Speed of the hardware is significant to discuss. A human, given sufficent notebook paper & time, could think ahead for thousands of years and thousands of turns

Speed of the hardware is significant to discuss. A human, given sufficent notebook paper & time, could think ahead for thousands of years and thousands of turns -- this is effectively what a machine is doing. With much tighter time constraints, I don't believe machines would do as well because they are using full-breadth search (to my knowledge) -- searching every possibliity. Whereas humans use visual pattern recognition, and we can run this programs quite fast.