Average Error: 15.6 → 0.8
Time: 24.5s
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 r4385214 = g;
        double r4385215 = 2.0;
        double r4385216 = a;
        double r4385217 = r4385215 * r4385216;
        double r4385218 = r4385214 / r4385217;
        double r4385219 = cbrt(r4385218);
        return r4385219;
}
↓
double f(double g, double a) {
        double r4385220 = g;
        double r4385221 = cbrt(r4385220);
        double r4385222 = 2.0;
        double r4385223 = a;
        double r4385224 = r4385222 * r4385223;
        double r4385225 = cbrt(r4385224);
        double r4385226 = r4385221 / r4385225;
        return r4385226;
}

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 15.6

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019125 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))