Average Error: 15.4 → 0.8
Time: 15.9s
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 r121064 = g;
        double r121065 = 2.0;
        double r121066 = a;
        double r121067 = r121065 * r121066;
        double r121068 = r121064 / r121067;
        double r121069 = cbrt(r121068);
        return r121069;
}
↓
double f(double g, double a) {
        double r121070 = g;
        double r121071 = cbrt(r121070);
        double r121072 = 2.0;
        double r121073 = a;
        double r121074 = r121072 * r121073;
        double r121075 = cbrt(r121074);
        double r121076 = r121071 / r121075;
        return r121076;
}

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 15.4

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019195 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))