Average Error: 0.0 → 0.0
Time: 10.5s
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 r40335484 = x;
        double r40335485 = y;
        double r40335486 = r40335485 * r40335485;
        double r40335487 = exp(r40335486);
        double r40335488 = r40335484 * r40335487;
        return r40335488;
}
↓
double f(double x, double y) {
        double r40335489 = y;
        double r40335490 = r40335489 * r40335489;
        double r40335491 = exp(r40335490);
        double r40335492 = x;
        double r40335493 = r40335491 * r40335492;
        return r40335493;
}

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

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

Reproduce

herbie shell --seed 2019171 
(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))))