Average Error: 15.7 → 0.9
Time: 16.6s
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 r8468459 = g;
        double r8468460 = 2.0;
        double r8468461 = a;
        double r8468462 = r8468460 * r8468461;
        double r8468463 = r8468459 / r8468462;
        double r8468464 = cbrt(r8468463);
        return r8468464;
}
↓
double f(double g, double a) {
        double r8468465 = g;
        double r8468466 = cbrt(r8468465);
        double r8468467 = 2.0;
        double r8468468 = a;
        double r8468469 = r8468467 * r8468468;
        double r8468470 = cbrt(r8468469);
        double r8468471 = r8468466 / r8468470;
        return r8468471;
}

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 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))