Average Error: 15.7 → 0.9
Time: 17.7s
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 r4765736 = g;
        double r4765737 = 2.0;
        double r4765738 = a;
        double r4765739 = r4765737 * r4765738;
        double r4765740 = r4765736 / r4765739;
        double r4765741 = cbrt(r4765740);
        return r4765741;
}
↓
double f(double g, double a) {
        double r4765742 = g;
        double r4765743 = cbrt(r4765742);
        double r4765744 = 2.0;
        double r4765745 = a;
        double r4765746 = r4765744 * r4765745;
        double r4765747 = cbrt(r4765746);
        double r4765748 = r4765743 / r4765747;
        return r4765748;
}

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 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))