Average Error: 0.0 → 15.2
Time: 6.0s
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 r178982 = x;
        double r178983 = y;
        double r178984 = log(r178983);
        double r178985 = r178983 * r178984;
        double r178986 = r178982 + r178985;
        double r178987 = z;
        double r178988 = r178986 - r178987;
        double r178989 = exp(r178988);
        return r178989;
}
↓
double f(double x, double y, double z) {
        double r178990 = y;
        double r178991 = pow(r178990, r178990);
        double r178992 = x;
        double r178993 = z;
        double r178994 = r178992 - r178993;
        double r178995 = exp(r178994);
        double r178996 = r178991 * r178995;
        return r178996;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie15.2
\[e^{\left(x - z\right) + \log y \cdot y}\]

Derivation

  1. Initial program 0.0

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

  2. Final simplification15.2

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

Reproduce

herbie shell --seed 2019304 
(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)))