diff options
Diffstat (limited to 'src/arith_with_casts_rewrite_head.out')
| -rw-r--r-- | src/arith_with_casts_rewrite_head.out | 2418 |
1 files changed, 2418 insertions, 0 deletions
diff --git a/src/arith_with_casts_rewrite_head.out b/src/arith_with_casts_rewrite_head.out new file mode 100644 index 000000000..2baf1c5d2 --- /dev/null +++ b/src/arith_with_casts_rewrite_head.out @@ -0,0 +1,2418 @@ +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 +| @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_cps + ((('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 option (fun x2 : option => x2) + with + | 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; + Some (Base (v4 (v3 (v1 (v (Compile.reflect x1)))))) + else None + | None => None + end + | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App + _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | + @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (_ @ _)%expr_pat _) _ | + @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => None + | @expr.App _ _ _ s _ #(_)%expr_pat _ | @expr.App _ _ _ s _ ($_)%expr + _ | @expr.App _ _ _ s _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s + _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end;; + 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_cps + ((('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 option (fun x2 : option => x2) + with + | 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; + Some (Base (v4 (v3 (v2 (v0 (Compile.reflect x0)))))) + else None + | None => None + end + | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App + _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | + @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ (_ @ _)%expr_pat _) _ | + @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => None + | @expr.App _ _ _ s _ #(_)%expr_pat _ | @expr.App _ _ _ s _ ($_)%expr + _ | @expr.App _ _ _ s _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s + _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end;; + 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) ($x5)))%expr @ + x1 @ x2)%expr_pat +| @list_rect A P => + fun (x : expr unit -> UnderLets (expr P)) + (x0 : expr A -> expr (list A) -> expr P -> UnderLets (expr P)) + (x1 : expr (list A)) => + Base + (#(list_rect)%expr @ (λ x2 : var unit, + to_expr (x ($x2)))%expr @ + (λ (x2 : var A)(x3 : var (list A))(x4 : var P), + to_expr (x0 ($x2) ($x3) ($x4)))%expr @ x1)%expr_pat +| @list_case A P => + fun (x : expr unit -> UnderLets (expr P)) + (x0 : expr A -> expr (list A) -> UnderLets (expr P)) + (x1 : expr (list A)) => + Base + (#(list_case)%expr @ (λ x2 : var unit, + to_expr (x ($x2)))%expr @ + (λ (x2 : var A)(x3 : var (list A)), + to_expr (x0 ($x2) ($x3)))%expr @ x1)%expr_pat +| @List_length T => + fun x : expr (list T) => Base (#(List_length)%expr @ x)%expr_pat +| List_seq => fun x x0 : expr ℕ => Base (#(List_seq)%expr @ x @ x0)%expr_pat +| @List_firstn A => + fun (x : expr ℕ) (x0 : expr (list A)) => + Base (#(List_firstn)%expr @ x @ x0)%expr_pat +| @List_skipn A => + fun (x : expr ℕ) (x0 : expr (list A)) => + Base (#(List_skipn)%expr @ x @ x0)%expr_pat +| @List_repeat A => + fun (x : expr A) (x0 : expr ℕ) => + Base (#(List_repeat)%expr @ x @ x0)%expr_pat +| @List_combine A B => + fun (x : expr (list A)) (x0 : expr (list B)) => + Base (#(List_combine)%expr @ x @ x0)%expr_pat +| @List_map A B => + fun (x : expr A -> UnderLets (expr B)) (x0 : expr (list A)) => + Base + (#(List_map)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat +| @List_app A => fun x x0 : expr (list A) => Base (x ++ x0)%expr +| @List_rev A => + fun x : expr (list A) => Base (#(List_rev)%expr @ x)%expr_pat +| @List_flat_map A B => + fun (x : expr A -> UnderLets (expr (list B))) (x0 : expr (list A)) => + Base + (#(List_flat_map)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat +| @List_partition A => + fun (x : expr A -> UnderLets (expr bool)) (x0 : expr (list A)) => + Base + (#(List_partition)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat +| @List_fold_right A B => + fun (x : expr B -> expr A -> UnderLets (expr A)) (x0 : expr A) + (x1 : expr (list B)) => + Base + (#(List_fold_right)%expr @ + (λ (x2 : var B)(x3 : var A), + to_expr (x ($x2) ($x3)))%expr @ x0 @ x1)%expr_pat +| @List_update_nth T => + fun (x : expr ℕ) (x0 : expr T -> UnderLets (expr T)) (x1 : expr (list T)) + => + Base + (#(List_update_nth)%expr @ x @ (λ x2 : var T, + to_expr (x0 ($x2)))%expr @ x1)%expr_pat +| @List_nth_default T => + fun (x : expr T) (x0 : expr (list T)) (x1 : expr ℕ) => + Base (#(List_nth_default)%expr @ x @ x0 @ x1)%expr_pat +| Z_add => fun x x0 : expr ℤ => Base (x + x0)%expr +| Z_mul => fun x x0 : expr ℤ => Base (x * x0)%expr +| Z_pow => fun x x0 : expr ℤ => Base (#(Z_pow)%expr @ x @ x0)%expr_pat +| Z_sub => + fun x x0 : expr ℤ => + ((match x with + | @expr.Ident _ _ _ t idc => + match x0 with + | (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ + (@expr.Ident _ _ _ t2 idc2) x3))%expr_pat => + args <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_opp; + args1 <- invert_bind_args idc0 Raw.ident.Z_cast; + args2 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps (ℤ -> ℤ)%ptype + ((projT1 args2) -> s1)%ptype option (fun x4 : option => x4) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args2) -> s1)%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args2); + v <- type.try_make_transport_cps s1 ℤ; + fv <- (x4 <- (if + ((let (x4, _) := xv in x4) =? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange + then + Some + (#(Z_cast args)%expr @ + v (Compile.reflect x3))%expr_pat + else None); + Some (Base x4)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ ($_)%expr _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s1 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + 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 => + None + | _ => None + end;; + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps (ℤ -> ℤ)%ptype + ((projT1 args) -> ℤ)%ptype option (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args) -> ℤ)%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x1 <- (if (let (x1, _) := xv in x1) =? 0 + then Some (- x0)%expr + else None); + Some (Base x1)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + 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_cps ℤ s1 option + (fun x3 : option => x3) + with + | Some _ => + if type.type_beq base.type base.type.type_beq ℤ s1 + then + v <- type.try_make_transport_cps s1 ℤ; + fv <- (x3 <- (if + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange + then + Some + (#(Z_cast args)%expr @ v (Compile.reflect x2))%expr_pat + else None); + Some (Base x3)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ ($_)%expr _))%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.App _ _ _ s1 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ ($_)%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 => + 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 => + None + | _ => None + end;; + 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_geb => fun x x0 : expr ℤ => Base (#(Z_geb)%expr @ x @ x0)%expr_pat +| Z_of_nat => fun x : expr ℕ => Base (#(Z_of_nat)%expr @ x)%expr_pat +| Z_to_nat => fun x : expr ℤ => Base (#(Z_to_nat)%expr @ x)%expr_pat +| Z_shiftr => fun x x0 : expr ℤ => Base (x >> x0)%expr +| Z_shiftl => + fun x x0 : expr ℤ => + (match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps (ℤ -> ℤ)%ptype + ((projT1 args) -> ℤ)%ptype option (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args) -> ℤ)%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x1 <- (if (let (x1, _) := xv in x1) =? 0 + then Some (##0)%expr + else None); + Some (Base x1)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => 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_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 x with + | @expr.Ident _ _ _ t idc => + match x0 with + | @expr.Ident _ _ _ t0 idc0 => + args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args0) -> (projT1 args)) -> ℤ)%ptype option + (fun x2 : option => x2) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args0) -> (projT1 args)) -> ℤ)%ptype + then + _ <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x2 <- (if (let (x2, _) := xv0 in x2) =? 0 + then Some ((##0)%expr, (##0)%expr)%expr_pat + else None); + Some (Base x2)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + match x1 with + | @expr.Ident _ _ _ t0 idc0 => + (args <- invert_bind_args idc0 Raw.ident.Literal; + args0 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args0) -> ℤ) -> (projT1 args))%ptype option + (fun x2 : option => x2) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args0) -> ℤ) -> (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x2 <- (if (let (x2, _) := xv0 in x2) =? 0 + then Some ((##0)%expr, (##0)%expr)%expr_pat + else None); + Some (Base x2)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end);; + match x0 with + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t1 idc1) x2 => + args <- invert_bind_args idc1 Raw.ident.Z_cast; + args0 <- invert_bind_args idc0 Raw.ident.Literal; + args1 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s) -> (projT1 args0))%ptype option + (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s) -> (projT1 args0))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + v <- type.try_make_transport_cps s ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + fv <- (x3 <- (if + ((let (x3, _) := xv0 in x3) =? 1) && + (ZRange.normalize args <=? + r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange + then + Some + (#(Z_cast args)%expr @ + v (Compile.reflect x2), (##0)%expr)%expr_pat + else None); + Some (Base x3)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t0 idc0) x2 => + match x0 with + | @expr.Ident _ _ _ t1 idc1 => + args <- invert_bind_args idc1 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Z_cast; + args1 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args)) -> s)%ptype option + (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args)) -> s)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + v <- type.try_make_transport_cps s ℤ; + fv <- (x3 <- (if + ((let (x3, _) := xv0 in x3) =? 1) && + (ZRange.normalize args0 <=? + r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange + then + Some + (#(Z_cast args0)%expr @ + v (Compile.reflect x2), (##0)%expr)%expr_pat + else None); + Some (Base x3)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ (_ @ _)%expr_pat + _ | @expr.App _ _ _ s _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | _ => None + end;; + 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 => + match x0 with + | @expr.Ident _ _ _ t0 idc0 => + match x1 with + | @expr.Ident _ _ _ t1 idc1 => + args <- invert_bind_args idc1 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Literal; + args1 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args0)) -> (projT1 args))%ptype + option (fun x2 : option => x2) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args0)) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args); + Some + (Base + (let + '(a1, b1)%zrange := + Z.add_get_carry_full (let (x2, _) := xv in x2) + (let (x2, _) := xv0 in x2) + (let (x2, _) := xv1 in x2) in + ((##a1)%expr, (##b1)%expr)%expr_pat)) + else None + | None => None + end + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t1 idc1) x2 => + args <- invert_bind_args idc1 Raw.ident.Z_cast; + args0 <- invert_bind_args idc0 Raw.ident.Literal; + args1 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args0)) -> s)%ptype option + (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> (projT1 args0)) -> s)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + v <- type.try_make_transport_cps s ℤ; + fv <- (x3 <- (if + ((let (x3, _) := xv0 in x3) =? 0) && + (ZRange.normalize args <=? + r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange + then + Some + (#(Z_cast args)%expr @ + v (Compile.reflect x2), (##0)%expr)%expr_pat + else None); + Some (Base x3)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t0 idc0) x2 => + match x1 with + | @expr.Ident _ _ _ t1 idc1 => + args <- invert_bind_args idc1 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Z_cast; + args1 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s) -> (projT1 args))%ptype option + (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args1) -> s) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + v <- type.try_make_transport_cps s ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x3 <- (if + ((let (x3, _) := xv0 in x3) =? 0) && + (ZRange.normalize args0 <=? + r[0 ~> (let (x3, _) := xv in x3) - 1])%zrange + then + Some + (#(Z_cast args0)%expr @ + v (Compile.reflect x2), (##0)%expr)%expr_pat + else None); + Some (Base x3)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ (_ @ _)%expr_pat + _ | @expr.App _ _ _ s _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | _ => None + end;; + 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 => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + (((projT1 args) -> ℤ) -> ℤ)%ptype option (fun x2 : option => x2) + with + | 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 <- (x2 <- (if (let (x2, _) := xv in x2) =? 0 + then Some (x0 + x1)%expr + else None); + Some (Base x2)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => 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 => + match x0 with + | @expr.Ident _ _ _ t0 idc0 => + match x1 with + | @expr.Ident _ _ _ t1 idc1 => + match x2 with + | @expr.Ident _ _ _ t2 idc2 => + args <- invert_bind_args idc2 Raw.ident.Literal; + args0 <- invert_bind_args idc1 Raw.ident.Literal; + args1 <- invert_bind_args idc0 Raw.ident.Literal; + args2 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> (projT1 args1)) -> + (projT1 args0)) -> (projT1 args))%ptype option + (fun x3 : option => x3) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> (projT1 args1)) -> + (projT1 args0)) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + xv2 <- ident.unify pattern.ident.Literal + ##(projT2 args); + Some + (Base + (let + '(a2, b2)%zrange := + Z.add_with_get_carry_full + (let (x3, _) := xv in x3) + (let (x3, _) := xv0 in x3) + (let (x3, _) := xv1 in x3) + (let (x3, _) := xv2 in x3) in + ((##a2)%expr, (##b2)%expr)%expr_pat)) + else None + | None => None + end + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t2 idc2) x3 => + args <- invert_bind_args idc2 Raw.ident.Z_cast; + args0 <- invert_bind_args idc1 Raw.ident.Literal; + args1 <- invert_bind_args idc0 Raw.ident.Literal; + args2 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> (projT1 args1)) -> + (projT1 args0)) -> s)%ptype option + (fun x4 : option => x4) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> (projT1 args1)) -> + (projT1 args0)) -> s)%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args1); + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + v <- type.try_make_transport_cps s ℤ; + fv <- (x4 <- (if + ((let (x4, _) := xv0 in x4) =? 0) && + ((let (x4, _) := xv1 in x4) =? 0) && + (ZRange.normalize args <=? + r[0 ~> (let (x4, _) := xv in x4) - + 1])%zrange + then + Some + (#(Z_cast args)%expr @ + v (Compile.reflect x3), + (##0)%expr)%expr_pat + else None); + Some (Base x4)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t1 idc1) x3 => + match x2 with + | @expr.Ident _ _ _ t2 idc2 => + args <- invert_bind_args idc2 Raw.ident.Literal; + args0 <- invert_bind_args idc1 Raw.ident.Z_cast; + args1 <- invert_bind_args idc0 Raw.ident.Literal; + args2 <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> (projT1 args1)) -> s) -> + (projT1 args))%ptype option (fun x4 : option => x4) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args2) -> (projT1 args1)) -> s) -> + (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args1); + v <- type.try_make_transport_cps s ℤ; + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (x4 <- (if + ((let (x4, _) := xv0 in x4) =? 0) && + ((let (x4, _) := xv1 in x4) =? 0) && + (ZRange.normalize args0 <=? + r[0 ~> (let (x4, _) := xv in x4) - + 1])%zrange + then + Some + (#(Z_cast args0)%expr @ + v (Compile.reflect x3), + (##0)%expr)%expr_pat + else None); + Some (Base x4)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end + | _ => None + end + | _ => 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_cast range => + fun x : expr ℤ => + (match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ℤ (projT1 args) option + (fun x0 : option => x0) + with + | Some _ => + if type.type_beq base.type base.type.type_beq ℤ (projT1 args) + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (x0 <- (if + is_bounded_by_bool (let (x0, _) := xv in x0) + range + then Some (##(let (x0, _) := xv in x0))%expr + else None); + Some (Base x0)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s _ (@expr.Ident _ _ _ t idc) x0 => + args <- invert_bind_args idc Raw.ident.Z_cast; + match + pattern.type.unify_extracted_cps ℤ s option + (fun x1 : option => x1) + with + | Some _ => + if type.type_beq base.type base.type.type_beq ℤ s + then + v <- type.try_make_transport_cps s ℤ; + fv <- (x1 <- (if + (ZRange.normalize args <=? + ZRange.normalize range)%zrange + then + Some + (#(Z_cast args)%expr @ v (Compile.reflect x0))%expr_pat + else None); + Some (Base x1)); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ (@expr.Ident _ _ _ t idc) x2) x1) x0 => + _ <- invert_bind_args idc Raw.ident.Z_add_with_carry; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s0) -> s)%ptype option (fun x3 : option => x3) + with + | 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; + Some + (UnderLet + (#(Z_cast range)%expr @ + (#(Z_add_with_carry)%expr @ v (Compile.reflect x2) @ + v0 (Compile.reflect x1) @ v1 (Compile.reflect x0)))%expr_pat + (fun v2 : var ℤ => + Base (#(Z_cast range)%expr @ ($v2)%expr)%expr_pat)) + else None + | None => None + end + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ ($_)%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 _ _ _ _ _ _ _) _) _) _ => None + | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ #(_)%expr_pat _) _ | + @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App _ + _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | @expr.App + _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => + None + | @expr.App _ _ _ s _ ($_)%expr _ | @expr.App _ _ _ s _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end;;; + 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_cps + (((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 option (fun x2 : option => x2) + with + | 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; + Some + (fv0 <-- do_again (ℤ * ℤ) + (#(Z_cast (Datatypes.fst range))%expr @ + ($(v (Compile.reflect x1)))%expr, + #(Z_cast (Datatypes.snd range))%expr @ + ($(v0 (Compile.reflect x0)))%expr)%expr_pat; + Base fv0)%under_lets + else None + | None => 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_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s4) -> s)%ptype option (fun x6 : option => x6) + with + | 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 + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x2) @ + v1 (Compile.reflect x0) @ + (#(Z_cast args)%expr @ + v0 (Compile.reflect x5))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ ($_)%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 => None + | (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t0 idc0 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x0 with + | (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ + (@expr.Ident _ _ _ t2 idc2) x5))%expr_pat => + args <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_opp; + args1 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s0) -> s4)%ptype option (fun x6 : option => x6) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s4)%ptype + then + v <- type.try_make_transport_cps s1 ℤ; + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s4 ℤ; + fv <- (if + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x2) @ + v0 (Compile.reflect x1) @ + (#(Z_cast args)%expr @ + v1 (Compile.reflect x5))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s4 _ ($_)%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 => None + | (@expr.Ident _ _ _ t0 idc0 @ (@expr.Ident _ _ _ t1 idc1 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t0 idc0 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x1 with + | @expr.Ident _ _ _ t0 idc0 => + args <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> (projT1 args)) -> s)%ptype option + (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> (projT1 args)) -> s)%ptype + then + v <- type.try_make_transport_cps s1 ℤ; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + v0 <- type.try_make_transport_cps s ℤ; + fv <- (if (let (x3, _) := xv in x3) <? 0 + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x2) @ + v0 (Compile.reflect x0) @ + (##(- (let (x3, _) := xv in x3))%Z)%expr))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + match x0 with + | @expr.Ident _ _ _ t0 idc0 => + args <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s0) -> (projT1 args))%ptype option + (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s0) -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s1 ℤ; + v0 <- type.try_make_transport_cps s0 ℤ; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + fv <- (if (let (x3, _) := xv in x3) <? 0 + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x2) @ + v0 (Compile.reflect x1) @ + (##(- (let (x3, _) := xv in x3))%Z)%expr))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + _ <- invert_bind_args idc Raw.ident.Z_add_get_carry; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s0) -> s)%ptype option (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s)%ptype + then + v <- type.try_make_transport_cps s1 ℤ; + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + Some + (UnderLet + (#(Z_cast2 range)%expr @ + (#(Z_add_get_carry)%expr @ v (Compile.reflect x2) @ + v0 (Compile.reflect x1) @ v1 (Compile.reflect x0)))%expr_pat + (fun v2 : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ (#(Z_cast2 range)%expr @ ($v2)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (#(snd)%expr @ (#(Z_cast2 range)%expr @ ($v2)%expr)))%expr_pat)) + else None + | None => None + end);; + (_ <- invert_bind_args idc Raw.ident.Z_sub_get_borrow; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s0) -> s)%ptype option (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s)%ptype + then + v <- type.try_make_transport_cps s1 ℤ; + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + Some + (UnderLet + (#(Z_cast2 range)%expr @ + (#(Z_sub_get_borrow)%expr @ v (Compile.reflect x2) @ + v0 (Compile.reflect x1) @ v1 (Compile.reflect x0)))%expr_pat + (fun v2 : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ (#(Z_cast2 range)%expr @ ($v2)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (#(snd)%expr @ (#(Z_cast2 range)%expr @ ($v2)%expr)))%expr_pat)) + else None + | None => None + end);; + _ <- invert_bind_args idc Raw.ident.Z_mul_split; + match + pattern.type.unify_extracted_cps ((ℤ -> ℤ) -> ℤ)%ptype + ((s1 -> s0) -> s)%ptype option (fun x3 : option => x3) + with + | Some (_, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((ℤ -> ℤ) -> ℤ)%ptype ((s1 -> s0) -> s)%ptype + then + v <- type.try_make_transport_cps s1 ℤ; + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + Some + (UnderLet + (#(Z_cast2 range)%expr @ + (#(Z_mul_split)%expr @ v (Compile.reflect x2) @ + v0 (Compile.reflect x1) @ v1 (Compile.reflect x0)))%expr_pat + (fun v2 : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ (#(Z_cast2 range)%expr @ ($v2)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (#(snd)%expr @ (#(Z_cast2 range)%expr @ ($v2)%expr)))%expr_pat)) + else None + | None => None + end + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ + (@expr.App _ _ _ s2 _ (@expr.Ident _ _ _ t idc) x3) x2) x1) x0 => + (match x2 with + | @expr.Ident _ _ _ t0 idc0 => + match x1 with + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ + (@expr.Ident _ _ _ t3 idc3) x6))%expr_pat => + (args <- invert_bind_args idc3 Raw.ident.Z_cast; + _ <- invert_bind_args idc2 Raw.ident.Z_opp; + args1 <- invert_bind_args idc1 Raw.ident.Z_cast; + args2 <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s5) -> s)%ptype option + (fun x7 : option => x7) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s5) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + fv <- (if + ((let (x7, _) := xv in x7) =? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x3) @ + v1 (Compile.reflect x0) @ + (#(Z_cast args)%expr @ + v0 (Compile.reflect x6))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end);; + args <- invert_bind_args idc3 Raw.ident.Z_cast; + _ <- invert_bind_args idc2 Raw.ident.Z_opp; + args1 <- invert_bind_args idc1 Raw.ident.Z_cast; + args2 <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s5) -> s)%ptype option + (fun x7 : option => x7) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s5) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + fv <- (if + ((let (x7, _) := xv in x7) <? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (##(- (let (x7, _) := xv in x7))%Z)%expr @ + v1 (Compile.reflect x0) @ + (#(Z_cast args)%expr @ + v0 (Compile.reflect x6))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ ($_)%expr + _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x0 with + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ + (@expr.Ident _ _ _ t3 idc3) x6))%expr_pat => + (args <- invert_bind_args idc3 Raw.ident.Z_cast; + _ <- invert_bind_args idc2 Raw.ident.Z_opp; + args1 <- invert_bind_args idc1 Raw.ident.Z_cast; + args2 <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype option + (fun x7 : option => x7) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s5 ℤ; + fv <- (if + ((let (x7, _) := xv in x7) =? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_get_borrow)%expr @ + v (Compile.reflect x3) @ + v0 (Compile.reflect x1) @ + (#(Z_cast args)%expr @ + v1 (Compile.reflect x6))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end);; + args <- invert_bind_args idc3 Raw.ident.Z_cast; + _ <- invert_bind_args idc2 Raw.ident.Z_opp; + args1 <- invert_bind_args idc1 Raw.ident.Z_cast; + args2 <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype option + (fun x7 : option => x7) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args2)) -> s0) -> s5)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args2); + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s5 ℤ; + fv <- (if + ((let (x7, _) := xv in x7) <? 0) && + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (##(- (let (x7, _) := xv in x7))%Z)%expr @ + v0 (Compile.reflect x1) @ + (#(Z_cast args)%expr @ + v1 (Compile.reflect x6))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ ($_)%expr + _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ + (@expr.Abs _ _ _ _ _ _) _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ (_ @ _) _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.App _ _ _ s5 _ + (@expr.LetIn _ _ _ _ _ _ _) _))%expr_pat => None + | (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ + (@expr.Ident _ _ _ t2 idc2 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x1 with + | @expr.Ident _ _ _ t1 idc1 => + args <- invert_bind_args idc1 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args0)) -> (projT1 args)) -> s)%ptype + option (fun x4 : option => x4) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args0)) -> (projT1 args)) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + v0 <- type.try_make_transport_cps s ℤ; + fv <- (if + ((let (x4, _) := xv0 in x4) <=? 0) && + ((let (x4, _) := xv in x4) <=? 0) && + ((let (x4, _) := xv0 in x4) + + (let (x4, _) := xv in x4) <? 0) + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (##(- (let (x4, _) := xv in x4))%Z)%expr @ + v0 (Compile.reflect x0) @ + (##(- (let (x4, _) := xv0 in x4))%Z)%expr))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + match x0 with + | @expr.Ident _ _ _ t1 idc1 => + args <- invert_bind_args idc1 Raw.ident.Literal; + args0 <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args0)) -> s0) -> (projT1 args))%ptype + option (fun x4 : option => x4) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args0)) -> s0) -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args0); + v0 <- type.try_make_transport_cps s0 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (if + ((let (x4, _) := xv0 in x4) <=? 0) && + ((let (x4, _) := xv in x4) <=? 0) && + ((let (x4, _) := xv0 in x4) + + (let (x4, _) := xv in x4) <? 0) + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (##(- (let (x4, _) := xv in x4))%Z)%expr @ + v0 (Compile.reflect x1) @ + (##(- (let (x4, _) := xv0 in x4))%Z)%expr))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + args <- invert_bind_args idc0 Raw.ident.Literal; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args)) -> s0) -> s)%ptype option + (fun x4 : option => x4) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> (projT1 args)) -> s0) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + v0 <- type.try_make_transport_cps s0 ℤ; + v1 <- type.try_make_transport_cps s ℤ; + fv <- (if (let (x4, _) := xv in x4) =? 0 + then + Some + (UnderLet + (#(Z_cast2 range)%expr @ + (#(Z_add_get_carry)%expr @ + v (Compile.reflect x3) @ + v0 (Compile.reflect x1) @ + v1 (Compile.reflect x0)))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 range)%expr @ ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 range)%expr @ ($vc)%expr)))%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | @expr.App _ _ _ s3 _ (@expr.Ident _ _ _ t0 idc0) x4 => + match x4 with + | (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ + (@expr.Ident _ _ _ t2 idc2) x6)%expr_pat => + match x1 with + | (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5) x9))%expr_pat => + args <- invert_bind_args idc5 Raw.ident.Z_cast; + _ <- invert_bind_args idc4 Raw.ident.Z_opp; + args1 <- invert_bind_args idc3 Raw.ident.Z_cast; + args2 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_opp; + args4 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> s8) -> s)%ptype option + (fun x10 : option => x10) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> s8) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s8 ℤ; + v2 <- type.try_make_transport_cps s ℤ; + fv <- (if + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange && + (ZRange.normalize args2 <=? + - ZRange.normalize args4)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast args2)%expr @ + v0 (Compile.reflect x6)) @ + v2 (Compile.reflect x0) @ + (#(Z_cast args)%expr @ + v1 (Compile.reflect x9))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast + (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + ($_)%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 => None + | (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t3 idc3 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x0 with + | (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + (@expr.Ident _ _ _ t5 idc5) x9))%expr_pat => + args <- invert_bind_args idc5 Raw.ident.Z_cast; + _ <- invert_bind_args idc4 Raw.ident.Z_opp; + args1 <- invert_bind_args idc3 Raw.ident.Z_cast; + args2 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_opp; + args4 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> s0) -> s8)%ptype option + (fun x10 : option => x10) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> s0) -> s8)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s0 ℤ; + v2 <- type.try_make_transport_cps s8 ℤ; + fv <- (if + (ZRange.normalize args <=? + - ZRange.normalize args1)%zrange && + (ZRange.normalize args2 <=? + - ZRange.normalize args4)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast args2)%expr @ + v0 (Compile.reflect x6)) @ + v1 (Compile.reflect x1) @ + (#(Z_cast args)%expr @ + v2 (Compile.reflect x9))))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast + (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.App _ _ _ s8 _ + ($_)%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 => None + | (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ #(_)))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ ($_)%expr))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.Abs _ _ _ _ _ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.Ident _ _ _ t4 idc4 @ @expr.LetIn _ _ _ _ _ _ _))%expr_pat => + None + | (@expr.Ident _ _ _ t3 idc3 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (($_)%expr @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (@expr.Abs _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ (_ @ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ + (@expr.LetIn _ _ _ _ _ _ _ @ _))%expr_pat | + (@expr.Ident _ _ _ t3 idc3 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x1 with + | @expr.Ident _ _ _ t3 idc3 => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_opp; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> (projT1 args)) -> s)%ptype option + (fun x7 : option => x7) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> (projT1 args)) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args); + v1 <- type.try_make_transport_cps s ℤ; + fv <- (if + ((let (x7, _) := xv in x7) <=? 0) && + (ZRange.normalize args0 <=? + - ZRange.normalize args2)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast args0)%expr @ + v0 (Compile.reflect x6)) @ + v1 (Compile.reflect x0) @ + (##(- (let (x7, _) := xv in x7))%Z)%expr))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast + (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end;; + match x0 with + | @expr.Ident _ _ _ t3 idc3 => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Z_cast; + _ <- invert_bind_args idc1 Raw.ident.Z_opp; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> s0) -> (projT1 args))%ptype option + (fun x7 : option => x7) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s5) -> s0) -> (projT1 args))%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + v0 <- type.try_make_transport_cps s5 ℤ; + v1 <- type.try_make_transport_cps s0 ℤ; + xv <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (if + ((let (x7, _) := xv in x7) <=? 0) && + (ZRange.normalize args0 <=? + - ZRange.normalize args2)%zrange + then + Some + (UnderLet + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + (#(Z_sub_with_get_borrow)%expr @ + v (Compile.reflect x3) @ + (#(Z_cast args0)%expr @ + v0 (Compile.reflect x6)) @ + v1 (Compile.reflect x1) @ + (##(- (let (x7, _) := xv in x7))%Z)%expr))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + ($vc)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (- + (#(Z_cast + (- Datatypes.snd range))%expr @ + (#(snd)%expr @ + (#(Z_cast2 + (Datatypes.fst range, + - Datatypes.snd range))%expr @ + $vc)))%expr_pat)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end + | (@expr.Ident _ _ _ t1 idc1 @ @expr.App _ _ _ s5 _ ($_)%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 => None + | (@expr.Ident _ _ _ t1 idc1 @ #(_))%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t1 idc1 @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => + None + | _ => None + end;; + match x3 with + | @expr.Ident _ _ _ t1 idc1 => + match x1 with + | @expr.Ident _ _ _ t2 idc2 => + match x0 with + | @expr.Ident _ _ _ t3 idc3 => + args <- invert_bind_args idc3 Raw.ident.Literal; + args0 <- invert_bind_args idc2 Raw.ident.Literal; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.Z_cast; + _ <- invert_bind_args idc + Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args1) -> s3) -> (projT1 args0)) -> + (projT1 args))%ptype option + (fun x5 : option => x5) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + ((((projT1 args1) -> s3) -> (projT1 args0)) -> + (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal + ##(projT2 args1); + v <- type.try_make_transport_cps s3 ℤ; + xv0 <- ident.unify pattern.ident.Literal + ##(projT2 args0); + xv1 <- ident.unify pattern.ident.Literal + ##(projT2 args); + fv <- (if + ((let (x5, _) := xv0 in x5) =? 0) && + ((let (x5, _) := xv1 in x5) =? 0) && + (ZRange.normalize args2 <=? + r[0 ~> (let (x5, _) := xv in x5) - 1])%zrange && + is_bounded_by_bool 0 + (Datatypes.snd range) + then + Some + (UnderLet + (#(Z_cast2 range)%expr @ + (#(Z_add_with_get_carry)%expr @ + (##(let (x5, _) := xv in x5))%expr @ + (#(Z_cast args2)%expr @ + v (Compile.reflect x4)) @ + (##(let (x5, _) := xv0 in x5))%expr @ + (##(let (x5, _) := xv1 in x5))%expr))%expr_pat + (fun vc : var (ℤ * ℤ)%etype => + Base + (#(Z_cast + (Datatypes.fst range))%expr @ + (#(fst)%expr @ + (#(Z_cast2 range)%expr @ + ($vc)%expr)), (##0)%expr)%expr_pat)) + else None); + Some (fv0 <-- fv; + Base fv0)%under_lets + else None + | None => None + end + | _ => None + end + | _ => None + end + | _ => None + end + | @expr.App _ _ _ s3 _ ($_)%expr _ | @expr.App _ _ _ s3 _ + (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s3 _ + (_ @ _)%expr_pat _ | @expr.App _ _ _ s3 _ + (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end;; + _ <- invert_bind_args idc Raw.ident.Z_add_with_get_carry; + match + pattern.type.unify_extracted_cps (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s1) -> s0) -> s)%ptype option (fun x4 : option => x4) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s1) -> s0) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + v0 <- type.try_make_transport_cps s1 ℤ; + v1 <- type.try_make_transport_cps s0 ℤ; + v2 <- type.try_make_transport_cps s ℤ; + Some + (UnderLet + (#(Z_cast2 range)%expr @ + (#(Z_add_with_get_carry)%expr @ v (Compile.reflect x3) @ + v0 (Compile.reflect x2) @ v1 (Compile.reflect x1) @ + v2 (Compile.reflect x0)))%expr_pat + (fun v3 : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ (#(Z_cast2 range)%expr @ ($v3)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (#(snd)%expr @ (#(Z_cast2 range)%expr @ ($v3)%expr)))%expr_pat)) + else None + | None => None + end);; + _ <- invert_bind_args idc Raw.ident.Z_sub_with_get_borrow; + match + pattern.type.unify_extracted_cps (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype + (((s2 -> s1) -> s0) -> s)%ptype option (fun x4 : option => x4) + with + | Some (_, _, _, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℤ -> ℤ) -> ℤ) -> ℤ)%ptype (((s2 -> s1) -> s0) -> s)%ptype + then + v <- type.try_make_transport_cps s2 ℤ; + v0 <- type.try_make_transport_cps s1 ℤ; + v1 <- type.try_make_transport_cps s0 ℤ; + v2 <- type.try_make_transport_cps s ℤ; + Some + (UnderLet + (#(Z_cast2 range)%expr @ + (#(Z_sub_with_get_borrow)%expr @ v (Compile.reflect x3) @ + v0 (Compile.reflect x2) @ v1 (Compile.reflect x1) @ + v2 (Compile.reflect x0)))%expr_pat + (fun v3 : var (ℤ * ℤ)%etype => + Base + (#(Z_cast (Datatypes.fst range))%expr @ + (#(fst)%expr @ (#(Z_cast2 range)%expr @ ($v3)%expr)), + #(Z_cast (Datatypes.snd range))%expr @ + (#(snd)%expr @ (#(Z_cast2 range)%expr @ ($v3)%expr)))%expr_pat)) + else None + | None => None + end + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ (@expr.App _ _ _ s2 _ ($_)%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 _ _ _ _ _ _ _) _) _) _) _ => + None + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.App _ _ _ s1 _ ($_)%expr _) _) _ | + @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ (@expr.Abs _ _ _ _ _ _) _) _) _ | @expr.App _ + _ _ s _ + (@expr.App _ _ _ s0 _ + (@expr.App _ _ _ s1 _ (@expr.LetIn _ _ _ _ _ _ _) _) _) _ => None + | @expr.App _ _ _ s _ (@expr.App _ _ _ s0 _ ($_)%expr _) _ | @expr.App + _ _ _ s _ (@expr.App _ _ _ s0 _ (@expr.Abs _ _ _ _ _ _) _) _ | + @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.LetIn _ _ _ _ _ _ _) _) _ => None + | @expr.App _ _ _ s _ #(_)%expr_pat _ | @expr.App _ _ _ s _ ($_)%expr + _ | @expr.App _ _ _ s _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s + _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end;; + None);;; + Base (#(Z_cast2 range)%expr @ x)%expr_pat)%option +| 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 |