Average Error: 0.0 → 0.0
Time: 387.0ms
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 r119883 = x;
        double r119884 = y;
        double r119885 = r119883 * r119884;
        double r119886 = 2.0;
        double r119887 = r119885 / r119886;
        return r119887;
}
↓
double f(double x, double y) {
        double r119888 = x;
        double r119889 = y;
        double r119890 = r119888 * r119889;
        double r119891 = 2.0;
        double r119892 = r119890 / r119891;
        return r119892;
}

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 2019353 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))