Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[\frac{1}{\sqrt{1 - \frac{1}{{x}^{2}}}}\]
↓
\[\frac{1}{\sqrt{1 - \frac{1}{{x}^{2}}}}\]
\frac{1}{\sqrt{1 - \frac{1}{{x}^{2}}}}
↓
\frac{1}{\sqrt{1 - \frac{1}{{x}^{2}}}}
double code(double x) {
	return ((double) (1.0 / ((double) sqrt(((double) (1.0 - ((double) (1.0 / ((double) pow(x, 2.0))))))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) sqrt(((double) (1.0 - ((double) (1.0 / ((double) pow(x, 2.0))))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

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