Average Error: 16.5 → 0.9
Time: 10.1s
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 r106997 = g;
        double r106998 = 2.0;
        double r106999 = a;
        double r107000 = r106998 * r106999;
        double r107001 = r106997 / r107000;
        double r107002 = cbrt(r107001);
        return r107002;
}
↓
double f(double g, double a) {
        double r107003 = g;
        double r107004 = cbrt(r107003);
        double r107005 = 2.0;
        double r107006 = a;
        double r107007 = r107005 * r107006;
        double r107008 = cbrt(r107007);
        double r107009 = r107004 / r107008;
        return r107009;
}

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 16.5

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019208 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))