>>12158324I'm gonna guess no; it looks pretty messy. It's mostly just the product of a bunch of random fractions, how would you turn that into a sum; it doesn't really simplify.
Plus there are a bunch of other unstated restrictions that start to emerge, I think.
Such as rules for p_i when it is <0, 0-1, or > 1, and rules for the number of x_i=1 versus the number of x_i=-1.
It breaks into many cases
