Average Error: 15.0 → 0.9
Time: 22.7s
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 r3715871 = g;
        double r3715872 = 2.0;
        double r3715873 = a;
        double r3715874 = r3715872 * r3715873;
        double r3715875 = r3715871 / r3715874;
        double r3715876 = cbrt(r3715875);
        return r3715876;
}
↓
double f(double g, double a) {
        double r3715877 = g;
        double r3715878 = cbrt(r3715877);
        double r3715879 = 2.0;
        double r3715880 = a;
        double r3715881 = r3715879 * r3715880;
        double r3715882 = cbrt(r3715881);
        double r3715883 = r3715878 / r3715882;
        return r3715883;
}

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 15.0

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019143 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))