Average Error: 15.6 → 0.9
Time: 13.4s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\frac{1}{\frac{\sqrt[3]{2 \cdot a}}{\sqrt[3]{g}}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\frac{1}{\frac{\sqrt[3]{2 \cdot a}}{\sqrt[3]{g}}}
double f(double g, double a) {
        double r2233963 = g;
        double r2233964 = 2.0;
        double r2233965 = a;
        double r2233966 = r2233964 * r2233965;
        double r2233967 = r2233963 / r2233966;
        double r2233968 = cbrt(r2233967);
        return r2233968;
}
↓
double f(double g, double a) {
        double r2233969 = 1.0;
        double r2233970 = 2.0;
        double r2233971 = a;
        double r2233972 = r2233970 * r2233971;
        double r2233973 = cbrt(r2233972);
        double r2233974 = g;
        double r2233975 = cbrt(r2233974);
        double r2233976 = r2233973 / r2233975;
        double r2233977 = r2233969 / r2233976;
        return r2233977;
}

Error

Bits error versus g

Bits error versus a

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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 add-sqr-sqrt0.9

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

  8. Applied associate-/l*0.9

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

  9. Simplified0.9

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

  10. Final simplification0.9

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

Reproduce

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