Average Error: 15.6 → 0.8
Time: 22.8s
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 r23862494 = g;
        double r23862495 = 2.0;
        double r23862496 = a;
        double r23862497 = r23862495 * r23862496;
        double r23862498 = r23862494 / r23862497;
        double r23862499 = cbrt(r23862498);
        return r23862499;
}
↓
double f(double g, double a) {
        double r23862500 = g;
        double r23862501 = cbrt(r23862500);
        double r23862502 = 2.0;
        double r23862503 = a;
        double r23862504 = r23862502 * r23862503;
        double r23862505 = cbrt(r23862504);
        double r23862506 = r23862501 / r23862505;
        return r23862506;
}

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 15.6

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019125 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))