Average Error: 15.8 → 0.9
Time: 18.7s
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 r126378 = g;
        double r126379 = 2.0;
        double r126380 = a;
        double r126381 = r126379 * r126380;
        double r126382 = r126378 / r126381;
        double r126383 = cbrt(r126382);
        return r126383;
}
↓
double f(double g, double a) {
        double r126384 = 1.0;
        double r126385 = 2.0;
        double r126386 = a;
        double r126387 = r126385 * r126386;
        double r126388 = cbrt(r126387);
        double r126389 = g;
        double r126390 = cbrt(r126389);
        double r126391 = r126388 / r126390;
        double r126392 = r126384 / r126391;
        return r126392;
}

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. 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 2019323 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))