> Prop). @@ -311,7 +310,6 @@ Module Compilers. Context {annotate_ident_Proper : forall t, Proper (abstract_domain'_R t ==> eq) (annotate_ident t)} {abstract_interp_ident_Proper : forall t, Proper (eq ==> @abstract_domain_R t) (abstract_interp_ident t)} {bottom'_Proper : forall t, Proper (abstract_domain'_R t) (bottom' t)} - {update_literal_with_state_Proper : forall t, Proper (abstract_domain'_R (base.type.type_base t) ==> eq ==> eq) (update_literal_with_state t)} {is_annotated_for_Proper : forall t t', Proper (eq ==> abstract_domain'_R _ ==> eq) (@is_annotated_for t t')} (extract_list_state_length : forall t v1 v2, abstract_domain'_R _ v1 v2 -> option_map (@length _) (extract_list_state t v1) = option_map (@length _) (extract_list_state t v2)) (extract_list_state_rel : forall t v1 v2, abstract_domain'_R _ v1 v2 -> forall l1 l2, extract_list_state t v1 = Some l1 -> extract_list_state t v2 = Some l2 -> forall vv1 vv2, List.In (vv1, vv2) (List.combine l1 l2) -> @abstract_domain'_R t vv1 vv2). @@ -325,14 +323,14 @@ Module Compilers. Local Notation update_annotation1 := (@ident.update_annotation var1 abstract_domain' annotate_ident is_annotated_for). Local Notation update_annotation2 := (@ident.update_annotation var2 abstract_domain' annotate_ident is_annotated_for). - Local Notation annotate1 := (@ident.annotate var1 abstract_domain' annotate_ident abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation annotate2 := (@ident.annotate var2 abstract_domain' annotate_ident abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation annotate_base1 := (@ident.annotate_base var1 abstract_domain' annotate_ident update_literal_with_state is_annotated_for). - Local Notation annotate_base2 := (@ident.annotate_base var2 abstract_domain' annotate_ident update_literal_with_state is_annotated_for). + Local Notation annotate1 := (@ident.annotate var1 abstract_domain' annotate_ident abstract_interp_ident extract_list_state is_annotated_for). + Local Notation annotate2 := (@ident.annotate var2 abstract_domain' annotate_ident abstract_interp_ident extract_list_state is_annotated_for). + Local Notation annotate_base1 := (@ident.annotate_base var1 abstract_domain' annotate_ident is_annotated_for). + Local Notation annotate_base2 := (@ident.annotate_base var2 abstract_domain' annotate_ident is_annotated_for). Local Notation annotate_with_ident1 := (@ident.annotate_with_ident var1 abstract_domain' annotate_ident is_annotated_for). Local Notation annotate_with_ident2 := (@ident.annotate_with_ident var2 abstract_domain' annotate_ident is_annotated_for). - Local Notation interp_ident1 := (@ident.interp_ident var1 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation interp_ident2 := (@ident.interp_ident var2 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). + Local Notation interp_ident1 := (@ident.interp_ident var1 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). + Local Notation interp_ident2 := (@ident.interp_ident var2 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). Local Notation reflect1 := (@reflect base.type ident var1 abstract_domain' annotate1 bottom'). Local Notation reflect2 := (@reflect base.type ident var2 abstract_domain' annotate2 bottom'). @@ -382,7 +380,7 @@ Module Compilers. v1 v2 (Hv : abstract_domain'_R t v1 v2) e1 e2 (He : expr.wf G e1 e2) : UnderLets.wf (fun G' => expr.wf G') G (@annotate_base1 is_let_bound t v1 e1) (@annotate_base2 is_let_bound t v2 e2). - Proof using abstract_interp_ident_Proper annotate_ident_Proper update_literal_with_state_Proper is_annotated_for_Proper. + Proof using abstract_interp_ident_Proper annotate_ident_Proper is_annotated_for_Proper. cbv [ident.annotate_base]; repeat first [ apply wf_annotate_with_ident | break_innermost_match_step @@ -409,7 +407,7 @@ Module Compilers. v1 v2 (Hv : abstract_domain'_R t v1 v2) e1 e2 (He : expr.wf G e1 e2) : UnderLets.wf (fun G' => expr.wf G') G (@annotate1 is_let_bound t v1 e1) (@annotate2 is_let_bound t v2 e2). - Proof using abstract_interp_ident_Proper annotate_ident_Proper extract_list_state_length extract_list_state_rel update_literal_with_state_Proper is_annotated_for_Proper. + Proof using abstract_interp_ident_Proper annotate_ident_Proper extract_list_state_length extract_list_state_rel is_annotated_for_Proper. revert dependent G; induction t; intros; cbn [ident.annotate]; try apply wf_annotate_base; trivial. all: repeat first [ lazymatch goal with @@ -491,9 +489,9 @@ Module Compilers. let b' := type_of_value b in constr:(type.arrow a' b') end. - Lemma wf_interp_ident_nth_default G T - : wf_value_with_lets G (@interp_ident1 _ (@ident.List_nth_default T)) (@interp_ident2 _ (@ident.List_nth_default T)). - Proof using abstract_interp_ident_Proper annotate_ident_Proper extract_list_state_length extract_list_state_rel update_literal_with_state_Proper is_annotated_for_Proper. + Lemma wf_interp_ident_nth_default (annotate_with_state : bool) G T + : wf_value_with_lets G (@interp_ident1 annotate_with_state _ (@ident.List_nth_default T)) (@interp_ident2 annotate_with_state _ (@ident.List_nth_default T)). + Proof using abstract_interp_ident_Proper annotate_ident_Proper extract_list_state_length extract_list_state_rel is_annotated_for_Proper. cbv [wf_value_with_lets wf_value ident.interp_ident]; constructor; cbn -[abstract_domain_R abstract_domain]. { intros; subst. destruct_head'_prod; destruct_head'_and; cbn [fst snd] in *. @@ -599,9 +597,9 @@ Module Compilers. end ]. } Qed. - Lemma wf_interp_ident_not_nth_default G {t} (idc : ident t) - : wf_value_with_lets G (Base (reflect1 (###idc)%expr (abstract_interp_ident _ idc))) (Base (reflect2 (###idc)%expr (abstract_interp_ident _ idc))). - Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel update_literal_with_state_Proper is_annotated_for_Proper. + Lemma wf_interp_ident_not_nth_default (annotate_with_state : bool) G {t} (idc : ident t) + : wf_value_with_lets G (Base (reflect1 annotate_with_state (###idc)%expr (abstract_interp_ident _ idc))) (Base (reflect2 annotate_with_state (###idc)%expr (abstract_interp_ident _ idc))). + Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel is_annotated_for_Proper. constructor; eapply wf_reflect; solve [ apply bottom'_Proper | apply wf_annotate @@ -609,43 +607,43 @@ Module Compilers. | apply abstract_interp_ident_Proper; reflexivity ]. Qed. - Lemma wf_interp_ident G {t} idc1 idc2 (Hidc : idc1 = idc2) - : wf_value_with_lets G (@interp_ident1 t idc1) (@interp_ident2 t idc2). - Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel update_literal_with_state_Proper is_annotated_for_Proper. + Lemma wf_interp_ident (annotate_with_state : bool) G {t} idc1 idc2 (Hidc : idc1 = idc2) + : wf_value_with_lets G (@interp_ident1 annotate_with_state t idc1) (@interp_ident2 annotate_with_state t idc2). + Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel is_annotated_for_Proper. cbv [wf_value_with_lets ident.interp_ident]; subst idc2; destruct idc1; first [ apply wf_interp_ident_nth_default | apply wf_interp_ident_not_nth_default ]. Qed. - Local Notation eval_with_bound1 := (@partial.ident.eval_with_bound var1 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation eval_with_bound2 := (@partial.ident.eval_with_bound var2 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Lemma wf_eval_with_bound {t} G G' e1 e2 (Hwf : expr.wf G e1 e2) st1 st2 (Hst : type.and_for_each_lhs_of_arrow (@abstract_domain_R) st1 st2) + Local Notation eval_with_bound1 := (@partial.ident.eval_with_bound var1 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). + Local Notation eval_with_bound2 := (@partial.ident.eval_with_bound var2 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). + Lemma wf_eval_with_bound (annotate_with_state : bool) {t} G G' e1 e2 (Hwf : expr.wf G e1 e2) st1 st2 (Hst : type.and_for_each_lhs_of_arrow (@abstract_domain_R) st1 st2) (HGG' : forall t v1 v2, List.In (existT _ t (v1, v2)) G -> wf_value_with_lets G' v1 v2) - : expr.wf G' (@eval_with_bound1 t e1 st1) (@eval_with_bound2 t e2 st2). - Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel update_literal_with_state_Proper is_annotated_for_Proper. + : expr.wf G' (@eval_with_bound1 annotate_with_state t e1 st1) (@eval_with_bound2 annotate_with_state t e2 st2). + Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel is_annotated_for_Proper. eapply wf_eval_with_bound'; solve [ eassumption | eapply wf_annotate | eapply wf_interp_ident ]. Qed. - Local Notation eval1 := (@partial.ident.eval var1 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation eval2 := (@partial.ident.eval var2 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). + Local Notation eval1 := (@partial.ident.eval var1 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). + Local Notation eval2 := (@partial.ident.eval var2 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). Lemma wf_eval {t} G G' e1 e2 (Hwf : expr.wf G e1 e2) (HGG' : forall t v1 v2, List.In (existT _ t (v1, v2)) G -> wf_value_with_lets G' v1 v2) : expr.wf G' (@eval1 t e1) (@eval2 t e2). - Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel update_literal_with_state_Proper is_annotated_for_Proper. + Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel is_annotated_for_Proper. eapply wf_eval'; solve [ eassumption | eapply wf_annotate | eapply wf_interp_ident ]. Qed. - Local Notation eta_expand_with_bound1 := (@partial.ident.eta_expand_with_bound var1 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). - Local Notation eta_expand_with_bound2 := (@partial.ident.eta_expand_with_bound var2 abstract_domain' annotate_ident bottom' abstract_interp_ident update_literal_with_state extract_list_state is_annotated_for). + Local Notation eta_expand_with_bound1 := (@partial.ident.eta_expand_with_bound var1 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). + Local Notation eta_expand_with_bound2 := (@partial.ident.eta_expand_with_bound var2 abstract_domain' annotate_ident bottom' abstract_interp_ident extract_list_state is_annotated_for). Lemma wf_eta_expand_with_bound {t} G e1 e2 (Hwf : expr.wf G e1 e2) st1 st2 (Hst : type.and_for_each_lhs_of_arrow (@abstract_domain_R) st1 st2) : expr.wf G (@eta_expand_with_bound1 t e1 st1) (@eta_expand_with_bound2 t e2 st2). - Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel update_literal_with_state_Proper is_annotated_for_Proper. + Proof using abstract_interp_ident_Proper annotate_ident_Proper bottom'_Proper extract_list_state_length extract_list_state_rel is_annotated_for_Proper. eapply wf_eta_expand_with_bound'; solve [ eassumption | eapply wf_annotate @@ -697,10 +695,6 @@ Module Compilers. end ]. Qed. - Global Instance update_literal_with_state_Proper {t} - : Proper (abstract_domain'_R (base.type.type_base t) ==> eq ==> eq) (update_literal_with_state t). - Proof. repeat intro; congruence. Qed. - Global Instance extract_list_state_Proper {t} : Proper (abstract_domain'_R _ ==> option_eq (SetoidList.eqlistA (@abstract_domain'_R t))) (extract_list_state t). diff --git a/src/BoundsPipeline.v b/src/BoundsPipeline.v index 0299f2e9e..1c6cec4c7 100644 --- a/src/BoundsPipeline.v +++ b/src/BoundsPipeline.v @@ -311,6 +311,7 @@ Module Pipeline. => RewriteRules.RewriteToFancyWithCasts invert_low invert_high value_range flag_range E | None => E end in + let E := RewriteRules.RewriteStripLiteralCasts E in Success E | inr (inl (b, E)) => Error (Computed_bounds_are_not_tight_enough b out_bounds E arg_bounds) diff --git a/src/Rewriter.v b/src/Rewriter.v index 5f10869b2..a79bcb18f 100644 --- a/src/Rewriter.v +++ b/src/Rewriter.v @@ -359,6 +359,7 @@ Module Compilers. Notation "x 'mod' y" := (#ident.Z_modulo @ x @ y)%pattern : pattern_scope. Notation "- x" := (#ident.Z_opp @ x) : pattern_scope. + Notation "#?ℤ'" := (#ident.Z_cast @ #?ℤ) : pattern_scope. Notation "??'" := (#ident.Z_cast @ Wildcard _) : pattern_scope. Notation "x -' y" := (#ident.Z_cast @ (#ident.Z_sub @ x @ y)) : pattern_scope. Notation "x +' y" := (#ident.Z_cast @ (#ident.Z_add @ x @ y)) : pattern_scope. @@ -1747,34 +1748,34 @@ Module Compilers. Definition arith_with_casts_rewrite_rules : rewrite_rulesT := [make_rewrite (#(@pattern.ident.fst '1 '2) @ (??, ??)) (fun _ _ x y => x) - ; make_rewrite (#(@pattern.ident.snd '1 '2) @ (??, ??)) (fun _ x _ y => y) + ; make_rewrite (#(@pattern.ident.snd '1 '2) @ (??, ??)) (fun _ _ x y => y) - ; make_rewriteo (??') (fun r v => ##(lower r) when lower r =? upper r) + ; make_rewriteo (??') (fun r v => cst r (##(lower r)) when lower r =? upper r) ; make_rewriteo - (#?ℤ +' ??') - (fun rp z rv v => cst rv v when (z =? 0) && (ZRange.normalize rv <=? ZRange.normalize rp)%zrange) + (#?ℤ' + ?? ) + (fun rz z v => v when (z =? 0) && (is_bounded_by_bool z (ZRange.normalize rz))) ; make_rewriteo - (??' +' #?ℤ ) - (fun rp rv v z => cst rv v when (z =? 0) && (ZRange.normalize rv <=? ZRange.normalize rp)%zrange) + (?? + #?ℤ') + (fun v rz z => v when (z =? 0) && (is_bounded_by_bool z (ZRange.normalize rz))) ; make_rewriteo - (#?ℤ - (-'??')) - (fun z rnv rv v => cst rv v when (z =? 0) && (ZRange.normalize rv <=? -ZRange.normalize rnv)%zrange) - ; make_rewriteo (#?ℤ - ?? ) (fun z v => -v when z =? 0) + (#?ℤ' - (-'??')) + (fun rz z rnv rv v => cst rv v when (z =? 0) && (ZRange.normalize rv <=? -ZRange.normalize rnv)%zrange && (is_bounded_by_bool z rz)) + ; make_rewriteo (#?ℤ' - ?? ) (fun rz z v => -v when (z =? 0) && is_bounded_by_bool z (ZRange.normalize rz)) - ; make_rewriteo (#?ℤ << ??) (fun x y => ##0 when x =? 0) + ; make_rewriteo (#?ℤ' << ??) (fun rx x y => ##0 when (x =? 0) && is_bounded_by_bool x (ZRange.normalize rx)) ; make_rewriteo (-(-'??')) (fun rnv rv v => cst rv v when (ZRange.normalize rv <=? -ZRange.normalize rnv)%zrange) - ; make_rewriteo (#pattern.ident.Z_mul_split @ #?ℤ @ #?ℤ @ ??) (fun s xx y => (##0, ##0)%Z when xx =? 0) - ; make_rewriteo (#pattern.ident.Z_mul_split @ #?ℤ @ ?? @ #?ℤ) (fun s y xx => (##0, ##0)%Z when xx =? 0) + ; make_rewriteo (#pattern.ident.Z_mul_split @ ?? @ #?ℤ' @ ??) (fun s rxx xx y => (cst r[0~>0] ##0, cst r[0~>0] ##0)%Z when (xx =? 0) && is_bounded_by_bool xx (ZRange.normalize rxx)) + ; make_rewriteo (#pattern.ident.Z_mul_split @ ?? @ ?? @ #?ℤ') (fun s y rxx xx => (cst r[0~>0] ##0, cst r[0~>0] ##0)%Z when (xx =? 0) && is_bounded_by_bool xx (ZRange.normalize rxx)) ; make_rewriteo - (#pattern.ident.Z_mul_split @ #?ℤ @ #?ℤ @ ??') - (fun s xx ry y => (cst ry y, ##0)%Z when (xx =? 1) && (ZRange.normalize ry <=? r[0~>s-1])%zrange) + (#pattern.ident.Z_mul_split @ #?ℤ' @ #?ℤ' @ ??') + (fun rs s rxx xx ry y => (cst ry y, cst r[0~>0] ##0)%Z when (xx =? 1) && (ZRange.normalize ry <=? r[0~>s-1])%zrange && is_bounded_by_bool s (ZRange.normalize rs) && is_bounded_by_bool xx (ZRange.normalize rxx)) ; make_rewriteo - (#pattern.ident.Z_mul_split @ #?ℤ @ ??' @ #?ℤ) - (fun s ry y xx => (cst ry y, ##0)%Z when (xx =? 1) && (ZRange.normalize ry <=? r[0~>s-1])%zrange) + (#pattern.ident.Z_mul_split @ #?ℤ' @ ??' @ #?ℤ') + (fun rs s ry y rxx xx => (cst ry y, cst r[0~>0] ##0)%Z when (xx =? 1) && (ZRange.normalize ry <=? r[0~>s-1])%zrange && is_bounded_by_bool s (ZRange.normalize rs) && is_bounded_by_bool xx (ZRange.normalize rxx)) (* ; make_rewriteo (#pattern.ident.Z_mul_split @ #?ℤ @ #?ℤ @ ??') @@ -1796,14 +1797,14 @@ Module Compilers. => (llet2_opp2 rvc (#ident.Z_sub_get_borrow @ s @ x @ cst ry y)) when (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_get_carry @ ?? @ #?ℤ @ ??)) - (fun rvc s yy x - => (llet2_opp2 rvc (#ident.Z_sub_get_borrow @ s @ x @ ##(-yy)%Z)) - when yy <? 0) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_get_carry @ ?? @ #?ℤ' @ ??)) + (fun rvc s ryy yy x + => (llet2_opp2 rvc (#ident.Z_sub_get_borrow @ s @ x @ cst (ZRange.opp ryy) ##(-yy)%Z)) + when (yy <? 0) && is_bounded_by_bool yy (ZRange.normalize ryy)) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_get_carry @ ?? @ ?? @ #?ℤ)) - (fun rvc s x yy => (llet2_opp2 rvc (#ident.Z_sub_get_borrow @ s @ x @ ##(-yy)%Z)) - when yy <? 0) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_get_carry @ ?? @ ?? @ #?ℤ')) + (fun rvc s x ryy yy => (llet2_opp2 rvc (#ident.Z_sub_get_borrow @ s @ x @ cst (ZRange.opp ryy) ##(-yy)%Z)) + when (yy <? 0) && is_bounded_by_bool yy (ZRange.normalize ryy)) ; make_rewriteol @@ -1817,82 +1818,82 @@ Module Compilers. => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ (cst rc c) @ x @ (cst ry y))) when ((ZRange.normalize ry <=? -ZRange.normalize rny) && (ZRange.normalize rc <=? -ZRange.normalize rnc))%zrange) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ @ (-'??') @ ??)) - (fun rvc s cc rny ry y x + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ' @ (-'??') @ ??)) + (fun rvc s rcc cc rny ry y x => (llet2_opp2 rvc (#ident.Z_sub_get_borrow @ s @ x @ cst ry y)) - when (cc =? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange) + when (cc =? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange && is_bounded_by_bool cc (ZRange.normalize rcc)) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ @ (-'??') @ ??)) - (fun rvc s cc rny ry y x - => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ ##(-cc)%Z @ x @ cst ry y)) - when (cc <? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ' @ (-'??') @ ??)) + (fun rvc s rcc cc rny ry y x + => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst (ZRange.opp rcc) ##(-cc)%Z @ x @ cst ry y)) + when (cc <? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange && is_bounded_by_bool cc (ZRange.normalize rcc)) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ @ ?? @ (-'??'))) - (fun rvc s cc x rny ry y + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ' @ ?? @ (-'??'))) + (fun rvc s rcc cc x rny ry y => (llet2_opp2 rvc (#ident.Z_sub_get_borrow @ s @ x @ cst ry y)) - when (cc =? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange) + when (cc =? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange && is_bounded_by_bool cc (ZRange.normalize rcc)) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ @ ?? @ (-'??'))) - (fun rvc s cc x rny ry y - => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ ##(-cc)%Z @ x @ cst ry y)) - when (cc <? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ' @ ?? @ (-'??'))) + (fun rvc s rcc cc x rny ry y + => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst (ZRange.opp rcc) ##(-cc)%Z @ x @ cst ry y) + when (cc <? 0) && (ZRange.normalize ry <=? -ZRange.normalize rny)%zrange && is_bounded_by_bool cc (ZRange.normalize rcc))) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ (-'??') @ #?ℤ @ ??)) - (fun rvc s rnc rc c yy x - => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst rc c @ x @ ##(-yy)%Z)) - when (yy <=? 0) && (ZRange.normalize rc <=? -ZRange.normalize rnc)%zrange) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ (-'??') @ #?ℤ' @ ??)) + (fun rvc s rnc rc c ryy yy x + => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst rc c @ x @ cst (ZRange.opp ryy) ##(-yy)%Z)) + when (yy <=? 0) && (ZRange.normalize rc <=? -ZRange.normalize rnc)%zrange && is_bounded_by_bool yy (ZRange.normalize ryy)) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ (-'??') @ ?? @ #?ℤ)) - (fun rvc s rnc rc c x yy - => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst rc c @ x @ ##(-yy)%Z)) - when (yy <=? 0) && (ZRange.normalize rc <=? -ZRange.normalize rnc)%zrange) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ (-'??') @ ?? @ #?ℤ')) + (fun rvc s rnc rc c x ryy yy + => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst rc c @ x @ cst (ZRange.opp ryy) ##(-yy)%Z)) + when (yy <=? 0) && (ZRange.normalize rc <=? -ZRange.normalize rnc)%zrange && is_bounded_by_bool yy (ZRange.normalize ryy)) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ @ #?ℤ @ ??)) - (fun rvc s cc yy x - => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ ##(-cc)%Z @ x @ ##(-yy)%Z)) - when (yy <=? 0) && (cc <=? 0) && ((yy + cc) <? 0)) (* at least one must be strictly negative *) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ' @ #?ℤ' @ ??)) + (fun rvc s rcc cc ryy yy x + => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst (ZRange.opp rcc) ##(-cc)%Z @ x @ cst (ZRange.opp ryy) ##(-yy)%Z)) + when (yy <=? 0) && (cc <=? 0) && ((yy + cc) <? 0) && is_bounded_by_bool yy (ZRange.normalize ryy) && is_bounded_by_bool cc (ZRange.normalize rcc)) (* at least one must be strictly negative *) ; make_rewriteol - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ @ ?? @ #?ℤ)) - (fun rvc s cc x yy - => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ ##(-cc)%Z @ x @ ##(-yy)%Z)) - when (yy <=? 0) && (cc <=? 0) && ((yy + cc) <? 0)) (* at least one must be strictly negative *) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ' @ ?? @ #?ℤ')) + (fun rvc s rcc cc x ryy yy + => (llet2_opp2 rvc (#ident.Z_sub_with_get_borrow @ s @ cst (ZRange.opp rcc) ##(-cc)%Z @ x @ cst (ZRange.opp ryy) ##(-yy)%Z)) + when (yy <=? 0) && (cc <=? 0) && ((yy + cc) <? 0) && is_bounded_by_bool yy (ZRange.normalize ryy) && is_bounded_by_bool cc (ZRange.normalize rcc)) (* at least one must be strictly negative *) - ; make_rewrite - (#pattern.ident.Z_add_get_carry @ #?ℤ @ #?ℤ @ #?ℤ) - (fun s xx yy => ##(Z.add_get_carry_full s xx yy)) ; make_rewriteo - (#pattern.ident.Z_add_get_carry @ #?ℤ @ #?ℤ @ ??') - (fun s xx ry y => (cst ry y, ##0) when (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange) + (#pattern.ident.Z_add_get_carry @ #?ℤ' @ #?ℤ' @ #?ℤ') + (fun rs s rxx xx ryy yy => ##(Z.add_get_carry_full s xx yy) when is_bounded_by_bool s (ZRange.normalize rs) && is_bounded_by_bool xx (ZRange.normalize rxx) && is_bounded_by_bool yy (ZRange.normalize ryy)) + ; make_rewriteo + (#pattern.ident.Z_add_get_carry @ #?ℤ' @ #?ℤ' @ ??') + (fun rs s rxx xx ry y => (cst ry y, cst r[0~>0] ##0) when (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange && is_bounded_by_bool xx (ZRange.normalize rxx) && is_bounded_by_bool s (ZRange.normalize rs)) ; make_rewriteo - (#pattern.ident.Z_add_get_carry @ #?ℤ @ ??' @ #?ℤ) - (fun s ry y xx => (cst ry y, ##0) when (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange) + (#pattern.ident.Z_add_get_carry @ #?ℤ' @ ??' @ #?ℤ') + (fun rs s ry y rxx xx => (cst ry y, cst r[0~>0] ##0) when (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange && is_bounded_by_bool xx (ZRange.normalize rxx) && is_bounded_by_bool s (ZRange.normalize rs)) - ; make_rewriteo (#pattern.ident.Z_add_with_carry @ #?ℤ @ ?? @ ??) (fun cc x y => x + y when cc =? 0) + ; make_rewriteo (#pattern.ident.Z_add_with_carry @ #?ℤ' @ ?? @ ??) (fun rcc cc x y => x + y when (cc =? 0) && is_bounded_by_bool cc (ZRange.normalize rcc)) (*; make_rewrite_step (#pattern.ident.Z_add_with_carry @ ?? @ ?? @ ??) (fun x y z => $x + $y + $z)*) - ; make_rewrite - (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ #?ℤ @ #?ℤ) - (fun s cc xx yy => ##(Z.add_with_get_carry_full s cc xx yy)) ; make_rewriteo - (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ #?ℤ @ ??') - (fun s cc xx ry y => (cst ry y, ##0) when (cc =? 0) && (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange) + (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ #?ℤ' @ #?ℤ' @ #?ℤ') + (fun rs s rcc cc rxx xx ryy yy => ##(Z.add_with_get_carry_full s cc xx yy) when is_bounded_by_bool s (ZRange.normalize rs) && is_bounded_by_bool cc (ZRange.normalize rcc) && is_bounded_by_bool xx (ZRange.normalize rxx) && is_bounded_by_bool yy (ZRange.normalize ryy)) ; make_rewriteo - (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ ??' @ #?ℤ) - (fun s cc ry y xx => (cst ry y, ##0) when (cc =? 0) && (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange) + (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ #?ℤ' @ #?ℤ' @ ??') + (fun rs s rcc cc rxx xx ry y => (cst ry y, cst r[0~>0] ##0) when (cc =? 0) && (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange && is_bounded_by_bool s (ZRange.normalize rs) && is_bounded_by_bool cc (ZRange.normalize rcc) && is_bounded_by_bool xx (ZRange.normalize rxx)) + ; make_rewriteo + (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ #?ℤ' @ ??' @ #?ℤ') + (fun rs s rcc cc ry y rxx xx => (cst ry y, cst r[0~>0] ##0) when (cc =? 0) && (xx =? 0) && (ZRange.normalize ry <=? r[0~>s-1])%zrange && is_bounded_by_bool s (ZRange.normalize rs) && is_bounded_by_bool cc (ZRange.normalize rcc) && is_bounded_by_bool xx (ZRange.normalize rxx)) (*; make_rewriteo (#pattern.ident.Z_add_with_get_carry @ ?? @ ?? @ #?ℤ @ #?ℤ) (fun s c xx yy => (c, ##0) when (xx =? 0) && (yy =? 0))*) ; make_rewriteol (* carry = 0: ADC x y -> ADD x y *) - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ @ ?? @ ??)) - (fun rvc s cc x y + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ ?? @ #?ℤ' @ ?? @ ??)) + (fun rvc s rcc cc x y => (llet2 rvc (#ident.Z_add_get_carry @ s @ x @ y)) - when cc =? 0) + when (cc =? 0) && is_bounded_by_bool cc (ZRange.normalize rcc)) ; make_rewriteol (* ADC 0 0 -> (ADX 0 0, 0) *) (* except we don't do ADX, because C stringification doesn't handle it *) - (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ #?ℤ @ #?ℤ)) - (fun rvc s rc c xx yy - => (llet vc := cst2 rvc (#ident.Z_add_with_get_carry @ ##s @ cst rc c @ ##xx @ ##yy) in - (cst (fst rvc) (#ident.fst @ cst2 rvc ($vc)), ##0)) - when (xx =? 0) && (yy =? 0) && (ZRange.normalize rc <=? r[0~>s-1])%zrange && is_bounded_by_bool 0 (snd rvc)) + (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ ??' @ #?ℤ' @ #?ℤ')) + (fun rvc rs s rc c rxx xx ryy yy + => (llet vc := cst2 rvc (#ident.Z_add_with_get_carry @ cst rs ##s @ cst rc c @ cst rxx ##xx @ cst ryy ##yy) in + (cst (fst rvc) (#ident.fst @ cst2 rvc ($vc)), cst r[0~>0] ##0)) + when (xx =? 0) && (yy =? 0) && (ZRange.normalize rc <=? r[0~>s-1])%zrange && is_bounded_by_bool 0 (snd rvc) && is_bounded_by_bool s (ZRange.normalize rs) && is_bounded_by_bool xx (ZRange.normalize rxx) && is_bounded_by_bool yy (ZRange.normalize ryy)) (* let-bind any adc/sbb/mulx *) @@ -1916,8 +1917,6 @@ Module Compilers. (#pattern.ident.Z_cast2 @ (#pattern.ident.Z_mul_split @ ?? @ ?? @ ??)) (fun rvc s x y => llet2 rvc (#ident.Z_mul_split @ s @ x @ y)) - ; make_rewriteo (#pattern.ident.Z_cast @ #?ℤ) (fun r v => ##v when is_bounded_by_bool v r) - ; make_rewrite_step (#pattern.ident.Z_cast2 @ (??, ??)) (fun r v1 v2 => (#(ident.Z_cast (fst r)) @ $v1, #(ident.Z_cast (snd r)) @ $v2)) ; make_rewriteo @@ -1925,22 +1924,31 @@ Module Compilers. (fun r1 r2 x => #(ident.Z_cast r2) @ x when ZRange.is_tighter_than_bool (ZRange.normalize r2) (ZRange.normalize r1)) ]. + Definition strip_literal_casts_rewrite_rules : rewrite_rulesT + := [make_rewriteo (#?ℤ') (fun rx x => ##x when is_bounded_by_bool x (ZRange.normalize rx))]. + + Definition nbe_dtree' := Eval compute in @compile_rewrites ident var pattern.ident (@pattern.ident.arg_types) pattern.Raw.ident (@pattern.ident.strip_types) pattern.Raw.ident.ident_beq 100 nbe_rewrite_rules. Definition arith_dtree' := Eval compute in @compile_rewrites ident var pattern.ident (@pattern.ident.arg_types) pattern.Raw.ident (@pattern.ident.strip_types) pattern.Raw.ident.ident_beq 100 (arith_rewrite_rules 0%Z (* dummy val *)). Definition arith_with_casts_dtree' := Eval compute in @compile_rewrites ident var pattern.ident (@pattern.ident.arg_types) pattern.Raw.ident (@pattern.ident.strip_types) pattern.Raw.ident.ident_beq 100 arith_with_casts_rewrite_rules. + Definition strip_literal_casts_dtree' + := Eval compute in @compile_rewrites ident var pattern.ident (@pattern.ident.arg_types) pattern.Raw.ident (@pattern.ident.strip_types) pattern.Raw.ident.ident_beq 100 strip_literal_casts_rewrite_rules. Definition nbe_dtree : decision_tree := Eval compute in invert_Some nbe_dtree'. Definition arith_dtree : decision_tree := Eval compute in invert_Some arith_dtree'. Definition arith_with_casts_dtree : decision_tree := Eval compute in invert_Some arith_with_casts_dtree'. + Definition strip_literal_casts_dtree : decision_tree + := Eval compute in invert_Some strip_literal_casts_dtree'. Definition nbe_default_fuel := Eval compute in List.length nbe_rewrite_rules. Definition arith_default_fuel := Eval compute in List.length (arith_rewrite_rules 0%Z (* dummy val *)). Definition arith_with_casts_default_fuel := Eval compute in List.length arith_with_casts_rewrite_rules. + Definition strip_literal_casts_default_fuel := Eval compute in List.length strip_literal_casts_rewrite_rules. Import PrimitiveHList. (* N.B. The [combine_hlist] call MUST eta-expand @@ -1968,12 +1976,18 @@ Module Compilers. Definition arith_with_casts_pr1_rewrite_rules := Eval hnf in projT1 arith_with_casts_split_rewrite_rules. Definition arith_with_casts_pr2_rewrite_rules := Eval hnf in projT2 arith_with_casts_split_rewrite_rules. Definition arith_with_casts_all_rewrite_rules := combine_hlist (P:=rewrite_ruleTP) (arith_with_casts_pr1_rewrite_rules) arith_with_casts_pr2_rewrite_rules. + Definition strip_literal_casts_split_rewrite_rules := Eval cbv [split_list projT1 projT2 strip_literal_casts_rewrite_rules] in split_list strip_literal_casts_rewrite_rules. + Definition strip_literal_casts_pr1_rewrite_rules := Eval hnf in projT1 strip_literal_casts_split_rewrite_rules. + Definition strip_literal_casts_pr2_rewrite_rules := Eval hnf in projT2 strip_literal_casts_split_rewrite_rules. + Definition strip_literal_casts_all_rewrite_rules := combine_hlist (P:=rewrite_ruleTP) (strip_literal_casts_pr1_rewrite_rules) strip_literal_casts_pr2_rewrite_rules. Definition nbe_rewrite_head0 do_again {t} (idc : ident t) : value_with_lets t := @assemble_identifier_rewriters nbe_dtree nbe_all_rewrite_rules do_again t idc. Definition arith_rewrite_head0 max_const_val do_again {t} (idc : ident t) : value_with_lets t := @assemble_identifier_rewriters arith_dtree (arith_all_rewrite_rules max_const_val) do_again t idc. Definition arith_with_casts_rewrite_head0 do_again {t} (idc : ident t) : value_with_lets t := @assemble_identifier_rewriters arith_with_casts_dtree arith_with_casts_all_rewrite_rules do_again t idc. + Definition strip_literal_casts_rewrite_head0 do_again {t} (idc : ident t) : value_with_lets t + := @assemble_identifier_rewriters strip_literal_casts_dtree strip_literal_casts_all_rewrite_rules do_again t idc. Section fancy. Context (invert_low invert_high : Z (*log2wordmax*) -> Z -> option Z) @@ -1996,6 +2010,7 @@ Module Compilers. Local Notation land_good := (bounds2_good ZRange.land). Local Notation mul_good := (bounds2_good ZRange.mul). Local Notation cc_m_good output s := (bounds1_good (ZRange.cc_m s) output). + Local Notation lit_good x rx := (is_bounded_by_bool x (ZRange.normalize rx)). Definition fancy_with_casts_rewrite_rules : rewrite_rulesT := [ @@ -2007,42 +2022,24 @@ Module Compilers. (Z.add_get_carry_concrete 2^256) @@ (?x, ?y) --> (add 0) @@ (y, x) *) make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ ??' @ (pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ)))) - (fun '((r1, r2)%core) s rx x rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) offset) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ #?ℤ @ (pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ)))) - (fun '((r1, r2)%core) s xx rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) offset) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) + (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ' @ ??' @ (pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) @ #?ℤ')))) + (fun '((r1, r2)%core) rs s rx x rshiftl rland ry y rmask mask roffset offset => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) offset) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s) && lit_good s rs && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ (pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ)) @ ??')) - (fun '((r1, r2)%core) s rshiftl rland ry y mask offset rx x => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) offset) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ (pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ)) @ #?ℤ)) - (fun '((r1, r2)%core) s rshiftl rland ry y mask offset xx => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) offset) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) + (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ' @ (pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) @ #?ℤ')) @ ??')) + (fun '((r1, r2)%core) rs s rshiftl rland ry y rmask mask roffset offset rx x => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) offset) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s) && lit_good s rs && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ ??' @ (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ)))) - (fun '((r1, r2)%core) s rx x rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) (-offset)) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ #?ℤ @ (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ)))) - (fun '((r1, r2)%core) s xx rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) (-offset)) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) + (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ' @ ??' @ (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ')))) + (fun '((r1, r2)%core) rs s rx x rshiftr ry y roffset offset => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) (-offset)) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s && lit_good s rs && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) @ ??')) - (fun '((r1, r2)%core) s rshiftr ry y offset rx x => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) (-offset)) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) @ #?ℤ)) - (fun '((r1, r2)%core) s rshiftr ry y offset xx => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) (-offset)) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) + (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ') @ ??')) + (fun '((r1, r2)%core) rs s rshiftr ry y roffset offset rx x => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) (-offset)) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s && lit_good s rs && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ ??' @ ??')) - (fun '((r1, r2)%core) s rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) 0) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ ??' @ #?ℤ)) - (fun '((r1, r2)%core) s rx x yy => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) 0) @ (cst rx x, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ @ #?ℤ @ ??')) - (fun '((r1, r2)%core) s xx ry y => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) 0) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) + (pcst2 (#pattern.ident.Z_add_get_carry @ #?ℤ' @ ??' @ ??')) + (fun '((r1, r2)%core) rs s rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_add (Z.log2 s) 0) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s && lit_good s rs) (* (Z.add_with_get_carry_concrete 2^256) @@ (?c, ?x, ?y << 128) --> (addc 128) @@ (c, x, y) (Z.add_with_get_carry_concrete 2^256) @@ (?c, ?x << 128, ?y) --> (addc 128) @@ (c, y, x) @@ -2051,212 +2048,78 @@ Module Compilers. (Z.add_with_get_carry_concrete 2^256) @@ (?c, ?x, ?y) --> (addc 0) @@ (c, y, x) *) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s rc c rx x rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s cc rx x rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (##cc, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ #?ℤ @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s rc c xx rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (cst rc c, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s cc xx rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (##cc, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) + (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) @ #?ℤ'))) + (fun '((r1, r2)%core) rs s rc c rx x rshiftl rland ry y rmask mask roffset offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && land_good rland ry mask && range_in_bitwidth rshiftl s && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s) && lit_good s rs && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ) @ ??')) - (fun '((r1, r2)%core) s rc c rshiftl rland ry y mask offset rx x => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ) @ ??')) - (fun '((r1, r2)%core) s cc rshiftl rland ry y mask offset rx x => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (##cc, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ) @ #?ℤ)) - (fun '((r1, r2)%core) s rc c rshiftl rland ry y mask offset xx => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (cst rc c, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ) @ #?ℤ)) - (fun '((r1, r2)%core) s cc rshiftl rland ry y mask offset xx => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (##cc, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) + (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) @ #?ℤ') @ ??')) + (fun '((r1, r2)%core) rs s rc c rshiftl rland ry y rmask mask roffset offset rx x => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) offset) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s) && lit_good s rs && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s rc c rx x rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s cc rx x rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (##cc, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s rc c xx rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (cst rc c, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s cc xx rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (##cc, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) + (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ'))) + (fun '((r1, r2)%core) rs s rc c rx x rshiftr ry y roffset offset => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s && lit_good s rs && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) @ ??')) - (fun '((r1, r2)%core) s rc c rshiftr ry y offset rx x => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) @ ??')) - (fun '((r1, r2)%core) s cc rshiftr ry y offset rx x => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (##cc, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) @ #?ℤ)) - (fun '((r1, r2)%core) s rc c rshiftr ry y offset xx => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (cst rc c, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) @ #?ℤ)) - (fun '((r1, r2)%core) s cc rshiftr ry y offset xx => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (##cc, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) + (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ') @ ??')) + (fun '((r1, r2)%core) rs s rc c rshiftr ry y roffset offset rx x => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) (-offset)) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s && lit_good s rs && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ ??' @ ??')) - (fun '((r1, r2)%core) s rc c rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ ??' @ ??')) - (fun '((r1, r2)%core) s cc rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (##cc, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ #?ℤ @ ??')) - (fun '((r1, r2)%core) s rc c xx ry y => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (cst rc c, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ ??' @ #?ℤ)) - (fun '((r1, r2)%core) s rc c rx x yy => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (cst rc c, cst rx x, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ #?ℤ @ ??')) - (fun '((r1, r2)%core) s cc xx ry y => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (##cc, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ #?ℤ @ ??' @ #?ℤ)) - (fun '((r1, r2)%core) s cc rx x yy => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (##cc, cst rx x, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ @ ??' @ #?ℤ @ #?ℤ)) - (fun '((r1, r2)%core) s rc c xx yy => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (cst rc c, ##xx, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) + (pcst2 (#pattern.ident.Z_add_with_get_carry @ #?ℤ' @ ??' @ ??' @ ??')) + (fun '((r1, r2)%core) rs s rc c rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_addc (Z.log2 s) 0) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s && lit_good s rs) + (* (Z.sub_get_borrow_concrete 2^256) @@ (?x, ?y << 128) --> (sub 128) @@ (x, y) (Z.sub_get_borrow_concrete 2^256) @@ (?x, ?y >> 128) --> (sub (- 128)) @@ (x, y) (Z.sub_get_borrow_concrete 2^256) @@ (?x, ?y) --> (sub 0) @@ (y, x) *) ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s rx x rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) offset) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s xx rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) offset) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) + (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ' @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) @ #?ℤ'))) + (fun '((r1, r2)%core) rs s rx x rshiftl rland ry y rmask mask roffset offset => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) offset) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s) && lit_good s rs && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s rx x rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) (-offset)) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s xx rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) (-offset)) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) + (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ' @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ'))) + (fun '((r1, r2)%core) rs s rx x rshiftr ry y roffset offset => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) (-offset)) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s && lit_good s rs && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ @ ??' @ ??')) - (fun '((r1, r2)%core) s rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) 0) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ @ #?ℤ @ ??')) - (fun '((r1, r2)%core) s xx ry y => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) 0) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ @ ??' @ #?ℤ)) - (fun '((r1, r2)%core) s rx x yy => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) 0) @ (cst rx x, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) + (pcst2 (#pattern.ident.Z_sub_get_borrow @ #?ℤ' @ ??' @ ??')) + (fun '((r1, r2)%core) rs s rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_sub (Z.log2 s) 0) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s && lit_good s rs) (* (Z.sub_with_get_borrow_concrete 2^256) @@ (?c, ?x, ?y << 128) --> (subb 128) @@ (c, x, y) (Z.sub_with_get_borrow_concrete 2^256) @@ (?c, ?x, ?y >> 128) --> (subb (- 128)) @@ (c, x, y) (Z.sub_with_get_borrow_concrete 2^256) @@ (?c, ?x, ?y) --> (subb 0) @@ (c, y, x) *) ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s rb b rx x rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) offset) @ (cst rb b, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s bb rx x rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) offset) @ (##bb, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ #?ℤ @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s rb b xx rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) offset) @ (cst rb b, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) @ #?ℤ))) - (fun '((r1, r2)%core) s bb xx rshiftl rland ry y mask offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) offset) @ (##bb, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s)) + (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ' @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftl @ (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) @ #?ℤ'))) + (fun '((r1, r2)%core) rs s rb b rx x rshiftl rland ry y rmask mask roffset offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) offset) @ (cst rb b, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftl_good rshiftl rland offset && range_in_bitwidth rshiftl s && land_good rland ry mask && (mask =? Z.ones (Z.log2 s - offset)) && (0 <=? offset) && (offset <=? Z.log2 s) && lit_good s rs && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s rb b rx x rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) (-offset)) @ (cst rb b, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ #?ℤ @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s bb rx x rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) (-offset)) @ (##bb, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s rb b xx rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) (-offset)) @ (cst rb b, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ #?ℤ @ #?ℤ @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ))) - (fun '((r1, r2)%core) s bb xx rshiftr ry y offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) (-offset)) @ (##bb, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s) + (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ' @ ??' @ ??' @ pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ'))) + (fun '((r1, r2)%core) rs s rb b rx x rshiftr ry y roffset offset => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) (-offset)) @ (cst rb b, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && shiftr_good rshiftr ry offset && range_in_bitwidth rshiftr s && lit_good s rs && lit_good offset roffset) ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ ??' @ ??')) - (fun '((r1, r2)%core) s rb b rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (cst rb b, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ #?ℤ @ ??' @ ??')) - (fun '((r1, r2)%core) s bb rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (##bb, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ #?ℤ @ ??')) - (fun '((r1, r2)%core) s rb b xx ry y => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (cst rb b, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ ??' @ #?ℤ)) - (fun '((r1, r2)%core) s rb b rx x yy => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (cst rb b, cst rx x, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ #?ℤ @ #?ℤ @ ??')) - (fun '((r1, r2)%core) s bb xx ry y => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (##bb, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ #?ℤ @ ??' @ #?ℤ)) - (fun '((r1, r2)%core) s bb rx x yy => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (##bb, cst rx x, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) - ; make_rewriteo - (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ @ ??' @ #?ℤ @ #?ℤ)) - (fun '((r1, r2)%core) s rb b xx yy => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (cst rb b, ##xx, ##yy)) when (s =? 2^Z.log2 s) && range_in_bitwidth yy s) + (pcst2 (#pattern.ident.Z_sub_with_get_borrow @ #?ℤ' @ ??' @ ??' @ ??')) + (fun '((r1, r2)%core) rs s rb b rx x ry y => cst2 (r1, r2)%core (#(ident.fancy_subb (Z.log2 s) 0) @ (cst rb b, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && range_in_bitwidth ry s && lit_good s rs) (*(Z.rshi_concrete 2^256 ?n) @@ (?c, ?x, ?y) --> (rshi n) @@ (x, y)*) ; make_rewriteo - (pcst (#pattern.ident.Z_rshi @ #?ℤ @ ??' @ ??' @ #?ℤ)) - (fun r s rx x ry y n => cst r (#(ident.fancy_rshi (Z.log2 s) n) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s)) - ; make_rewriteo - (pcst (#pattern.ident.Z_rshi @ #?ℤ @ #?ℤ @ ??' @ #?ℤ)) - (fun r s xx ry y n => cst r (#(ident.fancy_rshi (Z.log2 s) n) @ (##xx, cst ry y)) when (s =? 2^Z.log2 s)) - ; make_rewriteo - (pcst (#pattern.ident.Z_rshi @ #?ℤ @ ??' @ #?ℤ @ #?ℤ)) - (fun r s rx x yy n => cst r (#(ident.fancy_rshi (Z.log2 s) n) @ (cst rx x, ##yy)) when (s =? 2^Z.log2 s)) + (pcst (#pattern.ident.Z_rshi @ #?ℤ' @ ??' @ ??' @ #?ℤ')) + (fun r rs s rx x ry y rn n => cst r (#(ident.fancy_rshi (Z.log2 s) n) @ (cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && lit_good s rs && lit_good n rn) (* Z.zselect @@ (Z.cc_m_concrete 2^256 ?c, ?x, ?y) --> selm @@ (c, x, y) Z.zselect @@ (?c &' 1, ?x, ?y) --> sell @@ (c, x, y) Z.zselect @@ (?c, ?x, ?y) --> selc @@ (c, x, y) *) ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_cc_m @ #?ℤ @ ??') @ ??' @ ??')) - (fun r rccm s rc c rx x ry y => cst r (#(ident.fancy_selm (Z.log2 s)) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && cc_m_good rccm s rc) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_cc_m @ #?ℤ @ ??') @ #?ℤ @ ??')) - (fun r rccm s rc c xx ry y => cst r (#(ident.fancy_selm (Z.log2 s)) @ (cst rc c, ##xx, cst ry y)) when (s =? 2^Z.log2 s) && cc_m_good rccm s rc) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_cc_m @ #?ℤ @ ??') @ ??' @ #?ℤ)) - (fun r rccm s rc c rx x yy => cst r (#(ident.fancy_selm (Z.log2 s)) @ (cst rc c, cst rx x, ##yy)) when (s =? 2^Z.log2 s) && cc_m_good rccm s rc) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_cc_m @ #?ℤ @ ??') @ #?ℤ @ #?ℤ)) - (fun r rccm s rc c xx yy => cst r (#(ident.fancy_selm (Z.log2 s)) @ (cst rc c, ##xx, ##yy)) when (s =? 2^Z.log2 s) && cc_m_good rccm s rc) + (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_cc_m @ #?ℤ' @ ??') @ ??' @ ??')) + (fun r rccm rs s rc c rx x ry y => cst r (#(ident.fancy_selm (Z.log2 s)) @ (cst rc c, cst rx x, cst ry y)) when (s =? 2^Z.log2 s) && cc_m_good rccm s rc && lit_good s rs) ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ #?ℤ @ ??') @ ??' @ ??')) - (fun r rland mask rc c rx x ry y => cst r (#ident.fancy_sell @ (cst rc c, cst rx x, cst ry y)) when (mask =? 1) && land_good rland mask rc) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ #?ℤ @ ??') @ #?ℤ @ ??')) - (fun r rland mask rc c xx ry y => cst r (#ident.fancy_sell @ (cst rc c, ##xx, cst ry y)) when (mask =? 1) && land_good rland mask rc) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ #?ℤ @ ??') @ ??' @ #?ℤ)) - (fun r rland mask rc c rx x yy => cst r (#ident.fancy_sell @ (cst rc c, cst rx x, ##yy)) when (mask =? 1) && land_good rland mask rc) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ #?ℤ @ ??') @ #?ℤ @ #?ℤ)) - (fun r rland mask rc c xx yy => cst r (#ident.fancy_sell @ (cst rc c, ##xx, ##yy)) when (mask =? 1) && land_good rland mask rc) + (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ #?ℤ' @ ??') @ ??' @ ??')) + (fun r rland rmask mask rc c rx x ry y => cst r (#ident.fancy_sell @ (cst rc c, cst rx x, cst ry y)) when (mask =? 1) && land_good rland mask rc && lit_good mask rmask) ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) @ ??' @ ??')) - (fun r rland rc c mask rx x ry y => cst r (#ident.fancy_sell @ (cst rc c, cst rx x, cst ry y)) when (mask =? 1) && land_good rland rc mask) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) @ #?ℤ @ ??')) - (fun r rland rc c mask xx ry y => cst r (#ident.fancy_sell @ (cst rc c, ##xx, cst ry y)) when (mask =? 1) && land_good rland rc mask) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) @ ??' @ #?ℤ)) - (fun r rland rc c mask rx x yy => cst r (#ident.fancy_sell @ (cst rc c, cst rx x, ##yy)) when (mask =? 1) && land_good rland rc mask) - ; make_rewriteo - (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) @ #?ℤ @ #?ℤ)) - (fun r rland rc c mask xx yy => cst r (#ident.fancy_sell @ (cst rc c, ##xx, ##yy)) when (mask =? 1) && land_good rland rc mask) + (pcst (#pattern.ident.Z_zselect @ pcst (#pattern.ident.Z_land @ ??' @ #?ℤ') @ ??' @ ??')) + (fun r rland rc c rmask mask rx x ry y => cst r (#ident.fancy_sell @ (cst rc c, cst rx x, cst ry y)) when (mask =? 1) && land_good rland rc mask && lit_good mask rmask) ; make_rewrite (pcst (#pattern.ident.Z_zselect @ ?? @ ?? @ ??)) @@ -2274,70 +2137,70 @@ Z.mul @@ (?x >> 128, ?y >> 128) --> mulhh @@ (x, y) *) (* literal on left *) ; make_rewriteo - (#?ℤ *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) - (fun r x rland ry y mask => let s := (2*Z.log2_up mask)%Z in x <- invert_low s x; cst r (#(ident.fancy_mulll s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland ry mask) + (#?ℤ' *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) + (fun r rx x rland ry y rmask mask => let s := (2*Z.log2_up mask)%Z in x <- invert_low s x; cst r (#(ident.fancy_mulll s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland ry mask && lit_good x rx && lit_good mask rmask) ; make_rewriteo - (#?ℤ *' pcst (#pattern.ident.Z_land @ #?ℤ @ ??')) - (fun r x rland mask ry y => let s := (2*Z.log2_up mask)%Z in x <- invert_low s x; cst r (#(ident.fancy_mulll s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland mask ry) + (#?ℤ' *' pcst (#pattern.ident.Z_land @ #?ℤ' @ ??')) + (fun r rx x rland rmask mask ry y => let s := (2*Z.log2_up mask)%Z in x <- invert_low s x; cst r (#(ident.fancy_mulll s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland mask ry && lit_good x rx && lit_good mask rmask) ; make_rewriteo - (#?ℤ *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ)) - (fun r x rshiftr ry y offset => let s := (2*offset)%Z in x <- invert_low s x; cst r (#(ident.fancy_mullh s) @ (##x, cst ry y)) when shiftr_good rshiftr ry offset) + (#?ℤ' *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ')) + (fun r rx x rshiftr ry y roffset offset => let s := (2*offset)%Z in x <- invert_low s x; cst r (#(ident.fancy_mullh s) @ (##x, cst ry y)) when shiftr_good rshiftr ry offset && lit_good x rx && lit_good offset roffset) ; make_rewriteo - (#?ℤ *' pcst (#pattern.ident.Z_land @ #?ℤ @ ??')) - (fun r x rland mask ry y => let s := (2*Z.log2_up mask)%Z in x <- invert_high s x; cst r (#(ident.fancy_mulhl s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland mask ry) + (#?ℤ' *' pcst (#pattern.ident.Z_land @ #?ℤ' @ ??')) + (fun r rx x rland rmask mask ry y => let s := (2*Z.log2_up mask)%Z in x <- invert_high s x; cst r (#(ident.fancy_mulhl s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland mask ry && lit_good x rx && lit_good mask rmask) ; make_rewriteo - (#?ℤ *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) - (fun r x rland ry y mask => let s := (2*Z.log2_up mask)%Z in x <- invert_high s x; cst r (#(ident.fancy_mulhl s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland ry mask) + (#?ℤ' *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) + (fun r rx x rland ry y rmask mask => let s := (2*Z.log2_up mask)%Z in x <- invert_high s x; cst r (#(ident.fancy_mulhl s) @ (##x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland ry mask && lit_good x rx && lit_good mask rmask) ; make_rewriteo - (#?ℤ *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ)) - (fun r x rshiftr ry y offset => let s := (2*offset)%Z in x <- invert_high s x; cst r (#(ident.fancy_mulhh s) @ (##x, cst ry y)) when shiftr_good rshiftr ry offset) + (#?ℤ' *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ')) + (fun r rx x rshiftr ry y roffset offset => let s := (2*offset)%Z in x <- invert_high s x; cst r (#(ident.fancy_mulhh s) @ (##x, cst ry y)) when shiftr_good rshiftr ry offset && lit_good x rx && lit_good offset roffset) (* literal on right *) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ #?ℤ @ ??') *' #?ℤ) - (fun r rland mask rx x y => let s := (2*Z.log2_up mask)%Z in y <- invert_low s y; cst r (#(ident.fancy_mulll s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland mask rx) + (pcst (#pattern.ident.Z_land @ #?ℤ' @ ??') *' #?ℤ') + (fun r rland rmask mask rx x ry y => let s := (2*Z.log2_up mask)%Z in y <- invert_low s y; cst r (#(ident.fancy_mulll s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland mask rx && lit_good y ry && lit_good mask rmask) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) *' #?ℤ) - (fun r rland rx x mask y => let s := (2*Z.log2_up mask)%Z in y <- invert_low s y; cst r (#(ident.fancy_mulll s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland rx mask) + (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ') *' #?ℤ') + (fun r rland rx x rmask mask ry y => let s := (2*Z.log2_up mask)%Z in y <- invert_low s y; cst r (#(ident.fancy_mulll s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland rx mask && lit_good y ry && lit_good mask rmask) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ #?ℤ @ ??') *' #?ℤ) - (fun r rland mask rx x y => let s := (2*Z.log2_up mask)%Z in y <- invert_high s y; cst r (#(ident.fancy_mullh s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland mask rx) + (pcst (#pattern.ident.Z_land @ #?ℤ' @ ??') *' #?ℤ') + (fun r rland rmask mask rx x ry y => let s := (2*Z.log2_up mask)%Z in y <- invert_high s y; cst r (#(ident.fancy_mullh s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland mask rx && lit_good y ry && lit_good mask rmask) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) *' #?ℤ) - (fun r rland rx x mask y => let s := (2*Z.log2_up mask)%Z in y <- invert_high s y; cst r (#(ident.fancy_mullh s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland rx mask) + (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ') *' #?ℤ') + (fun r rland rx x rmask mask ry y => let s := (2*Z.log2_up mask)%Z in y <- invert_high s y; cst r (#(ident.fancy_mullh s) @ (cst rx x, ##y)) when (mask =? 2^(s/2)-1) && land_good rland rx mask && lit_good y ry && lit_good mask rmask) ; make_rewriteo - (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) *' #?ℤ) - (fun r rshiftr rx x offset y => let s := (2*offset)%Z in y <- invert_low s y; cst r (#(ident.fancy_mulhl s) @ (cst rx x, ##y)) when shiftr_good rshiftr rx offset) + (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ') *' #?ℤ') + (fun r rshiftr rx x roffset offset ry y => let s := (2*offset)%Z in y <- invert_low s y; cst r (#(ident.fancy_mulhl s) @ (cst rx x, ##y)) when shiftr_good rshiftr rx offset && lit_good y ry && lit_good offset roffset) ; make_rewriteo - (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) *' #?ℤ) - (fun r rshiftr rx x offset y => let s := (2*offset)%Z in y <- invert_high s y; cst r (#(ident.fancy_mulhh s) @ (cst rx x, ##y)) when shiftr_good rshiftr rx offset) + (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ') *' #?ℤ') + (fun r rshiftr rx x roffset offset ry y => let s := (2*offset)%Z in y <- invert_high s y; cst r (#(ident.fancy_mulhh s) @ (cst rx x, ##y)) when shiftr_good rshiftr rx offset && lit_good y ry && lit_good offset roffset) (* no literal *) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ #?ℤ @ ??') *' pcst (#pattern.ident.Z_land @ #?ℤ @ ??')) - (fun r rland1 mask1 rx x rland2 mask2 ry y => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 mask1 rx && land_good rland2 mask2 ry) + (pcst (#pattern.ident.Z_land @ #?ℤ' @ ??') *' pcst (#pattern.ident.Z_land @ #?ℤ' @ ??')) + (fun r rland1 rmask1 mask1 rx x rland2 rmask2 mask2 ry y => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 mask1 rx && land_good rland2 mask2 ry && lit_good mask1 rmask1 && lit_good mask2 rmask2) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) *' pcst (#pattern.ident.Z_land @ #?ℤ @ ??')) - (fun r rland1 rx x mask1 rland2 mask2 ry y => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 rx mask1 && land_good rland2 mask2 ry) + (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ') *' pcst (#pattern.ident.Z_land @ #?ℤ' @ ??')) + (fun r rland1 rx x rmask1 mask1 rland2 rmask2 mask2 ry y => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 rx mask1 && land_good rland2 mask2 ry && lit_good mask1 rmask1 && lit_good mask2 rmask2) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ #?ℤ @ ??') *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) - (fun r rland1 mask1 rx x rland2 ry y mask2 => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 mask1 rx && land_good rland2 ry mask2) + (pcst (#pattern.ident.Z_land @ #?ℤ' @ ??') *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) + (fun r rland1 rmask1 mask1 rx x rland2 ry y rmask2 mask2 => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 mask1 rx && land_good rland2 ry mask2 && lit_good mask1 rmask1 && lit_good mask2 rmask2) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) - (fun r rland1 rx x mask1 rland2 ry y mask2 => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 rx mask1 && land_good rland2 ry mask2) + (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ') *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) + (fun r rland1 rx x rmask1 mask1 rland2 ry y rmask2 mask2 => let s := (2*Z.log2_up mask1)%Z in cst r (#(ident.fancy_mulll s) @ (cst rx x, cst ry y)) when (mask1 =? 2^(s/2)-1) && (mask2 =? 2^(s/2)-1) && land_good rland1 rx mask1 && land_good rland2 ry mask2 && lit_good mask1 rmask1 && lit_good mask2 rmask2) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ #?ℤ @ ??') *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ)) - (fun r rland1 mask rx x rshiftr2 ry y offset => let s := (2*offset)%Z in cst r (#(ident.fancy_mullh s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland1 mask rx && shiftr_good rshiftr2 ry offset) + (pcst (#pattern.ident.Z_land @ #?ℤ' @ ??') *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ')) + (fun r rland1 rmask mask rx x rshiftr2 ry y roffset offset => let s := (2*offset)%Z in cst r (#(ident.fancy_mullh s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland1 mask rx && shiftr_good rshiftr2 ry offset && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ) *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ)) - (fun r rland1 rx x mask rshiftr2 ry y offset => let s := (2*offset)%Z in cst r (#(ident.fancy_mullh s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland1 rx mask && shiftr_good rshiftr2 ry offset) + (pcst (#pattern.ident.Z_land @ ??' @ #?ℤ') *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ')) + (fun r rland1 rx x rmask mask rshiftr2 ry y roffset offset => let s := (2*offset)%Z in cst r (#(ident.fancy_mullh s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && land_good rland1 rx mask && shiftr_good rshiftr2 ry offset && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) *' pcst (#pattern.ident.Z_land @ #?ℤ @ ??')) - (fun r rshiftr1 rx x offset rland2 mask ry y => let s := (2*offset)%Z in cst r (#(ident.fancy_mulhl s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && shiftr_good rshiftr1 rx offset && land_good rland2 mask ry) + (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ') *' pcst (#pattern.ident.Z_land @ #?ℤ' @ ??')) + (fun r rshiftr1 rx x roffset offset rland2 rmask mask ry y => let s := (2*offset)%Z in cst r (#(ident.fancy_mulhl s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && shiftr_good rshiftr1 rx offset && land_good rland2 mask ry && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ)) - (fun r rshiftr1 rx x offset rland2 ry y mask => let s := (2*offset)%Z in cst r (#(ident.fancy_mulhl s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && shiftr_good rshiftr1 rx offset && land_good rland2 ry mask) + (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ') *' pcst (#pattern.ident.Z_land @ ??' @ #?ℤ')) + (fun r rshiftr1 rx x roffset offset rland2 ry y rmask mask => let s := (2*offset)%Z in cst r (#(ident.fancy_mulhl s) @ (cst rx x, cst ry y)) when (mask =? 2^(s/2)-1) && shiftr_good rshiftr1 rx offset && land_good rland2 ry mask && lit_good mask rmask && lit_good offset roffset) ; make_rewriteo - (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ) *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ)) - (fun r rshiftr1 rx x offset1 rshiftr2 ry y offset2 => let s := (2*offset1)%Z in cst r (#(ident.fancy_mulhh s) @ (cst rx x, cst ry y)) when (offset1 =? offset2) && shiftr_good rshiftr1 rx offset1 && shiftr_good rshiftr2 ry offset2) + (pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ') *' pcst (#pattern.ident.Z_shiftr @ ??' @ #?ℤ')) + (fun r rshiftr1 rx x roffset1 offset1 rshiftr2 ry y roffset2 offset2 => let s := (2*offset1)%Z in cst r (#(ident.fancy_mulhh s) @ (cst rx x, cst ry y)) when (offset1 =? offset2) && shiftr_good rshiftr1 rx offset1 && shiftr_good rshiftr2 ry offset2 && lit_good offset1 roffset1 && lit_good offset2 roffset2) @@ -2595,12 +2458,29 @@ Z.mul @@ (?x >> 128, ?y >> 128) --> mulhh @@ (x, y) Redirect "arith_with_casts_rewrite_head" Print arith_with_casts_rewrite_head. End red_arith_with_casts. + Section red_strip_literal_casts. + Context {var : type.type base.type -> Type} + (do_again : forall t : base.type, @expr base.type ident (@Compile.value base.type ident var) (type.base t) + -> @UnderLets.UnderLets base.type ident var (@expr base.type ident var (type.base t))) + {t} (idc : ident t). + + Time Definition strip_literal_casts_rewrite_head + := make_rewrite_head (@strip_literal_casts_rewrite_head0 var do_again t idc) (@strip_literal_casts_pr2_rewrite_rules). + + Local Set Printing Depth 1000000. + Local Set Printing Width 200. + Import RewriterPrintingNotations. + Redirect "strip_literal_casts_rewrite_head" Print strip_literal_casts_rewrite_head. + End red_strip_literal_casts. + Definition RewriteNBE {t} (e : expr.Expr (ident:=ident) t) : expr.Expr (ident:=ident) t := @Compile.Rewrite (@nbe_rewrite_head) nbe_default_fuel t e. Definition RewriteArith (max_const_val : Z) {t} (e : expr.Expr (ident:=ident) t) : expr.Expr (ident:=ident) t := @Compile.Rewrite (@arith_rewrite_head max_const_val) arith_default_fuel t e. Definition RewriteArithWithCasts {t} (e : expr.Expr (ident:=ident) t) : expr.Expr (ident:=ident) t := @Compile.Rewrite (@arith_with_casts_rewrite_head) arith_with_casts_default_fuel t e. + Definition RewriteStripLiteralCasts {t} (e : expr.Expr (ident:=ident) t) : expr.Expr (ident:=ident) t + := @Compile.Rewrite (fun var do_again => @strip_literal_casts_rewrite_head var) strip_literal_casts_default_fuel t e. Definition RewriteToFancy (invert_low invert_high : Z (*log2wordmax*) -> Z -> @option Z) {t} (e : expr.Expr (ident:=ident) t) : expr.Expr (ident:=ident) t diff --git a/src/RewriterProofs.v b/src/RewriterProofs.v index c18527305..e4ac4afda 100644 --- a/src/RewriterProofs.v +++ b/src/RewriterProofs.v @@ -94,6 +94,11 @@ Module Compilers. start_Wf_proof arith_with_casts_rewrite_head_eq arith_with_casts_all_rewrite_rules_eq (@arith_with_casts_rewrite_head0). apply arith_with_casts_rewrite_rules_good. Qed. + Lemma Wf_RewriteStripLiteralCasts {t} e (Hwf : Wf e) : Wf (@RewriteStripLiteralCasts t e). + Proof. + start_Wf_proof strip_literal_casts_rewrite_head_eq strip_literal_casts_all_rewrite_rules_eq (@strip_literal_casts_rewrite_head0). + apply strip_literal_casts_rewrite_rules_good. + Qed. Lemma Wf_RewriteToFancy (invert_low invert_high : Z -> Z -> option Z) (Hlow : forall s v v', invert_low s v = Some v' -> v = Z.land v' (2^(s/2)-1)) (Hhigh : forall s v v', invert_high s v = Some v' -> v = Z.shiftr v' (s/2)) @@ -136,6 +141,14 @@ Module Compilers. apply arith_with_casts_rewrite_rules_interp_good. Qed. + Lemma Interp_gen_RewriteStripLiteralCasts {cast_outside_of_range} {t} e (Hwf : Wf e) + : expr.Interp (@ident.gen_interp cast_outside_of_range) (@RewriteStripLiteralCasts t e) + == expr.Interp (@ident.gen_interp cast_outside_of_range) e. + Proof. + start_Interp_proof strip_literal_casts_rewrite_head_eq strip_literal_casts_all_rewrite_rules_eq (@strip_literal_casts_rewrite_head0). + apply strip_literal_casts_rewrite_rules_interp_good. + Qed. + Lemma Interp_gen_RewriteToFancy {cast_outside_of_range} (invert_low invert_high : Z -> Z -> option Z) (Hlow : forall s v v', invert_low s v = Some v' -> v = Z.land v' (2^(s/2)-1)) (Hhigh : forall s v v', invert_high s v = Some v' -> v = Z.shiftr v' (s/2)) @@ -167,6 +180,9 @@ Module Compilers. Lemma Interp_RewriteArithWithCasts {t} e (Hwf : Wf e) : Interp (@RewriteArithWithCasts t e) == Interp e. Proof. apply Interp_gen_RewriteArithWithCasts; assumption. Qed. + Lemma Interp_RewriteStripLiteralCasts {t} e (Hwf : Wf e) + : Interp (@RewriteStripLiteralCasts t e) == Interp e. + Proof. apply Interp_gen_RewriteStripLiteralCasts; assumption. Qed. Lemma Interp_RewriteToFancy (invert_low invert_high : Z -> Z -> option Z) (Hlow : forall s v v', invert_low s v = Some v' -> v = Z.land v' (2^(s/2)-1)) (Hhigh : forall s v v', invert_high s v = Some v' -> v = Z.shiftr v' (s/2)) @@ -193,6 +209,6 @@ Module Compilers. : Interp (@PartialEvaluate t e) == Interp e. Proof. apply Interp_gen_PartialEvaluate; assumption. Qed. - Hint Resolve Wf_PartialEvaluate Wf_RewriteArith Wf_RewriteNBE Wf_RewriteToFancy Wf_RewriteArithWithCasts Wf_RewriteToFancyWithCasts : wf. - Hint Rewrite @Interp_gen_PartialEvaluate @Interp_gen_RewriteArith @Interp_gen_RewriteNBE @Interp_gen_RewriteToFancy @Interp_gen_RewriteArithWithCasts @Interp_gen_RewriteToFancyWithCasts @Interp_PartialEvaluate @Interp_RewriteArith @Interp_RewriteNBE @Interp_RewriteToFancy @Interp_RewriteArithWithCasts @Interp_RewriteToFancyWithCasts : interp. + Hint Resolve Wf_PartialEvaluate Wf_RewriteArith Wf_RewriteNBE Wf_RewriteToFancy Wf_RewriteArithWithCasts Wf_RewriteStripLiteralCasts Wf_RewriteToFancyWithCasts : wf. + Hint Rewrite @Interp_gen_PartialEvaluate @Interp_gen_RewriteArith @Interp_gen_RewriteNBE @Interp_gen_RewriteToFancy @Interp_gen_RewriteArithWithCasts @Interp_gen_RewriteStripLiteralCasts @Interp_gen_RewriteToFancyWithCasts @Interp_PartialEvaluate @Interp_RewriteArith @Interp_RewriteNBE @Interp_RewriteToFancy @Interp_RewriteArithWithCasts @Interp_RewriteStripLiteralCasts @Interp_RewriteToFancyWithCasts : interp. End Compilers. diff --git a/src/RewriterRulesGood.v b/src/RewriterRulesGood.v index 3718f04e5..9deb2ec6d 100644 --- a/src/RewriterRulesGood.v +++ b/src/RewriterRulesGood.v @@ -62,6 +62,9 @@ Module Compilers. Lemma arith_with_casts_rewrite_head_eq : @arith_with_casts_rewrite_head = @arith_with_casts_rewrite_head0. Proof. reflexivity. Qed. + Lemma strip_literal_casts_rewrite_head_eq : (fun var do_again => @strip_literal_casts_rewrite_head var) = @strip_literal_casts_rewrite_head0. + Proof. reflexivity. Qed. + Lemma nbe_all_rewrite_rules_eq : @nbe_all_rewrite_rules = @nbe_rewrite_rules. Proof. reflexivity. Qed. @@ -77,6 +80,9 @@ Module Compilers. Lemma arith_with_casts_all_rewrite_rules_eq : @arith_with_casts_all_rewrite_rules = @arith_with_casts_rewrite_rules. Proof. reflexivity. Qed. + Lemma strip_literal_casts_all_rewrite_rules_eq : @strip_literal_casts_all_rewrite_rules = @strip_literal_casts_rewrite_rules. + Proof. reflexivity. Qed. + Section good. Context {var1 var2 : type -> Type}. @@ -358,6 +364,13 @@ Module Compilers. Time all: repeat good_t_step. Qed. + Lemma strip_literal_casts_rewrite_rules_good + : rewrite_rules_goodT strip_literal_casts_rewrite_rules strip_literal_casts_rewrite_rules. + Proof using Type. + Time start_good. + Time all: repeat good_t_step. + Qed. + Lemma fancy_rewrite_rules_good (invert_low invert_high : Z -> Z -> option Z) (Hlow : forall s v v', invert_low s v = Some v' -> v = Z.land v' (2^(s/2)-1)) diff --git a/src/RewriterRulesInterpGood.v b/src/RewriterRulesInterpGood.v index 469f0cb31..612f72afd 100644 --- a/src/RewriterRulesInterpGood.v +++ b/src/RewriterRulesInterpGood.v @@ -743,6 +743,13 @@ Module Compilers. Time all: try solve [ repeat interp_good_t_step_related; repeat interp_good_t_step_arith; fin_with_nia ]. Qed. + Lemma strip_literal_casts_rewrite_rules_interp_good + : rewrite_rules_interp_goodT strip_literal_casts_rewrite_rules. + Proof using Type. + Time start_interp_good. + Time all: try solve [ repeat interp_good_t_step_related; repeat interp_good_t_step_arith ]. + Qed. + Local Ltac fancy_local_t := repeat match goal with | [ H : forall s v v', ?invert_low s v = Some v' -> v = _, diff --git a/src/arith_with_casts_rewrite_head.out b/src/arith_with_casts_rewrite_head.out index 365a351b0..b7bec9985 100644 --- a/src/arith_with_casts_rewrite_head.out +++ b/src/arith_with_casts_rewrite_head.out @@ -216,77 +216,150 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | @List_nth_default T => fun (x : expr T) (x0 : expr (list T)) (x1 : expr ℕ) => Base (#(List_nth_default)%expr @ x @ x0 @ x1)%expr_pat -| Z_add => fun x x0 : expr ℤ => Base (x + x0)%expr +| Z_add => + fun x x0 : expr ℤ => + (((match x with + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted (ℤ -> ℤ)%ptype + ((projT1 args) -> ℤ)%ptype + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args) -> ℤ)%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x2 <- (if + ((let (x2, _) := xv in x2) =? 0) && + is_bounded_by_bool (let (x2, _) := xv in x2) + (ZRange.normalize args0) + then Some x0 + else None); + Some (Base x2)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x0 with + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted (ℤ -> ℤ)%ptype + (ℤ -> (projT1 args))%ptype + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + (ℤ -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x2 <- (if + ((let (x2, _) := xv in x2) =? 0) && + is_bounded_by_bool (let (x2, _) := xv in x2) + (ZRange.normalize args0) + then Some x + else None); + Some (Base x2)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end);; + None);;; + Base (x + x0)%expr)%option | Z_mul => fun x x0 : expr ℤ => Base (x * x0)%expr | Z_pow => fun x x0 : expr ℤ => Base (#(Z_pow)%expr @ x @ x0)%expr_pat | Z_sub => fun x x0 : expr ℤ => ((match x with - | @expr.Ident _ _ _ t idc => + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => match x0 with - | (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t2 idc2) x3))%expr_pat => - args <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_opp; - args1 <- invert_bind_args idc0 Raw.ident.Z_cast; - args2 <- invert_bind_args idc Raw.ident.Literal; + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ + (@expr.Ident _ _ _ t3 idc3) x4))%expr_pat => + args <- invert_bind_args idc3 Raw.ident.Z_cast; + _ <- invert_bind_args idc2 Raw.ident.Z_opp; + args1 <- invert_bind_args idc1 Raw.ident.Z_cast; + args2 <- invert_bind_args idc0 Raw.ident.Literal; + args3 <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted (ℤ -> ℤ)%ptype - ((projT1 args2) -> s1)%ptype + ((projT1 args2) -> s2)%ptype with | Some (_, _)%zrange => if type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype - ((projT1 args2) -> s1)%ptype + ((projT1 args2) -> s2)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - v <- type.try_make_transport_cps s1 ℤ; - fv <- (x4 <- (if - ((let (x4, _) := xv in x4) =? 0) && + v <- type.try_make_transport_cps s2 ℤ; + fv <- (x5 <- (if + ((let (x5, _) := xv in x5) =? 0) && (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange + - ZRange.normalize args1)%zrange && + is_bounded_by_bool + (let (x5, _) := xv in x5) args3 then Some (#(Z_cast args)%expr @ - v (Compile.reflect x3))%expr_pat + v (Compile.reflect x4))%expr_pat else None); - Some (Base x4)); + Some (Base x5)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ ($_)%expr _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ ($_)%expr _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None - | (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + | (@expr.Ident _ _ _ t1 idc1 @ (@expr.Ident _ _ _ t2 idc2 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => None - | (@expr.Ident _ _ _ t0 idc0 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + | (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | _ => None end;; - args <- invert_bind_args idc Raw.ident.Literal; + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted (ℤ -> ℤ)%ptype ((projT1 args) -> ℤ)%ptype @@ -297,15 +370,23 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with ((projT1 args) -> ℤ)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x1 <- (if (let (x1, _) := xv in x1) =? 0 + fv <- (x2 <- (if + ((let (x2, _) := xv in x2) =? 0) && + is_bounded_by_bool (let (x2, _) := xv in x2) + (ZRange.normalize args0) then Some (- x0)%expr else None); - Some (Base x1)); + Some (Base x2)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; None);;; @@ -380,8 +461,9 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | Z_shiftl => fun x x0 : expr ℤ => (match x with - | @expr.Ident _ _ _ t idc => - args <- invert_bind_args idc Raw.ident.Literal; + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted (ℤ -> ℤ)%ptype ((projT1 args) -> ℤ)%ptype @@ -392,15 +474,22 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with ((projT1 args) -> ℤ)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x1 <- (if (let (x1, _) := xv in x1) =? 0 + fv <- (x2 <- (if + ((let (x2, _) := xv in x2) =? 0) && + is_bounded_by_bool (let (x2, _) := xv in x2) + (ZRange.normalize args0) then Some (##0)%expr else None); - Some (Base x1)); + Some (Base x2)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | _ => None end;;; Base (x << x0)%expr)%option @@ -411,269 +500,375 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with fun x x0 : expr ℤ => Base (#(Z_lnot_modulo)%expr @ x @ x0)%expr_pat | Z_mul_split => fun x x0 x1 : expr ℤ => - ((match x with - | @expr.Ident _ _ _ t idc => - match x0 with - | @expr.Ident _ _ _ t0 idc0 => - args <- invert_bind_args idc0 Raw.ident.Literal; - args0 <- invert_bind_args idc Raw.ident.Literal; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args0) -> (projT1 args)) -> ℤ)%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args0) -> (projT1 args)) -> ℤ)%ptype - then - _ <- ident.unify pattern.ident.Literal ##(projT2 args0); - xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x2 <- (if (let (x2, _) := xv0 in x2) =? 0 - then Some ((##0)%expr, (##0)%expr)%expr_pat - else None); - Some (Base x2)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end;; - match x1 with - | @expr.Ident _ _ _ t0 idc0 => - (args <- invert_bind_args idc0 Raw.ident.Literal; - args0 <- invert_bind_args idc Raw.ident.Literal; + (((match x0 with + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype + ((ℤ -> (projT1 args)) -> ℤ)%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype ((ℤ -> (projT1 args)) -> ℤ)%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x3 <- (if + ((let (x3, _) := xv in x3) =? 0) && + is_bounded_by_bool (let (x3, _) := xv in x3) + (ZRange.normalize args0) + then + Some + (#(Z_cast r[0 ~> 0])%expr @ (##0)%expr, + #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat + else None); + Some (Base x3)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x1 with + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t idc) x2 => + match x2 with + | @expr.Ident _ _ _ t0 idc0 => + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args0) -> ℤ) -> (projT1 args))%ptype + ((ℤ -> ℤ) -> (projT1 args))%ptype with | Some (_, _, _)%zrange => if type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args0) -> ℤ) -> (projT1 args))%ptype + ((ℤ -> ℤ) -> ℤ)%ptype ((ℤ -> ℤ) -> (projT1 args))%ptype then - _ <- ident.unify pattern.ident.Literal ##(projT2 args0); - xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x2 <- (if (let (x2, _) := xv0 in x2) =? 0 - then Some ((##0)%expr, (##0)%expr)%expr_pat + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x3 <- (if + ((let (x3, _) := xv in x3) =? 0) && + is_bounded_by_bool + (let (x3, _) := xv in x3) + (ZRange.normalize args0) + then + Some + (#(Z_cast r[0 ~> 0])%expr @ (##0)%expr, + #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat else None); - Some (Base x2)); + Some (Base x3)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None - end);; - match x0 with - | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t1 idc1) x2 => - args <- invert_bind_args idc1 Raw.ident.Z_cast; - args0 <- invert_bind_args idc0 Raw.ident.Literal; - args1 <- invert_bind_args idc Raw.ident.Literal; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s) -> (projT1 args0))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s) -> (projT1 args0))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - fv <- (x3 <- (if - ((let (x3, _) := xv0 in x3) =? 1) && - (ZRange.normalize args <=? - r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange - then - Some - (#(Z_cast args)%expr @ - v (Compile.reflect x2), (##0)%expr)%expr_pat - else None); - Some (Base x3)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t0 idc0) x2 => - match x0 with - | @expr.Ident _ _ _ t1 idc1 => - args <- invert_bind_args idc1 Raw.ident.Literal; - args0 <- invert_bind_args idc0 Raw.ident.Z_cast; - args1 <- invert_bind_args idc Raw.ident.Literal; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args)) -> s)%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args)) -> s)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - v <- type.try_make_transport_cps s ℤ; - fv <- (x3 <- (if - ((let (x3, _) := xv0 in x3) =? 1) && - (ZRange.normalize args0 <=? - r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange - then - Some - (#(Z_cast args0)%expr @ - v (Compile.reflect x2), (##0)%expr)%expr_pat - else None); - Some (Base x3)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ (_ @ _)%expr_pat - _ | @expr.App _ _ _ s _ (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; + end + | _ => None + end;; + match x with + | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => + match x0 with + | @expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t2 idc2) x4 => + match x4 with + | @expr.Ident _ _ _ t3 idc3 => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + args3 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args)) -> s)%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args)) -> s)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + v <- type.try_make_transport_cps s ℤ; + fv <- (x5 <- (if + ((let (x5, _) := xv0 in x5) =? 1) && + (ZRange.normalize args3 <=? + r[0 ~> (let (x5, _) := xv in x5) - + 1])%zrange && + is_bounded_by_bool + (let (x5, _) := xv in x5) + (ZRange.normalize args2) && + is_bounded_by_bool + (let (x5, _) := xv0 in x5) + (ZRange.normalize args0) + then + Some + (#(Z_cast args3)%expr @ + v (Compile.reflect x2), + #(Z_cast r[0 ~> 0])%expr @ + (##0)%expr)%expr_pat + else None); + Some (Base x5)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + match x2 with + | @expr.Ident _ _ _ t3 idc3 => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + args3 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s1) -> (projT1 args))%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s1) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + v <- type.try_make_transport_cps s1 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x5 <- (if + ((let (x5, _) := xv0 in x5) =? 1) && + (ZRange.normalize args0 <=? + r[0 ~> (let (x5, _) := xv in x5) - + 1])%zrange && + is_bounded_by_bool + (let (x5, _) := xv in x5) + (ZRange.normalize args2) && + is_bounded_by_bool + (let (x5, _) := xv0 in x5) + (ZRange.normalize args3) + then + Some + (#(Z_cast args0)%expr @ + v (Compile.reflect x4), + #(Z_cast r[0 ~> 0])%expr @ + (##0)%expr)%expr_pat + else None); + Some (Base x5)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end + | @expr.App _ _ _ s1 _ ($_)%expr _ | @expr.App _ _ _ s1 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s1 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s1 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ (_ @ _)%expr_pat _ | + @expr.App _ _ _ s _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end);; None);;; Base (#(Z_mul_split)%expr @ x @ x0 @ x1)%expr_pat)%option | Z_add_get_carry => fun x x0 x1 : expr ℤ => ((match x with - | @expr.Ident _ _ _ t idc => + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => match x0 with - | @expr.Ident _ _ _ t0 idc0 => - match x1 with - | @expr.Ident _ _ _ t1 idc1 => - args <- invert_bind_args idc1 Raw.ident.Literal; - args0 <- invert_bind_args idc0 Raw.ident.Literal; - args1 <- invert_bind_args idc Raw.ident.Literal; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> (projT1 args))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - Some - (Base - (let - '(a1, b1)%zrange := - Z.add_get_carry_full (let (x2, _) := xv in x2) - (let (x2, _) := xv0 in x2) - (let (x2, _) := xv1 in x2) in - ((##a1)%expr, (##b1)%expr)%expr_pat)) - else None - | None => None - end - | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t1 idc1) x2 => - args <- invert_bind_args idc1 Raw.ident.Z_cast; - args0 <- invert_bind_args idc0 Raw.ident.Literal; - args1 <- invert_bind_args idc Raw.ident.Literal; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> s)%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> s)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s ℤ; - fv <- (x3 <- (if - ((let (x3, _) := xv0 in x3) =? 0) && - (ZRange.normalize args <=? - r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange - then - Some - (#(Z_cast args)%expr @ - v (Compile.reflect x2), (##0)%expr)%expr_pat - else None); - Some (Base x3)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None + | @expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t1 idc1) x3 => + match x3 with + | @expr.Ident _ _ _ t2 idc2 => + match x1 with + | @expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t3 idc3) x4 => + match x4 with + | @expr.Ident _ _ _ t4 idc4 => + args <- invert_bind_args idc4 Raw.ident.Literal; + args0 <- invert_bind_args idc3 Raw.ident.Z_cast; + args1 <- invert_bind_args idc2 Raw.ident.Literal; + args2 <- invert_bind_args idc1 Raw.ident.Z_cast; + args3 <- invert_bind_args idc0 Raw.ident.Literal; + args4 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args3) -> (projT1 args1)) -> + (projT1 args))%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args3) -> (projT1 args1)) -> + (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args3); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x5 <- (if + is_bounded_by_bool + (let (x5, _) := xv in x5) + (ZRange.normalize args4) && + is_bounded_by_bool + (let (x5, _) := xv0 in x5) + (ZRange.normalize args2) && + is_bounded_by_bool + (let (x5, _) := xv1 in x5) + (ZRange.normalize args0) + then + Some + (let + '(a1, b1)%zrange := + Z.add_get_carry_full + (let (x5, _) := xv in x5) + (let (x5, _) := xv0 in x5) + (let (x5, _) := xv1 in x5) + in + ((##a1)%expr, (##b1)%expr)%expr_pat) + else None); + Some (Base x5)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + args <- invert_bind_args idc3 Raw.ident.Z_cast; + args0 <- invert_bind_args idc2 Raw.ident.Literal; + args1 <- invert_bind_args idc1 Raw.ident.Z_cast; + args2 <- invert_bind_args idc0 Raw.ident.Literal; + args3 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args2) -> (projT1 args0)) -> s1)%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args2) -> (projT1 args0)) -> s1)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + v <- type.try_make_transport_cps s1 ℤ; + fv <- (x5 <- (if + ((let (x5, _) := xv0 in x5) =? 0) && + (ZRange.normalize args <=? + r[0 ~> (let (x5, _) := xv in x5) - + 1])%zrange && + is_bounded_by_bool + (let (x5, _) := xv0 in x5) + (ZRange.normalize args1) && + is_bounded_by_bool + (let (x5, _) := xv in x5) + (ZRange.normalize args3) + then + Some + (#(Z_cast args)%expr @ + v (Compile.reflect x4), + #(Z_cast r[0 ~> 0])%expr @ + (##0)%expr)%expr_pat + else None); + Some (Base x5)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s1 _ ($_)%expr _ | @expr.App _ _ _ s1 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s1 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s1 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None end - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None - end - | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t0 idc0) x2 => + end;; match x1 with - | @expr.Ident _ _ _ t1 idc1 => - args <- invert_bind_args idc1 Raw.ident.Literal; - args0 <- invert_bind_args idc0 Raw.ident.Z_cast; - args1 <- invert_bind_args idc Raw.ident.Literal; + | (@expr.Ident _ _ _ t2 idc2 @ @expr.Ident _ _ _ t3 idc3)%expr_pat => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + args1 <- invert_bind_args idc1 Raw.ident.Z_cast; + args2 <- invert_bind_args idc0 Raw.ident.Literal; + args3 <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s) -> (projT1 args))%ptype + (((projT1 args2) -> s0) -> (projT1 args))%ptype with | Some (_, _, _)%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s) -> (projT1 args))%ptype + (((projT1 args2) -> s0) -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s ℤ; + ##(projT2 args2); + v <- type.try_make_transport_cps s0 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x3 <- (if - ((let (x3, _) := xv0 in x3) =? 0) && - (ZRange.normalize args0 <=? - r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange + fv <- (x5 <- (if + ((let (x5, _) := xv0 in x5) =? 0) && + (ZRange.normalize args1 <=? + r[0 ~> (let (x5, _) := xv in x5) - 1])%zrange && + is_bounded_by_bool + (let (x5, _) := xv0 in x5) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x5, _) := xv in x5) + (ZRange.normalize args3) then Some - (#(Z_cast args0)%expr @ - v (Compile.reflect x2), (##0)%expr)%expr_pat + (#(Z_cast args1)%expr @ + v (Compile.reflect x3), + #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat else None); - Some (Base x3)); + Some (Base x5)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ (_ @ _)%expr_pat - _ | @expr.App _ _ _ s _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | @expr.App _ _ _ s0 _ ($_)%expr _ | @expr.App _ _ _ s0 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s0 _ (_ @ _)%expr_pat + _ | @expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; None);;; @@ -681,8 +876,9 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | Z_add_with_carry => fun x x0 x1 : expr ℤ => (match x with - | @expr.Ident _ _ _ t idc => - args <- invert_bind_args idc Raw.ident.Literal; + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype (((projT1 args) -> ℤ) -> ℤ)%ptype @@ -693,170 +889,249 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with ((ℤ -> ℤ) -> ℤ)%ptype (((projT1 args) -> ℤ) -> ℤ)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x2 <- (if (let (x2, _) := xv in x2) =? 0 + fv <- (x3 <- (if + ((let (x3, _) := xv in x3) =? 0) && + is_bounded_by_bool (let (x3, _) := xv in x3) + (ZRange.normalize args0) then Some (x0 + x1)%expr else None); - Some (Base x2)); + Some (Base x3)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | _ => None end;;; Base (#(Z_add_with_carry)%expr @ x @ x0 @ x1)%expr_pat)%option | Z_add_with_get_carry => fun x x0 x1 x2 : expr ℤ => (match x with - | @expr.Ident _ _ _ t idc => + | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => match x0 with - | @expr.Ident _ _ _ t0 idc0 => + | (@expr.Ident _ _ _ t1 idc1 @ @expr.Ident _ _ _ t2 idc2)%expr_pat => match x1 with - | @expr.Ident _ _ _ t1 idc1 => - match x2 with - | @expr.Ident _ _ _ t2 idc2 => - args <- invert_bind_args idc2 Raw.ident.Literal; - args0 <- invert_bind_args idc1 Raw.ident.Literal; - args1 <- invert_bind_args idc0 Raw.ident.Literal; - args2 <- invert_bind_args idc Raw.ident.Literal; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify pattern.ident.Literal - ##(projT2 args); - Some - (Base - (let - '(a2, b2)%zrange := - Z.add_with_get_carry_full - (let (x3, _) := xv in x3) - (let (x3, _) := xv0 in x3) - (let (x3, _) := xv1 in x3) - (let (x3, _) := xv2 in x3) in - ((##a2)%expr, (##b2)%expr)%expr_pat)) - else None - | None => None - end - | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t2 idc2) x3 => - args <- invert_bind_args idc2 Raw.ident.Z_cast; - args0 <- invert_bind_args idc1 Raw.ident.Literal; - args1 <- invert_bind_args idc0 Raw.ident.Literal; - args2 <- invert_bind_args idc Raw.ident.Literal; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> s)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> s)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s ℤ; - fv <- (x4 <- (if - ((let (x4, _) := xv0 in x4) =? 0) && - ((let (x4, _) := xv1 in x4) =? 0) && - (ZRange.normalize args <=? - r[0 ~> (let (x4, _) := xv in x4) - - 1])%zrange - then - Some - (#(Z_cast args)%expr @ - v (Compile.reflect x3), - (##0)%expr)%expr_pat - else None); - Some (Base x4)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None + | @expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t3 idc3) x5 => + match x5 with + | @expr.Ident _ _ _ t4 idc4 => + match x2 with + | @expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t5 idc5) x6 => + match x6 with + | @expr.Ident _ _ _ t6 idc6 => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Literal; + args4 <- invert_bind_args idc1 Raw.ident.Z_cast; + args5 <- invert_bind_args idc0 Raw.ident.Literal; + args6 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args5) -> (projT1 args3)) -> + (projT1 args1)) -> (projT1 args))%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args5) -> (projT1 args3)) -> + (projT1 args1)) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args5); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args3); + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv2 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x7 <- (if + is_bounded_by_bool + (let (x7, _) := xv in x7) + (ZRange.normalize args6) && + is_bounded_by_bool + (let (x7, _) := xv0 in x7) + (ZRange.normalize args4) && + is_bounded_by_bool + (let (x7, _) := xv1 in x7) + (ZRange.normalize args2) && + is_bounded_by_bool + (let (x7, _) := xv2 in x7) + (ZRange.normalize args0) + then + Some + (let + '(a2, b2)%zrange := + Z.add_with_get_carry_full + (let (x7, _) := xv in + x7) + (let (x7, _) := xv0 in + x7) + (let (x7, _) := xv1 in + x7) + (let (x7, _) := xv2 in + x7) in + ((##a2)%expr, + (##b2)%expr)%expr_pat) + else None); + Some (Base x7)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + args <- invert_bind_args idc5 Raw.ident.Z_cast; + args0 <- invert_bind_args idc4 Raw.ident.Literal; + args1 <- invert_bind_args idc3 Raw.ident.Z_cast; + args2 <- invert_bind_args idc2 Raw.ident.Literal; + args3 <- invert_bind_args idc1 Raw.ident.Z_cast; + args4 <- invert_bind_args idc0 Raw.ident.Literal; + args5 <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args4) -> (projT1 args2)) -> + (projT1 args0)) -> s2)%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args4) -> (projT1 args2)) -> + (projT1 args0)) -> s2)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args2); + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + v <- type.try_make_transport_cps s2 ℤ; + fv <- (x7 <- (if + ((let (x7, _) := xv0 in x7) =? 0) && + ((let (x7, _) := xv1 in x7) =? 0) && + (ZRange.normalize args <=? + r[0 ~> (let (x7, _) := xv in x7) - + 1])%zrange && + is_bounded_by_bool + (let (x7, _) := xv in x7) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x7, _) := xv0 in x7) + (ZRange.normalize args3) && + is_bounded_by_bool + (let (x7, _) := xv1 in x7) + (ZRange.normalize args1) + then + Some + (#(Z_cast args)%expr @ + v (Compile.reflect x6), + #(Z_cast r[0 ~> 0])%expr @ + (##0)%expr)%expr_pat + else None); + Some (Base x7)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s2 _ ($_)%expr _ | @expr.App _ _ _ s2 + _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s2 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s2 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None end - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None - end - | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t1 idc1) x3 => + end;; match x2 with - | @expr.Ident _ _ _ t2 idc2 => - args <- invert_bind_args idc2 Raw.ident.Literal; - args0 <- invert_bind_args idc1 Raw.ident.Z_cast; - args1 <- invert_bind_args idc0 Raw.ident.Literal; - args2 <- invert_bind_args idc Raw.ident.Literal; + | (@expr.Ident _ _ _ t4 idc4 @ @expr.Ident _ _ _ t5 idc5)%expr_pat => + args <- invert_bind_args idc5 Raw.ident.Literal; + args0 <- invert_bind_args idc4 Raw.ident.Z_cast; + args1 <- invert_bind_args idc3 Raw.ident.Z_cast; + args2 <- invert_bind_args idc2 Raw.ident.Literal; + args3 <- invert_bind_args idc1 Raw.ident.Z_cast; + args4 <- invert_bind_args idc0 Raw.ident.Literal; + args5 <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s) -> + ((((projT1 args4) -> (projT1 args2)) -> s1) -> (projT1 args))%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s) -> + ((((projT1 args4) -> (projT1 args2)) -> s1) -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); + ##(projT2 args4); xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s ℤ; + ##(projT2 args2); + v <- type.try_make_transport_cps s1 ℤ; xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x4 <- (if - ((let (x4, _) := xv0 in x4) =? 0) && - ((let (x4, _) := xv1 in x4) =? 0) && - (ZRange.normalize args0 <=? - r[0 ~> (let (x4, _) := xv in x4) - - 1])%zrange + fv <- (x7 <- (if + ((let (x7, _) := xv0 in x7) =? 0) && + ((let (x7, _) := xv1 in x7) =? 0) && + (ZRange.normalize args1 <=? + r[0 ~> (let (x7, _) := xv in x7) - + 1])%zrange && + is_bounded_by_bool + (let (x7, _) := xv in x7) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x7, _) := xv0 in x7) + (ZRange.normalize args3) && + is_bounded_by_bool + (let (x7, _) := xv1 in x7) + (ZRange.normalize args0) then Some - (#(Z_cast args0)%expr @ - v (Compile.reflect x3), + (#(Z_cast args1)%expr @ + v (Compile.reflect x5), + #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat else None); - Some (Base x4)); + Some (Base x7)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ + | @expr.App _ _ _ s1 _ ($_)%expr _ | @expr.App _ _ _ s1 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s1 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s1 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end + | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | _ => None end;;; Base (#(Z_add_with_get_carry)%expr @ x @ x0 @ x1 @ x2)%expr_pat)%option @@ -882,7 +1157,9 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with if type.type_beq base.type base.type.type_beq ℤ ℤ then fv <- (x0 <- (if lower range =? upper range - then Some (##(lower range))%expr + then + Some + (#(Z_cast range)%expr @ (##(lower range))%expr)%expr_pat else None); Some (Base x0)); Some (fv0 <-- fv; @@ -891,24 +1168,6 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | None => None end;; match x with - | @expr.Ident _ _ _ t idc => - args <- invert_bind_args idc Raw.ident.Literal; - match pattern.type.unify_extracted ℤ (projT1 args) with - | Some _ => - if type.type_beq base.type base.type.type_beq ℤ (projT1 args) - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x0 <- (if - is_bounded_by_bool (let (x0, _) := xv in x0) - range - then Some (##(let (x0, _) := xv in x0))%expr - else None); - Some (Base x0)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t idc) x0 => args <- invert_bind_args idc Raw.ident.Z_cast; match pattern.type.unify_extracted ℤ s with @@ -931,126 +1190,6 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | None => None end | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t1 idc1) x2) => - args <- invert_bind_args idc1 Raw.ident.Z_cast; - args0 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add; - match - pattern.type.unify_extracted (ℤ -> ℤ)%ptype - ((projT1 args0) -> s1)%ptype - with - | Some (_, _)%zrange => - if - type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype - ((projT1 args0) -> s1)%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args0); - v <- type.try_make_transport_cps s1 ℤ; - fv <- (x3 <- (if - ((let (x3, _) := xv in x3) =? 0) && - (ZRange.normalize args <=? - ZRange.normalize range)%zrange - then - Some - (#(Z_cast args)%expr @ - v (Compile.reflect x2))%expr_pat - else None); - Some (Base x3)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (@expr.App _ _ _ s1 _ ($_)%expr _) | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.App _ _ _ s1 _ (@expr.Abs _ _ _ _ _ _) _) | @expr.App _ _ _ s - _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.App _ _ _ s1 _ (_ @ _)%expr_pat _) | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.App _ _ _ s1 _ (@expr.LetIn _ _ _ _ _ _ _) _) => None - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) #(_)%expr_pat | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) ($_)%expr | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (@expr.Abs _ _ _ _ _ _) | @expr.App _ - _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (@expr.LetIn _ _ _ _ _ _ _) => None - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t0 idc0) x2)) - (@expr.Ident _ _ _ t1 idc1) => - args <- invert_bind_args idc1 Raw.ident.Literal; - args0 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_add; - match - pattern.type.unify_extracted (ℤ -> ℤ)%ptype - (s1 -> (projT1 args))%ptype - with - | Some (_, _)%zrange => - if - type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype - (s1 -> (projT1 args))%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x3 <- (if - ((let (x3, _) := xv in x3) =? 0) && - (ZRange.normalize args0 <=? - ZRange.normalize range)%zrange - then - Some - (#(Z_cast args0)%expr @ - v (Compile.reflect x2))%expr_pat - else None); - Some (Base x3)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t0 idc0) x2)) ($_)%expr | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t0 idc0) x2)) - (@expr.Abs _ _ _ _ _ _) | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t0 idc0) x2)) - (_ @ _)%expr_pat | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t0 idc0) x2)) - (@expr.LetIn _ _ _ _ _ _ _) => None - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ ($_)%expr _)) _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (@expr.Abs _ _ _ _ _ _) _)) _ | @expr.App _ _ - _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (_ @ _)%expr_pat _)) _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.App _ _ _ s1 _ (@expr.LetIn _ _ _ _ _ _ _) _)) _ => None - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) ($_)%expr) _ | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Abs _ _ _ _ _ _)) _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.LetIn _ _ _ _ _ _ _)) _ => None - | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t idc) x2) x1) x0 => _ <- invert_bind_args idc Raw.ident.Z_add_with_carry; @@ -1086,7 +1225,8 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ (@expr.LetIn _ _ _ _ _ _ _) _) _) _ => None - | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App + | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ #(_)%expr_pat _) _ | + @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => None @@ -1305,8 +1445,9 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | _ => None end;; match x1 with - | @expr.Ident _ _ _ t0 idc0 => - args <- invert_bind_args idc0 Raw.ident.Literal; + | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => + args <- invert_bind_args idc1 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype @@ -1320,7 +1461,10 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with v <- type.try_make_transport_cps s1 ℤ; xv <- ident.unify pattern.ident.Literal ##(projT2 args); v0 <- type.try_make_transport_cps s ℤ; - fv <- (if (let (x3, _) := xv in x3) <? 0 + fv <- (if + ((let (x4, _) := xv in x4) <? 0) && + is_bounded_by_bool (let (x4, _) := xv in x4) + (ZRange.normalize args0) then Some (UnderLet @@ -1330,7 +1474,8 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (#(Z_sub_get_borrow)%expr @ v (Compile.reflect x2) @ v0 (Compile.reflect x0) @ - (##(- (let (x3, _) := xv in x3))%Z)%expr))%expr_pat + (#(Z_cast (- args0))%expr @ + (##(- (let (x4, _) := xv in x4))%Z)%expr)))%expr_pat (fun vc : var (ℤ * ℤ)%etype => Base (#(Z_cast (Datatypes.fst range))%expr @ @@ -1352,11 +1497,17 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with else None | None => None end + | (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; match x0 with - | @expr.Ident _ _ _ t0 idc0 => - args <- invert_bind_args idc0 Raw.ident.Literal; + | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => + args <- invert_bind_args idc1 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype @@ -1371,7 +1522,10 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with v <- type.try_make_transport_cps s1 ℤ; v0 <- type.try_make_transport_cps s0 ℤ; xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (if (let (x3, _) := xv in x3) <? 0 + fv <- (if + ((let (x4, _) := xv in x4) <? 0) && + is_bounded_by_bool (let (x4, _) := xv in x4) + (ZRange.normalize args0) then Some (UnderLet @@ -1381,7 +1535,8 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (#(Z_sub_get_borrow)%expr @ v (Compile.reflect x2) @ v0 (Compile.reflect x1) @ - (##(- (let (x3, _) := xv in x3))%Z)%expr))%expr_pat + (#(Z_cast (- args0))%expr @ + (##(- (let (x4, _) := xv in x4))%Z)%expr)))%expr_pat (fun vc : var (ℤ * ℤ)%etype => Base (#(Z_cast (Datatypes.fst range))%expr @ @@ -1403,6 +1558,11 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with else None | None => None end + | (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; @@ -1491,472 +1651,541 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (@expr.App _ _ _ s1 _ (@expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t idc) x3) x2) x1) x0 => (match x2 with - | @expr.Ident _ _ _ t0 idc0 => - match x1 with - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ - (@expr.Ident _ _ _ t3 idc3) x6))%expr_pat => - (args <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_opp; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s5) -> s)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s5) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s5 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - fv <- (if - ((let (x7, _) := xv in x7) =? 0) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Some - (UnderLet - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_get_borrow)%expr @ - v (Compile.reflect x3) @ - v1 (Compile.reflect x0) @ - (#(Z_cast args)%expr @ - v0 (Compile.reflect x6))))%expr_pat - (fun vc : var (ℤ * ℤ)%etype => - Base - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - ($vc)%expr)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $vc)))%expr_pat)%expr)%expr_pat)) - else None); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end);; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_opp; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s5) -> s)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s5) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s5 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - fv <- (if - ((let (x7, _) := xv in x7) <? 0) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Some - (UnderLet - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - v (Compile.reflect x3) @ - (##(- (let (x7, _) := xv in x7))%Z)%expr @ - v1 (Compile.reflect x0) @ - (#(Z_cast args)%expr @ - v0 (Compile.reflect x6))))%expr_pat - (fun vc : var (ℤ * ℤ)%etype => - Base - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ + | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t0 idc0) x4 => + match x4 with + | @expr.Ident _ _ _ t1 idc1 => + match x1 with + | (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4) x7))%expr_pat => + (args <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_opp; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + args2 <- invert_bind_args idc1 Raw.ident.Literal; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s6) -> s)%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s6) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s6 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + fv <- (if + ((let (x8, _) := xv in x8) =? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args3) + then + Some + (UnderLet (#(Z_cast2 (Datatypes.fst range, - Datatypes.snd range))%expr @ - ($vc)%expr)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $vc)))%expr_pat)%expr)%expr_pat)) - else None); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ ($_)%expr - _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - None - | _ => None - end;; - match x0 with - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ - (@expr.Ident _ _ _ t3 idc3) x6))%expr_pat => - (args <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_opp; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x3) @ + v1 (Compile.reflect x0) @ + (#(Z_cast args)%expr @ + v0 (Compile.reflect x7))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast + (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end);; + args <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_opp; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + args2 <- invert_bind_args idc1 Raw.ident.Literal; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s5 ℤ; - fv <- (if - ((let (x7, _) := xv in x7) =? 0) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Some - (UnderLet - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_get_borrow)%expr @ - v (Compile.reflect x3) @ - v0 (Compile.reflect x1) @ - (#(Z_cast args)%expr @ - v1 (Compile.reflect x6))))%expr_pat - (fun vc : var (ℤ * ℤ)%etype => - Base - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - ($vc)%expr)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $vc)))%expr_pat)%expr)%expr_pat)) - else None); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end);; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_opp; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s5 ℤ; - fv <- (if - ((let (x7, _) := xv in x7) <? 0) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Some - (UnderLet - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - v (Compile.reflect x3) @ - (##(- (let (x7, _) := xv in x7))%Z)%expr @ - v0 (Compile.reflect x1) @ - (#(Z_cast args)%expr @ - v1 (Compile.reflect x6))))%expr_pat - (fun vc : var (ℤ * ℤ)%etype => - Base - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - ($vc)%expr)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $vc)))%expr_pat)%expr)%expr_pat)) - else None); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ ($_)%expr - _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - None - | _ => None - end;; - match x1 with - | @expr.Ident _ _ _ t1 idc1 => - args <- invert_bind_args idc1 Raw.ident.Literal; - args0 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args0)) -> (projT1 args)) -> s)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args0)) -> (projT1 args)) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - v0 <- type.try_make_transport_cps s ℤ; - fv <- (if - ((let (x4, _) := xv0 in x4) <=? 0) && - ((let (x4, _) := xv in x4) <=? 0) && - ((let (x4, _) := xv0 in x4) + - (let (x4, _) := xv in x4) <? 0) - then - Some - (UnderLet - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - v (Compile.reflect x3) @ - (##(- (let (x4, _) := xv in x4))%Z)%expr @ - v0 (Compile.reflect x0) @ - (##(- (let (x4, _) := xv0 in x4))%Z)%expr))%expr_pat - (fun vc : var (ℤ * ℤ)%etype => - Base - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ + (((s2 -> (projT1 args2)) -> s6) -> s)%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s6) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s6 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + fv <- (if + ((let (x8, _) := xv in x8) <? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args3) + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast (- args3))%expr @ + (##(- (let (x8, _) := xv in x8))%Z)%expr) @ + v1 (Compile.reflect x0) @ + (#(Z_cast args)%expr @ + v0 (Compile.reflect x7))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + ($_)%expr _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t2 idc2 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x0 with + | (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4) x7))%expr_pat => + (args <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_opp; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + args2 <- invert_bind_args idc1 Raw.ident.Literal; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s6 ℤ; + fv <- (if + ((let (x8, _) := xv in x8) =? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args3) + then + Some + (UnderLet (#(Z_cast2 (Datatypes.fst range, - Datatypes.snd range))%expr @ - ($vc)%expr)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $vc)))%expr_pat)%expr)%expr_pat)) - else None); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end;; - match x0 with - | @expr.Ident _ _ _ t1 idc1 => + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x3) @ + v0 (Compile.reflect x1) @ + (#(Z_cast args)%expr @ + v1 (Compile.reflect x7))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast + (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end);; + args <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_opp; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + args2 <- invert_bind_args idc1 Raw.ident.Literal; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s6 ℤ; + fv <- (if + ((let (x8, _) := xv in x8) <? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args3) + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast (- args3))%expr @ + (##(- (let (x8, _) := xv in x8))%Z)%expr) @ + v0 (Compile.reflect x1) @ + (#(Z_cast args)%expr @ + v1 (Compile.reflect x7))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + ($_)%expr _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t2 idc2 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x1 with + | (@expr.Ident _ _ _ t2 idc2 @ @expr.Ident _ _ _ t3 idc3)%expr_pat => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args1)) -> (projT1 args)) -> s)%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args1)) -> (projT1 args)) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + v0 <- type.try_make_transport_cps s ℤ; + fv <- (if + ((let (x6, _) := xv0 in x6) <=? 0) && + ((let (x6, _) := xv in x6) <=? 0) && + ((let (x6, _) := xv0 in x6) + + (let (x6, _) := xv in x6) <? 0) && + is_bounded_by_bool + (let (x6, _) := xv0 in x6) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x6, _) := xv in x6) + (ZRange.normalize args2) + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast (- args2))%expr @ + (##(- (let (x6, _) := xv in x6))%Z)%expr) @ + v0 (Compile.reflect x0) @ + (#(Z_cast (- args0))%expr @ + (##(- (let (x6, _) := xv0 in x6))%Z)%expr)))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x0 with + | (@expr.Ident _ _ _ t2 idc2 @ @expr.Ident _ _ _ t3 idc3)%expr_pat => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args1)) -> s0) -> (projT1 args))%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args1)) -> s0) -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + v0 <- type.try_make_transport_cps s0 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (if + ((let (x6, _) := xv0 in x6) <=? 0) && + ((let (x6, _) := xv in x6) <=? 0) && + ((let (x6, _) := xv0 in x6) + + (let (x6, _) := xv in x6) <? 0) && + is_bounded_by_bool + (let (x6, _) := xv0 in x6) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x6, _) := xv in x6) + (ZRange.normalize args2) + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast (- args2))%expr @ + (##(- (let (x6, _) := xv in x6))%Z)%expr) @ + v0 (Compile.reflect x1) @ + (#(Z_cast (- args0))%expr @ + (##(- (let (x6, _) := xv0 in x6))%Z)%expr)))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; args <- invert_bind_args idc1 Raw.ident.Literal; - args0 <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args0)) -> s0) -> (projT1 args))%ptype + (((s2 -> (projT1 args)) -> s0) -> s)%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args0)) -> s0) -> (projT1 args))%ptype + (((s2 -> (projT1 args)) -> s0) -> s)%ptype then v <- type.try_make_transport_cps s2 ℤ; xv <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args); v0 <- type.try_make_transport_cps s0 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); + v1 <- type.try_make_transport_cps s ℤ; fv <- (if - ((let (x4, _) := xv0 in x4) <=? 0) && - ((let (x4, _) := xv in x4) <=? 0) && - ((let (x4, _) := xv0 in x4) + - (let (x4, _) := xv in x4) <? 0) + ((let (x5, _) := xv in x5) =? 0) && + is_bounded_by_bool (let (x5, _) := xv in x5) + (ZRange.normalize args0) then Some (UnderLet - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ + (#(Z_cast2 range)%expr @ + (#(Z_add_get_carry)%expr @ v (Compile.reflect x3) @ - (##(- (let (x4, _) := xv in x4))%Z)%expr @ v0 (Compile.reflect x1) @ - (##(- (let (x4, _) := xv0 in x4))%Z)%expr))%expr_pat + v1 (Compile.reflect x0)))%expr_pat (fun vc : var (ℤ * ℤ)%etype => Base (#(Z_cast (Datatypes.fst range))%expr @ (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - ($vc)%expr)), + (#(Z_cast2 range)%expr @ ($vc)%expr)), #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $vc)))%expr_pat)%expr)%expr_pat)) + (#(snd)%expr @ + (#(Z_cast2 range)%expr @ ($vc)%expr)))%expr_pat)) else None); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | _ => None - end;; - args <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args)) -> s0) -> s)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args)) -> s0) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - fv <- (if (let (x4, _) := xv in x4) =? 0 - then - Some - (UnderLet - (#(Z_cast2 range)%expr @ - (#(Z_add_get_carry)%expr @ - v (Compile.reflect x3) @ - v0 (Compile.reflect x1) @ - v1 (Compile.reflect x0)))%expr_pat - (fun vc : var (ℤ * ℤ)%etype => - Base - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 range)%expr @ ($vc)%expr)), - #(Z_cast (Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 range)%expr @ ($vc)%expr)))%expr_pat)) - else None); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t0 idc0) x4 => - match x4 with | (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t2 idc2) x6)%expr_pat => match x1 with @@ -2160,11 +2389,12 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | _ => None end;; match x1 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + | (@expr.Ident _ _ _ t3 idc3 @ @expr.Ident _ _ _ t4 idc4)%expr_pat => + args <- invert_bind_args idc4 Raw.ident.Literal; + args0 <- invert_bind_args idc3 Raw.ident.Z_cast; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_opp; - args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match @@ -2184,9 +2414,12 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with ##(projT2 args); v1 <- type.try_make_transport_cps s ℤ; fv <- (if - ((let (x7, _) := xv in x7) <=? 0) && - (ZRange.normalize args0 <=? - - ZRange.normalize args2)%zrange + ((let (x8, _) := xv in x8) <=? 0) && + (ZRange.normalize args1 <=? + - ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args0) then Some (UnderLet @@ -2195,10 +2428,11 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with - Datatypes.snd range))%expr @ (#(Z_sub_with_get_borrow)%expr @ v (Compile.reflect x3) @ - (#(Z_cast args0)%expr @ + (#(Z_cast args1)%expr @ v0 (Compile.reflect x6)) @ v1 (Compile.reflect x0) @ - (##(- (let (x7, _) := xv in x7))%Z)%expr))%expr_pat + (#(Z_cast (- args0))%expr @ + (##(- (let (x8, _) := xv in x8))%Z)%expr)))%expr_pat (fun vc : var (ℤ * ℤ)%etype => Base (#(Z_cast (Datatypes.fst range))%expr @ @@ -2221,14 +2455,20 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with else None | None => None end + | (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; match x0 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + | (@expr.Ident _ _ _ t3 idc3 @ @expr.Ident _ _ _ t4 idc4)%expr_pat => + args <- invert_bind_args idc4 Raw.ident.Literal; + args0 <- invert_bind_args idc3 Raw.ident.Z_cast; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_opp; - args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match @@ -2248,9 +2488,12 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with xv <- ident.unify pattern.ident.Literal ##(projT2 args); fv <- (if - ((let (x7, _) := xv in x7) <=? 0) && - (ZRange.normalize args0 <=? - - ZRange.normalize args2)%zrange + ((let (x8, _) := xv in x8) <=? 0) && + (ZRange.normalize args1 <=? + - ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args0) then Some (UnderLet @@ -2259,10 +2502,11 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with - Datatypes.snd range))%expr @ (#(Z_sub_with_get_borrow)%expr @ v (Compile.reflect x3) @ - (#(Z_cast args0)%expr @ + (#(Z_cast args1)%expr @ v0 (Compile.reflect x6)) @ v1 (Compile.reflect x1) @ - (##(- (let (x7, _) := xv in x7))%Z)%expr))%expr_pat + (#(Z_cast (- args0))%expr @ + (##(- (let (x8, _) := xv in x8))%Z)%expr)))%expr_pat (fun vc : var (ℤ * ℤ)%etype => Base (#(Z_cast (Datatypes.fst range))%expr @ @@ -2285,6 +2529,11 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with else None | None => None end + | (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end | (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ ($_)%expr _)%expr_pat | @@ -2301,71 +2550,104 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | _ => None end;; match x3 with - | @expr.Ident _ _ _ t1 idc1 => + | (@expr.Ident _ _ _ t1 idc1 @ @expr.Ident _ _ _ t2 idc2)%expr_pat => match x1 with - | @expr.Ident _ _ _ t2 idc2 => + | (@expr.Ident _ _ _ t3 idc3 @ @expr.Ident _ _ _ t4 idc4)%expr_pat => match x0 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + | (@expr.Ident _ _ _ t5 idc5 @ @expr.Ident _ _ _ t6 + idc6)%expr_pat => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Literal; + args4 <- invert_bind_args idc1 Raw.ident.Z_cast; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args1) -> s3) -> (projT1 args0)) -> + ((((projT1 args3) -> s3) -> (projT1 args1)) -> (projT1 args))%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args1) -> s3) -> (projT1 args0)) -> + ((((projT1 args3) -> s3) -> (projT1 args1)) -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); + ##(projT2 args3); v <- type.try_make_transport_cps s3 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); fv <- (if - ((let (x5, _) := xv0 in x5) =? 0) && - ((let (x5, _) := xv1 in x5) =? 0) && - (ZRange.normalize args2 <=? - r[0 ~> (let (x5, _) := xv in x5) - 1])%zrange && + ((let (x8, _) := xv0 in x8) =? 0) && + ((let (x8, _) := xv1 in x8) =? 0) && + (ZRange.normalize args5 <=? + r[0 ~> (let (x8, _) := xv in x8) - 1])%zrange && is_bounded_by_bool 0 - (Datatypes.snd range) + (Datatypes.snd range) && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args4) && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args2) && + is_bounded_by_bool + (let (x8, _) := xv1 in x8) + (ZRange.normalize args0) then Some (UnderLet (#(Z_cast2 range)%expr @ (#(Z_add_with_get_carry)%expr @ - (##(let (x5, _) := xv in x5))%expr @ - (#(Z_cast args2)%expr @ + (#(Z_cast args4)%expr @ + (##(let (x8, _) := xv in x8))%expr) @ + (#(Z_cast args5)%expr @ v (Compile.reflect x4)) @ - (##(let (x5, _) := xv0 in x5))%expr @ - (##(let (x5, _) := xv1 in x5))%expr))%expr_pat + (#(Z_cast args2)%expr @ + (##(let (x8, _) := xv0 in x8))%expr) @ + (#(Z_cast args0)%expr @ + (##(let (x8, _) := xv1 in x8))%expr)))%expr_pat (fun vc : var (ℤ * ℤ)%etype => Base (#(Z_cast (Datatypes.fst range))%expr @ (#(fst)%expr @ (#(Z_cast2 range)%expr @ - ($vc)%expr)), (##0)%expr)%expr_pat)) + ($vc)%expr)), + #(Z_cast r[0 ~> 0])%expr @ + (##0)%expr)%expr_pat)) else None); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None | _ => None end + | (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end + | (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ diff --git a/src/fancy_with_casts_rewrite_head.out b/src/fancy_with_casts_rewrite_head.out index 551fd7e18..c5f1388d8 100644 --- a/src/fancy_with_casts_rewrite_head.out +++ b/src/fancy_with_casts_rewrite_head.out @@ -178,1232 +178,1890 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with ((match x with | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (@expr.Ident _ _ _ t2 idc2 @ x4 @ x3))%expr_pat => - match x4 with - | @expr.Ident _ _ _ t3 idc3 => - match x3 with - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t4 idc4) x5 => - (args <- invert_bind_args idc4 Raw.ident.Z_cast; - args0 <- invert_bind_args idc3 Raw.ident.Literal; - _ <- invert_bind_args idc2 Raw.ident.Z_land; - args2 <- invert_bind_args idc1 Raw.ident.Z_cast; - args3 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> (projT1 args0) -> s4)%ptype - with - | Some (_, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> (projT1 args0) -> s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s4 ℤ; - fv <- (x6 <- (if - ((let (x6, _) := xv0 in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv0 in x6) / 2) - - 1) && - (ZRange.normalize - (ZRange.constant - (let (x6, _) := xv0 in x6)) &' - ZRange.normalize args <=? - ZRange.normalize args2)%zrange - then - x6 <- invert_low - (2 * - Z.log2_up - (let (x6, _) := xv0 in x6)) - (let (x6, _) := xv in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let (x7, _) := xv0 in x7)))%expr @ - ((##x6)%expr, - #(Z_cast args)%expr @ - v (Compile.reflect x5))))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end);; - args <- invert_bind_args idc4 Raw.ident.Z_cast; - args0 <- invert_bind_args idc3 Raw.ident.Literal; - _ <- invert_bind_args idc2 Raw.ident.Z_land; - args2 <- invert_bind_args idc1 Raw.ident.Z_cast; - args3 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> (projT1 args0) -> s4)%ptype - with - | Some (_, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> (projT1 args0) -> s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s4 ℤ; - fv <- (x6 <- (if - ((let (x6, _) := xv0 in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv0 in x6) / 2) - - 1) && - (ZRange.normalize - (ZRange.constant - (let (x6, _) := xv0 in x6)) &' - ZRange.normalize args <=? - ZRange.normalize args2)%zrange - then - x6 <- invert_high - (2 * - Z.log2_up - (let (x6, _) := xv0 in x6)) - (let (x6, _) := xv in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mulhl - (2 * + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (@expr.Ident _ _ _ t3 idc3 @ x5 @ x4))%expr_pat => + match x5 with + | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t4 idc4) x6 => + match x4 with + | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t5 idc5) x7 => + match x7 with + | @expr.Ident _ _ _ t6 idc6 => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_land; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + args4 <- invert_bind_args idc1 Raw.ident.Literal; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype + with + | Some (_, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + v <- type.try_make_transport_cps s5 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x8 <- (if + ((let (x8, _) := xv0 in x8) =? + 2 + ^ (2 * + Z.log2_up + (let (x8, _) := xv0 in x8) / + 2) - 1) && + (ZRange.normalize args1 &' + ZRange.normalize + (ZRange.constant + (let (x8, _) := xv0 in x8)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) + then + x8 <- invert_low + (2 * + Z.log2_up + (let (x8, _) := xv0 in + x8)) + (let (x8, _) := xv in x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * + Z.log2_up + (let (x9, _) := xv0 in + x9)))%expr @ + ((##x8)%expr, + #(Z_cast args1)%expr @ + v (Compile.reflect x6))))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + match x6 with + | @expr.Ident _ _ _ t6 idc6 => + (args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_land; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + args4 <- invert_bind_args idc1 Raw.ident.Literal; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> (projT1 args) -> s6)%ptype + with + | Some (_, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> (projT1 args) -> s6)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + v <- type.try_make_transport_cps s6 ℤ; + fv <- (x8 <- (if + ((let (x8, _) := xv0 in x8) =? + 2 + ^ (2 * Z.log2_up - (let (x7, _) := xv0 in x7)))%expr @ - ((##x6)%expr, - #(Z_cast args)%expr @ - v (Compile.reflect x5))))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None + (let (x8, _) := xv0 in x8) / + 2) - 1) && + (ZRange.normalize + (ZRange.constant + (let (x8, _) := xv0 in x8)) &' + ZRange.normalize args0 <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args1) + then + x8 <- invert_low + (2 * + Z.log2_up + (let (x8, _) := xv0 in + x8)) + (let (x8, _) := xv in x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * + Z.log2_up + (let (x9, _) := xv0 in + x9)))%expr @ + ((##x8)%expr, + #(Z_cast args0)%expr @ + v (Compile.reflect x7))))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end);; + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_land; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + args4 <- invert_bind_args idc1 Raw.ident.Literal; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> (projT1 args) -> s6)%ptype + with + | Some (_, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> (projT1 args) -> s6)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + v <- type.try_make_transport_cps s6 ℤ; + fv <- (x8 <- (if + ((let (x8, _) := xv0 in x8) =? + 2 + ^ (2 * + Z.log2_up + (let (x8, _) := xv0 in x8) / + 2) - 1) && + (ZRange.normalize + (ZRange.constant + (let (x8, _) := xv0 in x8)) &' + ZRange.normalize args0 <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args1) + then + x8 <- invert_high + (2 * + Z.log2_up + (let (x8, _) := xv0 in + x8)) + (let (x8, _) := xv in x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mulhl + (2 * + Z.log2_up + (let (x9, _) := xv0 in + x9)))%expr @ + ((##x8)%expr, + #(Z_cast args0)%expr @ + v (Compile.reflect x7))))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + match x7 with + | @expr.Ident _ _ _ t6 idc6 => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_land; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + args4 <- invert_bind_args idc1 Raw.ident.Literal; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype + with + | Some (_, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + (ℤ -> ℤ -> ℤ)%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + v <- type.try_make_transport_cps s5 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x8 <- (if + ((let (x8, _) := xv0 in x8) =? + 2 + ^ (2 * + Z.log2_up + (let (x8, _) := xv0 in x8) / + 2) - 1) && + (ZRange.normalize args1 &' + ZRange.normalize + (ZRange.constant + (let (x8, _) := xv0 in x8)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) + then + x8 <- invert_high + (2 * + Z.log2_up + (let (x8, _) := xv0 in + x8)) + (let (x8, _) := xv in x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mulhl + (2 * + Z.log2_up + (let (x9, _) := xv0 in + x9)))%expr @ + ((##x8)%expr, + #(Z_cast args1)%expr @ + v (Compile.reflect x6))))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ + | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ _ s6 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s6 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) x5 => - match x3 with - | @expr.Ident _ _ _ t4 idc4 => - (args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_land; - args2 <- invert_bind_args idc1 Raw.ident.Z_cast; - args3 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype - with - | Some (_, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (if - ((let (x6, _) := xv0 in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv0 in x6) / 2) - - 1) && - (ZRange.normalize args0 &' - ZRange.normalize - (ZRange.constant - (let (x6, _) := xv0 in x6)) <=? - ZRange.normalize args2)%zrange - then - x6 <- invert_low - (2 * - Z.log2_up - (let (x6, _) := xv0 in x6)) - (let (x6, _) := xv in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let (x7, _) := xv0 in x7)))%expr @ - ((##x6)%expr, - #(Z_cast args0)%expr @ - v (Compile.reflect x5))))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end);; - args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_land; - args2 <- invert_bind_args idc1 Raw.ident.Z_cast; - args3 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype - with - | Some (_, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (if - ((let (x6, _) := xv0 in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv0 in x6) / 2) - - 1) && - (ZRange.normalize args0 &' - ZRange.normalize - (ZRange.constant - (let (x6, _) := xv0 in x6)) <=? - ZRange.normalize args2)%zrange - then - x6 <- invert_high - (2 * - Z.log2_up - (let (x6, _) := xv0 in x6)) - (let (x6, _) := xv in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mulhl - (2 * - Z.log2_up - (let (x7, _) := xv0 in x7)))%expr @ - ((##x6)%expr, - #(Z_cast args0)%expr @ - v (Compile.reflect x5))))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ (_ @ _)%expr_pat - _ | @expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ (_ @ _)%expr_pat + _ | @expr.App _ _ _ s5 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end;; - match x4 with - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) x5 => - match x3 with - | @expr.Ident _ _ _ t4 idc4 => - (args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc1 Raw.ident.Z_cast; - args3 <- invert_bind_args idc0 Raw.ident.Literal; + match x5 with + | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t4 idc4) x6 => + match x4 with + | (@expr.Ident _ _ _ t5 idc5 @ @expr.Ident _ _ _ t6 idc6)%expr_pat => + (args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + args4 <- invert_bind_args idc1 Raw.ident.Literal; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_mul; match pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype with | Some (_, (_, _))%zrange => if type.type_beq base.type base.type.type_beq (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s4 ℤ; + ##(projT2 args4); + v <- type.try_make_transport_cps s5 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x6 <- (if - (ZRange.normalize args0 >> + fv <- (x8 <- (if + (ZRange.normalize args1 >> ZRange.normalize (ZRange.constant - (let (x6, _) := xv0 in x6)) <=? - ZRange.normalize args2)%zrange + (let (x8, _) := xv0 in x8)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) then - x6 <- invert_low + x8 <- invert_low (2 * - (let (x6, _) := xv0 in x6)) - (let (x6, _) := xv in x6); + (let (x8, _) := xv0 in x8)) + (let (x8, _) := xv in x8); Some (#(Z_cast range)%expr @ (#(fancy_mullh (2 * - (let (x7, _) := xv0 in x7)))%expr @ - ((##x6)%expr, - #(Z_cast args0)%expr @ - v (Compile.reflect x5))))%expr_pat + (let (x9, _) := xv0 in x9)))%expr @ + ((##x8)%expr, + #(Z_cast args1)%expr @ + v (Compile.reflect x6))))%expr_pat else None); - Some (Base x6)); + Some (Base x8)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end);; - args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc1 Raw.ident.Z_cast; - args3 <- invert_bind_args idc0 Raw.ident.Literal; + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + _ <- invert_bind_args idc3 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + args4 <- invert_bind_args idc1 Raw.ident.Literal; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_mul; match pattern.type.unify_extracted (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype with | Some (_, (_, _))%zrange => if type.type_beq base.type base.type.type_beq (ℤ -> ℤ -> ℤ)%ptype - ((projT1 args3) -> s4 -> (projT1 args))%ptype + ((projT1 args4) -> s5 -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s4 ℤ; + ##(projT2 args4); + v <- type.try_make_transport_cps s5 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x6 <- (if - (ZRange.normalize args0 >> + fv <- (x8 <- (if + (ZRange.normalize args1 >> ZRange.normalize (ZRange.constant - (let (x6, _) := xv0 in x6)) <=? - ZRange.normalize args2)%zrange + (let (x8, _) := xv0 in x8)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) then - x6 <- invert_high - (2 * (let (x6, _) := xv0 in x6)) - (let (x6, _) := xv in x6); + x8 <- invert_high + (2 * (let (x8, _) := xv0 in x8)) + (let (x8, _) := xv in x8); Some (#(Z_cast range)%expr @ (#(fancy_mulhh - (2 * (let (x7, _) := xv0 in x7)))%expr @ - ((##x6)%expr, - #(Z_cast args0)%expr @ - v (Compile.reflect x5))))%expr_pat + (2 * (let (x9, _) := xv0 in x9)))%expr @ + ((##x8)%expr, + #(Z_cast args1)%expr @ + v (Compile.reflect x6))))%expr_pat else None); - Some (Base x6)); + Some (Base x8)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ (_ @ _)%expr_pat - _ | @expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ (_ @ _)%expr_pat + _ | @expr.App _ _ _ s5 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ #(_))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | @expr.App _ _ _ s + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (#(_) @ _))%expr_pat | @expr.App _ _ _ s + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (#(_) @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (($_)%expr @ _))%expr_pat | @expr.App _ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (($_)%expr @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (($_)%expr @ _ @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (_ @ _ @ _ @ _))%expr_pat | @expr.App _ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (_ @ _ @ _ @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + #(_)%expr_pat | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + ($_)%expr | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Abs _ _ _ _ _ _) | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (($_)%expr @ _)%expr_pat | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.Abs _ _ _ _ _ _ @ _)%expr_pat | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (_ @ _ @ _)%expr_pat | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat) + (@expr.LetIn _ _ _ _ _ _ _) => None + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ x4 @ x3))%expr_pat) x0 => match x4 with - | @expr.Ident _ _ _ t2 idc2 => - match x3 with - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) x5 => - match x0 with - | @expr.Ident _ _ _ t4 idc4 => - (args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Z_cast; - args1 <- invert_bind_args idc2 Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s4) -> (projT1 args))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq + | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5 => + match x5 with + | @expr.Ident _ _ _ t3 idc3 => + match x3 with + | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t4 idc4) x6 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ @expr.Ident _ _ _ t6 + idc6)%expr_pat => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + args2 <- invert_bind_args idc3 Raw.ident.Literal; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s4) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (if - ((let (x6, _) := xv in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv in x6) / - 2) - 1) && - (ZRange.normalize - (ZRange.constant - (let (x6, _) := xv in x6)) &' - ZRange.normalize args0 <=? - ZRange.normalize args3)%zrange - then - y <- invert_low - (2 * - Z.log2_up - (let (x6, _) := xv in x6)) - (let (x6, _) := xv0 in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let (x6, _) := xv in - x6)))%expr @ - (#(Z_cast args0)%expr @ - v (Compile.reflect x5), - (##y)%expr)))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end);; - args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Z_cast; - args1 <- invert_bind_args idc2 Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s4) -> (projT1 args))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s4) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (if - ((let (x6, _) := xv in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv in x6) / 2) - - 1) && - (ZRange.normalize - (ZRange.constant - (let (x6, _) := xv in x6)) &' - ZRange.normalize args0 <=? - ZRange.normalize args3)%zrange - then - y <- invert_high - (2 * + (((projT1 args2) -> s5) -> (projT1 args))%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args2) -> s5) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v <- type.try_make_transport_cps s5 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x8 <- (if + ((let (x8, _) := xv in x8) =? + 2 + ^ (2 * Z.log2_up - (let (x6, _) := xv in x6)) - (let (x6, _) := xv0 in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mullh - (2 * - Z.log2_up - (let (x6, _) := xv in x6)))%expr @ - (#(Z_cast args0)%expr @ - v (Compile.reflect x5), - (##y)%expr)))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ x8 @ x7))%expr_pat => - match x8 with - | @expr.Ident _ _ _ t6 idc6 => - match x7 with - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t7 idc7) - x9 => - args <- invert_bind_args idc7 Raw.ident.Z_cast; - args0 <- invert_bind_args idc6 - Raw.ident.Literal; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 Raw.ident.Z_cast; - args4 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s4) -> - (projT1 args0) -> s8)%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s4) -> - (projT1 args0) -> s8)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s8 ℤ; - fv <- (x10 <- (if - ((let (x10, _) := xv in - x10) =? - 2 - ^ (2 * + (let (x8, _) := xv in x8) / + 2) - 1) && + (ZRange.normalize + (ZRange.constant + (let (x8, _) := xv in x8)) &' + ZRange.normalize args1 <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args3) + then + y <- invert_low + (2 * + Z.log2_up + (let (x8, _) := xv in + x8)) + (let (x8, _) := xv0 in + x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * Z.log2_up - (let (x10, _) := + (let (x8, _) := xv in - x10) / 2) - 1) && - ((let (x10, _) := xv0 in - x10) =? - 2 - ^ (2 * + x8)))%expr @ + (#(Z_cast args1)%expr @ + v (Compile.reflect x6), + (##y)%expr)))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None + | _ => None + end + | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | _ => None + end;; + match x3 with + | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6 => + match x6 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ @expr.Ident _ _ _ t6 + idc6)%expr_pat => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ)%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s4 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x8 <- (if + ((let (x8, _) := xv in x8) =? + 2 + ^ (2 * + Z.log2_up + (let (x8, _) := xv in x8) / + 2) - 1) && + (ZRange.normalize args3 &' + ZRange.normalize + (ZRange.constant + (let (x8, _) := xv in x8)) <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args2) + then + y <- invert_low + (2 * + Z.log2_up + (let (x8, _) := xv in + x8)) + (let (x8, _) := xv0 in + x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * Z.log2_up - (let (x10, _) := + (let (x8, _) := xv in - x10) / 2) - 1) && - (ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv in - x10)) &' - ZRange.normalize args3 <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv0 in - x10)) &' - ZRange.normalize args <=? - ZRange.normalize args2)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let - (x10, _) := - xv in - x10)))%expr @ - (#(Z_cast args3)%expr @ - v - (Compile.reflect x5), - #(Z_cast args)%expr @ - v0 - (Compile.reflect x9))))%expr_pat - else None); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ - _ s8 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s8 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None + x8)))%expr @ + (#(Z_cast args3)%expr @ + v (Compile.reflect x5), + (##y)%expr)))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None end - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) - x9 => - match x7 with - | @expr.Ident _ _ _ t7 idc7 => - args <- invert_bind_args idc7 Raw.ident.Literal; - args0 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 Raw.ident.Z_cast; - args4 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s4) -> - s8 -> (projT1 args))%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s4) -> - s8 -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s4 ℤ; - v0 <- type.try_make_transport_cps s8 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x10 <- (if - ((let (x10, _) := xv in - x10) =? - 2 - ^ (2 * + | (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None + | _ => None + end + | _ => None + end;; + match x5 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ @expr.Ident _ _ _ t6 + idc6)%expr_pat => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s5) -> (projT1 args))%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s5) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + v <- type.try_make_transport_cps s5 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x8 <- (if + ((let (x8, _) := xv in x8) =? + 2 + ^ (2 * + Z.log2_up + (let (x8, _) := xv in x8) / + 2) - 1) && + (ZRange.normalize + (ZRange.constant + (let (x8, _) := xv in x8)) &' + ZRange.normalize args2 <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args3) + then + y <- invert_high + (2 * + Z.log2_up + (let (x8, _) := xv in + x8)) + (let (x8, _) := xv0 in + x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mullh + (2 * Z.log2_up - (let (x10, _) := + (let (x8, _) := xv in - x10) / 2) - 1) && - ((let (x10, _) := xv0 in - x10) =? - 2 - ^ (2 * + x8)))%expr @ + (#(Z_cast args2)%expr @ + v (Compile.reflect x6), + (##y)%expr)))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None + | _ => None + end + | _ => None + end;; + match x6 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ @expr.Ident _ _ _ t6 + idc6)%expr_pat => + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ)%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s4 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x8 <- (if + ((let (x8, _) := xv in x8) =? + 2 + ^ (2 * + Z.log2_up + (let (x8, _) := xv in x8) / + 2) - 1) && + (ZRange.normalize args3 &' + ZRange.normalize + (ZRange.constant + (let (x8, _) := xv in x8)) <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args2) + then + y <- invert_high + (2 * + Z.log2_up + (let (x8, _) := xv in + x8)) + (let (x8, _) := xv0 in + x8); + Some + (#(Z_cast range)%expr @ + (#(fancy_mullh + (2 * Z.log2_up - (let (x10, _) := - xv in - x10) / 2) - 1) && - (ZRange.normalize - (ZRange.constant - (let (x10, _) := + (let (x8, _) := xv in - x10)) &' - ZRange.normalize args3 <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize args0 &' - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv0 in - x10)) <=? - ZRange.normalize args2)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let - (x10, _) := - xv in - x10)))%expr @ - (#(Z_cast args3)%expr @ - v - (Compile.reflect x5), - #(Z_cast args0)%expr @ - v0 - (Compile.reflect x9))))%expr_pat - else None); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None + x8)))%expr @ + (#(Z_cast args3)%expr @ + v (Compile.reflect x5), + (##y)%expr)))%expr_pat + else None); + Some (Base x8)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s8 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None + | (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None | _ => None - end;; - match x8 with - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) - x9 => - match x7 with - | @expr.Ident _ _ _ t7 idc7 => - args <- invert_bind_args idc7 Raw.ident.Literal; - args0 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 Raw.ident.Z_cast; - args4 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s4) -> - s8 -> (projT1 args))%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s4) -> - s8 -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s4 ℤ; - v0 <- type.try_make_transport_cps s8 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x10 <- (if - ((let (x10, _) := xv in - x10) =? - 2 - ^ (2 * - (let (x10, _) := - xv0 in - x10) / 2) - 1) && - (ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv in - x10)) &' - ZRange.normalize args3 <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize args0 >> - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv0 in - x10)) <=? - ZRange.normalize args2)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_mullh - (2 * - (let (x10, _) := - xv0 in - x10)))%expr @ - (#(Z_cast args3)%expr @ - v - (Compile.reflect x5), - #(Z_cast args0)%expr @ - v0 - (Compile.reflect x9))))%expr_pat - else None); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None + end + | _ => None + end;; + match x5 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t9 idc9) x11))%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Z_cast; + args0 <- invert_bind_args idc8 Raw.ident.Literal; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + (((projT1 args4) -> s5) -> + (projT1 args0) -> s10)%ptype + with + | Some (_, _, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + (((projT1 args4) -> s5) -> + (projT1 args0) -> s10)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + v <- type.try_make_transport_cps s5 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + v0 <- type.try_make_transport_cps s10 ℤ; + fv <- (x12 <- (if + ((let (x12, _) := xv in x12) =? + 2 + ^ (2 * + Z.log2_up + (let (x12, _) := xv in + x12) / 2) - 1) && + ((let (x12, _) := xv0 in x12) =? + 2 + ^ (2 * + Z.log2_up + (let (x12, _) := xv in + x12) / 2) - 1) && + (ZRange.normalize + (ZRange.constant + (let (x12, _) := xv in + x12)) &' + ZRange.normalize args5 <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize + (ZRange.constant + (let (x12, _) := xv0 in + x12)) &' + ZRange.normalize args <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv in x12) + (ZRange.normalize args6) && + is_bounded_by_bool + (let (x12, _) := xv0 in x12) + (ZRange.normalize args1) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * + Z.log2_up + (let (x12, _) := + xv in + x12)))%expr @ + (#(Z_cast args5)%expr @ + v (Compile.reflect x6), + #(Z_cast args)%expr @ + v0 (Compile.reflect x11))))%expr_pat + else None); + Some (Base x12)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s8 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ ($_)%expr _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ _ _ _ _ _) @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ (_ @ _)) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn _ _ _ _ _ + _ _) @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Abs _ _ _ _ _ _ @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _ @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _ @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None | _ => None end - | (@expr.Ident _ _ _ t4 idc4 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - None | _ => None - end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5 => - match x3 with - | @expr.Ident _ _ _ t3 idc3 => - match x0 with + end;; + match x6 with | @expr.Ident _ _ _ t4 idc4 => - (args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Literal; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype - then - v <- type.try_make_transport_cps s4 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (if - ((let (x6, _) := xv in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv in x6) / - 2) - 1) && - (ZRange.normalize args1 &' - ZRange.normalize - (ZRange.constant - (let (x6, _) := xv in x6)) <=? - ZRange.normalize args3)%zrange - then - y <- invert_low - (2 * + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t9 idc9) x11))%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Z_cast; + args0 <- invert_bind_args idc8 Raw.ident.Literal; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> + (projT1 args0) -> s10)%ptype + with + | Some (_, _, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> + (projT1 args0) -> s10)%ptype + then + v <- type.try_make_transport_cps s4 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + v0 <- type.try_make_transport_cps s10 ℤ; + fv <- (x12 <- (if + ((let (x12, _) := xv in x12) =? + 2 + ^ (2 * Z.log2_up - (let (x6, _) := xv in x6)) - (let (x6, _) := xv0 in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let (x6, _) := xv in - x6)))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x5), - (##y)%expr)))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end);; - args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Literal; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype - then - v <- type.try_make_transport_cps s4 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (if - ((let (x6, _) := xv in x6) =? - 2 - ^ (2 * - Z.log2_up - (let (x6, _) := xv in x6) / 2) - - 1) && - (ZRange.normalize args1 &' - ZRange.normalize - (ZRange.constant - (let (x6, _) := xv in x6)) <=? - ZRange.normalize args3)%zrange - then - y <- invert_high - (2 * - Z.log2_up - (let (x6, _) := xv in x6)) - (let (x6, _) := xv0 in x6); - Some - (#(Z_cast range)%expr @ - (#(fancy_mullh - (2 * + (let (x12, _) := xv in + x12) / 2) - 1) && + ((let (x12, _) := xv0 in x12) =? + 2 + ^ (2 * Z.log2_up - (let (x6, _) := xv in x6)))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x5), - (##y)%expr)))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None + (let (x12, _) := xv in + x12) / 2) - 1) && + (ZRange.normalize args6 &' + ZRange.normalize + (ZRange.constant + (let (x12, _) := xv in + x12)) <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize + (ZRange.constant + (let (x12, _) := xv0 in + x12)) &' + ZRange.normalize args <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv in x12) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x12, _) := xv0 in x12) + (ZRange.normalize args1) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * + Z.log2_up + (let (x12, _) := + xv in + x12)))%expr @ + (#(Z_cast args6)%expr @ + v (Compile.reflect x5), + #(Z_cast args)%expr @ + v0 (Compile.reflect x11))))%expr_pat + else None); + Some (Base x12)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ ($_)%expr _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.App _ _ _ s10 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ t8 + idc8) @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ _ _ _ _ _) @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ (_ @ _)) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn _ _ _ _ _ + _ _) @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Abs _ _ _ _ _ _ @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _ @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _ @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None + | _ => None end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ x8 @ x7))%expr_pat => - match x8 with - | @expr.Ident _ _ _ t6 idc6 => - match x7 with - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t7 idc7) - x9 => - args <- invert_bind_args idc7 Raw.ident.Z_cast; - args0 <- invert_bind_args idc6 - Raw.ident.Literal; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 - Raw.ident.Literal; - args4 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - (projT1 args0) -> s8)%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - (projT1 args0) -> s8)%ptype - then - v <- type.try_make_transport_cps s4 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s8 ℤ; - fv <- (x10 <- (if - ((let (x10, _) := xv in - x10) =? - 2 - ^ (2 * - Z.log2_up - (let (x10, _) := - xv in - x10) / 2) - 1) && - ((let (x10, _) := xv0 in - x10) =? - 2 - ^ (2 * - Z.log2_up - (let (x10, _) := - xv in - x10) / 2) - 1) && - (ZRange.normalize args4 &' - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv in - x10)) <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv0 in - x10)) &' - ZRange.normalize args <=? - ZRange.normalize args2)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let - (x10, _) := - xv in - x10)))%expr @ - (#(Z_cast args4)%expr @ - v - (Compile.reflect x5), - #(Z_cast args)%expr @ - v0 - (Compile.reflect x9))))%expr_pat - else None); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ - _ s8 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s8 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None + | _ => None + end;; + match x5 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9)))%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Literal; + args0 <- invert_bind_args idc8 Raw.ident.Z_cast; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + (((projT1 args4) -> s5) -> s9 -> (projT1 args))%ptype + with + | Some (_, _, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + (((projT1 args4) -> s5) -> + s9 -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + v <- type.try_make_transport_cps s5 ℤ; + v0 <- type.try_make_transport_cps s9 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x12 <- (if + ((let (x12, _) := xv in x12) =? + 2 + ^ (2 * + Z.log2_up + (let (x12, _) := xv in + x12) / 2) - 1) && + ((let (x12, _) := xv0 in x12) =? + 2 + ^ (2 * + Z.log2_up + (let (x12, _) := xv in + x12) / 2) - 1) && + (ZRange.normalize + (ZRange.constant + (let (x12, _) := xv in + x12)) &' + ZRange.normalize args5 <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize args1 &' + ZRange.normalize + (ZRange.constant + (let (x12, _) := xv0 in + x12)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv in x12) + (ZRange.normalize args6) && + is_bounded_by_bool + (let (x12, _) := xv0 in x12) + (ZRange.normalize args0) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * + Z.log2_up + (let (x12, _) := + xv in + x12)))%expr @ + (#(Z_cast args5)%expr @ + v (Compile.reflect x6), + #(Z_cast args1)%expr @ + v0 (Compile.reflect x10))))%expr_pat + else None); + Some (Base x12)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None end - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) - x9 => - match x7 with - | @expr.Ident _ _ _ t7 idc7 => - args <- invert_bind_args idc7 Raw.ident.Literal; - args0 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 - Raw.ident.Literal; - args4 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype - then - v <- type.try_make_transport_cps s4 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v0 <- type.try_make_transport_cps s8 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x10 <- (if - ((let (x10, _) := xv in - x10) =? - 2 - ^ (2 * - Z.log2_up - (let (x10, _) := - xv in - x10) / 2) - 1) && - ((let (x10, _) := xv0 in - x10) =? - 2 - ^ (2 * - Z.log2_up - (let (x10, _) := - xv in - x10) / 2) - 1) && - (ZRange.normalize args4 &' - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv in - x10)) <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize args0 &' - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv0 in - x10)) <=? - ZRange.normalize args2)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_mulll - (2 * - Z.log2_up - (let - (x10, _) := - xv in - x10)))%expr @ - (#(Z_cast args4)%expr @ - v - (Compile.reflect x5), - #(Z_cast args0)%expr @ - v0 - (Compile.reflect x9))))%expr_pat - else None); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _))))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ _ + _ _)))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.Abs _ _ _ _ + _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (($_)%expr @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Abs _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (_ @ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.LetIn _ _ _ + _ _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + ($_)%expr _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (_ @ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _ @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None + | _ => None + end + | _ => None + end;; + match x6 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9)))%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Literal; + args0 <- invert_bind_args idc8 Raw.ident.Z_cast; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> s9 -> (projT1 args))%ptype + with + | Some (_, _, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> + s9 -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s4 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + v0 <- type.try_make_transport_cps s9 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x12 <- (if + ((let (x12, _) := xv in x12) =? + 2 + ^ (2 * + Z.log2_up + (let (x12, _) := xv in + x12) / 2) - 1) && + ((let (x12, _) := xv0 in x12) =? + 2 + ^ (2 * + Z.log2_up + (let (x12, _) := xv in + x12) / 2) - 1) && + (ZRange.normalize args6 &' + ZRange.normalize + (ZRange.constant + (let (x12, _) := xv in + x12)) <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize args1 &' + ZRange.normalize + (ZRange.constant + (let (x12, _) := xv0 in + x12)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv in x12) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x12, _) := xv0 in x12) + (ZRange.normalize args0) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_mulll + (2 * + Z.log2_up + (let (x12, _) := + xv in + x12)))%expr @ + (#(Z_cast args6)%expr @ + v (Compile.reflect x5), + #(Z_cast args1)%expr @ + v0 (Compile.reflect x10))))%expr_pat + else None); + Some (Base x12)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s8 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _))))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ _ + _ _)))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.Abs _ _ _ _ + _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (($_)%expr @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Abs _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (_ @ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.LetIn _ _ _ + _ _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + ($_)%expr _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (_ @ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _ @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None | _ => None - end;; - match x8 with - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) - x9 => - match x7 with - | @expr.Ident _ _ _ t7 idc7 => - args <- invert_bind_args idc7 Raw.ident.Literal; - args0 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 - Raw.ident.Literal; - args4 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype - then - v <- type.try_make_transport_cps s4 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v0 <- type.try_make_transport_cps s8 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x10 <- (if - ((let (x10, _) := xv in - x10) =? - 2 - ^ (2 * - (let (x10, _) := - xv0 in - x10) / 2) - 1) && - (ZRange.normalize args4 &' - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv in - x10)) <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize args0 >> - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv0 in - x10)) <=? - ZRange.normalize args2)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_mullh - (2 * - (let (x10, _) := - xv0 in - x10)))%expr @ - (#(Z_cast args4)%expr @ - v - (Compile.reflect x5), - #(Z_cast args0)%expr @ - v0 - (Compile.reflect x9))))%expr_pat - else None); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None + end + | _ => None + end;; + match x5 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9)))%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Literal; + args0 <- invert_bind_args idc8 Raw.ident.Z_cast; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + (((projT1 args4) -> s5) -> s9 -> (projT1 args))%ptype + with + | Some (_, _, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + (((projT1 args4) -> s5) -> + s9 -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + v <- type.try_make_transport_cps s5 ℤ; + v0 <- type.try_make_transport_cps s9 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x12 <- (if + ((let (x12, _) := xv in x12) =? + 2 + ^ (2 * + (let (x12, _) := xv0 in + x12) / 2) - 1) && + (ZRange.normalize + (ZRange.constant + (let (x12, _) := xv in + x12)) &' + ZRange.normalize args5 <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize args1 >> + ZRange.normalize + (ZRange.constant + (let (x12, _) := xv0 in + x12)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv in x12) + (ZRange.normalize args6) && + is_bounded_by_bool + (let (x12, _) := xv0 in x12) + (ZRange.normalize args0) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_mullh + (2 * + (let (x12, _) := + xv0 in + x12)))%expr @ + (#(Z_cast args5)%expr @ + v (Compile.reflect x6), + #(Z_cast args1)%expr @ + v0 (Compile.reflect x10))))%expr_pat + else None); + Some (Base x12)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s8 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _))))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ _ + _ _)))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.Abs _ _ _ _ + _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (($_)%expr @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Abs _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (_ @ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.LetIn _ _ _ + _ _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + ($_)%expr _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (_ @ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _ @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None + | _ => None + end + | _ => None + end;; + match x6 with + | @expr.Ident _ _ _ t4 idc4 => + match x0 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9)))%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Literal; + args0 <- invert_bind_args idc8 Raw.ident.Z_cast; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> s9 -> (projT1 args))%ptype + with + | Some (_, _, (_, _))%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> + s9 -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s4 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args4); + v0 <- type.try_make_transport_cps s9 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x12 <- (if + ((let (x12, _) := xv in x12) =? + 2 + ^ (2 * + (let (x12, _) := xv0 in + x12) / 2) - 1) && + (ZRange.normalize args6 &' + ZRange.normalize + (ZRange.constant + (let (x12, _) := xv in + x12)) <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize args1 >> + ZRange.normalize + (ZRange.constant + (let (x12, _) := xv0 in + x12)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv in x12) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x12, _) := xv0 in x12) + (ZRange.normalize args0) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_mullh + (2 * + (let (x12, _) := + xv0 in + x12)))%expr @ + (#(Z_cast args6)%expr @ + v (Compile.reflect x5), + #(Z_cast args1)%expr @ + v0 (Compile.reflect x10))))%expr_pat + else None); + Some (Base x12)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _))))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ _ + _ _)))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.Abs _ _ _ _ + _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (($_)%expr @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.Abs _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ (_ @ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t7 idc7) x10 @ @expr.LetIn _ _ _ + _ _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + ($_)%expr _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (_ @ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s9 _ + (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _ @ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ + _)%expr_pat => None | _ => None end - | (@expr.Ident _ _ _ t4 idc4 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - None | _ => None end + | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ @@ -1414,371 +2072,462 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with match x4 with | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5 => match x3 with - | @expr.Ident _ _ _ t3 idc3 => + | (@expr.Ident _ _ _ t3 idc3 @ @expr.Ident _ _ _ t4 idc4)%expr_pat => match x0 with - | @expr.Ident _ _ _ t4 idc4 => - (args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Literal; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + | (@expr.Ident _ _ _ t5 idc5 @ @expr.Ident _ _ _ t6 idc6)%expr_pat => + (args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_shiftr; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_mul; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype with | Some (_, _, _)%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype then v <- type.try_make_transport_cps s4 ℤ; xv <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x6 <- (if - (ZRange.normalize args1 >> + fv <- (x8 <- (if + (ZRange.normalize args3 >> ZRange.normalize (ZRange.constant - (let (x6, _) := xv in x6)) <=? - ZRange.normalize args3)%zrange + (let (x8, _) := xv in x8)) <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args2) then y <- invert_low (2 * - (let (x6, _) := xv in x6)) - (let (x6, _) := xv0 in x6); + (let (x8, _) := xv in x8)) + (let (x8, _) := xv0 in x8); Some (#(Z_cast range)%expr @ (#(fancy_mulhl (2 * - (let (x6, _) := xv in x6)))%expr @ - (#(Z_cast args1)%expr @ + (let (x8, _) := xv in x8)))%expr @ + (#(Z_cast args3)%expr @ v (Compile.reflect x5), (##y)%expr)))%expr_pat else None); - Some (Base x6)); + Some (Base x8)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end);; - args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Literal; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + args <- invert_bind_args idc6 Raw.ident.Literal; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_shiftr; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_mul; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype with | Some (_, _, _)%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ)%ptype - ((s4 -> (projT1 args0)) -> (projT1 args))%ptype + ((s4 -> (projT1 args1)) -> (projT1 args))%ptype then v <- type.try_make_transport_cps s4 ℤ; xv <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x6 <- (if - (ZRange.normalize args1 >> + fv <- (x8 <- (if + (ZRange.normalize args3 >> ZRange.normalize (ZRange.constant - (let (x6, _) := xv in x6)) <=? - ZRange.normalize args3)%zrange + (let (x8, _) := xv in x8)) <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x8, _) := xv in x8) + (ZRange.normalize args2) then y <- invert_high (2 * - (let (x6, _) := xv in x6)) - (let (x6, _) := xv0 in x6); + (let (x8, _) := xv in x8)) + (let (x8, _) := xv0 in x8); Some (#(Z_cast range)%expr @ (#(fancy_mulhh (2 * - (let (x6, _) := xv in x6)))%expr @ - (#(Z_cast args1)%expr @ + (let (x8, _) := xv in x8)))%expr @ + (#(Z_cast args3)%expr @ v (Compile.reflect x5), (##y)%expr)))%expr_pat else None); - Some (Base x6)); + Some (Base x8)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ x8 @ x7))%expr_pat => - match x8 with - | @expr.Ident _ _ _ t6 idc6 => - match x7 with - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t7 idc7) - x9 => - args <- invert_bind_args idc7 Raw.ident.Z_cast; - args0 <- invert_bind_args idc6 - Raw.ident.Literal; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 - Raw.ident.Literal; - args4 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_shiftr; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_mul; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - (projT1 args0) -> s8)%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - (projT1 args0) -> s8)%ptype - then - v <- type.try_make_transport_cps s4 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s8 ℤ; - fv <- (x10 <- (if - ((let (x10, _) := xv0 in - x10) =? - 2 - ^ (2 * - (let (x10, _) := xv in - x10) / 2) - 1) && - (ZRange.normalize args4 >> - ZRange.normalize - (ZRange.constant - (let (x10, _) := - xv in - x10)) <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize - (ZRange.constant - (let (x10, _) := + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ x9 @ x8))%expr_pat => + match x9 with + | @expr.App _ _ _ s9 _ (@expr.Ident _ _ _ t7 idc7) + x10 => + match x10 with + | @expr.Ident _ _ _ t8 idc8 => + match x8 with + | @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t9 idc9) x11 => + args <- invert_bind_args idc9 + Raw.ident.Z_cast; + args0 <- invert_bind_args idc8 + Raw.ident.Literal; + args1 <- invert_bind_args idc7 + Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args3 <- invert_bind_args idc5 + Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 + Raw.ident.Literal; + args5 <- invert_bind_args idc3 + Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 + Raw.ident.Z_cast; + _ <- invert_bind_args idc1 + Raw.ident.Z_shiftr; + args8 <- invert_bind_args idc0 + Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_mul; + match + pattern.type.unify_extracted + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> + (projT1 args0) -> s10)%ptype + with + | Some (_, _, (_, _))%zrange => + if + type.type_beq base.type + base.type.type_beq + ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype + ((s4 -> (projT1 args4)) -> + (projT1 args0) -> s10)%ptype + then + v <- type.try_make_transport_cps s4 ℤ; + xv <- ident.unify + pattern.ident.Literal + ##(projT2 args4); + xv0 <- ident.unify + pattern.ident.Literal + ##(projT2 args0); + v0 <- type.try_make_transport_cps s10 ℤ; + fv <- (x12 <- (if + ((let (x12, _) := + xv0 in + x12) =? + 2 + ^ (2 * + (let (x12, _) := + xv in + x12) / 2) - 1) && + (ZRange.normalize + args6 >> + ZRange.normalize + (ZRange.constant + (let (x12, _) := + xv in + x12)) <=? + ZRange.normalize + args8)%zrange && + (ZRange.normalize + (ZRange.constant + (let (x12, _) := + xv0 in + x12)) &' + ZRange.normalize args <=? + ZRange.normalize + args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv0 in - x10)) &' - ZRange.normalize args <=? - ZRange.normalize args2)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_mulhl - (2 * - (let (x10, _) := - xv in - x10)))%expr @ - (#(Z_cast args4)%expr @ - v - (Compile.reflect x5), - #(Z_cast args)%expr @ - v0 - (Compile.reflect x9))))%expr_pat - else None); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None + x12) + (ZRange.normalize + args1) && + is_bounded_by_bool + (let (x12, _) := + xv in + x12) + (ZRange.normalize + args5) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_mulhl + (2 * + (let + (x12, + _) := + xv in + x12)))%expr @ + (#(Z_cast args6)%expr @ + v + (Compile.reflect + x5), + #(Z_cast args)%expr @ + v0 + (Compile.reflect + x11))))%expr_pat + else None); + Some (Base x12)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s10 _ ($_)%expr _ | @expr.App + _ _ _ s10 _ (@expr.Abs _ _ _ _ _ _) _ | + @expr.App _ _ _ s10 _ (_ @ _)%expr_pat _ | + @expr.App _ _ _ s10 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ - _ s8 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s8 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None - end - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) - x9 => - match x7 with - | @expr.Ident _ _ _ t7 idc7 => - args <- invert_bind_args idc7 Raw.ident.Literal; - args0 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 + end;; + match x8 with + | (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9)%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Literal; + args0 <- invert_bind_args idc8 Raw.ident.Z_cast; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; - args4 <- invert_bind_args idc2 Raw.ident.Z_cast; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_shiftr; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_mul; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype + ((s4 -> (projT1 args4)) -> + s9 -> (projT1 args))%ptype with | Some (_, _, (_, _))%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype + ((s4 -> (projT1 args4)) -> + s9 -> (projT1 args))%ptype then v <- type.try_make_transport_cps s4 ℤ; xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v0 <- type.try_make_transport_cps s8 ℤ; + ##(projT2 args4); + v0 <- type.try_make_transport_cps s9 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x10 <- (if - ((let (x10, _) := xv0 in - x10) =? + fv <- (x12 <- (if + ((let (x12, _) := xv0 in + x12) =? 2 ^ (2 * - (let (x10, _) := xv in - x10) / 2) - 1) && - (ZRange.normalize args4 >> + (let (x12, _) := xv in + x12) / 2) - 1) && + (ZRange.normalize args6 >> ZRange.normalize (ZRange.constant - (let (x10, _) := + (let (x12, _) := xv in - x10)) <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize args0 &' + x12)) <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize args1 &' ZRange.normalize (ZRange.constant - (let (x10, _) := + (let (x12, _) := xv0 in - x10)) <=? - ZRange.normalize args2)%zrange + x12)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv0 in + x12) + (ZRange.normalize args0) && + is_bounded_by_bool + (let (x12, _) := xv in + x12) + (ZRange.normalize args5) then Some (#(Z_cast range)%expr @ (#(fancy_mulhl (2 * - (let (x10, _) := + (let (x12, _) := xv in - x10)))%expr @ - (#(Z_cast args4)%expr @ + x12)))%expr @ + (#(Z_cast args6)%expr @ v (Compile.reflect x5), - #(Z_cast args0)%expr @ + #(Z_cast args1)%expr @ v0 - (Compile.reflect x9))))%expr_pat + (Compile.reflect x10))))%expr_pat else None); - Some (Base x10)); + Some (Base x12)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ + _)%expr_pat | + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ + _ _ _)%expr_pat => None | _ => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s8 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ + | @expr.App _ _ _ s9 _ ($_)%expr _ | @expr.App _ _ _ s9 + _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s9 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end;; - match x8 with - | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) - x9 => - match x7 with - | @expr.Ident _ _ _ t7 idc7 => - args <- invert_bind_args idc7 Raw.ident.Literal; - args0 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc3 + match x9 with + | @expr.App _ _ _ s9 _ (@expr.Ident _ _ _ t7 idc7) + x10 => + match x8 with + | (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9)%expr_pat => + args <- invert_bind_args idc9 Raw.ident.Literal; + args0 <- invert_bind_args idc8 Raw.ident.Z_cast; + args1 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc5 Raw.ident.Z_cast; + args4 <- invert_bind_args idc4 Raw.ident.Literal; - args4 <- invert_bind_args idc2 Raw.ident.Z_cast; + args5 <- invert_bind_args idc3 Raw.ident.Z_cast; + args6 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_shiftr; - args6 <- invert_bind_args idc0 Raw.ident.Z_cast; + args8 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_mul; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype + ((s4 -> (projT1 args4)) -> + s9 -> (projT1 args))%ptype with | Some (_, _, (_, _))%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - ((s4 -> (projT1 args3)) -> - s8 -> (projT1 args))%ptype + ((s4 -> (projT1 args4)) -> + s9 -> (projT1 args))%ptype then v <- type.try_make_transport_cps s4 ℤ; xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v0 <- type.try_make_transport_cps s8 ℤ; + ##(projT2 args4); + v0 <- type.try_make_transport_cps s9 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x10 <- (if - ((let (x10, _) := xv in - x10) =? - (let (x10, _) := xv0 in - x10)) && - (ZRange.normalize args4 >> + fv <- (x12 <- (if + ((let (x12, _) := xv in + x12) =? + (let (x12, _) := xv0 in + x12)) && + (ZRange.normalize args6 >> ZRange.normalize (ZRange.constant - (let (x10, _) := + (let (x12, _) := xv in - x10)) <=? - ZRange.normalize args6)%zrange && - (ZRange.normalize args0 >> + x12)) <=? + ZRange.normalize args8)%zrange && + (ZRange.normalize args1 >> ZRange.normalize (ZRange.constant - (let (x10, _) := + (let (x12, _) := xv0 in - x10)) <=? - ZRange.normalize args2)%zrange + x12)) <=? + ZRange.normalize args3)%zrange && + is_bounded_by_bool + (let (x12, _) := xv in + x12) + (ZRange.normalize args5) && + is_bounded_by_bool + (let (x12, _) := xv0 in + x12) + (ZRange.normalize args0) then Some (#(Z_cast range)%expr @ (#(fancy_mulhh (2 * - (let (x10, _) := + (let (x12, _) := xv in - x10)))%expr @ - (#(Z_cast args4)%expr @ + x12)))%expr @ + (#(Z_cast args6)%expr @ v (Compile.reflect x5), - #(Z_cast args0)%expr @ + #(Z_cast args1)%expr @ v0 - (Compile.reflect x9))))%expr_pat + (Compile.reflect x10))))%expr_pat else None); - Some (Base x10)); + Some (Base x12)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ + _)%expr_pat | + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ + _ _ _)%expr_pat => None | _ => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s8 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ + | @expr.App _ _ _ s9 _ ($_)%expr _ | @expr.App _ _ _ s9 + _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s9 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | (@expr.Ident _ _ _ t4 idc4 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + | (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | _ => None end + | (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ @@ -1788,30 +2537,6 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with end | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) #(_)%expr_pat | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) ($_)%expr | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (@expr.Abs _ _ _ _ _ _) | @expr.App _ _ - _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (($_)%expr @ _)%expr_pat | @expr.App _ - _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (@expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (_ @ _ @ _)%expr_pat | @expr.App _ _ _ - s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) - (@expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0)) (@expr.LetIn _ _ _ _ _ _ _) | @expr.App - _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) - (@expr.Ident _ _ _ t0 idc0 @ #(_))%expr_pat) _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) @@ -1845,6 +2570,8 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat) _ => None | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) #(_)%expr_pat) _ | + @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) ($_)%expr) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) @@ -1866,524 +2593,202 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ x5 @ x4))%expr_pat => match x5 with - | @expr.Ident _ _ _ t2 idc2 => + | (@expr.Ident _ _ _ t2 idc2 @ @expr.Ident _ _ _ t3 idc3)%expr_pat => match x4 with - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6 => + | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t4 idc4) x7 => match x1 with - | @expr.Ident _ _ _ t4 idc4 => + | @expr.App _ _ _ s7 _ (@expr.Ident _ _ _ t5 idc5) + x8 => match x0 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 - Raw.ident.Literal; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_cc_m; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> - (projT1 args0)) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x7 <- (if - ((let (x7, _) := xv in x7) =? - 2 - ^ Z.log2 - (let (x7, _) := xv in - x7)) && - ((ZRange.cc_m - (let (x7, _) := xv in - x7)) - (ZRange.normalize args1) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_selm - (Z.log2 - (let (x7, _) := - xv in - x7)))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - (##(let (x7, _) := - xv0 in - x7))%expr, - (##(let (x7, _) := - xv1 in - x7))%expr)))%expr_pat - else None); - Some (Base x7)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t5 idc5) - x7 => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - args0 <- invert_bind_args idc4 - Raw.ident.Literal; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_cc_m; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> (projT1 args0)) -> - s6)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> - (projT1 args0)) -> s6)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s6 ℤ; - fv <- (x8 <- (if - ((let (x8, _) := xv in x8) =? - 2 - ^ Z.log2 - (let (x8, _) := xv in - x8)) && - ((ZRange.cc_m - (let (x8, _) := xv in - x8)) - (ZRange.normalize args1) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_selm - (Z.log2 - (let (x8, _) := - xv in - x8)))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - (##(let (x8, _) := - xv0 in - x8))%expr, - #(Z_cast args)%expr @ - v0 (Compile.reflect x7))))%expr_pat - else None); - Some (Base x8)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ - _ s6 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s6 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t4 idc4) - x7 => - match x0 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_cc_m; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - v0 <- type.try_make_transport_cps s6 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x8 <- (if - ((let (x8, _) := xv in x8) =? - 2 - ^ Z.log2 - (let (x8, _) := xv in - x8)) && - ((ZRange.cc_m - (let (x8, _) := xv in - x8)) - (ZRange.normalize args1) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_selm - (Z.log2 - (let (x8, _) := - xv in - x8)))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - #(Z_cast args0)%expr @ - v0 (Compile.reflect x7), - (##(let (x8, _) := - xv0 in - x8))%expr)))%expr_pat - else None); - Some (Base x8)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s7 _ (@expr.Ident _ _ _ t5 idc5) - x8 => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 + | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) + x9 => + args <- invert_bind_args idc6 Raw.ident.Z_cast; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Z_cast; + args2 <- invert_bind_args idc3 Raw.ident.Literal; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_cc_m; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_zselect; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> s7)%ptype + ((((projT1 args2) -> s6) -> s7) -> s8)%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> s7)%ptype + ((((projT1 args2) -> s6) -> s7) -> s8)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - v0 <- type.try_make_transport_cps s6 ℤ; - v1 <- type.try_make_transport_cps s7 ℤ; - fv <- (x9 <- (if - ((let (x9, _) := xv in x9) =? - 2 - ^ Z.log2 - (let (x9, _) := xv in - x9)) && - ((ZRange.cc_m - (let (x9, _) := xv in - x9)) - (ZRange.normalize args1) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_selm - (Z.log2 - (let (x9, _) := - xv in - x9)))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - #(Z_cast args0)%expr @ - v0 (Compile.reflect x7), - #(Z_cast args)%expr @ - v1 (Compile.reflect x8))))%expr_pat - else None); - Some (Base x9)); + v <- type.try_make_transport_cps s6 ℤ; + v0 <- type.try_make_transport_cps s7 ℤ; + v1 <- type.try_make_transport_cps s8 ℤ; + fv <- (x10 <- (if + ((let (x10, _) := xv in + x10) =? + 2 + ^ Z.log2 + (let (x10, _) := + xv in + x10)) && + ((ZRange.cc_m + (let (x10, _) := xv in + x10)) + (ZRange.normalize args1) <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x10, _) := xv in + x10) + (ZRange.normalize args3) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_selm + (Z.log2 + (let + (x10, _) := + xv in + x10)))%expr @ + (#(Z_cast args1)%expr @ + v + (Compile.reflect x7), + #(Z_cast args0)%expr @ + v0 + (Compile.reflect x8), + #(Z_cast args)%expr @ + v1 + (Compile.reflect x9))))%expr_pat + else None); + Some (Base x10)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App _ _ - _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s7 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s7 _ + | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ + _ s8 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ + _ s8 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ _ s6 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s6 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ + | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App _ _ _ s7 + _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s7 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s7 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ + | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ _ s6 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s6 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; match x5 with - | @expr.Ident _ _ _ t2 idc2 => - match x4 with - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6 => - match x1 with - | @expr.Ident _ _ _ t4 idc4 => - match x0 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 - Raw.ident.Literal; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> - (projT1 args0)) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x7 <- (if - ((let (x7, _) := xv in x7) =? - 1) && - (ZRange.normalize - (ZRange.constant - (let (x7, _) := xv in - x7)) &' - ZRange.normalize args1 <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - (##(let (x7, _) := - xv0 in - x7))%expr, - (##(let (x7, _) := - xv1 in - x7))%expr)))%expr_pat - else None); - Some (Base x7)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t5 idc5) - x7 => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - args0 <- invert_bind_args idc4 - Raw.ident.Literal; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> (projT1 args0)) -> - s6)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> - (projT1 args0)) -> s6)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s6 ℤ; - fv <- (x8 <- (if - ((let (x8, _) := xv in x8) =? - 1) && - (ZRange.normalize - (ZRange.constant - (let (x8, _) := xv in - x8)) &' - ZRange.normalize args1 <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - (##(let (x8, _) := - xv0 in - x8))%expr, - #(Z_cast args)%expr @ - v0 (Compile.reflect x7))))%expr_pat - else None); - Some (Base x8)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ - _ s6 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s6 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end + | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t2 idc2) x6 => + match x6 with + | @expr.Ident _ _ _ t3 idc3 => + match x4 with | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t4 idc4) x7 => - match x0 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - v0 <- type.try_make_transport_cps s6 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x8 <- (if - ((let (x8, _) := xv in x8) =? - 1) && - (ZRange.normalize - (ZRange.constant - (let (x8, _) := xv in - x8)) &' - ZRange.normalize args1 <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - #(Z_cast args0)%expr @ - v0 (Compile.reflect x7), - (##(let (x8, _) := - xv0 in - x8))%expr)))%expr_pat - else None); - Some (Base x8)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end + match x1 with | @expr.App _ _ _ s7 _ (@expr.Ident _ _ _ t5 idc5) x8 => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> s7)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s5) -> s6) -> s7)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s5 ℤ; - v0 <- type.try_make_transport_cps s6 ℤ; - v1 <- type.try_make_transport_cps s7 ℤ; - fv <- (x9 <- (if - ((let (x9, _) := xv in x9) =? - 1) && - (ZRange.normalize - (ZRange.constant - (let (x9, _) := xv in - x9)) &' - ZRange.normalize args1 <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x6), - #(Z_cast args0)%expr @ - v0 (Compile.reflect x7), - #(Z_cast args)%expr @ - v1 (Compile.reflect x8))))%expr_pat - else None); - Some (Base x9)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None + match x0 with + | @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t6 idc6) x9 => + args <- invert_bind_args idc6 + Raw.ident.Z_cast; + args0 <- invert_bind_args idc5 + Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 + Raw.ident.Z_cast; + args2 <- invert_bind_args idc3 + Raw.ident.Literal; + args3 <- invert_bind_args idc2 + Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_land; + args5 <- invert_bind_args idc0 + Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_zselect; + match + pattern.type.unify_extracted + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> s6) -> s7) -> s8)%ptype + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type + base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> s6) -> s7) -> + s8)%ptype + then + xv <- ident.unify + pattern.ident.Literal + ##(projT2 args2); + v <- type.try_make_transport_cps s6 ℤ; + v0 <- type.try_make_transport_cps s7 ℤ; + v1 <- type.try_make_transport_cps s8 ℤ; + fv <- (x10 <- (if + ((let (x10, _) := + xv in + x10) =? 1) && + (ZRange.normalize + (ZRange.constant + (let (x10, _) := + xv in + x10)) &' + ZRange.normalize + args1 <=? + ZRange.normalize + args5)%zrange && + is_bounded_by_bool + (let (x10, _) := + xv in + x10) + (ZRange.normalize + args3) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_sell)%expr @ + (#(Z_cast args1)%expr @ + v + (Compile.reflect + x7), + #(Z_cast args0)%expr @ + v0 + (Compile.reflect + x8), + #(Z_cast args)%expr @ + v1 + (Compile.reflect + x9))))%expr_pat + else None); + Some (Base x10)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App + _ _ _ s8 _ (@expr.Abs _ _ _ _ _ _) _ | + @expr.App _ _ _ s8 _ (_ @ _)%expr_pat _ | + @expr.App _ _ _ s8 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None end | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App _ _ _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ @@ -2397,261 +2802,92 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None - end - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t2 idc2) x6 => + end;; match x4 with - | @expr.Ident _ _ _ t3 idc3 => + | (@expr.Ident _ _ _ t3 idc3 @ @expr.Ident _ _ _ t4 idc4)%expr_pat => match x1 with - | @expr.Ident _ _ _ t4 idc4 => + | @expr.App _ _ _ s7 _ (@expr.Ident _ _ _ t5 idc5) + x8 => match x0 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 - Raw.ident.Literal; - args1 <- invert_bind_args idc3 - Raw.ident.Literal; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> - (projT1 args0)) -> (projT1 args))%ptype - then - v <- type.try_make_transport_cps s5 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x7 <- (if - ((let (x7, _) := xv in x7) =? - 1) && - (ZRange.normalize args2 &' - ZRange.normalize - (ZRange.constant - (let (x7, _) := xv in - x7)) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args2)%expr @ - v (Compile.reflect x6), - (##(let (x7, _) := - xv0 in - x7))%expr, - (##(let (x7, _) := - xv1 in - x7))%expr)))%expr_pat - else None); - Some (Base x7)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t5 idc5) - x7 => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - args0 <- invert_bind_args idc4 - Raw.ident.Literal; - args1 <- invert_bind_args idc3 - Raw.ident.Literal; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> (projT1 args0)) -> - s6)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> - (projT1 args0)) -> s6)%ptype - then - v <- type.try_make_transport_cps s5 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s6 ℤ; - fv <- (x8 <- (if - ((let (x8, _) := xv in x8) =? - 1) && - (ZRange.normalize args2 &' - ZRange.normalize - (ZRange.constant - (let (x8, _) := xv in - x8)) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args2)%expr @ - v (Compile.reflect x6), - (##(let (x8, _) := - xv0 in - x8))%expr, - #(Z_cast args)%expr @ - v0 (Compile.reflect x7))))%expr_pat - else None); - Some (Base x8)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ - _ s6 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s6 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t4 idc4) - x7 => - match x0 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - args1 <- invert_bind_args idc3 - Raw.ident.Literal; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_zselect; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> s6) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> s6) -> - (projT1 args))%ptype - then - v <- type.try_make_transport_cps s5 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v0 <- type.try_make_transport_cps s6 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x8 <- (if - ((let (x8, _) := xv in x8) =? - 1) && - (ZRange.normalize args2 &' - ZRange.normalize - (ZRange.constant - (let (x8, _) := xv in - x8)) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args2)%expr @ - v (Compile.reflect x6), - #(Z_cast args0)%expr @ - v0 (Compile.reflect x7), - (##(let (x8, _) := - xv0 in - x8))%expr)))%expr_pat - else None); - Some (Base x8)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s7 _ (@expr.Ident _ _ _ t5 idc5) - x8 => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - args1 <- invert_bind_args idc3 + | @expr.App _ _ _ s8 _ (@expr.Ident _ _ _ t6 idc6) + x9 => + args <- invert_bind_args idc6 Raw.ident.Z_cast; + args0 <- invert_bind_args idc5 Raw.ident.Z_cast; + args1 <- invert_bind_args idc4 Raw.ident.Literal; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; + args2 <- invert_bind_args idc3 Raw.ident.Z_cast; + args3 <- invert_bind_args idc2 Raw.ident.Z_cast; _ <- invert_bind_args idc1 Raw.ident.Z_land; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; + args5 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_zselect; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> s6) -> s7)%ptype + (((s5 -> (projT1 args1)) -> s7) -> s8)%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s5 -> (projT1 args1)) -> s6) -> s7)%ptype + (((s5 -> (projT1 args1)) -> s7) -> s8)%ptype then v <- type.try_make_transport_cps s5 ℤ; xv <- ident.unify pattern.ident.Literal ##(projT2 args1); - v0 <- type.try_make_transport_cps s6 ℤ; - v1 <- type.try_make_transport_cps s7 ℤ; - fv <- (x9 <- (if - ((let (x9, _) := xv in x9) =? - 1) && - (ZRange.normalize args2 &' - ZRange.normalize - (ZRange.constant - (let (x9, _) := xv in - x9)) <=? - ZRange.normalize args4)%zrange - then - Some - (#(Z_cast range)%expr @ - (#(fancy_sell)%expr @ - (#(Z_cast args2)%expr @ - v (Compile.reflect x6), - #(Z_cast args0)%expr @ - v0 (Compile.reflect x7), - #(Z_cast args)%expr @ - v1 (Compile.reflect x8))))%expr_pat - else None); - Some (Base x9)); + v0 <- type.try_make_transport_cps s7 ℤ; + v1 <- type.try_make_transport_cps s8 ℤ; + fv <- (x10 <- (if + ((let (x10, _) := xv in + x10) =? 1) && + (ZRange.normalize args3 &' + ZRange.normalize + (ZRange.constant + (let (x10, _) := + xv in + x10)) <=? + ZRange.normalize args5)%zrange && + is_bounded_by_bool + (let (x10, _) := xv in + x10) + (ZRange.normalize args2) + then + Some + (#(Z_cast range)%expr @ + (#(fancy_sell)%expr @ + (#(Z_cast args3)%expr @ + v + (Compile.reflect x6), + #(Z_cast args0)%expr @ + v0 + (Compile.reflect x8), + #(Z_cast args)%expr @ + v1 + (Compile.reflect x9))))%expr_pat + else None); + Some (Base x10)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App _ _ - _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s7 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s7 _ + | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App _ _ + _ s8 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ + _ s8 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s8 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ _ s6 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s6 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ + | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App _ _ _ s7 + _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s7 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s7 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ @@ -2700,43 +2936,51 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4)) - (@expr.Ident _ _ _ t3 idc3) => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Literal; + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (@expr.Ident _ _ _ t4 idc4 @ @expr.Ident _ _ _ t5 idc5)%expr_pat => + args <- invert_bind_args idc5 Raw.ident.Literal; + args0 <- invert_bind_args idc4 Raw.ident.Z_cast; + args1 <- invert_bind_args idc3 Raw.ident.Z_cast; + args2 <- invert_bind_args idc2 Raw.ident.Z_cast; + args3 <- invert_bind_args idc1 Raw.ident.Literal; + args4 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_rshi; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> (projT1 args))%ptype + ((((projT1 args3) -> s4) -> s5) -> (projT1 args))%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> (projT1 args))%ptype + ((((projT1 args3) -> s4) -> s5) -> (projT1 args))%ptype then - xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal ##(projT2 args1); - v <- type.try_make_transport_cps s3 ℤ; - xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x5 <- (if - (let (x5, _) := xv in x5) =? - 2 ^ Z.log2 (let (x5, _) := xv in x5) + xv <- ident.unify pattern.ident.Literal ##(projT2 args3); + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x8 <- (if + ((let (x8, _) := xv in x8) =? + 2 ^ Z.log2 (let (x8, _) := xv in x8)) && + is_bounded_by_bool (let (x8, _) := xv in x8) + (ZRange.normalize args4) && + is_bounded_by_bool (let (x8, _) := xv0 in x8) + (ZRange.normalize args0) then Some (#(Z_cast range)%expr @ (#(fancy_rshi - (Z.log2 (let (x5, _) := xv in x5)) - (let (x5, _) := xv1 in x5))%expr @ - ((##(let (x5, _) := xv0 in x5))%expr, - #(Z_cast args0)%expr @ - v (Compile.reflect x4))))%expr_pat + (Z.log2 (let (x8, _) := xv in x8)) + (let (x8, _) := xv0 in x8))%expr @ + (#(Z_cast args2)%expr @ + v (Compile.reflect x5), + #(Z_cast args1)%expr @ + v0 (Compile.reflect x6))))%expr_pat else None); - Some (Base x5)); + Some (Base x8)); Some (fv0 <-- fv; Base fv0)%under_lets else None @@ -2745,276 +2989,211 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) (@expr.App _ _ _ s3 _ ($_)%expr _)) - _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (@expr.Abs _ _ _ _ _ _) _)) _ | @expr.App _ _ - _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (_ @ _)%expr_pat _)) _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (@expr.LetIn _ _ _ _ _ _ _) _)) _ => None - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) #(_)%expr_pat) _ | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | @expr.App _ _ _ s + _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) ($_)%expr) _ | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) (@expr.Abs _ _ _ _ _ _)) _ | @expr.App - _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (@expr.Ident _ _ _ t4 idc4 @ (_ @ _))%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) (@expr.LetIn _ _ _ _ _ _ _)) _ => None + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.Ident _ _ _ t2 idc2)) (@expr.Ident _ _ _ t3 idc3) => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_rshi; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify pattern.ident.Literal ##(projT2 args0); - xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x5 <- (if - (let (x5, _) := xv in x5) =? - 2 ^ Z.log2 (let (x5, _) := xv in x5) - then - Some - (#(Z_cast range)%expr @ - (#(fancy_rshi - (Z.log2 (let (x5, _) := xv in x5)) - (let (x5, _) := xv1 in x5))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x4), - (##(let (x5, _) := xv0 in x5))%expr)))%expr_pat - else None); - Some (Base x5)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + #(_)%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4)) ($_)%expr | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) ($_)%expr | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4)) + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) (@expr.Abs _ _ _ _ _ _) | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4)) - (_ @ _)%expr_pat | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (($_)%expr @ _)%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.Ident _ _ _ t1 idc1)) - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4)) - (@expr.LetIn _ _ _ _ _ _ _) | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (@expr.Abs _ _ _ _ _ _ @ _)%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.Ident _ _ _ t2 idc2)) ($_)%expr | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (_ @ _ @ _)%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.Ident _ _ _ t2 idc2)) (@expr.Abs _ _ _ _ _ _) | @expr.App _ _ - _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.Ident _ _ _ t2 idc2)) (_ @ _)%expr_pat | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.Ident _ _ _ t2 idc2)) (@expr.LetIn _ _ _ _ _ _ _) => None - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) - (@expr.Ident _ _ _ t3 idc3) => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_rshi; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x6 <- (if - (let (x6, _) := xv in x6) =? - 2 ^ Z.log2 (let (x6, _) := xv in x6) - then - Some - (#(Z_cast range)%expr @ - (#(fancy_rshi - (Z.log2 (let (x6, _) := xv in x6)) - (let (x6, _) := xv0 in x6))%expr @ - (#(Z_cast args1)%expr @ - v (Compile.reflect x4), - #(Z_cast args0)%expr @ - v0 (Compile.reflect x5))))%expr_pat - else None); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) ($_)%expr | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) - (@expr.Abs _ _ _ _ _ _) | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) - (_ @ _)%expr_pat | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) + (@expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6)) (@expr.LetIn _ _ _ _ _ _ _) => None | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ ($_)%expr _)) _ | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ ($_)%expr _)) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (@expr.Abs _ _ _ _ _ _) _)) _ | @expr.App _ _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.Abs _ _ _ _ _ _) _)) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (_ @ _)%expr_pat _)) _ | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (_ @ _)%expr_pat _)) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) - (@expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _)) _ => None + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + (@expr.App _ _ _ s5 _ (@expr.LetIn _ _ _ _ _ _ _) _)) _ => None | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) ($_)%expr) + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) + #(_)%expr_pat) _ | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) ($_)%expr) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) (@expr.Abs _ _ _ _ _ _)) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4)) + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5)) (@expr.LetIn _ _ _ _ _ _ _)) _ => None | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ ($_)%expr _)) _) _ | @expr.App _ _ _ s _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ ($_)%expr _)) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.Abs _ _ _ _ _ _) _)) _) _ | @expr.App + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.Abs _ _ _ _ _ _) _)) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (_ @ _)%expr_pat _)) _) _ | @expr.App _ _ _ s + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (_ @ _)%expr_pat _)) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat - (@expr.App _ _ _ s3 _ (@expr.LetIn _ _ _ _ _ _ _) _)) _) _ => None + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + (@expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _)) _) _ => None | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat + #(_)%expr_pat) _) _ | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat ($_)%expr) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat (@expr.Abs _ _ _ _ _ _)) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1))%expr_pat (@expr.LetIn _ _ _ _ _ _ _)) _) _ => None | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr))%expr_pat + _) _) _ | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _))%expr_pat _) + _) _ | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ (_ @ _)))%expr_pat + _) _) _ | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat + _) _) _ => None + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t idc @ #(_))%expr_pat _) + _) _ | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat _) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ @@ -3022,7 +3201,20 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat _) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ (($_)%expr @ _))%expr_pat _) _) _ | + @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat _) + _) _ | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ (_ @ _ @ _))%expr_pat _) _) _ | + @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t idc @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat _) _) _ | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ @@ -3077,700 +3269,65 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with ((match x with | (@expr.Ident _ _ _ t idc @ x2 @ x1 @ x0)%expr_pat => match x2 with - | @expr.Ident _ _ _ t0 idc0 => + | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => match x1 with - | @expr.Ident _ _ _ t1 idc1 => - match x0 with - | @expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t2 idc2) x3 => - match x3 with - | (@expr.Ident _ _ _ t3 idc3 @ x5 @ x4)%expr_pat => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.Ident - _ _ _ t7 idc7))%expr_pat => - match x4 with - | @expr.Ident _ _ _ t8 idc8 => - args <- invert_bind_args idc8 - Raw.ident.Literal; - args0 <- invert_bind_args idc7 - Raw.ident.Literal; - args1 <- invert_bind_args idc6 - Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args3 <- invert_bind_args idc4 - Raw.ident.Z_cast; - _ <- invert_bind_args idc3 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args6 <- invert_bind_args idc1 - Raw.ident.Literal; - args7 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> (projT1 args6)) -> - (s8 -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, (_, _, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> (projT1 args6)) -> - (s8 -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args7); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args6); - v <- type.try_make_transport_cps s8 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x10 <- (let - '(r1, r2)%zrange := - range in - fun (s9 xx : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask offset : Z) => - if - (s9 =? 2 ^ Z.log2 s9) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s9 - 1])%zrange && - (mask =? - Z.ones - (Z.log2 s9 - - offset)) && - (0 <=? offset) && - (offset <=? Z.log2 s9) - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add - (Z.log2 s9) - offset)%expr @ - ((##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x10, _) := xv in - x10) - (let (x10, _) := - xv0 in - x10) args5 args3 - args1 - (v - (Compile.reflect x9)) - (let (x10, _) := - xv1 in - x10) - (let (x10, _) := - xv2 in - x10); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.Abs _ - _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.LetIn - _ _ _ _ _ _ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ - _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ - _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ - _ _ _)%expr_pat => None - | _ => None - end;; - match x5 with - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t4 idc4) - x6 => - match x4 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 - Raw.ident.Literal; - args0 <- invert_bind_args idc4 - Raw.ident.Z_cast; - _ <- invert_bind_args idc3 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args3 <- invert_bind_args idc1 - Raw.ident.Literal; - args4 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> (projT1 args3)) -> - s5 -> (projT1 args))%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> (projT1 args3)) -> - s5 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s5 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x7 <- (let - '(r1, r2)%zrange := - range in - fun (s6 xx : Z) - (rshiftr ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s6 =? 2 ^ Z.log2 s6) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s6 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add - (Z.log2 s6) - (- offset))%expr @ - ((##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x7, _) := xv in - x7) - (let (x7, _) := xv0 in - x7) args2 args0 - (v (Compile.reflect x6)) - (let (x7, _) := xv1 in - x7); - Some (Base x7)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ - _ s5 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s5 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc2 Raw.ident.Z_cast; - args0 <- invert_bind_args idc1 Raw.ident.Literal; - args1 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> s2)%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> s2)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s2 ℤ; - fv <- (x4 <- (let - '(r1, r2)%zrange := range in - fun (s3 xx : Z) (ry : zrange) - (y : expr ℤ) => - if - (s3 =? 2 ^ Z.log2 s3) && - (ZRange.normalize ry <=? - r[0 ~> s3 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add (Z.log2 s3) 0)%expr @ - ((##xx)%expr, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x4, _) := xv in x4) - (let (x4, _) := xv0 in x4) args - (v (Compile.reflect x3)); - Some (Base x4)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s2 _ ($_)%expr _ | @expr.App _ _ _ s2 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s2 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s2 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t1 idc1) x3 => + | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4 => match x0 with - | @expr.Ident _ _ _ t2 idc2 => - match x3 with - | (@expr.Ident _ _ _ t3 idc3 @ x5 @ x4)%expr_pat => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.Ident - _ _ _ t7 idc7))%expr_pat => - match x4 with - | @expr.Ident _ _ _ t8 idc8 => - args <- invert_bind_args idc8 - Raw.ident.Literal; - args0 <- invert_bind_args idc7 - Raw.ident.Literal; - args1 <- invert_bind_args idc6 - Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args3 <- invert_bind_args idc4 - Raw.ident.Z_cast; - _ <- invert_bind_args idc3 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc2 - Raw.ident.Literal; - args6 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args7 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted - ((ℤ -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> - (s8 -> (projT1 args0)) -> - (projT1 args)) -> (projT1 args5))%ptype - with - | Some (_, (_, _, _), _)%zrange => - if - type.type_beq base.type - base.type.type_beq - ((ℤ -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> - (s8 -> (projT1 args0)) -> - (projT1 args)) -> (projT1 args5))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s8 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - fv <- (x10 <- (let - '(r1, r2)%zrange := - range in - fun (s9 : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask offset xx : Z) - => - if - (s9 =? 2 ^ Z.log2 s9) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s9 - 1])%zrange && - (mask =? - Z.ones - (Z.log2 s9 - - offset)) && - (0 <=? offset) && - (offset <=? Z.log2 s9) - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add - (Z.log2 s9) - offset)%expr @ - ((##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x10, _) := xv in - x10) args6 args3 - args1 - (v - (Compile.reflect x9)) - (let (x10, _) := - xv0 in - x10) - (let (x10, _) := - xv1 in - x10) - (let (x10, _) := - xv2 in - x10); - Some (Base x10)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.Abs _ - _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.LetIn - _ _ _ _ _ _ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ - _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ - _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ - _ _ _)%expr_pat => None - | _ => None - end;; - match x5 with - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t4 idc4) - x6 => - match x4 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 - Raw.ident.Literal; - args0 <- invert_bind_args idc4 - Raw.ident.Z_cast; - _ <- invert_bind_args idc3 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc2 - Raw.ident.Literal; - args3 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args4 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted - ((ℤ -> ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args4) -> s5 -> (projT1 args)) -> - (projT1 args2))%ptype - with - | Some (_, (_, _), _)%zrange => - if - type.type_beq base.type - base.type.type_beq - ((ℤ -> ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args4) -> - s5 -> (projT1 args)) -> - (projT1 args2))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s5 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args2); - fv <- (x7 <- (let - '(r1, r2)%zrange := - range in - fun (s6 : Z) - (rshiftr ry : zrange) - (y : expr ℤ) - (offset xx : Z) => - if - (s6 =? 2 ^ Z.log2 s6) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s6 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add - (Z.log2 s6) - (- offset))%expr @ - ((##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x7, _) := xv in - x7) args3 args0 - (v (Compile.reflect x6)) - (let (x7, _) := xv0 in - x7) - (let (x7, _) := xv1 in - x7); - Some (Base x7)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ - _ s5 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s5 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc2 Raw.ident.Literal; - args0 <- invert_bind_args idc1 Raw.ident.Z_cast; - args1 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> (projT1 args))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s2 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x4 <- (let - '(r1, r2)%zrange := range in - fun (s3 : Z) (rx : zrange) - (x4 : expr ℤ) (yy : Z) => - if - (s3 =? 2 ^ Z.log2 s3) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s3 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add (Z.log2 s3) 0)%expr @ - (#(Z_cast rx)%expr @ x4, - (##yy)%expr)))%expr_pat - else None) - (let (x4, _) := xv in x4) args0 - (v (Compile.reflect x3)) - (let (x4, _) := xv0 in x4); - Some (Base x4)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4 => - match x4 with - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ @expr.Ident _ _ _ t8 idc8)%expr_pat => - args <- invert_bind_args idc8 Raw.ident.Literal; - args0 <- invert_bind_args idc7 Raw.ident.Literal; - args1 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args3 <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc2 Raw.ident.Z_cast; - args6 <- invert_bind_args idc1 Raw.ident.Z_cast; - args7 <- invert_bind_args idc0 Raw.ident.Literal; + | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) x5 => + match x5 with + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ @expr.Ident _ _ _ t11 + idc11))%expr_pat => + args <- invert_bind_args idc11 Raw.ident.Literal; + args0 <- invert_bind_args idc10 Raw.ident.Z_cast; + args1 <- invert_bind_args idc9 Raw.ident.Literal; + args2 <- invert_bind_args idc8 Raw.ident.Z_cast; + args3 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args5 <- invert_bind_args idc5 Raw.ident.Z_cast; + _ <- invert_bind_args idc4 Raw.ident.Z_shiftl; + args7 <- invert_bind_args idc3 Raw.ident.Z_cast; + args8 <- invert_bind_args idc2 Raw.ident.Z_cast; + args9 <- invert_bind_args idc1 Raw.ident.Literal; + args10 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; match pattern.type.unify_extracted ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> s2) -> - (s9 -> (projT1 args0)) -> (projT1 args))%ptype + (((projT1 args9) -> s3) -> + (s10 -> (projT1 args1)) -> (projT1 args))%ptype with | Some (_, _, (_, _, _))%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> s2) -> - (s9 -> (projT1 args0)) -> (projT1 args))%ptype + (((projT1 args9) -> s3) -> + (s10 -> (projT1 args1)) -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s9 ℤ; + ##(projT2 args9); + v <- type.try_make_transport_cps s3 ℤ; + v0 <- type.try_make_transport_cps s10 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x11 <- (let + fv <- (x14 <- (let '(r1, r2)%zrange := range in - fun (s10 : Z) (rx : zrange) - (x11 : expr ℤ) + fun (rs : zrange) (s13 : Z) + (rx : zrange) (x14 : expr ℤ) (rshiftl rland ry : zrange) (y : expr ℤ) - (mask offset : Z) => + (rmask : zrange) (mask : Z) + (roffset : zrange) + (offset : Z) => if - (s10 =? 2 ^ Z.log2 s10) && + (s13 =? 2 ^ Z.log2 s13) && (ZRange.normalize rland << ZRange.normalize (ZRange.constant offset) <=? @@ -3780,195 +3337,308 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (ZRange.constant mask) <=? ZRange.normalize rland)%zrange && (ZRange.normalize rshiftl <=? - r[0 ~> s10 - 1])%zrange && + r[0 ~> s13 - 1])%zrange && (mask =? - Z.ones (Z.log2 s10 - offset)) && + Z.ones (Z.log2 s13 - offset)) && (0 <=? offset) && - (offset <=? Z.log2 s10) + (offset <=? Z.log2 s13) && + is_bounded_by_bool s13 + (ZRange.normalize rs) && + is_bounded_by_bool mask + (ZRange.normalize rmask) && + is_bounded_by_bool offset + (ZRange.normalize roffset) then Some (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add (Z.log2 s10) + (#(fancy_add (Z.log2 s13) offset)%expr @ - (#(Z_cast rx)%expr @ x11, + (#(Z_cast rx)%expr @ x14, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x11, _) := xv in x11) - args6 (v (Compile.reflect x3)) - args5 args3 args1 - (v0 (Compile.reflect x10)) - (let (x11, _) := xv0 in x11) - (let (x11, _) := xv1 in x11); - Some (Base x11)); + else None) args10 + (let (x14, _) := xv in x14) + args8 (v (Compile.reflect x4)) + args7 args5 args3 + (v0 (Compile.reflect x11)) + args2 + (let (x14, _) := xv0 in x14) + args0 + (let (x14, _) := xv1 in x14); + Some (Base x14)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (@expr.Ident _ _ _ t10 idc10 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ @expr.LetIn _ _ _ _ _ + _ _))%expr_pat => None + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ #(_))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ ($_)%expr)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Abs _ _ _ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ _))) @ + _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _)))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ _ + _ _))) @ _)%expr_pat => None + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ #(_))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ ($_)%expr)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ @expr.Abs _ _ _ _ _ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ (_ @ _))) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.LetIn _ _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ (($_)%expr @ _))) @ + _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Abs _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ (_ @ _ @ _))) @ + _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ @expr.LetIn _ _ _ _ _ _ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ ($_)%expr _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (_ @ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _ @ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ #(_)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _) @ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ #(_)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _)) @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _ @ + | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (($_)%expr @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ (@expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (_ @ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - match x3 with - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ @expr.Ident _ _ _ t8 idc8)%expr_pat => - args <- invert_bind_args idc8 Raw.ident.Literal; - args0 <- invert_bind_args idc7 Raw.ident.Literal; - args1 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args3 <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc2 Raw.ident.Z_cast; - args6 <- invert_bind_args idc1 Raw.ident.Z_cast; - args7 <- invert_bind_args idc0 Raw.ident.Literal; + match x4 with + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ @expr.Ident _ _ _ t11 + idc11))%expr_pat => + args <- invert_bind_args idc11 Raw.ident.Literal; + args0 <- invert_bind_args idc10 Raw.ident.Z_cast; + args1 <- invert_bind_args idc9 Raw.ident.Literal; + args2 <- invert_bind_args idc8 Raw.ident.Z_cast; + args3 <- invert_bind_args idc7 Raw.ident.Z_cast; + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args5 <- invert_bind_args idc5 Raw.ident.Z_cast; + _ <- invert_bind_args idc4 Raw.ident.Z_shiftl; + args7 <- invert_bind_args idc3 Raw.ident.Z_cast; + args8 <- invert_bind_args idc2 Raw.ident.Z_cast; + args9 <- invert_bind_args idc1 Raw.ident.Literal; + args10 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; match pattern.type.unify_extracted ((ℤ -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> - (s9 -> (projT1 args0)) -> (projT1 args)) -> - s3)%ptype + (((projT1 args9) -> + (s10 -> (projT1 args1)) -> (projT1 args)) -> + s4)%ptype with | Some (_, (_, _, _), _)%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> - (s9 -> (projT1 args0)) -> (projT1 args)) -> - s3)%ptype + (((projT1 args9) -> + (s10 -> (projT1 args1)) -> (projT1 args)) -> + s4)%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s9 ℤ; + ##(projT2 args9); + v <- type.try_make_transport_cps s10 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - v0 <- type.try_make_transport_cps s3 ℤ; - fv <- (x11 <- (let + v0 <- type.try_make_transport_cps s4 ℤ; + fv <- (x14 <- (let '(r1, r2)%zrange := range in - fun (s10 : Z) + fun (rs : zrange) (s13 : Z) (rshiftl rland ry : zrange) (y : expr ℤ) - (mask offset : Z) - (rx : zrange) (x11 : expr ℤ) - => + (rmask : zrange) (mask : Z) + (roffset : zrange) + (offset : Z) (rx : zrange) + (x14 : expr ℤ) => if - (s10 =? 2 ^ Z.log2 s10) && + (s13 =? 2 ^ Z.log2 s13) && (ZRange.normalize rland << ZRange.normalize (ZRange.constant offset) <=? @@ -3978,418 +3648,607 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (ZRange.constant mask) <=? ZRange.normalize rland)%zrange && (ZRange.normalize rshiftl <=? - r[0 ~> s10 - 1])%zrange && + r[0 ~> s13 - 1])%zrange && (mask =? - Z.ones (Z.log2 s10 - offset)) && + Z.ones (Z.log2 s13 - offset)) && (0 <=? offset) && - (offset <=? Z.log2 s10) + (offset <=? Z.log2 s13) && + is_bounded_by_bool s13 + (ZRange.normalize rs) && + is_bounded_by_bool mask + (ZRange.normalize rmask) && + is_bounded_by_bool offset + (ZRange.normalize roffset) then Some (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add (Z.log2 s10) + (#(fancy_add (Z.log2 s13) offset)%expr @ - (#(Z_cast rx)%expr @ x11, + (#(Z_cast rx)%expr @ x14, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x11, _) := xv in x11) - args6 args3 args1 - (v (Compile.reflect x10)) - (let (x11, _) := xv0 in x11) - (let (x11, _) := xv1 in x11) - args5 - (v0 (Compile.reflect x4)); - Some (Base x11)); + else None) args10 + (let (x14, _) := xv in x14) + args8 args5 args3 + (v (Compile.reflect x11)) + args2 + (let (x14, _) := xv0 in x14) + args0 + (let (x14, _) := xv1 in x14) + args7 + (v0 (Compile.reflect x5)); + Some (Base x14)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident _ _ - _ t7 idc7)) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (@expr.Ident _ _ _ t10 idc10 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ + (@expr.Ident _ _ _ t10 idc10 @ @expr.LetIn _ _ _ _ _ + _ _))%expr_pat => None + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ #(_))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ t9 + idc9))) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ ($_)%expr)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Abs _ _ _ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ _ _))) @ + _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _)))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ _ _ + _ _))) @ _)%expr_pat => None + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ #(_))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ ($_)%expr)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ @expr.Abs _ _ _ _ _ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ (_ @ _))) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ - (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.LetIn _ _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ (($_)%expr @ _))) @ + _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Abs _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ (_ @ _ @ _))) @ + _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ + (@expr.Ident _ _ _ t7 idc7) x11 @ @expr.LetIn _ _ _ _ _ _ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ ($_)%expr _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (_ @ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _ @ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ #(_)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _) @ + | (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ #(_)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _)) @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _ @ + | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (($_)%expr @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ (@expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (_ @ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - match x4 with - | (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ @expr.Ident _ _ _ - t5 idc5)%expr_pat => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; - args3 <- invert_bind_args idc1 Raw.ident.Z_cast; - args4 <- invert_bind_args idc0 Raw.ident.Literal; + match x5 with + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Ident _ _ _ t7 + idc7))%expr_pat => + args <- invert_bind_args idc7 Raw.ident.Literal; + args0 <- invert_bind_args idc6 Raw.ident.Z_cast; + args1 <- invert_bind_args idc5 Raw.ident.Z_cast; + _ <- invert_bind_args idc4 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc3 Raw.ident.Z_cast; + args4 <- invert_bind_args idc2 Raw.ident.Z_cast; + args5 <- invert_bind_args idc1 Raw.ident.Literal; + args6 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s2) -> s6 -> (projT1 args))%ptype + (((projT1 args5) -> s3) -> s7 -> (projT1 args))%ptype with | Some (_, _, (_, _))%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s2) -> - s6 -> (projT1 args))%ptype + (((projT1 args5) -> s3) -> + s7 -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s6 ℤ; + ##(projT2 args5); + v <- type.try_make_transport_cps s3 ℤ; + v0 <- type.try_make_transport_cps s7 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x8 <- (let - '(r1, r2)%zrange := range in - fun (s7 : Z) (rx : zrange) - (x8 : expr ℤ) - (rshiftr ry : zrange) - (y : expr ℤ) (offset : Z) => - if - (s7 =? 2 ^ Z.log2 s7) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant offset) <=? - ZRange.normalize rshiftr)%zrange && - (ZRange.normalize rshiftr <=? - r[0 ~> s7 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add (Z.log2 s7) - (- offset))%expr @ - (#(Z_cast rx)%expr @ x8, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x8, _) := xv in x8) args3 - (v (Compile.reflect x3)) args2 - args0 (v0 (Compile.reflect x7)) - (let (x8, _) := xv0 in x8); - Some (Base x8)); + fv <- (x10 <- (let + '(r1, r2)%zrange := range in + fun (rs : zrange) (s9 : Z) + (rx : zrange) (x10 : expr ℤ) + (rshiftr ry : zrange) + (y : expr ℤ) + (roffset : zrange) + (offset : Z) => + if + (s9 =? 2 ^ Z.log2 s9) && + (ZRange.normalize ry >> + ZRange.normalize + (ZRange.constant offset) <=? + ZRange.normalize rshiftr)%zrange && + (ZRange.normalize rshiftr <=? + r[0 ~> s9 - 1])%zrange && + is_bounded_by_bool s9 + (ZRange.normalize rs) && + is_bounded_by_bool offset + (ZRange.normalize roffset) + then + Some + (#(Z_cast2 (r1, r2))%expr @ + (#(fancy_add (Z.log2 s9) + (- offset))%expr @ + (#(Z_cast rx)%expr @ x10, + #(Z_cast ry)%expr @ y)))%expr_pat + else None) args6 + (let (x10, _) := xv in x10) + args4 (v (Compile.reflect x4)) + args3 args1 + (v0 (Compile.reflect x8)) + args0 + (let (x10, _) := xv0 in x10); + Some (Base x10)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _))%expr_pat => None + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ ($_)%expr _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ (@expr.Abs _ _ _ _ _ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ (_ @ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _ @ + | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - match x3 with - | (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ @expr.Ident _ _ _ - t5 idc5)%expr_pat => - args <- invert_bind_args idc5 Raw.ident.Literal; - args0 <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; - args3 <- invert_bind_args idc1 Raw.ident.Z_cast; - args4 <- invert_bind_args idc0 Raw.ident.Literal; + match x4 with + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Ident _ _ _ t7 + idc7))%expr_pat => + args <- invert_bind_args idc7 Raw.ident.Literal; + args0 <- invert_bind_args idc6 Raw.ident.Z_cast; + args1 <- invert_bind_args idc5 Raw.ident.Z_cast; + _ <- invert_bind_args idc4 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc3 Raw.ident.Z_cast; + args4 <- invert_bind_args idc2 Raw.ident.Z_cast; + args5 <- invert_bind_args idc1 Raw.ident.Literal; + args6 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; match pattern.type.unify_extracted ((ℤ -> ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args4) -> s6 -> (projT1 args)) -> s3)%ptype + (((projT1 args5) -> s7 -> (projT1 args)) -> s4)%ptype with | Some (_, (_, _), _)%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args4) -> s6 -> (projT1 args)) -> - s3)%ptype + (((projT1 args5) -> s7 -> (projT1 args)) -> + s4)%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s6 ℤ; + ##(projT2 args5); + v <- type.try_make_transport_cps s7 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - v0 <- type.try_make_transport_cps s3 ℤ; - fv <- (x8 <- (let - '(r1, r2)%zrange := range in - fun (s7 : Z) - (rshiftr ry : zrange) - (y : expr ℤ) (offset : Z) - (rx : zrange) (x8 : expr ℤ) - => - if - (s7 =? 2 ^ Z.log2 s7) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant offset) <=? - ZRange.normalize rshiftr)%zrange && - (ZRange.normalize rshiftr <=? - r[0 ~> s7 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add (Z.log2 s7) - (- offset))%expr @ - (#(Z_cast rx)%expr @ x8, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x8, _) := xv in x8) args3 - args0 (v (Compile.reflect x7)) - (let (x8, _) := xv0 in x8) - args2 (v0 (Compile.reflect x4)); - Some (Base x8)); + v0 <- type.try_make_transport_cps s4 ℤ; + fv <- (x10 <- (let + '(r1, r2)%zrange := range in + fun (rs : zrange) (s9 : Z) + (rshiftr ry : zrange) + (y : expr ℤ) + (roffset : zrange) + (offset : Z) (rx : zrange) + (x10 : expr ℤ) => + if + (s9 =? 2 ^ Z.log2 s9) && + (ZRange.normalize ry >> + ZRange.normalize + (ZRange.constant offset) <=? + ZRange.normalize rshiftr)%zrange && + (ZRange.normalize rshiftr <=? + r[0 ~> s9 - 1])%zrange && + is_bounded_by_bool s9 + (ZRange.normalize rs) && + is_bounded_by_bool offset + (ZRange.normalize roffset) + then + Some + (#(Z_cast2 (r1, r2))%expr @ + (#(fancy_add (Z.log2 s9) + (- offset))%expr @ + (#(Z_cast rx)%expr @ x10, + #(Z_cast ry)%expr @ y)))%expr_pat + else None) args6 + (let (x10, _) := xv in x10) + args4 args1 + (v (Compile.reflect x8)) args0 + (let (x10, _) := xv0 in x10) + args3 + (v0 (Compile.reflect x5)); + Some (Base x10)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ + _))%expr_pat => None + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ + (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ ($_)%expr _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ (@expr.Abs _ _ _ _ _ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ (_ @ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)%expr_pat => None - | (@expr.Ident _ _ _ t3 idc3 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _ @ + | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - args <- invert_bind_args idc2 Raw.ident.Z_cast; - args0 <- invert_bind_args idc1 Raw.ident.Z_cast; - args1 <- invert_bind_args idc0 Raw.ident.Literal; + args <- invert_bind_args idc3 Raw.ident.Z_cast; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> s3)%ptype + (((projT1 args1) -> s3) -> s4)%ptype with | Some (_, _, _)%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> s3)%ptype + (((projT1 args1) -> s3) -> s4)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args1); - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s3 ℤ; - fv <- (x5 <- (let + v <- type.try_make_transport_cps s3 ℤ; + v0 <- type.try_make_transport_cps s4 ℤ; + fv <- (x6 <- (let '(r1, r2)%zrange := range in - fun (s4 : Z) (rx : zrange) - (x5 : expr ℤ) (ry : zrange) - (y : expr ℤ) => + fun (rs : zrange) (s5 : Z) + (rx : zrange) (x6 : expr ℤ) + (ry : zrange) (y : expr ℤ) => if - (s4 =? 2 ^ Z.log2 s4) && + (s5 =? 2 ^ Z.log2 s5) && (ZRange.normalize ry <=? - r[0 ~> s4 - 1])%zrange + r[0 ~> s5 - 1])%zrange && + is_bounded_by_bool s5 + (ZRange.normalize rs) then Some (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_add (Z.log2 s4) 0)%expr @ - (#(Z_cast rx)%expr @ x5, + (#(fancy_add (Z.log2 s5) 0)%expr @ + (#(Z_cast rx)%expr @ x6, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x5, _) := xv in x5) args0 - (v (Compile.reflect x3)) args - (v0 (Compile.reflect x4)); - Some (Base x5)); + else None) args2 + (let (x6, _) := xv in x6) args0 + (v (Compile.reflect x4)) args + (v0 (Compile.reflect x5)); + Some (Base x6)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ + | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s2 _ ($_)%expr _ | @expr.App _ _ _ s2 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s2 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s2 _ + | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; match x2 with - | @expr.Ident _ _ _ t0 idc0 => + | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => match x1 with - | @expr.Ident _ _ _ t1 idc1 => + | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4 => match x0 with - | @expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t2 idc2) x3 => - match x3 with - | (@expr.Ident _ _ _ t3 idc3 @ x5 @ x4)%expr_pat => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.Ident - _ _ _ t7 idc7))%expr_pat => - match x4 with - | @expr.Ident _ _ _ t8 idc8 => - args <- invert_bind_args idc8 + | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) x5 => + match x5 with + | (@expr.Ident _ _ _ t4 idc4 @ x7 @ x6)%expr_pat => + match x7 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Ident _ _ _ + t9 idc9)))%expr_pat => + match x6 with + | (@expr.Ident _ _ _ t10 idc10 @ @expr.Ident _ + _ _ t11 idc11)%expr_pat => + args <- invert_bind_args idc11 Raw.ident.Literal; - args0 <- invert_bind_args idc7 + args0 <- invert_bind_args idc10 + Raw.ident.Z_cast; + args1 <- invert_bind_args idc9 Raw.ident.Literal; - args1 <- invert_bind_args idc6 + args2 <- invert_bind_args idc8 + Raw.ident.Z_cast; + args3 <- invert_bind_args idc7 Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args3 <- invert_bind_args idc4 + _ <- invert_bind_args idc6 Raw.ident.Z_land; + args5 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 + _ <- invert_bind_args idc4 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc2 + args7 <- invert_bind_args idc3 Raw.ident.Z_cast; - args6 <- invert_bind_args idc1 - Raw.ident.Literal; - args7 <- invert_bind_args idc0 + args8 <- invert_bind_args idc2 + Raw.ident.Z_cast; + args9 <- invert_bind_args idc1 Raw.ident.Literal; + args10 <- invert_bind_args idc0 + Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_sub_get_borrow; match pattern.type.unify_extracted ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> (projT1 args6)) -> - (s8 -> (projT1 args0)) -> + (((projT1 args9) -> s3) -> + (s10 -> (projT1 args1)) -> (projT1 args))%ptype with | Some (_, _, (_, _, _))%zrange => @@ -4397,33 +4256,38 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> (projT1 args6)) -> - (s8 -> (projT1 args0)) -> + (((projT1 args9) -> s3) -> + (s10 -> (projT1 args1)) -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args7); + ##(projT2 args9); + v <- type.try_make_transport_cps s3 ℤ; + v0 <- type.try_make_transport_cps s10 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args6); - v <- type.try_make_transport_cps s8 ℤ; + ##(projT2 args1); xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify - pattern.ident.Literal ##(projT2 args); - fv <- (x10 <- (let + fv <- (x14 <- (let '(r1, r2)%zrange := range in - fun (s9 xx : Z) + fun (rs : zrange) + (s13 : Z) + (rx : zrange) + (x14 : expr ℤ) (rshiftl rland ry : zrange) (y : expr ℤ) - (mask offset : Z) => + (rmask : zrange) + (mask : Z) + (roffset : zrange) + (offset : Z) => if - (s9 =? 2 ^ Z.log2 s9) && + (s13 =? + 2 ^ Z.log2 s13) && (ZRange.normalize rland << ZRange.normalize @@ -4433,7 +4297,7 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with rshiftl)%zrange && (ZRange.normalize rshiftl <=? - r[0 ~> s9 - 1])%zrange && + r[0 ~> s13 - 1])%zrange && (ZRange.normalize ry &' ZRange.normalize (ZRange.constant @@ -4442,2988 +4306,416 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with rland)%zrange && (mask =? Z.ones - (Z.log2 s9 - + (Z.log2 s13 - offset)) && (0 <=? offset) && - (offset <=? Z.log2 s9) + (offset <=? + Z.log2 s13) && + is_bounded_by_bool + s13 + (ZRange.normalize + rs) && + is_bounded_by_bool + mask + (ZRange.normalize + rmask) && + is_bounded_by_bool + offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_sub - (Z.log2 s9) + (Z.log2 s13) offset)%expr @ - ((##xx)%expr, + (#(Z_cast rx)%expr @ + x14, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x10, _) := xv in - x10) - (let (x10, _) := - xv0 in - x10) args5 args3 - args1 + else None) args10 + (let (x14, _) := xv in + x14) args8 (v - (Compile.reflect x9)) - (let (x10, _) := + (Compile.reflect x4)) + args7 args5 args3 + (v0 + (Compile.reflect + x11)) args2 + (let (x14, _) := + xv0 in + x14) args0 + (let (x14, _) := xv1 in - x10) - (let (x10, _) := - xv2 in - x10); - Some (Base x10)); + x14); + Some (Base x14)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t10 idc10 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t10 idc10 @ @expr.Abs _ _ + _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t10 idc10 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t10 idc10 @ @expr.LetIn _ + _ _ _ _ _ _)%expr_pat => None | _ => None end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.Abs _ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ ($_)%expr)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.Abs _ _ _ _ + _ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ (_ @ _))))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Ident _ _ _ t8 idc8 @ @expr.LetIn _ _ _ + _ _ _ _)))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 - _ (@expr.Ident _ _ _ t6 idc6) x9 @ @expr.LetIn + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (($_)%expr @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.Abs _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ (_ @ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 + _ (@expr.Ident _ _ _ t7 idc7) x11 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s8 + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | _ => None end;; - match x5 with - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t4 idc4) - x6 => - match x4 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 + match x7 with + | @expr.App _ _ _ s7 _ (@expr.Ident _ _ _ t5 idc5) + x8 => + match x6 with + | (@expr.Ident _ _ _ t6 idc6 @ @expr.Ident _ _ + _ t7 idc7)%expr_pat => + args <- invert_bind_args idc7 Raw.ident.Literal; - args0 <- invert_bind_args idc4 + args0 <- invert_bind_args idc6 + Raw.ident.Z_cast; + args1 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 + _ <- invert_bind_args idc4 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc2 + args3 <- invert_bind_args idc3 Raw.ident.Z_cast; - args3 <- invert_bind_args idc1 - Raw.ident.Literal; - args4 <- invert_bind_args idc0 + args4 <- invert_bind_args idc2 + Raw.ident.Z_cast; + args5 <- invert_bind_args idc1 Raw.ident.Literal; + args6 <- invert_bind_args idc0 + Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_sub_get_borrow; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> (projT1 args3)) -> - s5 -> (projT1 args))%ptype + (((projT1 args5) -> s3) -> + s7 -> (projT1 args))%ptype with | Some (_, _, (_, _))%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> (projT1 args3)) -> - s5 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s5 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x7 <- (let - '(r1, r2)%zrange := - range in - fun (s6 xx : Z) - (rshiftr ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s6 =? 2 ^ Z.log2 s6) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s6 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_sub - (Z.log2 s6) - (- offset))%expr @ - ((##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x7, _) := xv in - x7) - (let (x7, _) := xv0 in - x7) args2 args0 - (v (Compile.reflect x6)) - (let (x7, _) := xv1 in - x7); - Some (Base x7)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ - _ s5 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s5 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc2 Raw.ident.Z_cast; - args0 <- invert_bind_args idc1 Raw.ident.Literal; - args1 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_sub_get_borrow; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> s2)%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> (projT1 args0)) -> s2)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s2 ℤ; - fv <- (x4 <- (let - '(r1, r2)%zrange := range in - fun (s3 xx : Z) (ry : zrange) - (y : expr ℤ) => - if - (s3 =? 2 ^ Z.log2 s3) && - (ZRange.normalize ry <=? - r[0 ~> s3 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_sub (Z.log2 s3) 0)%expr @ - ((##xx)%expr, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x4, _) := xv in x4) - (let (x4, _) := xv0 in x4) args - (v (Compile.reflect x3)); - Some (Base x4)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s2 _ ($_)%expr _ | @expr.App _ _ _ s2 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s2 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s2 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t1 idc1) x3 => - match x0 with - | @expr.Ident _ _ _ t2 idc2 => - args <- invert_bind_args idc2 Raw.ident.Literal; - args0 <- invert_bind_args idc1 Raw.ident.Z_cast; - args1 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc Raw.ident.Z_sub_get_borrow; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> (projT1 args))%ptype - with - | Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s2 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x4 <- (let - '(r1, r2)%zrange := range in - fun (s3 : Z) (rx : zrange) - (x4 : expr ℤ) (yy : Z) => - if - (s3 =? 2 ^ Z.log2 s3) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s3 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_sub (Z.log2 s3) 0)%expr @ - (#(Z_cast rx)%expr @ x4, - (##yy)%expr)))%expr_pat - else None) - (let (x4, _) := xv in x4) args0 - (v (Compile.reflect x3)) - (let (x4, _) := xv0 in x4); - Some (Base x4)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4 => - match x4 with - | (@expr.Ident _ _ _ t3 idc3 @ x6 @ x5)%expr_pat => - match x6 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Ident - _ _ _ t7 idc7))%expr_pat => - match x5 with - | @expr.Ident _ _ _ t8 idc8 => - args <- invert_bind_args idc8 - Raw.ident.Literal; - args0 <- invert_bind_args idc7 - Raw.ident.Literal; - args1 <- invert_bind_args idc6 - Raw.ident.Z_cast; - _ <- invert_bind_args idc5 Raw.ident.Z_land; - args3 <- invert_bind_args idc4 - Raw.ident.Z_cast; - _ <- invert_bind_args idc3 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args6 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args7 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_get_borrow; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> s2) -> - (s9 -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, (_, _, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - ((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args7) -> s2) -> - (s9 -> (projT1 args0)) -> - (projT1 args))%ptype + (((projT1 args5) -> s3) -> + s7 -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s9 ℤ; + ##(projT2 args5); + v <- type.try_make_transport_cps s3 ℤ; + v0 <- type.try_make_transport_cps s7 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify - pattern.ident.Literal ##(projT2 args); - fv <- (x11 <- (let + fv <- (x10 <- (let '(r1, r2)%zrange := range in - fun (s10 : Z) + fun (rs : zrange) + (s9 : Z) (rx : zrange) - (x11 : expr ℤ) - (rshiftl rland + (x10 : expr ℤ) + (rshiftr ry : zrange) (y : expr ℤ) - (mask offset : Z) => + (roffset : zrange) + (offset : Z) => if - (s10 =? - 2 ^ Z.log2 s10) && - (ZRange.normalize - rland << + (s9 =? 2 ^ Z.log2 s9) && + (ZRange.normalize ry >> ZRange.normalize (ZRange.constant offset) <=? ZRange.normalize - rshiftl)%zrange && + rshiftr)%zrange && (ZRange.normalize - rshiftl <=? - r[0 ~> s10 - 1])%zrange && - (ZRange.normalize ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s10 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s10) + rshiftr <=? + r[0 ~> s9 - 1])%zrange && + is_bounded_by_bool s9 + (ZRange.normalize + rs) && + is_bounded_by_bool + offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_sub - (Z.log2 s10) - offset)%expr @ + (Z.log2 s9) + (- offset))%expr @ (#(Z_cast rx)%expr @ - x11, + x10, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x11, _) := xv in - x11) args6 + else None) args6 + (let (x10, _) := xv in + x10) args4 (v - (Compile.reflect x3)) - args5 args3 args1 + (Compile.reflect x4)) + args3 args1 (v0 - (Compile.reflect - x10)) - (let (x11, _) := + (Compile.reflect x8)) + args0 + (let (x10, _) := xv0 in - x11) - (let (x11, _) := - xv1 in - x11); - Some (Base x11)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (@expr.Ident _ _ _ t6 idc6) x10 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Abs _ - _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (@expr.Ident _ _ _ t6 idc6) x10 @ (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.LetIn - _ _ _ _ _ _ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 - _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ - _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ - _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ - _ _ _)%expr_pat => None - | _ => None - end;; - match x6 with - | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t4 idc4) - x7 => - match x5 with - | @expr.Ident _ _ _ t5 idc5 => - args <- invert_bind_args idc5 - Raw.ident.Literal; - args0 <- invert_bind_args idc4 - Raw.ident.Z_cast; - _ <- invert_bind_args idc3 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args3 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args4 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_get_borrow; - match - pattern.type.unify_extracted - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s2) -> - s6 -> (projT1 args))%ptype - with - | Some (_, _, (_, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - ((ℤ -> ℤ) -> ℤ -> ℤ)%ptype - (((projT1 args4) -> s2) -> - s6 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s6 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x8 <- (let - '(r1, r2)%zrange := - range in - fun (s7 : Z) - (rx : zrange) - (x8 : expr ℤ) - (rshiftr ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s7 =? 2 ^ Z.log2 s7) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s7 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_sub - (Z.log2 s7) - (- offset))%expr @ - (#(Z_cast rx)%expr @ - x8, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x8, _) := xv in - x8) args3 - (v (Compile.reflect x3)) - args2 args0 - (v0 - (Compile.reflect x7)) - (let (x8, _) := xv0 in - x8); - Some (Base x8)); + x10); + Some (Base x10)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ + _ _ _)%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ + _ _ _ _ _)%expr_pat => None | _ => None end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ - _ s6 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ - _ s6 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ + | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App _ _ + _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ + _ s7 _ (_ @ _)%expr_pat _ | @expr.App _ _ _ s7 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end | _ => None end;; - args <- invert_bind_args idc2 Raw.ident.Z_cast; - args0 <- invert_bind_args idc1 Raw.ident.Z_cast; - args1 <- invert_bind_args idc0 Raw.ident.Literal; + args <- invert_bind_args idc3 Raw.ident.Z_cast; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_sub_get_borrow; match pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> s3)%ptype + (((projT1 args1) -> s3) -> s4)%ptype with | Some (_, _, _)%zrange => if type.type_beq base.type base.type.type_beq ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s2) -> s3)%ptype + (((projT1 args1) -> s3) -> s4)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args1); - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s3 ℤ; - fv <- (x5 <- (let + v <- type.try_make_transport_cps s3 ℤ; + v0 <- type.try_make_transport_cps s4 ℤ; + fv <- (x6 <- (let '(r1, r2)%zrange := range in - fun (s4 : Z) (rx : zrange) - (x5 : expr ℤ) (ry : zrange) - (y : expr ℤ) => + fun (rs : zrange) (s5 : Z) + (rx : zrange) (x6 : expr ℤ) + (ry : zrange) (y : expr ℤ) => if - (s4 =? 2 ^ Z.log2 s4) && + (s5 =? 2 ^ Z.log2 s5) && (ZRange.normalize ry <=? - r[0 ~> s4 - 1])%zrange + r[0 ~> s5 - 1])%zrange && + is_bounded_by_bool s5 + (ZRange.normalize rs) then Some (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_sub (Z.log2 s4) 0)%expr @ - (#(Z_cast rx)%expr @ x5, + (#(fancy_sub (Z.log2 s5) 0)%expr @ + (#(Z_cast rx)%expr @ x6, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x5, _) := xv in x5) args0 - (v (Compile.reflect x3)) args - (v0 (Compile.reflect x4)); - Some (Base x5)); + else None) args2 + (let (x6, _) := xv in x6) args0 + (v (Compile.reflect x4)) args + (v0 (Compile.reflect x5)); + Some (Base x6)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ + | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s2 _ ($_)%expr _ | @expr.App _ _ _ s2 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s2 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s2 _ + | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end | (@expr.Ident _ _ _ t idc @ x3 @ x2 @ x1 @ x0)%expr_pat => match x3 with - | @expr.Ident _ _ _ t0 idc0 => + | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => match x2 with - | @expr.Ident _ _ _ t1 idc1 => + | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5 => match x1 with - | @expr.Ident _ _ _ t2 idc2 => - match x0 with - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t3 idc3) - x4 => - match x4 with - | (@expr.Ident _ _ _ t4 idc4 @ x6 @ x5)%expr_pat => - match x6 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x5 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 - Raw.ident.Z_cast; - _ <- invert_bind_args idc6 - Raw.ident.Z_land; - args3 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 - Raw.ident.Literal; - args7 <- invert_bind_args idc1 - Raw.ident.Literal; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> - (projT1 args6)) -> - (s9 -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, (_, _, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> - (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> - (projT1 args7)) -> - (projT1 args6)) -> - (s9 -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args8); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args7); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args6); - v <- type.try_make_transport_cps s9 ℤ; - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv3 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x11 <- (let - '(r1, r2)%zrange := - range in - fun - (s10 cc xx : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask - offset : Z) => - if - (s10 =? - 2 ^ Z.log2 s10) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s10 - 1])%zrange && - (ZRange.normalize - ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s10 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s10) - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 - s10) - offset)%expr @ - ((##cc)%expr, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x11, _) := - xv in - x11) - (let (x11, _) := - xv0 in - x11) - (let (x11, _) := - xv1 in - x11) args5 args3 - args1 - (v - (Compile.reflect - x10)) - (let (x11, _) := - xv2 in - x11) - (let (x11, _) := - xv3 in - x11); - Some (Base x11)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ - _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ - _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | _ => None - end;; - match x6 with - | @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t5 idc5) x7 => - match x5 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 - Raw.ident.Literal; - args0 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 - Raw.ident.Literal; - args4 <- invert_bind_args idc1 - Raw.ident.Literal; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> - (projT1 args3)) -> - s6 -> (projT1 args))%ptype - with - | Some (_, _, _, (_, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> - (projT1 args4)) -> - (projT1 args3)) -> - s6 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s6 ℤ; - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x8 <- (let - '(r1, r2)%zrange := - range in - fun (s7 cc xx : Z) - (rshiftr - ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s7 =? - 2 ^ Z.log2 s7) && - (ZRange.normalize - ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s7 - 1])%zrange - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s7) - (- offset))%expr @ - ((##cc)%expr, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x8, _) := - xv in - x8) - (let (x8, _) := - xv0 in - x8) - (let (x8, _) := - xv1 in - x8) args2 args0 - (v - (Compile.reflect - x7)) - (let (x8, _) := - xv2 in - x8); - Some (Base x8)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App - _ _ _ s6 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s6 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s6 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> s3)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> s3)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s3 ℤ; - fv <- (x5 <- (let - '(r1, r2)%zrange := range in - fun (s4 cc xx : Z) - (ry : zrange) (y : expr ℤ) => - if - (s4 =? 2 ^ Z.log2 s4) && - (ZRange.normalize ry <=? - r[0 ~> s4 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc (Z.log2 s4) 0)%expr @ - ((##cc)%expr, (##xx)%expr, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x5, _) := xv in x5) - (let (x5, _) := xv0 in x5) - (let (x5, _) := xv1 in x5) args - (v (Compile.reflect x4)); - Some (Base x5)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4 => - match x0 with - | @expr.Ident _ _ _ t3 idc3 => - match x4 with - | (@expr.Ident _ _ _ t4 idc4 @ x6 @ x5)%expr_pat => - match x6 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x5 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 - Raw.ident.Z_cast; - _ <- invert_bind_args idc6 - Raw.ident.Z_land; - args3 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 - Raw.ident.Literal; - args6 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 - Raw.ident.Literal; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> - (s9 -> (projT1 args0)) -> - (projT1 args)) -> (projT1 args5))%ptype - with - | Some (_, _, (_, _, _), _)%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> - ℤ)%ptype - ((((projT1 args8) -> - (projT1 args7)) -> - (s9 -> (projT1 args0)) -> - (projT1 args)) -> - (projT1 args5))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args8); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s9 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - xv3 <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - fv <- (x11 <- (let - '(r1, r2)%zrange := - range in - fun (s10 cc : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask offset - xx : Z) => - if - (s10 =? - 2 ^ Z.log2 s10) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s10 - 1])%zrange && - (ZRange.normalize - ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s10 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s10) - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 - s10) - offset)%expr @ - ((##cc)%expr, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x11, _) := - xv in - x11) - (let (x11, _) := - xv0 in - x11) args6 args3 - args1 - (v - (Compile.reflect - x10)) - (let (x11, _) := - xv1 in - x11) - (let (x11, _) := - xv2 in - x11) - (let (x11, _) := - xv3 in - x11); - Some (Base x11)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ - _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ - _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | _ => None - end;; - match x6 with - | @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t5 idc5) x7 => - match x5 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 - Raw.ident.Literal; - args0 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 - Raw.ident.Literal; - args3 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 - Raw.ident.Literal; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> - s6 -> (projT1 args)) -> - (projT1 args2))%ptype - with - | Some (_, _, (_, _), _)%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> - (projT1 args4)) -> - s6 -> (projT1 args)) -> - (projT1 args2))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s6 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args2); - fv <- (x8 <- (let - '(r1, r2)%zrange := - range in - fun (s7 cc : Z) - (rshiftr - ry : zrange) - (y : expr ℤ) - (offset xx : Z) - => - if - (s7 =? - 2 ^ Z.log2 s7) && - (ZRange.normalize - ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s7 - 1])%zrange - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s7) - (- offset))%expr @ - ((##cc)%expr, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x8, _) := - xv in - x8) - (let (x8, _) := - xv0 in - x8) args3 args0 - (v - (Compile.reflect - x7)) - (let (x8, _) := - xv1 in - x8) - (let (x8, _) := - xv2 in - x8); - Some (Base x8)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App - _ _ _ s6 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s6 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s6 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s3 ℤ; - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x5 <- (let - '(r1, r2)%zrange := range in - fun (s4 cc : Z) (rx : zrange) - (x5 : expr ℤ) (yy : Z) => - if - (s4 =? 2 ^ Z.log2 s4) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s4 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc (Z.log2 s4) 0)%expr @ - ((##cc)%expr, - #(Z_cast rx)%expr @ x5, - (##yy)%expr)))%expr_pat - else None) - (let (x5, _) := xv in x5) - (let (x5, _) := xv0 in x5) - args0 (v (Compile.reflect x4)) - (let (x5, _) := xv1 in x5); - Some (Base x5)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) - x5 => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Ident _ _ - _ t9 idc9)%expr_pat => - args <- invert_bind_args idc9 Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 Raw.ident.Z_cast; - _ <- invert_bind_args idc6 Raw.ident.Z_land; - args3 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 - Raw.ident.Literal; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> s3) -> - (s10 -> (projT1 args0)) -> (projT1 args))%ptype - with - | Some (_, _, _, (_, _, _))%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> - s3) -> - (s10 -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args8); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s10 ℤ; - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x12 <- (let - '(r1, r2)%zrange := range - in - fun (s11 cc : Z) - (rx : zrange) - (x12 : expr ℤ) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask offset : Z) => - if - (s11 =? 2 ^ Z.log2 s11) && - (ZRange.normalize rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize rshiftl)%zrange && - (ZRange.normalize rshiftl <=? - r[0 ~> s11 - 1])%zrange && - (ZRange.normalize ry &' - ZRange.normalize - (ZRange.constant mask) <=? - ZRange.normalize rland)%zrange && - (mask =? - Z.ones - (Z.log2 s11 - offset)) && - (0 <=? offset) && - (offset <=? Z.log2 s11) - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s11) - offset)%expr @ - ((##cc)%expr, - #(Z_cast rx)%expr @ - x12, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x12, _) := xv in x12) - (let (x12, _) := xv0 in - x12) args6 - (v (Compile.reflect x4)) - args5 args3 args1 - (v0 (Compile.reflect x11)) - (let (x12, _) := xv1 in - x12) - (let (x12, _) := xv2 in - x12); - Some (Base x12)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - ($_)%expr)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Abs _ _ _ _ _ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - (_ @ _))) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.LetIn _ _ _ _ _ _ _)) @ _)%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ ($_)%expr _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (_ @ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ - _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ - _ _ _ _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ - _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ - _ _ _) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ - _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ - _ _ _ @ _)%expr_pat => None - | _ => None - end;; - match x4 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Ident _ _ - _ t9 idc9)%expr_pat => - args <- invert_bind_args idc9 Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 Raw.ident.Z_cast; - _ <- invert_bind_args idc6 Raw.ident.Z_land; - args3 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 - Raw.ident.Literal; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> - (s10 -> (projT1 args0)) -> (projT1 args)) -> - s4)%ptype - with - | Some (_, _, (_, _, _), _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> - (s10 -> (projT1 args0)) -> - (projT1 args)) -> s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args8); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s10 ℤ; - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify pattern.ident.Literal - ##(projT2 args); - v0 <- type.try_make_transport_cps s4 ℤ; - fv <- (x12 <- (let - '(r1, r2)%zrange := range - in - fun (s11 cc : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask offset : Z) - (rx : zrange) - (x12 : expr ℤ) => - if - (s11 =? 2 ^ Z.log2 s11) && - (ZRange.normalize rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize rshiftl)%zrange && - (ZRange.normalize rshiftl <=? - r[0 ~> s11 - 1])%zrange && - (ZRange.normalize ry &' - ZRange.normalize - (ZRange.constant mask) <=? - ZRange.normalize rland)%zrange && - (mask =? - Z.ones - (Z.log2 s11 - offset)) && - (0 <=? offset) && - (offset <=? Z.log2 s11) - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s11) - offset)%expr @ - ((##cc)%expr, - #(Z_cast rx)%expr @ - x12, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x12, _) := xv in x12) - (let (x12, _) := xv0 in - x12) args6 args3 args1 - (v (Compile.reflect x11)) - (let (x12, _) := xv1 in - x12) - (let (x12, _) := xv2 in - x12) args5 - (v0 (Compile.reflect x5)); - Some (Base x12)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - ($_)%expr)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Abs _ _ _ _ _ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - (_ @ _))) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.LetIn _ _ _ _ _ _ _)) @ _)%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ ($_)%expr _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (_ @ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ - _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ - _ _ _ _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ - _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _)) @ - _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ - _ _ _) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ - _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ - _ _ _ @ _)%expr_pat => None - | _ => None - end;; - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.Ident _ _ - _ t6 idc6)%expr_pat => - args <- invert_bind_args idc6 Raw.ident.Literal; - args0 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 - Raw.ident.Literal; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> s3) -> - s7 -> (projT1 args))%ptype - with - | Some (_, _, _, (_, _))%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> - s3) -> s7 -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args5); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s7 ℤ; - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x9 <- (let - '(r1, r2)%zrange := range in - fun (s8 cc : Z) - (rx : zrange) - (x9 : expr ℤ) - (rshiftr ry : zrange) - (y : expr ℤ) (offset : Z) - => - if - (s8 =? 2 ^ Z.log2 s8) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant offset) <=? - ZRange.normalize rshiftr)%zrange && - (ZRange.normalize rshiftr <=? - r[0 ~> s8 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s8) - (- offset))%expr @ - ((##cc)%expr, - #(Z_cast rx)%expr @ x9, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x9, _) := xv in x9) - (let (x9, _) := xv0 in x9) - args3 - (v (Compile.reflect x4)) - args2 args0 - (v0 (Compile.reflect x8)) - (let (x9, _) := xv1 in x9); - Some (Base x9)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - ($_)%expr _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Abs _ _ _ _ _ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (_ @ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.LetIn _ _ _ _ _ _ _) _ @ _)%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ - _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ - _ _ _ @ _)%expr_pat => None - | _ => None - end;; - match x4 with - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.Ident _ _ - _ t6 idc6)%expr_pat => - args <- invert_bind_args idc6 Raw.ident.Literal; - args0 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 - Raw.ident.Literal; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> - s7 -> (projT1 args)) -> s4)%ptype - with - | Some (_, _, (_, _), _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> - s7 -> (projT1 args)) -> s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args5); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s7 ℤ; - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - v0 <- type.try_make_transport_cps s4 ℤ; - fv <- (x9 <- (let - '(r1, r2)%zrange := range in - fun (s8 cc : Z) - (rshiftr ry : zrange) - (y : expr ℤ) (offset : Z) - (rx : zrange) - (x9 : expr ℤ) => - if - (s8 =? 2 ^ Z.log2 s8) && - (ZRange.normalize ry >> - ZRange.normalize - (ZRange.constant offset) <=? - ZRange.normalize rshiftr)%zrange && - (ZRange.normalize rshiftr <=? - r[0 ~> s8 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s8) - (- offset))%expr @ - ((##cc)%expr, - #(Z_cast rx)%expr @ x9, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x9, _) := xv in x9) - (let (x9, _) := xv0 in x9) - args3 args0 - (v (Compile.reflect x8)) - (let (x9, _) := xv1 in x9) - args2 - (v0 (Compile.reflect x5)); - Some (Base x9)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - ($_)%expr _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.Abs _ _ _ _ _ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (_ @ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s7 _ - (@expr.LetIn _ _ _ _ _ _ _) _ @ _)%expr_pat => - None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ - _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ - _ _ _ @ _)%expr_pat => None - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - s4)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - fv <- (x6 <- (let - '(r1, r2)%zrange := range in - fun (s5 cc : Z) (rx : zrange) - (x6 : expr ℤ) (ry : zrange) - (y : expr ℤ) => - if - (s5 =? 2 ^ Z.log2 s5) && - (ZRange.normalize ry <=? - r[0 ~> s5 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc (Z.log2 s5) 0)%expr @ - ((##cc)%expr, - #(Z_cast rx)%expr @ x6, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x6, _) := xv in x6) - (let (x6, _) := xv0 in x6) - args0 (v (Compile.reflect x4)) - args (v0 (Compile.reflect x5)); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4 => - match x1 with - | @expr.Ident _ _ _ t2 idc2 => - match x0 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x5 <- (let - '(r1, r2)%zrange := range in - fun (s4 : Z) (rc : zrange) - (c : expr ℤ) (xx yy : Z) => - if - (s4 =? 2 ^ Z.log2 s4) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s4 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc (Z.log2 s4) 0)%expr @ - (#(Z_cast rc)%expr @ c, - (##xx)%expr, (##yy)%expr)))%expr_pat - else None) - (let (x5, _) := xv in x5) args1 - (v (Compile.reflect x4)) - (let (x5, _) := xv0 in x5) - (let (x5, _) := xv1 in x5); - Some (Base x5)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) - x5 => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ x7 @ x6)%expr_pat => - match x7 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x6 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 - Raw.ident.Z_cast; - _ <- invert_bind_args idc6 - Raw.ident.Z_land; - args3 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 - Raw.ident.Literal; - args7 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> - (projT1 args6)) -> - (s10 -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, (_, _, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> - (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> - (projT1 args6)) -> - (s10 -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args8); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args6); - v0 <- type.try_make_transport_cps s10 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x12 <- (let - '(r1, r2)%zrange := - range in - fun (s11 : Z) - (rc : zrange) - (c : expr ℤ) - (xx : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask - offset : Z) => - if - (s11 =? - 2 ^ Z.log2 s11) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s11 - 1])%zrange && - (ZRange.normalize - ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s11 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s11) - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 - s11) - offset)%expr @ - (#(Z_cast rc)%expr @ - c, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x12, _) := - xv in - x12) args7 - (v - (Compile.reflect - x4)) - (let (x12, _) := - xv0 in - x12) args5 args3 - args1 - (v0 - (Compile.reflect - x11)) - (let (x12, _) := - xv1 in - x12) - (let (x12, _) := - xv2 in - x12); - Some (Base x12)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ - _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ - _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | _ => None - end;; - match x7 with - | @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 => - match x6 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 - Raw.ident.Literal; - args0 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 - Raw.ident.Literal; - args4 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - (projT1 args3)) -> - s7 -> (projT1 args))%ptype - with - | Some (_, _, _, (_, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - (projT1 args3)) -> - s7 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args3); - v0 <- type.try_make_transport_cps s7 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x9 <- (let - '(r1, r2)%zrange := - range in - fun (s8 : Z) - (rc : zrange) - (c : expr ℤ) - (xx : Z) - (rshiftr - ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s8 =? - 2 ^ Z.log2 s8) && - (ZRange.normalize - ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s8 - 1])%zrange - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s8) - (- offset))%expr @ - (#(Z_cast rc)%expr @ - c, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x9, _) := - xv in - x9) args4 - (v - (Compile.reflect - x4)) - (let (x9, _) := - xv0 in - x9) args2 args0 - (v0 - (Compile.reflect - x8)) - (let (x9, _) := - xv1 in - x9); - Some (Base x9)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App - _ _ _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s7 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s7 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - s4)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s4 ℤ; - fv <- (x6 <- (let - '(r1, r2)%zrange := range in - fun (s5 : Z) (rc : zrange) - (c : expr ℤ) (xx : Z) - (ry : zrange) (y : expr ℤ) => - if - (s5 =? 2 ^ Z.log2 s5) && - (ZRange.normalize ry <=? - r[0 ~> s5 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc (Z.log2 s5) 0)%expr @ - (#(Z_cast rc)%expr @ c, - (##xx)%expr, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x6, _) := xv in x6) args1 - (v (Compile.reflect x4)) - (let (x6, _) := xv0 in x6) args - (v0 (Compile.reflect x5)); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5 => + | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6 => match x0 with - | @expr.Ident _ _ _ t3 idc3 => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ x7 @ x6)%expr_pat => - match x7 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x6 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 - Raw.ident.Z_cast; - _ <- invert_bind_args idc6 - Raw.ident.Z_land; - args3 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 - Raw.ident.Literal; - args6 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> - (s10 -> (projT1 args0)) -> - (projT1 args)) -> (projT1 args5))%ptype - with - | Some (_, _, (_, _, _), _)%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> - ℤ)%ptype - ((((projT1 args8) -> s3) -> - (s10 -> (projT1 args0)) -> - (projT1 args)) -> - (projT1 args5))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args8); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s10 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - fv <- (x12 <- (let - '(r1, r2)%zrange := - range in - fun (s11 : Z) - (rc : zrange) - (c : expr ℤ) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask offset - xx : Z) => - if - (s11 =? - 2 ^ Z.log2 s11) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s11 - 1])%zrange && - (ZRange.normalize - ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s11 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s11) - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 - s11) - offset)%expr @ - (#(Z_cast rc)%expr @ - c, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x12, _) := - xv in - x12) args7 - (v - (Compile.reflect - x4)) args6 - args3 args1 - (v0 - (Compile.reflect - x11)) - (let (x12, _) := - xv0 in - x12) - (let (x12, _) := - xv1 in - x12) - (let (x12, _) := - xv2 in - x12); - Some (Base x12)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ - _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ - _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | _ => None - end;; - match x7 with - | @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 => - match x6 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 - Raw.ident.Literal; - args0 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 - Raw.ident.Literal; - args3 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - s7 -> (projT1 args)) -> - (projT1 args2))%ptype - with - | Some (_, _, (_, _), _)%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - s7 -> (projT1 args)) -> - (projT1 args2))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s7 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args2); - fv <- (x9 <- (let - '(r1, r2)%zrange := - range in - fun (s8 : Z) - (rc : zrange) - (c : expr ℤ) - (rshiftr - ry : zrange) - (y : expr ℤ) - (offset xx : Z) - => - if - (s8 =? - 2 ^ Z.log2 s8) && - (ZRange.normalize - ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s8 - 1])%zrange - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_addc - (Z.log2 s8) - (- offset))%expr @ - (#(Z_cast rc)%expr @ - c, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x9, _) := - xv in - x9) args4 - (v - (Compile.reflect - x4)) args3 - args0 - (v0 - (Compile.reflect - x8)) - (let (x9, _) := - xv0 in - x9) - (let (x9, _) := - xv1 in - x9); - Some (Base x9)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App - _ _ _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s7 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s7 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (let - '(r1, r2)%zrange := range in - fun (s5 : Z) (rc : zrange) - (c : expr ℤ) (rx : zrange) - (x6 : expr ℤ) (yy : Z) => - if - (s5 =? 2 ^ Z.log2 s5) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s5 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc (Z.log2 s5) 0)%expr @ - (#(Z_cast rc)%expr @ c, - #(Z_cast rx)%expr @ x6, - (##yy)%expr)))%expr_pat - else None) - (let (x6, _) := xv in x6) args1 - (v (Compile.reflect x4)) args0 - (v0 (Compile.reflect x5)) - (let (x6, _) := xv0 in x6); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) - x6 => - match x6 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Ident _ _ - _ t9 idc9)%expr_pat => - args <- invert_bind_args idc9 Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 Raw.ident.Z_cast; - _ <- invert_bind_args idc6 Raw.ident.Z_land; - args3 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 Raw.ident.Z_cast; - args8 <- invert_bind_args idc0 + | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t4 idc4) + x7 => + match x7 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ @expr.Ident _ _ _ + t12 idc12))%expr_pat => + args <- invert_bind_args idc12 + Raw.ident.Literal; + args0 <- invert_bind_args idc11 + Raw.ident.Z_cast; + args1 <- invert_bind_args idc10 Raw.ident.Literal; + args2 <- invert_bind_args idc9 Raw.ident.Z_cast; + args3 <- invert_bind_args idc8 Raw.ident.Z_cast; + _ <- invert_bind_args idc7 Raw.ident.Z_land; + args5 <- invert_bind_args idc6 Raw.ident.Z_cast; + _ <- invert_bind_args idc5 Raw.ident.Z_shiftl; + args7 <- invert_bind_args idc4 Raw.ident.Z_cast; + args8 <- invert_bind_args idc3 Raw.ident.Z_cast; + args9 <- invert_bind_args idc2 Raw.ident.Z_cast; + args10 <- invert_bind_args idc1 + Raw.ident.Literal; + args11 <- invert_bind_args idc0 + Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> s4) -> - (s11 -> (projT1 args0)) -> (projT1 args))%ptype + ((((projT1 args10) -> s4) -> s5) -> + (s12 -> (projT1 args1)) -> (projT1 args))%ptype with | Some (_, _, _, (_, _, _))%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> s4) -> - (s11 -> (projT1 args0)) -> + ((((projT1 args10) -> s4) -> s5) -> + (s12 -> (projT1 args1)) -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args8); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - v1 <- type.try_make_transport_cps s11 ℤ; + ##(projT2 args10); + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s12 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x13 <- (let + fv <- (x16 <- (let '(r1, r2)%zrange := range in - fun (s12 : Z) - (rc : zrange) + fun (rs : zrange) + (s15 : Z) (rc : zrange) (c : expr ℤ) (rx : zrange) - (x13 : expr ℤ) + (x16 : expr ℤ) (rshiftl rland ry : zrange) (y : expr ℤ) - (mask offset : Z) => + (rmask : zrange) + (mask : Z) + (roffset : zrange) + (offset : Z) => if - (s12 =? 2 ^ Z.log2 s12) && + (s15 =? 2 ^ Z.log2 s15) && (ZRange.normalize rland << ZRange.normalize (ZRange.constant @@ -7434,2039 +4726,1031 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with (ZRange.constant mask) <=? ZRange.normalize rland)%zrange && (ZRange.normalize rshiftl <=? - r[0 ~> s12 - 1])%zrange && + r[0 ~> s15 - 1])%zrange && (mask =? Z.ones - (Z.log2 s12 - offset)) && + (Z.log2 s15 - offset)) && (0 <=? offset) && - (offset <=? Z.log2 s12) + (offset <=? Z.log2 s15) && + is_bounded_by_bool s15 + (ZRange.normalize rs) && + is_bounded_by_bool mask + (ZRange.normalize rmask) && + is_bounded_by_bool offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_addc - (Z.log2 s12) + (Z.log2 s15) offset)%expr @ (#(Z_cast rc)%expr @ c, #(Z_cast rx)%expr @ - x13, + x16, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x13, _) := xv in x13) - args7 - (v (Compile.reflect x4)) - args6 - (v0 (Compile.reflect x5)) - args5 args3 args1 - (v1 (Compile.reflect x12)) - (let (x13, _) := xv0 in - x13) - (let (x13, _) := xv1 in - x13); - Some (Base x13)); + else None) args11 + (let (x16, _) := xv in x16) + args9 + (v (Compile.reflect x5)) + args8 + (v0 (Compile.reflect x6)) + args7 args5 args3 + (v1 (Compile.reflect x13)) + args2 + (let (x16, _) := xv0 in + x16) args0 + (let (x16, _) := xv1 in + x16); + Some (Base x16)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ @expr.Abs _ _ _ _ + _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ @expr.LetIn _ _ _ + _ _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ ($_)%expr))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Abs _ _ _ _ + _ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ (_ @ _)))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.LetIn _ _ _ + _ _ _ _))) @ _)%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ # + (_))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ ($_)%expr)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ @expr.Abs _ _ _ _ _ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - (_ @ _))) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (($_)%expr @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Abs _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (_ @ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ @expr.LetIn _ _ _ _ _ _ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ ($_)%expr _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (_ @ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ ($_)%expr _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (_ @ _) _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _)) @ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ #(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _)) @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (#(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _)) @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _)) @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ _) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Ident _ _ - _ t9 idc9)%expr_pat => - args <- invert_bind_args idc9 Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 Raw.ident.Z_cast; - _ <- invert_bind_args idc6 Raw.ident.Z_land; - args3 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 Raw.ident.Z_cast; - args8 <- invert_bind_args idc0 + match x6 with + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ @expr.Ident _ _ _ + t12 idc12))%expr_pat => + args <- invert_bind_args idc12 + Raw.ident.Literal; + args0 <- invert_bind_args idc11 + Raw.ident.Z_cast; + args1 <- invert_bind_args idc10 Raw.ident.Literal; + args2 <- invert_bind_args idc9 Raw.ident.Z_cast; + args3 <- invert_bind_args idc8 Raw.ident.Z_cast; + _ <- invert_bind_args idc7 Raw.ident.Z_land; + args5 <- invert_bind_args idc6 Raw.ident.Z_cast; + _ <- invert_bind_args idc5 Raw.ident.Z_shiftl; + args7 <- invert_bind_args idc4 Raw.ident.Z_cast; + args8 <- invert_bind_args idc3 Raw.ident.Z_cast; + args9 <- invert_bind_args idc2 Raw.ident.Z_cast; + args10 <- invert_bind_args idc1 + Raw.ident.Literal; + args11 <- invert_bind_args idc0 + Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match pattern.type.unify_extracted (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> - (s11 -> (projT1 args0)) -> (projT1 args)) -> - s5)%ptype + ((((projT1 args10) -> s4) -> + (s12 -> (projT1 args1)) -> (projT1 args)) -> + s6)%ptype with | Some (_, _, (_, _, _), _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> (ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> - (s11 -> (projT1 args0)) -> - (projT1 args)) -> s5)%ptype + ((((projT1 args10) -> s4) -> + (s12 -> (projT1 args1)) -> + (projT1 args)) -> s6)%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args8); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s11 ℤ; + ##(projT2 args10); + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s12 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - v1 <- type.try_make_transport_cps s5 ℤ; - fv <- (x13 <- (let + v1 <- type.try_make_transport_cps s6 ℤ; + fv <- (x16 <- (let '(r1, r2)%zrange := range in - fun (s12 : Z) - (rc : zrange) + fun (rs : zrange) + (s15 : Z) (rc : zrange) (c : expr ℤ) (rshiftl rland ry : zrange) (y : expr ℤ) - (mask offset : Z) + (rmask : zrange) + (mask : Z) + (roffset : zrange) + (offset : Z) (rx : zrange) - (x13 : expr ℤ) => + (x16 : expr ℤ) => if - (s12 =? 2 ^ Z.log2 s12) && + (s15 =? 2 ^ Z.log2 s15) && (ZRange.normalize rland << ZRange.normalize (ZRange.constant offset) <=? ZRange.normalize rshiftl)%zrange && (ZRange.normalize rshiftl <=? - r[0 ~> s12 - 1])%zrange && + r[0 ~> s15 - 1])%zrange && (ZRange.normalize ry &' ZRange.normalize (ZRange.constant mask) <=? ZRange.normalize rland)%zrange && (mask =? Z.ones - (Z.log2 s12 - offset)) && + (Z.log2 s15 - offset)) && (0 <=? offset) && - (offset <=? Z.log2 s12) + (offset <=? Z.log2 s15) && + is_bounded_by_bool s15 + (ZRange.normalize rs) && + is_bounded_by_bool mask + (ZRange.normalize rmask) && + is_bounded_by_bool offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_addc - (Z.log2 s12) + (Z.log2 s15) offset)%expr @ (#(Z_cast rc)%expr @ c, #(Z_cast rx)%expr @ - x13, + x16, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x13, _) := xv in x13) - args7 - (v (Compile.reflect x4)) - args6 args3 args1 - (v0 (Compile.reflect x12)) - (let (x13, _) := xv0 in - x13) - (let (x13, _) := xv1 in - x13) args5 - (v1 (Compile.reflect x6)); - Some (Base x13)); + else None) args11 + (let (x16, _) := xv in x16) + args9 + (v (Compile.reflect x5)) + args8 args5 args3 + (v0 (Compile.reflect x13)) + args2 + (let (x16, _) := xv0 in + x16) args0 + (let (x16, _) := xv1 in + x16) args7 + (v1 (Compile.reflect x7)); + Some (Base x16)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8)) @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ @expr.Abs _ _ _ _ + _ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.Ident _ _ _ t11 idc11 @ @expr.LetIn _ _ _ + _ _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ _ _ + t10 idc10))) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ ($_)%expr))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Abs _ _ _ _ + _ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ (_ @ _)))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.LetIn _ _ _ + _ _ _ _))) @ _)%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ # + (_))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ ($_)%expr)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ @expr.Abs _ _ _ _ _ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - (_ @ _))) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (($_)%expr @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Abs _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (_ @ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ @expr.LetIn _ _ _ _ _ _ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ ($_)%expr _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (_ @ _) _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ ($_)%expr _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Abs _ _ _ _ _ _) _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (_ @ _) _ @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _)) @ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ #(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ #(_)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ #(_)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _)) @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (#(_) @ _)) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.Abs _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _ @ _)) @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _)) @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.LetIn _ _ _ _ _ _ _ @ _)) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ _) @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (($_)%expr @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ (_ @ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ + (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ (@expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - match x6 with - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ @expr.Ident _ _ - _ t6 idc6)%expr_pat => - args <- invert_bind_args idc6 Raw.ident.Literal; - args0 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 Raw.ident.Z_cast; - args5 <- invert_bind_args idc0 + match x7 with + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ + t8 idc8))%expr_pat => + args <- invert_bind_args idc8 Raw.ident.Literal; + args0 <- invert_bind_args idc7 Raw.ident.Z_cast; + args1 <- invert_bind_args idc6 Raw.ident.Z_cast; + _ <- invert_bind_args idc5 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc4 Raw.ident.Z_cast; + args4 <- invert_bind_args idc3 Raw.ident.Z_cast; + args5 <- invert_bind_args idc2 Raw.ident.Z_cast; + args6 <- invert_bind_args idc1 Raw.ident.Literal; + args7 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> s4) -> - s8 -> (projT1 args))%ptype + ((((projT1 args6) -> s4) -> s5) -> + s9 -> (projT1 args))%ptype with | Some (_, _, _, (_, _))%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> s4) -> - s8 -> (projT1 args))%ptype + ((((projT1 args6) -> s4) -> s5) -> + s9 -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args5); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - v1 <- type.try_make_transport_cps s8 ℤ; + ##(projT2 args6); + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s9 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x10 <- (let + fv <- (x12 <- (let '(r1, r2)%zrange := range in - fun (s9 : Z) (rc : zrange) + fun (rs : zrange) + (s11 : Z) (rc : zrange) (c : expr ℤ) (rx : zrange) - (x10 : expr ℤ) + (x12 : expr ℤ) (rshiftr ry : zrange) (y : expr ℤ) + (roffset : zrange) (offset : Z) => if - (s9 =? 2 ^ Z.log2 s9) && + (s11 =? 2 ^ Z.log2 s11) && (ZRange.normalize ry >> ZRange.normalize (ZRange.constant offset) <=? ZRange.normalize rshiftr)%zrange && (ZRange.normalize rshiftr <=? - r[0 ~> s9 - 1])%zrange + r[0 ~> s11 - 1])%zrange && + is_bounded_by_bool s11 + (ZRange.normalize rs) && + is_bounded_by_bool offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_addc - (Z.log2 s9) + (Z.log2 s11) (- offset))%expr @ (#(Z_cast rc)%expr @ c, #(Z_cast rx)%expr @ - x10, + x12, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x10, _) := xv in x10) + else None) args7 + (let (x12, _) := xv in x12) + args5 + (v (Compile.reflect x5)) args4 - (v (Compile.reflect x4)) - args3 - (v0 (Compile.reflect x5)) - args2 args0 - (v1 (Compile.reflect x9)) - (let (x10, _) := xv0 in - x10); - Some (Base x10)); + (v0 (Compile.reflect x6)) + args3 args1 + (v1 (Compile.reflect x10)) + args0 + (let (x12, _) := xv0 in + x12); + Some (Base x12)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ _ _ _ _ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn _ _ _ _ + _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Abs _ _ + _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.LetIn _ + _ _ _ _ _ _)%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ ($_)%expr _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ (@expr.Abs _ _ _ _ _ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ (_ @ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ @expr.Ident _ _ - _ t6 idc6)%expr_pat => - args <- invert_bind_args idc6 Raw.ident.Literal; - args0 <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 Raw.ident.Z_cast; - args5 <- invert_bind_args idc0 + match x6 with + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident _ _ _ + t8 idc8))%expr_pat => + args <- invert_bind_args idc8 Raw.ident.Literal; + args0 <- invert_bind_args idc7 Raw.ident.Z_cast; + args1 <- invert_bind_args idc6 Raw.ident.Z_cast; + _ <- invert_bind_args idc5 Raw.ident.Z_shiftr; + args3 <- invert_bind_args idc4 Raw.ident.Z_cast; + args4 <- invert_bind_args idc3 Raw.ident.Z_cast; + args5 <- invert_bind_args idc2 Raw.ident.Z_cast; + args6 <- invert_bind_args idc1 Raw.ident.Literal; + args7 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - s8 -> (projT1 args)) -> s5)%ptype + ((((projT1 args6) -> s4) -> + s9 -> (projT1 args)) -> s6)%ptype with | Some (_, _, (_, _), _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - s8 -> (projT1 args)) -> s5)%ptype + ((((projT1 args6) -> s4) -> + s9 -> (projT1 args)) -> s6)%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args5); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s8 ℤ; + ##(projT2 args6); + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s9 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - v1 <- type.try_make_transport_cps s5 ℤ; - fv <- (x10 <- (let + v1 <- type.try_make_transport_cps s6 ℤ; + fv <- (x12 <- (let '(r1, r2)%zrange := range in - fun (s9 : Z) (rc : zrange) + fun (rs : zrange) + (s11 : Z) (rc : zrange) (c : expr ℤ) (rshiftr ry : zrange) (y : expr ℤ) + (roffset : zrange) (offset : Z) (rx : zrange) - (x10 : expr ℤ) => + (x12 : expr ℤ) => if - (s9 =? 2 ^ Z.log2 s9) && + (s11 =? 2 ^ Z.log2 s11) && (ZRange.normalize ry >> ZRange.normalize (ZRange.constant offset) <=? ZRange.normalize rshiftr)%zrange && (ZRange.normalize rshiftr <=? - r[0 ~> s9 - 1])%zrange + r[0 ~> s11 - 1])%zrange && + is_bounded_by_bool s11 + (ZRange.normalize rs) && + is_bounded_by_bool offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_addc - (Z.log2 s9) + (Z.log2 s11) (- offset))%expr @ (#(Z_cast rc)%expr @ c, #(Z_cast rx)%expr @ - x10, + x12, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x10, _) := xv in x10) - args4 - (v (Compile.reflect x4)) - args3 args0 - (v0 (Compile.reflect x9)) - (let (x10, _) := xv0 in - x10) args2 - (v1 (Compile.reflect x6)); - Some (Base x10)); + else None) args7 + (let (x12, _) := xv in x12) + args5 + (v (Compile.reflect x5)) + args4 args1 + (v0 (Compile.reflect x10)) + args0 + (let (x12, _) := xv0 in + x12) args3 + (v1 (Compile.reflect x7)); + Some (Base x12)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ _ _ _ _ + _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ (_ @ _)))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn _ _ _ _ + _ _ _))%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.Abs _ _ + _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 @ @expr.LetIn _ + _ _ _ _ _ _)%expr_pat => None + | (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ ($_)%expr _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ (@expr.Abs _ _ _ _ _ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ (_ @ _) _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.App _ _ _ s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _)%expr_pat => None - | (@expr.Ident _ _ _ t4 idc4 @ #(_) @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ + | (@expr.Ident _ _ _ t5 idc5 @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ + (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => None | _ => None end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; + args <- invert_bind_args idc4 Raw.ident.Z_cast; + args0 <- invert_bind_args idc3 Raw.ident.Z_cast; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + args2 <- invert_bind_args idc1 Raw.ident.Literal; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> s5)%ptype + ((((projT1 args2) -> s4) -> s5) -> s6)%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> s5)%ptype + ((((projT1 args2) -> s4) -> s5) -> s6)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - v1 <- type.try_make_transport_cps s5 ℤ; - fv <- (x7 <- (let + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s6 ℤ; + fv <- (x8 <- (let '(r1, r2)%zrange := range in - fun (s6 : Z) (rc : zrange) - (c : expr ℤ) (rx : zrange) - (x7 : expr ℤ) (ry : zrange) - (y : expr ℤ) => + fun (rs : zrange) (s7 : Z) + (rc : zrange) (c : expr ℤ) + (rx : zrange) (x8 : expr ℤ) + (ry : zrange) (y : expr ℤ) => if - (s6 =? 2 ^ Z.log2 s6) && + (s7 =? 2 ^ Z.log2 s7) && (ZRange.normalize ry <=? - r[0 ~> s6 - 1])%zrange + r[0 ~> s7 - 1])%zrange && + is_bounded_by_bool s7 + (ZRange.normalize rs) then Some (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_addc (Z.log2 s6) 0)%expr @ + (#(fancy_addc (Z.log2 s7) 0)%expr @ (#(Z_cast rc)%expr @ c, - #(Z_cast rx)%expr @ x7, + #(Z_cast rx)%expr @ x8, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x7, _) := xv in x7) args1 - (v (Compile.reflect x4)) args0 - (v0 (Compile.reflect x5)) args - (v1 (Compile.reflect x6)); - Some (Base x7)); + else None) args3 + (let (x8, _) := xv in x8) args1 + (v (Compile.reflect x5)) args0 + (v0 (Compile.reflect x6)) args + (v1 (Compile.reflect x7)); + Some (Base x8)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ + | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ _ s6 + _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s6 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ + | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ + | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end;; match x3 with - | @expr.Ident _ _ _ t0 idc0 => + | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => match x2 with - | @expr.Ident _ _ _ t1 idc1 => - match x1 with - | @expr.Ident _ _ _ t2 idc2 => - match x0 with - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t3 idc3) - x4 => - match x4 with - | (@expr.Ident _ _ _ t4 idc4 @ x6 @ x5)%expr_pat => - match x6 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x5 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 - Raw.ident.Z_cast; - _ <- invert_bind_args idc6 - Raw.ident.Z_land; - args3 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 - Raw.ident.Literal; - args7 <- invert_bind_args idc1 - Raw.ident.Literal; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> - (projT1 args6)) -> - (s9 -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, (_, _, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> - (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> - (projT1 args7)) -> - (projT1 args6)) -> - (s9 -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args8); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args7); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args6); - v <- type.try_make_transport_cps s9 ℤ; - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv3 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x11 <- (let - '(r1, r2)%zrange := - range in - fun - (s10 bb xx : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask - offset : Z) => - if - (s10 =? - 2 ^ Z.log2 s10) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s10 - 1])%zrange && - (ZRange.normalize - ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s10 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s10) - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_subb - (Z.log2 - s10) - offset)%expr @ - ((##bb)%expr, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x11, _) := - xv in - x11) - (let (x11, _) := - xv0 in - x11) - (let (x11, _) := - xv1 in - x11) args5 args3 - args1 - (v - (Compile.reflect - x10)) - (let (x11, _) := - xv2 in - x11) - (let (x11, _) := - xv3 in - x11); - Some (Base x11)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Ident _ _ _ t7 idc7) x10 @ - @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ - _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ - _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | _ => None - end;; - match x6 with - | @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t5 idc5) x7 => - match x5 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 - Raw.ident.Literal; - args0 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 - Raw.ident.Literal; - args4 <- invert_bind_args idc1 - Raw.ident.Literal; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> - (projT1 args3)) -> - s6 -> (projT1 args))%ptype - with - | Some (_, _, _, (_, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> - (projT1 args4)) -> - (projT1 args3)) -> - s6 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s6 ℤ; - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x8 <- (let - '(r1, r2)%zrange := - range in - fun (s7 bb xx : Z) - (rshiftr - ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s7 =? - 2 ^ Z.log2 s7) && - (ZRange.normalize - ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s7 - 1])%zrange - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_subb - (Z.log2 s7) - (- offset))%expr @ - ((##bb)%expr, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x8, _) := - xv in - x8) - (let (x8, _) := - xv0 in - x8) - (let (x8, _) := - xv1 in - x8) args2 args0 - (v - (Compile.reflect - x7)) - (let (x8, _) := - xv2 in - x8); - Some (Base x8)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App - _ _ _ s6 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s6 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s6 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> s3)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> - (projT1 args0)) -> s3)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v <- type.try_make_transport_cps s3 ℤ; - fv <- (x5 <- (let - '(r1, r2)%zrange := range in - fun (s4 bb xx : Z) - (ry : zrange) (y : expr ℤ) => - if - (s4 =? 2 ^ Z.log2 s4) && - (ZRange.normalize ry <=? - r[0 ~> s4 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_subb (Z.log2 s4) 0)%expr @ - ((##bb)%expr, (##xx)%expr, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x5, _) := xv in x5) - (let (x5, _) := xv0 in x5) - (let (x5, _) := xv1 in x5) args - (v (Compile.reflect x4)); - Some (Base x5)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t2 idc2) x4 => - match x0 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s3 ℤ; - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x5 <- (let - '(r1, r2)%zrange := range in - fun (s4 bb : Z) (rx : zrange) - (x5 : expr ℤ) (yy : Z) => - if - (s4 =? 2 ^ Z.log2 s4) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s4 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_subb (Z.log2 s4) 0)%expr @ - ((##bb)%expr, - #(Z_cast rx)%expr @ x5, - (##yy)%expr)))%expr_pat - else None) - (let (x5, _) := xv in x5) - (let (x5, _) := xv0 in x5) - args0 (v (Compile.reflect x4)) - (let (x5, _) := xv1 in x5); - Some (Base x5)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) - x5 => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ x7 @ x6)%expr_pat => - match x7 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x6 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 - Raw.ident.Z_cast; - _ <- invert_bind_args idc6 - Raw.ident.Z_land; - args3 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 - Raw.ident.Literal; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> (projT1 args7)) -> - s3) -> - (s10 -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, (_, _, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> - (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> - (projT1 args7)) -> s3) -> - (s10 -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args8); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args7); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s10 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x12 <- (let - '(r1, r2)%zrange := - range in - fun (s11 bb : Z) - (rx : zrange) - (x12 : expr ℤ) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask - offset : Z) => - if - (s11 =? - 2 ^ Z.log2 s11) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s11 - 1])%zrange && - (ZRange.normalize - ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s11 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s11) - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_subb - (Z.log2 - s11) - offset)%expr @ - ((##bb)%expr, - #(Z_cast rx)%expr @ - x12, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x12, _) := - xv in - x12) - (let (x12, _) := - xv0 in - x12) args6 - (v - (Compile.reflect - x4)) args5 - args3 args1 - (v0 - (Compile.reflect - x11)) - (let (x12, _) := - xv1 in - x12) - (let (x12, _) := - xv2 in - x12); - Some (Base x12)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ - _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ - _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | _ => None - end;; - match x7 with - | @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 => - match x6 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 - Raw.ident.Literal; - args0 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 - Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 - Raw.ident.Literal; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> (projT1 args4)) -> - s3) -> s7 -> (projT1 args))%ptype - with - | Some (_, _, _, (_, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> - (projT1 args4)) -> s3) -> - s7 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args4); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s7 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x9 <- (let - '(r1, r2)%zrange := - range in - fun (s8 bb : Z) - (rx : zrange) - (x9 : expr ℤ) - (rshiftr - ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s8 =? - 2 ^ Z.log2 s8) && - (ZRange.normalize - ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s8 - 1])%zrange - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_subb - (Z.log2 s8) - (- offset))%expr @ - ((##bb)%expr, - #(Z_cast rx)%expr @ - x9, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x9, _) := - xv in - x9) - (let (x9, _) := - xv0 in - x9) args3 - (v - (Compile.reflect - x4)) args2 - args0 - (v0 - (Compile.reflect - x8)) - (let (x9, _) := - xv1 in - x9); - Some (Base x9)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App - _ _ _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s7 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s7 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - s4)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> (projT1 args1)) -> s3) -> - s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - fv <- (x6 <- (let - '(r1, r2)%zrange := range in - fun (s5 bb : Z) (rx : zrange) - (x6 : expr ℤ) (ry : zrange) - (y : expr ℤ) => - if - (s5 =? 2 ^ Z.log2 s5) && - (ZRange.normalize ry <=? - r[0 ~> s5 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_subb (Z.log2 s5) 0)%expr @ - ((##bb)%expr, - #(Z_cast rx)%expr @ x6, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x6, _) := xv in x6) - (let (x6, _) := xv0 in x6) - args0 (v (Compile.reflect x4)) - args (v0 (Compile.reflect x5)); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t1 idc1) x4 => + | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5 => match x1 with - | @expr.Ident _ _ _ t2 idc2 => + | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) x6 => match x0 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x5 <- (let - '(r1, r2)%zrange := range in - fun (s4 : Z) (rb : zrange) - (b2 : expr ℤ) (xx yy : Z) => - if - (s4 =? 2 ^ Z.log2 s4) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s4 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_subb (Z.log2 s4) 0)%expr @ - (#(Z_cast rb)%expr @ b2, - (##xx)%expr, (##yy)%expr)))%expr_pat - else None) - (let (x5, _) := xv in x5) args1 - (v (Compile.reflect x4)) - (let (x5, _) := xv0 in x5) - (let (x5, _) := xv1 in x5); - Some (Base x5)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t3 idc3) - x5 => - match x5 with - | (@expr.Ident _ _ _ t4 idc4 @ x7 @ x6)%expr_pat => - match x7 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x6 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 - Raw.ident.Z_cast; - _ <- invert_bind_args idc6 - Raw.ident.Z_land; - args3 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 - Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 - Raw.ident.Literal; - args7 <- invert_bind_args idc1 - Raw.ident.Z_cast; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> - (projT1 args6)) -> - (s10 -> (projT1 args0)) -> - (projT1 args))%ptype - with - | Some (_, _, _, (_, _, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> - (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> - (projT1 args6)) -> - (s10 -> (projT1 args0)) -> - (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args8); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args6); - v0 <- type.try_make_transport_cps s10 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args0); - xv2 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x12 <- (let - '(r1, r2)%zrange := - range in - fun (s11 : Z) - (rb : zrange) - (b4 : expr ℤ) - (xx : Z) - (rshiftl rland - ry : zrange) - (y : expr ℤ) - (mask - offset : Z) => - if - (s11 =? - 2 ^ Z.log2 s11) && - (ZRange.normalize - rland << - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftl)%zrange && - (ZRange.normalize - rshiftl <=? - r[0 ~> s11 - 1])%zrange && - (ZRange.normalize - ry &' - ZRange.normalize - (ZRange.constant - mask) <=? - ZRange.normalize - rland)%zrange && - (mask =? - Z.ones - (Z.log2 s11 - - offset)) && - (0 <=? offset) && - (offset <=? - Z.log2 s11) - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_subb - (Z.log2 - s11) - offset)%expr @ - (#(Z_cast rb)%expr @ - b4, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x12, _) := - xv in - x12) args7 - (v - (Compile.reflect - x4)) - (let (x12, _) := - xv0 in - x12) args5 args3 - args1 - (v0 - (Compile.reflect - x11)) - (let (x12, _) := - xv1 in - x12) - (let (x12, _) := - xv2 in - x12); - Some (Base x12)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Ident _ _ _ t7 idc7) x11 @ - @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s10 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => - None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ - _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ - _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ - _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ - _ _ _ _ _)%expr_pat => None - | _ => None - end;; - match x7 with - | @expr.App _ _ _ s7 _ - (@expr.Ident _ _ _ t5 idc5) x8 => - match x6 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 + | @expr.App _ _ _ s6 _ (@expr.Ident _ _ _ t4 idc4) + x7 => + match x7 with + | (@expr.Ident _ _ _ t5 idc5 @ x9 @ x8)%expr_pat => + match x9 with + | (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Ident _ + _ _ t10 idc10)))%expr_pat => + match x8 with + | (@expr.Ident _ _ _ t11 idc11 @ + @expr.Ident _ _ _ t12 idc12)%expr_pat => + args <- invert_bind_args idc12 Raw.ident.Literal; - args0 <- invert_bind_args idc5 - Raw.ident.Z_cast; - _ <- invert_bind_args idc4 - Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 + args0 <- invert_bind_args idc11 Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 + args1 <- invert_bind_args idc10 Raw.ident.Literal; - args4 <- invert_bind_args idc1 + args2 <- invert_bind_args idc9 Raw.ident.Z_cast; - args5 <- invert_bind_args idc0 - Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - (projT1 args3)) -> - s7 -> (projT1 args))%ptype - with - | Some (_, _, _, (_, _))%zrange => - if - type.type_beq base.type - base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> - (projT1 args3)) -> - s7 -> (projT1 args))%ptype - then - xv <- ident.unify - pattern.ident.Literal - ##(projT2 args5); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify - pattern.ident.Literal - ##(projT2 args3); - v0 <- type.try_make_transport_cps s7 ℤ; - xv1 <- ident.unify - pattern.ident.Literal - ##(projT2 args); - fv <- (x9 <- (let - '(r1, r2)%zrange := - range in - fun (s8 : Z) - (rb : zrange) - (b3 : expr ℤ) - (xx : Z) - (rshiftr - ry : zrange) - (y : expr ℤ) - (offset : Z) => - if - (s8 =? - 2 ^ Z.log2 s8) && - (ZRange.normalize - ry >> - ZRange.normalize - (ZRange.constant - offset) <=? - ZRange.normalize - rshiftr)%zrange && - (ZRange.normalize - rshiftr <=? - r[0 ~> s8 - 1])%zrange - then - Some - (#(Z_cast2 - (r1, r2))%expr @ - (#(fancy_subb - (Z.log2 s8) - (- offset))%expr @ - (#(Z_cast rb)%expr @ - b3, - (##xx)%expr, - #(Z_cast ry)%expr @ - y)))%expr_pat - else None) - (let (x9, _) := - xv in - x9) args4 - (v - (Compile.reflect - x4)) - (let (x9, _) := - xv0 in - x9) args2 args0 - (v0 - (Compile.reflect - x8)) - (let (x9, _) := - xv1 in - x9); - Some (Base x9)); - Some - (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | _ => None - end - | @expr.App _ _ _ s7 _ ($_)%expr _ | @expr.App - _ _ _ s7 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s7 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s7 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | _ => None - end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Literal; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - s4)%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> (projT1 args0)) -> - s4)%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); - v0 <- type.try_make_transport_cps s4 ℤ; - fv <- (x6 <- (let - '(r1, r2)%zrange := range in - fun (s5 : Z) (rb : zrange) - (b2 : expr ℤ) (xx : Z) - (ry : zrange) (y : expr ℤ) => - if - (s5 =? 2 ^ Z.log2 s5) && - (ZRange.normalize ry <=? - r[0 ~> s5 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_subb (Z.log2 s5) 0)%expr @ - (#(Z_cast rb)%expr @ b2, - (##xx)%expr, - #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x6, _) := xv in x6) args1 - (v (Compile.reflect x4)) - (let (x6, _) := xv0 in x6) args - (v0 (Compile.reflect x5)); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => None - | _ => None - end - | @expr.App _ _ _ s4 _ (@expr.Ident _ _ _ t2 idc2) x5 => - match x0 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - _ <- invert_bind_args idc - Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> - (projT1 args))%ptype - with - | Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (x6 <- (let - '(r1, r2)%zrange := range in - fun (s5 : Z) (rb : zrange) - (b2 : expr ℤ) (rx : zrange) - (x6 : expr ℤ) (yy : Z) => - if - (s5 =? 2 ^ Z.log2 s5) && - (ZRange.normalize - (ZRange.constant yy) <=? - r[0 ~> s5 - 1])%zrange - then - Some - (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_subb (Z.log2 s5) 0)%expr @ - (#(Z_cast rb)%expr @ b2, - #(Z_cast rx)%expr @ x6, - (##yy)%expr)))%expr_pat - else None) - (let (x6, _) := xv in x6) args1 - (v (Compile.reflect x4)) args0 - (v0 (Compile.reflect x5)) - (let (x6, _) := xv0 in x6); - Some (Base x6)); - Some (fv0 <-- fv; - Base fv0)%under_lets - else None - | None => None - end - | @expr.App _ _ _ s5 _ (@expr.Ident _ _ _ t3 idc3) - x6 => - match x6 with - | (@expr.Ident _ _ _ t4 idc4 @ x8 @ x7)%expr_pat => - match x8 with - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - @expr.Ident _ _ _ t8 idc8))%expr_pat => - match x7 with - | @expr.Ident _ _ _ t9 idc9 => - args <- invert_bind_args idc9 - Raw.ident.Literal; - args0 <- invert_bind_args idc8 - Raw.ident.Literal; - args1 <- invert_bind_args idc7 + args3 <- invert_bind_args idc8 Raw.ident.Z_cast; - _ <- invert_bind_args idc6 + _ <- invert_bind_args idc7 Raw.ident.Z_land; - args3 <- invert_bind_args idc5 + args5 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 + _ <- invert_bind_args idc5 Raw.ident.Z_shiftl; - args5 <- invert_bind_args idc3 + args7 <- invert_bind_args idc4 Raw.ident.Z_cast; - args6 <- invert_bind_args idc2 + args8 <- invert_bind_args idc3 Raw.ident.Z_cast; - args7 <- invert_bind_args idc1 + args9 <- invert_bind_args idc2 Raw.ident.Z_cast; - args8 <- invert_bind_args idc0 - Raw.ident.Literal; + args10 <- invert_bind_args idc1 + Raw.ident.Literal; + args11 <- invert_bind_args idc0 + Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_sub_with_get_borrow; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> s4) -> - (s11 -> (projT1 args0)) -> + ((((projT1 args10) -> s4) -> s5) -> + (s12 -> (projT1 args1)) -> (projT1 args))%ptype with | Some (_, _, _, (_, _, _))%zrange => @@ -9475,38 +5759,41 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> (ℤ -> ℤ) -> ℤ)%ptype - ((((projT1 args8) -> s3) -> s4) -> - (s11 -> (projT1 args0)) -> + ((((projT1 args10) -> s4) -> s5) -> + (s12 -> (projT1 args1)) -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args8); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - v1 <- type.try_make_transport_cps s11 ℤ; + ##(projT2 args10); + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s12 ℤ; xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args0); + ##(projT2 args1); xv1 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x13 <- (let + fv <- (x16 <- (let '(r1, r2)%zrange := range in - fun (s12 : Z) + fun (rs : zrange) + (s15 : Z) (rb : zrange) (b4 : expr ℤ) (rx : zrange) - (x13 : expr ℤ) + (x16 : expr ℤ) (rshiftl rland ry : zrange) (y : expr ℤ) - (mask - offset : Z) => + (rmask : zrange) + (mask : Z) + (roffset : zrange) + (offset : Z) => if - (s12 =? - 2 ^ Z.log2 s12) && + (s15 =? + 2 ^ Z.log2 s15) && (ZRange.normalize rland << ZRange.normalize @@ -9516,7 +5803,7 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with rshiftl)%zrange && (ZRange.normalize rshiftl <=? - r[0 ~> s12 - 1])%zrange && + r[0 ~> s15 - 1])%zrange && (ZRange.normalize ry &' ZRange.normalize @@ -9526,174 +5813,234 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with rland)%zrange && (mask =? Z.ones - (Z.log2 s12 - + (Z.log2 s15 - offset)) && (0 <=? offset) && (offset <=? - Z.log2 s12) + Z.log2 s15) && + is_bounded_by_bool + s15 + (ZRange.normalize + rs) && + is_bounded_by_bool + mask + (ZRange.normalize + rmask) && + is_bounded_by_bool + offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_subb (Z.log2 - s12) + s15) offset)%expr @ (#(Z_cast rb)%expr @ b4, #(Z_cast rx)%expr @ - x13, + x16, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x13, _) := + else None) args11 + (let (x16, _) := xv in - x13) args7 + x16) args9 (v (Compile.reflect - x4)) args6 + x5)) args8 (v0 (Compile.reflect - x5)) args5 - args3 args1 + x6)) args7 + args5 args3 (v1 (Compile.reflect - x12)) - (let (x13, _) := + x13)) args2 + (let (x16, _) := xv0 in - x13) - (let (x13, _) := + x16) args0 + (let (x16, _) := xv1 in - x13); - Some (Base x13)); + x16); + Some (Base x16)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t11 idc11 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t11 idc11 @ @expr.Abs + _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t11 idc11 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t11 idc11 @ + @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + | (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ ($_)%expr)))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.Abs _ _ + _ _ _ _)))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ (_ @ _))))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Ident _ _ _ t9 idc9 @ @expr.LetIn _ + _ _ _ _ _ _)))%expr_pat => None + | (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + #(_)))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ - (_ @ _)))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Ident _ _ _ t7 idc7) x12 @ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (($_)%expr @ _)))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.Abs _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (_ @ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _)))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Ident _ _ _ t8 idc8) x13 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ ($_)%expr _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (_ @ _) _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.App _ _ _ - s11 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => + | (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ ($_)%expr _ @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.Abs _ _ _ _ _ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (_ @ _) _ @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.App _ _ _ + s12 _ (@expr.LetIn _ _ _ _ _ _ _) _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ #(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ + | (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ #(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ - (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ + (@expr.Ident _ _ _ t6 idc6 @ + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat => None - | (@expr.Ident _ _ _ t5 idc5 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.Abs _ _ _ + | (@expr.Ident _ _ _ t6 idc6 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (#(_) @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (#(_) @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (($_)%expr @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.Abs _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ (_ @ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (_ @ _ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t6 idc6 @ (@expr.LetIn _ _ _ _ _ _ _ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ + (@expr.Ident _ _ _ t6 idc6 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t5 idc5 @ @expr.LetIn _ _ + (@expr.Ident _ _ _ t6 idc6 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None | _ => None end;; - match x8 with - | @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9 => - match x7 with - | @expr.Ident _ _ _ t6 idc6 => - args <- invert_bind_args idc6 + match x9 with + | @expr.App _ _ _ s9 _ + (@expr.Ident _ _ _ t6 idc6) x10 => + match x8 with + | (@expr.Ident _ _ _ t7 idc7 @ @expr.Ident + _ _ _ t8 idc8)%expr_pat => + args <- invert_bind_args idc8 Raw.ident.Literal; - args0 <- invert_bind_args idc5 + args0 <- invert_bind_args idc7 + Raw.ident.Z_cast; + args1 <- invert_bind_args idc6 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 + _ <- invert_bind_args idc5 Raw.ident.Z_shiftr; - args2 <- invert_bind_args idc3 + args3 <- invert_bind_args idc4 Raw.ident.Z_cast; - args3 <- invert_bind_args idc2 + args4 <- invert_bind_args idc3 Raw.ident.Z_cast; - args4 <- invert_bind_args idc1 + args5 <- invert_bind_args idc2 Raw.ident.Z_cast; - args5 <- invert_bind_args idc0 + args6 <- invert_bind_args idc1 Raw.ident.Literal; + args7 <- invert_bind_args idc0 + Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_sub_with_get_borrow; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> s4) -> - s8 -> (projT1 args))%ptype + ((((projT1 args6) -> s4) -> s5) -> + s9 -> (projT1 args))%ptype with | Some (_, _, _, (_, _))%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ -> ℤ)%ptype - ((((projT1 args5) -> s3) -> s4) -> - s8 -> (projT1 args))%ptype + ((((projT1 args6) -> s4) -> s5) -> + s9 -> (projT1 args))%ptype then xv <- ident.unify pattern.ident.Literal - ##(projT2 args5); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - v1 <- type.try_make_transport_cps s8 ℤ; + ##(projT2 args6); + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s9 ℤ; xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (x10 <- (let + fv <- (x12 <- (let '(r1, r2)%zrange := range in - fun (s9 : Z) + fun (rs : zrange) + (s11 : Z) (rb : zrange) (b3 : expr ℤ) (rx : zrange) - (x10 : expr ℤ) + (x12 : expr ℤ) (rshiftr ry : zrange) (y : expr ℤ) + (roffset : zrange) (offset : Z) => if - (s9 =? - 2 ^ Z.log2 s9) && + (s11 =? + 2 ^ Z.log2 s11) && (ZRange.normalize ry >> ZRange.normalize @@ -9703,124 +6050,146 @@ match idc in (Compilers.ident t) return (Compile.value' true t) with rshiftr)%zrange && (ZRange.normalize rshiftr <=? - r[0 ~> s9 - 1])%zrange + r[0 ~> s11 - 1])%zrange && + is_bounded_by_bool + s11 + (ZRange.normalize + rs) && + is_bounded_by_bool + offset + (ZRange.normalize + roffset) then Some (#(Z_cast2 (r1, r2))%expr @ (#(fancy_subb (Z.log2 - s9) + s11) (- offset))%expr @ (#(Z_cast rb)%expr @ b3, #(Z_cast rx)%expr @ - x10, + x12, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x10, _) := + else None) args7 + (let (x12, _) := xv in - x10) args4 + x12) args5 (v (Compile.reflect - x4)) args3 + x5)) args4 (v0 (Compile.reflect - x5)) args2 - args0 + x6)) args3 + args1 (v1 (Compile.reflect - x9)) - (let (x10, _) := + x10)) args0 + (let (x12, _) := xv0 in - x10); - Some (Base x10)); + x12); + Some (Base x12)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end + | (@expr.Ident _ _ _ t7 idc7 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t7 idc7 @ @expr.Abs _ + _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t7 idc7 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t7 idc7 @ @expr.LetIn + _ _ _ _ _ _ _)%expr_pat => None | _ => None end - | @expr.App _ _ _ s8 _ ($_)%expr _ | @expr.App - _ _ _ s8 _ (@expr.Abs _ _ _ _ _ _) _ | - @expr.App _ _ _ s8 _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s8 _ + | @expr.App _ _ _ s9 _ ($_)%expr _ | @expr.App + _ _ _ s9 _ (@expr.Abs _ _ _ _ _ _) _ | + @expr.App _ _ _ s9 _ (_ @ _)%expr_pat _ | + @expr.App _ _ _ s9 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end | _ => None end;; - args <- invert_bind_args idc3 Raw.ident.Z_cast; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; + args <- invert_bind_args idc4 Raw.ident.Z_cast; + args0 <- invert_bind_args idc3 Raw.ident.Z_cast; + args1 <- invert_bind_args idc2 Raw.ident.Z_cast; + args2 <- invert_bind_args idc1 Raw.ident.Literal; + args3 <- invert_bind_args idc0 Raw.ident.Z_cast; _ <- invert_bind_args idc Raw.ident.Z_sub_with_get_borrow; match pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> s5)%ptype + ((((projT1 args2) -> s4) -> s5) -> s6)%ptype with | Some (_, _, _, _)%zrange => if type.type_beq base.type base.type.type_beq (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args2) -> s3) -> s4) -> s5)%ptype + ((((projT1 args2) -> s4) -> s5) -> s6)%ptype then xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - v <- type.try_make_transport_cps s3 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - v1 <- type.try_make_transport_cps s5 ℤ; - fv <- (x7 <- (let + v <- type.try_make_transport_cps s4 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s6 ℤ; + fv <- (x8 <- (let '(r1, r2)%zrange := range in - fun (s6 : Z) (rb : zrange) - (b2 : expr ℤ) (rx : zrange) - (x7 : expr ℤ) (ry : zrange) - (y : expr ℤ) => + fun (rs : zrange) (s7 : Z) + (rb : zrange) (b2 : expr ℤ) + (rx : zrange) (x8 : expr ℤ) + (ry : zrange) (y : expr ℤ) => if - (s6 =? 2 ^ Z.log2 s6) && + (s7 =? 2 ^ Z.log2 s7) && (ZRange.normalize ry <=? - r[0 ~> s6 - 1])%zrange + r[0 ~> s7 - 1])%zrange && + is_bounded_by_bool s7 + (ZRange.normalize rs) then Some (#(Z_cast2 (r1, r2))%expr @ - (#(fancy_subb (Z.log2 s6) 0)%expr @ + (#(fancy_subb (Z.log2 s7) 0)%expr @ (#(Z_cast rb)%expr @ b2, - #(Z_cast rx)%expr @ x7, + #(Z_cast rx)%expr @ x8, #(Z_cast ry)%expr @ y)))%expr_pat - else None) - (let (x7, _) := xv in x7) args1 - (v (Compile.reflect x4)) args0 - (v0 (Compile.reflect x5)) args - (v1 (Compile.reflect x6)); - Some (Base x7)); + else None) args3 + (let (x8, _) := xv in x8) args1 + (v (Compile.reflect x5)) args0 + (v0 (Compile.reflect x6)) args + (v1 (Compile.reflect x7)); + Some (Base x8)); Some (fv0 <-- fv; Base fv0)%under_lets else None | None => None end - | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ + | @expr.App _ _ _ s6 _ ($_)%expr _ | @expr.App _ _ _ s6 + _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s6 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s6 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ + | @expr.App _ _ _ s5 _ ($_)%expr _ | @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s5 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s5 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ + | @expr.App _ _ _ s4 _ ($_)%expr _ | @expr.App _ _ _ s4 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s4 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s4 _ (@expr.LetIn _ _ _ _ _ _ _) _ => None | _ => None end + | (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None | _ => None end | _ => None diff --git a/src/strip_literal_casts_rewrite_head.out b/src/strip_literal_casts_rewrite_head.out new file mode 100644 index 000000000..30c18d604 --- /dev/null +++ b/src/strip_literal_casts_rewrite_head.out @@ -0,0 +1,227 @@ +strip_literal_casts_rewrite_head = +match idc in (Compilers.ident t) return (Compile.value' true t) with +| @Literal t v => Base (##v)%expr +| Nat_succ => fun x : expr ℕ => Base (#(Nat_succ)%expr @ x)%expr_pat +| Nat_pred => fun x : expr ℕ => Base (#(Nat_pred)%expr @ x)%expr_pat +| Nat_max => fun x x0 : expr ℕ => Base (#(Nat_max)%expr @ x @ x0)%expr_pat +| Nat_mul => fun x x0 : expr ℕ => Base (#(Nat_mul)%expr @ x @ x0)%expr_pat +| Nat_add => fun x x0 : expr ℕ => Base (#(Nat_add)%expr @ x @ x0)%expr_pat +| Nat_sub => fun x x0 : expr ℕ => Base (#(Nat_sub)%expr @ x @ x0)%expr_pat +| Nat_eqb => fun x x0 : expr ℕ => Base (#(Nat_eqb)%expr @ x @ x0)%expr_pat +| @nil t => Base []%expr_pat +| @cons t => fun (x : expr t) (x0 : expr (list t)) => Base (x :: x0)%expr_pat +| @pair A B => fun (x : expr A) (x0 : expr B) => Base (x, x0)%expr_pat +| @fst A B => fun x : expr (A * B)%etype => Base (#(fst)%expr @ x)%expr_pat +| @snd A B => fun x : expr (A * B)%etype => Base (#(snd)%expr @ x)%expr_pat +| @prod_rect A B T => + fun (x : expr A -> expr B -> UnderLets (expr T)) + (x0 : expr (A * B)%etype) => + Base + (#(prod_rect)%expr @ + (λ (x1 : var A)(x2 : var B), + to_expr (x ($x1) ($x2)))%expr @ x0)%expr_pat +| @bool_rect T => + fun (x x0 : expr unit -> UnderLets (expr T)) (x1 : expr bool) => + Base + (#(bool_rect)%expr @ (λ x2 : var unit, + to_expr (x ($x2)))%expr @ + (λ x2 : var unit, + to_expr (x0 ($x2)))%expr @ x1)%expr_pat +| @nat_rect P => + fun (x : expr unit -> UnderLets (expr P)) + (x0 : expr ℕ -> expr P -> UnderLets (expr P)) (x1 : expr ℕ) => + Base + (#(nat_rect)%expr @ (λ x2 : var unit, + to_expr (x ($x2)))%expr @ + (λ (x2 : var ℕ)(x3 : var P), + to_expr (x0 ($x2) ($x3)))%expr @ x1)%expr_pat +| @nat_rect_arrow P Q => + fun (x : expr P -> UnderLets (expr Q)) + (x0 : expr ℕ -> + (expr P -> UnderLets (expr Q)) -> expr P -> UnderLets (expr Q)) + (x1 : expr ℕ) (x2 : expr P) => + Base + (#(nat_rect_arrow)%expr @ (λ x3 : var P, + to_expr (x ($x3)))%expr @ + (λ (x3 : var ℕ)(x4 : var (P -> Q)%ptype)(x5 : var P), + to_expr + (x0 ($x3) (fun x6 : expr P => Base ($x4 @ x6)%expr_pat) ($x5)))%expr @ + x1 @ x2)%expr_pat +| @list_rect A P => + fun (x : expr unit -> UnderLets (expr P)) + (x0 : expr A -> expr (list A) -> expr P -> UnderLets (expr P)) + (x1 : expr (list A)) => + Base + (#(list_rect)%expr @ (λ x2 : var unit, + to_expr (x ($x2)))%expr @ + (λ (x2 : var A)(x3 : var (list A))(x4 : var P), + to_expr (x0 ($x2) ($x3) ($x4)))%expr @ x1)%expr_pat +| @list_case A P => + fun (x : expr unit -> UnderLets (expr P)) + (x0 : expr A -> expr (list A) -> UnderLets (expr P)) + (x1 : expr (list A)) => + Base + (#(list_case)%expr @ (λ x2 : var unit, + to_expr (x ($x2)))%expr @ + (λ (x2 : var A)(x3 : var (list A)), + to_expr (x0 ($x2) ($x3)))%expr @ x1)%expr_pat +| @List_length T => + fun x : expr (list T) => Base (#(List_length)%expr @ x)%expr_pat +| List_seq => fun x x0 : expr ℕ => Base (#(List_seq)%expr @ x @ x0)%expr_pat +| @List_firstn A => + fun (x : expr ℕ) (x0 : expr (list A)) => + Base (#(List_firstn)%expr @ x @ x0)%expr_pat +| @List_skipn A => + fun (x : expr ℕ) (x0 : expr (list A)) => + Base (#(List_skipn)%expr @ x @ x0)%expr_pat +| @List_repeat A => + fun (x : expr A) (x0 : expr ℕ) => + Base (#(List_repeat)%expr @ x @ x0)%expr_pat +| @List_combine A B => + fun (x : expr (list A)) (x0 : expr (list B)) => + Base (#(List_combine)%expr @ x @ x0)%expr_pat +| @List_map A B => + fun (x : expr A -> UnderLets (expr B)) (x0 : expr (list A)) => + Base + (#(List_map)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat +| @List_app A => fun x x0 : expr (list A) => Base (x ++ x0)%expr +| @List_rev A => + fun x : expr (list A) => Base (#(List_rev)%expr @ x)%expr_pat +| @List_flat_map A B => + fun (x : expr A -> UnderLets (expr (list B))) (x0 : expr (list A)) => + Base + (#(List_flat_map)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat +| @List_partition A => + fun (x : expr A -> UnderLets (expr bool)) (x0 : expr (list A)) => + Base + (#(List_partition)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat +| @List_fold_right A B => + fun (x : expr B -> expr A -> UnderLets (expr A)) (x0 : expr A) + (x1 : expr (list B)) => + Base + (#(List_fold_right)%expr @ + (λ (x2 : var B)(x3 : var A), + to_expr (x ($x2) ($x3)))%expr @ x0 @ x1)%expr_pat +| @List_update_nth T => + fun (x : expr ℕ) (x0 : expr T -> UnderLets (expr T)) (x1 : expr (list T)) + => + Base + (#(List_update_nth)%expr @ x @ (λ x2 : var T, + to_expr (x0 ($x2)))%expr @ x1)%expr_pat +| @List_nth_default T => + fun (x : expr T) (x0 : expr (list T)) (x1 : expr ℕ) => + Base (#(List_nth_default)%expr @ x @ x0 @ x1)%expr_pat +| Z_add => fun x x0 : expr ℤ => Base (x + x0)%expr +| Z_mul => fun x x0 : expr ℤ => Base (x * x0)%expr +| Z_pow => fun x x0 : expr ℤ => Base (#(Z_pow)%expr @ x @ x0)%expr_pat +| Z_sub => fun x x0 : expr ℤ => Base (x - x0)%expr +| Z_opp => fun x : expr ℤ => Base (- x)%expr +| Z_div => fun x x0 : expr ℤ => Base (x / x0)%expr +| Z_modulo => fun x x0 : expr ℤ => Base (x mod x0)%expr +| Z_log2 => fun x : expr ℤ => Base (#(Z_log2)%expr @ x)%expr_pat +| Z_log2_up => fun x : expr ℤ => Base (#(Z_log2_up)%expr @ x)%expr_pat +| Z_eqb => fun x x0 : expr ℤ => Base (#(Z_eqb)%expr @ x @ x0)%expr_pat +| Z_leb => fun x x0 : expr ℤ => Base (#(Z_leb)%expr @ x @ x0)%expr_pat +| Z_geb => fun x x0 : expr ℤ => Base (#(Z_geb)%expr @ x @ x0)%expr_pat +| Z_of_nat => fun x : expr ℕ => Base (#(Z_of_nat)%expr @ x)%expr_pat +| Z_to_nat => fun x : expr ℤ => Base (#(Z_to_nat)%expr @ x)%expr_pat +| Z_shiftr => fun x x0 : expr ℤ => Base (x >> x0)%expr +| Z_shiftl => fun x x0 : expr ℤ => Base (x << x0)%expr +| Z_land => fun x x0 : expr ℤ => Base (x &' x0)%expr +| Z_lor => fun x x0 : expr ℤ => Base (x || x0)%expr +| Z_bneg => fun x : expr ℤ => Base (#(Z_bneg)%expr @ x)%expr_pat +| Z_lnot_modulo => + fun x x0 : expr ℤ => Base (#(Z_lnot_modulo)%expr @ x @ x0)%expr_pat +| Z_mul_split => + fun x x0 x1 : expr ℤ => Base (#(Z_mul_split)%expr @ x @ x0 @ x1)%expr_pat +| Z_add_get_carry => + fun x x0 x1 : expr ℤ => + Base (#(Z_add_get_carry)%expr @ x @ x0 @ x1)%expr_pat +| Z_add_with_carry => + fun x x0 x1 : expr ℤ => + Base (#(Z_add_with_carry)%expr @ x @ x0 @ x1)%expr_pat +| Z_add_with_get_carry => + fun x x0 x1 x2 : expr ℤ => + Base (#(Z_add_with_get_carry)%expr @ x @ x0 @ x1 @ x2)%expr_pat +| Z_sub_get_borrow => + fun x x0 x1 : expr ℤ => + Base (#(Z_sub_get_borrow)%expr @ x @ x0 @ x1)%expr_pat +| Z_sub_with_get_borrow => + fun x x0 x1 x2 : expr ℤ => + Base (#(Z_sub_with_get_borrow)%expr @ x @ x0 @ x1 @ x2)%expr_pat +| Z_zselect => + fun x x0 x1 : expr ℤ => Base (#(Z_zselect)%expr @ x @ x0 @ x1)%expr_pat +| Z_add_modulo => + fun x x0 x1 : expr ℤ => + Base (#(Z_add_modulo)%expr @ x @ x0 @ x1)%expr_pat +| Z_rshi => + fun x x0 x1 x2 : expr ℤ => + Base (#(Z_rshi)%expr @ x @ x0 @ x1 @ x2)%expr_pat +| Z_cc_m => fun x x0 : expr ℤ => Base (#(Z_cc_m)%expr @ x @ x0)%expr_pat +| Z_cast range => + fun x : expr ℤ => + (match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match pattern.type.unify_extracted ℤ (projT1 args) with + | Some _ => + if type.type_beq base.type base.type.type_beq ℤ (projT1 args) + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x0 <- (if + is_bounded_by_bool (let (x0, _) := xv in x0) + (ZRange.normalize range) + then Some (##(let (x0, _) := xv in x0))%expr + else None); + Some (Base x0)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;;; + Base (#(Z_cast range)%expr @ x)%expr_pat)%option +| Z_cast2 range => + fun x : expr (ℤ * ℤ)%etype => Base (#(Z_cast2 range)%expr @ x)%expr_pat +| fancy_add log2wordmax imm => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_add log2wordmax imm)%expr @ x)%expr_pat +| fancy_addc log2wordmax imm => + fun x : expr (ℤ * ℤ * ℤ)%etype => + Base (#(fancy_addc log2wordmax imm)%expr @ x)%expr_pat +| fancy_sub log2wordmax imm => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_sub log2wordmax imm)%expr @ x)%expr_pat +| fancy_subb log2wordmax imm => + fun x : expr (ℤ * ℤ * ℤ)%etype => + Base (#(fancy_subb log2wordmax imm)%expr @ x)%expr_pat +| fancy_mulll log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mulll log2wordmax)%expr @ x)%expr_pat +| fancy_mullh log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mullh log2wordmax)%expr @ x)%expr_pat +| fancy_mulhl log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mulhl log2wordmax)%expr @ x)%expr_pat +| fancy_mulhh log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mulhh log2wordmax)%expr @ x)%expr_pat +| fancy_rshi log2wordmax x => + fun x0 : expr (ℤ * ℤ)%etype => + Base (#(fancy_rshi log2wordmax x)%expr @ x0)%expr_pat +| fancy_selc => + fun x : expr (ℤ * ℤ * ℤ)%etype => Base (#(fancy_selc)%expr @ x)%expr_pat +| fancy_selm log2wordmax => + fun x : expr (ℤ * ℤ * ℤ)%etype => + Base (#(fancy_selm log2wordmax)%expr @ x)%expr_pat +| fancy_sell => + fun x : expr (ℤ * ℤ * ℤ)%etype => Base (#(fancy_sell)%expr @ x)%expr_pat +| fancy_addm => + fun x : expr (ℤ * ℤ * ℤ)%etype => Base (#(fancy_addm)%expr @ x)%expr_pat +end + : Compile.value' true t |