This article from Chessbase answers most of your questions.
This was the position in which Kasparov had set a "computer chess" trap.
[fen "r1r1q1k1/6p1/p2b1p1p/1p1PpP2/PPp5/2P4P/R1B2QP1/R5K1 w - - 0 35"]
[White "Deep Blue"]
[Black "Gary Kasparov"]
He was expecting
36. Qb6 Rd8
37. ab Rab8
38. Qxa6 e4
[fen "1r1rq1k1/6p1/Q2b1p1p/1P1P1P2/1Pp1p3/2P4P/R1B3P1/R5K1 w - - 0 35"]
[White "Deep Blue"]
[Black "Gary Kasparov"]
when, for the cost of 2 pawns he has generated dangerous counterplay based on the idea of Qe5 possibly followed by e3.
Instead Deep Blue played the immediate ab followed by Be4 thereby nipping in the bud any chances of counterplay via ... e4 and ... Qe5 for black.
According to the article -
In fact, if you consult any of the top engines of today, whether it be
Houdini 4, Stockfish 6, or Komodo 8, they all choose Deep Blue's move
36.axb5. For example:
Komodo 8: 36.axb5 axb5 37.Be4 Qd8 38.Kh2 Rcb8 39.Ra6 Kf8 40.R6a5 Kg8
41.R1a2 Rxa5 42.Rxa5 Bc7 43.Ra1 Bb6
+/- (0.84) Depth: 29 00:02:15 686MN, tb=57
So, nothing to see here (2 min 15 sec for the computer) ;-) Move on!