Average Error: 15.7 → 0.9
Time: 45.9s
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 r3747206 = g;
        double r3747207 = 2.0;
        double r3747208 = a;
        double r3747209 = r3747207 * r3747208;
        double r3747210 = r3747206 / r3747209;
        double r3747211 = cbrt(r3747210);
        return r3747211;
}
↓
double f(double g, double a) {
        double r3747212 = g;
        double r3747213 = cbrt(r3747212);
        double r3747214 = 2.0;
        double r3747215 = a;
        double r3747216 = r3747214 * r3747215;
        double r3747217 = cbrt(r3747216);
        double r3747218 = r3747213 / r3747217;
        return r3747218;
}

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 15.7

    \[\sqrt[3]{\frac{g}{2 \cdot a}}\]
  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 2019146 +o rules:numerics
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))