Average Error: 39.3 → 39.3
Time: 1.2s
Precision: binary64
\[\sqrt{x + 1} - \sqrt{1}\]
↓
\[\sqrt{x + 1} - \sqrt{1}\]
\sqrt{x + 1} - \sqrt{1}
↓
\sqrt{x + 1} - \sqrt{1}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(1.0))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((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 39.3

    \[\sqrt{x + 1} - \sqrt{1}\]

  2. Final simplification39.3

    \[\leadsto \sqrt{x + 1} - \sqrt{1}\]

Reproduce

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