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42P-xxP-42, summary

Posted By: Nack Ballard
Date: Thursday, 27 May 2010, at 7:54 a.m.

In Response To: 42P-64P-42 - Rollout (mtuhtan)

I had missed this thread entirely because I forgot the joke about "unreal backgammon." (Mostly I read only posts that have to do with early game rollouts or analysis.) Thanks for posting the Nactation sequences in the titles of the rollout posts -- drew me like a magnet. Great set of positions!

For three of the five positions, I found Snowie rollouts, though fewer trials and no live cube. I've included those to the right of your XG results summarized below:

42P-61P-42 [S Z2] 20k, Snowie [Z S2] 10k
42P-31P-42 [Z R33 D35] 2k
42P-42P-42 [S Z3] 20k, Snowie [S Z3 D11] 5k
42P-53P-42 [D S15] 20k
42P-64P-42 [D Z19 S27] 10k, Snowie [D Z24 S40] 5k

Key: S = Split (24/20 13/11), Z = reverse split (24/22 13/9), D = Down (13/11 13/9), R = Run (24/18). Error sizes are in thousandths. After the brackets, the number of trials (in thousands, rounded down) is listed. For example, "[D Z19 S27] 10k" means that D is best, Z is -.019 and S is -.027 after 10000+ trials.

John and Chase seem to have nailed all the right answers (and good analyses accompanying), though in the case of the first and third position (for which they chose S) I think it's more meaningful to say that S and Z are tied.

I was a bit surprised that for the 42P position you didn't roll out D (which Snowie's rollout has at only -.011).

For reference, the five positions are diagrammed below, with (aggregate) rollout results encaptioned.


2O ' ' ' '5X2X2X ' ' '5O

2X ' '2O '4O '2O ' ' '4X

42P-61P-42 [S Z1]



2O ' ' '2X4X '2X ' ' '5O

2X ' '2O '4O '2O ' ' '5X

42P-31P-42 [Z R33 D35]



2O ' '2X '4X '2X ' ' '5O

2X ' '2O '4O '2O ' ' '5X

42P-42P-42 [S Z3 D11]



2O '2X ' '4X '2X ' ' '5O

2X ' '2O '4O '2O ' ' '5X

42P-53P-42 [D S15]



2O2X ' ' '4X '2X ' ' '5O

2X ' '2O '4O '2O ' ' '5X

42P-64P-42 [D Z21 S31]


For the four inside-point positions, note how the edge by which split beats down changes (crossing over between 42P and 53P): .035, .011, -.015, -.031.

Nack

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