Average Error: 0.0 → 0.0
Time: 965.0ms
Precision: 64
\[\frac{x}{y \cdot 2}\]
↓
\[\frac{x}{2 \cdot y}\]
\frac{x}{y \cdot 2}
↓
\frac{x}{2 \cdot y}
double f(double x, double y) {
        double r122881 = x;
        double r122882 = y;
        double r122883 = 2.0;
        double r122884 = r122882 * r122883;
        double r122885 = r122881 / r122884;
        return r122885;
}
↓
double f(double x, double y) {
        double r122886 = x;
        double r122887 = 2.0;
        double r122888 = y;
        double r122889 = r122887 * r122888;
        double r122890 = r122886 / r122889;
        return r122890;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))