Average Error: 15.8 → 0.8
Time: 49.1s
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 r96635 = g;
        double r96636 = 2.0;
        double r96637 = a;
        double r96638 = r96636 * r96637;
        double r96639 = r96635 / r96638;
        double r96640 = cbrt(r96639);
        return r96640;
}
↓
double f(double g, double a) {
        double r96641 = g;
        double r96642 = cbrt(r96641);
        double r96643 = 2.0;
        double r96644 = a;
        double r96645 = r96643 * r96644;
        double r96646 = cbrt(r96645);
        double r96647 = r96642 / r96646;
        return r96647;
}

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 15.8

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

  3. Applied cbrt-div0.8

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

  4. Final simplification0.8

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

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))