diff options
Diffstat (limited to 'src/arith_with_casts_rewrite_head.out')
| -rw-r--r-- | src/arith_with_casts_rewrite_head.out | 3060 |
1 files changed, 0 insertions, 3060 deletions
diff --git a/src/arith_with_casts_rewrite_head.out b/src/arith_with_casts_rewrite_head.out deleted file mode 100644 index 6eb141dfc..000000000 --- a/src/arith_with_casts_rewrite_head.out +++ /dev/null @@ -1,3060 +0,0 @@ -arith_with_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 => - ((match x with - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) x1) _ => - args <- invert_bind_args idc Raw.ident.pair; - match - pattern.type.unify_extracted - ((('1 * '2)%pbtype -> '1%pbtype) -> - (('1%pbtype -> '2%pbtype -> ('1 * '2)%pbtype) -> '1%pbtype) -> - '2%pbtype)%ptype - (((A * B)%etype -> A) -> - (((let (x2, _) := args in x2) -> - (let (_, y) := args in y) -> - ((let (x2, _) := args in x2) * (let (_, y) := args in y))%etype) -> - s0) -> s)%ptype - with - | Datatypes.Some (_, _, _, (_, (_, (_, _)), b3, b2))%zrange => - if - type.type_beq base.type base.type.type_beq - (((b3 * b2)%etype -> b3) -> - ((b3 -> b2 -> (b3 * b2)%etype) -> b3) -> b2)%ptype - (((A * B)%etype -> A) -> - (((let (x2, _) := args in x2) -> - (let (_, y) := args in y) -> - ((let (x2, _) := args in x2) * (let (_, y) := args in y))%etype) -> - s0) -> s)%ptype - then - _ <- ident.unify pattern.ident.fst fst; - _ <- ident.unify pattern.ident.pair pair; - v <- type.try_make_transport_cps s0 b3; - _ <- type.try_make_transport_cps s b2; - v1 <- base.try_make_transport_cps b3 b3; - _ <- base.try_make_transport_cps b2 b2; - v3 <- base.try_make_transport_cps b3 A; - v4 <- base.try_make_transport_cps A A; - Datatypes.Some - (fv1 <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - ($(v1 (v (Compile.reflect x1)))); - Base (v4 (v3 fv1)))%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App - _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | - @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (_ @ _)%expr_pat _) _ | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => - Datatypes.None - | @expr.App _ _ _ s _ #(_)%expr_pat _ | @expr.App _ _ _ s _ ($_)%expr - _ | @expr.App _ _ _ s _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s - _ (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end;; - Datatypes.None);;; - Base (#(fst)%expr @ x)%expr_pat)%option -| @snd A B => - fun x : expr (A * B)%etype => - ((match x with - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) _) x0 => - args <- invert_bind_args idc Raw.ident.pair; - match - pattern.type.unify_extracted - ((('1 * '2)%pbtype -> '2%pbtype) -> - (('1%pbtype -> '2%pbtype -> ('1 * '2)%pbtype) -> '1%pbtype) -> - '2%pbtype)%ptype - (((A * B)%etype -> B) -> - (((let (x2, _) := args in x2) -> - (let (_, y) := args in y) -> - ((let (x2, _) := args in x2) * (let (_, y) := args in y))%etype) -> - s0) -> s)%ptype - with - | Datatypes.Some (_, _, _, (_, (_, (_, _)), b3, b2))%zrange => - if - type.type_beq base.type base.type.type_beq - (((b3 * b2)%etype -> b2) -> - ((b3 -> b2 -> (b3 * b2)%etype) -> b3) -> b2)%ptype - (((A * B)%etype -> B) -> - (((let (x2, _) := args in x2) -> - (let (_, y) := args in y) -> - ((let (x2, _) := args in x2) * (let (_, y) := args in y))%etype) -> - s0) -> s)%ptype - then - _ <- ident.unify pattern.ident.snd snd; - _ <- ident.unify pattern.ident.pair pair; - _ <- type.try_make_transport_cps s0 b3; - v0 <- type.try_make_transport_cps s b2; - _ <- base.try_make_transport_cps b3 b3; - v2 <- base.try_make_transport_cps b2 b2; - v3 <- base.try_make_transport_cps b2 B; - v4 <- base.try_make_transport_cps B B; - Datatypes.Some - (fv1 <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - ($(v2 (v0 (Compile.reflect x0)))); - Base (v4 (v3 fv1)))%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App - _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | - @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (_ @ _)%expr_pat _) _ | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => - Datatypes.None - | @expr.App _ _ _ s _ #(_)%expr_pat _ | @expr.App _ _ _ s _ ($_)%expr - _ | @expr.App _ _ _ s _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s - _ (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end;; - Datatypes.None);;; - Base (#(snd)%expr @ x)%expr_pat)%option -| @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) ($x5)))%expr @ - x1 @ x2)%expr_pat -| @eager_nat_rect P => - fun (x : expr unit -> UnderLets (expr P)) - (x0 : expr ℕ -> expr P -> UnderLets (expr P)) (x1 : expr ℕ) => - Base - (#(eager_nat_rect)%expr @ (λ x2 : var unit, - to_expr (x ($x2)))%expr @ - (λ (x2 : var ℕ)(x3 : var P), - to_expr (x0 ($x2) ($x3)))%expr @ x1)%expr_pat -| @eager_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 - (#(eager_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_rect_arrow A P Q => - fun (x : expr P -> UnderLets (expr Q)) - (x0 : expr A -> - expr (list A) -> - (expr P -> UnderLets (expr Q)) -> expr P -> UnderLets (expr Q)) - (x1 : expr (list A)) (x2 : expr P) => - Base - (#(list_rect_arrow)%expr @ (λ x3 : var P, - to_expr (x ($x3)))%expr @ - (λ (x3 : var A)(x4 : var (list A))(x5 : var (P -> Q)%ptype)(x6 : - var P), - to_expr - (x0 ($x3) ($x4) (fun x7 : expr P => Base ($x5 @ x7)%expr_pat) ($x6)))%expr @ - x1 @ x2)%expr_pat -| @eager_list_rect A P => - fun (x : expr unit -> UnderLets (expr P)) - (x0 : expr A -> expr (list A) -> expr P -> UnderLets (expr P)) - (x1 : expr (list A)) => - Base - (#(eager_list_rect)%expr @ (λ x2 : var unit, - to_expr (x ($x2)))%expr @ - (λ (x2 : var A)(x3 : var (list A))(x4 : var P), - to_expr (x0 ($x2) ($x3) ($x4)))%expr @ x1)%expr_pat -| @eager_list_rect_arrow A P Q => - fun (x : expr P -> UnderLets (expr Q)) - (x0 : expr A -> - expr (list A) -> - (expr P -> UnderLets (expr Q)) -> expr P -> UnderLets (expr Q)) - (x1 : expr (list A)) (x2 : expr P) => - Base - (#(eager_list_rect_arrow)%expr @ (λ x3 : var P, - to_expr (x ($x3)))%expr @ - (λ (x3 : var A)(x4 : var (list A))(x5 : var (P -> Q)%ptype)(x6 : - var P), - to_expr - (x0 ($x3) ($x4) (fun x7 : expr P => Base ($x5 @ x7)%expr_pat) ($x6)))%expr @ - x1 @ x2)%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 ($x2)))%expr @ x1)%expr_pat -| @List_nth_default T => - fun (x : expr T) (x0 : expr (list T)) (x1 : expr ℕ) => - Base (#(List_nth_default)%expr @ x @ x0 @ x1)%expr_pat -| @eager_List_nth_default T => - fun (x : expr T) (x0 : expr (list T)) (x1 : expr ℕ) => - Base (#(eager_List_nth_default)%expr @ x @ x0 @ x1)%expr_pat -| Z_add => - fun x x0 : expr ℤ => - (((match x with - | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => - args <- invert_bind_args idc0 Raw.ident.Literal; - args0 <- invert_bind_args idc Raw.ident.Z_cast; - match - pattern.type.unify_extracted (ℤ -> ℤ)%ptype - ((projT1 args) -> ℤ)%ptype - with - | Datatypes.Some (_, _)%zrange => - if - type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype - ((projT1 args) -> ℤ)%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (if - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x2, _) := xv in x2) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - ($x0)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x0 with - | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => - args <- invert_bind_args idc0 Raw.ident.Literal; - args0 <- invert_bind_args idc Raw.ident.Z_cast; - match - pattern.type.unify_extracted (ℤ -> ℤ)%ptype - (ℤ -> (projT1 args))%ptype - with - | Datatypes.Some (_, _)%zrange => - if - type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype - (ℤ -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (if - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x2, _) := xv in x2) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - ($x)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.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 => - Datatypes.None - | _ => Datatypes.None - end);; - Datatypes.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 _ _ _ 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 - | Datatypes.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 <- (if - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x2, _) := xv in x2) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (- $x0)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end);; - match x0 with - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ - (@expr.Ident _ _ _ t3 idc3) x4))%expr_pat => - args <- invert_bind_args idc3 Raw.ident.Z_cast; - _ <- invert_bind_args idc2 Raw.ident.Z_opp; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - args3 <- invert_bind_args idc Raw.ident.Z_cast; - match - pattern.type.unify_extracted (ℤ -> ℤ)%ptype - ((projT1 args2) -> s2)%ptype - with - | Datatypes.Some (_, _)%zrange => - if - type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype - ((projT1 args2) -> s2)%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args2); - v <- type.try_make_transport_cps s2 ℤ; - fv <- (if - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange && - is_bounded_by_bool 0 (ZRange.normalize args3) && - ((let (x5, _) := xv in x5) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (#(Z_cast args)%expr @ - ($(v (Compile.reflect x4)))%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ ($_)%expr _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s2 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => Datatypes.None - | (@expr.Ident _ _ _ t1 idc1 @ (@expr.Ident _ _ _ t2 idc2 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ - (@expr.Ident _ _ _ t2 idc2 @ ($_)%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 => - Datatypes.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 => - Datatypes.None - | _ => Datatypes.None - end - | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - Datatypes.None);;; - Base (x - x0)%expr)%option -| Z_opp => - fun x : expr ℤ => - ((match x with - | (@expr.Ident _ _ _ t idc @ - (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ - (@expr.Ident _ _ _ t1 idc1) x2))%expr_pat => - args <- invert_bind_args idc1 Raw.ident.Z_cast; - _ <- invert_bind_args idc0 Raw.ident.Z_opp; - args1 <- invert_bind_args idc Raw.ident.Z_cast; - match pattern.type.unify_extracted ℤ s1 with - | Datatypes.Some _ => - if type.type_beq base.type base.type.type_beq ℤ s1 - then - v <- type.try_make_transport_cps s1 ℤ; - fv <- (if - (ZRange.normalize args <=? - ZRange.normalize args1)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (#(Z_cast args)%expr @ - ($(v (Compile.reflect x2)))%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t idc @ - (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ ($_)%expr _))%expr_pat | - (@expr.Ident _ _ _ t idc @ - (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t idc @ - (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t idc @ - (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => Datatypes.None - | (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t idc @ - (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t idc @ - (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t idc @ #(_))%expr_pat | - (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t idc @ (($_)%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 | - (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - Datatypes.None);;; - Base (- x)%expr)%option -| 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_ltb => fun x x0 : expr ℤ => Base (#(Z_ltb)%expr @ x @ x0)%expr_pat -| Z_geb => fun x x0 : expr ℤ => Base (#(Z_geb)%expr @ x @ x0)%expr_pat -| Z_gtb => fun x x0 : expr ℤ => Base (#(Z_gtb)%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 => - (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 - | Datatypes.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 <- (if - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x2, _) := xv in x2) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false ##0) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;;; - Base (x << x0)%expr)%option -| Z_land => fun x x0 : expr ℤ => Base (x &' x0)%expr -| Z_lor => fun x x0 : expr ℤ => Base (x || x0)%expr -| Z_min => fun x x0 : expr ℤ => Base (#(Z_min)%expr @ x @ x0)%expr_pat -| Z_max => fun x x0 : expr ℤ => Base (#(Z_max)%expr @ x @ x0)%expr_pat -| Z_bneg => fun x : expr ℤ => Base (#(Z_bneg)%expr @ x)%expr_pat -| Z_lnot_modulo => - fun x x0 : expr ℤ => Base (#(Z_lnot_modulo)%expr @ x @ x0)%expr_pat -| Z_mul_split => - fun x x0 x1 : expr ℤ => - (((match x0 with - | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => - args <- invert_bind_args idc0 Raw.ident.Literal; - args0 <- invert_bind_args idc Raw.ident.Z_cast; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((ℤ -> (projT1 args)) -> ℤ)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((ℤ -> (projT1 args)) -> ℤ)%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (if - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x3, _) := xv in x3) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (#(Z_cast r[0 ~> 0])%expr @ (##0)%expr, - #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t idc @ ($_)%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 => - Datatypes.None - | _ => Datatypes.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 - ((ℤ -> ℤ) -> (projT1 args))%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((ℤ -> ℤ) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (if - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x3, _) := xv in x3) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (#(Z_cast r[0 ~> 0])%expr @ (##0)%expr, - #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | _ => Datatypes.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 - | Datatypes.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 <- (if - is_bounded_by_bool 1 - (ZRange.normalize args0) && - is_bounded_by_bool - (let (x5, _) := xv in x5) - (ZRange.normalize args2) && - (ZRange.normalize args3 <=? - r[0 ~> (let (x5, _) := xv in x5) - 1])%zrange && - ((let (x5, _) := xv0 in x5) =? 1) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (#(Z_cast args3)%expr @ - ($(v (Compile.reflect x2)))%expr, - #(Z_cast r[0 ~> 0])%expr @ - (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | _ => Datatypes.None - end;; - match x2 with - | @expr.Ident _ _ _ t3 idc3 => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Z_cast; - args3 <- invert_bind_args idc Raw.ident.Z_cast; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s1) -> (projT1 args))%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args1) -> s1) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - v <- type.try_make_transport_cps s1 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (if - is_bounded_by_bool 1 - (ZRange.normalize args3) && - is_bounded_by_bool - (let (x5, _) := xv in x5) - (ZRange.normalize args2) && - (ZRange.normalize args0 <=? - r[0 ~> (let (x5, _) := xv in x5) - 1])%zrange && - ((let (x5, _) := xv0 in x5) =? 1) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (#(Z_cast args0)%expr @ - ($(v (Compile.reflect x4)))%expr, - #(Z_cast r[0 ~> 0])%expr @ - (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | _ => Datatypes.None - end - | @expr.App _ _ _ s1 _ ($_)%expr _ | @expr.App _ _ _ s1 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s1 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s1 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end - | (@expr.Ident _ _ _ t0 idc0 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ (_ @ _)%expr_pat _ | - @expr.App _ _ _ s _ (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end);; - Datatypes.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 _ _ _ t0 idc0)%expr_pat => - match x0 with - | @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 - | Datatypes.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 <- (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 - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - ((##(Datatypes.fst - (Z.add_get_carry_full - (let (x5, _) := xv in - x5) - (let (x5, _) := xv0 in - x5) - (let (x5, _) := xv1 in - x5))))%expr, - (##(Datatypes.snd - (Z.add_get_carry_full - (let (x5, _) := xv in x5) - (let (x5, _) := xv0 in - x5) - (let (x5, _) := xv1 in - x5))))%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some - (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | _ => Datatypes.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 - | Datatypes.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 <- (if - is_bounded_by_bool - (let (x5, _) := xv in x5) - (ZRange.normalize args3) && - is_bounded_by_bool 0 - (ZRange.normalize args1) && - (ZRange.normalize args <=? - r[0 ~> (let (x5, _) := xv in x5) - 1])%zrange && - ((let (x5, _) := xv0 in x5) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (#(Z_cast args)%expr @ - ($(v (Compile.reflect x4)))%expr, - #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s1 _ ($_)%expr _ | @expr.App _ _ _ s1 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s1 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s1 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end - | _ => Datatypes.None - end;; - match x1 with - | (@expr.Ident _ _ _ t2 idc2 @ @expr.Ident _ _ _ t3 idc3)%expr_pat => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Z_cast; - args2 <- invert_bind_args idc0 Raw.ident.Literal; - args3 <- invert_bind_args idc Raw.ident.Z_cast; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args2) -> s0) -> (projT1 args))%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args2) -> s0) -> (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s0 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (if - is_bounded_by_bool (let (x5, _) := xv in x5) - (ZRange.normalize args3) && - is_bounded_by_bool 0 (ZRange.normalize args0) && - (ZRange.normalize args1 <=? - r[0 ~> (let (x5, _) := xv in x5) - 1])%zrange && - ((let (x5, _) := xv0 in x5) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (#(Z_cast args1)%expr @ - ($(v (Compile.reflect x3)))%expr, - #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end - | @expr.App _ _ _ s0 _ ($_)%expr _ | @expr.App _ _ _ s0 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s0 _ (_ @ _)%expr_pat - _ | @expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _ => - Datatypes.None - | _ => Datatypes.None - end - | (@expr.Ident _ _ _ t idc @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t idc @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - Datatypes.None);;; - Base (#(Z_add_get_carry)%expr @ x @ x0 @ x1)%expr_pat)%option -| Z_add_with_carry => - fun x x0 x1 : expr ℤ => - (match x with - | (@expr.Ident _ _ _ t idc @ @expr.Ident _ _ _ t0 idc0)%expr_pat => - args <- invert_bind_args idc0 Raw.ident.Literal; - args0 <- invert_bind_args idc Raw.ident.Z_cast; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - (((projT1 args) -> ℤ) -> ℤ)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype (((projT1 args) -> ℤ) -> ℤ)%ptype - then - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - fv <- (if - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x3, _) := xv in x3) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - ($x0 + $x1)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t idc @ ($_)%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 => - Datatypes.None - | _ => Datatypes.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 _ _ _ t0 idc0)%expr_pat => - match x0 with - | (@expr.Ident _ _ _ t1 idc1 @ @expr.Ident _ _ _ t2 idc2)%expr_pat => - match x1 with - | @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 - | Datatypes.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 <- (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 - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota - var) false - ((##(Datatypes.fst - (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))))%expr, - (##(Datatypes.snd - (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))))%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some - (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | _ => Datatypes.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 - | Datatypes.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 <- (if - is_bounded_by_bool - (let (x7, _) := xv in x7) - (ZRange.normalize args5) && - is_bounded_by_bool 0 - (ZRange.normalize args3) && - is_bounded_by_bool 0 - (ZRange.normalize args1) && - (ZRange.normalize args <=? - r[0 ~> (let (x7, _) := xv in x7) - 1])%zrange && - ((let (x7, _) := xv0 in x7) =? 0) && - ((let (x7, _) := xv1 in x7) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (#(Z_cast args)%expr @ - ($(v (Compile.reflect x6)))%expr, - #(Z_cast r[0 ~> 0])%expr @ - (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s2 _ ($_)%expr _ | @expr.App _ _ _ s2 - _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s2 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s2 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end - | _ => Datatypes.None - end;; - match x2 with - | (@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 args4) -> (projT1 args2)) -> s1) -> - (projT1 args))%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args4) -> (projT1 args2)) -> s1) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args4); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v <- type.try_make_transport_cps s1 ℤ; - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (if - is_bounded_by_bool - (let (x7, _) := xv in x7) - (ZRange.normalize args5) && - is_bounded_by_bool 0 - (ZRange.normalize args3) && - is_bounded_by_bool 0 - (ZRange.normalize args0) && - (ZRange.normalize args1 <=? - r[0 ~> (let (x7, _) := xv in x7) - 1])%zrange && - ((let (x7, _) := xv0 in x7) =? 0) && - ((let (x7, _) := xv1 in x7) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (#(Z_cast args1)%expr @ - ($(v (Compile.reflect x5)))%expr, - #(Z_cast r[0 ~> 0])%expr @ (##0)%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t4 idc4 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end - | @expr.App _ _ _ s1 _ ($_)%expr _ | @expr.App _ _ _ s1 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s1 _ - (_ @ _)%expr_pat _ | @expr.App _ _ _ s1 _ - (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end - | (@expr.Ident _ _ _ t1 idc1 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.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 => - Datatypes.None - | _ => Datatypes.None - end;;; - Base (#(Z_add_with_get_carry)%expr @ x @ x0 @ x1 @ x2)%expr_pat)%option -| 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_combine_at_bitwidth => - fun x x0 x1 : expr ℤ => - Base (#(Z_combine_at_bitwidth)%expr @ x @ x0 @ x1)%expr_pat -| Z_cast range => - fun x : expr ℤ => - (((match pattern.type.unify_extracted ℤ ℤ with - | Datatypes.Some _ => - if type.type_beq base.type base.type.type_beq ℤ ℤ - then - fv <- (if lower range =? upper range - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (#(Z_cast range)%expr @ (##(lower range))%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end;; - match x with - | @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 - | Datatypes.Some _ => - if type.type_beq base.type base.type.type_beq ℤ s - then - v <- type.try_make_transport_cps s ℤ; - fv <- (if - (ZRange.normalize args <=? ZRange.normalize range)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (#(Z_cast args)%expr @ - ($(v (Compile.reflect x0)))%expr)%expr_pat) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @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; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> s0) -> s)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s)%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - Datatypes.Some - (fv <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v2 := (#(Z_cast range)%expr @ - (#(Z_add_with_carry)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v0 (Compile.reflect x1)))%expr @ - ($(v1 (Compile.reflect x0)))%expr))%expr_pat in - (#(Z_cast range)%expr @ $v2)%expr_pat); - Base fv)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ ($_)%expr _) _) _ | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ (@expr.Abs _ _ _ _ _ _) _) _) _ | @expr.App _ - _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ (_ @ _)%expr_pat _) _) - _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ (@expr.LetIn _ _ _ _ _ _ _) _) _) _ => - Datatypes.None - | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ #(_)%expr_pat _) _ | - @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App - _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => - Datatypes.None - | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ - (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end);; - Datatypes.None);;; - Base (#(Z_cast range)%expr @ x)%expr_pat)%option -| Z_cast2 range => - fun x : expr (ℤ * ℤ)%etype => - (match x with - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) x1) x0 => - args <- invert_bind_args idc Raw.ident.pair; - match - pattern.type.unify_extracted - (((ℤ -> ℤ -> (ℤ * ℤ)%pbtype) -> ℤ) -> ℤ)%ptype - ((((let (x2, _) := args in x2) -> - (let (_, y) := args in y) -> - ((let (x2, _) := args in x2) * (let (_, y) := args in y))%etype) -> - s0) -> s)%ptype - with - | Datatypes.Some (_, (_, (_, _)), _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ -> (ℤ * ℤ)%etype) -> ℤ) -> ℤ)%ptype - ((((let (x2, _) := args in x2) -> - (let (_, y) := args in y) -> - ((let (x2, _) := args in x2) * (let (_, y) := args in y))%etype) -> - s0) -> s)%ptype - then - _ <- ident.unify pattern.ident.pair pair; - v <- type.try_make_transport_cps s0 ℤ; - v0 <- type.try_make_transport_cps s ℤ; - Datatypes.Some - (fv0 <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) true - (#(Z_cast (Datatypes.fst range))%expr @ - ($(v (Compile.reflect x1)))%expr, - #(Z_cast (Datatypes.snd range))%expr @ - ($(v0 (Compile.reflect x0)))%expr)%expr_pat; - fv1 <-- do_again (ℤ * ℤ) fv0; - Base fv1)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t idc) x2) x1) x0 => - (match x1 with - | (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ - (@expr.Ident _ _ _ t2 idc2) x5))%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; - _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> s4) -> s)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s4) -> s)%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - v0 <- type.try_make_transport_cps s4 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - fv <- (if - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_get_borrow)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v1 (Compile.reflect x0)))%expr @ - (#(Z_cast args)%expr @ - ($(v0 (Compile.reflect x5)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ ($_)%expr _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => Datatypes.None - | (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t0 idc0 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x0 with - | (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ - (@expr.Ident _ _ _ t2 idc2) x5))%expr_pat => - args <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_opp; - args1 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> s0) -> s4)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s4)%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s4 ℤ; - fv <- (if - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_get_borrow)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v0 (Compile.reflect x1)))%expr @ - (#(Z_cast args)%expr @ - ($(v1 (Compile.reflect x5)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ ($_)%expr _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => Datatypes.None - | (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ - (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t0 idc0 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x1 with - | (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1)%expr_pat => - args <- invert_bind_args idc1 Raw.ident.Literal; - args0 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> (projT1 args)) -> s)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> (projT1 args)) -> s)%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - xv <- ident.unify pattern.ident.Literal ##(projT2 args); - v0 <- type.try_make_transport_cps s ℤ; - fv <- (if - is_bounded_by_bool (let (x4, _) := xv in x4) - (ZRange.normalize args0) && - ((let (x4, _) := xv in x4) <? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v1 := (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_get_borrow)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v0 (Compile.reflect x0)))%expr @ - (#(Z_cast (- args0))%expr @ - (##(- - (let (x4, _) := xv in - x4))%Z)%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v1)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v1)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t0 idc0 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end;; - match x0 with - | (@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 - ((s1 -> s0) -> (projT1 args))%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> s0) -> (projT1 args))%ptype - then - 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 - is_bounded_by_bool (let (x4, _) := xv in x4) - (ZRange.normalize args0) && - ((let (x4, _) := xv in x4) <? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v1 := (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - (#(Z_sub_get_borrow)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v0 (Compile.reflect x1)))%expr @ - (#(Z_cast (- args0))%expr @ - (##(- - (let (x4, _) := xv in - x4))%Z)%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v1)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ $v1)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t0 idc0 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end;; - _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> s0) -> s)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s)%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - Datatypes.Some - (fv <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v2 := (#(Z_cast2 range)%expr @ - (#(Z_add_get_carry)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v0 (Compile.reflect x1)))%expr @ - ($(v1 (Compile.reflect x0)))%expr))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ (#(Z_cast2 range)%expr @ $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (#(snd)%expr @ (#(Z_cast2 range)%expr @ $v2)))%expr_pat); - Base fv)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end);; - (_ <- invert_bind_args idc Raw.ident.Z_sub_get_borrow; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> s0) -> s)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s)%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - Datatypes.Some - (fv <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v2 := (#(Z_cast2 range)%expr @ - (#(Z_sub_get_borrow)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v0 (Compile.reflect x1)))%expr @ - ($(v1 (Compile.reflect x0)))%expr))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ (#(Z_cast2 range)%expr @ $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (#(snd)%expr @ (#(Z_cast2 range)%expr @ $v2)))%expr_pat); - Base fv)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end);; - _ <- invert_bind_args idc Raw.ident.Z_mul_split; - match - pattern.type.unify_extracted ((ℤ -> ℤ) -> ℤ)%ptype - ((s1 -> s0) -> s)%ptype - with - | Datatypes.Some (_, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s)%ptype - then - v <- type.try_make_transport_cps s1 ℤ; - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - Datatypes.Some - (fv <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v2 := (#(Z_cast2 range)%expr @ - (#(Z_mul_split)%expr @ - ($(v (Compile.reflect x2)))%expr @ - ($(v0 (Compile.reflect x1)))%expr @ - ($(v1 (Compile.reflect x0)))%expr))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ (#(Z_cast2 range)%expr @ $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (#(snd)%expr @ (#(Z_cast2 range)%expr @ $v2)))%expr_pat); - Base fv)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t idc) x3) x2) x1) x0 => - (match x2 with - | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t0 idc0) x4 => - match x4 with - | @expr.Ident _ _ _ t1 idc1 => - match x1 with - | (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7))%expr_pat => - (args <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_opp; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; - args2 <- invert_bind_args idc1 Raw.ident.Literal; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s6) -> s)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s6) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s6 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - fv <- (if - is_bounded_by_bool 0 - (ZRange.normalize args3) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange && - ((let (x8, _) := xv in x8) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - ($(v1 - (Compile.reflect - x0)))%expr @ - (#(Z_cast args)%expr @ - ($(v0 - (Compile.reflect - x7)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end);; - args <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_opp; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; - args2 <- invert_bind_args idc1 Raw.ident.Literal; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s6) -> s)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s6) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s6 ℤ; - v1 <- type.try_make_transport_cps s ℤ; - fv <- (if - ((let (x8, _) := xv in x8) <? 0) && - is_bounded_by_bool - (let (x8, _) := xv in x8) - (ZRange.normalize args3) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast (- args3))%expr @ - (##(- - (let - (x8, _) := - xv in - x8))%Z)%expr) @ - ($(v1 - (Compile.reflect - x0)))%expr @ - (#(Z_cast args)%expr @ - ($(v0 - (Compile.reflect - x7)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - ($_)%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 => - Datatypes.None - | (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t2 idc2 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x0 with - | (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - (@expr.Ident _ _ _ t4 idc4) x7))%expr_pat => - (args <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_opp; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; - args2 <- invert_bind_args idc1 Raw.ident.Literal; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s6 ℤ; - fv <- (if - is_bounded_by_bool 0 - (ZRange.normalize args3) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange && - ((let (x8, _) := xv in x8) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - ($(v0 - (Compile.reflect - x1)))%expr @ - (#(Z_cast args)%expr @ - ($(v1 - (Compile.reflect - x7)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end);; - args <- invert_bind_args idc4 Raw.ident.Z_cast; - _ <- invert_bind_args idc3 Raw.ident.Z_opp; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; - args2 <- invert_bind_args idc1 Raw.ident.Literal; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args2)) -> s0) -> s6)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args2); - v0 <- type.try_make_transport_cps s0 ℤ; - v1 <- type.try_make_transport_cps s6 ℤ; - fv <- (if - ((let (x8, _) := xv in x8) <? 0) && - is_bounded_by_bool - (let (x8, _) := xv in x8) - (ZRange.normalize args3) && - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast (- args3))%expr @ - (##(- - (let - (x8, _) := - xv in - x8))%Z)%expr) @ - ($(v0 - (Compile.reflect - x1)))%expr @ - (#(Z_cast args)%expr @ - ($(v1 - (Compile.reflect - x7)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.App _ _ _ s6 _ - ($_)%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 => - Datatypes.None - | (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t2 idc2 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x1 with - | (@expr.Ident _ _ _ t2 idc2 @ @expr.Ident _ _ _ t3 idc3)%expr_pat => - args <- invert_bind_args idc3 Raw.ident.Literal; - args0 <- invert_bind_args idc2 Raw.ident.Z_cast; - args1 <- invert_bind_args idc1 Raw.ident.Literal; - args2 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args1)) -> (projT1 args)) -> s)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args1)) -> (projT1 args)) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args); - v0 <- type.try_make_transport_cps s ℤ; - fv <- (if - ((let (x6, _) := xv0 in x6) <=? 0) && - ((let (x6, _) := xv in x6) <=? 0) && - ((let (x6, _) := xv0 in x6) + - (let (x6, _) := xv in x6) <? 0) && - is_bounded_by_bool - (let (x6, _) := xv0 in x6) - (ZRange.normalize args0) && - is_bounded_by_bool - (let (x6, _) := xv in x6) - (ZRange.normalize args2) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v1 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast (- args2))%expr @ - (##(- - (let - (x6, _) := - xv in - x6))%Z)%expr) @ - ($(v0 - (Compile.reflect - x0)))%expr @ - (#(Z_cast (- args0))%expr @ - (##(- - (let - (x6, _) := - xv0 in - x6))%Z)%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v1)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v1)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t2 idc2 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.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 - | Datatypes.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 - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v1 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast (- args2))%expr @ - (##(- - (let - (x6, _) := - xv in - x6))%Z)%expr) @ - ($(v0 - (Compile.reflect - x1)))%expr @ - (#(Z_cast (- args0))%expr @ - (##(- - (let - (x6, _) := - xv0 in - x6))%Z)%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v1)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v1)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t2 idc2 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end;; - 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_with_get_carry; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> (projT1 args)) -> s0) -> s)%ptype - with - | Datatypes.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 - is_bounded_by_bool 0 (ZRange.normalize args0) && - ((let (x5, _) := xv in x5) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v2 := (#(Z_cast2 range)%expr @ - (#(Z_add_get_carry)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - ($(v0 - (Compile.reflect - x1)))%expr @ - ($(v1 - (Compile.reflect - x0)))%expr))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 range)%expr @ $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 range)%expr @ $v2)))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ - (@expr.Ident _ _ _ t2 idc2) x6)%expr_pat => - match x1 with - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9))%expr_pat => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_opp; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_opp; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s5) -> s8) -> s)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s5) -> s8) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s5 ℤ; - v1 <- type.try_make_transport_cps s8 ℤ; - v2 <- type.try_make_transport_cps s ℤ; - fv <- (if - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange && - (ZRange.normalize args2 <=? - - ZRange.normalize args4)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v3 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast args2)%expr @ - ($(v0 - (Compile.reflect - x6)))%expr) @ - ($(v2 - (Compile.reflect - x0)))%expr @ - (#(Z_cast args)%expr @ - ($(v1 - (Compile.reflect - x9)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v3)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v3)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - ($_)%expr _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t3 idc3 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x0 with - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Ident _ _ _ t5 idc5) x9))%expr_pat => - args <- invert_bind_args idc5 Raw.ident.Z_cast; - _ <- invert_bind_args idc4 Raw.ident.Z_opp; - args1 <- invert_bind_args idc3 Raw.ident.Z_cast; - args2 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_opp; - args4 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s5) -> s0) -> s8)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s5) -> s0) -> s8)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s5 ℤ; - v1 <- type.try_make_transport_cps s0 ℤ; - v2 <- type.try_make_transport_cps s8 ℤ; - fv <- (if - (ZRange.normalize args <=? - - ZRange.normalize args1)%zrange && - (ZRange.normalize args2 <=? - - ZRange.normalize args4)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v3 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast args2)%expr @ - ($(v0 - (Compile.reflect - x6)))%expr) @ - ($(v1 - (Compile.reflect - x1)))%expr @ - (#(Z_cast args)%expr @ - ($(v2 - (Compile.reflect - x9)))%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v3)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v3)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - ($_)%expr _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.Abs _ _ _ _ _ _) _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (_ @ _) _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ - (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ #(_)))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => - Datatypes.None - | (@expr.Ident _ _ _ t3 idc3 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (($_)%expr @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (_ @ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ - (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x1 with - | (@expr.Ident _ _ _ t3 idc3 @ @expr.Ident _ _ _ t4 idc4)%expr_pat => - args <- invert_bind_args idc4 Raw.ident.Literal; - args0 <- invert_bind_args idc3 Raw.ident.Z_cast; - args1 <- invert_bind_args idc2 Raw.ident.Z_cast; - _ <- invert_bind_args idc1 Raw.ident.Z_opp; - args3 <- invert_bind_args idc0 Raw.ident.Z_cast; - _ <- invert_bind_args idc - Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s5) -> (projT1 args)) -> s)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s5) -> (projT1 args)) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s5 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args); - v1 <- type.try_make_transport_cps s ℤ; - fv <- (if - ((let (x8, _) := xv in x8) <=? 0) && - is_bounded_by_bool - (let (x8, _) := xv in x8) - (ZRange.normalize args0) && - (ZRange.normalize args1 <=? - - ZRange.normalize args3)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast args1)%expr @ - ($(v0 - (Compile.reflect - x6)))%expr) @ - ($(v1 - (Compile.reflect - x0)))%expr @ - (#(Z_cast (- args0))%expr @ - (##(- - (let - (x8, _) := - xv in - x8))%Z)%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t3 idc3 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end;; - match x0 with - | (@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; - 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 -> s5) -> s0) -> (projT1 args))%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s5) -> s0) -> (projT1 args))%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s5 ℤ; - v1 <- type.try_make_transport_cps s0 ℤ; - xv <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (if - ((let (x8, _) := xv in x8) <=? 0) && - is_bounded_by_bool - (let (x8, _) := xv in x8) - (ZRange.normalize args0) && - (ZRange.normalize args1 <=? - - ZRange.normalize args3)%zrange - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v2 := (#(Z_cast2 - (Datatypes.fst - range, - - - Datatypes.snd - range))%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v - (Compile.reflect - x3)))%expr @ - (#(Z_cast args1)%expr @ - ($(v0 - (Compile.reflect - x6)))%expr) @ - ($(v1 - (Compile.reflect - x1)))%expr @ - (#(Z_cast (- args0))%expr @ - (##(- - (let - (x8, _) := - xv in - x8))%Z)%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)), - #(Z_cast (Datatypes.snd range))%expr @ - (- - (#(Z_cast (- Datatypes.snd range))%expr @ - (#(snd)%expr @ - (#(Z_cast2 - (Datatypes.fst range, - - Datatypes.snd range))%expr @ - $v2)))%expr_pat))%expr_pat)) - else Datatypes.None); - Datatypes.Some (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t3 idc3 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end - | (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ ($_)%expr _)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ - (@expr.Abs _ _ _ _ _ _) _)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ (_ @ _) _)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ - (@expr.LetIn _ _ _ _ _ _ _) _)%expr_pat => Datatypes.None - | (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end;; - match x3 with - | (@expr.Ident _ _ _ t1 idc1 @ @expr.Ident _ _ _ t2 idc2)%expr_pat => - match x1 with - | (@expr.Ident _ _ _ t3 idc3 @ @expr.Ident _ _ _ t4 idc4)%expr_pat => - 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.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 args3) -> s3) -> (projT1 args1)) -> - (projT1 args))%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - ((((projT1 args3) -> s3) -> (projT1 args1)) -> - (projT1 args))%ptype - then - xv <- ident.unify pattern.ident.Literal - ##(projT2 args3); - v <- type.try_make_transport_cps s3 ℤ; - xv0 <- ident.unify pattern.ident.Literal - ##(projT2 args1); - xv1 <- ident.unify pattern.ident.Literal - ##(projT2 args); - fv <- (if - is_bounded_by_bool 0 - (ZRange.normalize args2) && - is_bounded_by_bool 0 - (ZRange.normalize args0) && - (ZRange.normalize args5 <=? - r[0 ~> (let (x8, _) := xv in x8) - 1])%zrange && - is_bounded_by_bool 0 - (ZRange.normalize - (Datatypes.snd range)) && - is_bounded_by_bool - (let (x8, _) := xv in x8) - (ZRange.normalize args4) && - ((let (x8, _) := xv0 in x8) =? 0) && - ((let (x8, _) := xv1 in x8) =? 0) - then - Datatypes.Some - (Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) - false - (expr_let v0 := (#(Z_cast2 range)%expr @ - (#(Z_add_with_get_carry)%expr @ - (#(Z_cast args4)%expr @ - (##(let - (x8, - _) := - xv in - x8))%expr) @ - (#(Z_cast args5)%expr @ - ($(v - (Compile.reflect - x4)))%expr) @ - (#(Z_cast args2)%expr @ - (##0)%expr) @ - (#(Z_cast args0)%expr @ - (##0)%expr)))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ - (#(Z_cast2 range)%expr @ $v0)), - #(Z_cast r[0 ~> 0])%expr @ ##0)%expr_pat)) - else Datatypes.None); - Datatypes.Some - (fv0 <-- fv; - Base fv0)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | (@expr.Ident _ _ _ t5 idc5 @ ($_)%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 => Datatypes.None - | _ => Datatypes.None - end - | (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ (_ @ _))%expr_pat | - (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => - Datatypes.None - | _ => Datatypes.None - end - | (@expr.Ident _ _ _ t1 idc1 @ ($_)%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 => - Datatypes.None - | _ => Datatypes.None - end - | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ - (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ (_ @ _)%expr_pat - _ | @expr.App _ _ _ s3 _ (@expr.LetIn _ _ _ _ _ _ _) _ => - Datatypes.None - | _ => Datatypes.None - end;; - _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s1) -> s0) -> s)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype (((s2 -> s1) -> s0) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s1 ℤ; - v1 <- type.try_make_transport_cps s0 ℤ; - v2 <- type.try_make_transport_cps s ℤ; - Datatypes.Some - (fv <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v3 := (#(Z_cast2 range)%expr @ - (#(Z_add_with_get_carry)%expr @ - ($(v (Compile.reflect x3)))%expr @ - ($(v0 (Compile.reflect x2)))%expr @ - ($(v1 (Compile.reflect x1)))%expr @ - ($(v2 (Compile.reflect x0)))%expr))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ (#(Z_cast2 range)%expr @ $v3)), - #(Z_cast (Datatypes.snd range))%expr @ - (#(snd)%expr @ (#(Z_cast2 range)%expr @ $v3)))%expr_pat); - Base fv)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end);; - _ <- invert_bind_args idc Raw.ident.Z_sub_with_get_borrow; - match - pattern.type.unify_extracted (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype - (((s2 -> s1) -> s0) -> s)%ptype - with - | Datatypes.Some (_, _, _, _)%zrange => - if - type.type_beq base.type base.type.type_beq - (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype (((s2 -> s1) -> s0) -> s)%ptype - then - v <- type.try_make_transport_cps s2 ℤ; - v0 <- type.try_make_transport_cps s1 ℤ; - v1 <- type.try_make_transport_cps s0 ℤ; - v2 <- type.try_make_transport_cps s ℤ; - Datatypes.Some - (fv <-- Reify.expr_value_to_rewrite_rule_replacement - (@Compile.reflect_ident_iota var) false - (expr_let v3 := (#(Z_cast2 range)%expr @ - (#(Z_sub_with_get_borrow)%expr @ - ($(v (Compile.reflect x3)))%expr @ - ($(v0 (Compile.reflect x2)))%expr @ - ($(v1 (Compile.reflect x1)))%expr @ - ($(v2 (Compile.reflect x0)))%expr))%expr_pat in - (#(Z_cast (Datatypes.fst range))%expr @ - (#(fst)%expr @ (#(Z_cast2 range)%expr @ $v3)), - #(Z_cast (Datatypes.snd range))%expr @ - (#(snd)%expr @ (#(Z_cast2 range)%expr @ $v3)))%expr_pat); - Base fv)%under_lets - else Datatypes.None - | Datatypes.None => Datatypes.None - end - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ (@expr.App _ _ _ s2 _ ($_)%expr _) _) _) _ | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.App _ _ _ s2 _ (@expr.Abs _ _ _ _ _ _) _) _) _) _ | @expr.App - _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ (@expr.App _ _ _ s2 _ (_ @ _)%expr_pat _) _) _) - _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ - (@expr.App _ _ _ s2 _ (@expr.LetIn _ _ _ _ _ _ _) _) _) _) _ => - Datatypes.None - | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ ($_)%expr _) _) _ | - @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ (@expr.Abs _ _ _ _ _ _) _) - _) _ | @expr.App _ _ _ s _ - (@expr.App _ _ _ s0 _ - (@expr.App _ _ _ s1 _ (@expr.LetIn _ _ _ _ _ _ _) _) _) _ => - Datatypes.None - | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App _ - _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | @expr.App - _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => - Datatypes.None - | @expr.App _ _ _ s _ #(_)%expr_pat _ | @expr.App _ _ _ s _ ($_)%expr - _ | @expr.App _ _ _ s _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s - _ (@expr.LetIn _ _ _ _ _ _ _) _ => Datatypes.None - | _ => Datatypes.None - end;;; - Base (#(Z_cast2 range)%expr @ x)%expr_pat)%option -| Some A => fun x : expr A => Base (#(Some)%expr @ x)%expr_pat -| None A => Base #(None)%expr -| @option_rect A P => - fun (x : expr A -> UnderLets (expr P)) - (x0 : expr unit -> UnderLets (expr P)) (x1 : expr (base.type.option A)) - => - Base - (#(option_rect)%expr @ (λ x2 : var A, - to_expr (x ($x2)))%expr @ - (λ x2 : var unit, - to_expr (x0 ($x2)))%expr @ x1)%expr_pat -| Build_zrange => - fun x x0 : expr ℤ => Base (#(Build_zrange)%expr @ x @ x0)%expr_pat -| @zrange_rect P => - fun (x : expr ℤ -> expr ℤ -> UnderLets (expr P)) - (x0 : expr base.type.zrange) => - Base - (#(zrange_rect)%expr @ (λ x1 x2 : var ℤ, - to_expr (x ($x1) ($x2)))%expr @ x0)%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 |