Average Error: 15.2 → 0.8
Time: 19.5s
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 r4167073 = g;
        double r4167074 = 2.0;
        double r4167075 = a;
        double r4167076 = r4167074 * r4167075;
        double r4167077 = r4167073 / r4167076;
        double r4167078 = cbrt(r4167077);
        return r4167078;
}
↓
double f(double g, double a) {
        double r4167079 = g;
        double r4167080 = cbrt(r4167079);
        double r4167081 = 2.0;
        double r4167082 = a;
        double r4167083 = r4167081 * r4167082;
        double r4167084 = cbrt(r4167083);
        double r4167085 = r4167080 / r4167084;
        return r4167085;
}

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-div0.8

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

  4. Final simplification0.8

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

Reproduce

herbie shell --seed 2019134 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))