If we assume an average of 25 branches per position across the first 100 half-moves, the number of lines searched would be 25^100, which is around 1000000000000000000000000000000000000000000000000000000000000 times more than the number of protons in the observable universe. Though there are a lot of other factors that pare that number down significantly, I'm still going to hazard a guess at "not far".
How long would it take for Stockfish.js 8 to get to 1000 ply from the opening?
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If I ran stockfish on a supercomputer from the starting setup for a year, how far do you think it would get?