Average Error: 15.4 → 0.8
Time: 15.8s
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 r117705 = g;
        double r117706 = 2.0;
        double r117707 = a;
        double r117708 = r117706 * r117707;
        double r117709 = r117705 / r117708;
        double r117710 = cbrt(r117709);
        return r117710;
}
↓
double f(double g, double a) {
        double r117711 = g;
        double r117712 = cbrt(r117711);
        double r117713 = 2.0;
        double r117714 = a;
        double r117715 = r117713 * r117714;
        double r117716 = cbrt(r117715);
        double r117717 = r117712 / r117716;
        return r117717;
}

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 2019195 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))