Average Error: 37.2 → 37.2
Time: 2.8s
Precision: binary64
\[\frac{sinx}{x - \sqrt{{x}^{2} - 1}}\]
↓
\[\frac{sinx}{x - \sqrt{{x}^{2} - 1}}\]
\frac{sinx}{x - \sqrt{{x}^{2} - 1}}
↓
\frac{sinx}{x - \sqrt{{x}^{2} - 1}}
double code(double sinx, double x) {
	return ((double) (sinx / ((double) (x - ((double) sqrt(((double) (((double) pow(x, 2.0)) - 1.0))))))));
}
↓
double code(double sinx, double x) {
	return ((double) (sinx / ((double) (x - ((double) sqrt(((double) (((double) pow(x, 2.0)) - 1.0))))))));
}

Error

Bits error versus sinx

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 37.2

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

  2. Final simplification37.2

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

Reproduce

herbie shell --seed 2020152 
(FPCore (sinx x)
  :name "(/ sinx (- x (sqrt (- (pow x 2) 1))))"
  :precision binary64
  (/ sinx (- x (sqrt (- (pow x 2.0) 1.0)))))