Average Error: 0.0 → 0.0
Time: 372.0ms
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 r9154 = x;
        double r9155 = y;
        double r9156 = r9154 * r9155;
        double r9157 = 2.0;
        double r9158 = r9156 / r9157;
        return r9158;
}
↓
double f(double x, double y) {
        double r9159 = x;
        double r9160 = y;
        double r9161 = r9159 * r9160;
        double r9162 = 2.0;
        double r9163 = r9161 / r9162;
        return r9163;
}

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))