Average Error: 0.0 → 0.0
Time: 2.6s
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 r749722 = x;
        double r749723 = y;
        double r749724 = r749723 * r749723;
        double r749725 = exp(r749724);
        double r749726 = r749722 * r749725;
        return r749726;
}

double f(double x, double y) {
        double r749727 = x;
        double r749728 = y;
        double r749729 = r749728 * r749728;
        double r749730 = exp(r749729);
        double r749731 = r749727 * r749730;
        return r749731;
}

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 2020047 
(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))))