Average Error: 0.0 → 0.0
Time: 439.0ms
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 r120677 = x;
        double r120678 = y;
        double r120679 = r120677 * r120678;
        double r120680 = 2.0;
        double r120681 = r120679 / r120680;
        return r120681;
}
↓
double f(double x, double y) {
        double r120682 = x;
        double r120683 = y;
        double r120684 = r120682 * r120683;
        double r120685 = 2.0;
        double r120686 = r120684 / r120685;
        return r120686;
}

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 2020033 +o rules:numerics
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))