Average Error: 15.9 → 0.9
Time: 12.7s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\frac{1}{\frac{\sqrt[3]{2 \cdot a}}{\sqrt[3]{g}}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\frac{1}{\frac{\sqrt[3]{2 \cdot a}}{\sqrt[3]{g}}}
double f(double g, double a) {
        double r116413 = g;
        double r116414 = 2.0;
        double r116415 = a;
        double r116416 = r116414 * r116415;
        double r116417 = r116413 / r116416;
        double r116418 = cbrt(r116417);
        return r116418;
}
↓
double f(double g, double a) {
        double r116419 = 1.0;
        double r116420 = 2.0;
        double r116421 = a;
        double r116422 = r116420 * r116421;
        double r116423 = cbrt(r116422);
        double r116424 = g;
        double r116425 = cbrt(r116424);
        double r116426 = r116423 / r116425;
        double r116427 = r116419 / r116426;
        return r116427;
}

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-div0.8

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

  5. Applied clear-num0.9

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

  6. Final simplification0.9

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

Reproduce

herbie shell --seed 2020046 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))