Average Error: 31.1 → 31.1
Time: 1.3s
Precision: binary64
\[\frac{x}{\sqrt{{x}^{2} - 1}}\]
↓
\[\frac{x}{\sqrt{{x}^{2} - 1}}\]
\frac{x}{\sqrt{{x}^{2} - 1}}
↓
\frac{x}{\sqrt{{x}^{2} - 1}}
double code(double x) {
	return ((double) (x / ((double) sqrt(((double) (((double) pow(x, 2.0)) - 1.0))))));
}
↓
double code(double x) {
	return ((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 31.1

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

  2. Final simplification31.1

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

Reproduce

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