Average Error: 0.0 → 0.0
Time: 999.0ms
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 r6883147 = x;
        double r6883148 = y;
        double r6883149 = 2.0;
        double r6883150 = r6883148 * r6883149;
        double r6883151 = r6883147 / r6883150;
        return r6883151;
}
↓
double f(double x, double y) {
        double r6883152 = x;
        double r6883153 = 2.0;
        double r6883154 = y;
        double r6883155 = r6883153 * r6883154;
        double r6883156 = r6883152 / r6883155;
        return r6883156;
}

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 2019192 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))