Average Error: 15.3 → 0.8
Time: 17.9s
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 r4449326 = g;
        double r4449327 = 2.0;
        double r4449328 = a;
        double r4449329 = r4449327 * r4449328;
        double r4449330 = r4449326 / r4449329;
        double r4449331 = cbrt(r4449330);
        return r4449331;
}
↓
double f(double g, double a) {
        double r4449332 = g;
        double r4449333 = cbrt(r4449332);
        double r4449334 = 2.0;
        double r4449335 = a;
        double r4449336 = r4449334 * r4449335;
        double r4449337 = cbrt(r4449336);
        double r4449338 = r4449333 / r4449337;
        return r4449338;
}

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 15.3

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019172 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))