The pruned nodes (in red) represent entire regions of space that the algorithm never examines. The points inside those regions are never checked. Compare the "Nodes Visited" count to the total number of points. The quadtree is doing far less work than a brute-force scan.
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"The Court ordered Mr. Burke to travel across the country to appear before a California grand jury without ever allowing him to see the full documents that justified the extraordinary compulsion," Dawud Burke's attorney said in the filing.