Average Error: 15.2 → 0.8
Time: 18.5s
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 r4909354 = g;
        double r4909355 = 2.0;
        double r4909356 = a;
        double r4909357 = r4909355 * r4909356;
        double r4909358 = r4909354 / r4909357;
        double r4909359 = cbrt(r4909358);
        return r4909359;
}
↓
double f(double g, double a) {
        double r4909360 = g;
        double r4909361 = cbrt(r4909360);
        double r4909362 = 2.0;
        double r4909363 = a;
        double r4909364 = r4909362 * r4909363;
        double r4909365 = cbrt(r4909364);
        double r4909366 = r4909361 / r4909365;
        return r4909366;
}

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 2019134 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))