Average Error: 0.1 → 0.1
Time: 18.2s
Precision: 64
\[\left(x \cdot \log y - z\right) - y\]
↓
\[\left(\left(\log \left(\sqrt{y}\right) \cdot x - z\right) - y\right) + \log \left(\sqrt{y}\right) \cdot x\]
\left(x \cdot \log y - z\right) - y
↓
\left(\left(\log \left(\sqrt{y}\right) \cdot x - z\right) - y\right) + \log \left(\sqrt{y}\right) \cdot x
double f(double x, double y, double z) {
        double r1268790 = x;
        double r1268791 = y;
        double r1268792 = log(r1268791);
        double r1268793 = r1268790 * r1268792;
        double r1268794 = z;
        double r1268795 = r1268793 - r1268794;
        double r1268796 = r1268795 - r1268791;
        return r1268796;
}
↓
double f(double x, double y, double z) {
        double r1268797 = y;
        double r1268798 = sqrt(r1268797);
        double r1268799 = log(r1268798);
        double r1268800 = x;
        double r1268801 = r1268799 * r1268800;
        double r1268802 = z;
        double r1268803 = r1268801 - r1268802;
        double r1268804 = r1268803 - r1268797;
        double r1268805 = r1268804 + r1268801;
        return r1268805;
}

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-sqr-sqrt0.1

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

  4. Applied log-prod0.1

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

  5. Applied distribute-lft-in0.1

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

  6. Applied associate--l+0.1

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

  7. Applied associate--l+0.1

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

  8. Final simplification0.1

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

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))