A mathematical formula to convert pip count into equity

[Pinbacker]

Hello.

I would like a mathematical formula to convert pip count into equity.

The formula needs to be simple enough to be used by a human during a game.

Of course the formula will only be an approximation and will not give the true equity which only computers can calculate.

One possible formula would be:
E(W) = K * ( P(B) - P(W) )

where:
- E(W) is White's Equity
- P(B) is Black's Pip count
- P(W) is White's Pip count
- K is a constant which we would need to find the value

But this previous formula is way too inaccurate since if P(B) - P(W) = 40 in the endgame then White has a gigantic advantage but if P(B) - P(W) = 40 in the early middle game then White's advantage is much smaller.

So maybe a better formula would be:
E(W) = K * ( P(B) - P(W) ) / ( P(B) + P(W) )

or almost equivalently:
E(W) = K * ( P(B) - P(W) ) / P(W)

(Note that the value of the constant K is different for the three formulas.)

I'm not so sure about this. I'm only a beginner. Maybe some more advanced players know of some good mathematical formulas.

Thanks in advance for your answers.

[dorbel]

You are trying to reinvent the wheel. Buy a book, Walter Trice's Backgammon Boot Camp is a good starting point, or search the Internet on this subject. You don't really need to convert a pipcount into equity, just whether or not it is a correct double and if it is, is it a correct take.

[NIHILIST]

If you really want to jerk off, just go into the mens' room and close the door.

Bob