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The amount of data that would be required for a lookup table for all best moves for every board configuration would be infeasible.

They have managed to create one for 7 pieces. Last update on trying to get to 8 piece database: https://www.chess.com/blog/Rocky64/eight-piece-tablebases-a-...

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Yup, and it looks like a complete tablebase from the start of the game won't ever be feasible.

> From May to August 2018 Bojun Guo generated 7-piece tables. The 7-piece tablebase contains 423,836,835,667,331 unique legal positions in about 18 Terabytes.

Almost halfway there ;)

There are 32 pieces on the board at the start of the game.

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