Average Error: 15.1 → 0.9
Time: 14.2s
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 r2985110 = g;
        double r2985111 = 2.0;
        double r2985112 = a;
        double r2985113 = r2985111 * r2985112;
        double r2985114 = r2985110 / r2985113;
        double r2985115 = cbrt(r2985114);
        return r2985115;
}
↓
double f(double g, double a) {
        double r2985116 = g;
        double r2985117 = cbrt(r2985116);
        double r2985118 = 2.0;
        double r2985119 = a;
        double r2985120 = r2985118 * r2985119;
        double r2985121 = cbrt(r2985120);
        double r2985122 = r2985117 / r2985121;
        return r2985122;
}

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 15.1

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019152 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))