Average Error: 15.3 → 0.9
Time: 18.7s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\sqrt[3]{g} \cdot \sqrt[3]{\frac{1}{2 \cdot a}}
double f(double g, double a) {
        double r5039754 = g;
        double r5039755 = 2.0;
        double r5039756 = a;
        double r5039757 = r5039755 * r5039756;
        double r5039758 = r5039754 / r5039757;
        double r5039759 = cbrt(r5039758);
        return r5039759;
}
↓
double f(double g, double a) {
        double r5039760 = g;
        double r5039761 = cbrt(r5039760);
        double r5039762 = 1.0;
        double r5039763 = 2.0;
        double r5039764 = a;
        double r5039765 = r5039763 * r5039764;
        double r5039766 = r5039762 / r5039765;
        double r5039767 = cbrt(r5039766);
        double r5039768 = r5039761 * r5039767;
        return r5039768;
}

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 15.3

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

  3. Applied div-inv15.3

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

  4. Applied cbrt-prod0.9

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

  5. Final simplification0.9

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

Reproduce

herbie shell --seed 2019172 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))