Average Error: 0 → 0
Time: 385.0ms
Precision: binary64
\[\frac{\left|a - b\right|}{2}\]
↓
\[\frac{\left|a - b\right|}{2}\]
\frac{\left|a - b\right|}{2}
↓
\frac{\left|a - b\right|}{2}
(FPCore (a b) :precision binary64 (/ (fabs (- a b)) 2.0))
↓
(FPCore (a b) :precision binary64 (/ (fabs (- a b)) 2.0))
double code(double a, double b) {
	return fabs(a - b) / 2.0;
}
↓
double code(double a, double b) {
	return fabs(a - b) / 2.0;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\frac{\left|a - b\right|}{2}\]

  2. Final simplification0

    \[\leadsto \frac{\left|a - b\right|}{2}\]

Reproduce

herbie shell --seed 2020233 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2.0))