Average Error: 0.0 → 0.0
Time: 8.2s
Precision: 64
\[x \cdot e^{y \cdot y}\]
↓
\[e^{y \cdot y} \cdot x\]
x \cdot e^{y \cdot y}
↓
e^{y \cdot y} \cdot x
double f(double x, double y) {
        double r32633867 = x;
        double r32633868 = y;
        double r32633869 = r32633868 * r32633868;
        double r32633870 = exp(r32633869);
        double r32633871 = r32633867 * r32633870;
        return r32633871;
}
↓
double f(double x, double y) {
        double r32633872 = y;
        double r32633873 = r32633872 * r32633872;
        double r32633874 = exp(r32633873);
        double r32633875 = x;
        double r32633876 = r32633874 * r32633875;
        return r32633876;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[x \cdot {\left(e^{y}\right)}^{y}\]

Derivation

  1. Initial program 0.0

    \[x \cdot e^{y \cdot y}\]

  2. Final simplification0.0

    \[\leadsto e^{y \cdot y} \cdot x\]

Reproduce

herbie shell --seed 2019171 +o rules:numerics
(FPCore (x y)
  :name "Data.Number.Erf:$dmerfcx from erf-2.0.0.0"

  :herbie-target
  (* x (pow (exp y) y))

  (* x (exp (* y y))))