Average Error: 53.2 → 53.2
Time: 2.5s
Precision: binary64
\[\log \left(x + \sqrt{x \cdot x + 1}\right)\]
↓
\[\log \left(x + \sqrt{x \cdot x + 1}\right)\]
\log \left(x + \sqrt{x \cdot x + 1}\right)
↓
\log \left(x + \sqrt{x \cdot x + 1}\right)
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) sqrt(((double) (((double) (x * x)) + 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 53.2

    \[\log \left(x + \sqrt{x \cdot x + 1}\right)\]

  2. Final simplification53.2

    \[\leadsto \log \left(x + \sqrt{x \cdot x + 1}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(log (+ x (sqrt (+ (* x x) 1))))"
  :precision binary64
  (log (+ x (sqrt (+ (* x x) 1.0)))))