Average Error: 16.1 → 0.9
Time: 18.9s
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 r6652087 = g;
        double r6652088 = 2.0;
        double r6652089 = a;
        double r6652090 = r6652088 * r6652089;
        double r6652091 = r6652087 / r6652090;
        double r6652092 = cbrt(r6652091);
        return r6652092;
}
↓
double f(double g, double a) {
        double r6652093 = g;
        double r6652094 = cbrt(r6652093);
        double r6652095 = 2.0;
        double r6652096 = a;
        double r6652097 = r6652095 * r6652096;
        double r6652098 = cbrt(r6652097);
        double r6652099 = r6652094 / r6652098;
        return r6652099;
}

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 16.1

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

  3. Applied cbrt-div0.9

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

  4. Final simplification0.9

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

Reproduce

herbie shell --seed 2019170 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))