Average Error: 15.6 → 0.9
Time: 14.4s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\frac{\frac{1}{\sqrt[3]{a \cdot 2}}}{\frac{1}{\sqrt[3]{g}}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\frac{\frac{1}{\sqrt[3]{a \cdot 2}}}{\frac{1}{\sqrt[3]{g}}}
double f(double g, double a) {
        double r2553564 = g;
        double r2553565 = 2.0;
        double r2553566 = a;
        double r2553567 = r2553565 * r2553566;
        double r2553568 = r2553564 / r2553567;
        double r2553569 = cbrt(r2553568);
        return r2553569;
}
↓
double f(double g, double a) {
        double r2553570 = 1.0;
        double r2553571 = a;
        double r2553572 = 2.0;
        double r2553573 = r2553571 * r2553572;
        double r2553574 = cbrt(r2553573);
        double r2553575 = r2553570 / r2553574;
        double r2553576 = g;
        double r2553577 = cbrt(r2553576);
        double r2553578 = r2553570 / r2553577;
        double r2553579 = r2553575 / r2553578;
        return r2553579;
}

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 15.6

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

  3. Applied cbrt-div0.9

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

  5. Applied clear-num0.9

    \[\leadsto \color{blue}{\frac{1}{\frac{\sqrt[3]{2 \cdot a}}{\sqrt[3]{g}}}}\]
  6. Using strategy rm

  7. Applied div-inv0.9

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

  8. Applied associate-/r*0.9

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

  9. Final simplification0.9

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

Reproduce

herbie shell --seed 2019153 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2 a))))