Well, I may take that back, recursion may be useful if you have a 5000 loc function that you need to invoke on some very rare occasion once. And if you care about the size of your executable a lot for some reason. But on hotpath, it makes no sense. Unless you are trying to satisfy your academia, which likely aren't teaching you useful stuff anyways... But even in those cases, recursion can be a goto statement, with little state dublication. I tried actually cracking this problem before, (about rewriting recursion iteratively) and the aspect of your analyzer to keep track of every data that is actually relevant (to get the optimal solution) is hard to achieve. I had some sucesses, until I got tired of trying to solve this. Sorry this a bit off topic, carry on.
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