Average Error: 30.5 → 30.5
Time: 4.7s
Precision: binary64
\[\frac{1 - \cos x}{\sin x}\]
\[\frac{1 - \cos x}{\sin x}\]
\frac{1 - \cos x}{\sin x}
\frac{1 - \cos x}{\sin x}
double code(double x) {
	return ((double) (((double) (1.0 - ((double) cos(x)))) / ((double) sin(x))));
}
double code(double x) {
	return ((double) (((double) (1.0 - ((double) cos(x)))) / ((double) sin(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

    \[\frac{1 - \cos x}{\sin x}\]
  2. Final simplification30.5

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

Reproduce

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