Average Error: 15.4 → 0.8
Time: 11.2s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\frac{\sqrt[3]{g}}{\sqrt[3]{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\frac{\sqrt[3]{g}}{\sqrt[3]{2 \cdot a}}
double f(double g, double a) {
        double r2985837 = g;
        double r2985838 = 2.0;
        double r2985839 = a;
        double r2985840 = r2985838 * r2985839;
        double r2985841 = r2985837 / r2985840;
        double r2985842 = cbrt(r2985841);
        return r2985842;
}
↓
double f(double g, double a) {
        double r2985843 = g;
        double r2985844 = cbrt(r2985843);
        double r2985845 = 2.0;
        double r2985846 = a;
        double r2985847 = r2985845 * r2985846;
        double r2985848 = cbrt(r2985847);
        double r2985849 = r2985844 / r2985848;
        return r2985849;
}

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 15.4

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

  3. Applied cbrt-div0.8

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

  4. Final simplification0.8

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

Reproduce

herbie shell --seed 2019156 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))