Average Error: 15.2 → 0.8
Time: 10.8s
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 r1756010 = g;
        double r1756011 = 2.0;
        double r1756012 = a;
        double r1756013 = r1756011 * r1756012;
        double r1756014 = r1756010 / r1756013;
        double r1756015 = cbrt(r1756014);
        return r1756015;
}
↓
double f(double g, double a) {
        double r1756016 = g;
        double r1756017 = cbrt(r1756016);
        double r1756018 = 2.0;
        double r1756019 = a;
        double r1756020 = r1756018 * r1756019;
        double r1756021 = cbrt(r1756020);
        double r1756022 = r1756017 / r1756021;
        return r1756022;
}

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 2019128 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))