ok the idea is interesting. If I understood well, what you are proposing it’s a method that uses gpt4 in an iterative way to perform complex stuff that requires recursion (this can be used for mathematical stuff and other things too), it can be also a way.
What i proposed has some similarities, but it has to be thought as totally a different approach if compared to prompt engineering and model outputs, this processes things in a fundamental way like neurons do (with flow of information seen as raw numerical values or values in time, that can propagate not only forward but flow in and out from every node to every node).
The aritmetic application i proposed is only an example but this network would be able to do every logical and mathematical operation, and thus model any function representable in a way made of recursions and mathematical operations.
This can be applied to every field: generative nlp, regression, classification, logics, math, reinforcement learning for interacting in an environment , etc