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Jesús Muñoz
Joined: 13 Jul 2011
Posts: 689
Location: Madrid, Spain.
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 Post subject: About the largest draft 11 record of Perft(13). Posted: Tue Jul 24, 2012 12:13 pm |
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Hello Steven:
You are doing a great work, but this is nothing new.
| sje wrote: |
| For the position after 1 e4 d5, the perft(11) is 28,808,031,383,517,106 and this may be the largest of all the 400 perft(11) values for the positions two ply from the root. |
I disagree with you about the largest draft 11 record of Perft(13): taking a quick look at Perft(11), I realized that there are three larger draft 9 records of Perft(11) than e4, d5: they are e3, e6 (the largest); e4, e6 (the second largest) and e3, e5 (the third largest):
| Code: |
m1 m2 count
e2e3 e7e6 26960191086033
e2e4 e7e6 26598009679041
e2e3 e7e5 26445262588567
e2e4 d7d5 26153690791449 |
I think that this pattern will not change a lot in draft 11 records of Perft(13). I have done some short MonteCarlo perft estimates with the priceless help of GNU 5.07.173b w32 and its command line 'perftmc':
| Code: |
1.- e3, e6; MonteCarlo perft(11):
FEN=rnbqkbnr/pppp1ppp/4p3/8/8/4P3/PPPP1PPP/RNBQKBNR w KQkq - 0 2
white KQkq
r n b q k b n r
p p p p . p p p
. . . . p . . .
. . . . . . . .
. . . . . . . .
. . . . P . . .
P P P P . P P P
R N B Q K B N R
perftmc 11
m=2.954491e+016 sd=1.188594e+013 ci(99%)=[2.951429e+016,2.957553e+016] n=11597340 sdn=4.047740e+016 t=114.59s
m=2.955449e+016 sd=1.178964e+013 ci(99%)=[2.952412e+016,2.958486e+016] n=17396048 sdn=4.917289e+016 t=171.73s
m=2.955676e+016 sd=8.639515e+012 ci(99%)=[2.953451e+016,2.957902e+016] n=23194782 sdn=4.160874e+016 t=228.52s
m=2.955276e+016 sd=7.796945e+012 ci(99%)=[2.953268e+016,2.957285e+016] n=28993495 sdn=4.198312e+016 t=285.47s
m=2.955355e+016 sd=6.414750e+012 ci(99%)=[2.953702e+016,2.957007e+016] n=34792189 sdn=3.783734e+016 t=342.44s
m=2.955846e+016 sd=7.313945e+012 ci(99%)=[2.953962e+016,2.957730e+016] n=40590861 sdn=4.659784e+016 t=399.42s
m=2.955511e+016 sd=7.164675e+012 ci(99%)=[2.953665e+016,2.957357e+016] n=46389522 sdn=4.879850e+016 t=456.53s
m=2.955484e+016 sd=6.324287e+012 ci(99%)=[2.953855e+016,2.957113e+016] n=52188174 sdn=4.568753e+016 t=513.58s
m=2.955033e+016 sd=7.237408e+012 ci(99%)=[2.953168e+016,2.956897e+016] n=57986866 sdn=5.511221e+016 t=570.52s
m=2.955335e+016 sd=7.208427e+012 ci(99%)=[2.953478e+016,2.957191e+016] n=63785530 sdn=5.757071e+016 t=627.45s
m=2.955245e+016 sd=6.641583e+012 ci(99%)=[2.953534e+016,2.956955e+016] n=69584267 sdn=5.540221e+016 t=684.59s
m=2.955327e+016 sd=6.165020e+012 ci(99%)=[2.953739e+016,2.956915e+016] n=75382991 sdn=5.352679e+016 t=741.58s
m=2.955426e+016 sd=5.791863e+012 ci(99%)=[2.953934e+016,2.956918e+016] n=81181658 sdn=5.218518e+016 t=798.30s
m=2.955469e+016 sd=5.409206e+012 ci(99%)=[2.954075e+016,2.956862e+016] n=86980372 sdn=5.044802e+016 t=855.27s
m=2.955365e+016 sd=5.165632e+012 ci(99%)=[2.954034e+016,2.956695e+016] n=92778991 sdn=4.975632e+016 t=912.36s
Interrupted! |
| Code: |
1.- e4, e6; MonteCarlo perft(11):
FEN=rnbqkbnr/pppp1ppp/4p3/8/4P3/8/PPPP1PPP/RNBQKBNR w KQkq - 0 2
white KQkq
r n b q k b n r
p p p p . p p p
. . . . p . . .
. . . . . . . .
. . . . P . . .
. . . . . . . .
P P P P . P P P
R N B Q K B N R
perftmc 11
m=2.891130e+016 sd=2.942705e+012 ci(99%)=[2.890372e+016,2.891888e+016] n=11569564 sdn=1.000934e+016 t=114.31s
m=2.890620e+016 sd=5.375176e+012 ci(99%)=[2.889236e+016,2.892005e+016] n=17354317 sdn=2.239218e+016 t=171.67s
m=2.891164e+016 sd=6.637332e+012 ci(99%)=[2.889455e+016,2.892874e+016] n=23139158 sdn=3.192768e+016 t=229.34s
m=2.891386e+016 sd=5.598457e+012 ci(99%)=[2.889944e+016,2.892828e+016] n=28924005 sdn=3.010909e+016 t=286.52s
m=2.891408e+016 sd=4.576389e+012 ci(99%)=[2.890229e+016,2.892587e+016] n=34708806 sdn=2.696142e+016 t=343.52s
m=2.891220e+016 sd=4.299207e+012 ci(99%)=[2.890113e+016,2.892328e+016] n=40493566 sdn=2.735781e+016 t=400.47s
m=2.891546e+016 sd=4.948197e+012 ci(99%)=[2.890271e+016,2.892821e+016] n=46278467 sdn=3.366173e+016 t=457.58s
m=2.891802e+016 sd=5.058324e+012 ci(99%)=[2.890499e+016,2.893105e+016] n=52063216 sdn=3.649826e+016 t=514.69s
m=2.892166e+016 sd=5.808634e+012 ci(99%)=[2.890670e+016,2.893663e+016] n=57848002 sdn=4.417923e+016 t=571.80s
m=2.891806e+016 sd=6.373074e+012 ci(99%)=[2.890164e+016,2.893447e+016] n=63632871 sdn=5.083815e+016 t=628.91s
m=2.891825e+016 sd=5.821186e+012 ci(99%)=[2.890326e+016,2.893325e+016] n=69417584 sdn=4.850050e+016 t=686.00s
m=2.891921e+016 sd=5.439840e+012 ci(99%)=[2.890520e+016,2.893323e+016] n=75202392 sdn=4.717392e+016 t=743.19s
m=2.891757e+016 sd=5.295969e+012 ci(99%)=[2.890393e+016,2.893122e+016] n=80987188 sdn=4.765995e+016 t=800.39s
m=2.891761e+016 sd=4.930411e+012 ci(99%)=[2.890491e+016,2.893031e+016] n=86772029 sdn=4.592752e+016 t=857.55s
m=2.891761e+016 sd=4.611978e+012 ci(99%)=[2.890573e+016,2.892949e+016] n=92556731 sdn=4.437019e+016 t=914.73s
Interrupted! |
| Code: |
1.- e3, e5; MonteCarlo perft(11):
FEN=rnbqkbnr/pppp1ppp/8/4p3/8/4P3/PPPP1PPP/RNBQKBNR w KQkq - 0 2
white KQkq
r n b q k b n r
p p p p . p p p
. . . . . . . .
. . . . p . . .
. . . . . . . .
. . . . P . . .
P P P P . P P P
R N B Q K B N R
perftmc 11
m=2.869135e+016 sd=1.270672e+013 ci(99%)=[2.865862e+016,2.872409e+016] n=11583924 sdn=4.324754e+016 t=113.66s
m=2.869776e+016 sd=9.741558e+012 ci(99%)=[2.867267e+016,2.872286e+016] n=17375908 sdn=4.060712e+016 t=170.67s
m=2.869993e+016 sd=7.220379e+012 ci(99%)=[2.868133e+016,2.871853e+016] n=23167747 sdn=3.475377e+016 t=227.62s
m=2.869922e+016 sd=5.637370e+012 ci(99%)=[2.868470e+016,2.871374e+016] n=28959685 sdn=3.033706e+016 t=284.59s
m=2.869572e+016 sd=5.785927e+012 ci(99%)=[2.868081e+016,2.871062e+016] n=34751520 sdn=3.410828e+016 t=341.58s
m=2.869092e+016 sd=6.848780e+012 ci(99%)=[2.867328e+016,2.870856e+016] n=40543496 sdn=4.360877e+016 t=398.58s
m=2.868961e+016 sd=6.073380e+012 ci(99%)=[2.867397e+016,2.870526e+016] n=46335300 sdn=4.134152e+016 t=455.55s
m=2.869461e+016 sd=7.328066e+012 ci(99%)=[2.867574e+016,2.871349e+016] n=52127173 sdn=5.290802e+016 t=512.52s
m=2.869353e+016 sd=6.642860e+012 ci(99%)=[2.867642e+016,2.871065e+016] n=57919108 sdn=5.055523e+016 t=569.47s
m=2.869353e+016 sd=6.008694e+012 ci(99%)=[2.867805e+016,2.870901e+016] n=63710999 sdn=4.796090e+016 t=626.45s
m=2.869559e+016 sd=5.860439e+012 ci(99%)=[2.868050e+016,2.871069e+016] n=69502968 sdn=4.885756e+016 t=683.27s
m=2.869544e+016 sd=5.393042e+012 ci(99%)=[2.868155e+016,2.870933e+016] n=75294847 sdn=4.679683e+016 t=740.09s
m=2.869647e+016 sd=5.097843e+012 ci(99%)=[2.868334e+016,2.870960e+016] n=81086809 sdn=4.590517e+016 t=797.14s
m=2.869408e+016 sd=5.314627e+012 ci(99%)=[2.868039e+016,2.870777e+016] n=86878806 sdn=4.953700e+016 t=854.14s
m=2.869331e+016 sd=5.029406e+012 ci(99%)=[2.868036e+016,2.870627e+016] n=92670749 sdn=4.841590e+016 t=911.19s
Interrupted! |
Checking the accuracy of these MonteCarlo perft estimates with 1.- e4, d5:
| Code: |
1.- e4, d5; MonteCarlo perft(11):
FEN=rnbqkbnr/ppp1pppp/8/3p4/4P3/8/PPPP1PPP/RNBQKBNR w KQkq - 0 2
white KQkq
r n b q k b n r
p p p . p p p p
. . . . . . . .
. . . p . . . .
. . . . P . . .
. . . . . . . .
P P P P . P P P
R N B Q K B N R
perftmc 11
m=2.881235e+016 sd=4.003087e+012 ci(99%)=[2.880203e+016,2.882266e+016] n=11093572 sdn=1.333309e+016 t=110.81s
m=2.880609e+016 sd=6.672581e+012 ci(99%)=[2.878890e+016,2.882328e+016] n=16640394 sdn=2.721922e+016 t=166.17s
m=2.880015e+016 sd=7.584608e+012 ci(99%)=[2.878061e+016,2.881969e+016] n=22187218 sdn=3.572602e+016 t=221.53s
m=2.880204e+016 sd=6.170638e+012 ci(99%)=[2.878614e+016,2.881793e+016] n=27734086 sdn=3.249653e+016 t=276.89s
m=2.879955e+016 sd=5.618191e+012 ci(99%)=[2.878508e+016,2.881402e+016] n=33280864 sdn=3.241110e+016 t=332.08s
m=2.880311e+016 sd=5.937526e+012 ci(99%)=[2.878782e+016,2.881841e+016] n=38827720 sdn=3.699785e+016 t=387.44s
m=2.880080e+016 sd=5.637752e+012 ci(99%)=[2.878628e+016,2.881533e+016] n=44374516 sdn=3.755543e+016 t=442.75s
m=2.879931e+016 sd=5.192187e+012 ci(99%)=[2.878593e+016,2.881268e+016] n=49921331 sdn=3.668541e+016 t=498.09s
m=2.879734e+016 sd=5.044991e+012 ci(99%)=[2.878434e+016,2.881033e+016] n=55468098 sdn=3.757353e+016 t=553.47s
m=2.879598e+016 sd=4.759934e+012 ci(99%)=[2.878372e+016,2.880824e+016] n=61014939 sdn=3.718082e+016 t=608.83s
m=2.879876e+016 sd=5.156774e+012 ci(99%)=[2.878548e+016,2.881204e+016] n=66561703 sdn=4.207172e+016 t=664.17s
m=2.880056e+016 sd=5.074915e+012 ci(99%)=[2.878749e+016,2.881364e+016] n=72108529 sdn=4.309453e+016 t=719.50s
m=2.879992e+016 sd=4.741695e+012 ci(99%)=[2.878771e+016,2.881214e+016] n=77655447 sdn=4.178492e+016 t=774.55s
m=2.879931e+016 sd=4.457373e+012 ci(99%)=[2.878782e+016,2.881079e+016] n=83202277 sdn=4.065805e+016 t=829.84s
m=2.880040e+016 sd=4.310762e+012 ci(99%)=[2.878930e+016,2.881150e+016] n=88749059 sdn=4.061027e+016 t=885.12s
Interrupted! |
The last output (2.88004e+16) is around 0.0265% smaller than the true perft value, so these approximations are quite valid. It looks like 1.- e3, e6 and 1.- e4, e6 will have greater perft(11) values than the Scandinavian defence.
Any thoughts are welcome. Please keep up the good work!
Regards from Spain.
Ajedrecista.
_________________
Six Fortran 95 tools.
Chess will never be solved. |
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| Subject |
Author |
Date/Time |
 Perft(13), final fifth |
Steven Edwards |
Fri May 25, 2012 1:17 am |
| Perft(11) for 1 d3 d5 |
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Tue May 29, 2012 8:14 pm |
| After 43 weeks |
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Thu May 31, 2012 5:46 am |
| Final sixth |
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Tue Jun 05, 2012 9:20 pm |
| Perft(11) for 1 e3 d6 |
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Wed Jun 06, 2012 8:39 am |
| After 44 weeks |
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Thu Jun 07, 2012 4:12 am |
| Perft(11) for 1 d4 d6 |
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Sun Jun 10, 2012 3:33 am |
| Perft(11) for 1 e4 d6 |
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Sun Jun 10, 2012 3:35 am |
| After 45 weeks |
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Thu Jun 14, 2012 11:04 am |
| Draft 12 result for 1 f4 completed |
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Mon Jun 18, 2012 7:10 am |
| Re: Draft 12 result for 1 f4 completed |
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Tue Aug 14, 2012 6:55 pm |
| Re: Draft 12 result for 1 f4 completed |
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Wed Aug 15, 2012 2:55 am |
| After 46 weeks |
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Thu Jun 21, 2012 4:53 am |
| Interlude |
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Sun Jun 24, 2012 8:17 am |
| Re: Interlude |
Paul Byrne |
Sun Jun 24, 2012 9:40 pm |
| Re: Interlude |
Steven Edwards |
Mon Jun 25, 2012 1:17 pm |
| Some maxima to date |
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Mon Jun 25, 2012 2:43 pm |
| After 47 weeks |
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Thu Jun 28, 2012 5:03 am |
| Interlude 2 |
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Sun Jul 01, 2012 2:29 am |
| Re: Interlude 2 |
Steven Edwards |
Sun Jul 01, 2012 2:54 am |
| Re: Interlude 2 |
Steven Edwards |
Mon Jul 02, 2012 6:40 am |
| Re: Interlude 2 |
Steven Edwards |
Wed Jul 04, 2012 7:27 am |
| Re: Interlude 2 |
Steven Edwards |
Fri Jul 06, 2012 6:35 pm |
| Re: Interlude 2 |
Steven Edwards |
Sat Jul 07, 2012 7:50 am |
| Re: Interlude 2 |
Steven Edwards |
Wed Jul 11, 2012 7:04 pm |
| Re: Interlude 2 |
Steven Edwards |
Sat Sep 08, 2012 2:11 pm |
| Re: Interlude 2 |
Daniel Shawul |
Sat Sep 08, 2012 4:09 pm |
| Re: Interlude 2 |
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Sat Sep 08, 2012 9:12 pm |
| After 48 weeks |
Steven Edwards |
Thu Jul 05, 2012 4:13 am |
| Interlude 3 |
Steven Edwards |
Tue Jul 24, 2012 4:07 am |
| About the largest draft 11 record of Perft(13). |
Jesús Muñoz |
Tue Jul 24, 2012 12:13 pm |
| Re: About the largest draft 11 record of Perft(13). |
Steven Edwards |
Wed Jul 25, 2012 5:56 am |
| Re: About the largest draft 11 record of Perft(13). |
Steven Edwards |
Mon Aug 20, 2012 12:03 am |
| The French |
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Thu Aug 23, 2012 10:06 pm |
| After 49 weeks |
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Thu Jul 12, 2012 4:17 am |
| After 50 weeks |
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Thu Jul 19, 2012 4:22 am |
| After 51 weeks |
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Thu Jul 26, 2012 5:07 am |
| After 52 weeks |
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Thu Aug 02, 2012 4:31 am |
| Perft(12) for 1 c3 |
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Sun Aug 05, 2012 2:49 am |
| After 53 weeks |
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Thu Aug 09, 2012 4:53 am |
| Re: Perft(13), final fifth |
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Thu Aug 09, 2012 6:50 pm |
| Re: Perft(13), final fifth |
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Tue Aug 14, 2012 5:49 am |
| After 54 weeks |
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Thu Aug 16, 2012 4:48 am |
| Re: Perft(13), final fifth |
Steven Edwards |
Mon Aug 20, 2012 9:33 pm |
| Re: Perft(13), final fifth |
Steven Edwards |
Wed Aug 22, 2012 1:50 am |
| Re: Perft(13), final fifth |
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Thu Aug 23, 2012 7:36 pm |
| After 55 weeks |
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Thu Aug 23, 2012 4:41 am |
| After 56 weeks |
Steven Edwards |
Thu Aug 30, 2012 4:25 am |
| Perft(12) for 1 h3 |
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Sat Sep 01, 2012 12:43 am |
| Perft(12) for 1 d3 |
Steven Edwards |
Sun Sep 02, 2012 4:16 am |
| Remaining work |
Steven Edwards |
Tue Sep 04, 2012 11:59 am |
| After 57 weeks |
Steven Edwards |
Thu Sep 06, 2012 4:06 am |
| The Home Stretch |
Steven Edwards |
Mon Sep 10, 2012 7:38 am |
| Re: The Home Stretch |
Steven Edwards |
Tue Sep 18, 2012 8:36 am |
| Re: The Home Stretch |
Steven Edwards |
Thu Sep 20, 2012 10:55 pm |
| Re: The Home Stretch |
Steven Edwards |
Sat Sep 22, 2012 4:10 pm |
| Re: The Home Stretch |
Steven Edwards |
Tue Sep 25, 2012 9:11 pm |
| Re: The Home Stretch |
Steven Edwards |
Wed Sep 26, 2012 5:13 pm |
| Re: The Home Stretch |
Steven Edwards |
Thu Sep 27, 2012 6:01 pm |
| Re: The Home Stretch |
Steven Edwards |
Sat Sep 29, 2012 12:03 am |
| Re: The Home Stretch |
Steven Edwards |
Sun Sep 30, 2012 8:41 am |
| Re: The Home Stretch |
Steven Edwards |
Sun Sep 30, 2012 6:45 pm |
| Re: The Home Stretch |
Steven Edwards |
Mon Oct 01, 2012 1:24 am |
| Re: The Home Stretch |
Steven Edwards |
Tue Oct 02, 2012 9:59 am |
| Re: The Home Stretch |
Steven Edwards |
Tue Oct 02, 2012 7:37 pm |
| Re: The Home Stretch |
Steven Edwards |
Wed Oct 03, 2012 5:35 am |
| Perft(12) for 1 h4 |
Steven Edwards |
Tue Sep 11, 2012 11:03 am |
| After 58 weeks |
Steven Edwards |
Thu Sep 13, 2012 5:23 am |
| Light years |
Steven Edwards |
Sun Sep 16, 2012 9:26 am |
| After 59 weeks |
Steven Edwards |
Thu Sep 20, 2012 4:45 am |
| After 60 weeks |
Steven Edwards |
Thu Sep 27, 2012 4:37 am |
| Perft(11) for 1 e4 Nh6 |
Steven Edwards |
Fri Sep 28, 2012 6:35 am |
| Better estimations |
Steven Edwards |
Sun Sep 30, 2012 10:37 am |
| Perft(12) for 1 d4 |
Steven Edwards |
Wed Oct 03, 2012 12:41 pm |
| Perft(12) for 1 e3 |
Steven Edwards |
Wed Oct 03, 2012 2:03 pm |
| Re: Perft(13), final fifth |
Steven Edwards |
Wed Oct 03, 2012 2:33 pm |
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