Average Error: 0.1 → 0.1
Time: 905.0ms
Precision: binary64
\[\frac{\sqrt{a + 1}}{\sqrt{a}}\]
↓
\[\frac{\sqrt{a + 1}}{\sqrt{a}}\]
\frac{\sqrt{a + 1}}{\sqrt{a}}
↓
\frac{\sqrt{a + 1}}{\sqrt{a}}
double code(double a) {
	return ((double) (((double) sqrt(((double) (a + 1.0)))) / ((double) sqrt(a))));
}
↓
double code(double a) {
	return ((double) (((double) sqrt(((double) (a + 1.0)))) / ((double) sqrt(a))));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

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