Average Error: 15.3 → 0.9
Time: 15.4s
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 r4152867 = g;
        double r4152868 = 2.0;
        double r4152869 = a;
        double r4152870 = r4152868 * r4152869;
        double r4152871 = r4152867 / r4152870;
        double r4152872 = cbrt(r4152871);
        return r4152872;
}
↓
double f(double g, double a) {
        double r4152873 = g;
        double r4152874 = cbrt(r4152873);
        double r4152875 = 2.0;
        double r4152876 = a;
        double r4152877 = r4152875 * r4152876;
        double r4152878 = cbrt(r4152877);
        double r4152879 = r4152874 / r4152878;
        return r4152879;
}

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 15.3

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

  3. Applied cbrt-div0.9

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

  4. Final simplification0.9

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

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))