Average Error: 15.7 → 0.9
Time: 17.5s
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 r5232049 = g;
        double r5232050 = 2.0;
        double r5232051 = a;
        double r5232052 = r5232050 * r5232051;
        double r5232053 = r5232049 / r5232052;
        double r5232054 = cbrt(r5232053);
        return r5232054;
}
↓
double f(double g, double a) {
        double r5232055 = g;
        double r5232056 = cbrt(r5232055);
        double r5232057 = 2.0;
        double r5232058 = a;
        double r5232059 = r5232057 * r5232058;
        double r5232060 = cbrt(r5232059);
        double r5232061 = r5232056 / r5232060;
        return r5232061;
}

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 15.7

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019171 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))