Average Error: 0.0 → 15.5
Time: 9.3s
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 r205568 = x;
        double r205569 = y;
        double r205570 = log(r205569);
        double r205571 = r205569 * r205570;
        double r205572 = r205568 + r205571;
        double r205573 = z;
        double r205574 = r205572 - r205573;
        double r205575 = exp(r205574);
        return r205575;
}
↓
double f(double x, double y, double z) {
        double r205576 = y;
        double r205577 = pow(r205576, r205576);
        double r205578 = x;
        double r205579 = z;
        double r205580 = r205578 - r205579;
        double r205581 = exp(r205580);
        double r205582 = r205577 * r205581;
        return r205582;
}

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
Herbie15.5
\[e^{\left(x - z\right) + \log y \cdot y}\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification15.5

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

Reproduce

herbie shell --seed 2019298 
(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)))