Average Error: 0.1 → 0.1
Time: 17.6s
Precision: 64
\[\left(x \cdot \log y - z\right) - y\]
↓
\[\left(\left(\log \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot x + \log \left(\sqrt[3]{y}\right) \cdot x\right) - z\right) - y\]
\left(x \cdot \log y - z\right) - y
↓
\left(\left(\log \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot x + \log \left(\sqrt[3]{y}\right) \cdot x\right) - z\right) - y
double f(double x, double y, double z) {
        double r1008593 = x;
        double r1008594 = y;
        double r1008595 = log(r1008594);
        double r1008596 = r1008593 * r1008595;
        double r1008597 = z;
        double r1008598 = r1008596 - r1008597;
        double r1008599 = r1008598 - r1008594;
        return r1008599;
}
↓
double f(double x, double y, double z) {
        double r1008600 = y;
        double r1008601 = cbrt(r1008600);
        double r1008602 = r1008601 * r1008601;
        double r1008603 = log(r1008602);
        double r1008604 = x;
        double r1008605 = r1008603 * r1008604;
        double r1008606 = log(r1008601);
        double r1008607 = r1008606 * r1008604;
        double r1008608 = r1008605 + r1008607;
        double r1008609 = z;
        double r1008610 = r1008608 - r1008609;
        double r1008611 = r1008610 - r1008600;
        return r1008611;
}

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

Derivation

  1. Initial program 0.1

    \[\left(x \cdot \log y - z\right) - y\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.1

    \[\leadsto \left(x \cdot \log \color{blue}{\left(\left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot \sqrt[3]{y}\right)} - z\right) - y\]

  4. Applied log-prod0.1

    \[\leadsto \left(x \cdot \color{blue}{\left(\log \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) + \log \left(\sqrt[3]{y}\right)\right)} - z\right) - y\]

  5. Applied distribute-rgt-in0.1

    \[\leadsto \left(\color{blue}{\left(\log \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot x + \log \left(\sqrt[3]{y}\right) \cdot x\right)} - z\right) - y\]

  6. Final simplification0.1

    \[\leadsto \left(\left(\log \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot x + \log \left(\sqrt[3]{y}\right) \cdot x\right) - z\right) - y\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Distribution.Poisson:$clogProbability from math-functions-0.1.5.2"
  (- (- (* x (log y)) z) y))