Average Error: 15.3 → 0.9
Time: 17.3s
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 r5265398 = g;
        double r5265399 = 2.0;
        double r5265400 = a;
        double r5265401 = r5265399 * r5265400;
        double r5265402 = r5265398 / r5265401;
        double r5265403 = cbrt(r5265402);
        return r5265403;
}
↓
double f(double g, double a) {
        double r5265404 = g;
        double r5265405 = cbrt(r5265404);
        double r5265406 = 1.0;
        double r5265407 = 2.0;
        double r5265408 = a;
        double r5265409 = r5265407 * r5265408;
        double r5265410 = r5265406 / r5265409;
        double r5265411 = cbrt(r5265410);
        double r5265412 = r5265405 * r5265411;
        return r5265412;
}

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 div-inv15.3

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

  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 2019172 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))