Average Error: 16.0 → 0.9
Time: 23.4s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}
double f(double g, double a) {
        double r9164859 = g;
        double r9164860 = 2.0;
        double r9164861 = a;
        double r9164862 = r9164860 * r9164861;
        double r9164863 = r9164859 / r9164862;
        double r9164864 = cbrt(r9164863);
        return r9164864;
}
↓
double f(double g, double a) {
        double r9164865 = g;
        double r9164866 = cbrt(r9164865);
        double r9164867 = 1.0;
        double r9164868 = 2.0;
        double r9164869 = a;
        double r9164870 = r9164868 * r9164869;
        double r9164871 = r9164867 / r9164870;
        double r9164872 = cbrt(r9164871);
        double r9164873 = r9164866 * r9164872;
        return r9164873;
}

Error

Bits error versus g

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 16.0

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  2. Using strategy rm

  3. Applied div-inv16.0

    \[\leadsto \sqrt[3]{\color{blue}{g \cdot \frac{1}{2 \cdot a}}}\]

  4. Applied cbrt-prod0.9

    \[\leadsto \color{blue}{\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}}\]

  5. Final simplification0.9

    \[\leadsto \sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}\]

Reproduce

herbie shell --seed 2019173 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))