Average Error: 0.1 → 0.1
Time: 3.2s
Precision: binary64
\[x + \frac{\left|y - x\right|}{2}\]
↓
\[x + \frac{\left|y - x\right|}{2}\]
x + \frac{\left|y - x\right|}{2}
↓
x + \frac{\left|y - x\right|}{2}
(FPCore (x y) :precision binary64 (+ x (/ (fabs (- y x)) 2.0)))
↓
(FPCore (x y) :precision binary64 (+ x (/ (fabs (- y x)) 2.0)))
double code(double x, double y) {
	return ((double) (x + (((double) fabs(((double) (y - x)))) / 2.0)));
}
↓
double code(double x, double y) {
	return ((double) (x + (((double) fabs(((double) (y - x)))) / 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 Error: 0.1 bits

    \[x + \frac{\left|y - x\right|}{2}\]

  2. Final simplificationError: 0.1 bits

    \[\leadsto x + \frac{\left|y - x\right|}{2}\]

Reproduce

herbie shell --seed 2020204 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Plot.AreaSpots:renderSpotLegend from Chart-1.5.3"
  :precision binary64
  (+ x (/ (fabs (- y x)) 2.0)))