Chess has mathematical patterns but the solution isn't mathematical.
Well, i feel its some kinda STEM. donchu ? and maybe even some kinda STEAM. a/w we needta start by saying how much (lets take e.g.) pawns are worth. e/o says uhhh....1 !! thats sooo dopey. before a game begins a d-pawn is probably worth more than a a-pawn right ? well, how much more ? well thats gonna be difficult. Accurately evaluating ea & every piece/pawn relative to ea & every accurately evaluated square it controls &/or occupies (or CAN !) needsta happen...PER PLY. our effort is to solve chess right ?...not guess as to how many legal positions there are...hello-hello-hello. iows thinking like a computer isnt gonna get u a/w. trust me.
you'll notice how tygxc did completely ignore the possibilities of improvement you presented, just as i predicted, and instead tried to deflect by redefining "improvement" when you were obviously exclusively talking about reducing errors.