Average Error: 0.5 → 0.5
Time: 3.1s
Precision: binary64
\[{\left(\cos x\right)}^{2} - {\left(\sin x\right)}^{2}\]
↓
\[{\left(\cos x\right)}^{2} - {\left(\sin x\right)}^{2}\]
{\left(\cos x\right)}^{2} - {\left(\sin x\right)}^{2}
↓
{\left(\cos x\right)}^{2} - {\left(\sin x\right)}^{2}
double code(double x) {
	return ((double) (((double) pow(((double) cos(x)), 2.0)) - ((double) pow(((double) sin(x)), 2.0))));
}
↓
double code(double x) {
	return ((double) (((double) pow(((double) cos(x)), 2.0)) - ((double) pow(((double) sin(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 0.5

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

  2. Final simplification0.5

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

Reproduce

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