Average Error: 15.5 → 15.5
Time: 1.7s
Precision: binary64
\[1 - \cos \left(\frac{x}{2}\right)\]
↓
\[1 - \cos \left(\frac{x}{2}\right)\]
1 - \cos \left(\frac{x}{2}\right)
↓
1 - \cos \left(\frac{x}{2}\right)
double code(double x) {
	return ((double) (1.0 - ((double) cos(((double) (x / 2.0))))));
}
↓
double code(double x) {
	return ((double) (1.0 - ((double) cos(((double) (x / 2.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.5

    \[1 - \cos \left(\frac{x}{2}\right)\]

  2. Final simplification15.5

    \[\leadsto 1 - \cos \left(\frac{x}{2}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- 1 (cos (/ x 2)))"
  :precision binary64
  (- 1.0 (cos (/ x 2.0))))