Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) log(((double) (((double) (1.0 / x)) + ((double) (((double) sqrt(((double) (1.0 - ((double) (x * x)))))) / x))))));
}

↓
double code(double x) {
	return ((double) (((double) log(((double) (((double) sqrt(((double) (1.0 + ((double) sqrt(((double) (1.0 - ((double) (x * x)))))))))) / ((double) sqrt(x)))))) + ((double) log(((double) (((double) sqrt(((double) (1.0 + ((double) sqrt(((double) (1.0 - ((double) (x * x)))))))))) / ((double) sqrt(x))))))));
}

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
    \[\]
  2. Simplified0.0
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-sqr-sqrt0.0
    \[\leadsto \]
  5. Applied add-sqr-sqrt0.0
    \[\leadsto \]
  6. Applied times-frac0.0
    \[\leadsto \]
  7. Applied log-prod0.0
    \[\leadsto \]
  8. Final simplification0.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x)
  :name "Hyperbolic arc-(co)secant"
  :precision binary64
  (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))