This is pedantic and I'm not even certain correct. Full SI will run forever without returning an answer, sure. But as it runs it will get closer and closer to t

This is pedantic and I'm not even certain correct. Full SI will run forever without returning an answer, sure. But as it runs it will get closer and closer to the true answer. Eventually it will approach an answer within whatever degree of precision you want. And it will be more accurate than any alternative algorithm, so it's still optimal.