Average Error: 0.0 → 15.7
Time: 9.2s
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 r233881 = x;
        double r233882 = y;
        double r233883 = log(r233882);
        double r233884 = r233882 * r233883;
        double r233885 = r233881 + r233884;
        double r233886 = z;
        double r233887 = r233885 - r233886;
        double r233888 = exp(r233887);
        return r233888;
}
↓
double f(double x, double y, double z) {
        double r233889 = y;
        double r233890 = pow(r233889, r233889);
        double r233891 = x;
        double r233892 = z;
        double r233893 = r233891 - r233892;
        double r233894 = exp(r233893);
        double r233895 = r233890 * r233894;
        return r233895;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

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 2019294 
(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)))