Average Error: 30.5 → 30.5
Time: 2.3s
Precision: binary64
\[\frac{\cos x - 1}{x}\]
↓
\[\frac{\cos x - 1}{x}\]
\frac{\cos x - 1}{x}
↓
\frac{\cos x - 1}{x}
double code(double x) {
	return ((double) (((double) (((double) cos(x)) - 1.0)) / x));
}
↓
double code(double x) {
	return ((double) (((double) (((double) cos(x)) - 1.0)) / x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.5

    \[\frac{\cos x - 1}{x}\]

  2. Final simplification30.5

    \[\leadsto \frac{\cos x - 1}{x}\]

Reproduce

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