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I don't understand the XG numbers here

Posted By: eXtreme Gammon
Date: Wednesday, 29 December 2010, at 12:59 a.m.

In Response To: I don't understand the XG numbers here (Bob Koca)


This is a side effect of a process intend to avoid user confusion.
When recursing through the ply level equity can go up or down. To avoid that a move analyzed at higher level (N+1) show an equity lower than the one that do no make it through the move filter i minor the equity of low level move.

As i am sure i am not phrasing that very well let me explain what's happening here in 3-ply.
first it analyze all move in 1-ply. then it will analzye 6/4(2) 5/3(2) (top move) and 6/4 6/off (only choice within 0.160 of the top move). However XG always include the top position of each position type in the move filter. Here 6/2 4/2(2) change the position type from regular contact into a crashed (or crunched) board one. So the move make to 2-ply level filter. The same repeat in 3-ply: only the top move and the crashed pos are analyzed.

So the display should show 

 

1. 3-ply 6/4(2) 5/3(2)   +1.688  

2. 3-ply 6/2 4/2(2)      +0.815 (-0.873) 

3. 2-ply 6/4 6/off       +1.519 (-0.169)

Now what i do in these case, in order to have the move equity order I reduce move 3 (and all subsequent equity) so it fall being move 2. in that case they'll be reduced by 1.519-0.815. so the display shows 
 

1. 3-ply 6/4(2) 5/3(2)   +1.688  

2. 3-ply 6/2 4/2(2)      +0.815 (-0.873) 

3. 2-ply 6/4 6/off       +0.815 (-0.873)


Conclusion:
  • This system is only a display issue, if you reanalyze the 6/4 6/off move the equity will display again the 1.519. As XG always analyze the move played in the same level than the analyze level it does not affect analyze result.
  • The idea to make thing less confusing by having the lower ply move always smaller than the top ply one, backfired. I think i will remove that part in the next version, even though i know i will have quite a few email asking me why move 3 is showing a higher equity than the top 2 (not in that example)and is not listed as the best.

    Xavier




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