2011/07/07

NegaScout with Killer heuristic, History heuristic and Transposition table

NegaScoutはそのアルゴリズムからβ値を変えて同じノードに2度訪れることがある。そこで、killer heuristicあるいはhistory heuristicや、transposition tableが効果的であると予想される。

実際にkiller heuristicとtransposition tableのheuristicをNegaScoutに組み合わせて実験した結果が以下である。(history heuristicはreversiにおいてkiller heuristicほどの効果が出ていなかったため、今回は実験から外した)

末端ノード数
xtabs(node ~ name + depth + test, data=data)
, , test = end40.pos
                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                    0      117      139      866     1278     7055    11826    56216   102936
  killer                      13      117      142      919     1259     8141    11188    71872    90244
  history                     13      117      138      934     1445     9054    14257    68699   140375
  transposition               13      117      139      866     1205     6537     9804    46648    76452
  transposition_killer        13      117      142      919     1220     7559    10179    62101    73378
  transposition_history       13      117      138      934     1329     8091    11475    53604   109842
  negascout                   13      118      150      869     1426     6877    11739    50161        0
  negascout_k                 13      118      141      902     1324     7883    10528    65640    88274
  negascout_t                 13      118      144      825     1217     5736     8835    36378    72029
  negascout_kt                13      118      141      875     1138     7226    10083    53044    73327

, , test = end41.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   30      289      525     4332     6865    55580    78076   795144   637477
  killer                      26      225      351     2338     4463    33890    39953   520238   367350
  history                     30      220      349     2835     6983    37146    98640   919163   794438
  transposition               30      289      466     4044     5159    46822    51639   591896   344524
  transposition_killer        26      225      333     2245     3338    30104    27403   424445   234508
  transposition_history       30      220      319     2724     5744    37691    67072   628915   468730
  negascout                   30      277      498     3942     5522    38672    51316   637813   507317
  negascout_k                 26      205      328     2391     3854    21961    29935   379585   282423
  negascout_t                 30      255      423     3607     4750    34045    33459   504176   278609
  negascout_kt                26      187      325     2184     3832    19717    25478   334212   205353

, , test = end42.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   30      223      338     3747     4063    47325    48221   538729   579236
  killer                      30      116      308     1274     2894    10944    32071   101725   262883
  history                     30      105      371     1151     3980     9421    41376   209558   454887
  transposition               30      223      338     3664     3818    43552    39808   456392   426999
  transposition_killer        30      116      308     1254     2695    10544    26828    93565   197734
  transposition_history       30      105      367     1144     3669     8977    32338   157518   277244
  negascout                   30      177      375     2436     3176    25612    42839   248198   549411
  negascout_k                 30      114      325     1181     2374     8101    27187    64654   213624
  negascout_t                 30      169      351     2638     3081    22922    36559   204722   367558
  negascout_kt                30      114      310     1176     2352     8224    22283    57193   170565

, , test = end43.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   49       77      673     1388    10677    23115   115886   319520  1253254
  killer                      48       66      328     1058     3733    12721    35870   124176   903364
  history                     49       64      333     1005     3720     6941    68929   136484  2786356
  transposition               49       77      667     1245     9939    18804   102284   205934   956383
  transposition_killer        48       66      327      968     3327    10567    29593    88481   661575
  transposition_history       49       64      332      916     3511     6336    63268    83974  2138847
  negascout                   49       64      455     1241     5358    13714    74902   246768  1342957
  negascout_k                 48       59      300      936     3259     8122    34030    82466   697031
  negascout_t                 49       64      452     1121     4794    11178    66526   159512   873095
  negascout_kt                48       59      300     1122     2793     6589    28902    77931   833684

, , test = end44.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   37      208      575     4023     6969    59839    53319   834028   541004
  killer                      31      160      467     2017     4865    23442    35409   238600   357664
  history                     37      133      546     1914     7391    22165    76166   616349  1593877
  transposition               37      208      561     3681     6347    46897    42988   550738   375304
  transposition_killer        31      160      455     1865     4397    19168    27886   176391   233292
  transposition_history       37      133      531     1749     6947    18253    59695   402070   976074
  negascout                   37      163      718     2376     6146    31217    41518   382253   369021
  negascout_k                 31      154      553     1903     4252    19442    32793   193691   250324
  negascout_t                 37      145      661     1978     5712    26938    35992   307232   271322
  negascout_kt                31      134      526     1690     3977    19028    28238   198876   188543

, , test = end45.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   34      370      329     5777     2723    61868    26343   817688   226751
  killer                      24      297      255     4019     2491    47940    25762   660510   266069
  history                     34      316      346     6778     2902    75623    34891   757864   520050
  transposition               34      370      311     5469     2120    52819    16278   626279   111302
  transposition_killer        24      297      241     3900     2035    41268    18864   479841   153268
  transposition_history       34      316      321     6509     2179    69593    18111   568700   268464
  negascout                   34      341      307     5106     2720    48033    26628   663943   243477
  negascout_k                 24      263      246     4243     2446    42004    26254   542838   293315
  negascout_t                 34      350      293     4548     2435    44768    18250   507703   154510
  negascout_kt                24      266      236     3649     2189    39254    24296   414675   204045

, , test = end46.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   25      335      594    10135    11688   124574   152214  1237488  1574325
  killer                      24      254      447     4512     6313    36650    61276   260928   515348
  history                     25      318      406     3577     6068    37323    61844   432780   567664
  transposition               25      335      590     9514    10377   106820   128322   975838  1134359
  transposition_killer        24      254      444     4345     5122    32156    50284   191644   360248
  transposition_history       25      318      403     3334     5533    28162    50656   327399   371485
  negascout                   25      374      485     9812     9666   120794   121581   867828  1146500
  negascout_k                 24      239      412     4179     5676    34681    53114   199289   393103
  negascout_t                 25      346      440     8225     9262    92633   105958   674553   820007
  negascout_kt                24      221      399     4038     5138    34552    50520   157812   320921

, , test = end47.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   47       77      788      843    14354     7810   191791    43789  1106182
  killer                      36       76      640      741     8238     6805   100279    53765   466128
  history                     47       77      596      767    16889    15476   349324   168819   830096
  transposition               47       77      719      607    12686     5073   147481    24796   700526
  transposition_killer        36       76      622      502     7778     3970    84706    25859   329388
  transposition_history       47       77      587      683    14725     6916   233077    40078   447648
  negascout                   47       77      742      709    12574     6465   147226    35518   647303
  negascout_k                 36       76      661      635     7067     6277    95607    39140   374661
  negascout_t                 47       77      735      507    12231     4950   117537    20431   415691
  negascout_kt                36       76      626      454    10148     4509    86232    17140   273479

, , test = end48.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   29      313      470     6681     9337    89444   145149  1129818  1887604
  killer                      28      247      366     3780     6105    33229    64567   458057   844925
  history                     29      254      410     3589     6299    46210   107392   549059  1419914
  transposition               29      313      457     6344     8672    76201   123290   839472  1453216
  transposition_killer        28      247      354     3718     5599    31171    56995   397104   687915
  transposition_history       29      254      397     3449     6113    40535    90263   360566   970608
  negascout                   29      237      487     4048     8711    47471   101834   447611  1157189
  negascout_k                 28      215      426     2508     5893    27912    54901   234412   535168
  negascout_t                 29      225      435     3325     7348    38797    92198   342054   921632
  negascout_kt                28      215      378     2523     5536    23540    57060   212023   430229

, , test = end49.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   34      273      494     2408     6707    20749   125380   310137  1682987
  killer                      34      172      462     1376     6608    13216    81486   255557   524162
  history                     34      228      423     1474     9535    19105   289988   393921  3777028
  transposition               34      273      485     2182     5633    16981    90868   239325   988432
  transposition_killer        34      172      453     1285     5928    11376    72695   200781   423956
  transposition_history       34      228      413     1344     8294    15510   233306   328403  2841075
  negascout                   34      278      539     1791     6544    15755   119662   171897  1286707
  negascout_k                 34      178      556     1283     7316    10730    84280   187484   469384
  negascout_t                 34      253      526     1578     5643    12621    96787   130468   741520
  negascout_kt                34      170      523     1182     7096     9134    93741   147926   399412

, , test = end50.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   33      452      626    15963    10816   534240   202532 25385511  3547451
  killer                      33      435      539     7796     8119    83069   113527  1832744  1494987
  history                     33      451      593     8706     6781    92923   143691  2292800  3743392
  transposition               33      452      609    14679     9222   432283   148792        0  2010526
  transposition_killer        33      435      515     7315     6826    71301    81404  1311352   920816
  transposition_history       33      451      566     8326     5375    79616   108243  1532784  1562466
  negascout                   33      323      675    12049    10445   311521   165628  8331136  2730443
  negascout_k                 33      307      540     5224     6775    77991    95550  1070570  1200398
  negascout_t                 33      323      604    10528     8292   248164   121633        0  1549757
  negascout_kt                33      307      511     5195     5647    71885    70762   877446   783511

, , test = end51.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   59      183     1160     2032    31843    24937   479486   347731 11632682
  killer                      59      161      774     1868    11697    19841    98216   262291  1104365
  history                     59      169      736     1870    19981    31994   360828   604427  4472669
  transposition               59      183     1149     1959    29411    22011   405309   266596        0
  transposition_killer        59      161      763     1780    11206    16255    86046   164997   892147
  transposition_history       59      169      724     1764    20090    25715   285860   409513  3386776
  negascout                   59      202     1030     1938    19853    24097   375925   327750  8490980
  negascout_k                 59      155      712     1635     9593    20397    82927   222009   969788
  negascout_t                 59      205     1005     2013    18482    20749   303961   247261        0
  negascout_kt                59      145      661     1583     9301    19182    81196   146625   912394

, , test = end52.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   63      204      992     1946     6498    22494    94032   247170  1771168
  killer                      37      196      393     1637     3956    18064    49810   179793   852766
  history                     63      161      544     1866     8367    22680    98793   295964  2455819
  transposition               63      204      972     1850     5734    18459    74058   178937  1250059
  transposition_killer        37      196      391     1572     3598    14539    43911   127181   674720
  transposition_history       63      161      538     1591     8070    17767    79829   180651  1630442
  negascout                   63      180      902     1709     5654    19288    81468   195141  1277140
  negascout_k                 37      162      353     1527     3548    16149    44295   148178   676770
  negascout_t                 63      173      860     1687     4917    15049    67976   134405   922381
  negascout_kt                37      163      327     1608     3252    13121    47402   111351   550509

, , test = end53.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   43      350     1214    11389    29471   576664   332677 41483269  4314728
  killer                      35      279      735     5006    13370    40594   178650   445833  1754219
  history                     43      355     1110     5428    13158   124141   372892  1367582  5578264
  transposition               43      350     1155    10658    25134   433393   269960        0  3066676
  transposition_killer        35      279      700     4723    11054    34225   146314   318687        0
  transposition_history       43      355     1076     5134    11771    99584   292184   974032  3880547
  negascout                   43      349     1278    10972    25288   247619   274617 10298036  3186665
  negascout_k                 35      279      855     4318    11674    31320   158313   327077  1444664
  negascout_t                 43      320     1146    10194    22327   204413   250846        0  2293979
  negascout_kt                35      271      782     4716    10903    29281   164489   260376  1312628

, , test = end54.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   23      239      586     2323    14222    22906   211911   292473  2569049
  killer                      24      246      315     2388     4067    18566    45106   291315   470461
  history                     23      220      373     1817     4789    17893    72521   359292   715648
  transposition               23      239      577     2249    12567    20147   162326   227775  1645949
  transposition_killer        24      246      314     2317     3530    15654    36506   223254   325445
  transposition_history       23      220      371     1746     4416    15349    66466   234062   551696
  negascout                   23      216      371     2194     5870    26600    92194   287651   927408
  negascout_k                 24      189      262     1950     2957    22626    34695   273318   345191
  negascout_t                 23      216      371     2066     5222    20270    70386   218128   615772
  negascout_kt                24      181      261     1593     2659    18939    27884   212148   244200

, , test = end55.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   49      322      841     5657    20688    82789   223240  1981849  3913589
  killer                      46      296      766     4125    13649    46313   163901   722587  2040108
  history                     49      265      943     5640    30422    69445   397639  1603105  6168796
  transposition               49      322      819     5260    19080    63943   191773  1264255  3028256
  transposition_killer        46      296      751     3776    12423    35688   137594   510299  1341651
  transposition_history       49      265      939     5320    27967    57095   365209  1070158  4059380
  negascout                   49      295      857     4616    20627    59091   189197  1009661  3447413
  negascout_k                 46      281      784     3663    12208    42926   157864   535946  1913433
  negascout_t                 49      290      782     3765    19311    49978   174816   684694  2790214
  negascout_kt                46      281      743     3258    13625    42493   152997   394130  1709642

, , test = end56.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   56      148     1532     2013    26438    37070   373227   380459  7594219
  killer                      54      121      850     1636     6337    21764    72508   233316  2472901
  history                     56      119      894     1550     7353    39741   141838   388380  5768474
  transposition               56      148     1481     1863    22952    30839   296251   272832  5006864
  transposition_killer        54      121      841     1558     5298    18056    53975   167074  1628893
  transposition_history       56      119      891     1418     6018    32654   113206   310646  4946440
  negascout                   56      120     1326     1596    14771    21502   222253   230785  6013316
  negascout_k                 54      111      825     1349     5028    14212    63928   147220  1852309
  negascout_t                 56      120     1226     1463    12164    18036   180860   163746  4371241
  negascout_kt                54      111      768     1262     3992    11816    48671   105271  1901167

, , test = end57.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   38      289      458     5651     4485   107143    44017  1887772   575659
  killer                      37      180      423     3213     4357    26746    40364   298000   527039
  history                     38      235      576     3640     5982    46710    64018   938145  2003176
  transposition               38      289      457     5310     4152    94560    37778  1516325   421555
  transposition_killer        37      180      416     3134     4193    23936    36344   255174   390780
  transposition_history       38      235      554     3579     5387    40223    54459   711127  1758121
  negascout                   38      237      507     4475     4477    61001    30822   849439   392082
  negascout_k                 37      161      480     2561     4497    16136    32622   163275   394994
  negascout_t                 38      237      496     4291     4445    52345    31573   716148   306181
  negascout_kt                37      161      451     2463     4398    15841    36980   157818   383875

, , test = end58.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   55      828      904    15508    15619   238957   206252  3275672  2451690
  killer                      55      428      848     5153    12740    69276   167306   908990  1931340
  history                     55      360      871     5269    12378    96896   172737  2948327  6144882
  transposition               55      828      901    14500    14000   202472   160207  2516306  1623764
  transposition_killer        55      428      843     4941    10983    62908   118411   682704  1193542
  transposition_history       55      360      862     4967    10597    81042   118137  2254222  3507519
  negascout                   55      547      863    14095    16348   194209   211595  2727903  2286834
  negascout_k                 55      407      830     4674    13645    56220   170146   811251  1984559
  negascout_t                 55      498      847    11013    16801   159529   187444  2205883  1854687
  negascout_kt                55      323      821     4154    15337    53196   183057   755832  1836974

, , test = end59.pos

                       depth
name                           2        3        4        5        6        7        8        9       10
  negaalpha                   18      240      210     3747     2592    63628    31206   690918   271286
  killer                      18      230      203     2750     2370    46393    26761   386843   229761
  history                     18      246      166     2618     2264    34901    27709   373796   350067
  transposition               18      240      205     3646     2248    59270    24330   552747   180116
  transposition_killer        18      230      198     2704     2127    42624    22069   317663   162933
  transposition_history       18      246      164     2575     2062    30880    22591   292021   270288
  negascout                   18      214      209     2844     2643    58239    30403  1008983   216835
  negascout_k                 18      197      205     2070     2262    36733    23426   345174   193849
  negascout_t                 18      217      204     2730     2126    46808    21839   489119   134627
  negascout_kt                18      208      199     1969     2081    33587    19116   256418   137030

中間ノード数
xtabs(inode ~ name + depth + test, data=data)
, , test = end40.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                   0      23     132     223    1302    2082   11920   19422  101474
  killer                     11      23     130     224    1277    2145   11654   21362  101178
  history                    11      23     126     232    1459    2393   14724   22043  149215
  transposition              11      23     132     223    1302    2014   11056   17262   83852
  transposition_killer       11      23     130     224    1277    2076   11283   19434   89130
  transposition_history      11      23     126     232    1430    2282   13122   19003  129201
  negascout                  11      25     146     228    1486    2075   12348   17988       0
  negascout_k                11      25     136     229    1365    2139   11491   19991   99489
  negascout_t                11      25     144     228    1345    1922    9857   14867   78863
  negascout_kt               11      25     136     229    1257    2011   11958   17234   87156

, , test = end41.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  11      71     190    1358    2769   20464   33119  330680  308137
  killer                     11      65     173     955    2255   15048   22970  258629  208052
  history                    11      65     154     973    2849   14941   41311  418687  389117
  transposition              11      71     190    1342    2338   18670   24754  274772  193663
  transposition_killer       11      65     173     950    1988   14241   17837  226416  146928
  transposition_history      11      65     154     956    2592   16133   30591  323616  250751
  negascout                  11      99     187    1437    2399   15724   23784  276227  263413
  negascout_k                11      81     171    1109    1951   11428   16272  209894  169736
  negascout_t                11      99     187    1464    2427   14722   17715  260280  178906
  negascout_kt               11      80     171    1067    2238   10939   14737  215444  136676

, , test = end42.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  10      49     189     979    2491   13889   31707  177559  386552
  killer                     10      36     178     507    2170    4439   26028   41839  216051
  history                    10      33     197     433    2504    3419   27266   72808  292881
  transposition              10      49     189     979    2446   13410   28756  161727  318723
  transposition_killer       10      36     178     507    2151    4327   24560   39885  179452
  transposition_history      10      33     197     433    2439    3369   23601   56543  213037
  negascout                  10      59     221     933    2237    9461   30490   93282  386576
  negascout_k                10      46     193     579    1931    3864   23020   29194  181507
  negascout_t                10      59     222    1011    2311    9476   27946   84480  286373
  negascout_kt               10      46     197     590    2012    4532   20312   27993  158697

, , test = end43.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                   7      36     141     729    2416   14067   33387  210205  432483
  killer                      7      31     103     679    1186    8853   12428   99661  294090
  history                     7      31      96     547    1151    4389   22344   79647  983657
  transposition               7      36     141     712    2306   12718   30813  157759  353273
  transposition_killer        7      31     103     674    1118    8033   11066   80444  235159
  transposition_history       7      31      96     546    1124    4177   21464   61819  830486
  negascout                   7      36     137     817    1623    9972   23253  175405  490033
  negascout_k                 7      31     110     662    1038    6449   10930   71533  227741
  negascout_t                 7      36     137     847    1515    9055   21982  133849  335105
  negascout_kt                7      31     110     815     946    5840    9931   78039  271967

, , test = end44.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  11      50     252    1181    3143   22079   25069  357369  260561
  killer                     11      43     206     684    2595    9517   20997  108323  193208
  history                    11      41     242     640    3245    8155   30682  213433  655351
  transposition              11      50     252    1145    3017   19176   21720  268827  195301
  transposition_killer       11      43     206     668    2429    8714   17319   87938  130218
  transposition_history      11      41     242     630    3287    7452   25639  156206  446432
  negascout                  11      56     289    1066    2970   16492   22113  202603  199765
  negascout_k                11      47     238     682    2221    9250   20116  100449  145518
  negascout_t                11      52     289    1005    2982   14577   19810  172924  150666
  negascout_kt               11      43     255     736    2183    9696   17478  104399  109212

, , test = end45.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  15      56     251    1126    2685   14361   27310  231821  251247
  killer                     15      50     250     823    2683   11012   29122  192413  311528
  history                    15      51     263    1324    2927   17418   32372  219100  476012
  transposition              15      56     251    1108    2581   12989   22014  193510  153634
  transposition_killer       15      50     250     811    2578   10220   25024  155175  214397
  transposition_history      15      51     263    1307    2461   16894   20606  181770  277657
  negascout                  15      69     244    1148    2709   11993   28158  196678  275525
  negascout_k                15      63     242     998    2675   10515   30380  159167  345525
  negascout_t                15      69     244    1099    2825   12641   23895  169888  201339
  negascout_kt               15      63     242     950    2745   11038   31767  149743  277033

, , test = end46.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  13      64     287    2781    5602   42850   69816  480548  668693
  killer                     13      64     253    1570    3511   15919   33491  119357  267745
  history                    13      63     238    1189    3243   15427   33061  188180  259193
  transposition              13      64     287    2693    5307   39092   63734  412848  532736
  transposition_killer       13      64     253    1556    3368   15200   30485  102300  214233
  transposition_history      13      63     238    1172    3127   13558   30607  153539  190467
  negascout                  13      85     283    3247    5509   45549   60467  352518  506864
  negascout_k                13      80     238    1790    3208   16933   30125   93203  198553
  negascout_t                13      85     259    3102    5496   38485   53279  307404  383787
  negascout_kt               13      70     237    1962    3074   17963   28074   95152  170354

, , test = end47.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                   9      23     220     241    4855    3056   66266   18290  454535
  killer                      9      23     217     219    2781    2550   38654   20258  220209
  history                     9      23     171     234    4742    4701   95903   59810  311353
  transposition               9      23     220     212    4504    2274   55227   12105  320144
  transposition_killer        9      23     217     191    2682    1897   34136   12846  157673
  transposition_history       9      23     171     220    4395    2772   71804   17183  192655
  negascout                   9      23     233     242    4412    2907   50354   16539  265864
  negascout_k                 9      23     237     218    2495    2557   35508   14928  170292
  negascout_t                 9      23     253     213    4536    2650   44470   11196  189768
  negascout_kt                9      23     236     196    3402    2486   32863    9442  131268

, , test = end48.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  14      51     256    1412    5112   24048   84987  340659 1073904
  killer                     14      46     244     910    4105    9107   47252  131084  633594
  history                    14      46     223     758    3879   11629   78476  149146  943794
  transposition              14      51     256    1388    5037   22269   78095  280424  908420
  transposition_killer       14      46     244     903    4026    8801   45263  119865  563727
  transposition_history      14      46     223     762    3947   10581   70156  111085  718975
  negascout                  14      54     269    1162    4806   15760   57034  161902  590192
  negascout_k                14      48     268     748    3740    8510   40008   78939  392969
  negascout_t                14      53     246    1094    4298   14212   54275  136782  508642
  negascout_kt               14      48     245     807    3636    7758   41386   76328  347276

, , test = end49.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                   9      67     150     752    2270    7504   48272  143403  765326
  killer                      9      59     144     477    1901    5223   30264  102848  217404
  history                     9      60     135     503    2924    7809  118261  119874 1848428
  transposition               9      67     150     740    2040    6896   39485  120556  505251
  transposition_killer        9      59     144     476    1765    4570   28182   83716  186957
  transposition_history       9      60     135     500    2646    6731  101971  110958 1535764
  negascout                   9      87     175     665    2430    6695   50796   96831  633869
  negascout_k                 9      76     170     487    2145    5294   30454   89221  199667
  negascout_t                 9      87     174     656    2332    6067   45934   82621  411842
  negascout_kt                9      74     173     486    2280    4719   35268   76532  185430

, , test = end50.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  16      58     357    2672    6816   93930  136456 4671517 2599972
  killer                     16      59     331    1614    6011   19287   93077  426838 1378214
  history                    16      58     344    1401    4578   18560   97150  487473 2689349
  transposition              16      58     357    2596    6376   82047  113643       0 1729700
  transposition_killer       16      59     331    1580    5750   16970   78209  329649 1004435
  transposition_history      16      58     344    1372    4142   16342   86405  374834 1379372
  negascout                  16      58     381    2252    6548   61806  113884 1698516 2008267
  negascout_k                16      59     318    1260    4729   18750   74147  278057 1047587
  negascout_t                16      58     367    2221    5535   53573   90114       0 1304914
  negascout_kt               16      59     319    1399    4528   17254   60574  237079  790573

, , test = end51.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  11      41     305     607    8116    8323  127095  123004 3162709
  killer                     11      40     261     585    4977    6704   45981   84988  531179
  history                    11      40     237     539    5938    8594  108244  161915 1554607
  transposition              11      41     305     604    7878    7887  114842  103380       0
  transposition_killer       11      40     261     577    4947    6289   41670   63936  447004
  transposition_history      11      40     237     540    6099    7530   92977  119700 1286432
  negascout                  11      52     300     652    5511    8643  101866  120491 2358758
  negascout_k                11      51     272     577    3892    6765   42186   76838  473081
  negascout_t                11      52     298     751    5326    9104   90639  110583       0
  negascout_kt               11      51     262     579    3906    8330   40806   69717  430606

, , test = end52.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  11      50     273     686    2085    8728   30754  101885  621643
  killer                     11      50     185     582    2069    6713   24692   72808  439507
  history                    11      41     191     575    2701    8574   42812  119296 1197099
  transposition              11      50     273     683    1990    7929   26376   83348  481590
  transposition_killer       11      50     185     579    1940    6214   22853   60167  383624
  transposition_history      11      41     191     552    2649    7669   37026   90012  861339
  negascout                  11      59     253     683    1842    8098   26735   85174  439938
  negascout_k                11      50     168     640    1745    7181   21864   71238  303779
  negascout_t                11      59     253     709    1704    7328   24112   69626  346116
  negascout_kt               11      50     168     670    1638    6773   22229   62285  266658

, , test = end53.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  12      73     358    2355    8971  114961  116264 8171951 1741812
  killer                     12      69     277    1676    4757   16050   69987  188570  737723
  history                    12      74     336    1520    4077   33617  120077  426351 1823453
  transposition              12      73     358    2299    8316   96981   98945       0 1336562
  transposition_killer       12      69     277    1664    4282   14436   59054  148803       0
  transposition_history      12      74     336    1503    3764   30845  100164  339884 1392543
  negascout                  12      89     346    2509    7090   55204   88090 2234507 1190850
  negascout_k                12      86     308    1784    4077   13542   59671  148293  549581
  negascout_t                12      88     319    2624    6861   52306   86502       0  961771
  negascout_kt               12      84     283    2052    4077   15441   58487  147603  537028

, , test = end54.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  11      44     251     509    5509    6265   84666   81824 1087544
  killer                     11      47     212     515    3260    5208   39655   79360  459352
  history                    11      43     201     403    3167    5601   55730   98584  649170
  transposition              11      44     251     502    5345    5925   73592   70011  799366
  transposition_killer       11      47     212     508    3038    4918   34549   68033  347819
  transposition_history      11      43     201     396    3046    5189   56432   75542  562014
  negascout                  11      50     175     531    2409    7285   37752   83641  392862
  negascout_k                11      52     179     490    2438    6557   31799   79308  340974
  negascout_t                11      50     175     514    2314    6773   33036   73678  301036
  negascout_kt               11      51     179     427    2273    6603   28324   71890  267328

, , test = end55.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  15      55     350    1157    8782   22308  105781  679500 1821915
  killer                     15      51     351     883    6394   11781   89365  212535 1060256
  history                    15      48     364    1105   11729   17002  152102  395372 2313536
  transposition              15      55     350    1123    8537   18749   95701  481705 1512281
  transposition_killer       15      51     351     860    6183   10078   81359  169999  764746
  transposition_history      15      48     364    1086   11182   15560  144906  303851 1702475
  negascout                  15      65     404    1248    9188   19798   92140  392794 1662603
  negascout_k                15      61     358     953    5513   12038   80770  157799  951606
  negascout_t                15      65     408    1148    9117   17778   87351  304024 1364431
  negascout_kt               15      61     360     905    6644   12260   78871  147038  837889

, , test = end56.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  10      45     291     818    5578   18199   87632  204781 1867631
  killer                     10      37     232     601    2333   11424   30004  137397  723001
  history                    10      37     220     540    2467   15428   46501  188916 1547089
  transposition              10      45     291     798    5139   16721   76070  170540 1375443
  transposition_killer       10      37     232     594    2109   10852   25703  113358  546719
  transposition_history      10      37     220     535    2267   14395   40969  170735 1531471
  negascout                  10      45     311     757    3912   12865   57796  140488 1530114
  negascout_k                10      37     252     541    2067    8742   25142   94894  492491
  negascout_t                10      45     317     742    3509   12036   51373  113677 1235365
  negascout_kt               10      37     247     534    1841    8398   21623   80730  545025

, , test = end57.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                   9      52     167    1505    1911   28647   21516  508303  278772
  killer                      9      38     157    1099    1810   11010   20162  133774  228099
  history                     9      43     180    1034    2252   15430   24730  299690  819951
  transposition               9      52     167    1489    1839   26910   19685  441559  225046
  transposition_killer        9      38     157    1091    1759   10486   18706  119673  180604
  transposition_history       9      43     180    1034    2100   14203   22601  255452  777106
  negascout                   9      52     173    1432    1739   19135   13780  285120  168055
  negascout_k                 9      38     175    1049    1675    7488   14165   98433  164247
  negascout_t                 9      52     173    1530    1940   17446   14387  266146  140052
  negascout_kt                9      38     172    1163    1844    7637   15122  104688  154033

, , test = end58.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  14     143     290    3752    5514   67974   75689 1003094  917040
  killer                     14      92     260    1546    3845   24402   48328  339857  558328
  history                    14      72     291    1302    3589   25256   46011  855329 2108334
  transposition              14     143     290    3694    5233   62057   63898  824784  683281
  transposition_killer       14      92     260    1540    3691   22275   39526  269293  403325
  transposition_history      14      72     291    1288    3325   22302   37021  707513 1441550
  negascout                  14     172     303    4253    6287   61713   81874  882182  893434
  negascout_k                14     111     262    1723    3872   25178   44528  357158  573485
  negascout_t                14     172     303    3644    6467   55475   71662  784289  733810
  negascout_kt               14      98     262    1657    4426   23251   49307  364851  532404

, , test = end59.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                  12      40     192     735    2643   14452   34055  168657  293835
  killer                     12      41     190     619    2562   11258   30369   91581  261650
  history                    12      40     150     632    2374    9362   27668   98848  280713
  transposition              12      40     192     730    2529   13938   29340  144037  224385
  transposition_killer       12      41     190     617    2485   10738   27459   80502  208024
  transposition_history      12      40     150     630    2300    8735   25211   83533  255873
  negascout                  12      46     199     653    2777   14461   34540  261477  252083
  negascout_k                12      47     197     541    2509    9757   27143   89008  225199
  negascout_t                12      46     199     644    2475   12611   27142  141370  173857
  negascout_kt               12      47     197     539    2396    9869   24011   73875  177330

実行時間
xtabs(time ~ name + depth + test, data=data)
, , test = end40.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                   0     279     472     813    1201    1944    4887    9171   31487
  killer                    149     296     485     784    1236    1990    4838    9956   30126
  history                   154     268     467     736    1267    2098    5797    9748   45530
  transposition             155     282     471     724    1227    1889    4994    7864   26056
  transposition_killer      153     286     491     769    1308    2069    4930    9330   27286
  transposition_history     152     285     480     791    1387    2221    5498    8998   44440
  negascout                 146     290     496     725    1261    1963    5291    8146       0
  negascout_k               162     294     495     725    1244    1993    4737    9275   29403
  negascout_t               181     301     496     709    1262    1836    4309    6832   24828
  negascout_kt              160     299     507     761    1249    1994    5221    8312   27056

, , test = end41.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 173     449     610    1692    2089   10683   13632  143450  107279
  killer                    173     442     586    1356    1871    8100    9828  109400   74397
  history                   160     422     530    1329    2160    7870   16957  171294  131549
  transposition             176     463     622    1665    1951    9747   10348  116878   66313
  transposition_killer      172     483     596    1435    1740    7763    7854   94940   52573
  transposition_history     185     450     581    1485    2220    8896   13456  136463  110766
  negascout                 173     496     605    1667    1977    8624   10067  120363   95956
  negascout_k               174     463     578    1429    1749    6304    7540   86696   59828
  negascout_t               173     508     604    1633    1961    7853    7756  108516   60461
  negascout_kt              178     473     591    1433    1909    6113    6932   88807   48840

, , test = end42.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 166     405     576    1494    1835    8446   12419   86336  128649
  killer                    171     345     570    1071    1672    3344   10153   20727   70409
  history                   159     317     586     919    1839    2827   10575   34222   94164
  transposition             173     409     588    1533    1890    8265   11042   78897  103576
  transposition_killer      176     354     594    1052    1822    3323    9525   19521   58445
  transposition_history     167     331     627     977    2041    2983    9858   28640   80609
  negascout                 167     424     645    1352    1731    6502   11983   44883  124855
  negascout_k               172     374     597    1037    1587    2970    9065   14075   58752
  negascout_t               170     423     623    1444    1761    5906   10800   40040   93727
  negascout_kt              175     384     606    1066    1679    3370    8448   13988   51949

, , test = end43.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 173     316     612    1247    2181    7611   15773   97968  169137
  killer                    185     309     512    1116    1489    5327    6604   44159  121802
  history                   158     294     478     965    1399    3117   10654   37228  364094
  transposition             183     328     610    1136    2198    7097   14636   68377  137943
  transposition_killer      184     316     520    1107    1470    4954    6029   35510   98219
  transposition_history     185     308     516    1055    1514    3174   10754   28169  359052
  negascout                 177     316     553    1149    1696    6324   11723   83606  186748
  negascout_k               183     332     541    1080    1391    4197    6140   32211   93706
  negascout_t               184     326     603    1165    1729    5298   10554   58282  131350
  negascout_kt              190     313     544    1231    1365    4115    5665   34501  117310

, , test = end44.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 190     379     702    1529    2389   11320   11888  153310  105496
  killer                    189     359     660    1218    2107    5672    9905   47811   78371
  history                   176     336     673    1127    2514    4946   14874   94093  271368
  transposition             195     389     711    1533    2426    9897   10356  111516   77421
  transposition_killer      194     366     666    1172    2123    5222    8209   37994   53031
  transposition_history     194     351     719    1153    2712    4780   12932   71112  211404
  negascout                 189     388     750    1338    2393    8659   10858   85144   80372
  negascout_k               196     370     702    1166    1941    5401    9315   43392   57375
  negascout_t               193     396     757    1315    2350    7564    9461   71131   60152
  negascout_kt              191     366     729    1193    1988    5652    8475   44551   44293

, , test = end45.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 204     443     654    1749    1950    8403   12390  103386   98525
  killer                    200     424     662    1489    1971    6783   12650   88328  111953
  history                   191     395     668    1732    2061    9696   13983   96618  173117
  transposition             209     441     657    1628    1859    7653    8951   87273   52642
  transposition_killer      202     425     679    1407    1939    6455   10638   70843   74892
  transposition_history     208     430     697    1850    2026   10166    9000   85703  107569
  negascout                 204     457     634    1568    1974    7181   12158   87261   99123
  negascout_k               208     444     658    1469    1980    6405   12799   71853  120692
  negascout_t               213     472     648    1536    2033    7233    9805   73823   69151
  negascout_kt              205     451     674    1441    2050    6774   13111   66399   96151

, , test = end46.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 191     444     744    2468    3732   18278   33908  178646  322917
  killer                    197     432     712    1646    2809    7517   17048   47842  122559
  history                   188     422     653    1429    2597    7357   16906   70515  116225
  transposition             199     470     755    2309    3714   16834   30863  157784  241775
  transposition_killer      200     450     732    1697    2698    7241   15454   39206   94981
  transposition_history     197     452     707    1573    2714    6771   16128   59818   96247
  negascout                 193     484     741    2420    3799   19658   29535  132102  231939
  negascout_k               200     457     697    1710    2632    7765   15340   36120   89377
  negascout_t               205     524     710    2343    3764   16092   25815  113883  172976
  negascout_kt              219     456     705    1829    2637    8310   14298   35768   76634

, , test = end47.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 183     268     711     755    3420    2343   32273    9206  207272
  killer                    191     269     707     706    2460    2154   19588   10158   95632
  history                   180     254     609     705    3552    3283   48855   26540  136188
  transposition             192     265     704     699    3293    1904   26653    6029  134247
  transposition_killer      191     276     714     642    2497    1782   17311    6317   68326
  transposition_history     206     272     655     713    3627    2361   37764    8389   94987
  negascout                 189     277     708     704    3187    2443   25664    7825  138700
  negascout_k               185     274     739     687    2312    2133   17950    7385   72540
  negascout_t               195     270     758     667    3258    2127   21355    5521   78977
  negascout_kt              189     280     740     647    2957    2105   16781    4966   56960

, , test = end48.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 195     424     669    1988    2964   14853   32306  186216  391341
  killer                    195     409     673    1479    2640    6153   17910   71020  216746
  history                   180     383     615    1313    2473    7780   27533   79128  327419
  transposition             191     439     679    1951    3026   13533   28723  144681  315593
  transposition_killer      193     413     668    1538    2691    6110   17209   64097  194951
  transposition_history     196     423     659    1463    2730    7617   25916   60381  282573
  negascout                 188     425     682    1623    2927    9997   21834   80545  213768
  negascout_k               194     418     698    1286    2544    5719   15166   39882  134581
  negascout_t               193     422     676    1549    2749    8907   20961   67341  184257
  negascout_kt              197     417     719    1388    2550    5398   16376   39458  120786

, , test = end49.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 178     442     595    1307    2204    4635   23294   62160  319660
  killer                    184     425     596    1009    2095    3835   15660   49073   96031
  history                   169     410     563     991    2467    4882   52347   55957  738070
  transposition             178     454     616    1240    2061    4322   18909   51320  207842
  transposition_killer      189     426     605     998    2005    3401   15144   38496   83294
  transposition_history     179     438     601    1022    2532    4520   46944   52960  710784
  negascout                 176     486     627    1114    2289    4473   24078   41946  264479
  negascout_k               187     460     650    1005    2166    3613   15768   39655   88779
  negascout_t               179     501     638    1105    2223    3883   21157   34196  168660
  negascout_kt              195     475     660    1010    2344    3393   18102   33940   83500

, , test = end50.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 200     485     751    2827    3720   55758   50671 2491893  931608
  killer                    210     492     752    2131    3410   12013   35261  227140  474763
  history                   195     441     716    1895    2772   11375   35854  246142  922977
  transposition             217     478     766    2794    3542   47966   41393       0  575047
  transposition_killer      211     485     758    2054    3335   10757   29008  174299  341710
  transposition_history     204     485     785    1980    2708   10894   31205  193935  512147
  negascout                 204     442     826    2346    3672   36083   45100  905580  693858
  negascout_k               211     455     753    1726    2984   11536   28311  140752  364351
  negascout_t               207     460     784    2383    3266   30463   33674       0  443437
  negascout_kt              213     464     761    1830    2905   10904   22865  121707  272435

, , test = end51.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 212     362     837    1201    5664    5245   69571   57538 1688834
  killer                    214     358     799    1202    3707    4492   27389   41321  243976
  history                   195     361     689    1064    4276    5464   55629   77957  840714
  transposition             213     375     848    1334    5527    5086   62287   48701       0
  transposition_killer      221     376     812    1242    3733    4290   21390   30226  205549
  transposition_history     223     368     760    1127    4745    5133   50674   60370  775909
  negascout                 211     399     822    1149    4117    5536   55090   56954 1165039
  negascout_k               214     387     800    1084    3100    4517   24468   36420  211630
  negascout_t               211     410     856    1231    4000    5573   47679   50778       0
  negascout_kt              218     393     788    1102    3167    5198   20978   32365  200718

, , test = end52.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 198     414     756    1247    1937    6062   14808   54985  260111
  killer                    194     417     623    1139    1849    5101   11592   40707  170471
  history                   186     353     610    1090    2331    5982   18558   64198  447542
  transposition             200     408     771    1331    1928    5629   12989   43926  200285
  transposition_killer      197     417     647    1163    1824    4646   10925   32587  149735
  transposition_history     203     377     658    1134    2521    5580   17178   49029  374971
  negascout                 206     432     737    1185    1827    5641   13071   45879  195934
  negascout_k               193     406     613    1167    1692    5179   10211   39142  122034
  negascout_t               207     428     750    1216    1771    5144   11997   36647  144741
  negascout_kt              196     421     611    1232    1729    4937   11026   33539  109840

, , test = end53.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 212     461     863    2485    5738   67904   57590 4345872  790559
  killer                    210     455     779    1885    3680    9357   36045   94305  342322
  history                   198     450     841    1740    3292   18286   59906  210539  848386
  transposition             213     482     895    2461    5426   53619   48650       0  607965
  transposition_killer      215     469     812    1894    3418    8434   30114   70209       0
  transposition_history     214     491     903    1898    3297   17306   52562  169035  757692
  negascout                 210     500     901    2407    4884   31277   44704 1201767  553896
  negascout_k               210     505     837    1891    3298    7955   30283   69314  262176
  negascout_t               211     528     878    2504    4764   28718   43612       0  443394
  negascout_kt              214     504     828    2102    3293    8745   30791   67698  253523

, , test = end54.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 188     395     710    1103    3626    4524   38123   44213  457657
  killer                    190     409     649    1205    2527    4020   18607   42947  188959
  history                   176     372     623     943    2492    3984   25835   50882  272092
  transposition             188     393     729    1155    3566    4339   33159   35897  335481
  transposition_killer      188     418     659    1165    2431    3885   16170   35659  160509
  transposition_history     186     393     669     996    2670    3944   26757   40295  265733
  negascout                 191     401     621    1095    2191    5277   18367   45771  168647
  negascout_k               190     417     607    1066    2069    4777   15367   41653  145154
  negascout_t               186     423     623    1089    2153    4653   15757   36421  126648
  negascout_kt              193     429     626    1016    2078    4743   13757   37260  112983

, , test = end55.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 228     446     843    1690    5587   12700   51784  318298  842304
  killer                    229     451     843    1505    4559    7560   43926  107064  501104
  history                   213     388     833    1578    7407    9879   76901  197943 1131108
  transposition             228     440     837    1741    5498   10754   46958  225456  702885
  transposition_killer      241     430     860    1442    4437    6468   39790   83033  397591
  transposition_history     232     413     919    1718    7493    9449   77771  156008  922494
  negascout                 228     451     867    1625    5865   11516   47866  191687  776131
  negascout_k               229     452     879    1466    3990    7497   39249   79331  440569
  negascout_t               232     468     887    1541    5690    9876   42431  138889  635360
  negascout_kt              236     464     881    1455    4697    7738   38621   71558  397801

, , test = end56.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 202     373     861    1330    4255   11085   48370   99938  945029
  killer                    213     351     783    1130    2274    7082   15962   67068  363159
  history                   187     336     704    1005    2289    8976   24629   89861  761428
  transposition             206     379     875    1371    4029    9714   41064   81146  689591
  transposition_killer      216     364     775    1168    2232    6592   13460   53590  296338
  transposition_history     211     355     776    1065    2321    8685   22177   82144  842391
  negascout                 201     366     849    1204    3260    8014   31708   69252  806823
  negascout_k               206     354     780    1057    2095    5503   13382   45388  247042
  negascout_t               207     373     862    1199    2960    7195   27368   53603  606342
  negascout_kt              208     354     804    1076    1963    5348   11614   37573  277568

, , test = end57.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 178     424     609    1951    1793   17068   10352  265466  124935
  killer                    182     369     602    1562    1807    6926    9994   66725   99974
  history                   163     378     620    1520    1923    9225   12215  154068  342606
  transposition             184     439     632    2025    1893   15878    9614  230702   93906
  transposition_killer      187     375     616    1597    1820    6648    9379   59434   85372
  transposition_history     181     395     678    1620    2116    9181   11898  133863  374408
  negascout                 177     421     626    1772    1743   12042    7732  145348   74015
  negascout_k               180     369     646    1480    1775    4947    7565   46505   73514
  negascout_t               190     436     636    1795    1883   10308    7669  133608   61528
  negascout_kt              185     373     655    1574    1906    5102    8252   49164   69514

, , test = end58.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 236     644     829    3409    4273   37559   42141  516123  480012
  killer                    241     535     815    1913    3399   14112   29522  173560  304126
  history                   219     461     780    1741    3133   15023   27099  438299 1025183
  transposition             235     668     833    3381    4106   34323   34691  425568  339072
  transposition_killer      242     559     825    1942    3298   12978   23376  135639  234761
  transposition_history     236     518     859    1850    3143   13990   22354  377009  855769
  negascout                 237     651     855    3380    4692   32901   44719  449075  462755
  negascout_k               244     584     809    1929    3465   13789   26732  171201  306630
  negascout_t               238     693     847    3107    4734   29215   38682  396939  367758
  negascout_kt              251     557     830    1918    3774   13085   29430  178562  287312

, , test = end59.pos

                       depth
name                          2       3       4       5       6       7       8       9      10
  negaalpha                 175     382     598    1446    2051    9316   15701   91050  125357
  killer                    182     382     601    1223    1981    7358   13614   48518  104513
  history                   168     367     541    1178    1846    5823   12334   48768  114204
  transposition             182     383     600    1396    1991    8719   12928   74567   90219
  transposition_killer      183     392     612    1243    2069    7224   12367   43784   91378
  transposition_history     180     390     565    1272    1963    6026   11536   43587  114230
  negascout                 176     391     601    1270    2129    9195   15964  137736  108460
  negascout_k               179     401     620    1092    2034    6278   12079   45030   88573
  negascout_t               179     404     623    1228    2003    7652   12094   71868   70125
  negascout_kt              184     413     623    1116    2004    6419   10978   38308   70561

若干、入れ替わりもあるが多くの盤面でNegaScout + killer heuristic + transposition tableが最も効果的であることが分かる。

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