Average Error: 0.0 → 0.0
Time: 8.6s
Precision: 64
\[\frac{x}{y \cdot 2}\]
\[\frac{\frac{x}{y}}{2}\]
\frac{x}{y \cdot 2}
\frac{\frac{x}{y}}{2}
double f(double x, double y) {
        double r121764 = x;
        double r121765 = y;
        double r121766 = 2.0;
        double r121767 = r121765 * r121766;
        double r121768 = r121764 / r121767;
        return r121768;
}

double f(double x, double y) {
        double r121769 = x;
        double r121770 = y;
        double r121771 = r121769 / r121770;
        double r121772 = 2.0;
        double r121773 = r121771 / r121772;
        return r121773;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\frac{x}{y \cdot 2}\]
  2. Using strategy rm
  3. Applied associate-/r*0.0

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{2}}\]
  4. Final simplification0.0

    \[\leadsto \frac{\frac{x}{y}}{2}\]

Reproduce

herbie shell --seed 2019304 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  :precision binary64
  (/ x (* y 2)))