Average Error: 0.0 → 15.4
Time: 11.2s
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 r215589 = x;
        double r215590 = y;
        double r215591 = log(r215590);
        double r215592 = r215590 * r215591;
        double r215593 = r215589 + r215592;
        double r215594 = z;
        double r215595 = r215593 - r215594;
        double r215596 = exp(r215595);
        return r215596;
}
↓
double f(double x, double y, double z) {
        double r215597 = y;
        double r215598 = pow(r215597, r215597);
        double r215599 = x;
        double r215600 = z;
        double r215601 = r215599 - r215600;
        double r215602 = exp(r215601);
        double r215603 = r215598 * r215602;
        return r215603;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Results

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Target

Original0.0
Target0.0
Herbie15.4
\[e^{\left(x - z\right) + \log y \cdot y}\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification15.4

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

Reproduce

herbie shell --seed 2019297 
(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)))