(- 1 (/ (cos x) (sin x)))

Average Error: 0.3 → 0.3

Time: 1.7s

Precision: binary64

Math

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

↓

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

C

double code(double x) {
	return ((double) (1.0 - ((double) (((double) cos(x)) / ((double) sin(x))))));
}

↓

double code(double x) {
	return ((double) (1.0 - ((double) (((double) cos(x)) / ((double) sin(x))))));
}

Error

Bits error versus x

Derivation

1. Initial program 0.3

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

2. Final simplification 0.3

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

Reproduce

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