Average Error: 0.0 → 0.0
Time: 634.0ms
Precision: binary64
\[\frac{x \cdot y}{2}\]
↓
\[x \cdot \frac{y}{2}\]
\frac{x \cdot y}{2}
↓
x \cdot \frac{y}{2}
double code(double x, double y) {
	return (((double) (x * y)) / 2.0);
}
↓
double code(double x, double y) {
	return ((double) (x * (y / 2.0)));
}

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020196 
(FPCore (x y)
  :name "Numeric.Interval.Internal:scale from intervals-0.7.1, B"
  :precision binary64
  (/ (* x y) 2.0))