diff options
Diffstat (limited to 'src/nbe_rewrite_head.out')
| -rw-r--r-- | src/nbe_rewrite_head.out | 2697 |
1 files changed, 2697 insertions, 0 deletions
diff --git a/src/nbe_rewrite_head.out b/src/nbe_rewrite_head.out new file mode 100644 index 000000000..cbd282f50 --- /dev/null +++ b/src/nbe_rewrite_head.out @@ -0,0 +1,2697 @@ +nbe_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 => + ((match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ℕ (projT1 args) option + (fun x0 : option => x0) + with + | Some _ => + if type.type_beq base.type base.type.type_beq ℕ (projT1 args) + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + Some (Base (##(Nat.succ (let (x0, _) := xv in x0)))%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(Nat_succ)%expr @ x)%expr_pat)%option +| Nat_pred => + fun x : expr ℕ => + ((match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ℕ (projT1 args) option + (fun x0 : option => x0) + with + | Some _ => + if type.type_beq base.type base.type.type_beq ℕ (projT1 args) + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + Some (Base (##(Nat.pred (let (x0, _) := xv in x0)))%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(Nat_pred)%expr @ x)%expr_pat)%option +| Nat_max => + fun x x0 : expr ℕ => + ((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 (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##(Nat.max (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Nat_max)%expr @ x @ x0)%expr_pat)%option +| Nat_mul => + fun x x0 : expr ℕ => + ((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 (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) * + (let (x1, _) := xv0 in x1))%nat)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Nat_mul)%expr @ x @ x0)%expr_pat)%option +| Nat_add => + fun x x0 : expr ℕ => + ((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 (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) + + (let (x1, _) := xv0 in x1))%nat)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Nat_add)%expr @ x @ x0)%expr_pat)%option +| Nat_sub => + fun x x0 : expr ℕ => + ((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 (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) - + (let (x1, _) := xv0 in x1))%nat)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Nat_sub)%expr @ x @ x0)%expr_pat)%option +| @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) => + ((match x0 with + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) x2) x1 => + args <- invert_bind_args idc Raw.ident.pair; + match + pattern.type.unify_extracted_cps + (((('1%pbtype -> '2%pbtype -> '3%pbtype) -> + ('1 * '2)%pbtype -> '3%pbtype) -> + '1%pbtype -> '2%pbtype -> '3%pbtype) -> + (('1%pbtype -> '2%pbtype -> ('1 * '2)%pbtype) -> '1%pbtype) -> + '2%pbtype)%ptype + ((((A -> B -> T) -> (A * B)%etype -> T) -> A -> B -> T) -> + (((let (x3, _) := args in x3) -> + (let (_, y) := args in y) -> + ((let (x3, _) := args in x3) * (let (_, y) := args in y))%etype) -> + s0) -> s)%ptype option (fun x3 : option => x3) + with + | Some + (_, (_, _), (_, _, _), (_, (_, b7)), (_, (_, (_, _)), b9, b8))%zrange => + if + type.type_beq base.type base.type.type_beq + ((((b9 -> b8 -> b7) -> (b9 * b8)%etype -> b7) -> + b9 -> b8 -> b7) -> + ((b9 -> b8 -> (b9 * b8)%etype) -> b9) -> b8)%ptype + ((((A -> B -> T) -> (A * B)%etype -> T) -> A -> B -> T) -> + (((let (x3, _) := args in x3) -> + (let (_, y) := args in y) -> + ((let (x3, _) := args in x3) * (let (_, y) := args in y))%etype) -> + s0) -> s)%ptype + then + _ <- ident.unify pattern.ident.prod_rect prod_rect; + x' <- base.try_make_transport_cps A b9; + x'0 <- base.try_make_transport_cps B b8; + x'1 <- base.try_make_transport_cps T b7; + _ <- ident.unify pattern.ident.pair pair; + v <- type.try_make_transport_cps s0 b9; + v0 <- type.try_make_transport_cps s b8; + x'2 <- base.try_make_transport_cps b9 b9; + x'3 <- base.try_make_transport_cps b8 b8; + x'4 <- base.try_make_transport_cps b7 b7; + v1 <- base.try_make_transport_cps b9 b9; + v2 <- base.try_make_transport_cps b8 b8; + v3 <- base.try_make_transport_cps b7 T; + v4 <- base.try_make_transport_cps T T; + Some + (fv1 <-- x'4 (x'3 (x'2 (x'1 (x'0 (x' x))))) + (v1 (v (Compile.reflect x2))) + (v2 (v0 (Compile.reflect x1))); + Base (v4 (v3 fv1)))%under_lets + 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 + (#(prod_rect)%expr @ + (λ (x1 : var A)(x2 : var B), + to_expr (x ($x1) ($x2)))%expr @ x0)%expr_pat)%option +| @bool_rect T => + fun (x x0 : expr unit -> UnderLets (expr T)) (x1 : expr bool) => + ((match x1 with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((((unit -> '1%pbtype) -> + (unit -> '1%pbtype) -> bool -> '1%pbtype) -> + unit -> '1%pbtype) -> unit -> '1%pbtype) -> bool)%ptype + (((((unit -> T) -> (unit -> T) -> bool -> T) -> unit -> T) -> + unit -> T) -> (projT1 args))%ptype option + (fun x2 : option => x2) + with + | Some (_, _, (_, _, (_, _)), (_, _), (_, b8), _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((((unit -> b8) -> (unit -> b8) -> bool -> b8) -> + unit -> b8) -> unit -> b8) -> bool)%ptype + (((((unit -> T) -> (unit -> T) -> bool -> T) -> unit -> T) -> + unit -> T) -> (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.bool_rect bool_rect; + x' <- base.try_make_transport_cps T b8; + x'0 <- base.try_make_transport_cps T b8; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + x'1 <- base.try_make_transport_cps b8 b8; + x'2 <- base.try_make_transport_cps b8 b8; + v <- base.try_make_transport_cps b8 T; + v0 <- base.try_make_transport_cps T T; + Some + (fv0 <-- (if let (x2, _) := xv in x2 + then x'1 (x' x) (##tt)%expr + else x'2 (x'0 x0) (##tt)%expr); + Base (v0 (v fv0)))%under_lets + else None + | None => None + end + | _ => None + end;; + None);;; + 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)%option +| @nat_rect P => + fun (x : expr unit -> UnderLets (expr P)) + (x0 : expr ℕ -> expr P -> UnderLets (expr P)) (x1 : expr ℕ) => + ((match x1 with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((((unit -> '1%pbtype) -> + (ℕ -> '1%pbtype -> '1%pbtype) -> ℕ -> '1%pbtype) -> + unit -> '1%pbtype) -> ℕ -> '1%pbtype -> '1%pbtype) -> + ℕ)%ptype + (((((unit -> P) -> (ℕ -> P -> P) -> ℕ -> P) -> unit -> P) -> + ℕ -> P -> P) -> (projT1 args))%ptype option + (fun x2 : option => x2) + with + | Some + (_, _, (_, (_, _), (_, _)), (_, _), (_, (_, b10)), _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((((unit -> b10) -> (ℕ -> b10 -> b10) -> ℕ -> b10) -> + unit -> b10) -> ℕ -> b10 -> b10) -> ℕ)%ptype + (((((unit -> P) -> (ℕ -> P -> P) -> ℕ -> P) -> unit -> P) -> + ℕ -> P -> P) -> (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.nat_rect nat_rect; + x' <- base.try_make_transport_cps P b10; + x'0 <- base.try_make_transport_cps P b10; + x'1 <- base.try_make_transport_cps P b10; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + x'2 <- base.try_make_transport_cps b10 b10; + x'3 <- base.try_make_transport_cps b10 b10; + x'4 <- base.try_make_transport_cps b10 b10; + v <- base.try_make_transport_cps b10 P; + v0 <- base.try_make_transport_cps P P; + Some + (fv0 <-- Datatypes.nat_rect + (fun _ : nat => UnderLets (expr b10)) + (x'2 (x' x) (##tt)%expr) + (fun (n' : nat) (rec : UnderLets (expr b10)) => + rec0 <-- rec; + x'4 (x'3 (x'1 (x'0 x0))) (##n')%expr rec0) + (let (x2, _) := xv in x2); + Base (v0 (v fv0)))%under_lets + else None + | None => None + end + | _ => None + end;; + None);;; + 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)%option +| @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) => + (match x1 with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((((('1%pbtype -> '2%pbtype) -> + (ℕ -> ('1%pbtype -> '2%pbtype) -> '1%pbtype -> '2%pbtype) -> + ℕ -> '1%pbtype -> '2%pbtype) -> '1%pbtype -> '2%pbtype) -> + ℕ -> ('1%pbtype -> '2%pbtype) -> '1%pbtype -> '2%pbtype) -> + ℕ) -> '1%pbtype)%ptype + ((((((P -> Q) -> (ℕ -> (P -> Q) -> P -> Q) -> ℕ -> P -> Q) -> + P -> Q) -> ℕ -> (P -> Q) -> P -> Q) -> (projT1 args)) -> + P)%ptype option (fun x3 : option => x3) + with + | Some + (_, _, (_, (_, _, (_, _)), (_, (_, _))), (_, _), + (_, (_, _, (_, b16))), _, b)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((((b -> b16) -> + (ℕ -> (b -> b16) -> b -> b16) -> ℕ -> b -> b16) -> + b -> b16) -> ℕ -> (b -> b16) -> b -> b16) -> ℕ) -> + b)%ptype + ((((((P -> Q) -> (ℕ -> (P -> Q) -> P -> Q) -> ℕ -> P -> Q) -> + P -> Q) -> ℕ -> (P -> Q) -> P -> Q) -> (projT1 args)) -> + P)%ptype + then + _ <- ident.unify pattern.ident.nat_rect_arrow nat_rect_arrow; + x' <- base.try_make_transport_cps P b; + x'0 <- base.try_make_transport_cps Q b16; + x'1 <- base.try_make_transport_cps P b; + x'2 <- base.try_make_transport_cps Q b16; + x'3 <- base.try_make_transport_cps P b; + x'4 <- base.try_make_transport_cps Q b16; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + v <- base.try_make_transport_cps P b; + x'5 <- base.try_make_transport_cps b b; + x'6 <- base.try_make_transport_cps b16 b16; + x'7 <- base.try_make_transport_cps b b; + x'8 <- base.try_make_transport_cps b16 b16; + x'9 <- base.try_make_transport_cps b b; + x'10 <- base.try_make_transport_cps b16 b16; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b16 Q; + v2 <- base.try_make_transport_cps Q Q; + Some + (fv0 <-- Datatypes.nat_rect + (fun _ : nat => expr b -> UnderLets (expr b16)) + (x'6 (x'5 (x'0 (x' x)))) + (fun (n' : nat) + (rec : expr b -> UnderLets (expr b16)) + (v3 : expr b) => + x'10 (x'9 (x'8 (x'7 (x'4 (x'3 (x'2 (x'1 x0))))))) + (##n')%expr rec v3) (let (x3, _) := xv in x3) + (v0 (v x2)); + Base (v2 (v1 fv0)))%under_lets + else None + | None => None + end + | _ => None + end;;; + 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)%option +| @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)) => + ((match + pattern.type.unify_extracted_cps + (((((unit -> '2%pbtype) -> + ('1%pbtype -> + (pattern.base.type.list '1) -> '2%pbtype -> '2%pbtype) -> + (pattern.base.type.list '1) -> '2%pbtype) -> unit -> '2%pbtype) -> + '1%pbtype -> + (pattern.base.type.list '1) -> '2%pbtype -> '2%pbtype) -> + (pattern.base.type.list '1))%ptype + (((((unit -> P) -> (A -> (list A) -> P -> P) -> (list A) -> P) -> + unit -> P) -> A -> (list A) -> P -> P) -> (list A))%ptype option + (fun x2 : option => x2) + with + | Some + (_, _, (_, (_, (_, _)), (_, _)), (_, _), (_, (_, (_, b12))), b)%zrange => + if + type.type_beq base.type base.type.type_beq + (((((unit -> b12) -> + (b -> (list b) -> b12 -> b12) -> (list b) -> b12) -> + unit -> b12) -> b -> (list b) -> b12 -> b12) -> (list b))%ptype + (((((unit -> P) -> (A -> (list A) -> P -> P) -> (list A) -> P) -> + unit -> P) -> A -> (list A) -> P -> P) -> (list A))%ptype + then + _ <- ident.unify pattern.ident.list_rect list_rect; + x' <- base.try_make_transport_cps P b12; + x'0 <- base.try_make_transport_cps A b; + x'1 <- base.try_make_transport_cps A b; + x'2 <- base.try_make_transport_cps P b12; + x'3 <- base.try_make_transport_cps P b12; + v <- base.try_make_transport_cps A b; + x'4 <- base.try_make_transport_cps b12 b12; + x'5 <- base.try_make_transport_cps b b; + x'6 <- base.try_make_transport_cps b b; + x'7 <- base.try_make_transport_cps b12 b12; + x'8 <- base.try_make_transport_cps b12 b12; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b12 P; + v2 <- base.try_make_transport_cps P P; + fv0 <- (ls <- reflect_list (v0 (v x1)); + Some + (Datatypes.list_rect + (fun _ : Datatypes.list (expr b) => + UnderLets (expr b12)) (x'4 (x' x) (##tt)%expr) + (fun (x2 : expr b) (xs : Datatypes.list (expr b)) + (rec : UnderLets (expr b12)) => + (rec' <-- rec; + x'8 (x'7 (x'6 (x'5 (x'3 (x'2 (x'1 (x'0 x0))))))) x2 + (Compilers.reify_list xs) rec')%under_lets) ls)); + Some (fv1 <-- fv0; + Base (v2 (v1 fv1)))%under_lets + else None + | None => None + end;; + None);;; + 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)%option +| @list_case A P => + fun (x : expr unit -> UnderLets (expr P)) + (x0 : expr A -> expr (list A) -> UnderLets (expr P)) + (x1 : expr (list A)) => + ((match x1 with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.nil; + match + pattern.type.unify_extracted_cps + (((((unit -> '2%pbtype) -> + ('1%pbtype -> (pattern.base.type.list '1) -> '2%pbtype) -> + (pattern.base.type.list '1) -> '2%pbtype) -> + unit -> '2%pbtype) -> + '1%pbtype -> (pattern.base.type.list '1) -> '2%pbtype) -> + (pattern.base.type.list '1))%ptype + (((((unit -> P) -> (A -> (list A) -> P) -> (list A) -> P) -> + unit -> P) -> A -> (list A) -> P) -> (list args))%ptype + option (fun x2 : option => x2) + with + | Some + (_, _, (_, (_, _), (_, _)), (_, _), (_, (_, b10)), b)%zrange => + if + type.type_beq base.type base.type.type_beq + (((((unit -> b10) -> + (b -> (list b) -> b10) -> (list b) -> b10) -> + unit -> b10) -> b -> (list b) -> b10) -> (list b))%ptype + (((((unit -> P) -> (A -> (list A) -> P) -> (list A) -> P) -> + unit -> P) -> A -> (list A) -> P) -> (list args))%ptype + then + _ <- ident.unify pattern.ident.list_case list_case; + x' <- base.try_make_transport_cps P b10; + _ <- base.try_make_transport_cps A b; + _ <- base.try_make_transport_cps A b; + _ <- base.try_make_transport_cps P b10; + _ <- ident.unify pattern.ident.nil nil; + x'3 <- base.try_make_transport_cps b10 b10; + _ <- base.try_make_transport_cps b b; + _ <- base.try_make_transport_cps b b; + _ <- base.try_make_transport_cps b10 b10; + v <- base.try_make_transport_cps b10 P; + v0 <- base.try_make_transport_cps P P; + Some + (fv0 <-- x'3 (x' x) (##tt)%expr; + Base (v0 (v fv0)))%under_lets + else None + | None => None + end + | @expr.App _ _ _ s _ + (@expr.App _ _ _ s0 _ (@expr.Ident _ _ _ t idc) x3) x2 => + args <- invert_bind_args idc Raw.ident.cons; + match + pattern.type.unify_extracted_cps + (((((unit -> '2%pbtype) -> + ('1%pbtype -> (pattern.base.type.list '1) -> '2%pbtype) -> + (pattern.base.type.list '1) -> '2%pbtype) -> + unit -> '2%pbtype) -> + '1%pbtype -> (pattern.base.type.list '1) -> '2%pbtype) -> + (('1%pbtype -> + (pattern.base.type.list '1) -> (pattern.base.type.list '1)) -> + '1%pbtype) -> (pattern.base.type.list '1))%ptype + (((((unit -> P) -> (A -> (list A) -> P) -> (list A) -> P) -> + unit -> P) -> A -> (list A) -> P) -> + ((args -> (list args) -> (list args)) -> s0) -> s)%ptype + option (fun x4 : option => x4) + with + | Some + (_, _, (_, (_, _), (_, _)), (_, _), (_, (_, b10)), + (_, (_, _), _, b11))%zrange => + if + type.type_beq base.type base.type.type_beq + (((((unit -> b10) -> + (b11 -> (list b11) -> b10) -> (list b11) -> b10) -> + unit -> b10) -> b11 -> (list b11) -> b10) -> + ((b11 -> (list b11) -> (list b11)) -> b11) -> (list b11))%ptype + (((((unit -> P) -> (A -> (list A) -> P) -> (list A) -> P) -> + unit -> P) -> A -> (list A) -> P) -> + ((args -> (list args) -> (list args)) -> s0) -> s)%ptype + then + _ <- ident.unify pattern.ident.list_case list_case; + _ <- base.try_make_transport_cps P b10; + x'0 <- base.try_make_transport_cps A b11; + x'1 <- base.try_make_transport_cps A b11; + x'2 <- base.try_make_transport_cps P b10; + _ <- ident.unify pattern.ident.cons cons; + v <- type.try_make_transport_cps s0 b11; + v0 <- type.try_make_transport_cps s (list b11); + _ <- base.try_make_transport_cps b10 b10; + x'4 <- base.try_make_transport_cps b11 b11; + x'5 <- base.try_make_transport_cps b11 b11; + x'6 <- base.try_make_transport_cps b10 b10; + v1 <- base.try_make_transport_cps b11 b11; + v2 <- base.try_make_transport_cps b11 b11; + v3 <- base.try_make_transport_cps b10 P; + v4 <- base.try_make_transport_cps P P; + Some + (fv1 <-- x'6 (x'5 (x'4 (x'2 (x'1 (x'0 x0))))) + (v1 (v (Compile.reflect x3))) + (v2 (v0 (Compile.reflect x2))); + Base (v4 (v3 fv1)))%under_lets + 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 _ ($_)%expr + _ | @expr.App _ _ _ s _ (@expr.Abs _ _ _ _ _ _) _ | @expr.App _ _ _ s + _ (@expr.LetIn _ _ _ _ _ _ _) _ => None + | _ => None + end;; + None);;; + Base + (#(list_case)%expr @ (λ x2 : var unit, + to_expr (x ($x2)))%expr @ + (λ (x2 : var A)(x3 : var (list A)), + to_expr (x0 ($x2) ($x3)))%expr @ x1)%expr_pat)%option +| @List_length T => + fun x : expr (list T) => + (match + pattern.type.unify_extracted_cps + (((pattern.base.type.list '1) -> ℕ) -> (pattern.base.type.list '1))%ptype + (((list T) -> ℕ) -> (list T))%ptype option (fun x0 : option => x0) + with + | Some (_, _, b)%zrange => + if + type.type_beq base.type base.type.type_beq + (((list b) -> ℕ) -> (list b))%ptype + (((list T) -> ℕ) -> (list T))%ptype + then + _ <- ident.unify pattern.ident.List_length List_length; + v <- base.try_make_transport_cps T b; + v0 <- base.try_make_transport_cps b b; + fv0 <- (x0 <- (xs <- reflect_list (v0 (v x)); + Some (##(length xs))%expr); + Some (Base x0)); + Some (fv1 <-- fv0; + Base fv1)%under_lets + else None + | None => None + end;;; + Base (#(List_length)%expr @ x)%expr_pat)%option +| List_seq => + fun x x0 : expr ℕ => + ((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 (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℕ -> ℕ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (Compilers.reify_list + (map (fun v : nat => (##v)%expr) + (seq (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1))))) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(List_seq)%expr @ x @ x0)%expr_pat)%option +| @List_firstn A => + fun (x : expr ℕ) (x0 : expr (list A)) => + ((match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((ℕ -> + (pattern.base.type.list '1) -> (pattern.base.type.list '1)) -> + ℕ) -> (pattern.base.type.list '1))%ptype + (((ℕ -> (list A) -> (list A)) -> (projT1 args)) -> (list A))%ptype + option (fun x1 : option => x1) + with + | Some (_, (_, _), _, b)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℕ -> (list b) -> (list b)) -> ℕ) -> (list b))%ptype + (((ℕ -> (list A) -> (list A)) -> (projT1 args)) -> (list A))%ptype + then + _ <- ident.unify pattern.ident.List_firstn List_firstn; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + v <- base.try_make_transport_cps A b; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b A; + v2 <- base.try_make_transport_cps A A; + fv0 <- (xs <- reflect_list (v0 (v x0)); + Some + (Base + (Compilers.reify_list + (firstn (let (x1, _) := xv in x1) xs)))); + Some (fv1 <-- fv0; + Base (v2 (v1 fv1)))%under_lets + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(List_firstn)%expr @ x @ x0)%expr_pat)%option +| @List_skipn A => + fun (x : expr ℕ) (x0 : expr (list A)) => + ((match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((ℕ -> + (pattern.base.type.list '1) -> (pattern.base.type.list '1)) -> + ℕ) -> (pattern.base.type.list '1))%ptype + (((ℕ -> (list A) -> (list A)) -> (projT1 args)) -> (list A))%ptype + option (fun x1 : option => x1) + with + | Some (_, (_, _), _, b)%zrange => + if + type.type_beq base.type base.type.type_beq + (((ℕ -> (list b) -> (list b)) -> ℕ) -> (list b))%ptype + (((ℕ -> (list A) -> (list A)) -> (projT1 args)) -> (list A))%ptype + then + _ <- ident.unify pattern.ident.List_skipn List_skipn; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + v <- base.try_make_transport_cps A b; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b A; + v2 <- base.try_make_transport_cps A A; + fv0 <- (xs <- reflect_list (v0 (v x0)); + Some + (Base + (Compilers.reify_list + (skipn (let (x1, _) := xv in x1) xs)))); + Some (fv1 <-- fv0; + Base (v2 (v1 fv1)))%under_lets + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(List_skipn)%expr @ x @ x0)%expr_pat)%option +| @List_repeat A => + fun (x : expr A) (x0 : expr ℕ) => + ((match x0 with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + ((('1%pbtype -> ℕ -> (pattern.base.type.list '1)) -> '1%pbtype) -> + ℕ)%ptype (((A -> ℕ -> (list A)) -> A) -> (projT1 args))%ptype + option (fun x1 : option => x1) + with + | Some (_, (_, _), b0, _)%zrange => + if + type.type_beq base.type base.type.type_beq + (((b0 -> ℕ -> (list b0)) -> b0) -> ℕ)%ptype + (((A -> ℕ -> (list A)) -> A) -> (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.List_repeat List_repeat; + v <- base.try_make_transport_cps A b0; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + v0 <- base.try_make_transport_cps b0 b0; + v1 <- base.try_make_transport_cps b0 A; + v2 <- base.try_make_transport_cps A A; + Some + (Base + (v2 + (v1 + (Compilers.reify_list + (repeat (v0 (v x)) (let (x1, _) := xv in x1)))))) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(List_repeat)%expr @ x @ x0)%expr_pat)%option +| @List_combine A B => + fun (x : expr (list A)) (x0 : expr (list B)) => + (match + pattern.type.unify_extracted_cps + ((((pattern.base.type.list '1) -> + (pattern.base.type.list '2) -> (pattern.base.type.list ('1 * '2))) -> + (pattern.base.type.list '1)) -> (pattern.base.type.list '2))%ptype + ((((list A) -> (list B) -> (list (A * B))) -> (list A)) -> (list B))%ptype + option (fun x1 : option => x1) + with + | Some (_, (_, (_, _)), b0, b)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((list b0) -> (list b) -> (list (b0 * b))) -> (list b0)) -> + (list b))%ptype + ((((list A) -> (list B) -> (list (A * B))) -> (list A)) -> + (list B))%ptype + then + _ <- ident.unify pattern.ident.List_combine List_combine; + v <- base.try_make_transport_cps A b0; + v0 <- base.try_make_transport_cps B b; + v1 <- base.try_make_transport_cps b0 b0; + v2 <- base.try_make_transport_cps b b; + x' <- base.try_make_transport_cps b0 A; + x'0 <- base.try_make_transport_cps b B; + x'1 <- base.try_make_transport_cps A A; + x'2 <- base.try_make_transport_cps B B; + fv0 <- (x1 <- (xs <- reflect_list (v1 (v x)); + ys <- reflect_list (v2 (v0 x0)); + Some + (Compilers.reify_list + (map (fun '(x1, y)%zrange => (x1, y)%expr_pat) + (combine xs ys)))); + Some (Base x1)); + Some (fv1 <-- fv0; + Base (x'2 (x'1 (x'0 (x' fv1)))))%under_lets + else None + | None => None + end;;; + Base (#(List_combine)%expr @ x @ x0)%expr_pat)%option +| @List_map A B => + fun (x : expr A -> UnderLets (expr B)) (x0 : expr (list A)) => + ((match + pattern.type.unify_extracted_cps + (((('1%pbtype -> '2%pbtype) -> + (pattern.base.type.list '1) -> (pattern.base.type.list '2)) -> + '1%pbtype -> '2%pbtype) -> (pattern.base.type.list '1))%ptype + ((((A -> B) -> (list A) -> (list B)) -> A -> B) -> (list A))%ptype + option (fun x1 : option => x1) + with + | Some (_, _, (_, _), (_, b4), b)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((b -> b4) -> (list b) -> (list b4)) -> b -> b4) -> (list b))%ptype + ((((A -> B) -> (list A) -> (list B)) -> A -> B) -> (list A))%ptype + then + _ <- ident.unify pattern.ident.List_map List_map; + x' <- base.try_make_transport_cps A b; + x'0 <- base.try_make_transport_cps B b4; + v <- base.try_make_transport_cps A b; + x'1 <- base.try_make_transport_cps b b; + x'2 <- base.try_make_transport_cps b4 b4; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b4 B; + v2 <- base.try_make_transport_cps B B; + fv0 <- (ls <- reflect_list (v0 (v x0)); + Some + (Datatypes.list_rect + (fun _ : Datatypes.list (expr b) => + UnderLets (expr (list b4))) (Base []%expr_pat) + (fun (x1 : expr b) (_ : Datatypes.list (expr b)) + (rec : UnderLets (expr (list b4))) => + (rec' <-- rec; + fx <-- x'2 (x'1 (x'0 (x' x))) x1; + Base (fx :: rec')%expr_pat)%under_lets) ls)); + Some (fv1 <-- fv0; + Base (v2 (v1 fv1)))%under_lets + else None + | None => None + end;; + None);;; + Base + (#(List_map)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat)%option +| @List_app A => + fun x x0 : expr (list A) => + ((match + pattern.type.unify_extracted_cps + ((((pattern.base.type.list '1) -> + (pattern.base.type.list '1) -> (pattern.base.type.list '1)) -> + (pattern.base.type.list '1)) -> (pattern.base.type.list '1))%ptype + ((((list A) -> (list A) -> (list A)) -> (list A)) -> (list A))%ptype + option (fun x1 : option => x1) + with + | Some (_, (_, _), _, b)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((list b) -> (list b) -> (list b)) -> (list b)) -> (list b))%ptype + ((((list A) -> (list A) -> (list A)) -> (list A)) -> (list A))%ptype + then + _ <- ident.unify pattern.ident.List_app List_app; + v <- base.try_make_transport_cps A b; + v0 <- base.try_make_transport_cps A b; + v1 <- base.try_make_transport_cps b b; + v2 <- base.try_make_transport_cps b b; + v3 <- base.try_make_transport_cps b A; + v4 <- base.try_make_transport_cps A A; + fv0 <- (ls <- reflect_list (v1 (v x)); + Some + (Datatypes.list_rect + (fun _ : Datatypes.list (expr b) => + UnderLets (expr (list b))) (Base (v2 (v0 x0))) + (fun (x1 : expr b) (_ : Datatypes.list (expr b)) + (rec : UnderLets (expr (list b))) => + (rec' <-- rec; + Base (x1 :: rec')%expr_pat)%under_lets) ls)); + Some (fv1 <-- fv0; + Base (v4 (v3 fv1)))%under_lets + else None + | None => None + end;; + None);;; + Base (x ++ x0)%expr)%option +| @List_rev A => + fun x : expr (list A) => + ((match + pattern.type.unify_extracted_cps + (((pattern.base.type.list '1) -> (pattern.base.type.list '1)) -> + (pattern.base.type.list '1))%ptype + (((list A) -> (list A)) -> (list A))%ptype option + (fun x0 : option => x0) + with + | Some (_, _, b)%zrange => + if + type.type_beq base.type base.type.type_beq + (((list b) -> (list b)) -> (list b))%ptype + (((list A) -> (list A)) -> (list A))%ptype + then + _ <- ident.unify pattern.ident.List_rev List_rev; + v <- base.try_make_transport_cps A b; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b A; + v2 <- base.try_make_transport_cps A A; + fv0 <- (xs <- reflect_list (v0 (v x)); + Some (Base (Compilers.reify_list (rev xs)))); + Some (fv1 <-- fv0; + Base (v2 (v1 fv1)))%under_lets + else None + | None => None + end;; + None);;; + Base (#(List_rev)%expr @ x)%expr_pat)%option +| @List_flat_map A B => + fun (x : expr A -> UnderLets (expr (list B))) (x0 : expr (list A)) => + ((match + pattern.type.unify_extracted_cps + (((('1%pbtype -> (pattern.base.type.list '2)) -> + (pattern.base.type.list '1) -> (pattern.base.type.list '2)) -> + '1%pbtype -> (pattern.base.type.list '2)) -> + (pattern.base.type.list '1))%ptype + ((((A -> (list B)) -> (list A) -> (list B)) -> A -> (list B)) -> + (list A))%ptype option (fun x1 : option => x1) + with + | Some (_, _, (_, _), (_, b4), b)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((b -> (list b4)) -> (list b) -> (list b4)) -> b -> (list b4)) -> + (list b))%ptype + ((((A -> (list B)) -> (list A) -> (list B)) -> A -> (list B)) -> + (list A))%ptype + then + _ <- ident.unify pattern.ident.List_flat_map List_flat_map; + x' <- base.try_make_transport_cps A b; + x'0 <- base.try_make_transport_cps B b4; + v <- base.try_make_transport_cps A b; + x'1 <- base.try_make_transport_cps b b; + x'2 <- base.try_make_transport_cps b4 b4; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b4 B; + v2 <- base.try_make_transport_cps B B; + fv0 <- (ls <- reflect_list (v0 (v x0)); + Some + (Datatypes.list_rect + (fun _ : Datatypes.list (expr b) => + UnderLets (expr (list b4))) (Base []%expr_pat) + (fun (x1 : expr b) (_ : Datatypes.list (expr b)) + (rec : UnderLets (expr (list b4))) => + (rec' <-- rec; + fx <-- x'2 (x'1 (x'0 (x' x))) x1; + Base ($fx ++ rec')%expr)%under_lets) ls)); + Some + (fv1 <-- fv0; + fv2 <-- do_again (list B) (v1 fv1); + Base (v2 fv2))%under_lets + else None + | None => None + end;; + None);;; + Base + (#(List_flat_map)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat)%option +| @List_partition A => + fun (x : expr A -> UnderLets (expr bool)) (x0 : expr (list A)) => + ((match + pattern.type.unify_extracted_cps + (((('1%pbtype -> bool) -> + (pattern.base.type.list '1) -> + (pattern.base.type.list '1 * pattern.base.type.list '1)%pbtype) -> + '1%pbtype -> bool) -> (pattern.base.type.list '1))%ptype + ((((A -> bool) -> (list A) -> (list A * list A)%etype) -> A -> bool) -> + (list A))%ptype option (fun x1 : option => x1) + with + | Some (_, _, (_, (_, _)), (_, _), b)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((b -> bool) -> (list b) -> (list b * list b)%etype) -> + b -> bool) -> (list b))%ptype + ((((A -> bool) -> (list A) -> (list A * list A)%etype) -> + A -> bool) -> (list A))%ptype + then + _ <- ident.unify pattern.ident.List_partition List_partition; + x' <- base.try_make_transport_cps A b; + v <- base.try_make_transport_cps A b; + x'0 <- base.try_make_transport_cps b b; + v0 <- base.try_make_transport_cps b b; + x'1 <- base.try_make_transport_cps b A; + x'2 <- base.try_make_transport_cps b A; + x'3 <- base.try_make_transport_cps A A; + x'4 <- base.try_make_transport_cps A A; + fv0 <- (ls <- reflect_list (v0 (v x0)); + Some + (Datatypes.list_rect + (fun _ : Datatypes.list (expr b) => + UnderLets (expr (list b * list b)%etype)) + (Base ([], [])%expr_pat) + (fun (x1 : expr b) (_ : Datatypes.list (expr b)) + (rec : UnderLets (expr (list b * list b)%etype)) + => + (rec' <-- rec; + fx <-- x'0 (x' x) x1; + Base + (#(prod_rect)%expr @ + (λ g d : expr (list b), + (#(bool_rect)%expr @ + (λ _ : expr unit, + ($x1 :: $g, $d)%expr_pat) @ + (λ _ : expr unit, + ($g, $x1 :: $d)%expr_pat) @ $fx)%expr_pat)%expr @ + rec')%expr_pat)%under_lets) ls)); + Some + (fv1 <-- fv0; + fv2 <-- do_again (list A * list A) (x'2 (x'1 fv1)); + Base (x'4 (x'3 fv2)))%under_lets + else None + | None => None + end;; + None);;; + Base + (#(List_partition)%expr @ (λ x1 : var A, + to_expr (x ($x1)))%expr @ x0)%expr_pat)%option +| @List_fold_right A B => + fun (x : expr B -> expr A -> UnderLets (expr A)) (x0 : expr A) + (x1 : expr (list B)) => + ((match + pattern.type.unify_extracted_cps + ((((('2%pbtype -> '1%pbtype -> '1%pbtype) -> + '1%pbtype -> (pattern.base.type.list '2) -> '1%pbtype) -> + '2%pbtype -> '1%pbtype -> '1%pbtype) -> '1%pbtype) -> + (pattern.base.type.list '2))%ptype + (((((B -> A -> A) -> A -> (list B) -> A) -> B -> A -> A) -> A) -> + (list B))%ptype option (fun x2 : option => x2) + with + | Some (_, (_, _), (_, (_, _)), (_, (_, _)), b0, b)%zrange => + if + type.type_beq base.type base.type.type_beq + (((((b -> b0 -> b0) -> b0 -> (list b) -> b0) -> b -> b0 -> b0) -> + b0) -> (list b))%ptype + (((((B -> A -> A) -> A -> (list B) -> A) -> B -> A -> A) -> A) -> + (list B))%ptype + then + _ <- ident.unify pattern.ident.List_fold_right List_fold_right; + x' <- base.try_make_transport_cps B b; + x'0 <- base.try_make_transport_cps A b0; + x'1 <- base.try_make_transport_cps A b0; + v <- base.try_make_transport_cps A b0; + v0 <- base.try_make_transport_cps B b; + x'2 <- base.try_make_transport_cps b b; + x'3 <- base.try_make_transport_cps b0 b0; + x'4 <- base.try_make_transport_cps b0 b0; + v1 <- base.try_make_transport_cps b0 b0; + v2 <- base.try_make_transport_cps b b; + v3 <- base.try_make_transport_cps b0 A; + v4 <- base.try_make_transport_cps A A; + fv0 <- (ls <- reflect_list (v2 (v0 x1)); + Some + (Datatypes.list_rect + (fun _ : Datatypes.list (expr b) => + UnderLets (expr b0)) (Base (v1 (v x0))) + (fun (x2 : expr b) (_ : Datatypes.list (expr b)) + (rec : UnderLets (expr b0)) => + (rec' <-- rec; + x'4 (x'3 (x'2 (x'1 (x'0 (x' x))))) x2 rec')%under_lets) + ls)); + Some (fv1 <-- fv0; + Base (v4 (v3 fv1)))%under_lets + else None + | None => None + end;; + None);;; + Base + (#(List_fold_right)%expr @ + (λ (x2 : var B)(x3 : var A), + to_expr (x ($x2) ($x3)))%expr @ x0 @ x1)%expr_pat)%option +| @List_update_nth T => + fun (x : expr ℕ) (x0 : expr T -> UnderLets (expr T)) (x1 : expr (list T)) + => + (match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + ((((ℕ -> + ('1%pbtype -> '1%pbtype) -> + (pattern.base.type.list '1) -> (pattern.base.type.list '1)) -> + ℕ) -> '1%pbtype -> '1%pbtype) -> (pattern.base.type.list '1))%ptype + ((((ℕ -> (T -> T) -> (list T) -> (list T)) -> (projT1 args)) -> + T -> T) -> (list T))%ptype option (fun x2 : option => x2) + with + | Some (_, (_, _, (_, _)), _, (_, _), b)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((ℕ -> (b -> b) -> (list b) -> (list b)) -> ℕ) -> b -> b) -> + (list b))%ptype + ((((ℕ -> (T -> T) -> (list T) -> (list T)) -> (projT1 args)) -> + T -> T) -> (list T))%ptype + then + _ <- ident.unify pattern.ident.List_update_nth List_update_nth; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + x' <- base.try_make_transport_cps T b; + x'0 <- base.try_make_transport_cps T b; + v <- base.try_make_transport_cps T b; + x'1 <- base.try_make_transport_cps b b; + x'2 <- base.try_make_transport_cps b b; + v0 <- base.try_make_transport_cps b b; + v1 <- base.try_make_transport_cps b T; + v2 <- base.try_make_transport_cps T T; + fv0 <- (ls <- reflect_list (v0 (v x1)); + Some + (retv <---- update_nth (let (x2, _) := xv in x2) + (fun x2 : UnderLets (expr b) => + x3 <-- x2; + x'2 (x'1 (x'0 (x' x0))) x3) + (map Base ls); + Base (Compilers.reify_list retv))%under_lets); + Some (fv1 <-- fv0; + Base (v2 (v1 fv1)))%under_lets + else None + | None => None + end + | _ => None + end;;; + Base + (#(List_update_nth)%expr @ x @ (λ x2 : var T, + to_expr (x0 ($x2)))%expr @ x1)%expr_pat)%option +| @List_nth_default T => + fun (x : expr T) (x0 : expr (list T)) (x1 : expr ℕ) => + ((match x1 with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps + (((('1%pbtype -> (pattern.base.type.list '1) -> ℕ -> '1%pbtype) -> + '1%pbtype) -> (pattern.base.type.list '1)) -> ℕ)%ptype + ((((T -> (list T) -> ℕ -> T) -> T) -> (list T)) -> + (projT1 args))%ptype option (fun x2 : option => x2) + with + | Some (_, (_, (_, _)), _, b0, _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((b0 -> (list b0) -> ℕ -> b0) -> b0) -> (list b0)) -> ℕ)%ptype + ((((T -> (list T) -> ℕ -> T) -> T) -> (list T)) -> + (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.List_nth_default + List_nth_default; + v <- base.try_make_transport_cps T b0; + v0 <- base.try_make_transport_cps T b0; + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + v1 <- base.try_make_transport_cps b0 b0; + v2 <- base.try_make_transport_cps b0 b0; + v3 <- base.try_make_transport_cps b0 T; + v4 <- base.try_make_transport_cps T T; + fv0 <- (x2 <- (ls <- reflect_list (v2 (v0 x0)); + Some + (nth_default (v1 (v x)) ls + (let (x2, _) := xv in x2))); + Some (Base x2)); + Some (fv1 <-- fv0; + Base (v4 (v3 fv1)))%under_lets + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(List_nth_default)%expr @ x @ x0 @ x1)%expr_pat)%option +| Z_add => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) + + (let (x1, _) := xv0 in x1))%Z)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x + x0)%expr)%option +| Z_mul => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) * + (let (x1, _) := xv0 in x1))%Z)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x * x0)%expr)%option +| Z_pow => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) + ^ (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_pow)%expr @ x @ x0)%expr_pat)%option +| Z_sub => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) - + (let (x1, _) := xv0 in x1))%Z)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x - x0)%expr)%option +| Z_opp => + 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); + Some (Base (##(- (let (x0, _) := xv in x0))%Z)%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (- x)%expr)%option +| Z_div => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) / + (let (x1, _) := xv0 in x1))%Z)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x / x0)%expr)%option +| Z_modulo => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) + mod (let (x1, _) := xv0 in x1))%Z)%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x mod x0)%expr)%option +| Z_log2 => + 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); + Some (Base (##(Z.log2 (let (x0, _) := xv in x0)))%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(Z_log2)%expr @ x)%expr_pat)%option +| Z_log2_up => + 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); + Some (Base (##(Z.log2_up (let (x0, _) := xv in x0)))%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(Z_log2_up)%expr @ x)%expr_pat)%option +| Z_eqb => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) =? + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_eqb)%expr @ x @ x0)%expr_pat)%option +| Z_leb => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) <=? + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_leb)%expr @ x @ x0)%expr_pat)%option +| Z_geb => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##((let (x1, _) := xv in x1) >=? + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_geb)%expr @ x @ x0)%expr_pat)%option +| Z_of_nat => + fun x : expr ℕ => + ((match x with + | @expr.Ident _ _ _ t idc => + args <- invert_bind_args idc Raw.ident.Literal; + match + pattern.type.unify_extracted_cps ℕ (projT1 args) option + (fun x0 : option => x0) + with + | Some _ => + if type.type_beq base.type base.type.type_beq ℕ (projT1 args) + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args); + Some (Base (##(Z.of_nat (let (x0, _) := xv in x0)))%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(Z_of_nat)%expr @ x)%expr_pat)%option +| Z_to_nat => + 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); + Some (Base (##(Z.to_nat (let (x0, _) := xv in x0)))%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(Z_to_nat)%expr @ x)%expr_pat)%option +| Z_shiftr => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##(Z.shiftr (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x >> x0)%expr)%option +| Z_shiftl => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##(Z.shiftl (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x << x0)%expr)%option +| Z_land => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##(Z.land (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x &' x0)%expr)%option +| Z_lor => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##(Z.lor (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (x || x0)%expr)%option +| Z_bneg => + 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); + Some (Base (##(Z.bneg (let (x0, _) := xv in x0)))%expr) + else None + | None => None + end + | _ => None + end;; + None);;; + Base (#(Z_bneg)%expr @ x)%expr_pat)%option +| Z_lnot_modulo => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##(Z.lnot_modulo (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_lnot_modulo)%expr @ x @ x0)%expr_pat)%option +| Z_mul_split => + 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.mul_split (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 + | _ => None + end + | _ => 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 + | _ => None + end + | _ => 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 => + 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 + (##(Z.add_with_carry (let (x2, _) := xv in x2) + (let (x2, _) := xv0 in x2) + (let (x2, _) := xv1 in x2)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end + | _ => None + end;; + None);;; + 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 + | _ => None + end + | _ => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_add_with_get_carry)%expr @ x @ x0 @ x1 @ x2)%expr_pat)%option +| Z_sub_get_borrow => + 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.sub_get_borrow_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 + | _ => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_sub_get_borrow)%expr @ x @ x0 @ x1)%expr_pat)%option +| Z_sub_with_get_borrow => + 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.sub_with_get_borrow_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 + | _ => None + end + | _ => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_sub_with_get_borrow)%expr @ x @ x0 @ x1 @ x2)%expr_pat)%option +| Z_zselect => + 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 + (##(Z.zselect (let (x2, _) := xv in x2) + (let (x2, _) := xv0 in x2) + (let (x2, _) := xv1 in x2)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_zselect)%expr @ x @ x0 @ x1)%expr_pat)%option +| Z_add_modulo => + 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 + (##(Z.add_modulo (let (x2, _) := xv in x2) + (let (x2, _) := xv0 in x2) + (let (x2, _) := xv1 in x2)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_add_modulo)%expr @ x @ x0 @ x1)%expr_pat)%option +| Z_rshi => + 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 + (##(Z.rshi (let (x3, _) := xv in x3) + (let (x3, _) := xv0 in x3) + (let (x3, _) := xv1 in x3) + (let (x3, _) := xv2 in x3)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_rshi)%expr @ x @ x0 @ x1 @ x2)%expr_pat)%option +| Z_cc_m => + fun x x0 : 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)%ptype + ((projT1 args0) -> (projT1 args))%ptype option + (fun x1 : option => x1) + with + | Some (_, _)%zrange => + if + type.type_beq base.type base.type.type_beq (ℤ -> ℤ)%ptype + ((projT1 args0) -> (projT1 args))%ptype + then + xv <- ident.unify pattern.ident.Literal ##(projT2 args0); + xv0 <- ident.unify pattern.ident.Literal ##(projT2 args); + Some + (Base + (##(Z.cc_m (let (x1, _) := xv in x1) + (let (x1, _) := xv0 in x1)))%expr) + else None + | None => None + end + | _ => None + end + | _ => None + end;; + None);;; + Base (#(Z_cc_m)%expr @ x @ x0)%expr_pat)%option +| Z_cast range => fun x : expr ℤ => Base (#(Z_cast range)%expr @ x)%expr_pat +| Z_cast2 range => + fun x : expr (ℤ * ℤ)%etype => Base (#(Z_cast2 range)%expr @ x)%expr_pat +| fancy_add log2wordmax imm => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_add log2wordmax imm)%expr @ x)%expr_pat +| fancy_addc log2wordmax imm => + fun x : expr (ℤ * ℤ * ℤ)%etype => + Base (#(fancy_addc log2wordmax imm)%expr @ x)%expr_pat +| fancy_sub log2wordmax imm => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_sub log2wordmax imm)%expr @ x)%expr_pat +| fancy_subb log2wordmax imm => + fun x : expr (ℤ * ℤ * ℤ)%etype => + Base (#(fancy_subb log2wordmax imm)%expr @ x)%expr_pat +| fancy_mulll log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mulll log2wordmax)%expr @ x)%expr_pat +| fancy_mullh log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mullh log2wordmax)%expr @ x)%expr_pat +| fancy_mulhl log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mulhl log2wordmax)%expr @ x)%expr_pat +| fancy_mulhh log2wordmax => + fun x : expr (ℤ * ℤ)%etype => + Base (#(fancy_mulhh log2wordmax)%expr @ x)%expr_pat +| fancy_rshi log2wordmax x => + fun x0 : expr (ℤ * ℤ)%etype => + Base (#(fancy_rshi log2wordmax x)%expr @ x0)%expr_pat +| fancy_selc => + fun x : expr (ℤ * ℤ * ℤ)%etype => + ((match x with + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @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.Literal; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.pair; + args3 <- invert_bind_args idc Raw.ident.pair; + match + pattern.type.unify_extracted_cps + ((((ℤ * ℤ)%pbtype -> ℤ -> (ℤ * ℤ * ℤ)%pbtype) -> + ((ℤ -> ℤ -> (ℤ * ℤ)%pbtype) -> ℤ) -> ℤ) -> ℤ)%ptype + ((((let (x4, _) := args3 in x4) -> + (let (_, y) := args3 in y) -> + ((let (x4, _) := args3 in x4) * (let (_, y) := args3 in y))%etype) -> + (((let (x4, _) := args2 in x4) -> + (let (_, y) := args2 in y) -> + ((let (x4, _) := args2 in x4) * (let (_, y) := args2 in y))%etype) -> + (projT1 args1)) -> (projT1 args0)) -> (projT1 args))%ptype + option (fun x4 : option => x4) + with + | Some (_, _, (_, (_, _, _)), (_, (_, (_, _)), _, _), _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((ℤ * ℤ)%etype -> ℤ -> (ℤ * ℤ * ℤ)%etype) -> + ((ℤ -> ℤ -> (ℤ * ℤ)%etype) -> ℤ) -> ℤ) -> ℤ)%ptype + ((((let (x4, _) := args3 in x4) -> + (let (_, y) := args3 in y) -> + ((let (x4, _) := args3 in x4) * + (let (_, y) := args3 in y))%etype) -> + (((let (x4, _) := args2 in x4) -> + (let (_, y) := args2 in y) -> + ((let (x4, _) := args2 in x4) * + (let (_, y) := args2 in y))%etype) -> (projT1 args1)) -> + (projT1 args0)) -> (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.pair pair; + _ <- ident.unify pattern.ident.pair pair; + 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 + (##(fancy.interp (invert_Some (to_fancy fancy_selc)) + (let (x4, _) := xv in x4, let (x4, _) := xv0 in x4, + let (x4, _) := xv1 in x4)%zrange))%expr) + else None + | None => None + end + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ ($_)%expr) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ + _ _ _ _ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ (_ @ _)) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.LetIn + _ _ _ _ _ _ _) @ _)%expr_pat => None + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ (_ @ _) @ _) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat => + None + | (@expr.Ident _ _ _ t idc @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (#(_) @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (($_)%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 | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => + None + | _ => None + end;; + None);;; + Base (#(fancy_selc)%expr @ x)%expr_pat)%option +| 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 => + ((match x with + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @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.Literal; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.pair; + args3 <- invert_bind_args idc Raw.ident.pair; + match + pattern.type.unify_extracted_cps + ((((ℤ * ℤ)%pbtype -> ℤ -> (ℤ * ℤ * ℤ)%pbtype) -> + ((ℤ -> ℤ -> (ℤ * ℤ)%pbtype) -> ℤ) -> ℤ) -> ℤ)%ptype + ((((let (x4, _) := args3 in x4) -> + (let (_, y) := args3 in y) -> + ((let (x4, _) := args3 in x4) * (let (_, y) := args3 in y))%etype) -> + (((let (x4, _) := args2 in x4) -> + (let (_, y) := args2 in y) -> + ((let (x4, _) := args2 in x4) * (let (_, y) := args2 in y))%etype) -> + (projT1 args1)) -> (projT1 args0)) -> (projT1 args))%ptype + option (fun x4 : option => x4) + with + | Some (_, _, (_, (_, _, _)), (_, (_, (_, _)), _, _), _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((ℤ * ℤ)%etype -> ℤ -> (ℤ * ℤ * ℤ)%etype) -> + ((ℤ -> ℤ -> (ℤ * ℤ)%etype) -> ℤ) -> ℤ) -> ℤ)%ptype + ((((let (x4, _) := args3 in x4) -> + (let (_, y) := args3 in y) -> + ((let (x4, _) := args3 in x4) * + (let (_, y) := args3 in y))%etype) -> + (((let (x4, _) := args2 in x4) -> + (let (_, y) := args2 in y) -> + ((let (x4, _) := args2 in x4) * + (let (_, y) := args2 in y))%etype) -> (projT1 args1)) -> + (projT1 args0)) -> (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.pair pair; + _ <- ident.unify pattern.ident.pair pair; + 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 + (##(fancy.interp (invert_Some (to_fancy fancy_sell)) + (let (x4, _) := xv in x4, let (x4, _) := xv0 in x4, + let (x4, _) := xv1 in x4)%zrange))%expr) + else None + | None => None + end + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ ($_)%expr) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ + _ _ _ _ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ (_ @ _)) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.LetIn + _ _ _ _ _ _ _) @ _)%expr_pat => None + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ (_ @ _) @ _) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat => + None + | (@expr.Ident _ _ _ t idc @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (#(_) @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (($_)%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 | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => + None + | _ => None + end;; + None);;; + Base (#(fancy_sell)%expr @ x)%expr_pat)%option +| fancy_addm => + fun x : expr (ℤ * ℤ * ℤ)%etype => + ((match x with + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @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.Literal; + args1 <- invert_bind_args idc1 Raw.ident.Literal; + args2 <- invert_bind_args idc0 Raw.ident.pair; + args3 <- invert_bind_args idc Raw.ident.pair; + match + pattern.type.unify_extracted_cps + ((((ℤ * ℤ)%pbtype -> ℤ -> (ℤ * ℤ * ℤ)%pbtype) -> + ((ℤ -> ℤ -> (ℤ * ℤ)%pbtype) -> ℤ) -> ℤ) -> ℤ)%ptype + ((((let (x4, _) := args3 in x4) -> + (let (_, y) := args3 in y) -> + ((let (x4, _) := args3 in x4) * (let (_, y) := args3 in y))%etype) -> + (((let (x4, _) := args2 in x4) -> + (let (_, y) := args2 in y) -> + ((let (x4, _) := args2 in x4) * (let (_, y) := args2 in y))%etype) -> + (projT1 args1)) -> (projT1 args0)) -> (projT1 args))%ptype + option (fun x4 : option => x4) + with + | Some (_, _, (_, (_, _, _)), (_, (_, (_, _)), _, _), _)%zrange => + if + type.type_beq base.type base.type.type_beq + ((((ℤ * ℤ)%etype -> ℤ -> (ℤ * ℤ * ℤ)%etype) -> + ((ℤ -> ℤ -> (ℤ * ℤ)%etype) -> ℤ) -> ℤ) -> ℤ)%ptype + ((((let (x4, _) := args3 in x4) -> + (let (_, y) := args3 in y) -> + ((let (x4, _) := args3 in x4) * + (let (_, y) := args3 in y))%etype) -> + (((let (x4, _) := args2 in x4) -> + (let (_, y) := args2 in y) -> + ((let (x4, _) := args2 in x4) * + (let (_, y) := args2 in y))%etype) -> (projT1 args1)) -> + (projT1 args0)) -> (projT1 args))%ptype + then + _ <- ident.unify pattern.ident.pair pair; + _ <- ident.unify pattern.ident.pair pair; + 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 + (##(fancy.interp (invert_Some (to_fancy fancy_addm)) + (let (x4, _) := xv in x4, let (x4, _) := xv0 in x4, + let (x4, _) := xv1 in x4)%zrange))%expr) + else None + | None => None + end + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ ($_)%expr)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ @expr.Abs _ _ _ _ _ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ (_ @ _))%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Ident + _ _ _ t2 idc2) @ @expr.LetIn _ _ _ _ _ _ _)%expr_pat => None + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ ($_)%expr) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.Abs _ + _ _ _ _ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ (_ @ _)) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Ident _ _ _ t1 idc1 @ @expr.LetIn + _ _ _ _ _ _ _) @ _)%expr_pat => None + | (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ ($_)%expr @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.Abs _ _ _ _ _ _ @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (@expr.Ident _ _ _ t0 idc0 @ (_ @ _) @ _) @ + _)%expr_pat | + (@expr.Ident _ _ _ t idc @ + (@expr.Ident _ _ _ t0 idc0 @ @expr.LetIn _ _ _ _ _ _ _ @ _) @ _)%expr_pat => + None + | (@expr.Ident _ _ _ t idc @ #(_) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ ($_)%expr @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ @expr.Abs _ _ _ _ _ _ @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (#(_) @ _) @ _)%expr_pat | + (@expr.Ident _ _ _ t idc @ (($_)%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 | + (@expr.Ident _ _ _ t idc @ @expr.LetIn _ _ _ _ _ _ _ @ _)%expr_pat => + None + | _ => None + end;; + None);;; + Base (#(fancy_addm)%expr @ x)%expr_pat)%option +end + : Compile.value' true t |