Average Error: 15.1 → 0.9
Time: 20.2s
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 r6238123 = g;
        double r6238124 = 2.0;
        double r6238125 = a;
        double r6238126 = r6238124 * r6238125;
        double r6238127 = r6238123 / r6238126;
        double r6238128 = cbrt(r6238127);
        return r6238128;
}
↓
double f(double g, double a) {
        double r6238129 = g;
        double r6238130 = cbrt(r6238129);
        double r6238131 = 2.0;
        double r6238132 = a;
        double r6238133 = r6238131 * r6238132;
        double r6238134 = cbrt(r6238133);
        double r6238135 = r6238130 / r6238134;
        return r6238135;
}

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))))