Average Error: 15.8 → 0.8
Time: 52.9s
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 r62474 = g;
        double r62475 = 2.0;
        double r62476 = a;
        double r62477 = r62475 * r62476;
        double r62478 = r62474 / r62477;
        double r62479 = cbrt(r62478);
        return r62479;
}
↓
double f(double g, double a) {
        double r62480 = g;
        double r62481 = cbrt(r62480);
        double r62482 = 2.0;
        double r62483 = a;
        double r62484 = r62482 * r62483;
        double r62485 = cbrt(r62484);
        double r62486 = r62481 / r62485;
        return r62486;
}

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 15.8

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

  3. Applied cbrt-div0.8

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

  4. Final simplification0.8

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

Reproduce

herbie shell --seed 2019323 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  :precision binary64
  (cbrt (/ g (* 2 a))))