Average Error: 14.8 → 0.8
Time: 12.7s
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 r1989656 = g;
        double r1989657 = 2.0;
        double r1989658 = a;
        double r1989659 = r1989657 * r1989658;
        double r1989660 = r1989656 / r1989659;
        double r1989661 = cbrt(r1989660);
        return r1989661;
}
↓
double f(double g, double a) {
        double r1989662 = g;
        double r1989663 = cbrt(r1989662);
        double r1989664 = 2.0;
        double r1989665 = a;
        double r1989666 = r1989664 * r1989665;
        double r1989667 = cbrt(r1989666);
        double r1989668 = r1989663 / r1989667;
        return r1989668;
}

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 14.8

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019155 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))