Average Error: 0.0 → 0.0
Time: 724.0ms
Precision: 64
\[\frac{x \cdot y}{2.0}\]
↓
\[\frac{x \cdot y}{2.0}\]
\frac{x \cdot y}{2.0}
↓
\frac{x \cdot y}{2.0}
double f(double x, double y) {
        double r5809381 = x;
        double r5809382 = y;
        double r5809383 = r5809381 * r5809382;
        double r5809384 = 2.0;
        double r5809385 = r5809383 / r5809384;
        return r5809385;
}
↓
double f(double x, double y) {
        double r5809386 = x;
        double r5809387 = y;
        double r5809388 = r5809386 * r5809387;
        double r5809389 = 2.0;
        double r5809390 = r5809388 / r5809389;
        return r5809390;
}

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

    \[\frac{x \cdot y}{2.0}\]

  2. Final simplification0.0

    \[\leadsto \frac{x \cdot y}{2.0}\]

Reproduce

herbie shell --seed 2019164 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  (/ (* x y) 2.0))