Average Error: 0.0 → 0.0
Time: 552.0ms
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 r107739 = x;
        double r107740 = y;
        double r107741 = r107739 * r107740;
        double r107742 = 2.0;
        double r107743 = r107741 / r107742;
        return r107743;
}
↓
double f(double x, double y) {
        double r107744 = x;
        double r107745 = y;
        double r107746 = r107744 * r107745;
        double r107747 = 2.0;
        double r107748 = r107746 / r107747;
        return r107748;
}

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 2020100 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))