I have a large polynomial equation f(u1,u2,u3,etc) that I would like to reorganize into separate functions f(u1) + f(u2) + f(u3) + etc. I was wondering if Mathematica could help compute what f(u1), f(u2), f(u3), ... should be. I don't need a solution, just a reorganization of the function into smaller functions of one variable.
I could do it by hand, separating variables using logs, and collecting similar terms together. It is a large equation though, obtained through a regression, and I would prefer to not have to do it by hand.
Is this something that could be automated?