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Subject: QNodes, Lead Nodes and Best Practice?

Author: Steve Maughan

Date: 06:08:14 06/14/04


I've been tinkering with Monarch's qsearch and wondered if I could get some
input from other engine authors as to best practice for the quiescent search.

Take for example this random (TWIC500) middlegame position:

[D]2r2rk1/1p1b1p2/1p4pp/3pPnQ1/3P4/5P1P/PPB2BP1/R3R1K1 b - -

There's nothing special going on and here's Monarch's analysis:

Engine: Monarch 1.1 (64 MB)
by Steve Maughan
  3/04	 0:00 	-3.78++	24...hxg5 (729)
  3/04	 0:00 	-1.52 	24...hxg5 25.Bd3 Ne7 (861)
  4/07	 0:00 	-1.48 	24...hxg5 25.Bd3 Rfd8 26.g4 (2.388)
  5/09	 0:00 	-1.51 	24...hxg5 25.Bd3 Ne7 26.Be3 Nc6 (8.013)
  6/11	 0:00 	-1.57 	24...hxg5 25.Bd3 Ne7 26.g4 Nc6 27.Rad1 (18.410)
  7/13	 0:00 	-1.51 	24...hxg5 25.Bd3 Ne7 26.a3 Rfe8 27.Be3 Nc6 (64.452)
  8/15	 0:00 	-1.49 	24...hxg5 25.Bd3 Ng7 26.h4 gxh4 27.Bxh4 Ne6 28.Be7
(218.401)
  9/19	 0:00 	-1.49 	24...hxg5 25.Bb3 Be6 26.g4 Nh4 27.Bd1 f6 28.f4 fxe5
(629.445) 750
 10/20	 0:01 	-1.48 	24...hxg5 25.Bb3 Be6 26.g4 Nh4 27.Re3 f6 28.exf6 Rxf6 29.f4
(1.060.099) 858
 11/23	 0:07 	-1.47 	24...hxg5 25.Bd3 Ng7 26.Be3 Ne6 27.g3 f5 28.f4 gxf4 29.gxf4
Rfe8 (7.291.429) 895
 12/24	 0:12 	-1.48 	24...hxg5 25.Bb3 Bc6 26.Rad1 f6 27.Rd3 Rc7 28.g4 Ne7 29.e6
f5 30.Bc2 (12.437.456) 945
 13/28	 0:19 	-1.47 	24...hxg5 25.Bb3 Bc6 26.Rad1 f6 27.Rd3 Rc7 28.a4 Rg7 29.g4
Ne7 30.e6 f5 (18.894.237) 957
 14/29	 0:58 	-1.47 	24...hxg5 25.Bb3 Bc6 26.Rad1 f6 27.Rd3 Ng7 28.exf6 Rxf6
29.Re5 Rf5 30.Re7 Re8 31.Rde3 (57.553.890) 964
 15/16	 1:22 	-1.47 	24...hxg5 25.Bb3 Bc6 26.Rad1 f6 27.Rd3 Ng7 28.exf6 Rxf6
29.Re5 Rf5 30.Re7 Re8 31.Rde3 (79.374.564) 978
best move: h6xg5 time: 1:22.929 min  n/s: 957.369  nodes: 79.374.564
Total Nodes             :   79374564
Quiescent Nodes         :   26210648 (33.0%)
Leaf Nodes              :   38072779 (48.0%)
Hash Probe Effectiveness:      28.2%
Move Order Effectiveness:      93.1%

I define leaf nodes as positions that return a score without calling any move
generation routine; quiescent nodes are those that call a move generation from
within the qsearch and the others are those that call a move generation routine
from within the main search (alpha_beta) includung null moves.

So you can see that of the 79 million nodes searched 26 million (33%) were in
the qsearch.  This seams a bit high to me considering that 38 million (48%) were
leaf nodes.  Currently I'm doing check in the first ply of the qsearch and SEE
based pruning.  The pseudo code looks like the following:

if in_check
  generate all moves and handle as a normal node
else
  e = evaluate();
  if (e>=a){
    if (e>=b){
      leaf_nodes++;
      return e;
    }
    a = e;
  }

  if (max_check_ply >= current_ply){
    move_count = generate_check_captures(); //GENERATE ALL GOOD CAPTURES &
CHECKS (ONLY DONE ON THE FIRST PLY OF THE QSEARCH)
  }
  else if (e+90>a){
    move_count = generate_all_good_captures(); // GENERATE ALL GOOD CAPTURES
  }
  else
    //GENERATE ONLY THE GOOD CAPTURES THAT WILL GET THE SCORE CLOSE TO ALPHA
    move_count = generate_captures_with_threshold(p,a-e-90);

  Loop though all the moves as normal...

Of course the '90' in the above pseudo code is somewhat arbitrary.

So two questions:
1.  Are Monarch's ratios of qnodes and lead nodes to total nodes reasonable?
2.  What else can I do improve my QSearch?

Thanks,

Steve



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