Average Error: 0.0 → 0.0
Time: 408.0ms
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 r109600 = x;
        double r109601 = y;
        double r109602 = r109600 * r109601;
        double r109603 = 2.0;
        double r109604 = r109602 / r109603;
        return r109604;
}
↓
double f(double x, double y) {
        double r109605 = x;
        double r109606 = y;
        double r109607 = r109605 * r109606;
        double r109608 = 2.0;
        double r109609 = r109607 / r109608;
        return r109609;
}

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 2019346 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))