Average Error: 0.0 → 0.0
Time: 7.8s
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 r506808 = x;
        double r506809 = y;
        double r506810 = r506809 * r506809;
        double r506811 = exp(r506810);
        double r506812 = r506808 * r506811;
        return r506812;
}

double f(double x, double y) {
        double r506813 = x;
        double r506814 = y;
        double r506815 = r506814 * r506814;
        double r506816 = exp(r506815);
        double r506817 = r506813 * r506816;
        return r506817;
}

Error

Bits error versus x

Bits error versus y

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Results

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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 2019323 
(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))))