Average Error: 0.0 → 15.7
Time: 10.5s
Precision: 64
\[e^{\left(x + y \cdot \log y\right) - z}\]
↓
\[{y}^{y} \cdot e^{x - z}\]
e^{\left(x + y \cdot \log y\right) - z}
↓
{y}^{y} \cdot e^{x - z}
double f(double x, double y, double z) {
        double r201606 = x;
        double r201607 = y;
        double r201608 = log(r201607);
        double r201609 = r201607 * r201608;
        double r201610 = r201606 + r201609;
        double r201611 = z;
        double r201612 = r201610 - r201611;
        double r201613 = exp(r201612);
        return r201613;
}
↓
double f(double x, double y, double z) {
        double r201614 = y;
        double r201615 = pow(r201614, r201614);
        double r201616 = x;
        double r201617 = z;
        double r201618 = r201616 - r201617;
        double r201619 = exp(r201618);
        double r201620 = r201615 * r201619;
        return r201620;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

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Target

Original0.0
Target0.0
Herbie15.7
\[e^{\left(x - z\right) + \log y \cdot y}\]

Derivation

  1. Initial program 0.0

    \[e^{\left(x + y \cdot \log y\right) - z}\]

  2. Final simplification15.7

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

Reproduce

herbie shell --seed 2019291 
(FPCore (x y z)
  :name "Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2"
  :precision binary64

  :herbie-target
  (exp (+ (- x z) (* (log y) y)))

  (exp (- (+ x (* y (log y))) z)))