Average Error: 0.0 → 0.0
Time: 917.0ms
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 r68075 = x;
        double r68076 = y;
        double r68077 = r68075 * r68076;
        double r68078 = 2.0;
        double r68079 = r68077 / r68078;
        return r68079;
}
↓
double f(double x, double y) {
        double r68080 = x;
        double r68081 = y;
        double r68082 = r68080 * r68081;
        double r68083 = 2.0;
        double r68084 = r68082 / r68083;
        return r68084;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))