Average Error: 0.1 → 0.1
Time: 20.0s
Precision: 64
\[\left(x \cdot \log y - z\right) - y\]
↓
\[\left(\left(\log \left(\sqrt{y}\right) \cdot x + \log \left(\sqrt{y}\right) \cdot x\right) - z\right) - y\]
\left(x \cdot \log y - z\right) - y
↓
\left(\left(\log \left(\sqrt{y}\right) \cdot x + \log \left(\sqrt{y}\right) \cdot x\right) - z\right) - y
double f(double x, double y, double z) {
        double r1943119 = x;
        double r1943120 = y;
        double r1943121 = log(r1943120);
        double r1943122 = r1943119 * r1943121;
        double r1943123 = z;
        double r1943124 = r1943122 - r1943123;
        double r1943125 = r1943124 - r1943120;
        return r1943125;
}
↓
double f(double x, double y, double z) {
        double r1943126 = y;
        double r1943127 = sqrt(r1943126);
        double r1943128 = log(r1943127);
        double r1943129 = x;
        double r1943130 = r1943128 * r1943129;
        double r1943131 = r1943130 + r1943130;
        double r1943132 = z;
        double r1943133 = r1943131 - r1943132;
        double r1943134 = r1943133 - r1943126;
        return r1943134;
}

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. Final simplification0.1

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

Reproduce

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