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

Average Error: 15.1 → 15.1

Time: 1.4s

Precision: binary64

Math

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

↓

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

C

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 15.1

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

2. Final simplification 15.1

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

Reproduce

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