Average Error: 0.1 → 0.1
Time: 20.1s
Precision: 64
\[\left(x \cdot \log y - z\right) - y\]
↓
\[\left(\left(\left(x + x\right) \cdot \log \left(\sqrt[3]{y}\right) + \frac{1}{3} \cdot \left(x \cdot \log y\right)\right) - z\right) - y\]
\left(x \cdot \log y - z\right) - y
↓
\left(\left(\left(x + x\right) \cdot \log \left(\sqrt[3]{y}\right) + \frac{1}{3} \cdot \left(x \cdot \log y\right)\right) - z\right) - y
double f(double x, double y, double z) {
        double r1348349 = x;
        double r1348350 = y;
        double r1348351 = log(r1348350);
        double r1348352 = r1348349 * r1348351;
        double r1348353 = z;
        double r1348354 = r1348352 - r1348353;
        double r1348355 = r1348354 - r1348350;
        return r1348355;
}
↓
double f(double x, double y, double z) {
        double r1348356 = x;
        double r1348357 = r1348356 + r1348356;
        double r1348358 = y;
        double r1348359 = cbrt(r1348358);
        double r1348360 = log(r1348359);
        double r1348361 = r1348357 * r1348360;
        double r1348362 = 0.3333333333333333;
        double r1348363 = log(r1348358);
        double r1348364 = r1348356 * r1348363;
        double r1348365 = r1348362 * r1348364;
        double r1348366 = r1348361 + r1348365;
        double r1348367 = z;
        double r1348368 = r1348366 - r1348367;
        double r1348369 = r1348368 - r1348358;
        return r1348369;
}

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. Simplified0.1

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

  8. Applied pow1/30.1

    \[\leadsto \left(\left(\log \left(\sqrt[3]{y}\right) \cdot \left(x + x\right) + \log \color{blue}{\left({y}^{\frac{1}{3}}\right)} \cdot x\right) - z\right) - y\]

  9. Applied log-pow0.1

    \[\leadsto \left(\left(\log \left(\sqrt[3]{y}\right) \cdot \left(x + x\right) + \color{blue}{\left(\frac{1}{3} \cdot \log y\right)} \cdot x\right) - z\right) - y\]

  10. Applied associate-*l*0.1

    \[\leadsto \left(\left(\log \left(\sqrt[3]{y}\right) \cdot \left(x + x\right) + \color{blue}{\frac{1}{3} \cdot \left(\log y \cdot x\right)}\right) - z\right) - y\]

  11. Final simplification0.1

    \[\leadsto \left(\left(\left(x + x\right) \cdot \log \left(\sqrt[3]{y}\right) + \frac{1}{3} \cdot \left(x \cdot \log y\right)\right) - z\right) - y\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z)
  :name "Statistics.Distribution.Poisson:$clogProbability from math-functions-0.1.5.2"
  (- (- (* x (log y)) z) y))