Curated examples · precomputed research results

Where the models disagree

Real held-out decisions, selected by fixed rules, not by how well any model does. The goal is not to show that one model wins but to see what signal each one carries: where Stockfish, the human-move model and the statistical baseline agree, and where they pull apart. Qwen3-8B-Base has not been run on the held-out test split yet, so its column here reads “pending” and the two Qwen-specific slots are reserved (a local run on seven demo positions is shown on the home page).

Move 11, White to move · player 2045 vs 1955 · 34 legal moves
8
Black rook on a8
Black queen on d8
Black king on e8
Black rook on h8
7
Black pawn on a7
Black bishop on b7
Black pawn on c7
Black knight on d7
Black bishop on e7
Black pawn on f7
Black pawn on g7
6
Black pawn on b6
Black pawn on d6
Black pawn on e6
Black pawn on h6
5
4
White pawn on d4
White pawn on e4
3
White pawn on c3
White bishop on d3
White knight on f3
Black knight on g3
2
White pawn on a2
White pawn on b2
White knight on d2
White queen on e2
White pawn on f2
White pawn on g2
White pawn on h2
a1
White rook on a1
b
c
d
e
White king on e1
f
g
h
White rook on h1
  • Human played: hxg3
A real held-out decision with the original (presumed-human) move. No substitution was made here.
11. hxg3 — Human played hxg3.
Stockfish
Stockfish's first choice is the played move hxg3 (+0.20).
Statistical
The Regan-inspired reconstruction projects a 47.3% chance that a player of this rating plays Stockfish's first move and 74.8% for a top-3 line (position difficulty 0.55). It assigns no probability to individual moves, so it cannot rank hxg3 against other moves.
Qwen3-8B
Qwen3-8B-Base: pending. The held-out Qwen evaluation has not been run, so no Qwen value is shown here.
Maia-3
Maia-3 (rating 2045) gives hxg3 95.0%, rank #1 of 34; its own top move is hxg3 at 95.0%.
Where they agree
  • The human move, Stockfish's first choice and Maia-3's top move are the same move.
  • Maia-3's top move is Stockfish's first line.
Where they disagree
  • No disagreement among the available signals.

What it means. When the engine's best move is also the move humans of this strength overwhelmingly play, engine agreement carries little information: matching Stockfish here is expected. The Qwen comparison for this position will be added when real Qwen3-8B-Base scores exist.

Sentences are generated from the stored numbers by fixed rules (no language model writes them).

Every model's output for the legal moves of this position
MoveEngine rankEngine evalStatistical baselineQwen3-8BMaia-3 79M
hxg3played#1+0.20P(engine #1) 47.3%pending
95.0%#1
fxg3#2+0.02top-3 line; P(top-3) 74.8%pending
4.9%#2
h3>5—no per-move valuepending
0.1%#3
O-O-O>5—no per-move valuepending
<0.1%#4
h4>5—no per-move valuepending
<0.1%#5
e5>5—no per-move valuepending
<0.1%#6
Qd1#5−9.31no per-move valuepending
<0.1%#12
d5#3−8.94top-3 line; P(top-3) 74.8%pending
0.0%#30
Ne5#4−9.19no per-move valuepending
0.0%#26
Engine = Stockfish 19, depth 12, MultiPV 5 (moves outside its 5 lines have no rank or eval). Eval is from the side to move's point of view.
Why this example was selected
Selection (fixed rule, applied to the whole held-out test split)
Position id
li_ItVPTIJx:20
Rule
played == Stockfish #1 == Maia-3 #1; >= 25 legal moves; |eval| <= 150 cp; Maia-3 probability of the played move in [0.5, 0.95] (not a forced reply); highest such probability
Source
test split, original move
Maia-3 entropy
0.207 nats
Reconstruction difficulty
0.547

How to read these examples

  • The statistical baseline is an independent reconstruction from publicly documented concepts, not Professor Regan's production system or calibration.
  • Controlled engine substitutions are not identical to real-world cheating: substitutes are Stockfish lines inserted into otherwise human decisions and evaluated in the original positions (games are not replayed).
  • Maia-3 models human move preference, not cheating. A low Maia probability means a move is unusual for that rating, nothing more.
  • Qwen3-8B-Base is a general language model, not a chess-specialized detector. It provides a move-preference signal that can be evaluated for predictive value; it does not detect cheating.
  • Tokenization and the way moves are written (UCI strings, ordering, prompt wording) can change LLM likelihoods; the prompt is frozen and hashed but other formulations were not explored.
  • Results depend on the dataset (one month of online Lichess rapid/classical games, presumed human), the engine settings (Stockfish 19, depth 12, MultiPV 5) and the substitution protocol; bootstrap intervals condition on the frozen models and apply no multiplicity correction.
  • Classification performance or correlation is not proof of misconduct and must not be used alone for adjudication.

This is an independent reconstruction based on publicly documented concepts and is not Professor Regan's production analyzer.