Average Error: 15.3 → 0.9
Time: 13.3s
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 r6523606 = g;
        double r6523607 = 2.0;
        double r6523608 = a;
        double r6523609 = r6523607 * r6523608;
        double r6523610 = r6523606 / r6523609;
        double r6523611 = cbrt(r6523610);
        return r6523611;
}
↓
double f(double g, double a) {
        double r6523612 = g;
        double r6523613 = cbrt(r6523612);
        double r6523614 = 2.0;
        double r6523615 = a;
        double r6523616 = r6523614 * r6523615;
        double r6523617 = cbrt(r6523616);
        double r6523618 = r6523613 / r6523617;
        return r6523618;
}

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 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 2019165 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))