Average Error: 15.7 → 0.9
Time: 12.5s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}
double f(double g, double a) {
        double r116294 = g;
        double r116295 = 2.0;
        double r116296 = a;
        double r116297 = r116295 * r116296;
        double r116298 = r116294 / r116297;
        double r116299 = cbrt(r116298);
        return r116299;
}
↓
double f(double g, double a) {
        double r116300 = g;
        double r116301 = cbrt(r116300);
        double r116302 = 1.0;
        double r116303 = 2.0;
        double r116304 = a;
        double r116305 = r116303 * r116304;
        double r116306 = r116302 / r116305;
        double r116307 = cbrt(r116306);
        double r116308 = r116301 * r116307;
        return r116308;
}

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 15.7

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

  3. Applied div-inv15.7

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

  4. Applied cbrt-prod0.9

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

  5. Final simplification0.9

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

Reproduce

herbie shell --seed 2019298 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))