Average Error: 38.9 → 38.9
Time: 932.0ms
Precision: binary64
\[\sqrt{1 + x} - 1\]
↓
\[\sqrt{1 + x} - 1\]
\sqrt{1 + x} - 1
↓
\sqrt{1 + x} - 1
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + x)))) - 1.0));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 + 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 38.9

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

  2. Final simplification38.9

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

Reproduce

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