Average Error: 15.6 → 15.6
Time: 619.0ms
Precision: binary64
\[\frac{x}{\sqrt{x \cdot x + 1}}\]
↓
\[\frac{x}{\sqrt{x \cdot x + 1}}\]
\frac{x}{\sqrt{x \cdot x + 1}}
↓
\frac{x}{\sqrt{x \cdot x + 1}}
double code(double x) {
	return ((double) (x / ((double) sqrt(((double) (((double) (x * x)) + 1.0))))));
}
↓
double code(double x) {
	return ((double) (x / ((double) sqrt(((double) (((double) (x * 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 15.6

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

  2. Final simplification15.6

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

Reproduce

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