Average Error: 31.5 → 0.0
Time: 3.7s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) log(((double) (x + ((double) sqrt(((double) (((double) (x * x)) - 1.0))))))));
}

↓
double code(double x) {
	return ((double) log(((double) (x + ((double) (((double) sqrt(((double) (x + ((double) sqrt(1.0)))))) * ((double) sqrt(((double) (x - ((double) sqrt(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 31.5
    \[\]
  2. Using strategy rm
  3. Applied add-sqr-sqrt31.5
    \[\leadsto \]
  4. Applied difference-of-squares31.5
    \[\leadsto \]
  5. Applied sqrt-prod0.0
    \[\leadsto \]
  6. Final simplification0.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x)
  :name "Hyperbolic arc-cosine"
  :precision binary64
  (log (+ x (sqrt (- (* x x) 1.0)))))