Average Error: 15.7 → 0.8
Time: 11.3s
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 r88104 = g;
        double r88105 = 2.0;
        double r88106 = a;
        double r88107 = r88105 * r88106;
        double r88108 = r88104 / r88107;
        double r88109 = cbrt(r88108);
        return r88109;
}
↓
double f(double g, double a) {
        double r88110 = g;
        double r88111 = cbrt(r88110);
        double r88112 = 2.0;
        double r88113 = a;
        double r88114 = r88112 * r88113;
        double r88115 = cbrt(r88114);
        double r88116 = r88111 / r88115;
        return r88116;
}

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-div0.8

    \[\leadsto \color{blue}{\frac{\sqrt[3]{g}}{\sqrt[3]{2 \cdot a}}}\]

  4. Final simplification0.8

    \[\leadsto \frac{\sqrt[3]{g}}{\sqrt[3]{2 \cdot a}}\]

Reproduce

herbie shell --seed 2019297 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))