Average Error: 0.2 → 0.2
Time: 2.0s
Precision: binary64
\[{\left(\cos \left(\frac{x}{2}\right)\right)}^{2}\]
↓
\[{\left(\cos \left(\frac{x}{2}\right)\right)}^{2}\]
{\left(\cos \left(\frac{x}{2}\right)\right)}^{2}
↓
{\left(\cos \left(\frac{x}{2}\right)\right)}^{2}
double code(double x) {
	return ((double) pow(((double) cos(((double) (x / 2.0)))), 2.0));
}
↓
double code(double x) {
	return ((double) pow(((double) cos(((double) (x / 2.0)))), 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 0.2

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

  2. Final simplification0.2

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

Reproduce

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