Average Error: 0.0 → 0.0
Time: 12.0s
Precision: 64
\[e^{\left(x + y \cdot \log y\right) - z}\]
\[e^{\left(\log y \cdot y + x\right) - z}\]
e^{\left(x + y \cdot \log y\right) - z}
e^{\left(\log y \cdot y + x\right) - z}
double f(double x, double y, double z) {
        double r17664095 = x;
        double r17664096 = y;
        double r17664097 = log(r17664096);
        double r17664098 = r17664096 * r17664097;
        double r17664099 = r17664095 + r17664098;
        double r17664100 = z;
        double r17664101 = r17664099 - r17664100;
        double r17664102 = exp(r17664101);
        return r17664102;
}

double f(double x, double y, double z) {
        double r17664103 = y;
        double r17664104 = log(r17664103);
        double r17664105 = r17664104 * r17664103;
        double r17664106 = x;
        double r17664107 = r17664105 + r17664106;
        double r17664108 = z;
        double r17664109 = r17664107 - r17664108;
        double r17664110 = exp(r17664109);
        return r17664110;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

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Target

Original0.0
Target0.0
Herbie0.0
\[e^{\left(x - z\right) + \log y \cdot y}\]

Derivation

  1. Initial program 0.0

    \[e^{\left(x + y \cdot \log y\right) - z}\]
  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Statistics.Distribution.Poisson.Internal:probability from math-functions-0.1.5.2"

  :herbie-target
  (exp (+ (- x z) (* (log y) y)))

  (exp (- (+ x (* y (log y))) z)))