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I am about 300 points higher and think this is roughly correct. In openings amateurs will actually analyze more since GMs just have hundreds of opening lines memorized many moves deep. Middlegame and endgame there're usually just 1-3 reasonable plans that are obvious to a GM (but not at all obvious to amateurs) with 1-3 initial moves each. So, again, probably about as many as I consider.

The only time when GM will definitely analyze more lines than an amateur is in a highly tactical position but that happens, again, maybe 1-3 times per typical game (tactics themselves will last several moves, but they would be largely calculated through at the beginning of the tactical melee).

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Yes, I am even a little higher rated and have played numerous (low rated GMs) in tournament play. I do think they analyze more than 1-3 times per game.

The main thing commentators here are missing is that GMs have more confidence and do not repeat their analysis, but amateurs (strong club players included) typically re-analyze the same lines over and over. That alone would account for far stronger play with fewer moves considered, if you count the same move multiple times, which you should!

Also, Jonathan Rowson (Scottish GM - peak about 2600) describes his training matches with Mickey Adams (peak #3 or so in world - 2760), and says pretty much the same thing. Most of the time he asked “what about this line I rejected”, the answer was usually “I hadn’t considered that”.

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> The only time when GM will definitely analyze more lines than an amateur is in a highly tactical position

Those critical moments are a big part of the difference between a GM and a good club player though. If a GM was somehow handicapped to not calculate such tactics, I think lesser players would be able to draw games against GMs much more often.

I agree that GMs can avoid calculation in many positions (e.g. openings as you said), but the value of broader and deeper calculation is still huge in chess.

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Human brain can do calculations in the back of their head without realizing it. Verbalizing does not mean it's all they thought about.
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But it does mean they thought about at least as much as they verbalised.
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Slightly difficult to disentangle is that they might be using the verbalisation as a way to explore depth, rubber-duck style, in a way that they wouldn't over the board.
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But you can still verbalize without saying the result of it. But yeah, it's still a question whether they would do so, but I think they do.
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Much of what's happening is less like 'calculations in the back of their head' and more like 'pattern recognition'. Chess masters are recalling ideas and motifs (not necessarily actual positions) from earlier games or practice or study, and this recall is allowing them to either prune the decision tree or prioritize investigating more fruitful branches faster than amateur players, who have to actually calculate things that are instantly 'seen' by the better players.

This is a known thing among chess players, and even low-skilled players do it to some extent. A newbie to chess can (and almost every teacher will say 'should') work their pattern recognition by just solving tactical chess puzzles and very quickly improve at spotting things like one or two move checkmate patterns or forks or pins or whatever.

It's more of a memory thing than subconscious calculation.

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> Much of what's happening is less like 'calculations in the back of their head' and more like 'pattern recognition'.

Sometimes it really looks like "calculations in the back of your head". Have you ever been struck with a 5 moves long tactics in positions you've never seen? Because I have.

There are hardly any other explanations than subconscious calculation.

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> It's more of a memory thing than subconscious calculation.

Would you make the move based on vibes alone in a non-blitz game? The calculation is still required and it is faster for those already familiar.

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Vibes is for the initial pruning, that’s why great chess players will sometimes see a computer move and ‘instantly’ realize why it’s so good but in a real game never consider it.
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Ya that's definitely a simplifying lie.

It's totally true that most people overestimate how much of GM's abilities comes from pure calculation, and underrate intuition. That's what it's getting at.

But in classical games GMs are, in fact, doing tons of calculation, and the statement is literally completely false.

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There's an analog in machine chess. According to the research paper from 2017, AlphaZero considered ~10,000 moves per decision, 1,000x fewer than Stockfish at the time. h2h it beat Stockfish pretty badly.
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But that's not what it's saying right? The quote says grandmasters and amateurs analyze the same number of moves. I mean it would kind of make more sense how you are interpreting it but is that actually what the quote is saying?
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It is same, just even more overpowered. AlphaZero can also do same amount of analyze but before even need to, Stockfish already destroyed. Is like 100m race run between you and Usain Bolt. Because Bolt is so overpowering, You can just shorten it to 30m and he still beats everytime.
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I was responding to the commenter's intuition that GMs do actually analyze more lines. I'm saying the original article's claim checks out even for machines.
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>I'm saying the original article's claim checks out even for machines.

Im not sure where the misunderstanding is.

The article says better players calculate a similar amount of moves and your anecdote shows the better player calculating a lot less.

So yeah it rebuts but the idea that GMs analyze more moves but it doesnt agree with the article, right? I guess just in the sense that its not more.

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Yeah that last bit is what I was going for.
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>the average chess grandmaster during a classical game will analyze roughly the same number of moves as an amateur player, but they analyze only the most critical moves

What does this mean exactly? They analyze the same number but the grandmaster analyzes "only the most critical moves."

So does that mean at every given analysis opportunity (each move I guess), they analyze better candidates?

If so I guess these 2 things are totally redundant? "they analyze only the most critical moves and do a better job with that analysis."

Alternatively I wondered if perhaps they actually perform analysis on less moves (perhaps because they already know the lines or remember their previous analysis). But I think that contradicts the claim that they analyze about the same number of moves.

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Meaning, you analyse 100 moves will not be the same set of GM 100 moves. And GM work on better 100 moves than yours. If you pick the moves that GM not thinking of, you likely get crushed because those moves are very inferior moves that GM already can see the outcome without the need to consider. Meanwhile if GM takes on moves you dont consider, you get crushed too. The likely silver lining will be you picking the same moves as GM. But up to a point, his depths will crushed you either you pick a wrong moves by mistake, or he out think you a few step more. Is like a math student who do same amount of steps as yours, but you look at his answer in awe because better and succint...and even confused as how it reach that. TBF, today AlphaGo engine will crush Stockfish and any GM too.
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> Meaning, you analyse 100 moves will not be the same set of GM 100 moves. And GM work on better 100 moves than yours. If you pick the moves that GM not thinking of, you likely get crushed because those moves are very inferior moves that GM already can see the outcome without the need to consider.

This is intuitive and I guess I'm not surprised this is what was meant. They analyze the same amount of moves they are simply better at it (picking candidates, calculating, etc.)

I guess maybe im being a bit nitpicky but I feel like this is still a misleading way to say that.

> the average chess grandmaster during a classical game will analyze roughly the same number of moves as an amateur player, but they analyze only the most critical moves and do a better job with that analysis.

You could just omit "only the most critical moves" instead of listing it as an additional thing.

> the average chess grandmaster during a classical game will analyze roughly the same number of moves as an amateur player, but they do a better job with that analysis.

"only the most critical moves" sounds like less, especially when listed in addition to analyzing better.

I digress.

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They have tree pruning heuristics. Probably all human masters of any craft have them. They're precise to some given extent, after which tacit/embodied knowledge, aesthetics and vibes take over.
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My rating is negative 1900. I was always bad at chess and never really gave it a chance tbh. I always wondered though where does the pattern matching stop and strategy starts or it's one and the same?
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I strongly believe some people are inherently good at chess but no one is inherently bad. If you're interested enough to comment this, play one 5-minute game a day on lichess. Start with the lowest setting but do it every day, maybe in the morning with coffee. You might not win a single game the first year but slowly you'll improve. When you're winning more, move up a level. Sometimes do the puzzles. Give it five years and you'll be able to beat almost anyone you meet and, better yet, you'll know the answer to your question based on your own experience.
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You know what? I'll take you up on the offer. I have a complimentary chess dot com account with my revolut ultra, might as well use it. Every day a toilet break chess and see you in five years!
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> where does the pattern matching stop and strategy starts or it's one and the same?

It's not one and the same, but strategy patterns are definitely a thing too.

There are:

- tactical patterns (e.g. "back rank checkmate", or "pair of pieces that can be forked by a pawn");

- strategy patterns (e.g. "knights are good in closed positions", or "in a same-colour bishop endgame, put your pawns on the colour opposite to the bishops").

There's also calculation ability which also partly relies on patterns one has seen before.

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I became significantly better at chess through two simple things:

1. Take a little extra time to visualize what will happen after you make a move. Will the piece be vulnerable? Does moving that piece leave a different piece vulnerable? I'd argue the biggest beginner mistake is not seeing that their move leaves a different piece vulnerable to being captured.

2. Don't move your queen into the board until after you move both bishops. This simple rule of thumb makes it far less likely you will lose your queen early, and it forces you to do a lot of other useful things (develop your pieces, control a portion of the board, etc).

Disclaimer: I am not good at chess, but when I played semi-regularly these helped me hold my own against other beginners.

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Hikaru does this as a streaming hook.
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It makes sense. The space of moves is a tree. If you're doing a breadth-first search and a grandmaster is doing a more depth-oriented search with heuristics for pruning low value branches, then the same total number of moves could be considered, but the grandmaster is reaching the better moves before you.
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No, a grandmaster can also consider moves way faster than an amateur. Watch Hikaru Nakamura solve chess puzzles [1]. He has already solved the puzzle and moved on to the next one before an amateur can even see the pieces on the board.

[1] https://youtu.be/4EfSymvT59M

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1940s to 1980s papers (the source of the claims) might think "amateur" means something different from people today. (they probably mean club chess players)
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Yes? Amateur means someone who does a thing for recreation, as opposed to for money.
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It seemed to me that in the chess community, average club players are usually considered (much) stronger than the average online player. (Especially because of the much larger number of lower skill players online.)

So if you measure amateurs via club players (=what people might have considered chess amateurs before), that might give you a different result from the average online player (=what people might consider average amateurs today).

It is much easier to imagine the 1600 FIDE OTB player doing 20-40 positional evaluations than the 1200 random chess.com scrub (eg me) doing the same.

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This is mind blowing. He solves these puzzles before I can find the king. How humbling. There probably aren't many instances like this where the gap between world-class and average person becomes as clear as in this video.
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It's not a tree since you have transpositions. It's a directed graph, since it has cycles.
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It does not have infinite cycles because of the 50 move rules and repeated position rules, so the same position is not necessarily the same state/position. Or depending on how you model the data structure, cycles at all.
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Right, but the GMs you see online are often "super GMs". They are on a category of their own in the ultra tail.
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No, I watch plenty of "regular" GMs, as well as some IMs and even FMs who all consider way more moves/positions than I do.
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I’m around 1800-1900 and they don’t consider more moves or positions than I do at all. It’s just that their analysis is correct and mine is not even close.

I actually don’t know this for sure, I should say that they don’t verbalise more moves than I think about. It’s plausible and perhaps even likely that they have a lot of moves or positions they do touch on but immediately discard so don’t even verbalise.

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an amateur player --> shouldn't an amateur player have an average ELO, i.e. be nearly as bad as me, who never wins at chess when someone even knows their ELO or is a bot above lowest difficulty level.
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Yeah I would like to see where that factoid comes from. Maybe it means they explore as many branches from the root position as an amateur, but they explore each branch way deeper and more accurately
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After some digging it goes back to Adriaan de Groot (in 1946).

[1] (2011) has a summary in the introduction:

   de Groot presented chess players of varying skill, including some of the best players of the time, with an unfamiliar position and asked them to think aloud as they analyzed the position and chose what move they would make. de Groot found that, contrary to popular belief, the strongest players did not think further ahead than weaker players. World-class Grandmasters (GMs) searched at a similar depth and considered a similar number of options as mere chess experts. 
As [1] is also a somewhat reproduction of the original study, you can take it directly.

    Six Grandmasters, five International Masters, six Experts, and five Class A players completed the think-aloud procedure for two chess positions. Findings indicate that Grandmasters and International Masters search more quickly than Experts and Class A players, and that both groups today search substantially faster than players in previous studies. The findings, however, support de Groot’s overall conclusions and are consistent with predictions made by pattern recognition models.
Section 3 Table 2 is probably most interesting, they had 2 board positions and 2 groups sectioned:

Masters (2350+) | Intermediates (1800-2200)

(Mean values only, i tried inlcuding stddev but it was hard to read)

Positions Evaluated (A): 145.3 | 138.6

Positions Evaluated (B): 216.6 | 190.6

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Max Depth (A): 11.7 | 9.4

Max Depth (B): 14.1 | 12.0

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Mean Depth (A): 4.1 | 3.3

Mean Depth (B): 4.9 | 4.2

What i found interesting was that the "intermediate" group had a higher number of "base moves" they evaluated (eg Pos A: 5.6 | 8.6).

The previous studies (de Groot and another rperoduction from 1998) had "Nodes visited" for position A at 51.6 | 34.3 and 48.3 | 40.1 so similarly close together as the new ones, but much lower. (depending on your definition on "similarly close together")

[1] https://onlinelibrary.wiley.com/doi/10.1111/j.1551-6709.2011...

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GMs also have access to a greater number of memorized situations. Regardless of whether they are conscious of it or not, they have previously analyzed so many moves that they can cut off branches they just know instinctively to be dead ends. Machines could do this, directly reference a massive dataset of precomputed board positions, but that isn't considered a proper chess engine... despite the fact that human GMs do use such techniques.
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