Average Error: 0.0 → 0.0
Time: 374.0ms
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 r117584 = x;
        double r117585 = y;
        double r117586 = r117584 * r117585;
        double r117587 = 2.0;
        double r117588 = r117586 / r117587;
        return r117588;
}
↓
double f(double x, double y) {
        double r117589 = x;
        double r117590 = y;
        double r117591 = r117589 * r117590;
        double r117592 = 2.0;
        double r117593 = r117591 / r117592;
        return r117593;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))