Average Error: 15.7 → 0.9
Time: 14.9s
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 r7559530 = g;
        double r7559531 = 2.0;
        double r7559532 = a;
        double r7559533 = r7559531 * r7559532;
        double r7559534 = r7559530 / r7559533;
        double r7559535 = cbrt(r7559534);
        return r7559535;
}
↓
double f(double g, double a) {
        double r7559536 = g;
        double r7559537 = cbrt(r7559536);
        double r7559538 = 2.0;
        double r7559539 = a;
        double r7559540 = r7559538 * r7559539;
        double r7559541 = cbrt(r7559540);
        double r7559542 = r7559537 / r7559541;
        return r7559542;
}

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))))