I don't agree that it's not algorithmic. In the most generic sense of "problem solving" it's a binary search to find the issue. You test the most likely and c

I don't agree that it's not algorithmic. In the most generic sense of "problem solving" it's a binary search to find the issue. You test the most likely and continue to narrow down from there. When you have specific examples for problem solving as in solving a problem with a specific thing those can very much be algorithmic. Simply look at any troubleshooting guides that many industries use to train their technicians with. After a while in a given area experience can often solve a problem faster than the guide procedure but that does not invalidate the procedure in the guide.