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Magriel: Backgammon--GnuBG evaluations
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From: |
Randy |
Address: |
rjpals@comcast.net |
Date: |
20 July 2008 |
Subject: |
Magriel VS. GNU (long) |
Forum: |
BGonline.org Forums |
I like Paul Magriel's classic book "Backgammon" a lot, but I was always
concerned about how some of the examples might stack up against modern,
neural-network based advice. So, I went through the book with GNU, set on
2-ply, to take a look at the positions. (I didn't want to make a career of
it and do rollouts of the positions).
I have compiled the results, and decided to post them for whatever use they
may be to others. A few points:
1. This shouldn't necessarily be construed as a list of Magriel errata,
just a list of where GNU 2-ply disagrees.
2. I put all the positions into a 7-away, 7-away match, and used cubeful
equity evaluations.
3. I have only given results for positions where GNU's recommended move is
not the same as Magriel's. In most cases, the equities are pretty close
(see stats below).
4. I only examined positions in Chapters 12 through 29, excluding chapter
15 (openings). I excluded the backgame section of Chapter 29, as bots are
still suspect at backgames in rollouts, much less in 2-ply examinations.
5. For positions listed, the GNU recommended move is followed by the
ordered list of other possibilities, with their equity differences from the
GNU recommended move. The last move in the list is Magriel's recommended
move. Occasionally when the list was long and I got lazy, I inserted an
ellipsis (...) to show there were other moves between GNU's recommendation
and Magriel's recommendation.
Please point out errors if you find them -- thanks.
Randy
-------------------------------------------------------------------------
Statistics as follows:
Positions examined: 267
Positions where GNU's move agreed with Magriel's move: 175
Average equity loss of Magriel's move, all 267 positions: .026
Average equity loss of Magriel's move, only the 92 positions where GNU
disagrees: .076
Median equity loss of Magriel's move, only the 92 positions where GNU
disagrees: .046
Chapter 12 -- Builders and Flexibility
--------------------------------------
Position 12.1
GNU prefers 1A or 1B to 1C
8/7 8/5
8/6(2) -.026
7/6 7/4 -.041
Position 12.4
GNU prefers 4A to 4B
10/9 6/4
10/8 6/5 -.142
Position 12.8
GNU prefers 8A to 8B
9/5
8/5 6/5 -.020
Position 12.11B
8/5* 6/5
6/5*(2) 8/7 -.016
Position 12.12
b/23 13/12*/11*
b/24 13/12*/11*/10 -.017
b/24 13/12*/11* 7/6 -.057
Position 12.16B
24/23
10/9 -.069
Position 12.18
8/5 7/5
7/4 6/4 -.048
Position 12.19
10/7 9/7
13/10 24/22 -.046
Position 12.20
10/2
10/8 10/4 -.004
Chapter 13 -- Duplication and Diversification
---------------------------------------------
Position 13.7D
9/3
9/8 9/4 -.028
Position 13.11
18/16 5/4
18/15 -.017
18/17 6/4 -.017
Position 13.14
24/18 13/11
24/22 13/7 -.002
13/7 6/4 -.011
13/11 13/7 -.038
Position 13.20
24/18 13/11
24/22 13/7 -.002
24/22 24/18 -.008
13/11 13/7 -.102
Position 13.24
b/21* 5/4
b/21* 6/5 -.034
b/21* 8/7 -.046
Position 13.25A
21/15 10/6
...
10/6 9/3 -.086
Position 13.25B
20/14 10/6
...
9/5 10/4 -.020
Chapter 14 -- When You Are Forced to Leave Shots
------------------------------------------------
Position 14.3
16/11 6/5
16/11 3/2 -.004
16/10 -.022
Position 14.4
8/7 8/2
8/1 -.118
11/4 -.163
Position 14.8
4/o 3/o
4/o 4/1* -.026
Position 14.12
20/18
4/2 -.040
Position 14.15A
8/4
7/3 -.033
Position 14.15B
8/4 6/4
14/8 -.137
7/1* -.207
Chapter 16 -- Safe Play vs. Bold Play
-------------------------------------
Position 16.4
7/6 (what an ugly move)
6/5 -.001
9/8 -.088
Position 16.6
GNU agrees with the main point, don't slot, but
24/23
11/10 -.016
Position 16.7
24/23
11/10 -.016
6/5 -.019
Position 16.9
13/10
8/5* -.129
Position 16.10
13/11 6/5
13/10 -.006
Position 16.14
13/7 6/5
24/18 6/5 -.009
13/6 -.016
Chapter 17 -- Slotting
----------------------
Position 17.2
24/23
11/10 -.016
6/5 -.019
Position 17.8
13/10
24/23 13/11 -.045
24/23 8/6 -.050
8/5 -.095
13/11 6/5 -.118
3/2* 3/1 -.122
13/11 8/7 -.135
Position 17.12
GNU agrees that switching points 4/3*(2) is best but prefers to
play the last 1 as 24/23 rather than 8/7 equity difference -.034.
Position 17.13
6/5
8/7 -.072
Position 17.16A
GNU agrees that slotting 8/7 isn't good but has a slight preference
(.002 equity) for playing 11/10 rather than 6/5.
Position 17.16B
b/22 6/5
b/22 8/7 -.044
Chapter 18 -- Action Play
-------------------------
Position 18.1
9/5 6/5
24/20 6/5 -.021
Position 18.2
24/22 13/7
9/1 -.003
24/18 9/7 -.013
Position 18.3
11/6
23/18 -.170
Position 18.4
8/4 6/5
8/7 8/4 -.007
13/9 6/5 -.024
24/20 6/5 -.037
Position 18.5
10/5 6/5
23/22 10/5 -.096
23/18 6/5 -.149
Chapter 19 -- One Man Back
--------------------------
Position 19.2
11/5 6/5
13/7 8/7 -.098
Position 19.4
13/8 6/5
8/3 6/5 -.011
22/21 6/1* -.012
13/7 -.014
8/7 6/1* -.023
Position 19.5
15/11 13/8
13/9 6/1* -.004
15/11 6/1* -.013
15/10 13/9 -.017
11/7 6/1* -.025
Position 19.10
24/21 13/9
24/20 13/10 -.008
Chapter 20 -- Golden Point
--------------------------
Position 20.1
24/22(2) 6/4(2)
13/11(2) 6/4(2) -.007
24/22 13/11 6/4(2) -.027
24/20(2) -.029
Position 20.5
20/14*
8/2 -.136
Position 20.7
b/16*
b/20 24/20 -.066
Position 20.8
24/20*
8/5 6/5 -.074
Position 20.11
No Double, Take
Double, Take -.052
Chapter 21 -- Splitting
-----------------------
Position 21.1A
13/10 11/10
24/23. 11/8 -.017
13/10 6/5 -.024
Position 21.1B
13/10 11/10
13/10 6/5 -.024
Position 21.4
8/4 6/5
8/7 8/4 -.007
13/9 6/5 -.024
24/20 6/5 -.037
Position 21.12
13/11
24/22 -.060
Chapter 22 -- Doubling Theory
-----------------------------
Position 22.4
GNU believes X is too good to double by a hair.
No Double
Double, pass -.003
(Double, take +.449)
Position 22.5
Double, take
Double, pass +.258
(that is O should take and loses .258 equity by passing)
Chapter 23 -- No Possible Contact
---------------------------------
Only positions 8A and 8B were checked - both OK
Chapter 24 -- Avoiding Contact
------------------------------
Position 24.11
10/5
8/3 -.149
Position 24.15
6/o 2/o
6/o 3/1 -.077
Position 24.24
6/4 6/2*
...
6/2* 4/2 -.017
Position 24.40
8/6 5/1
9/5 8/6 -.211
9/3 -.216
Position 24.42
12/6 11/6
12/1 -.000
12/7 11/5 -.111
Position 24.43
16/10 11/10
16/15 11/5 -.076
16/10 6/5 -.083
16/9 -.087
Position 24.44
18/17*/15
18/17* 6/4 -.002
...
18/16 6/5 -.259
Position 24.46
18/16*/13
...
18/13 -.085
Position 24.47
3/o
6/5 6/4 -.045
Position 24.49
10/4 8/4
7/1* 5/1 -.033
Position 24.52
18/16* 13/8
...
18/11 -.192
Position 24.58
6/3
9/6 -.030
Chapter 25 -- After Contact
---------------------------
Position 25.1
16/13
20/17 -.005
17/14 -.012
Position 25.2
11/9
6/4 -.057
Position 25.5
18/14
16/12 -.046
Position 25.6
18/13
9/4 -.131
Position 25.7
24/22 13/7
13/5 -.069
13/11 13/7 -.118
Position 25.16
20/16 13/7
20/10 -.006
20/14 13/9 -.006
13/7 5/1 -.023
Position 25.17
20/16 19/13
20/10 -.003
20/14 19/15 -.004
19/9 -.006
19/13 5/1 -.022
Position 25.22
13/10 6/1*
19/16 6/1* -.010
13/5 -.013
Chapter 26 -- Priming and Blocking
----------------------------------
Position 26.10
24/22 13/9
24/20 11/9 -.013
13/9 11/9 -.033
Position 26.11A
9/4 8/4
13/9 13/8 -.033
Position 26.12A
24/22(2) 13/11(2)
...
13/9(2) -.126
Position 26.14
14/9 13/8 6/1*(2)
8/3(2) 6/1*(2) -.028
13/8(2) 6/1*(2) -.031
14/9 13/3 8/3 -.073
Position 26.15
6/4 6/3
13/8 -.016
8/3 -.031
13/11 6/3 -.087
Position 26.17
24/18
24/23 11/6 -.048
13/7 -.068
13/8 11/10 -.070
Position 26.18
13/10 5/3*
24/21 5/3* -.029
11/8 5/3* -.046
Chapter 27 -- Control of the Outside
------------------------------------
Position 27.8
8/5
6/3 -.082
Position 27.14
11/7 10/7
24/20 13/10 -.039
Chapter 28 -- Timing
--------------------
Position 28.2
18/13
7/2* -.151
Position 28.4
24/13
24/18 7/2* -.151
Position 28.7
13/8
6/1* -.030
Position 28.9A
6/2 4/1
10/7 10/6 -.117
Position 28.11A
8/6 8/3
...
20/13 -.259
Position 28.14
10/6 4/2
9/5 4/2 -.053
10/6 9/7 -.058
Position 28.15
24/23*
10/9 -.469
Position 28.19
8/6 8/2*
...
8/2* 3/1* -.371
Chapter 29 -- Holding Game and Backgame
---------------------------------------
(only positions 1-9 examined - no backgames)
Position 29.2
24/16(2)
24/20 13/9(2) 8/4 -.026
24/20(2) 13/9(2) -.030
24/20 13/5 13/9 -.033
Position 29.8
13/11 13/7
7/1 3/1 -.042
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