This seems like a guaranteed recipe for overfitting. You’re searching over an enormous space of analytic functions and reporting fits without (as far as I can tell) any regularization penalty on model complexity or validation on holdout data. Your model will fit well to any data you throw at it under those conditions, and the result is very unlikely to generalize.

I’m sorry if I’ve grossly misunderstood what you’re doing here, but trying to sell this method in a GUI tool (making it usable by people without a background in statistics) seems almost negligent.