Average Error: 0.0 → 0.0
Time: 15.8s
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 r839194 = x;
        double r839195 = y;
        double r839196 = r839195 * r839195;
        double r839197 = exp(r839196);
        double r839198 = r839194 * r839197;
        return r839198;
}

double f(double x, double y) {
        double r839199 = x;
        double r839200 = y;
        double r839201 = r839200 * r839200;
        double r839202 = exp(r839201);
        double r839203 = r839199 * r839202;
        return r839203;
}

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))))