Average Error: 30.0 → 30.0
Time: 2.1s
Precision: binary64
\[\frac{1 - \cos x}{x}\]
↓
\[\frac{1 - \cos x}{x}\]
\frac{1 - \cos x}{x}
↓
\frac{1 - \cos x}{x}
double code(double x) {
	return ((double) (((double) (1.0 - ((double) cos(x)))) / x));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 - ((double) cos(x)))) / x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.0

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

  2. Final simplification30.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (- 1 (cos x)) x)"
  :precision binary64
  (/ (- 1.0 (cos x)) x))