Average Error: 46.5 → 46.5
Time: 4.3s
Precision: binary64
\[\frac{\sin x}{x - \sqrt{{x}^{2} - 1}}\]
↓
\[\frac{\sin x}{x - \sqrt{{x}^{2} - 1}}\]
\frac{\sin x}{x - \sqrt{{x}^{2} - 1}}
↓
\frac{\sin x}{x - \sqrt{{x}^{2} - 1}}
double code(double x) {
	return ((double) (((double) sin(x)) / ((double) (x - ((double) sqrt(((double) (((double) pow(x, 2.0)) - 1.0))))))));
}
↓
double code(double x) {
	return ((double) (((double) sin(x)) / ((double) (x - ((double) sqrt(((double) (((double) pow(x, 2.0)) - 1.0))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 46.5

    \[\frac{\sin x}{x - \sqrt{{x}^{2} - 1}}\]

  2. Final simplification46.5

    \[\leadsto \frac{\sin x}{x - \sqrt{{x}^{2} - 1}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (sin x) (- x (sqrt (- (pow x 2) 1))))"
  :precision binary64
  (/ (sin x) (- x (sqrt (- (pow x 2.0) 1.0)))))