Average Error: 0.0 → 0.0
Time: 9.8s
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 r35215144 = x;
        double r35215145 = y;
        double r35215146 = r35215145 * r35215145;
        double r35215147 = exp(r35215146);
        double r35215148 = r35215144 * r35215147;
        return r35215148;
}
↓
double f(double x, double y) {
        double r35215149 = y;
        double r35215150 = r35215149 * r35215149;
        double r35215151 = exp(r35215150);
        double r35215152 = x;
        double r35215153 = r35215151 * r35215152;
        return r35215153;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

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 2019162 
(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))))