Computer Chess Club Archives


Search

Terms

Messages

Subject: Re: Branching factor, etc

Author: Brian Richardson

Date: 19:50:53 08/29/02

Go up one level in this thread


On August 29, 2002 at 21:24:32, Dann Corbit wrote:

>On August 29, 2002 at 20:40:44, David Hanley wrote:
>
>>Ok, i have my program working and fairly complete--it has all the rules in and
>>plays decent positional chess.  I'm pleased.
>>
>>I implemented all the mechanisms that i think i'm supposed to--nullmove, hash
>>move first, then two killers, then winning static exchange moves sorted by
>>expected material win, then moves sorted by their history score.  I sort moves
>>at the root with each iterative deepening.
>>
>>However, the branching factor seems 'off.' My branching factor seems to vary
>>between 4 and 7.  For example, here's an 8 ply search from the opening position:
>>
>>Score: -53
>>Searched 414821 total nodes
>>Got 114215 hash hits (27 percent hits)
>>There were 240894 quiesce nodes
>>The pawn hash contains 17855 entries
>>Branching factor is 4.522705
>>
>>Here's a 6 ply search a bit later: (white just thought and chose e3)
>>
>>+---+---+---+---+---+---+---+---+
>>| R | N |   | Q | K | B |   | R |
>>+---+---+---+---+---+---+---+---+
>>| P | P | P |   | P | P | P | P |
>>+---+---+---+---+---+---+---+---+
>>|   |   |   |   |   | N |   |   |
>>+---+---+---+---+---+---+---+---+
>>|   |   |   | P |   | B |   |   |
>>+---+---+---+---+---+---+---+---+
>>|   |   |   |*p |   |   |   |   |
>>+---+---+---+---+---+---+---+---+
>>|   |   |*n |   |*p |*n |   |   |
>>+---+---+---+---+---+---+---+---+
>>|*p |*p |*p |   |   |*p |*p |*p |
>>+---+---+---+---+---+---+---+---+
>>|*r |   |*b |*q |*k |*b |   |*r |
>>+---+---+---+---+---+---+---+---+
>>Score: -44
>>Searched 134392 nodes
>>Got 27504 hash hits (20 percent hits)
>>There were 87728 quiesce nodes
>>The pawn hash contains 6098 entries
>>Branching factor is 5.999756
>>
>>
>>I guess i wonder if i'm fussing over nothing.  Or perhaps if my search is broken
>>somehow.  I tried turning off move sorting and launched a search from the
>>opening position.  It seems to indicate to me that the move sorting is having a
>>big positive effect.  Here's a six ply search from the opening position, no move
>>sorting:
>>
>>Score: -55
>>Searched 591677 nodes
>>Got 128337 hash hits (21 percent hits)
>>There were 395070 quiesce nodes
>>The pawn hash contains 31050 entries
>>Branching factor is 7.623291
>>
>>It took more nodes than the 8 ply search with sorting!
>>
>>Maybe i should be happy with my code, but i hear people talking of branching
>>factors like two and three.  So maybe i should look for a bug.
>================================================
>Yace looked at less than ten percent of that many nodes:

Is move sorting turned off in Yace, GLC and Gnu for the depth = 6 searchs?

>================================================
>white ( 1): sd 6
>search depth=6
>white ( 1): go
>usetime = 9999999999.00, mintime = 9999999999.00 maxtime = 9999999999.00 tl
>9999999999.00 ml 0
>         1   0.025   0.27  1t  1.e4 {0}
>        20   0.030   0.27  1.  1.e4 {0}
>        42   0.037   0.00  2t  1.e4 e5 {0}
>       117   0.044   0.00  2.  1.e4 e5 {0}
>       296   0.050   0.19  3t  1.e4 d5 2.Nc3 {0}
>       382   0.057   0.19  3.  1.e4 d5 2.Nc3 {0}
>       917   0.065   0.00  4t  1.e4 d5 2.Nc3 Nf6 {0}
>      2708   0.075   0.00  4.  1.e4 d5 2.Nc3 Nf6 {0}
>      5475   0.088   0.18  5t  1.e4 d5 2.exd5 Qxd5 3.Nc3 Qd4 {0}
>      6798   0.098   0.19  5t+ 1.d4 d5 2.Nc3 Nf6 3.Nf3 {0}
>      6938   0.103   0.19  5t  1.d4 d5 2.Nc3 Nf6H 3.Nf3H {0}
>      9347   0.121   0.19  5.  1.d4 d5 2.Nc3 Nf6 3.Nf3 {0}
>     13968   0.138   0.00  6t  1.d4 d5 2.Nc3 Nf6 3.Nf3 Nc6 {0}
>     34240   0.210   0.00  6.  1.d4 d5 2.Nc3 Nf6 3.Nf3 Nc6 {0}
>     34240   0.214   0.00  6f. 1.d4 d5 2.Nc3 Nf6 3.Nf3 Nc6 {0}
>34240 Nodes, 24.82% Leavenodes, 160000 Nodes/sec
>27160 eval, 58.52% score, 98849 genmoves, 14.28% captures le 95/84
>ext: pawn 0, rcp 26, chk 226, repchk 60, null 0, prune 599
>htable: 28874 store, 0 rejected, 34372 probe, 28.1% f/p, 33.4% f/s
>entries 5416665 age 1 renew 0
>egtb probes 0, found 0 max_depth 14
>white ( 1): d4
>================================================
>GLC-218 shows an even more drastic difference:
>================================================
>>sd 6
>>go
> fen rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1
> Game finished test: 0
>  time limit 10.00 (1 moves left)  max time limit 10.00
> Generating internal KP-K end-game table...
> Done (0.320 secs)
> Game stage: Opening
> Current eval: 0.000
> Ply  Time   Score   Nodes  Principal Variation
>  6   0.02  +0.000    6174  Nf3 Nf6 2. Nc3 Nc6 3. d3 e6
>  6   0.04  +0.000   12970  Nf3 Nf6 2. Nc3 Nc6 3. d3 e6
> local:  t=0.05  nps=259404.0  n=12970 (37.2% / 62.8%)  fh=91.7%
> total:  t=0.05  nps=259404.0  n=12970  draws=0
> trans:  probes=4826  hits=858 (17.78%)  draft=342 (7.09%)
> tcuts:  exact=7 (0.15%)  upper=309 (6.40%)  lower=9 (0.19%)
> tstor:  exact=18 (1.52%)  upper=920 (77.83%)  lower=244 (20.64%)
> ext:  check=25  recap=13  ppush=0  1rep=3  thrt=0
> q-moves:  gen=2712  tested=2040  made/un=941  max-dep=5
> max eval diff:  part-1=0.721  part-2=0.809
> !m Ng1-f3 0 1
>move g1f3
>  time left 10.00
> -> Score=0  PV=Nf3 Nf6 2. Nc3 Nc6 3. d3 e6
> Game finished test: 0
>>
>
>
>
>================================================
>Gnu Chess:
>================================================
>GNU Chess 5.04aTE
>
>Transposition table:  Entries=1024K Size=32768K
>Pawn hash table: Entries=16K Size=1024K
>White (1) : post
>White (1) : book off
>book now off.
>White (1) : sd 6
>Search to a depth of 6
>White (1) : go
>Thinking...
>Root = -35, Phase = 1 Depth = 6
>Ply   Time     Eval      Nodes   Principal-Variation
> 1+   0.01     41         1      Nf3
> 1.   0.02     41        21      Nf3
> 2&   0.02    -10        61      Nf3 Nf6
> 2.   0.04    -10        99      Nf3 Nf6
> 3&   0.04     40       203      Nf3 Nf6 Nc3
> 3.   0.06     40       222      Nf3 Nf6 Nc3
> 4&   0.07    -10       376      Nf3 Nf6 Nc3 Nc6
> 4.   0.08    -10       869      Nf3 Nf6 Nc3 Nc6
> 5&   0.10     29      2001      Nf3 Nf6 Nc3 Nc6 e4
> 5.   0.12     29      3056      Nf3 Nf6 Nc3 Nc6 e4
> 6&   0.14    -10      5771      Nf3 Nf6 Nc3 Nc6 e4 e5
> 6.   0.21    -10     17175      Nf3 Nf6 Nc3 Nc6 e4 e5
>
>Time = 0.2 Rate=83407 Nodes=[15329/1846/17175] GenCnt=19137
>Eval=[4444/7463] RptCnt=0 NullCut=746 FutlCut=2442
>Ext: Chk=203 Recap=25 Pawn=167 OneRep=19 Horz=1 Mate=0 KThrt=19
>Material=[3600/3600 : 4400/4400] Lazy=[177/129] MaxPosnScore=[226/204]
>Hash: Success=25% Collision=6% Pawn=73%
>
>black  KQkq
>r n b q k b n r
>p p p p p p p p
>. . . . . . . .
>. . . . . . . .
>. . . . . . . .
>. . . . . N . .
>P P P P P P P P
>R N B Q K B . R
>
>
>My move is : Nf3
>
>================================================
>Phalanx needs less than 10K nodes:
>================================================
>Depth=6, Value=31, Time=0.18, Last turn=0.00, Nodes=9829, N/s=54605
>PV = Pd2-d4  Pd7-d5  Ng1-f3  Nb8-c6  Pe2-e3  Ng8-f6
>my move is Pd2-d4
>1. ... d2d4
>[ black, 1 ]
>
>================================================
>Genesis:
>================================================
>White(1): bookoff
>opening book off.
>White(1): on
>depth   time  score   variation
>  1->   0.01   0.22   1. d2d4
>                      nodes 21  nps 2100  q 0%  hhits 0%
>  2->   0.02   0.00   1. d2d4 d7d5
>                      nodes 73  nps 7300  q 2%  hhits 1%
>  3->   0.04   0.18   1. d2d4 d7d5 2. g1f3
>                      nodes 204  nps 10200  q 3%  hhits 19%
>  4->   0.08   0.03   1. e2e4 g8f6 2. e4e5 f6e4
>                      nodes 1812  nps 45300  q 18%  hhits 16%
>  5->   0.15   0.17   1. e2e4 e7e5 2. d2d4 d7d5 3. g1f3 d5e4 4. f3e5
>                      nodes 3941  nps 56300  q 24%  hhits 7%
>  6->   0.60   0.01   1. d2d4 d7d5 2. c1e3 g8f6 3. b1c3
>                      nodes 34531  nps 76565  q 27%  hhits 13%
>----------------------------------------------------------
>nodes 40582  time 0.60  nps 67524
>leaf 24179  q 10898  eval 29531
>null 4205  null-cut 2053
>hhits 5205  hexact 2751  hleaves 2751
>hput 7847  hoverwrites 0
>leaves 59%  quiesc 26%  null 10%
>null-cut 65%  aspwin-suc 100%
>hhits 12%  hoverwrites 0%  husage 0%
>White(1): d2d4



This page took 0.01 seconds to execute

Last modified: Thu, 15 Apr 21 08:11:13 -0700

Current Computer Chess Club Forums at Talkchess. This site by Sean Mintz.