Average Error: 59.7 → 59.7
Time: 2.4s
Precision: binary64
\[\log \left(\sqrt{x + 1} - \sqrt{x}\right)\]
↓
\[\log \left(\sqrt{x + 1} - \sqrt{x}\right)\]
\log \left(\sqrt{x + 1} - \sqrt{x}\right)
↓
\log \left(\sqrt{x + 1} - \sqrt{x}\right)
double code(double x) {
	return ((double) log(((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x))))));
}
↓
double code(double x) {
	return ((double) log(((double) (((double) sqrt(((double) (x + 1.0)))) - ((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 59.7

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

  2. Final simplification59.7

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(log (- (sqrt (+ x 1)) (sqrt x)))"
  :precision binary64
  (log (- (sqrt (+ x 1.0)) (sqrt x))))