@6988
"Without a definition, in fact, even with a definition, even only one assistant will give different answers at different times. Humans just aren't as consistent as you believe."
++ An ICCF (grand)master will not resign in a drawn position or agree on a draw in a won position. The human intervention is the equivalent of either resigning or agreeing on a draw. After 1 e4 e5 2 Ba6? white resigns. The question is not about evaluating a position, that cannot be done neither by a human, not by an engine, only by calculating towards the 7-men endgame table base. The question is about dismissing certain legal possibilities like 1 e4 e5 2 Ba6? or about terminating calculation like in a drawn opposite color bishop endgame.
"It could very well be that starting pos is a draw, and after Ba6 it is still draw."
++ No. The initial position is a draw. The position after 1 e4 e5 2 Ba6? is a loss for white.
I have even given a proof game above.
"So most of the time the assessment of the assistant is unnecessary"
++ The assistants do not assess positions. They launch the calculation from meaningful starting points (not from 1 e4 e5 2 Ba6?) and they occasionally terminate a calculation when they know for sure a draw is inevitable, like in opposite colored bishop endgames.
"all of the time it is an incredible slowdown" ++ No, the humans speed up the process by not launching pointless calculations like from 1 e4 e5 2 Ba6? and by occasionally terminating pointless calculations like in drawn opposite colored bishop endgames.
"Deep Blue was capable of evaluating 200 million positions per second"
++ Modern cloud engines reach 1 billion nodes per second.
"You want to put a human in there to evaluate every position where there is a clear material difference." ++ No. The human launches the calculation from a meaningful starting point, preferably with 26 men and either equal material, or unequal material with identifyable compensation. Then the engine calculates until the 7-men endgame table base essentially without any human intervention. In rare cases the human intervenes to terminate a calculation when the outcome of a draw is inevitable like in opposite colored bishop endgames. It is the humans from 32 to 26 men, the engine from 26 to 7 men, and the table base at 7 men.
"Lets say something like e4 a6 Bxa6 Nxa6"
++ That is a clear loss for white. No need to launch any calculation from there.
1 e4 a6 might be enough to draw or not, but it would not be the first choice of the assistants, that would be 1 e4 e5. So 1 e4 a6 would not be calculated at all.
"I hope you are aware that computers typically do selective search already, so they do spend less time on weak moves?" ++ Once a calculation is launched, the humans do not intervene, except in rare cases like after reaching a drawn opposite colored bishop endgame.
"Or the Alpha Zero algorithm, which will use neural nets to do super fast and often superior guesses of the value of a position without the need for a human?"
++ The point is that in solving Chess, for most positions we cannot depend on any evaluation, either human, or AlphaZero algorithm, as all such evaluations are known to be wrong once in a while. The only way is to calculate with enough depth to reach the 7-men endgame table base.
That is also what GM Sveshnikov said: "I will bring all openings to technical endgames".
So start from a meaningful opening (not 1 e4 e5 2 Ba6?) and then calculate until the 7-men endgame table base.
@7018
"then Stockfish algorithm with search depth tweaked to something like 10000 ply"
++ There is no need or even use for such a depth. Depth 200 ply is more than enough.
"play perfect games, and also in analysis mode trivially tell you which moves, in any position are winning/drawing/losing." ++ In any position would be strongly solving and that is not feasible as 10^44 legal positions are too much. However, all paths from the initial position to a 7-men endgame table base draw is doable in 5 years and weakly solves chess.
Here is an example:
https://www.iccf.com/game?id=1164344
A perfect game in 57 moves from the initial position to a 7-men table base draw with optimal play from both sides.