Average Error: 15.2 → 0.9
Time: 14.5s
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 r4453885 = g;
        double r4453886 = 2.0;
        double r4453887 = a;
        double r4453888 = r4453886 * r4453887;
        double r4453889 = r4453885 / r4453888;
        double r4453890 = cbrt(r4453889);
        return r4453890;
}
↓
double f(double g, double a) {
        double r4453891 = g;
        double r4453892 = cbrt(r4453891);
        double r4453893 = 2.0;
        double r4453894 = a;
        double r4453895 = r4453893 * r4453894;
        double r4453896 = cbrt(r4453895);
        double r4453897 = r4453892 / r4453896;
        return r4453897;
}

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 15.2

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019129 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))