Average Error: 0.0 → 0.0
Time: 747.0ms
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 r90539 = x;
        double r90540 = y;
        double r90541 = r90539 * r90540;
        double r90542 = 2.0;
        double r90543 = r90541 / r90542;
        return r90543;
}
↓
double f(double x, double y) {
        double r90544 = x;
        double r90545 = y;
        double r90546 = r90544 * r90545;
        double r90547 = 2.0;
        double r90548 = r90546 / r90547;
        return r90548;
}

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 2019235 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))