Average Error: 0.0 → 0.0
Time: 993.0ms
Precision: 64
\[x \cdot e^{y \cdot y}\]
↓
\[x \cdot e^{y \cdot y}\]
x \cdot e^{y \cdot y}
↓
x \cdot e^{y \cdot y}
double f(double x, double y) {
        double r764905 = x;
        double r764906 = y;
        double r764907 = r764906 * r764906;
        double r764908 = exp(r764907);
        double r764909 = r764905 * r764908;
        return r764909;
}
↓
double f(double x, double y) {
        double r764910 = x;
        double r764911 = y;
        double r764912 = r764911 * r764911;
        double r764913 = exp(r764912);
        double r764914 = r764910 * r764913;
        return r764914;
}

Error

Bits error versus x

Bits error versus y

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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

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

Reproduce

herbie shell --seed 2020039 
(FPCore (x y)
  :name "Data.Number.Erf:$dmerfcx from erf-2.0.0.0"
  :precision binary64

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

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