Average Error: 15.1 → 0.9
Time: 17.1s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{2 \cdot a}}
double f(double g, double a) {
        double r5774413 = g;
        double r5774414 = 2.0;
        double r5774415 = a;
        double r5774416 = r5774414 * r5774415;
        double r5774417 = r5774413 / r5774416;
        double r5774418 = cbrt(r5774417);
        return r5774418;
}
↓
double f(double g, double a) {
        double r5774419 = g;
        double r5774420 = cbrt(r5774419);
        double r5774421 = 1.0;
        double r5774422 = 2.0;
        double r5774423 = a;
        double r5774424 = r5774422 * r5774423;
        double r5774425 = cbrt(r5774424);
        double r5774426 = r5774421 / r5774425;
        double r5774427 = r5774420 * r5774426;
        return r5774427;
}

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 15.1

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

  3. Applied cbrt-div0.9

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

  5. Applied div-inv0.9

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

  6. Final simplification0.9

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

Reproduce

herbie shell --seed 2019163 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))