Average Error: 0.0 → 0.0
Time: 378.0ms
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 r116321 = x;
        double r116322 = y;
        double r116323 = r116321 * r116322;
        double r116324 = 2.0;
        double r116325 = r116323 / r116324;
        return r116325;
}
↓
double f(double x, double y) {
        double r116326 = x;
        double r116327 = y;
        double r116328 = r116326 * r116327;
        double r116329 = 2.0;
        double r116330 = r116328 / r116329;
        return r116330;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))