Average Error: 0.0 → 0.0
Time: 1.1s
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 r4910313 = x;
        double r4910314 = y;
        double r4910315 = r4910313 * r4910314;
        double r4910316 = 2.0;
        double r4910317 = r4910315 / r4910316;
        return r4910317;
}
↓
double f(double x, double y) {
        double r4910318 = x;
        double r4910319 = y;
        double r4910320 = r4910318 * r4910319;
        double r4910321 = 2.0;
        double r4910322 = r4910320 / r4910321;
        return r4910322;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))