Average Error: 0.1 → 0.1
Time: 2.3s
Precision: binary64
\[\cos \left({\left(\cos x\right)}^{2} - 1\right)\]
↓
\[\cos \left({\left(\cos x\right)}^{2} - 1\right)\]
\cos \left({\left(\cos x\right)}^{2} - 1\right)
↓
\cos \left({\left(\cos x\right)}^{2} - 1\right)
double code(double x) {
	return ((double) cos(((double) (((double) pow(((double) cos(x)), 2.0)) - 1.0))));
}
↓
double code(double x) {
	return ((double) cos(((double) (((double) pow(((double) cos(x)), 2.0)) - 1.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(cos (- (pow (cos x) 2.0) 1.0))"
  :precision binary64
  (cos (- (pow (cos x) 2.0) 1.0)))