Average Error: 15.7 → 0.9
Time: 15.8s
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 r4395642 = g;
        double r4395643 = 2.0;
        double r4395644 = a;
        double r4395645 = r4395643 * r4395644;
        double r4395646 = r4395642 / r4395645;
        double r4395647 = cbrt(r4395646);
        return r4395647;
}
↓
double f(double g, double a) {
        double r4395648 = g;
        double r4395649 = cbrt(r4395648);
        double r4395650 = 2.0;
        double r4395651 = a;
        double r4395652 = r4395650 * r4395651;
        double r4395653 = cbrt(r4395652);
        double r4395654 = r4395649 / r4395653;
        return r4395654;
}

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 2019174 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))