Average Error: 13.6 → 13.6
Time: 1.0s
Precision: binary64
\[cosx + \cos \left(x + 1\right)\]
↓
\[cosx + \cos \left(x + 1\right)\]
cosx + \cos \left(x + 1\right)
↓
cosx + \cos \left(x + 1\right)
double code(double cosx, double x) {
	return ((double) (cosx + ((double) cos(((double) (x + 1.0))))));
}
↓
double code(double cosx, double x) {
	return ((double) (cosx + ((double) cos(((double) (x + 1.0))))));
}

Error

Bits error versus cosx

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 13.6

    \[cosx + \cos \left(x + 1\right)\]

  2. Final simplification13.6

    \[\leadsto cosx + \cos \left(x + 1\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (cosx x)
  :name "(+ cosx (cos (+ x 1)))"
  :precision binary64
  (+ cosx (cos (+ x 1.0))))