My point is more to the fact that f(x) doesn't have 3.95 in it anywhere. Because another option would be to write f(x) as -(x-2)(x-3)(x-4)*1/6 -(x-1)(x-3)(x-4)*3.95/2 -(x-1)(x-2)(x-4)*9.05/2 + (x-1)(x-2)(x-3)*16.001/6 this recreates the original points, plug in 1 and you get -(-1)(-2)(-3)*1/6 -(0)(-2)(-3)*3.95/2 -(0)(-1)(-3)*9.05/2 + (0)(-1)(-2)*16.001/6 which is just 1.

This version of f(x) has "memorized" the inputs and is written as a direct function of these inputs, versus x^2 which has nothing in it that is retraced to the original inputs. Both of these functions are able to recreate the original inputs. Although one to infinite precision (RMSE = 0) and the other to an RMSE of ~0.035.

I think intuitively we recognize that these two functions are not the same even beyond their obvious differences (first is a 4th order power function, and the other is a 2nd order power function), either way. Point is, I think "memorize" while applicable in both cases, one stores a copy and the other is able to recreate from scratch, and I believe they do mean different things in their legal implications.

Also, I think it is very interesting the divide on this from a philosophical point of view, and with the genie being out of the bottle, then beside strong societal change and pressure that genie is never going back to the bottle.