Average Error: 0.1 → 0.1
Time: 570.0ms
Precision: binary64
\[\sqrt{1 + \frac{1}{x}}\]
↓
\[\sqrt{1 + \frac{1}{x}}\]
\sqrt{1 + \frac{1}{x}}
↓
\sqrt{1 + \frac{1}{x}}
double code(double x) {
	return ((double) sqrt(((double) (1.0 + ((double) (1.0 / x))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (1.0 + ((double) (1.0 / x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

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