Average Error: 15.7 → 0.9
Time: 15.7s
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 r4505073 = g;
        double r4505074 = 2.0;
        double r4505075 = a;
        double r4505076 = r4505074 * r4505075;
        double r4505077 = r4505073 / r4505076;
        double r4505078 = cbrt(r4505077);
        return r4505078;
}
↓
double f(double g, double a) {
        double r4505079 = g;
        double r4505080 = cbrt(r4505079);
        double r4505081 = 2.0;
        double r4505082 = a;
        double r4505083 = r4505081 * r4505082;
        double r4505084 = cbrt(r4505083);
        double r4505085 = r4505080 / r4505084;
        return r4505085;
}

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-div0.9

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

  4. Final simplification0.9

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))