Average Error: 0.0 → 0.0
Time: 370.0ms
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 r119125 = x;
        double r119126 = y;
        double r119127 = r119125 * r119126;
        double r119128 = 2.0;
        double r119129 = r119127 / r119128;
        return r119129;
}
↓
double f(double x, double y) {
        double r119130 = x;
        double r119131 = y;
        double r119132 = r119130 * r119131;
        double r119133 = 2.0;
        double r119134 = r119132 / r119133;
        return r119134;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))