Average Error: 14.8 → 0.8
Time: 12.5s
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 r2441410 = g;
        double r2441411 = 2.0;
        double r2441412 = a;
        double r2441413 = r2441411 * r2441412;
        double r2441414 = r2441410 / r2441413;
        double r2441415 = cbrt(r2441414);
        return r2441415;
}
↓
double f(double g, double a) {
        double r2441416 = g;
        double r2441417 = cbrt(r2441416);
        double r2441418 = 2.0;
        double r2441419 = a;
        double r2441420 = r2441418 * r2441419;
        double r2441421 = cbrt(r2441420);
        double r2441422 = r2441417 / r2441421;
        return r2441422;
}

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 14.8

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019155 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))