Average Error: 14.9 → 0.9
Time: 27.0s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}
double f(double g, double a) {
        double r18059527 = g;
        double r18059528 = 2.0;
        double r18059529 = a;
        double r18059530 = r18059528 * r18059529;
        double r18059531 = r18059527 / r18059530;
        double r18059532 = cbrt(r18059531);
        return r18059532;
}
↓
double f(double g, double a) {
        double r18059533 = g;
        double r18059534 = cbrt(r18059533);
        double r18059535 = 1.0;
        double r18059536 = 2.0;
        double r18059537 = a;
        double r18059538 = r18059536 * r18059537;
        double r18059539 = r18059535 / r18059538;
        double r18059540 = cbrt(r18059539);
        double r18059541 = r18059534 * r18059540;
        return r18059541;
}

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 14.9

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  2. Using strategy rm

  3. Applied div-inv14.9

    \[\leadsto \sqrt[3]{\color{blue}{g \cdot \frac{1}{2 \cdot a}}}\]

  4. Applied cbrt-prod0.9

    \[\leadsto \color{blue}{\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}}\]

  5. Final simplification0.9

    \[\leadsto \sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}\]

Reproduce

herbie shell --seed 2019119 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))