Average Error: 15.1 → 0.9
Time: 13.7s
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 r2469446 = g;
        double r2469447 = 2.0;
        double r2469448 = a;
        double r2469449 = r2469447 * r2469448;
        double r2469450 = r2469446 / r2469449;
        double r2469451 = cbrt(r2469450);
        return r2469451;
}
↓
double f(double g, double a) {
        double r2469452 = g;
        double r2469453 = cbrt(r2469452);
        double r2469454 = 2.0;
        double r2469455 = a;
        double r2469456 = r2469454 * r2469455;
        double r2469457 = cbrt(r2469456);
        double r2469458 = r2469453 / r2469457;
        return r2469458;
}

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 15.1

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019152 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))