Average Error: 0.1 → 0.1
Time: 1.1s
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 r97403 = x;
        double r97404 = y;
        double r97405 = r97403 * r97404;
        double r97406 = 2.0;
        double r97407 = r97405 / r97406;
        return r97407;
}
↓
double f(double x, double y) {
        double r97408 = x;
        double r97409 = y;
        double r97410 = r97408 * r97409;
        double r97411 = 2.0;
        double r97412 = r97410 / r97411;
        return r97412;
}

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 0.1

    \[\frac{x \cdot y}{2}\]

  2. Final simplification0.1

    \[\leadsto \frac{x \cdot y}{2}\]

Reproduce

herbie shell --seed 1978988140 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2))