Average Error: 0.0 → 0.0
Time: 976.0ms
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 r12224889 = x;
        double r12224890 = y;
        double r12224891 = 2.0;
        double r12224892 = r12224890 * r12224891;
        double r12224893 = r12224889 / r12224892;
        return r12224893;
}
↓
double f(double x, double y) {
        double r12224894 = x;
        double r12224895 = 2.0;
        double r12224896 = y;
        double r12224897 = r12224895 * r12224896;
        double r12224898 = r12224894 / r12224897;
        return r12224898;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))