Average Error: 0.1 → 0.1
Time: 22.3s
Precision: 64
\[\left(x \cdot \log y - z\right) - y\]
↓
\[\left(\left(\log \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot x + x \cdot \log \left(\sqrt[3]{y}\right)\right) - z\right) - y\]
\left(x \cdot \log y - z\right) - y
↓
\left(\left(\log \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot x + x \cdot \log \left(\sqrt[3]{y}\right)\right) - z\right) - y
double f(double x, double y, double z) {
        double r1184338 = x;
        double r1184339 = y;
        double r1184340 = log(r1184339);
        double r1184341 = r1184338 * r1184340;
        double r1184342 = z;
        double r1184343 = r1184341 - r1184342;
        double r1184344 = r1184343 - r1184339;
        return r1184344;
}
↓
double f(double x, double y, double z) {
        double r1184345 = y;
        double r1184346 = cbrt(r1184345);
        double r1184347 = r1184346 * r1184346;
        double r1184348 = log(r1184347);
        double r1184349 = x;
        double r1184350 = r1184348 * r1184349;
        double r1184351 = log(r1184346);
        double r1184352 = r1184349 * r1184351;
        double r1184353 = r1184350 + r1184352;
        double r1184354 = z;
        double r1184355 = r1184353 - r1184354;
        double r1184356 = r1184355 - r1184345;
        return r1184356;
}

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-lft-in0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (x y z)
  :name "Statistics.Distribution.Poisson:$clogProbability from math-functions-0.1.5.2"
  (- (- (* x (log y)) z) y))