Average Error: 15.2 → 0.9
Time: 18.2s
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 r5044042 = g;
        double r5044043 = 2.0;
        double r5044044 = a;
        double r5044045 = r5044043 * r5044044;
        double r5044046 = r5044042 / r5044045;
        double r5044047 = cbrt(r5044046);
        return r5044047;
}
↓
double f(double g, double a) {
        double r5044048 = g;
        double r5044049 = cbrt(r5044048);
        double r5044050 = 2.0;
        double r5044051 = a;
        double r5044052 = r5044050 * r5044051;
        double r5044053 = cbrt(r5044052);
        double r5044054 = r5044049 / r5044053;
        return r5044054;
}

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 15.2

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019139 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))