Average Error: 40.7 → 40.7
Time: 1.7s
Precision: binary64
\[\cos \left(\sqrt{\left|x + y\right|}\right)\]
↓
\[\cos \left(\sqrt{\left|x + y\right|}\right)\]
\cos \left(\sqrt{\left|x + y\right|}\right)
↓
\cos \left(\sqrt{\left|x + y\right|}\right)
double code(double x, double y) {
	return ((double) cos(((double) sqrt(((double) fabs(((double) (x + y))))))));
}
↓
double code(double x, double y) {
	return ((double) cos(((double) sqrt(((double) fabs(((double) (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 40.7

    \[\cos \left(\sqrt{\left|x + y\right|}\right)\]

  2. Final simplification40.7

    \[\leadsto \cos \left(\sqrt{\left|x + y\right|}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(cos (sqrt (fabs (+ x y))))"
  :precision binary64
  (cos (sqrt (fabs (+ x y)))))