Average Error: 15.4 → 0.9
Time: 14.1s
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 r102413 = g;
        double r102414 = 2.0;
        double r102415 = a;
        double r102416 = r102414 * r102415;
        double r102417 = r102413 / r102416;
        double r102418 = cbrt(r102417);
        return r102418;
}
↓
double f(double g, double a) {
        double r102419 = g;
        double r102420 = cbrt(r102419);
        double r102421 = 2.0;
        double r102422 = a;
        double r102423 = r102421 * r102422;
        double r102424 = cbrt(r102423);
        double r102425 = r102420 / r102424;
        return r102425;
}

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 15.4

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2020045 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))