Average Error: 0.0 → 0.0
Time: 410.0ms
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 r119398 = x;
        double r119399 = y;
        double r119400 = r119398 * r119399;
        double r119401 = 2.0;
        double r119402 = r119400 / r119401;
        return r119402;
}
↓
double f(double x, double y) {
        double r119403 = x;
        double r119404 = y;
        double r119405 = r119403 * r119404;
        double r119406 = 2.0;
        double r119407 = r119405 / r119406;
        return r119407;
}

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))