Average Error: 15.9 → 0.9
Time: 11.6s
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 r113646 = g;
        double r113647 = 2.0;
        double r113648 = a;
        double r113649 = r113647 * r113648;
        double r113650 = r113646 / r113649;
        double r113651 = cbrt(r113650);
        return r113651;
}
↓
double f(double g, double a) {
        double r113652 = g;
        double r113653 = cbrt(r113652);
        double r113654 = 2.0;
        double r113655 = a;
        double r113656 = r113654 * r113655;
        double r113657 = cbrt(r113656);
        double r113658 = r113653 / r113657;
        return r113658;
}

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 15.9

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019305 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))