Average Error: 15.2 → 0.9
Time: 17.4s
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 r3333020 = g;
        double r3333021 = 2.0;
        double r3333022 = a;
        double r3333023 = r3333021 * r3333022;
        double r3333024 = r3333020 / r3333023;
        double r3333025 = cbrt(r3333024);
        return r3333025;
}
↓
double f(double g, double a) {
        double r3333026 = 1.0;
        double r3333027 = a;
        double r3333028 = 2.0;
        double r3333029 = r3333027 * r3333028;
        double r3333030 = cbrt(r3333029);
        double r3333031 = g;
        double r3333032 = cbrt(r3333031);
        double r3333033 = r3333030 / r3333032;
        double r3333034 = r3333026 / r3333033;
        return r3333034;
}

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 15.2

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019135 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))