Average Error: 0.0 → 0.0
Time: 974.0ms
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 r5302601 = x;
        double r5302602 = y;
        double r5302603 = r5302601 * r5302602;
        double r5302604 = 2.0;
        double r5302605 = r5302603 / r5302604;
        return r5302605;
}
↓
double f(double x, double y) {
        double r5302606 = x;
        double r5302607 = y;
        double r5302608 = r5302606 * r5302607;
        double r5302609 = 2.0;
        double r5302610 = r5302608 / r5302609;
        return r5302610;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019169 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))