Average Error: 15.4 → 0.9
Time: 16.1s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\frac{1}{\frac{\sqrt[3]{a \cdot 2}}{\sqrt[3]{g}}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\frac{1}{\frac{\sqrt[3]{a \cdot 2}}{\sqrt[3]{g}}}
double f(double g, double a) {
        double r6303317 = g;
        double r6303318 = 2.0;
        double r6303319 = a;
        double r6303320 = r6303318 * r6303319;
        double r6303321 = r6303317 / r6303320;
        double r6303322 = cbrt(r6303321);
        return r6303322;
}
↓
double f(double g, double a) {
        double r6303323 = 1.0;
        double r6303324 = a;
        double r6303325 = 2.0;
        double r6303326 = r6303324 * r6303325;
        double r6303327 = cbrt(r6303326);
        double r6303328 = g;
        double r6303329 = cbrt(r6303328);
        double r6303330 = r6303327 / r6303329;
        double r6303331 = r6303323 / r6303330;
        return r6303331;
}

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 15.4

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

  3. Applied cbrt-div0.9

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

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

Reproduce

herbie shell --seed 2019192 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))