Average Error: 15.4 → 0.8
Time: 10.7s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\frac{\sqrt[3]{g}}{\sqrt[3]{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\frac{\sqrt[3]{g}}{\sqrt[3]{2 \cdot a}}
double f(double g, double a) {
        double r2872284 = g;
        double r2872285 = 2.0;
        double r2872286 = a;
        double r2872287 = r2872285 * r2872286;
        double r2872288 = r2872284 / r2872287;
        double r2872289 = cbrt(r2872288);
        return r2872289;
}
↓
double f(double g, double a) {
        double r2872290 = g;
        double r2872291 = cbrt(r2872290);
        double r2872292 = 2.0;
        double r2872293 = a;
        double r2872294 = r2872292 * r2872293;
        double r2872295 = cbrt(r2872294);
        double r2872296 = r2872291 / r2872295;
        return r2872296;
}

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-div0.8

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

  4. Final simplification0.8

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

Reproduce

herbie shell --seed 2019156 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))