Average Error: 15.1 → 0.9
Time: 17.8s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{2 \cdot a}}
double f(double g, double a) {
        double r6121387 = g;
        double r6121388 = 2.0;
        double r6121389 = a;
        double r6121390 = r6121388 * r6121389;
        double r6121391 = r6121387 / r6121390;
        double r6121392 = cbrt(r6121391);
        return r6121392;
}
↓
double f(double g, double a) {
        double r6121393 = g;
        double r6121394 = cbrt(r6121393);
        double r6121395 = 1.0;
        double r6121396 = 2.0;
        double r6121397 = a;
        double r6121398 = r6121396 * r6121397;
        double r6121399 = cbrt(r6121398);
        double r6121400 = r6121395 / r6121399;
        double r6121401 = r6121394 * r6121400;
        return r6121401;
}

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 15.1

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 div-inv0.9

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

  6. Final simplification0.9

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

Reproduce

herbie shell --seed 2019163 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))