Scandinavian by rating

1.e4 d5 2.exd5 Qxd5 3.Nc3

The Scandinavian is popular below 1500 precisely because it looks like it skips theory, and this is the position that shows the bill. After 3.Nc3 the queen has to go somewhere; the engine says a5, and at 1000 the likeliest human move is the check on e6, which the engine scores about half a pawn worse.

How often each rating finds the engine move

18 percent at 1000 against 53 percent at 2200, one of the sharpest learning curves in the dataset.

02550751001000120014001600180020002200
After 1.e4 d5 2.exd5 Qxd5 3.Nc3Two plies later, after Qd8 Nf3
Findability is the probability Maia3 assigns to Stockfish's top move at each rating. Across the two positions the curve moves up 35 points from 1000 to 2200.

The position after 1.e4 d5 2.exd5 Qxd5 3.Nc3

This is where the opening actually starts asking a question. 47 moves are legal; Stockfish scores every one of them at depth 20.

Black to play, 47 legal moves

Stockfish plays Qa5 at -0.63. Its next two choices are Qd6 (-0.75) and Qd8 (-0.78).

RatingMost likely human moveFinds Qa5Cost in pawns
1000Qe6+-1.0918%0.46
1200Qd8-0.7824%0.15
1400Qd8-0.7829%0.15
1600Qd8-0.7833%0.15
1800Qa5-0.6339%same move
2000Qa5-0.6348%same move
2200Qa5-0.6353%same move

Two plies deeper

Following the most popular human continuation at 1400: Qd8 (35%), then Nf3 (45%).

Black to play, 31 legal moves

Stockfish plays Nf6 at -0.72. Its next two choices are e6 (-0.73) and Bf5 (-0.76).

RatingMost likely human moveFinds Nf6Cost in pawns
1000Nf6-0.7225%same move
1200Nf6-0.7227%same move
1400Nf6-0.7229%same move
1600Nf6-0.7234%same move
1800Nf6-0.7240%same move
2000Nf6-0.7248%same move
2200Nf6-0.7259%same move

See this for your own games

Chessdrive runs the same two engines on your phone. It shows the move you should have found at your rating, not just the move a 3500-rated engine would have played.

How these numbers were produced

Stockfish 18 by the Stockfish developers (see AUTHORS file) at depth 20, with MultiPV set to the exact legal move count of each position so no move is left unscored, and Maia3, chessformer, human move prediction, 5m (bundled with maia3-js, UofTCSSLab/Maia3-5M, about 5M parameters) for the human move distribution. Run on 2026-08-29 over 28 positions across 7 rating bands. Findability is Maia3's probability for Stockfish's top move; it is not a claim about win rate.