Reading Scala docs written by the experts one can get the impression that tail recursion is better than a while loop, even when the latter is more concise and clearer. This is o
Did these experts say that performance was the reason? I'm betting their reasons are more to do with expressive code and functional programming. Could you cite examples of their arguments?
One interesting reason why recursive solutions can be more efficient than more imperative alternatives is that they very often operate on lists and in a way that uses only head and tail operations. These operations are actually faster than random-access operations on more complex collections.
Anther reason that while-based solutions may be less efficient is that they can become very ugly as the complexity of the problem increases...
(I have to say, at this point, that your example is not a good one, since neither of your loops do anything useful. Your recursive loop is particularly atypical since it returns nothing, which implies that you are missing a major point about recursive functions. The functional bit. A recursive function is much more than another way of repeating the same operation n times.)
While loops do not return a value and require side effects to achieve anything. It is a control structure which only works at all for very simple tasks. This is because each iteration of the loop has to examine all of the state to decide what to next. The loops boolean expression may also have to be come very complex if there are multiple potential exit paths (or that complexity has to be distributed throughout the code in the loop, which can be ugly and obfuscatory).
Recursive functions offer the possibility of a much cleaner implementation. A good recursive solution breaks a complex problem down in to simpler parts, then delegates each part on to another function which can deal with it - the trick being that that other function is itself (or possibly a mutually recursive function, though that is rarely seen in Scala - unlike the various Lisp dialects, where it is common - because of the poor tail recursion support). The recursively called function receives in its parameters only the simpler subset of data and only the relevant state; it returns only the solution to the simpler problem. So, in contrast to the while loop,
Given these advantages, recursion can make it easier to achieve an efficient solution. Especially if you count maintainability as an important factor in long-term efficiency.
I'm going to go find some good examples of code to add. Meanwhile, at this point I always recommend The Little Schemer. I would go on about why but this is the second Scala recursion question on this site in two days, so look at my previous answer instead.