Average Error: 0.0 → 0.0
Time: 901.0ms
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 r7719749 = x;
        double r7719750 = y;
        double r7719751 = 2.0;
        double r7719752 = r7719750 * r7719751;
        double r7719753 = r7719749 / r7719752;
        return r7719753;
}
↓
double f(double x, double y) {
        double r7719754 = x;
        double r7719755 = 2.0;
        double r7719756 = y;
        double r7719757 = r7719755 * r7719756;
        double r7719758 = r7719754 / r7719757;
        return r7719758;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))