Average Error: 0.1 → 0.1
Time: 464.0ms
Precision: binary64
\[\frac{x + \frac{4}{x}}{2}\]
↓
\[\frac{x + \frac{4}{x}}{2}\]
\frac{x + \frac{4}{x}}{2}
↓
\frac{x + \frac{4}{x}}{2}
double code(double x) {
	return ((double) (((double) (x + ((double) (4.0 / x)))) / 2.0));
}
↓
double code(double x) {
	return ((double) (((double) (x + ((double) (4.0 / x)))) / 2.0));
}

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

    \[\frac{x + \frac{4}{x}}{2}\]

  2. Final simplification0.1

    \[\leadsto \frac{x + \frac{4}{x}}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (+ x (/ 4 x)) 2)"
  :precision binary64
  (/ (+ x (/ 4.0 x)) 2.0))