Average Error: 0.0 → 0.0
Time: 383.0ms
Precision: binary64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
(FPCore (x y) :precision binary64 (sqrt (fabs (- x y))))
↓
(FPCore (x y) :precision binary64 (sqrt (fabs (- x y))))
double code(double x, double y) {
	return sqrt(fabs(x - y));
}
↓
double code(double x, double y) {
	return sqrt(fabs(x - y));
}

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

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2020232 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))