Average Error: 15.4 → 0.9
Time: 15.3s
Precision: 64
\[\sqrt[3]{\frac{g}{2 \cdot a}}\]
↓
\[\sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{a \cdot 2}}\]
\sqrt[3]{\frac{g}{2 \cdot a}}
↓
\sqrt[3]{g} \cdot \frac{1}{\sqrt[3]{a \cdot 2}}
double f(double g, double a) {
        double r129252 = g;
        double r129253 = 2.0;
        double r129254 = a;
        double r129255 = r129253 * r129254;
        double r129256 = r129252 / r129255;
        double r129257 = cbrt(r129256);
        return r129257;
}
↓
double f(double g, double a) {
        double r129258 = g;
        double r129259 = cbrt(r129258);
        double r129260 = 1.0;
        double r129261 = a;
        double r129262 = 2.0;
        double r129263 = r129261 * r129262;
        double r129264 = cbrt(r129263);
        double r129265 = r129260 / r129264;
        double r129266 = r129259 * r129265;
        return r129266;
}

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 15.4

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

  2. Simplified15.4

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

  4. Applied cbrt-div0.8

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

  5. Simplified0.8

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

  7. Applied div-inv0.9

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

  8. Simplified0.9

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

  9. Final simplification0.9

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

Reproduce

herbie shell --seed 2019195 
(FPCore (g a)
  :name "2-ancestry mixing, zero discriminant"
  (cbrt (/ g (* 2.0 a))))