Leela-chess: Some statistics

Created on 21 Mar 2018  Â·  41Comments  Â·  Source: glinscott/leela-chess

Outdated stats

See https://script.google.com/macros/s/AKfycbxxV3fudM352z5p_kTeAHLauO3KdnUpjSZffICfWQ/exec for better (and updated) stats.

And https://script.google.com/macros/s/AKfycbywkdQQKQjCEWJ_Pg_B08MCCWruu8wEE_VUag-Gxkc2FKeJNu0/exec for testserver's stats.

Currently I'm analysing 4 types of metrics :

  • Opening analysis
  • Move probabilities
  • Castling percentage
  • King movements in early game

All lczero stats are generated using the self-play games.

Click on the following sections to open the stats associated (They are not links, just developable boxes).


Lichess >1500 ELO from 01/2017 - 95k games

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

56.10% ±0.32% 1. e4                                                   | B00 King's Pawn Opening
└─ 34.73% ±0.45% 1. e4 e5                                             | C20 King's Pawn Game
  └─ 62.97% ±1.08% 1. e4 e5 2. Nf3                                    | C40 King's Knight Opening
    └─ 65.77% ±1.42% 1. e4 e5 2. Nf3 Nc6                              | C44 King's Pawn Game
      └─ 38.90% ±1.39% 1. e4 e5 2. Nf3 Nc6 3. Bc4                     | C50 King's Pawn Game
        └─ 32.93% ±2.07% 1. e4 e5 2. Nf3 Nc6 3. Bc4 Nf6               | C55-C59 Two Knights Defence
        └─ 32.11% ±2.04% 1. e4 e5 2. Nf3 Nc6 3. Bc4 Bc5               | C50 Giuoco Piano
          └─ 26.63% ±3.29% 1. e4 e5 2. Nf3 Nc6 3. Bc4 Bc5 4. c3       | C53-C54 Giuoco Piano
      └─ 32.63% ±1.27% 1. e4 e5 2. Nf3 Nc6 3. Bb5                     | C60-C99 Ruy Lopez (Spanish Opening)
      └─ 15.92% ±0.90% 1. e4 e5 2. Nf3 Nc6 3. d4                      | C44 Scotch Opening
        └─ 63.49% ±4.49% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4       | C45 Scotch Game
          └─ 31.15% ±3.96% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4 Bc5 | C45 Scotch Game
      └─ 7.00%  ±0.60% 1. e4 e5 2. Nf3 Nc6 3. Nc3                     | C46 Three Knights Game
        └─ 48.27% ±5.92% 1. e4 e5 2. Nf3 Nc6 3. Nc3 Nf6               | C46 Four Knights Game
    └─ 18.93% ±0.79% 1. e4 e5 2. Nf3 d6                               | C41 Philidor's Defence
      └─ 35.34% ±2.49% 1. e4 e5 2. Nf3 d6 3. d4                       | C41 Philidor's Defence
        └─ 60.03% ±5.47% 1. e4 e5 2. Nf3 d6 3. d4 exd4                | C41 Philidor, Exchange Variation
          └─ 79.12% ±8.11% 1. e4 e5 2. Nf3 d6 3. d4 exd4 4. Nxd4      | C41 Philidor, Exchange Variation
    └─ 7.31%  ±0.49% 1. e4 e5 2. Nf3 Nf6                              | C42-C43 Petrov's Defence
  └─ 10.17% ±0.46% 1. e4 e5 2. f4                                     | C30-C39 King's Gambit
  └─ 9.93%  ±0.45% 1. e4 e5 2. Bc4                                    | C23-C24 Bishop's Opening
  └─ 5.08%  ±0.33% 1. e4 e5 2. d4 exd4                                | C21-C22 Centre Game
  └─ 4.12%  ±0.29% 1. e4 e5 2. Nc3                                    | C25-C29 Vienna Game
  └─ 2.13%  ±0.21% 1. e4 e5 2. d3                                     | C20 KP, Indian Opening
└─ 21.93% ±0.38% 1. e4 c5                                             | B20-B99 Sicilian Defence
└─ 13.02% ±0.30% 1. e4 e6                                             | C00-C19 French Defence
└─ 8.86%  ±0.25% 1. e4 d5                                             | B01 Scandinavian (centre Counter) Defence
  └─ 17.68% ±1.20% 1. e4 d5 2. exd5 Nf6                               | B01 Scandinavian Defence
└─ 6.70%  ±0.22% 1. e4 c6                                             | B10-B19 Caro-Kann Defence
└─ 3.42%  ±0.16% 1. e4 g6                                             | B06 Robatsch (modern) Defence
  └─ 43.52% ±3.04% 1. e4 g6 2. d4 Bg7                                 | B06 Robatsch (modern) Defence
└─ 2.40%  ±0.13% 1. e4 Nf6                                            | B02-B05 Alekhine's Defence
└─ 2.12%  ±0.12% 1. e4 b6                                             | B00 Owen Defence
└─ 1.82%  ±0.12% 1. e4 Nc6                                            | B00 KP, Nimzovich Defence
  └─ 38.29% ±3.92% 1. e4 Nc6 2. d4                                    | B00 KP, Nimzovich Defence
  └─ 34.27% ±3.71% 1. e4 Nc6 2. Nf3                                   | B00 KP, Nimzovich Defence
└─ 0.79%  ±0.08% 1. e4 d6 2. d4 Nf6 3. Nc3                            | B07-B09 Pirc Defence
26.13% ±0.28% 1. d4                                                   | A40-A41 Queen's Pawn
└─ 37.61% ±0.73% 1. d4 d5                                             | D00 Queen's Pawn Game
  └─ 48.23% ±1.39% 1. d4 d5 2. c4                                     | D06 Queen's Gambit
    └─ 28.14% ±1.55% 1. d4 d5 2. c4 e6                                | D30-D42 Queen's Gambit Declined
    └─ 25.60% ±1.48% 1. d4 d5 2. c4 c6                                | D10-D15 Queen's Gambit Declined Slav Defence
    └─ 19.77% ±1.30% 1. d4 d5 2. c4 dxc4                              | D20-D29 Queen's Gambit Accepted
    └─ 13.39% ±1.07% 1. d4 d5 2. c4 Nf6                               | D06 Queen's Gambit Declined, Marshall Defence
  └─ 19.00% ±0.88% 1. d4 d5 2. Nf3                                    | D02 Queen's Pawn Game
    └─ 32.32% ±2.66% 1. d4 d5 2. Nf3 Nf6                              | D02 Queen's Pawn Game
  └─ 7.62%  ±0.56% 1. d4 d5 2. Bf4                                    | D00 Queen's Pawn, Mason Variation
  └─ 4.38%  ±0.43% 1. d4 d5 2. Nc3                                    | D00 Queen's Pawn, Chigorin Variation
  └─ 2.74%  ±0.34% 1. d4 d5 2. Bg5                                    | D00 Levitsky Attack (Queen's Bishop Attack)
└─ 24.52% ±0.60% 1. d4 Nf6                                            | A45-A46 Queen's Pawn Game
  └─ 48.76% ±1.74% 1. d4 Nf6 2. c4                                    | A50 Queen's Pawn Game
    └─ 32.96% ±2.07% 1. d4 Nf6 2. c4 e6                               | E00 Queen's Pawn Game
      └─ 42.76% ±4.12% 1. d4 Nf6 2. c4 e6 3. Nc3 Bb4                  | E20-E59 Nimzo-Indian Defence
    └─ 30.52% ±2.00% 1. d4 Nf6 2. c4 g                                | E60-E99 King's Indian Defence
    └─ 12.87% ±1.30% 1. d4 Nf6 2. c4 c5                               | A56 Benoni Defence
    └─ 9.94%  ±1.14% 1. d4 Nf6 2. c4 e5                               | A51-A52 Budapest Defence
  └─ 6.45%  ±0.64% 1. d4 Nf6 2. Nf3 g6                                | A48-A49 King's Indian, East Indian Defence
└─ 5.74%  ±0.30% 1. d4 c5                                             | A43-A44 Old Benoni Defence
└─ 2.38%  ±0.19% 1. d4 f5                                             | A80-A99 Dutch
4.05%  ±0.13% 1. Nf3                                                  | A04-A09 Reti Opening
3.72%  ±0.12% 1. c4                                                   | A10-A39 English Opening
2.17%  ±0.09% 1. e3                                                   | A00 Van't Kruijs Opening
2.15%  ±0.09% 1. g3                                                   | A00 Benko's Opening
1.43%  ±0.08% 1. b3                                                   | A01 Nimzovich-Larsen Attack
└─ 23.18% ±2.58% 1. b3 e5                                             | A01 Nimzovich-Larsen Attack, Modern Variation
└─ 21.17% ±2.47% 1. b3 d5                                             | A01 Nimzovich-Larsen Attack, Classical Variation
1.22%  ±0.07% 1. f4                                                   | A02-A03 Bird's Opening
0.98%  ±0.06% 1. d3                                                   | A00 Mieses Opening
0.57%  ±0.05% 1. Nc3                                                  | A00 Dunst (Sleipner, Heinrichsen) Opening
0.56%  ±0.05% 1. b4                                                   | A00 Polish (Sokolsky) Opening
0.33%  ±0.04% 1. c3                                                   | A00 Saragossa Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image


Id 19 - Gen 14 - 209032b7

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

9.19%  ±0.58% 1. e4                     | B00 King's Pawn Opening
└─ 8.71%  ±1.94% 1. e4 e5               | C20 King's Pawn Game
└─ 7.83%  ±1.84% 1. e4 a5               | B00 Corn Stalk Defence
└─ 7.40%  ±1.79% 1. e4 g6               | B06 Robatsch (Modern) Defence
└─ 7.40%  ±1.79% 1. e4 Nf6              | B02-B05 Alekhine's Defence
└─ 6.75%  ±1.71% 1. e4 Nc6              | B00 KP, Nimzovich Defence
└─ 5.77%  ±1.58% 1. e4 c6               | B10-B19 Caro-Kann Defence
└─ 4.57%  ±1.41% 1. e4 g5               | B00 Reversed Grob (Borg/Basman Defence/Macho Grob)
└─ 4.35%  ±1.37% 1. e4 f6               | B00 Barnes Defence
└─ 4.35%  ±1.37% 1. e4 a6               | B00 St. George (Baker) Defence
└─ 4.35%  ±1.37% 1. e4 Na6              | B00 Lemming Defence
└─ 4.24%  ±1.36% 1. e4 c5               | B20-B99 Sicilian Defence
└─ 4.13%  ±1.34% 1. e4 e6               | C00-C19 French Defence
└─ 3.48%  ±1.23% 1. e4 d5               | B01 Scandinavian (Centre Counter) Defence
└─ 3.37%  ±1.21% 1. e4 h6               | B00 Carr's Defence
└─ 3.37%  ±1.21% 1. e4 b6               | B00 Owen Defence
8.84%  ±0.57% 1. d3                     | A00 Mieses Opening
└─ 9.05%  ±2.02% 1. d3 e5               | A00 Mieses Opening
7.00%  ±0.51% 1. Nf3                    | A04-A09 Reti Opening
6.61%  ±0.50% 1. d4                     | A40-A41 Queen's Pawn
└─ 10.74% ±2.54% 1. d4 d5               | D00 Queen's Pawn Game
└─ 7.41%  ±2.11% 1. d4 Nf6              | A45-A46 Queen's Pawn Game
└─ 5.90%  ±1.89% 1. d4 c5               | A43-A44 Old Benoni Defence
5.94%  ±0.47% 1. Nh3                    | A00 Amar (Paris) Opening
5.86%  ±0.47% 1. a4                     | A00 Ware (Meadow Hay) Opening
5.57%  ±0.46% 1. b4                     | A00 Polish (Sokolsky) Opening
└─ 5.39%  ±1.96% 1. b4 c6               | A00 Polish, Outflank Variation
5.01%  ±0.44% 1. h4                     | A00 Anti-Borg (Desprez) Opening
4.73%  ±0.42% 1. a3                     | A00 Anderssen's Opening
4.63%  ±0.42% 1. g3                     | A00 Benko's Opening
└─ 6.26%  ±2.32% 1. g3 h5               | A00 Lasker Simul Special
4.34%  ±0.41% 1. Na3                    | A00 Durkin's Attack
4.31%  ±0.41% 1. h3                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
4.20%  ±0.40% 1. g4                     | A00 Grob's Attack
4.11%  ±0.40% 1. b3                     | A01 Nimzovich-Larsen Attack
└─ 10.22% ±3.15% 1. b3 d5               | A01 Nimzovich-Larsen Attack, Classical Variation
└─ 8.76%  ±2.91% 1. b3 e5               | A01 Nimzovich-Larsen Attack, Modern Variation
4.08%  ±0.40% 1. Nc3                    | A00 Dunst (Sleipner, Heinrichsen) Opening
└─ 6.86%  ±2.59% 1. Nc3 e5              | A00 Dunst (Sleipner,Heinrichsen) Opening
3.25%  ±0.35% 1. c4                     | A10-A39 English Opening
3.22%  ±0.35% 1. e3                     | A00 Van't Kruijs Opening
3.17%  ±0.35% 1. c3                     | A00 Saragossa Opening
3.15%  ±0.35% 1. f4                     | A02-A03 Bird's Opening
2.79%  ±0.33% 1. f3                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image


Id 20 - Gen 15 - 6a5ccda2

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

8.22%  ±0.61% 1. d3                     | A00 Mieses Opening
└─ 6.38%  ±1.96% 1. d3 e5               | A00 Mieses Opening
8.22%  ±0.61% 1. e4                     | B00 King's Pawn Opening
└─ 7.75%  ±2.16% 1. e4 e5               | C20 King's Pawn Game
└─ 7.75%  ±2.16% 1. e4 Nf6              | B02-B05 Alekhine's Defence
└─ 6.38%  ±1.96% 1. e4 a5               | B00 Corn Stalk Defence
└─ 6.38%  ±1.96% 1. e4 g6               | B06 Robatsch (modern) Defence
└─ 5.62%  ±1.84% 1. e4 Nc6              | B00 KP, Nimzovich Defence
└─ 5.32%  ±1.79% 1. e4 c6               | B10-B19 Caro-Kann Defence
└─ 5.32%  ±1.79% 1. e4 a6               | B00 St. George (Baker) Defence
└─ 5.32%  ±1.79% 1. e4 e6               | C00-C19 French Defence
└─ 5.02%  ±1.74% 1. e4 b6               | B00 Owen Defence
└─ 4.41%  ±1.63% 1. e4 h6               | B00 Carr's Defence
└─ 4.41%  ±1.63% 1. e4 d5               | B01 Scandinavian (centre Counter) Defence
└─ 4.10%  ±1.58% 1. e4 g5               | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
└─ 3.65%  ±1.49% 1. e4 c5               | B20-B99 Sicilian Defence
└─ 3.65%  ±1.49% 1. e4 Na6              | B00 Lemming Defence
6.08%  ±0.53% 1. d4                     | A40-A41 Queen's Pawn
└─ 10.29% ±2.90% 1. d4 Nf6              | A45-A46 Queen's Pawn Game
└─ 8.23%  ±2.60% 1. d4 d5               | D00 Queen's Pawn Game
5.97%  ±0.53% 1. Nf3                    | A04-A09 Reti Opening
5.76%  ±0.52% 1. a4                     | A00 Ware (Meadow Hay) Opening
5.46%  ±0.51% 1. Nh3                    | A00 Amar (Paris) Opening
5.29%  ±0.50% 1. b4                     | A00 Polish (Sokolsky) Opening
└─ 4.96%  ±2.16% 1. b4 c6               | A00 Polish, Outflank Variation
5.17%  ±0.50% 1. Na3                    | A00 Durkin's Attack
5.10%  ±0.49% 1. a3                     | A00 Anderssen's Opening
5.10%  ±0.49% 1. h4                     | A00 Anti-Borg (Desprez) Opening
4.83%  ±0.48% 1. Nc3                    | A00 Dunst (Sleipner, Heinrichsen) Opening
4.81%  ±0.48% 1. b3                     | A01 Nimzovich-Larsen Attack
└─ 10.39% ±3.28% 1. b3 d5               | A01 Nimzovich-Larsen Attack, Classical Variation
└─ 7.53%  ±2.79% 1. b3 e5               | A01 Nimzovich-Larsen Attack, Modern Variation
└─ 5.97%  ±2.49% 1. b3 Nf6              | A01 Nimzovich-Larsen Attack, Indian Variation
4.30%  ±0.45% 1. h3                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
4.24%  ±0.45% 1. c4                     | A10-A39 English Opening
4.14%  ±0.45% 1. g3                     | A00 Benko's Opening
3.95%  ±0.44% 1. c3                     | A00 Saragossa Opening
3.62%  ±0.42% 1. e3                     | A00 Van't Kruijs Opening
3.45%  ±0.41% 1. f3                     | A00 Gedult's Opening
3.31%  ±0.40% 1. g4                     | A00 Grob's Attack
2.96%  ±0.38% 1. f4                     | A02-A03 Bird's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 22 - Gen 16 - 98240a5b

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

9.94%  ±0.60% 1. e4             | B00 King's Pawn Opening
└─ 8.95%  ±1.89% 1. e4 e5       | C20 King's Pawn Game
└─ 7.95%  ±1.78% 1. e4 a5       | B00 Corn Stalk Defence
└─ 7.75%  ±1.76% 1. e4 Nf6      | B02-B05 Alekhine's Defence
└─ 7.04%  ±1.68% 1. e4 Nc6      | B00 KP, Nimzovich Defence
└─ 6.24%  ±1.58% 1. e4 e6       | C00-C19 French Defence
└─ 4.93%  ±1.40% 1. e4 h6       | B00 Carr's Defence
└─ 4.83%  ±1.39% 1. e4 c5       | B20-B99 Sicilian Defence
└─ 4.73%  ±1.38% 1. e4 a6       | B00 St. George (Baker) Defence
└─ 4.23%  ±1.30% 1. e4 c6       | B10-B19 Caro-Kann Defence
└─ 3.92%  ±1.25% 1. e4 g6       | B06 Robatsch (modern) Defence
└─ 3.72%  ±1.22% 1. e4 b6       | B00 Owen Defence
└─ 3.32%  ±1.15% 1. e4 d5       | B01 Scandinavian (centre Counter) Defence
└─ 3.32%  ±1.15% 1. e4 g5       | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
└─ 3.32%  ±1.15% 1. e4 Na6      | B00 Lemming Defence
└─ 2.92%  ±1.08% 1. e4 f5       | B00 Fred
8.15%  ±0.55% 1. d3             | A00 Mieses Opening
└─ 9.69%  ±2.17% 1. d3 e5       | A00 Mieses Opening
7.80%  ±0.54% 1. d4             | A40-A41 Queen's Pawn
└─ 11.15% ±2.38% 1. d4 d5       | D00 Queen's Pawn Game
└─ 8.21%  ±2.04% 1. d4 Nf6      | A45-A46 Queen's Pawn Game
└─ 5.13%  ±1.62% 1. d4 c5       | A43-A44 Old Benoni Defence
6.89%  ±0.51% 1. Nf3            | A04-A09 Reti Opening
5.37%  ±0.45% 1. a3             | A00 Anderssen's Opening
5.19%  ±0.44% 1. h3             | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
4.99%  ±0.44% 1. a4             | A00 Ware (Meadow Hay) Opening
4.78%  ±0.43% 1. h4             | A00 Anti-Borg (Desprez) Opening
4.57%  ±0.42% 1. b4             | A00 Polish (Sokolsky) Opening
4.54%  ±0.42% 1. Na3            | A00 Durkin's Attack
4.45%  ±0.41% 1. Nh3            | A00 Amar (Paris) Opening
4.37%  ±0.41% 1. e3             | A00 Van't Kruijs Opening
4.17%  ±0.40% 1. Nc3            | A00 Dunst (Sleipner, Heinrichsen) Opening
└─ 7.67%  ±2.71% 1. Nc3 e5      | A00 Dunst (Sleipner,Heinrichsen) Opening
4.14%  ±0.40% 1. b3             | A01 Nimzovich-Larsen Attack
└─ 9.42%  ±3.01% 1. b3 e5       | A01 Nimzovich-Larsen Attack, Modern Variation
└─ 9.42%  ±3.01% 1. b3 d5       | A01 Nimzovich-Larsen Attack, Classical Variation
└─ 6.76%  ±2.55% 1. b3 Nf6      | A01 Nimzovich-Larsen Attack, Indian Variation
4.05%  ±0.39% 1. g3             | A00 Benko's Opening
3.82%  ±0.38% 1. c4             | A10-A39 English Opening
3.64%  ±0.37% 1. c3             | A00 Saragossa Opening
3.30%  ±0.36% 1. g4             | A00 Grob's Attack
3.12%  ±0.35% 1. f3             | A00 Gedult's Opening
2.71%  ±0.32% 1. f4             | A02-A03 Bird's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 23 - Gen 17 - 38576aeb

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

10.07% ±0.60% 1. e4             | B00 King's Pawn Opening
└─ 10.13% ±2.00% 1. e4 e5       | C20 King's Pawn Game
  └─ 25.49% ±9.99% 1. e4 e5 2. Nf3| C40 King's Knight Opening
└─ 8.04%  ±1.78% 1. e4 e6       | C00-C19 French Defence
└─ 7.85%  ±1.76% 1. e4 a5       | B00 Corn Stalk Defence
└─ 7.45%  ±1.71% 1. e4 a6       | B00 St. George (Baker) Defence
└─ 6.95%  ±1.66% 1. e4 Nf6      | B02-B05 Alekhine's Defence
└─ 5.56%  ±1.48% 1. e4 Nc6      | B00 KP, Nimzovich Defence
└─ 5.36%  ±1.46% 1. e4 h6       | B00 Carr's Defence
└─ 5.16%  ±1.43% 1. e4 c6       | B10-B19 Caro-Kann Defence
└─ 3.77%  ±1.22% 1. e4 b6       | B00 Owen Defence
└─ 3.77%  ±1.22% 1. e4 g5       | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
└─ 3.57%  ±1.19% 1. e4 d5       | B01 Scandinavian (centre Counter) Defence
└─ 3.48%  ±1.17% 1. e4 f6       | B00 Barnes Defence
└─ 3.38%  ±1.16% 1. e4 Na6      | B00 Lemming Defence
└─ 3.28%  ±1.14% 1. e4 c5       | B20-B99 Sicilian Defence
└─ 2.98%  ±1.09% 1. e4 g6       | B06 Robatsch (modern) Defence
8.63%  ±0.56% 1. d3             | A00 Mieses Opening
└─ 8.46%  ±1.97% 1. d3 e5       | A00 Mieses Opening
8.01%  ±0.54% 1. Nf3            | A04-A09 Reti Opening
7.61%  ±0.53% 1. d4             | A40-A41 Queen's Pawn
└─ 12.35% ±2.54% 1. d4 d5       | D00 Queen's Pawn Game
└─ 6.57%  ±1.85% 1. d4 Nf6      | A45-A46 Queen's Pawn Game
└─ 3.68%  ±1.39% 1. d4 c5       | A43-A44 Old Benoni Defence
5.10%  ±0.44% 1. a4             | A00 Ware (Meadow Hay) Opening
5.08%  ±0.44% 1. a3             | A00 Anderssen's Opening
4.96%  ±0.43% 1. e3             | A00 Van't Kruijs Opening
4.71%  ±0.42% 1. h4             | A00 Anti-Borg (Desprez) Opening
4.48%  ±0.41% 1. Nh3            | A00 Amar (Paris) Opening
4.41%  ±0.41% 1. g3             | A00 Benko's Opening
4.25%  ±0.40% 1. Na3            | A00 Durkin's Attack
4.24%  ±0.40% 1. h3             | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
4.20%  ±0.40% 1. Nc3            | A00 Dunst (Sleipner, Heinrichsen) Opening
└─ 6.67%  ±2.52% 1. Nc3 e5      | A00 Dunst (Sleipner,Heinrichsen) Opening
4.14%  ±0.40% 1. b3             | A01 Nimzovich-Larsen Attack
└─ 10.39% ±3.16% 1. b3 d5       | A01 Nimzovich-Larsen Attack, Classical Variation
└─ 7.73%  ±2.73% 1. b3 e5       | A01 Nimzovich-Larsen Attack, Modern Variation
4.13%  ±0.40% 1. b4             | A00 Polish (Sokolsky) Opening
3.77%  ±0.38% 1. c3             | A00 Saragossa Opening
3.20%  ±0.35% 1. c4             | A10-A39 English Opening
3.12%  ±0.35% 1. g4             | A00 Grob's Attack
3.07%  ±0.35% 1. f4             | A02-A03 Bird's Opening
2.80%  ±0.33% 1. f3             | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 26- Gen 18 - 8c1c61cfc

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

13.44% ±0.68% 1. e4                     | B00 King's Pawn Opening
└─ 15.62% ±2.13% 1. e4 e5               | C20 King's Pawn Game
  └─ 23.33% ±6.65% 1. e4 e5 2. Nf3      | C40 King's Knight Opening
└─ 7.96%  ±1.53% 1. e4 Nc6              | B00 KP, Nimzovich Defence
└─ 7.14%  ±1.45% 1. e4 Nf6              | B02-B05 Alekhine's Defence
└─ 6.92%  ±1.43% 1. e4 a5               | B00 Corn Stalk Defence
└─ 6.85%  ±1.42% 1. e4 c6               | B10-B19 Caro-Kann Defence
└─ 6.55%  ±1.39% 1. e4 a6               | B00 St. George (Baker) Defence
└─ 5.88%  ±1.32% 1. e4 e6               | C00-C19 French Defence
└─ 4.54%  ±1.16% 1. e4 c5               | B20-B99 Sicilian Defence
└─ 3.72%  ±1.05% 1. e4 g6               | B06 Robatsch (modern) Defence
└─ 3.57%  ±1.03% 1. e4 d5               | B01 Scandinavian (centre Counter) Defence
└─ 3.50%  ±1.02% 1. e4 h6               | B00 Carr's Defence
└─ 3.50%  ±1.02% 1. e4 b6               | B00 Owen Defence
└─ 2.46%  ±0.85% 1. e4 g5               | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
└─ 2.46%  ±0.85% 1. e4 Na6              | B00 Lemming Defence
10.34% ±0.61% 1. d4                     | A40-A41 Queen's Pawn
└─ 20.21% ±2.77% 1. d4 d5               | D00 Queen's Pawn Game
  └─ 20.57% ±6.26% 1. d4 d5 2. Nf3      | D02 Queen's Pawn Game
└─ 10.35% ±1.99% 1. d4 Nf6              | A45-A46 Queen's Pawn Game
└─ 4.45%  ±1.31% 1. d4 c5               | A43-A44 Old Benoni Defence
8.60%  ±0.56% 1. d3                     | A00 Mieses Opening
└─ 12.09% ±2.36% 1. d3 e5               | A00 Mieses Opening
7.30%  ±0.52% 1. Nf3                    | A04-A09 Reti Opening
5.85%  ±0.47% 1. a3                     | A00 Anderssen's Opening
4.89%  ±0.43% 1. a4                     | A00 Ware (Meadow Hay) Opening
4.68%  ±0.42% 1. b4                     | A00 Polish (Sokolsky) Opening
4.10%  ±0.40% 1. g3                     | A00 Benko's Opening
4.03%  ±0.39% 1. e3                     | A00 Van't Kruijs Opening
4.01%  ±0.39% 1. c4                     | A10-A39 English Opening
3.94%  ±0.39% 1. h4                     | A00 Anti-Borg (Desprez) Opening
3.83%  ±0.38% 1. Na3                    | A00 Durkin's Attack
3.79%  ±0.38% 1. Nh3                    | A00 Amar (Paris) Opening
3.74%  ±0.38% 1. c3                     | A00 Saragossa Opening
3.61%  ±0.37% 1. h3                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.43%  ±0.36% 1. b3                     | A01 Nimzovich-Larsen Attack
└─ 12.54% ±3.82% 1. b3 d5               | A01 Nimzovich-Larsen Attack, Classical Variation
└─ 11.95% ±3.73% 1. b3 e5               | A01 Nimzovich-Larsen Attack, Modern Variation
3.05%  ±0.34% 1. Nc3                    | A00 Dunst (Sleipner, Heinrichsen) Opening
└─ 8.85%  ±3.40% 1. Nc3 e5              | A00 Dunst (Sleipner,Heinrichsen) Opening
2.64%  ±0.32% 1. f4                     | A02-A03 Bird's Opening
2.47%  ±0.31% 1. g4                     | A00 Grob's Attack
2.26%  ±0.30% 1. f3                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 27 - Gen 19 - 74287cdc

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

12.32% ±0.66% 1. e4                     | B00 King's Pawn Opening
└─ 13.23% ±2.06% 1. e4 e5               | C20 King's Pawn Game
  └─ 21.47% ±7.25% 1. e4 e5 2. Nf3      | C40 King's Knight Opening
└─ 8.04%  ±1.61% 1. e4 a5               | B00 Corn Stalk Defence
└─ 7.39%  ±1.54% 1. e4 Nf6              | B02-B05 Alekhine's Defence
└─ 6.17%  ±1.41% 1. e4 c6               | B10-B19 Caro-Kann Defence
└─ 6.01%  ±1.39% 1. e4 a6               | B00 St. George (Baker) Defence
└─ 5.28%  ±1.30% 1. e4 Nc6              | B00 KP, Nimzovich Defence
└─ 4.87%  ±1.25% 1. e4 e6               | C00-C19 French Defence
└─ 4.63%  ±1.22% 1. e4 g6               | B06 Robatsch (modern) Defence
└─ 4.46%  ±1.20% 1. e4 d5               | B01 Scandinavian (centre Counter) Defence
└─ 4.22%  ±1.17% 1. e4 b6               | B00 Owen Defence
└─ 3.65%  ±1.09% 1. e4 h6               | B00 Carr's Defence
└─ 3.57%  ±1.07% 1. e4 g5               | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
└─ 3.57%  ±1.07% 1. e4 c5               | B20-B99 Sicilian Defence
└─ 2.76%  ±0.94% 1. e4 Na6              | B00 Lemming Defence
└─ 2.11%  ±0.83% 1. e4 f6               | B00 Barnes Defence
└─ 2.11%  ±0.83% 1. e4 f5               | B00 Fred
8.75%  ±0.57% 1. d4                     | A40-A41 Queen's Pawn
└─ 19.43% ±2.95% 1. d4 d5               | D00 Queen's Pawn Game
  └─ 18.82% ±6.64% 1. d4 d5 2. Nf3      | D02 Queen's Pawn Game
└─ 10.97% ±2.23% 1. d4 Nf6              | A45-A46 Queen's Pawn Game
└─ 4.34%  ±1.41% 1. d4 c5               | A43-A44 Old Benoni Defence
8.03%  ±0.54% 1. d3                     | A00 Mieses Opening
└─ 11.71% ±2.40% 1. d3 e5               | A00 Mieses Opening
7.13%  ±0.51% 1. Nf3                    | A04-A09 Reti Opening
6.02%  ±0.48% 1. Na3                    | A00 Durkin's Attack
5.87%  ±0.47% 1. a3                     | A00 Anderssen's Opening
5.47%  ±0.45% 1. g3                     | A00 Benko's Opening
└─ 4.94%  ±1.90% 1. g3 h5               | A00 Lasker Simul Special
4.93%  ±0.43% 1. a4                     | A00 Ware (Meadow Hay) Opening
4.77%  ±0.43% 1. h4                     | A00 Anti-Borg (Desprez) Opening
4.35%  ±0.41% 1. Nh3                    | A00 Amar (Paris) Opening
4.08%  ±0.40% 1. b4                     | A00 Polish (Sokolsky) Opening
└─ 6.37%  ±2.50% 1. b4 c6               | A00 Polish, Outflank Variation
3.94%  ±0.39% 1. e3                     | A00 Van't Kruijs Opening
3.66%  ±0.38% 1. c3                     | A00 Saragossa Opening
3.58%  ±0.37% 1. c4                     | A10-A39 English Opening
3.53%  ±0.37% 1. h3                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.49%  ±0.37% 1. b3                     | A01 Nimzovich-Larsen Attack
└─ 13.75% ±3.96% 1. b3 e5               | A01 Nimzovich-Larsen Attack, Modern Variation
└─ 13.47% ±3.92% 1. b3 d5               | A01 Nimzovich-Larsen Attack, Classical Variation
3.07%  ±0.35% 1. g4                     | A00 Grob's Attack
2.69%  ±0.32% 1. Nc3                    | A00 Dunst (Sleipner, Heinrichsen) Opening
2.26%  ±0.30% 1. f3                     | A00 Gedult's Opening
2.06%  ±0.28% 1. f4                     | A02-A03 Bird's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 33 - c9d2f103

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

20.40% ±0.81% 1. e4                     | B00 King's Pawn Opening
└─ 24.95% ±2.15% 1. e4 e5               | C20 King's Pawn Game
  └─ 25.74% ±4.47% 1. e4 e5 2. Nf3      | C40 King's Knight Opening
  └─ 11.98% ±3.06% 1. e4 e5 2. d3       | C20 KP, Indian Opening
  └─ 7.86%  ±2.48% 1. e4 e5 2. c3       | C20 KP, Lopez Opening
  └─ 6.29%  ±2.22% 1. e4 e5 2. d4 exd4  | C21-C22 Centre Game
  └─ 5.11%  ±2.00% 1. e4 e5 2. Nc3      | C25-C29 Vienna Game
└─ 6.62%  ±1.13% 1. e4 e6               | C00-C19 French Defence
└─ 6.62%  ±1.13% 1. e4 c6               | B10-B19 Caro-Kann Defence
└─ 6.03%  ±1.08% 1. e4 a6               | B00 St. George (Baker) Defence
└─ 4.90%  ±0.98% 1. e4 a5               | B00 Corn Stalk Defence
└─ 4.66%  ±0.95% 1. e4 g6               | B06 Robatsch (modern) Defence
└─ 4.61%  ±0.95% 1. e4 h6               | B00 Carr's Defence
└─ 4.36%  ±0.92% 1. e4 Nc6              | B00 KP, Nimzovich Defence
  └─ 46.07% ±14.36% 1. e4 Nc6 2. d4     | B00 KP, Nimzovich Defence
└─ 4.02%  ±0.88% 1. e4 c5               | B20-B99 Sicilian Defence
└─ 3.33%  ±0.81% 1. e4 Nf6              | B02-B05 Alekhine's Defence
└─ 3.19%  ±0.79% 1. e4 d5               | B01 Scandinavian (centre Counter) Defence
└─ 2.75%  ±0.73% 1. e4 b6               | B00 Owen Defence
└─ 2.65%  ±0.72% 1. e4 Na6              | B00 Lemming Defence
└─ 2.01%  ±0.63% 1. e4 g5               | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
└─ 1.67%  ±0.57% 1. e4 f5               | B00 Fred
└─ 1.47%  ±0.54% 1. e4 f6               | B00 Barnes Defence
14.15% ±0.70% 1. d4                     | A40-A41 Queen's Pawn
└─ 26.15% ±2.67% 1. d4 d5               | D00 Queen's Pawn Game
  └─ 15.14% ±4.03% 1. d4 d5 2. Nf3      | D02 Queen's Pawn Game
└─ 8.69%  ±1.56% 1. d4 Nf6              | A45-A46 Queen's Pawn Game
└─ 3.67%  ±1.02% 1. d4 c5               | A43-A44 Old Benoni Defence
└─ 1.84%  ±0.72% 1. d4 f5               | A80-A99 Dutch
7.97%  ±0.54% 1. d3                     | A00 Mieses Opening
└─ 15.18% ±2.74% 1. d3 e5               | A00 Mieses Opening
7.46%  ±0.53% 1. Nf3                    | A04-A09 Reti Opening
5.08%  ±0.44% 1. e3                     | A00 Van't Kruijs Opening
4.50%  ±0.41% 1. g3                     | A00 Benko's Opening
4.32%  ±0.41% 1. a3                     | A00 Anderssen's Opening
3.75%  ±0.38% 1. a4                     | A00 Ware (Meadow Hay) Opening
3.62%  ±0.37% 1. h3                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.40%  ±0.36% 1. h4                     | A00 Anti-Borg (Desprez) Opening
3.02%  ±0.34% 1. c3                     | A00 Saragossa Opening
2.91%  ±0.34% 1. Nh3                    | A00 Amar (Paris) Opening
2.86%  ±0.33% 1. c4                     | A10-A39 English Opening
2.82%  ±0.33% 1. Nc3                    | A00 Dunst (Sleipner, Heinrichsen) Opening
└─ 10.64% ±3.88% 1. Nc3 e5              | A00 Dunst (Sleipner,Heinrichsen) Opening
2.82%  ±0.33% 1. Na3                    | A00 Durkin's Attack
2.77%  ±0.33% 1. b4                     | A00 Polish (Sokolsky) Opening
2.32%  ±0.30% 1. g4                     | A00 Grob's Attack
2.13%  ±0.29% 1. b3                     | A01 Nimzovich-Larsen Attack
└─ 18.31% ±5.85% 1. b3 e5               | A01 Nimzovich-Larsen Attack, Modern Variation
└─ 12.21% ±4.78% 1. b3 d5               | A01 Nimzovich-Larsen Attack, Classical Variation
2.10%  ±0.29% 1. f4                     | A02-A03 Bird's Opening
1.60%  ±0.25% 1. f3                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 38 - e388c912

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

18.53% ±0.78% 1. e4                             | B00 King's Pawn Opening
 └─ 22.77% ±2.17% 1. e4 e5                      | C20 King's Pawn Game
  └─ 24.64% ±4.81% 1. e4 e5 2. Nf3              | C40 King's Knight Opening
   └─ 25.96% ±9.98% 1. e4 e5 2. Nf3 Nf6         | C42-C43 Petrov's Defence
  └─ 7.35%  ±2.63% 1. e4 e5 2. Nc3              | C25-C29 Vienna Game
  └─ 6.64%  ±2.50% 1. e4 e5 2. a3               | C20 KP, Mengarini's Opening
  └─ 6.40%  ±2.46% 1. e4 e5 2. d3               | C20 KP, Indian Opening
  └─ 6.40%  ±2.46% 1. e4 e5 2. d4 exd4          | C21-C22 Centre Game
 └─ 8.74%  ±1.36% 1. e4 a6                      | B00 St. George (Baker) Defence
 └─ 7.99%  ±1.30% 1. e4 c6                      | B10-B19 Caro-Kann Defence
 └─ 6.42%  ±1.17% 1. e4 e6                      | C00-C19 French Defence
 └─ 5.88%  ±1.12% 1. e4 a5                      | B00 Corn Stalk Defence
 └─ 4.43%  ±0.97% 1. e4 g6                      | B06 Robatsch (modern) Defence
 └─ 4.32%  ±0.96% 1. e4 c5                      | B20-B99 Sicilian Defence
 └─ 4.10%  ±0.94% 1. e4 h6                      | B00 Carr's Defence
 └─ 4.05%  ±0.93% 1. e4 Nf6                     | B02-B05 Alekhine's Defence
 └─ 3.40%  ±0.85% 1. e4 Nc6                     | B00 KP, Nimzovich Defence
 └─ 2.81%  ±0.78% 1. e4 d5                      | B01 Scandinavian (centre Counter) Defence
 └─ 2.75%  ±0.77% 1. e4 b6                      | B00 Owen Defence
 └─ 2.37%  ±0.71% 1. e4 Na6                     | B00 Lemming Defence
 └─ 1.78%  ±0.62% 1. e4 g5                      | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
11.89% ±0.65% 1. d4                             | A40-A41 Queen's Pawn
 └─ 26.91% ±2.96% 1. d4 d5                      | D00 Queen's Pawn Game
  └─ 16.88% ±4.58% 1. d4 d5 2. Nf3              | D02 Queen's Pawn Game
  └─ 9.06%  ±3.36% 1. d4 d5 2. Nc3              | D00 Queen's Pawn, Chigorin Variation
 └─ 12.36% ±2.02% 1. d4 Nf6                     | A45-A46 Queen's Pawn Game
 └─ 3.36%  ±1.06% 1. d4 c5                      | A43-A44 Old Benoni Defence
7.82%  ±0.54% 1. Nf3                            | A04-A09 Reti Opening
7.14%  ±0.51% 1. d3                             | A00 Mieses Opening
 └─ 13.87% ±2.77% 1. d3 e5                      | A00 Mieses Opening
6.61%  ±0.50% 1. g3                             | A00 Benko's Opening
 └─ 3.93%  ±1.54% 1. g3 h5                      | A00 Lasker Simul Special
5.51%  ±0.46% 1. a3                             | A00 Anderssen's Opening
4.97%  ±0.43% 1. e3                             | A00 Van't Kruijs Opening
4.20%  ±0.40% 1. a4                             | A00 Ware (Meadow Hay) Opening
3.50%  ±0.37% 1. Nc3                            | A00 Dunst (Sleipner, Heinrichsen) Opening
 └─ 12.00% ±3.70% 1. Nc3 e5                     | A00 Dunst (Sleipner,Heinrichsen) Opening
3.39%  ±0.36% 1. h4                             | A00 Anti-Borg (Desprez) Opening
3.37%  ±0.36% 1. h3                             | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.18%  ±0.35% 1. c4                             | A10-A39 English Opening
3.17%  ±0.35% 1. c3                             | A00 Saragossa Opening
2.76%  ±0.33% 1. b4                             | A00 Polish (Sokolsky) Opening
2.74%  ±0.33% 1. b3                             | A01 Nimzovich-Larsen Attack
 └─ 22.63% ±5.73% 1. b3 e5                      | A01 Nimzovich-Larsen Attack, Modern Variation
 └─ 13.14% ±4.37% 1. b3 d5                      | A01 Nimzovich-Larsen Attack, Classical Variation
 └─ 9.49%  ±3.72% 1. b3 Nf6                     | A01 Nimzovich-Larsen Attack, Indian Variation
2.69%  ±0.32% 1. g4                             | A00 Grob's Attack
2.62%  ±0.32% 1. Na3                            | A00 Durkin's Attack
2.40%  ±0.31% 1. Nh3                            | A00 Amar (Paris) Opening
2.10%  ±0.29% 1. f4                             | A02-A03 Bird's Opening
1.40%  ±0.23% 1. f3                             | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 40 - 9692c2ac

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

21.20% ±0.82% 1. e4                             | B00 King's Pawn Opening
 └─ 25.09% ±2.12% 1. e4 e5                      | C20 King's Pawn Game
  └─ 32.89% ±4.93% 1. e4 e5 2. Nf3              | C40 King's Knight Opening
   └─ 20.57% ±6.84% 1. e4 e5 2. Nf3 d6          | C41 Philidor's Defence
   └─ 20.57% ±6.84% 1. e4 e5 2. Nf3 Nf6         | C42-C43 Petrov's Defence
  └─ 9.40%  ±2.65% 1. e4 e5 2. d3               | C20 KP, Indian Opening
 └─ 7.41%  ±1.17% 1. e4 c6                      | B10-B19 Caro-Kann Defence
 └─ 6.65%  ±1.11% 1. e4 a5                      | B00 Corn Stalk Defence
 └─ 6.32%  ±1.08% 1. e4 a6                      | B00 St. George (Baker) Defence
 └─ 6.08%  ±1.06% 1. e4 e6                      | C00-C19 French Defence
 └─ 5.38%  ±1.00% 1. e4 g6                      | B06 Robatsch (modern) Defence
 └─ 5.19%  ±0.98% 1. e4 c5                      | B20-B99 Sicilian Defence
 └─ 3.63%  ±0.82% 1. e4 h6                      | B00 Carr's Defence
 └─ 3.40%  ±0.80% 1. e4 Nf6                     | B02-B05 Alekhine's Defence
 └─ 3.35%  ±0.79% 1. e4 Nc6                     | B00 KP, Nimzovich Defence
  └─ 49.30% ±16.64% 1. e4 Nc6 2. d4             | B00 KP, Nimzovich Defence
 └─ 2.88%  ±0.73% 1. e4 d5                      | B01 Scandinavian (centre Counter) Defence
 └─ 2.36%  ±0.67% 1. e4 f5                      | B00 Fred
 └─ 1.98%  ±0.61% 1. e4 b6                      | B00 Owen Defence
 └─ 1.93%  ±0.60% 1. e4 Na6                     | B00 Lemming Defence
 └─ 1.89%  ±0.60% 1. e4 g5                      | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
 └─ 1.27%  ±0.49% 1. e4 f6                      | B00 Barnes Defence
13.86% ±0.69% 1. d4                             | A40-A41 Queen's Pawn
 └─ 24.24% ±2.60% 1. d4 d5                      | D00 Queen's Pawn Game
  └─ 17.56% ±4.56% 1. d4 d5 2. Nf3              | D02 Queen's Pawn Game
 └─ 15.01% ±2.06% 1. d4 Nf6                     | A45-A46 Queen's Pawn Game
 └─ 4.40%  ±1.12% 1. d4 c5                      | A43-A44 Old Benoni Defence
 └─ 2.31%  ±0.81% 1. d4 f5                      | A80-A99 Dutch
9.01%  ±0.57% 1. Nf3                            | A04-A09 Reti Opening
7.47%  ±0.53% 1. d3                             | A00 Mieses Opening
 └─ 12.32% ±2.56% 1. d3 e5                      | A00 Mieses Opening
5.99%  ±0.47% 1. g3                             | A00 Benko's Opening
4.35%  ±0.41% 1. a3                             | A00 Anderssen's Opening
3.91%  ±0.39% 1. a4                             | A00 Ware (Meadow Hay) Opening
3.65%  ±0.38% 1. e3                             | A00 Van't Kruijs Opening
3.56%  ±0.37% 1. c4                             | A10-A39 English Opening
3.43%  ±0.36% 1. h3                             | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.29%  ±0.36% 1. Nc3                            | A00 Dunst (Sleipner, Heinrichsen) Opening
 └─ 13.98% ±4.11% 1. Nc3 e5                     | A00 Dunst (Sleipner,Heinrichsen) Opening
3.28%  ±0.36% 1. h4                             | A00 Anti-Borg (Desprez) Opening
2.93%  ±0.34% 1. c3                             | A00 Saragossa Opening
2.61%  ±0.32% 1. Nh3                            | A00 Amar (Paris) Opening
2.41%  ±0.31% 1. Na3                            | A00 Durkin's Attack
1.96%  ±0.28% 1. f4                             | A02-A03 Bird's Opening
1.93%  ±0.28% 1. b4                             | A00 Polish (Sokolsky) Opening
1.91%  ±0.27% 1. b3                             | A01 Nimzovich-Larsen Attack
 └─ 16.23% ±5.82% 1. b3 e5                      | A01 Nimzovich-Larsen Attack, Modern Variation
 └─ 14.14% ±5.43% 1. b3 Nf6                     | A01 Nimzovich-Larsen Attack, Indian Variation
1.69%  ±0.26% 1. g4                             | A00 Grob's Attack
1.39%  ±0.23% 1. f3                             | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 43 - 8a288da9

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

23.06% ±0.84% 1. e4                             | B00 King's Pawn Opening
 └─ 27.10% ±2.10% 1. e4 e5                      | C20 King's Pawn Game
  └─ 28.96% ±4.27% 1. e4 e5 2. Nf3              | C40 King's Knight Opening
   └─ 22.65% ±7.06% 1. e4 e5 2. Nf3 d6          | C41 Philidor's Defence
   └─ 17.68% ±6.24% 1. e4 e5 2. Nf3 Nf6         | C42-C43 Petrov's Defence
  └─ 9.12%  ±2.41% 1. e4 e5 2. Nc3              | C25-C29 Vienna Game
  └─ 8.00%  ±2.26% 1. e4 e5 2. Bc4              | C23-C24 Bishop's Opening
  └─ 6.40%  ±2.02% 1. e4 e5 2. d3               | C20 KP, Indian Opening
  └─ 5.60%  ±1.89% 1. e4 e5 2. d4 exd4          | C21-C22 Centre Game
 └─ 8.67%  ±1.21% 1. e4 c6                      | B10-B19 Caro-Kann Defence
 └─ 7.55%  ±1.13% 1. e4 e6                      | C00-C19 French Defence
 └─ 5.81%  ±1.00% 1. e4 a6                      | B00 St. George (Baker) Defence
 └─ 5.20%  ±0.94% 1. e4 a5                      | B00 Corn Stalk Defence
 └─ 5.07%  ±0.93% 1. e4 g6                      | B06 Robatsch (modern) Defence
 └─ 4.51%  ±0.88% 1. e4 c5                      | B20-B99 Sicilian Defence
 └─ 3.73%  ±0.80% 1. e4 Nc6                     | B00 KP, Nimzovich Defence
  └─ 41.86% ±13.93% 1. e4 Nc6 2. d4             | B00 KP, Nimzovich Defence
 └─ 3.56%  ±0.78% 1. e4 h6                      | B00 Carr's Defence
 └─ 3.43%  ±0.77% 1. e4 d5                      | B01 Scandinavian (centre Counter) Defence
 └─ 2.99%  ±0.72% 1. e4 Nf6                     | B02-B05 Alekhine's Defence
 └─ 1.95%  ±0.58% 1. e4 b6                      | B00 Owen Defence
 └─ 1.78%  ±0.55% 1. e4 Na6                     | B00 Lemming Defence
 └─ 1.73%  ±0.55% 1. e4 g5                      | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
13.52% ±0.68% 1. d4                             | A40-A41 Queen's Pawn
 └─ 25.22% ±2.68% 1. d4 d5                      | D00 Queen's Pawn Game
  └─ 20.82% ±4.92% 1. d4 d5 2. Nf3              | D02 Queen's Pawn Game
  └─ 7.92%  ±3.04% 1. d4 d5 2. c4               | D06 Queen's Gambit
 └─ 14.28% ±2.04% 1. d4 Nf6                     | A45-A46 Queen's Pawn Game
 └─ 3.03%  ±0.95% 1. d4 c5                      | A43-A44 Old Benoni Defence
 └─ 2.29%  ±0.82% 1. d4 f5                      | A80-A99 Dutch
8.71%  ±0.56% 1. Nf3                            | A04-A09 Reti Opening
6.13%  ±0.48% 1. g3                             | A00 Benko's Opening
 └─ 4.57%  ±1.72% 1. g3 h5                      | A00 Lasker Simul Special
5.94%  ±0.47% 1. d3                             | A00 Mieses Opening
 └─ 14.65% ±3.13% 1. d3 e5                      | A00 Mieses Opening
4.39%  ±0.41% 1. e3                             | A00 Van't Kruijs Opening
3.72%  ±0.38% 1. c4                             | A10-A39 English Opening
3.69%  ±0.38% 1. a4                             | A00 Ware (Meadow Hay) Opening
3.54%  ±0.37% 1. a3                             | A00 Anderssen's Opening
3.52%  ±0.37% 1. Nc3                            | A00 Dunst (Sleipner, Heinrichsen) Opening
 └─ 16.19% ±4.28% 1. Nc3 e5                     | A00 Dunst (Sleipner,Heinrichsen) Opening
3.30%  ±0.36% 1. h3                             | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.09%  ±0.35% 1. h4                             | A00 Anti-Borg (Desprez) Opening
3.00%  ±0.34% 1. Nh3                            | A00 Amar (Paris) Opening
2.98%  ±0.34% 1. c3                             | A00 Saragossa Opening
2.34%  ±0.30% 1. Na3                            | A00 Durkin's Attack
2.20%  ±0.29% 1. g4                             | A00 Grob's Attack
1.90%  ±0.27% 1. b3                             | A01 Nimzovich-Larsen Attack
 └─ 23.68% ±7.05% 1. b3 e5                      | A01 Nimzovich-Larsen Attack, Modern Variation
1.86%  ±0.27% 1. b4                             | A00 Polish (Sokolsky) Opening
1.67%  ±0.26% 1. f4                             | A02-A03 Bird's Opening
1.20%  ±0.22% 1. f3                             | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 61 - 860fa9b7

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

24.13% ±0.86% 1. e4                                 | B00 King's Pawn Opening
 └─ 23.37% ±1.91% 1. e4 e5                          | C20 King's Pawn Game
  └─ 42.02% ±5.39% 1. e4 e5 2. Nf3                  | C40 King's Knight Opening
   └─ 37.55% ±7.93% 1. e4 e5 2. Nf3 d6              | C41 Philidor's Defence
    └─ 41.57% ±13.64% 1. e4 e5 2. Nf3 d6 3. d4      | C41 Philidor's Defence
     └─ 83.78% ±30.05% 1. e4 e5 2. Nf3 d6 3. d4 exd4    | C41 Philidor, Exchange Variation
   └─ 21.10% ±5.95% 1. e4 e5 2. Nf3 Nf6             | C42-C43 Petrov's Defence
   └─ 20.68% ±5.89% 1. e4 e5 2. Nf3 Nc6             | C44 King's Pawn Game
  └─ 7.98%  ±2.37% 1. e4 e5 2. d3                   | C20 KP, Indian Opening
  └─ 7.45%  ±2.29% 1. e4 e5 2. d4 exd4              | C21-C22 Centre Game
  └─ 6.74%  ±2.18% 1. e4 e5 2. Nc3                  | C25-C29 Vienna Game
 └─ 11.02% ±1.33% 1. e4 e6                          | C00-C19 French Defence
 └─ 7.87%  ±1.13% 1. e4 c6                          | B10-B19 Caro-Kann Defence
 └─ 7.34%  ±1.09% 1. e4 g6                          | B06 Robatsch (modern) Defence
 └─ 6.05%  ±0.99% 1. e4 a6                          | B00 St. George (Baker) Defence
 └─ 5.72%  ±0.97% 1. e4 c5                          | B20-B99 Sicilian Defence
 └─ 4.02%  ±0.81% 1. e4 h6                          | B00 Carr's Defence
 └─ 3.81%  ±0.79% 1. e4 a5                          | B00 Corn Stalk Defence
 └─ 2.86%  ±0.69% 1. e4 Nc6                         | B00 KP, Nimzovich Defence
  └─ 66.67% ±19.61% 1. e4 Nc6 2. d4                 | B00 KP, Nimzovich Defence
 └─ 2.65%  ±0.66% 1. e4 Nf6                         | B02-B05 Alekhine's Defence
 └─ 2.28%  ±0.61% 1. e4 d5                          | B01 Scandinavian (centre Counter) Defence
 └─ 1.91%  ±0.56% 1. e4 Na6                         | B00 Lemming Defence
 └─ 1.74%  ±0.54% 1. e4 b6                          | B00 Owen Defence
 └─ 1.49%  ±0.50% 1. e4 f6                          | B00 Barnes Defence
 └─ 1.08%  ±0.42% 1. e4 f5                          | B00 Fred
16.10% ±0.74% 1. d4                                 | A40-A41 Queen's Pawn
 └─ 23.73% ±2.38% 1. d4 Nf6                         | A45-A46 Queen's Pawn Game
  └─ 8.64%  ±3.00% 1. d4 Nf6 2. c4                  | A50 Queen's Pawn Game
 └─ 18.14% ±2.09% 1. d4 d5                          | D00 Queen's Pawn Game
  └─ 24.32% ±5.75% 1. d4 d5 2. Nf3                  | D02 Queen's Pawn Game
   └─ 38.03% ±14.62% 1. d4 d5 2. Nf3 Nf6            | D02 Queen's Pawn Game
  └─ 19.86% ±5.20% 1. d4 d5 2. c4                   | D06 Queen's Gambit
 └─ 3.98%  ±0.99% 1. d4 c5                          | A43-A44 Old Benoni Defence
11.40% ±0.64% 1. Nf3                                | A04-A09 Reti Opening
5.96%  ±0.47% 1. g3                                 | A00 Benko's Opening
5.72%  ±0.46% 1. d3                                 | A00 Mieses Opening
 └─ 9.79%  ±2.61% 1. d3 e5                          | A00 Mieses Opening
4.36%  ±0.41% 1. e3                                 | A00 Van't Kruijs Opening
3.70%  ±0.38% 1. h3                                 | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.28%  ±0.36% 1. c4                                 | A10-A39 English Opening
3.11%  ±0.35% 1. a3                                 | A00 Anderssen's Opening
3.06%  ±0.34% 1. Nc3                                | A00 Dunst (Sleipner, Heinrichsen) Opening
 └─ 10.78% ±3.75% 1. Nc3 e5                         | A00 Dunst (Sleipner,Heinrichsen) Opening
2.80%  ±0.33% 1. a4                                 | A00 Ware (Meadow Hay) Opening
2.75%  ±0.33% 1. c3                                 | A00 Saragossa Opening
2.62%  ±0.32% 1. Nh3                                | A00 Amar (Paris) Opening
2.45%  ±0.31% 1. h4                                 | A00 Anti-Borg (Desprez) Opening
1.79%  ±0.27% 1. Na3                                | A00 Durkin's Attack
1.71%  ±0.26% 1. f4                                 | A02-A03 Bird's Opening
1.46%  ±0.24% 1. g4                                 | A00 Grob's Attack
1.44%  ±0.24% 1. b3                                 | A01 Nimzovich-Larsen Attack
 └─ 27.78% ±8.77% 1. b3 e5                          | A01 Nimzovich-Larsen Attack, Modern Variation
1.04%  ±0.20% 1. f3                                 | A00 Gedult's Opening
1.03%  ±0.20% 1. b4                                 | A00 Polish (Sokolsky) Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 65 - d5a36da3

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are relative to the parent opening. So 10% 1. e4 e5 means that 10% of the time that white played e4, black responded with e5.

28.96% ±0.91% 1. e4                                     | B00 King's Pawn Opening
 └─ 29.66% ±1.94% 1. e4 e5                              | C20 King's Pawn Game
  └─ 47.26% ±4.60% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 33.25% ±5.68% 1. e4 e5 2. Nf3 d6              | C41 Philidor's Defence
    └─ 37.04% ±10.45% 1. e4 e5 2. Nf3 d6 3. d4      | C41 Philidor's Defence
     └─ 72.00% ±23.96% 1. e4 e5 2. Nf3 d6 3. d4 exd4    | C41 Philidor, Exchange Variation
      └─ 72.22% ±28.29% 1. e4 e5 2. Nf3 d6 3. d4 exd4 4. Nxd4| C41 Philidor, Exchange Variation
   └─ 32.76% ±5.64% 1. e4 e5 2. Nf3 Nc6             | C44 King's Pawn Game
    └─ 27.07% ±9.01% 1. e4 e5 2. Nf3 Nc6 3. Nc3     | C46 Three Knights Game
    └─ 26.32% ±8.88% 1. e4 e5 2. Nf3 Nc6 3. d4      | C44 Scotch Opening
   └─ 13.79% ±3.68% 1. e4 e5 2. Nf3 Nf6             | C42-C43 Petrov's Defence
  └─ 10.59% ±2.21% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
  └─ 6.05%  ±1.67% 1. e4 e5 2. d3                       | C20 KP, Indian Opening
  └─ 5.59%  ±1.61% 1. e4 e5 2. d4 exd4                  | C21-C22 Centre Game
  └─ 3.26%  ±1.23% 1. e4 e5 2. Bc4                      | C23-C24 Bishop's Opening
 └─ 11.53% ±1.24% 1. e4 e6                              | C00-C19 French Defence
 └─ 8.22%  ±1.05% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 8.05%  ±1.04% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 7.60%  ±1.01% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 4.35%  ±0.77% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 2.80%  ±0.62% 1. e4 h6                              | B00 Carr's Defence
 └─ 2.80%  ±0.62% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 66.67% ±18.10% 1. e4 Nc6 2. d4                     | B00 KP, Nimzovich Defence
 └─ 2.59%  ±0.60% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 2.49%  ±0.58% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 2.18%  ±0.55% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
 └─ 1.48%  ±0.45% 1. e4 Na6                             | B00 Lemming Defence
 └─ 1.45%  ±0.45% 1. e4 b6                              | B00 Owen Defence
 └─ 1.14%  ±0.40% 1. e4 g5                              | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
 └─ 0.90%  ±0.35% 1. e4 f6                              | B00 Barnes Defence
16.15% ±0.74% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 29.04% ±2.62% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 11.51% ±3.13% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
 └─ 20.80% ±2.23% 1. d4 d5                              | D00 Queen's Pawn Game
  └─ 25.30% ±5.46% 1. d4 d5 2. Nf3                      | D02 Queen's Pawn Game
  └─ 15.48% ±4.28% 1. d4 d5 2. c4                       | D06 Queen's Gambit
 └─ 5.02%  ±1.11% 1. d4 c5                              | A43-A44 Old Benoni Defence
12.21% ±0.65% 1. Nf3                                    | A04-A09 Reti Opening
5.38%  ±0.45% 1. g3                                     | A00 Benko's Opening
4.74%  ±0.42% 1. d3                                     | A00 Mieses Opening
 └─ 13.50% ±3.36% 1. d3 e5                              | A00 Mieses Opening
3.70%  ±0.38% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
 └─ 8.65%  ±3.05% 1. Nc3 e5                             | A00 Dunst (Sleipner,Heinrichsen) Opening
3.41%  ±0.36% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
3.11%  ±0.35% 1. e3                                     | A00 Van't Kruijs Opening
3.08%  ±0.35% 1. c4                                     | A10-A39 English Opening
2.92%  ±0.34% 1. a3                                     | A00 Anderssen's Opening
2.65%  ±0.32% 1. c3                                     | A00 Saragossa Opening
2.32%  ±0.30% 1. a4                                     | A00 Ware (Meadow Hay) Opening
1.97%  ±0.28% 1. Nh3                                    | A00 Amar (Paris) Opening
1.77%  ±0.26% 1. Na3                                    | A00 Durkin's Attack
1.74%  ±0.26% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
1.57%  ±0.25% 1. f4                                     | A02-A03 Bird's Opening
1.38%  ±0.23% 1. g4                                     | A00 Grob's Attack
1.25%  ±0.22% 1. b3                                     | A01 Nimzovich-Larsen Attack
 └─ 28.80% ±9.58% 1. b3 e5                              | A01 Nimzovich-Larsen Attack, Modern Variation
0.83%  ±0.18% 1. b4                                     | A00 Polish (Sokolsky) Opening
0.82%  ±0.18% 1. f3                                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 77 - ec518f55

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are absolute percentages.

33.81% ±0.95% 1. e4                                     | B00 King's Pawn Opening
 └─ 9.19%  ±0.58% 1. e4 e5                              | C20 King's Pawn Game
  └─ 4.42%  ±0.41% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 1.95%  ±0.28% 1. e4 e5 2. Nf3 Nc6             | C44 King's Pawn Game
    └─ 0.76%  ±0.17% 1. e4 e5 2. Nf3 Nc6 3. Nc3     | C46 Three Knights Game
     └─ 0.34%  ±0.12% 1. e4 e5 2. Nf3 Nc6 3. Nc3 Nf6    | C46 Four Knights Game
    └─ 0.61%  ±0.16% 1. e4 e5 2. Nf3 Nc6 3. d4      | C44 Scotch Opening
     └─ 0.32%  ±0.11% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4| C45 Scotch Game
   └─ 0.86%  ±0.18% 1. e4 e5 2. Nf3 d6              | C41 Philidor's Defence
    └─ 0.47%  ±0.14% 1. e4 e5 2. Nf3 d6 3. d4       | C41 Philidor's Defence
     └─ 0.27%  ±0.10% 1. e4 e5 2. Nf3 d6 3. d4 exd4     | C41 Philidor, Exchange Variation
   └─ 0.86%  ±0.18% 1. e4 e5 2. Nf3 Nf6             | C42-C43 Petrov's Defence
  └─ 1.27%  ±0.22% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
  └─ 0.34%  ±0.12% 1. e4 e5 2. d3                       | C20 KP, Indian Opening
  └─ 0.33%  ±0.11% 1. e4 e5 2. Bc4                      | C23-C24 Bishop's Opening
  └─ 0.33%  ±0.11% 1. e4 e5 2. d4 exd4                  | C21-C22 Centre Game
  └─ 0.26%  ±0.10% 1. e4 e5 2. Ne2                      | C20 Alapin's Opening
 └─ 5.41%  ±0.45% 1. e4 e6                              | C00-C19 French Defence
 └─ 4.33%  ±0.41% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 2.29%  ±0.30% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 2.08%  ±0.29% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 1.31%  ±0.23% 1. e4 h6                              | B00 Carr's Defence
 └─ 1.23%  ±0.22% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 1.04%  ±0.20% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 0.97%  ±0.20% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 0.71%  ±0.17% 1. e4 Nc6 2. d4                      | B00 KP, Nimzovich Defence
 └─ 0.67%  ±0.16% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 0.58%  ±0.15% 1. e4 Na6                             | B00 Lemming Defence
 └─ 0.53%  ±0.15% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
 └─ 0.30%  ±0.11% 1. e4 b6                              | B00 Owen Defence
17.22% ±0.76% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 5.45%  ±0.45% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 0.94%  ±0.19% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
 └─ 3.37%  ±0.36% 1. d4 d5                              | D00 Queen's Pawn Game
  └─ 1.08%  ±0.21% 1. d4 d5 2. Nf3                      | D02 Queen's Pawn Game
   └─ 0.46%  ±0.14% 1. d4 d5 2. Nf3 Nf6                 | D02 Queen's Pawn Game
  └─ 0.56%  ±0.15% 1. d4 d5 2. c4                       | D06 Queen's Gambit
 └─ 0.71%  ±0.17% 1. d4 c5                              | A43-A44 Old Benoni Defence
11.84% ±0.65% 1. Nf3                                    | A04-A09 Reti Opening
4.60%  ±0.42% 1. g3                                     | A00 Benko's Opening
3.88%  ±0.39% 1. c4                                     | A10-A39 English Opening
3.43%  ±0.36% 1. d3                                     | A00 Mieses Opening
 └─ 0.27%  ±0.10% 1. d3 e5                              | A00 Mieses Opening
3.31%  ±0.36% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
3.29%  ±0.36% 1. e3                                     | A00 Van't Kruijs Opening
2.88%  ±0.33% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
2.88%  ±0.33% 1. c3                                     | A00 Saragossa Opening
2.59%  ±0.32% 1. a3                                     | A00 Anderssen's Opening
2.12%  ±0.29% 1. a4                                     | A00 Ware (Meadow Hay) Opening
1.52%  ±0.24% 1. Na3                                    | A00 Durkin's Attack
1.13%  ±0.21% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
1.08%  ±0.21% 1. Nh3                                    | A00 Amar (Paris) Opening
1.02%  ±0.20% 1. g4                                     | A00 Grob's Attack
0.94%  ±0.19% 1. f4                                     | A02-A03 Bird's Opening
0.93%  ±0.19% 1. b4                                     | A00 Polish (Sokolsky) Opening
0.74%  ±0.17% 1. b3                                     | A01 Nimzovich-Larsen Attack
0.67%  ±0.16% 1. f3                                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



Id 107 - c7479f15

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are absolute percentages.

58.81% ±0.98% 1. e4                                     | B00 King's Pawn Opening
 └─ 24.29% ±0.86% 1. e4 e6                              | C00-C19 French Defence
 └─ 18.33% ±0.77% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 4.48%  ±0.41% 1. e4 e5                              | C20 King's Pawn Game
  └─ 3.06%  ±0.34% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 1.95%  ±0.28% 1. e4 e5 2. Nf3 Nf6             | C42-C43 Petrov's Defence
   └─ 0.43%  ±0.13% 1. e4 e5 2. Nf3 Nc6             | C44 King's Pawn Game
    └─ 0.36%  ±0.12% 1. e4 e5 2. Nf3 Nc6 3. d4      | C44 Scotch Opening
     └─ 0.28%  ±0.11% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4| C45 Scotch Game
  └─ 0.75%  ±0.17% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
 └─ 1.67%  ±0.26% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 1.16%  ±0.21% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 1.11%  ±0.21% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 1.05%  ±0.20% 1. e4 h6                              | B00 Carr's Defence
 └─ 0.73%  ±0.17% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 0.66%  ±0.16% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 0.47%  ±0.14% 1. e4 Nc6 2. d4                      | B00 KP, Nimzovich Defence
 └─ 0.60%  ±0.15% 1. e4 b6                              | B00 Owen Defence
 └─ 0.60%  ±0.15% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 0.56%  ±0.15% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
 └─ 0.42%  ±0.13% 1. e4 Na6                             | B00 Lemming Defence
 └─ 0.28%  ±0.11% 1. e4 f5                              | B00 Fred
7.98%  ±0.54% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 3.40%  ±0.36% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 0.99%  ±0.20% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
   └─ 0.37%  ±0.12% 1. d4 Nf6 2. c4 e6              | E00 Queen's Pawn Game
 └─ 2.49%  ±0.31% 1. d4 d5                              | D00 Queen's Pawn Game
  └─ 0.58%  ±0.15% 1. d4 d5 2. Nf3                      | D02 Queen's Pawn Game
   └─ 0.27%  ±0.10% 1. d4 d5 2. Nf3 Nf6             | D02 Queen's Pawn Game
  └─ 0.54%  ±0.15% 1. d4 d5 2. c4                       | D06 Queen's Gambit
 └─ 0.36%  ±0.12% 1. d4 c5                              | A43-A44 Old Benoni Defence
5.20%  ±0.44% 1. Nf3                                    | A04-A09 Reti Opening
3.57%  ±0.37% 1. c4                                     | A10-A39 English Opening
3.07%  ±0.35% 1. g3                                     | A00 Benko's Opening
2.67%  ±0.32% 1. e3                                     | A00 Van't Kruijs Opening
2.59%  ±0.32% 1. c3                                     | A00 Saragossa Opening
2.11%  ±0.29% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
2.08%  ±0.29% 1. d3                                     | A00 Mieses Opening
2.05%  ±0.28% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
2.01%  ±0.28% 1. a4                                     | A00 Ware (Meadow Hay) Opening
1.77%  ±0.26% 1. a3                                     | A00 Anderssen's Opening
0.96%  ±0.20% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
0.92%  ±0.19% 1. b4                                     | A00 Polish (Sokolsky) Opening
0.90%  ±0.19% 1. f4                                     | A02-A03 Bird's Opening
0.90%  ±0.19% 1. b3                                     | A01 Nimzovich-Larsen Attack
 └─ 0.58%  ±0.15% 1. b3 e5                              | A01 Nimzovich-Larsen Attack, Modern Variation
0.83%  ±0.18% 1. Nh3                                    | A00 Amar (Paris) Opening
0.60%  ±0.15% 1. Na3                                    | A00 Durkin's Attack
0.49%  ±0.14% 1. g4                                     | A00 Grob's Attack
0.39%  ±0.12% 1. f3                                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



ID 125

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are absolute percentages.

30.44% ±0.92% 1. e4                                     | B00 King's Pawn Opening
 └─ 13.07% ±0.68% 1. e4 e6                              | C00-C19 French Defence
 └─ 10.19% ±0.61% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 2.28%  ±0.30% 1. e4 e5                              | C20 King's Pawn Game
  └─ 1.37%  ±0.23% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 0.90%  ±0.19% 1. e4 e5 2. Nf3 Nf6         | C42-C43 Petrov's Defence
  └─ 0.48%  ±0.14% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
 └─ 0.60%  ±0.15% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 0.52%  ±0.14% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 0.35%  ±0.12% 1. e4 Nc6 2. d4                      | B00 KP, Nimzovich Defence
 └─ 0.43%  ±0.13% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 0.38%  ±0.12% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 0.35%  ±0.12% 1. e4 b6                              | B00 Owen Defence
 └─ 0.34%  ±0.12% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 0.26%  ±0.10% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
 └─ 0.26%  ±0.10% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 0.25%  ±0.10% 1. e4 h6                              | B00 Carr's Defence
17.38% ±0.76% 1. e3                                     | A00 Van't Kruijs Opening
10.05% ±0.60% 1. Nf3                                    | A04-A09 Reti Opening
9.26%  ±0.58% 1. c4                                     | A10-A39 English Opening
9.23%  ±0.58% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 3.83%  ±0.38% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 0.77%  ±0.18% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
   └─ 0.50%  ±0.14% 1. d4 Nf6 2. c4 e6          | E00 Queen's Pawn Game
 └─ 3.10%  ±0.35% 1. d4 d5                              | D00 Queen's Pawn Game
  └─ 0.66%  ±0.16% 1. d4 d5 2. Nf3                      | D02 Queen's Pawn Game
   └─ 0.29%  ±0.11% 1. d4 d5 2. Nf3 Nf6         | D02 Queen's Pawn Game
  └─ 0.59%  ±0.15% 1. d4 d5 2. c4                       | D06 Queen's Gambit
   └─ 0.41%  ±0.13% 1. d4 d5 2. c4 e6           | D30-D42 Queen's Gambit Declined
3.45%  ±0.37% 1. a3                                     | A00 Anderssen's Opening
2.69%  ±0.32% 1. b4                                     | A00 Polish (Sokolsky) Opening
2.19%  ±0.29% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
2.11%  ±0.29% 1. g3                                     | A00 Benko's Opening
2.10%  ±0.29% 1. d3                                     | A00 Mieses Opening
 └─ 0.36%  ±0.12% 1. d3 e5                              | A00 Mieses Opening
2.06%  ±0.28% 1. b3                                     | A01 Nimzovich-Larsen Attack
 └─ 1.34%  ±0.23% 1. b3 e5                              | A01 Nimzovich-Larsen Attack, Modern Variation
1.65%  ±0.25% 1. a4                                     | A00 Ware (Meadow Hay) Opening
1.53%  ±0.25% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
1.36%  ±0.23% 1. c3                                     | A00 Saragossa Opening
1.25%  ±0.22% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
1.05%  ±0.20% 1. Na3                                    | A00 Durkin's Attack
0.69%  ±0.17% 1. Nh3                                    | A00 Amar (Paris) Opening
0.49%  ±0.14% 1. f4                                     | A02-A03 Bird's Opening
0.46%  ±0.14% 1. f3                                     | A00 Gedult's Opening
0.33%  ±0.12% 1. g4                                     | A00 Grob's Attack

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



ID 135

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are absolute percentages.

40.88% ±0.98% 1. e4                                     | B00 King's Pawn Opening
 └─ 13.66% ±0.69% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 12.85% ±0.67% 1. e4 e6                              | C00-C19 French Defence
 └─ 3.54%  ±0.37% 1. e4 e5                              | C20 King's Pawn Game
  └─ 2.25%  ±0.30% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 1.12%  ±0.21% 1. e4 e5 2. Nf3 Nf6         | C42-C43 Petrov's Defence
   └─ 0.44%  ±0.13% 1. e4 e5 2. Nf3 Nc6         | C44 King's Pawn Game
    └─ 0.37%  ±0.12% 1. e4 e5 2. Nf3 Nc6 3. d4  | C44 Scotch Opening
   └─ 0.33%  ±0.11% 1. e4 e5 2. Nf3 d6          | C41 Philidor's Defence
  └─ 0.47%  ±0.14% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
 └─ 1.11%  ±0.21% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 0.96%  ±0.20% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 0.90%  ±0.19% 1. e4 h6                              | B00 Carr's Defence
 └─ 0.90%  ±0.19% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 0.60%  ±0.15% 1. e4 Nc6 2. d4                      | B00 KP, Nimzovich Defence
 └─ 0.88%  ±0.19% 1. e4 b6                              | B00 Owen Defence
 └─ 0.77%  ±0.17% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
 └─ 0.70%  ±0.17% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 0.69%  ±0.17% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 0.58%  ±0.15% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 0.35%  ±0.12% 1. e4 g5                              | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
 └─ 0.32%  ±0.11% 1. e4 Na6                             | B00 Lemming Defence
 └─ 0.29%  ±0.11% 1. e4 f5                              | B00 Fred
11.37% ±0.63% 1. c4                                     | A10-A39 English Opening
8.51%  ±0.56% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 3.08%  ±0.35% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 1.04%  ±0.20% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
   └─ 0.48%  ±0.14% 1. d4 Nf6 2. c4 e6          | E00 Queen's Pawn Game
 └─ 2.54%  ±0.31% 1. d4 d5                              | D00 Queen's Pawn Game
  └─ 0.81%  ±0.18% 1. d4 d5 2. c4                       | D06 Queen's Gambit
   └─ 0.49%  ±0.14% 1. d4 d5 2. c4 dxc4         | D20-D29 Queen's Gambit Accepted
  └─ 0.37%  ±0.12% 1. d4 d5 2. Nf3                      | D02 Queen's Pawn Game
 └─ 0.39%  ±0.12% 1. d4 c5                              | A43-A44 Old Benoni Defence
8.35%  ±0.55% 1. e3                                     | A00 Van't Kruijs Opening
6.70%  ±0.50% 1. Nf3                                    | A04-A09 Reti Opening
2.68%  ±0.32% 1. d3                                     | A00 Mieses Opening
 └─ 0.37%  ±0.12% 1. d3 e5                              | A00 Mieses Opening
2.27%  ±0.30% 1. c3                                     | A00 Saragossa Opening
2.03%  ±0.28% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
1.94%  ±0.28% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
1.89%  ±0.27% 1. b4                                     | A00 Polish (Sokolsky) Opening
1.87%  ±0.27% 1. a3                                     | A00 Anderssen's Opening
1.85%  ±0.27% 1. g3                                     | A00 Benko's Opening
1.69%  ±0.26% 1. b3                                     | A01 Nimzovich-Larsen Attack
 └─ 0.80%  ±0.18% 1. b3 e5                              | A01 Nimzovich-Larsen Attack, Modern Variation
1.37%  ±0.23% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
1.37%  ±0.23% 1. f4                                     | A02-A03 Bird's Opening
1.22%  ±0.22% 1. g4                                     | A00 Grob's Attack
1.17%  ±0.22% 1. a4                                     | A00 Ware (Meadow Hay) Opening
0.95%  ±0.19% 1. f3                                     | A00 Gedult's Opening
0.93%  ±0.19% 1. Na3                                    | A00 Durkin's Attack
0.85%  ±0.18% 1. Nh3                                    | A00 Amar (Paris) Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



ID 160

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are absolute percentages.

52.39% ±1.00% 1. e4                                     | B00 King's Pawn Opening
 └─ 19.59% ±0.79% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 11.75% ±0.64% 1. e4 e6                              | C00-C19 French Defence
 └─ 3.72%  ±0.38% 1. e4 e5                              | C20 King's Pawn Game
  └─ 2.55%  ±0.32% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 1.08%  ±0.21% 1. e4 e5 2. Nf3 Nf6                 | C42-C43 Petrov's Defence
   └─ 0.79%  ±0.18% 1. e4 e5 2. Nf3 d6                  | C41 Philidor's Defence
   └─ 0.47%  ±0.14% 1. e4 e5 2. Nf3 Nc6                 | C44 King's Pawn Game
    └─ 0.38%  ±0.12% 1. e4 e5 2. Nf3 Nc6 3. d4          | C44 Scotch Opening
  └─ 0.36%  ±0.12% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
 └─ 1.92%  ±0.27% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 1.85%  ±0.27% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 1.79%  ±0.27% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 1.39%  ±0.23% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 0.81%  ±0.18% 1. e4 Nc6 2. d4                      | B00 KP, Nimzovich Defence
  └─ 0.33%  ±0.11% 1. e4 Nc6 2. Nf3                     | B00 KP, Nimzovich Defence
 └─ 1.16%  ±0.21% 1. e4 h6                              | B00 Carr's Defence
 └─ 1.01%  ±0.20% 1. e4 b6                              | B00 Owen Defence
 └─ 1.00%  ±0.20% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 0.89%  ±0.19% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
  └─ 0.48%  ±0.14% 1. e4 d5 2. exd5 Nf6                 | B01 Scandinavian Defence
 └─ 0.76%  ±0.17% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 0.48%  ±0.14% 1. e4 Na6                             | B00 Lemming Defence
 └─ 0.41%  ±0.13% 1. e4 g5                              | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
 └─ 0.30%  ±0.11% 1. e4 f5                              | B00 Fred
 └─ 0.27%  ±0.10% 1. e4 f6                              | B00 Barnes Defence
7.90%  ±0.54% 1. c4                                     | A10-A39 English Opening
7.87%  ±0.54% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 3.30%  ±0.36% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 1.15%  ±0.21% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
   └─ 0.39%  ±0.12% 1. d4 Nf6 2. c4 e6                  | E00 Queen's Pawn Game
 └─ 2.25%  ±0.30% 1. d4 d5                              | D00 Queen's Pawn Game
  └─ 0.94%  ±0.19% 1. d4 d5 2. c4                       | D06 Queen's Gambit
   └─ 0.67%  ±0.16% 1. d4 d5 2. c4 dxc4                 | D20-D29 Queen's Gambit Accepted
  └─ 0.39%  ±0.12% 1. d4 d5 2. Nf3                      | D02 Queen's Pawn Game
 └─ 0.29%  ±0.11% 1. d4 c5                              | A43-A44 Old Benoni Defence
5.94%  ±0.47% 1. Nf3                                    | A04-A09 Reti Opening
3.98%  ±0.39% 1. e3                                     | A00 Van't Kruijs Opening
2.41%  ±0.31% 1. c3                                     | A00 Saragossa Opening
2.38%  ±0.30% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
2.06%  ±0.28% 1. g3                                     | A00 Benko's Opening
1.97%  ±0.28% 1. d3                                     | A00 Mieses Opening
1.87%  ±0.27% 1. b4                                     | A00 Polish (Sokolsky) Opening
1.68%  ±0.26% 1. a3                                     | A00 Anderssen's Opening
1.48%  ±0.24% 1. b3                                     | A01 Nimzovich-Larsen Attack
 └─ 0.35%  ±0.12% 1. b3 e5                              | A01 Nimzovich-Larsen Attack, Modern Variation
1.47%  ±0.24% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
1.37%  ±0.23% 1. f4                                     | A02-A03 Bird's Opening
1.08%  ±0.21% 1. a4                                     | A00 Ware (Meadow Hay) Opening
1.03%  ±0.20% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
0.90%  ±0.19% 1. Na3                                    | A00 Durkin's Attack
0.77%  ±0.17% 1. Nh3                                    | A00 Amar (Paris) Opening
0.70%  ±0.17% 1. g4                                     | A00 Grob's Attack
0.65%  ±0.16% 1. f3                                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



ID 180

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are absolute percentages.

65.65% ±0.95% 1. e4                                     | B00 King's Pawn Opening
 └─ 18.39% ±0.77% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 11.65% ±0.64% 1. e4 e5                              | C20 King's Pawn Game
  └─ 7.99%  ±0.54% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 4.03%  ±0.39% 1. e4 e5 2. Nf3 Nc6                 | C44 King's Pawn Game
    └─ 1.93%  ±0.28% 1. e4 e5 2. Nf3 Nc6 3. d4          | C44 Scotch Opening
     └─ 1.56%  ±0.25% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4| C45 Scotch Game
      └─ 1.10%  ±0.21% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4 Nf6| C45 Scotch, Schmidt Variation
       └─ 0.39%  ±0.12% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4 Nf6 5. Nxc6 bxc6 6. e5| C45 Scotch, Mieses Variation
    └─ 0.45%  ±0.13% 1. e4 e5 2. Nf3 Nc6 3. Nc3         | C46 Three Knights Game
     └─ 0.36%  ±0.12% 1. e4 e5 2. Nf3 Nc6 3. Nc3 Nf6    | C46 Four Knights Game
    └─ 0.45%  ±0.13% 1. e4 e5 2. Nf3 Nc6 3. Bb5         | C60-C99 Ruy Lopez (Spanish Opening)
    └─ 0.27%  ±0.10% 1. e4 e5 2. Nf3 Nc6 3. Bc4         | C50 King's Pawn Game
   └─ 1.92%  ±0.27% 1. e4 e5 2. Nf3 d6                  | C41 Philidor's Defence
    └─ 0.27%  ±0.10% 1. e4 e5 2. Nf3 d6 3. d4           | C41 Philidor's Defence
     └─ 0.26%  ±0.10% 1. e4 e5 2. Nf3 d6 3. d4 exd4     | C41 Philidor, Exchange Variation
   └─ 1.24%  ±0.22% 1. e4 e5 2. Nf3 Nf6                 | C42-C43 Petrov's Defence
  └─ 1.07%  ±0.21% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
 └─ 10.24% ±0.61% 1. e4 e6                              | C00-C19 French Defence
 └─ 2.91%  ±0.34% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 2.82%  ±0.33% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 2.15%  ±0.29% 1. e4 Nc6 2. d4                      | B00 KP, Nimzovich Defence
 └─ 2.46%  ±0.31% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 1.93%  ±0.28% 1. e4 h6                              | B00 Carr's Defence
 └─ 1.77%  ±0.26% 1. e4 b6                              | B00 Owen Defence
 └─ 1.63%  ±0.25% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 1.54%  ±0.25% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 1.30%  ±0.23% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 1.02%  ±0.20% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
  └─ 0.42%  ±0.13% 1. e4 d5 2. exd5 Nf6                 | B01 Scandinavian Defence
 └─ 0.84%  ±0.18% 1. e4 Na6                             | B00 Lemming Defence
 └─ 0.43%  ±0.13% 1. e4 d6 2. d4 Nf6 3. Nc3             | B07-B09 Pirc Defence
 └─ 0.38%  ±0.12% 1. e4 g5                              | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
 └─ 0.38%  ±0.12% 1. e4 f5                              | B00 Fred
 └─ 0.30%  ±0.11% 1. e4 f6                              | B00 Barnes Defence
4.52%  ±0.42% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 1.71%  ±0.26% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 0.59%  ±0.15% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
   └─ 0.31%  ±0.11% 1. d4 Nf6 2. c4 e6                  | E00 Queen's Pawn Game
 └─ 1.68%  ±0.26% 1. d4 d5                              | D00 Queen's Pawn Game
  └─ 0.72%  ±0.17% 1. d4 d5 2. c4                       | D06 Queen's Gambit
   └─ 0.37%  ±0.12% 1. d4 d5 2. c4 dxc4                 | D20-D29 Queen's Gambit Accepted
  └─ 0.31%  ±0.11% 1. d4 d5 2. Nf3                      | D02 Queen's Pawn Game
4.49%  ±0.41% 1. Nf3                                    | A04-A09 Reti Opening
2.82%  ±0.33% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
2.75%  ±0.33% 1. e3                                     | A00 Van't Kruijs Opening
2.31%  ±0.30% 1. c4                                     | A10-A39 English Opening
1.82%  ±0.27% 1. d3                                     | A00 Mieses Opening
1.79%  ±0.27% 1. g3                                     | A00 Benko's Opening
1.66%  ±0.26% 1. a3                                     | A00 Anderssen's Opening
1.63%  ±0.25% 1. c3                                     | A00 Saragossa Opening
1.48%  ±0.24% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
1.43%  ±0.24% 1. f4                                     | A02-A03 Bird's Opening
1.38%  ±0.23% 1. b3                                     | A01 Nimzovich-Larsen Attack
 └─ 0.63%  ±0.16% 1. b3 e5                              | A01 Nimzovich-Larsen Attack, Modern Variation
1.11%  ±0.21% 1. a4                                     | A00 Ware (Meadow Hay) Opening
1.06%  ±0.20% 1. b4                                     | A00 Polish (Sokolsky) Opening
1.05%  ±0.20% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
0.78%  ±0.18% 1. f3                                     | A00 Gedult's Opening
0.74%  ±0.17% 1. Nh3                                    | A00 Amar (Paris) Opening
0.72%  ±0.17% 1. g4                                     | A00 Grob's Attack
0.59%  ±0.15% 1. Na3                                    | A00 Durkin's Attack

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image



ID 193

Opening analysis

Shown, are known human openings that were played more than 0.25% of the time. The probability and errors bars (95% confidence intervals) are absolute percentages.

69.96% ±0.93% 1. e4                                     | B00 King's Pawn Opening
 └─ 29.29% ±0.92% 1. e4 c5                              | B20-B99 Sicilian Defence
 └─ 10.61% ±0.63% 1. e4 e5                              | C20 King's Pawn Game
  └─ 7.94%  ±0.55% 1. e4 e5 2. Nf3                      | C40 King's Knight Opening
   └─ 5.60%  ±0.47% 1. e4 e5 2. Nf3 Nc6                 | C44 King's Pawn Game
    └─ 2.63%  ±0.33% 1. e4 e5 2. Nf3 Nc6 3. Bb5         | C60-C99 Ruy Lopez (Spanish Opening)
    └─ 0.79%  ±0.18% 1. e4 e5 2. Nf3 Nc6 3. Nc3         | C46 Three Knights Game
     └─ 0.53%  ±0.15% 1. e4 e5 2. Nf3 Nc6 3. Nc3 Nf6    | C46 Four Knights Game
    └─ 0.51%  ±0.14% 1. e4 e5 2. Nf3 Nc6 3. d4          | C44 Scotch Opening
     └─ 0.42%  ±0.13% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4| C45 Scotch Game
      └─ 0.32%  ±0.11% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4 Nf6| C45 Scotch, Schmidt Variation
    └─ 0.41%  ±0.13% 1. e4 e5 2. Nf3 Nc6 3. Bc4         | C50 King's Pawn Game
   └─ 0.82%  ±0.18% 1. e4 e5 2. Nf3 d6                  | C41 Philidor's Defence
   └─ 0.63%  ±0.16% 1. e4 e5 2. Nf3 Nf6                 | C42-C43 Petrov's Defence
  └─ 0.66%  ±0.16% 1. e4 e5 2. Nc3                      | C25-C29 Vienna Game
  └─ 0.32%  ±0.11% 1. e4 e5 2. Bc4                      | C23-C24 Bishop's Opening
 └─ 7.28%  ±0.53% 1. e4 e6                              | C00-C19 French Defence
 └─ 2.51%  ±0.32% 1. e4 h6                              | B00 Carr's Defence
 └─ 2.43%  ±0.31% 1. e4 a6                              | B00 St. George (Baker) Defence
 └─ 2.38%  ±0.31% 1. e4 Nc6                             | B00 KP, Nimzovich Defence
  └─ 1.90%  ±0.28% 1. e4 Nc6 2. d4                      | B00 KP, Nimzovich Defence
 └─ 2.27%  ±0.30% 1. e4 g6                              | B06 Robatsch (modern) Defence
 └─ 2.17%  ±0.30% 1. e4 c6                              | B10-B19 Caro-Kann Defence
 └─ 1.84%  ±0.27% 1. e4 b6                              | B00 Owen Defence
 └─ 1.18%  ±0.22% 1. e4 a5                              | B00 Corn Stalk Defence
 └─ 1.17%  ±0.22% 1. e4 Nf6                             | B02-B05 Alekhine's Defence
 └─ 0.89%  ±0.19% 1. e4 d5                              | B01 Scandinavian (centre Counter) Defence
 └─ 0.66%  ±0.16% 1. e4 Na6                             | B00 Lemming Defence
 └─ 0.47%  ±0.14% 1. e4 g5                              | B00 Reversed Grob (Borg/Basman Defence/macho Grob)
 └─ 0.40%  ±0.13% 1. e4 f6                              | B00 Barnes Defence
 └─ 0.33%  ±0.12% 1. e4 d6 2. d4 Nf6 3. Nc3             | B07-B09 Pirc Defence
 └─ 0.32%  ±0.11% 1. e4 f5                              | B00 Fred
3.93%  ±0.40% 1. Nf3                                    | A04-A09 Reti Opening
3.31%  ±0.36% 1. Nc3                                    | A00 Dunst (Sleipner, Heinrichsen) Opening
3.10%  ±0.35% 1. d4                                     | A40-A41 Queen's Pawn
 └─ 1.34%  ±0.23% 1. d4 Nf6                             | A45-A46 Queen's Pawn Game
  └─ 0.32%  ±0.11% 1. d4 Nf6 2. c4                      | A50 Queen's Pawn Game
 └─ 0.98%  ±0.20% 1. d4 d5                              | D00 Queen's Pawn Game
2.14%  ±0.29% 1. e3                                     | A00 Van't Kruijs Opening
2.13%  ±0.29% 1. c4                                     | A10-A39 English Opening
1.87%  ±0.28% 1. g3                                     | A00 Benko's Opening
1.70%  ±0.26% 1. a3                                     | A00 Anderssen's Opening
1.57%  ±0.25% 1. c3                                     | A00 Saragossa Opening
1.53%  ±0.25% 1. b3                                     | A01 Nimzovich-Larsen Attack
 └─ 0.53%  ±0.15% 1. b3 e5                              | A01 Nimzovich-Larsen Attack, Modern Variation
 └─ 0.33%  ±0.12% 1. b3 Nf6                             | A01 Nimzovich-Larsen Attack, Indian Variation
1.39%  ±0.24% 1. h3                                     | A00 Clemenz (Mead's, Basman's Or De Klerk's) Opening
1.37%  ±0.24% 1. d3                                     | A00 Mieses Opening
1.12%  ±0.21% 1. b4                                     | A00 Polish (Sokolsky) Opening
0.93%  ±0.19% 1. f4                                     | A02-A03 Bird's Opening
0.90%  ±0.19% 1. a4                                     | A00 Ware (Meadow Hay) Opening
0.81%  ±0.18% 1. Na3                                    | A00 Durkin's Attack
0.70%  ±0.17% 1. h4                                     | A00 Anti-Borg (Desprez) Opening
0.60%  ±0.16% 1. Nh3                                    | A00 Amar (Paris) Opening
0.49%  ±0.14% 1. g4                                     | A00 Grob's Attack
0.38%  ±0.13% 1. f3                                     | A00 Gedult's Opening

Piece probability over plies

At every ply, the number of times each piece was played is counted and then divided by the total of pieces moved at that ply. The result is then printed as a probability.

image

Castling statistics

Simply the percentage of games where white/black played castles.

King side% = (KsW + KsB) / 2
Queen side% = (QsW + QsB) / 2

image

Castling stats from Lichess games:

  W: 81.77%
  B: 86.38%
W|B: 95.45%
W&B: 72.70%

King movements

This is the probability for each color that the king moves at least once in the first 10 moves. (around 5% for lichess users)

image

First move analysis

Probabilities of white's first move as a function of IDs.

image

Combined stats from lczero.org/stats (ID 4->160)

ezgif com-gif-maker

Most helpful comment

Here is analysis how well Leela is able to follow alpha zero's and Stockfish's moves in the 10 published games from Deemind. Maybe it offers some diagnostic value. At least it convinced me that Leela was learning something during the self-play elo regression period.

EDIT:
It was requested to test how higher playouts effect.
Got following results for 800 vs 100000 playouts for Net ID 81:
A0 38.7% -> 42.5%
SF 35.5% -> 41.6%

UPDATE:
Previous graph was calculated partly with wrong lczero version that caused IDs 55-80 be completely rubbish and 80+ ones be slightly inaccurate. The graph is now recalculated with correct engines for each network. Also simplified the graph as it was getting hard to read.

matching_moves_fix

All 41 comments

Great work, please continue! I can understand your frustration with the forum, it seems that posts regularly vanish due to some mysterious Google policies. Also Github posts just look so much nicer.

Awesome to see it learning the importance of castling by itself :D

The graph is super useful for that.

Sad really that Google Groups don't support editing posts.

It's definitely the best feature of Google Groups. Ideally it also wouldn't allow deletion, and then it would be great.

I'm tired of doing posts on the forum, and I think it's easier for me and everyone if I update them here everytime a new networks goes out. Sad really that Google Groups don't support editing posts.

So you will be deleting old stats?

~You are right that old stats should be available.. I'll see where I can put them. In the meantime I'll just delete them, yeah. I can always recalculate.~

Put them in foldable "\

Concerning the "piece probability over plies" - would it be possible to create such statistics from a database of professional games for comparison? Would be quite interesting ...

It's in my plans to add professional games as a reference, yes. :)

Look at that jump in castling in the last generation, awesome to see!! It's already realizing what took humans centuries to realize.

Added some human games :-)

It seems that humans like to castle even less.

Nice work. Seems that LCzero makes too many early rock and queen moves. But why can't I see the humans castling?

I found similar stats about Vassily Ivanchuk in the internet. Seems that he likes to castle more than average lichess player.

image

Sorry I had forgotten to add the castling ! It is in now :-)

Looks as if black players (even moves) make more early pawn moves than white players. Is this correct?
Strange that the Ivanchuk data seems to suggest the opposite.

Ah, no, pawn moves are at the top of @mooskagh graph. So, yes, seems that black players make more pawns moves than white players in the opening.

Lichess games

  | White | Black | White | Black | White | Black | White | Black | White | Black | White | Black
-- | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- | -- | --
Ply | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
Pawn | 92700 | 85793 | 49652 | 57167 | 46327 | 53240 | 41758 | 41053 | 38072 | 38119 | 33301 | 34899

Would it also be possible to produce graphs like in http://lczero.org/stats? Maybe the reason for a draw is difficult though.

I'm planning on making a gif of thoses, from gen1 to gen15.
EDIT : Done !

Another pattern seems to be that black players prefer knight moves between about move 10-30. Maybe they need to trade their bishops more often against white knights ... interesting.

Added gen16, castling going up ! Openings are becoming less homogenous.
Something that I noted also, is that in lichess games black castles more often.
It could mean that black's castling percentage will become superior to white's percentage, as it's currently inferior. And that will be amazing.

The GIF is a nice addition. A suggestion is to normalize and fix the y axis, so that it shows a more consistent picture of the development of the generations.

Opening analysis from match id 33, as requested by Erdmundr:
Note that this is in _absolute_ mode, probabilities are the true percentage of games.

91.74% ±2.50% 1. e4                                                             | B00 King's Pawn Opening
└─ 91.74% ±2.50% 1. e4 e5                                                       | C20 King's Pawn Game
  └─ 91.12% ±2.59% 1. e4 e5 2. Nf3                                              | C40 King's Knight Opening
    └─ 43.80% ±4.51% 1. e4 e5 2. Nf3 d6                                     | C41 Philidor's Defence
      └─ 43.80% ±4.51% 1. e4 e5 2. Nf3 d6 3. d4                             | C41 Philidor's Defence
        └─ 43.80% ±4.51% 1. e4 e5 2. Nf3 d6 3. d4 exd4                      | C41 Philidor, Exchange Variation
          └─ 43.80% ±4.51% 1. e4 e5 2. Nf3 d6 3. d4 exd4 4. Nxd4                | C41 Philidor, Exchange Variation
            └─ 42.56% ±4.49% 1. e4 e5 2. Nf3 d6 3. d4 exd4 4. Nxd4 Nf6      | C41 Philidor, Exchange Variation
    └─ 42.98% ±4.50% 1. e4 e5 2. Nf3 Nf6                                        | C42-C43 Petrov's Defence
    └─ 3.10%  ±1.58% 1. e4 e5 2. Nf3 Nc6                                        | C44 King's Pawn Game
      └─ 1.45%  ±1.09% 1. e4 e5 2. Nf3 Nc6 3. c3                                | C44 Ponziani Opening
        └─ 1.45%  ±1.09% 1. e4 e5 2. Nf3 Nc6 3. c3 Nf6                      | C44 Ponziani, Jaenisch Counter-attack
          └─ 0.41%  ±0.58% 1. e4 e5 2. Nf3 Nc6 3. c3 Nf6 4. d4 Nxe4 5. d5 Bc5   | C44 Ponziani, Fraser Defence
      └─ 1.03%  ±0.92% 1. e4 e5 2. Nf3 Nc6 3. Nc3                               | C46 Three Knights Game
        └─ 1.03%  ±0.92% 1. e4 e5 2. Nf3 Nc6 3. Nc3 Nf6                     | C46 Four Knights Game
          └─ 0.62%  ±0.71% 1. e4 e5 2. Nf3 Nc6 3. Nc3 Nf6 4. Bc4                | C46 Four Knights, Italian Variation
      └─ 0.41%  ±0.58% 1. e4 e5 2. Nf3 Nc6 3. d4                                | C44 Scotch Opening
        └─ 0.41%  ±0.58% 1. e4 e5 2. Nf3 Nc6 3. d4 exd4 4. Nxd4                 | C45 Scotch Game
    └─ 1.03%  ±0.92% 1. e4 e5 2. Nf3 d5                                     | C40 QP Counter-gambit (elephant Gambit)
  └─ 0.62%  ±0.71% 1. e4 e5 2. d4 exd4                                          | C21-C22 Centre Game
7.64%  ±2.42% 1. d4                                                             | A40-A41 Queen's Pawn
└─ 7.44%  ±2.39% 1. d4 d5                                                       | D00 Queen's Pawn Game
  └─ 6.40%  ±2.23% 1. d4 d5 2. Nf3                                              | D02 Queen's Pawn Game
    └─ 4.34%  ±1.85% 1. d4 d5 2. Nf3 Nf6                                        | D02 Queen's Pawn Game
      └─ 2.07%  ±1.29% 1. d4 d5 2. Nf3 Nf6 3. e3                                | D04-D05 Queen's Pawn Game
0.41%  ±0.58% 1. d3                                                             | A00 Mieses Opening

Added king move stats :-) (and ID 38)

Uploaded ID 40 & 43 !

Uploaded long awaited ID 61 !

Is this based on training games? Or evaluation matches?

Self-play games only

Added ID 65 and 77 :)

Interesting to see how similar the Id77 and Lichess piece-move-probabilities have become. It's all there, casteling between mv 10 and 30, the odd-even (i.e. black-white) saw-tooth like patterns of pawn and knight moves, fascinating. It seems like the humans make more rock moves (and less bishop moves) around moves 40-50, but that's about all I can see concerning the differences.

Here is analysis how well Leela is able to follow alpha zero's and Stockfish's moves in the 10 published games from Deemind. Maybe it offers some diagnostic value. At least it convinced me that Leela was learning something during the self-play elo regression period.

EDIT:
It was requested to test how higher playouts effect.
Got following results for 800 vs 100000 playouts for Net ID 81:
A0 38.7% -> 42.5%
SF 35.5% -> 41.6%

UPDATE:
Previous graph was calculated partly with wrong lczero version that caused IDs 55-80 be completely rubbish and 80+ ones be slightly inaccurate. The graph is now recalculated with correct engines for each network. Also simplified the graph as it was getting hard to read.

matching_moves_fix

Thanks for posting this ! If you could keep it updated that'd be great ! I'm sure lots of people (including me) are very interested to see how it'll change over time :)

Happy to hear you find it interesting. Will surely keep updating it :)

Interesting - can I ask what happened between Id 50 and 55?

A bug happened

Interesting how the 2 graphs have started diverging and Leela is following the A0 path closer than the SF path :)

Added ID 107!

The First move analysis is amazing
can you do also one for black? Given than e4 is played, since its the most played move by white.

Updated main graphs (king movements etc) with data from _all_ networks, it took some time to aggregate everything so I put it online, see here.
Using this I want to try to make the same types of stats as in the AZ paper about openings..
image
(This is from the AZ paper)

Added ID 125 & 135 + general stats from all 10x128 nets

Added ID 160 and general stats from 135->160

Up! 160 -> 193

Updated stats every tenth net from ID 200 to 310

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