Non-trivial heuristically

non-trivial: I saw a non-trivial word in a paper today. I searched it online, it means that the interpretation of this equation is complex. It may not be able to be obtained within a limited period of time, or the time complexity is very high.

heristically: heuristic in Chinese. heuristic method refers to a method used by people to discover problems based on empirical rules. It is characteristic that, when solving a problem, you can use the past experience to select an effective method, rather than looking for answers through a systematic and definite step. the heuristic solution is opposite to the algorithm . The algorithm tries all the possibilities one by one and finally finds the answer to the question, but it is in a large problem space , takes a lot of time and effort to obtain the answer. The heuristic method is to greatly reduce the number of attempts in a limited search space and quickly solve the problem. However, this method has the characteristics of an incorrect attempt, so it is also possible to fail. Many significant discoveries made by scientists often use extremely simple heuristic rules.
according to the Information Processing Theory of Cognitive Psychology , heuristic is an important way for human thinking to solve problems. In artificial intelligence commonly used heuristic design computers Program to simulate human thinking activities to solve problems. It has been proved that this is an effective way