Average Error: 0.1 → 0.1
Time: 531.0ms
Precision: binary64
\[\left\lfloor\frac{x + \frac{5}{x}}{2}\right\rfloor\]
↓
\[\left\lfloor\frac{x + \frac{5}{x}}{2}\right\rfloor\]
\left\lfloor\frac{x + \frac{5}{x}}{2}\right\rfloor
↓
\left\lfloor\frac{x + \frac{5}{x}}{2}\right\rfloor
double code(double x) {
	return ((double) floor(((double) (((double) (x + ((double) (5.0 / x)))) / 2.0))));
}
↓
double code(double x) {
	return ((double) floor(((double) (((double) (x + ((double) (5.0 / 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

    \[\left\lfloor\frac{x + \frac{5}{x}}{2}\right\rfloor\]

  2. Final simplification0.1

    \[\leadsto \left\lfloor\frac{x + \frac{5}{x}}{2}\right\rfloor\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(floor (/ (+ x (/ 5 x)) 2))"
  :precision binary64
  (floor (/ (+ x (/ 5.0 x)) 2.0)))