Average Error: 0.0 → 0.0
Time: 366.0ms
Precision: 64
\[\frac{x \cdot y}{2}\]
↓
\[\frac{x \cdot y}{2}\]
\frac{x \cdot y}{2}
↓
\frac{x \cdot y}{2}
double f(double x, double y) {
        double r102722 = x;
        double r102723 = y;
        double r102724 = r102722 * r102723;
        double r102725 = 2.0;
        double r102726 = r102724 / r102725;
        return r102726;
}
↓
double f(double x, double y) {
        double r102727 = x;
        double r102728 = y;
        double r102729 = r102727 * r102728;
        double r102730 = 2.0;
        double r102731 = r102729 / r102730;
        return r102731;
}

Error

Bits error versus x

Bits error versus y

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020024 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))