Perft Results

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This page contains detailed perft results for several positions that are useful for debugging, beginning with the start position. Captures, checkmates, and other information have been included along with the node counts (leaf nodes, excluding internal or interior nodes) or movepath enumerations. The move counters consider moves to the leaf positions only.

Initial Position

Obviously, Perft(1) of the initial position is 20, Perft(2) 400. Data of Perft(10) up to Perft(13) was provided by Steven Edwards, generated by Symbolic , when Perft(14) and Perft(15) were provided by Ankan Banerjee.

                                                                               ♜♞♝♛♚♝♞♜ ♟♟♟♟♟♟♟♟                                     ♙♙♙♙♙♙♙♙ ♖♘♗♕♔♗♘♖

rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1

Depth	Nodes	Captures	E.p.	Castles	Promotions	Checks	Discovery Checks	Double Checks	Checkmates
0	1	0	0	0	0	0	0	0	0
1	20	0	0	0	0	0	0	0	0
2	400	0	0	0	0	0	0	0	0
3	8,902	34	0	0	0	12	0	0	0
4	197,281	1576	0	0	0	469	0	0	8
5	4,865,609	82,719	258	0	0	27,351	6	0	347
6	119,060,324	2,812,008	5248	0	0	809,099	329	46	10,828
7	3,195,901,860	108,329,926	319,617	883,453	0	33,103,848	18,026	1628	435,767
8	84,998,978,956	3,523,740,106	7,187,977	23,605,205	0	968,981,593	847,039	147,215	9,852,036
9	2,439,530,234,167	125,208,536,153	319,496,827	1,784,356,000	17,334,376	36,095,901,903	37,101,713	5,547,231	400,191,963
10	69,352,859,712,417
11	2,097,651,003,696,806
12	62,854,969,236,701,747
13	1,981,066,775,000,396,239
14	61,885,021,521,585,529,237
15	2,015,099,950,053,364,471,960

Perft 10

• Perft(10) 20 draft 9 Positions
• Perft(10) 400 draft 8 Positions

Perft 11

• Perft(11) 20 draft 10 Positions
• Perft(11) 400 draft 9 Positions

Perft 12

• Perft(12) 20 draft 11 Positions
• Perft(12) 400 draft 10 Positions

Perft 13

• Perft(13) 20 draft 12 Positions
• Perft(13) 400 draft 11 Positions

Summary

• Initial Position Summary
• Perft(15)

Position 2

also known as Kiwipete by Peter McKenzie . The number of double-checks in depth 5 is discussed in Talkchess and may be 2645 instead of 2637.

                                                                               ♜   ♚  ♜ ♟ ♟♟♛♟♝  ♝♞  ♟♞♟     ♙♘     ♟  ♙      ♘  ♕ ♟ ♙♙♙♗♗♙♙♙ ♖   ♔  ♖

r3k2r/p1ppqpb1/bn2pnp1/3PN3/1p2P3/2N2Q1p/PPPBBPPP/R3K2R w KQkq - 

Depth	Nodes	Captures	E.p.	Castles	Promotions	Checks	Discovery Checks	Double Checks	Checkmates
1	48	8	0	2	0	0	0	0	0
2	2039	351	1	91	0	3	0	0	0
3	97862	17102	45	3162	0	993	0	0	1
4	4085603	757163	1929	128013	15172	25523	42	6	43
5	193690690	35043416	73365	4993637	8392	3309887	19883	2637	30171
6	8031647685	1558445089	3577504	184513607	56627920	92238050	568417	54948	360003

Position 3

                                                                                                                ♟         ♟     ♔♙     ♜  ♖   ♟ ♚              ♙ ♙

8/2p5/3p4/KP5r/1R3p1k/8/4P1P1/8 w - - 

Depth	Nodes	Captures	E.p.	Castles	Promotions	Checks	Discovery Checks	Double Checks	Checkmates
1	14	1	0	0	0	2	0	0	0
2	191	14	0	0	0	10	0	0	0
3	2812	209	2	0	0	267	3	0	0
4	43238	3348	123	0	0	1680	106	0	17
5	674624	52051	1165	0	0	52950	1292	3	0
6	11030083	940350	33325	0	7552	452473	26067	0	2733
7	178633661	14519036	294874	0	140024	12797406	370630	3612	87
8	3009794393	267586558	8009239	0	6578076	135626805	7181487	1630	450410

Position 4

                                                                                ♜   ♚  ♜ ♙♟♟♟ ♟♟♟  ♝   ♞♝♘ ♞♙       ♗♗♙ ♙    ♛    ♘   ♙♟ ♙  ♙♙ ♖  ♕ ♖♔

r3k2r/Pppp1ppp/1b3nbN/nP6/BBP1P3/q4N2/Pp1P2PP/R2Q1RK1 w kq - 0 1

Or mirrored (with the same perft results):

r2q1rk1/pP1p2pp/Q4n2/bbp1p3/Np6/1B3NBn/pPPP1PPP/R3K2R b KQ - 0 1 

Depth	Nodes	Captures	E.p.	Castles	Promotions	Checks	Checkmates
1	6	0	0	0	0	0	0
2	264	87	0	6	48	10	0
3	9467	1021	4	0	120	38	22
4	422333	131393	0	7795	60032	15492	5
5	15833292	2046173	6512	0	329464	200568	50562
6	706045033	210369132	212	10882006	81102984	26973664	81076

Position 5

This position was discussed on Talkchess and caught bugs in engines several years old at depth 3 and was also reported wrong here , hopefully now corrected with the results given by Steven Edwards, July 18, 2015

                                                                                   ♜♞♝♛ ♚ ♜ ♟♟ ♙♝♟♟♟   ♟                 ♗               ♙♙♙ ♘♞♙♙ ♖♘♗♕♔  ♖

rnbq1k1r/pp1Pbppp/2p5/8/2B5/8/PPP1NnPP/RNBQK2R w KQ - 1 8  

Depth	Nodes
1	44
2	1,486
3	62,379
4	2,103,487
5	89,941,194

Position 6

An alternative Perft given by Steven Edwards

                                                                               ♜    ♜♚   ♟♟ ♛♟♟♟ ♟ ♞♟ ♞     ♝ ♟ ♗    ♗ ♙ ♝  ♙ ♘♙ ♘    ♙♙ ♕♙♙♙ ♖    ♖♔

r4rk1/1pp1qppp/p1np1n2/2b1p1B1/2B1P1b1/P1NP1N2/1PP1QPPP/R4RK1 w - - 0 10 

Depth	Nodes
0	1
1	46
2	2,079
3	89,890
4	3,894,594
5	164,075,551
6	6,923,051,137
7	287,188,994,746
8	11,923,589,843,526
9	490,154,852,788,714

See also

• Chess960 Perft Results
• Chinese Chess Perft Results

Forum Posts

2000 ...

• kiwipete perft position by Russell Reagan, CCC, January 04, 2003 » Peter McKenzie, Kiwipete
• perft results (how accurate is accurate enough ?) by Roman Hartmann, CCC, September 23, 2004

2010 ...

• REPORT: wrong perft result by qperft by Jesús Muñoz, CCC, February 14, 2012 » Position 5
• Perft and en_passant by Harald Lüßen, CCC, September 11, 2012 » En passant
• Perft(14) estimates thread by Steven Edwards, CCC, February 26, 2013
• Perft(15) estimates thread by Steven Edwards, CCC, April 10, 2013
• An altenative perft() initial FEN by Steven Edwards, CCC, July 11, 2013
• Impossible perft question by Andy Duplain, CCC, August 01, 2013 » Position 3
• Wide open perft() by Steven Edwards, CCC, August 18, 2013
• Perft(14) revisited by Steven Edwards, CCC, August 08, 2014
• Perft(14) Weekly Status Report by Steven Edwards, CCC, August 24, 2014
• Perft(14) verification by Steven Edwards, CCC, December 28, 2014

2015 ...

• Perft(14) Weekly Status Reports for 2015 by Steven Edwards, CCC, January 04, 2015
• Perft for various positions by Alexandru Mosoi, CCC, January 17, 2015
• Some Chess960/FRC positions to be confirmed by Reinhard Scharnagl, CCC, February 09, 2015 » Chess960
• kiwipete perft position by Henk van den Belt, CCC, March 26, 2015 » Kiwipete
• Perft(14) Weekly Status Reports for 2016 by Steven Edwards, CCC, December 29, 2015

2016

• A perft(7) challenge position by Steven Edwards, CCC, April 07, 2016
• Another perft(7) challenge position by Steven Edwards, CCC, April 13, 2016
• Perft(7) challenge position #3 by Steven Edwards, CCC, April 20, 2016
• Perft(7) challenge position #4 by Steven Edwards, CCC, April 25, 2016
• Perft(7) challenge position #5 by Steven Edwards, CCC, April 25, 2016
• Another perft(7) challenge by Steven Edwards, CCC, May 08, 2016
• Perft(7) challenge position #6 by Steven Edwards, CCC, May 10, 2016
• Perft(7) 64 bit hash mismatch set 8 by Steven Edwards, CCC, May 22, 2016
• Twenty-nine perft(7) mismatches from work unit 528 by Steven Edwards, CCC, July 25, 2016
• yet another attempt on Perft(14) by Ankan Banerjee, CCC, August 13, 2016

Re: yet another attempt on Perft(14) by Ankan Banerjee, CCC, September 09, 2016

• Two perft(7) mismatches from work unit 571 by Steven Edwards, CCC, September 04, 2016

2017 ...

• perft(15) by Ankan Banerjee, CCC, August 25, 2017 » Perft(15)

Re: perft(15) by Ankan Banerjee, CCC, August 25, 2017

• Contrived position for perft by Michael Sherwin, CCC, April 21, 2019
• You gotta love Perft... just not too much! by Martin Bryant, CCC, July 27, 2019
• Level 11 Perft statistics by Andreas Øverland, CCC, September 17, 2019

2020 ...

• Place to find correct perft result from a fen position by Elias Nilsson, CCC, November 20, 2020
• Chinese chess Xiangqi perft results by Maksim Korzh, CCC, January 27, 2021 » Chinese Chess Perft Results
• Perft 7 -> 1.6 trillion moves by MikeB, CCC, April 12, 2021
• Being silly with perft and legal move generation by Jakob Progsch, CCC, May 19, 2021 » Legal Move Generation, En passant
• Perft(16) estimate after averaging MC samples. by Ajedrecista, CCC, February 26, 2024

External Links

• A048987 from On-Line Encyclopedia of Integer Sequences (OEIS)
• µ-Max Dowload Page - qperft by Harm Geert Muller
• perft-random.epd by Marcel van Kervinck
• Crafty Command Documentation by Robert Hyatt, see Crafty perft <depth>
• Sharper - Perft calculation by Albert Bertilsson (Wayback Machine)
• Distributed Perft Project by Albert Bertilsson (Wayback Machine)
• perft, divide, debugging a move generator from ROCE by Roman Hartmann
• Perft - sample test positions used by Numpty chess
• Perft, search the CCC Archives
• Statistics on chess games by François Labelle
• vajolet/perft.txt at master · elcabesa/vajolet · GitHub by Marco Belli

References

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