Average Error: 0.1 → 0.1
Time: 576.0ms
Precision: binary64
\[\frac{\sqrt{x + 1}}{x}\]
↓
\[\frac{\sqrt{x + 1}}{x}\]
\frac{\sqrt{x + 1}}{x}
↓
\frac{\sqrt{x + 1}}{x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) / x));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 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

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

  2. Final simplification0.1

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

Reproduce

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