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RungeKuttaProgCompScript.sml
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RungeKuttaProgCompScript.sml
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(*
Auto-generated by Daisy (https://gitlab.mpi-sws.org/AVA/daisy
*)
(* INCLUDES, do not change those *)
open exampleLib;
val _ = new_theory "RungeKuttaProgComp";
val _ = translation_extends "cfSupport";
Definition theAST_pre_def:
theAST_pre = \ (x:(string, string) id).
if x = Short "c" then (((50)/(1), (200)/(1)):real#real)
else if x = Short "h" then (((1)/(100000), (1)/(10)):real#real)
else if x = Short "y_n" then (((0)/(1), (100)/(1)):real#real)
else (0,0)
End
Definition theAST_def:
theAST =
[ Dlet unknown_loc (Pvar "rungeKutta")
(Fun "h"(Fun "y_n"(Fun "c"
(FpOptimise Opt
(ast$Let (SOME "sixieme")
(App FpFromWord [Lit (Word64 (4595172819793696085w:word64))])
(ast$Let (SOME "eps")
(App FpFromWord [Lit (Word64 (4572414629676717179w:word64))])
(ast$Let (SOME "k")
(App FpFromWord [Lit (Word64 (4608083138725491507w:word64))])
(ast$Let (SOME "v")
(App (FP_bop FP_Sub)
[
Var (Short "c");
Var (Short "y_n")
])
(ast$Let (SOME "k1")
(App (FP_bop FP_Mul)
[
(App (FP_bop FP_Mul)
[
Var (Short "k");
Var (Short "v")
]);
Var (Short "v")
])
(ast$Let (SOME "v_1")
(App (FP_bop FP_Sub)
[
Var (Short "c");
(App (FP_bop FP_Add)
[
Var (Short "y_n");
(App (FP_bop FP_Mul)
[
(App (FP_bop FP_Mul)
[
(App FpFromWord [Lit (Word64 (4602678819172646912w:word64))]);
Var (Short "h")
]);
Var (Short "k1")
])
])
])
(ast$Let (SOME "k2")
(App (FP_bop FP_Mul)
[
(App (FP_bop FP_Mul)
[
Var (Short "k");
Var (Short "v_1")
]);
Var (Short "v_1")
])
(ast$Let (SOME "v_2")
(App (FP_bop FP_Sub)
[
Var (Short "c");
(App (FP_bop FP_Add)
[
Var (Short "y_n");
(App (FP_bop FP_Mul)
[
(App (FP_bop FP_Mul)
[
(App FpFromWord [Lit (Word64 (4602678819172646912w:word64))]);
Var (Short "h")
]);
Var (Short "k2")
])
])
])
(ast$Let (SOME "k3")
(App (FP_bop FP_Mul)
[
(App (FP_bop FP_Mul)
[
Var (Short "k");
Var (Short "v_2")
]);
Var (Short "v_2")
])
(ast$Let (SOME "v_3")
(App (FP_bop FP_Sub)
[
Var (Short "c");
(App (FP_bop FP_Add)
[
Var (Short "y_n");
(App (FP_bop FP_Mul)
[
Var (Short "h");
Var (Short "k3")
])
])
])
(ast$Let (SOME "k4")
(App (FP_bop FP_Mul)
[
(App (FP_bop FP_Mul)
[
Var (Short "k");
Var (Short "v_3")
]);
Var (Short "v_3")
])
(ast$Let (SOME "y_n_2")
(App (FP_bop FP_Add)
[
Var (Short "y_n");
(App (FP_bop FP_Mul)
[
(App (FP_bop FP_Mul)
[
Var (Short "sixieme");
Var (Short "h")
]);
(App (FP_bop FP_Add)
[
(App (FP_bop FP_Add)
[
(App (FP_bop FP_Add)
[
Var (Short "k1");
(App (FP_bop FP_Mul)
[
(App FpFromWord [Lit (Word64 (4611686018427387904w:word64))]);
Var (Short "k2")
])
]);
(App (FP_bop FP_Mul)
[
(App FpFromWord [Lit (Word64 (4611686018427387904w:word64))]);
Var (Short "k3")
])
]);
Var (Short "k4")
])
])
])
(ast$Var (Short "y_n_2"))))))))))))))))))]
End
Definition theErrBound_def:
theErrBound = inv (2 pow (5))
End
val x = define_benchmark theAST_def theAST_pre_def true;
val _ = export_theory();