Average Error: 0.0 → 15.9
Time: 9.6s
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 r194381 = x;
        double r194382 = y;
        double r194383 = log(r194382);
        double r194384 = r194382 * r194383;
        double r194385 = r194381 + r194384;
        double r194386 = z;
        double r194387 = r194385 - r194386;
        double r194388 = exp(r194387);
        return r194388;
}
↓
double f(double x, double y, double z) {
        double r194389 = y;
        double r194390 = pow(r194389, r194389);
        double r194391 = x;
        double r194392 = z;
        double r194393 = r194391 - r194392;
        double r194394 = exp(r194393);
        double r194395 = r194390 * r194394;
        return r194395;
}

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
Herbie15.9
\[e^{\left(x - z\right) + \log y \cdot y}\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification15.9

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

Reproduce

herbie shell --seed 2019303 
(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)))