Average Error: 15.6 → 0.9
Time: 42.5s
Precision: 64
\[\sqrt[3]{\frac{g}{2.0 \cdot a}}\]
↓
\[\frac{\sqrt[3]{g}}{\sqrt[3]{2.0 \cdot a}}\]
\sqrt[3]{\frac{g}{2.0 \cdot a}}
↓
\frac{\sqrt[3]{g}}{\sqrt[3]{2.0 \cdot a}}
double f(double g, double a) {
        double r5587615 = g;
        double r5587616 = 2.0;
        double r5587617 = a;
        double r5587618 = r5587616 * r5587617;
        double r5587619 = r5587615 / r5587618;
        double r5587620 = cbrt(r5587619);
        return r5587620;
}
↓
double f(double g, double a) {
        double r5587621 = g;
        double r5587622 = cbrt(r5587621);
        double r5587623 = 2.0;
        double r5587624 = a;
        double r5587625 = r5587623 * r5587624;
        double r5587626 = cbrt(r5587625);
        double r5587627 = r5587622 / r5587626;
        return r5587627;
}

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 15.6

    \[\sqrt[3]{\frac{g}{2.0 \cdot a}}\]
  2. Using strategy rm

  3. Applied cbrt-div0.9

    \[\leadsto \color{blue}{\frac{\sqrt[3]{g}}{\sqrt[3]{2.0 \cdot a}}}\]

  4. Final simplification0.9

    \[\leadsto \frac{\sqrt[3]{g}}{\sqrt[3]{2.0 \cdot a}}\]

Reproduce

herbie shell --seed 2019165 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))