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Old version of algorithm has unexpected behaviour #229

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adisidev opened this issue Jan 16, 2025 · 1 comment
Open

Old version of algorithm has unexpected behaviour #229

adisidev opened this issue Jan 16, 2025 · 1 comment

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@adisidev
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If we disable different flags that we have progressively introduced, we find behaviour that was not there in the past.

For instance, if disable all simplification and densification, the command:

cartogram sample_data/contiguous_usa_by_county_since_2001/contiguous_usa_by_county_since_2001.geojson sample_data/contiguous_usa_by_county_since_2001/usa_population_by_county_2021.csv 

gets stuck (without ending gracefully) at the start of integration 27. It also indicates a negative area:

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■---] 95% [05m:45s]
Max. area err: 1.9052, GeoDiv: 0500000US48389
Current Area: -56.0202, Target Area: 61.9255
Area drift: -0.0614398%

Integration number 27
Number of Points: 65166
blur_width = 2.82843
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00237174
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 360316
Number of Delaunay triangles: 720593
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.075

Full error commented below.

Further, if we disable only the densification and simplification inside the while loop, but retain initial simplification, we end up with segmentation faults near iteration 300 of an integration. Here are the maps that fail in that manner:

cartogram ../../sample_data/contiguous_usa_by_county_since_2001/contiguous_usa_by_county_since_2001.geojson ../../sample_data/contiguous_usa_by_county_since_2001/usa_population_by_county_2021.csv 
cartogram ../../sample_data/eurostat_member_countries_by_country_until_2020/NUTS_by_country_until_2020.geojson ../../sample_data/eurostat_member_countries_by_country_until_2020/NUTS_population_by_country_2021.csv 
cartogram ../../sample_data/eurostat_member_countries_by_region_until_2020/NUTS_by_region_until_2020.geojson ../../sample_data/eurostat_member_countries_by_region_until_2020/NUTS_population_by_region_2020.csv 
cartogram ../../sample_data/singapore_by_planning_area_since_1999/singapore_by_planning_area_since_1999.geojson ../../sample_data/singapore_by_planning_area_since_1999/singapore_population_by_planning_area_2015.csv 
cartogram ../../sample_data/us_counties/us_counties.geojson ../../sample_data/us_counties/us_counties_population.csv 
cartogram ../../sample_data/world/geo_ne50_antimeridian_minus169_brewer.geojson ../../sample_data/world/csv_ne50_antimeridian_minus169_brewer_pop.csv 
cartogram ../../sample_data/world/geo_ne50_antimeridian_minus169_brewer.geojson ../../sample_data/world/csv_wo_antarctica_ne50_antimeridian_minus169_brewer_pop.csv 
cartogram ../../sample_data/world_by_country_since_2022/world_by_country_since_2022.geojson ../../sample_data/world_by_country_since_2022/world_population_by_country_2010.csv 
cartogram ../../sample_data/world_wo_antarctica/geo_wo_antarctica_ne50_antimeridian_minus169_brewer.geojson ../../sample_data/world_wo_antarctica/csv_wo_antarctica_ne50_antimeridian_minus169_brewer_pop.csv 

Here is a sample output (NUTS by region):

Max. area err: 3.73408, GeoDiv: Valle d’Aosta/Vallée d’Aoste
Current Area: 0.919241, Target Area: 0.200107
Area drift: -2.96428%

Integration number 18
Number of Points: 9990
blur_width = 0.00390625
Using Quadtree depth: 6
Split criteria: rho_max - rho_min > 0.00408642
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 504
Number of Delaunay triangles: 974
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.15
iter = 10, t = 0.300337, delta_t = 4.12453e-06
iter = 20, t = 0.300344, delta_t = 1.13411e-10
iter = 30, t = 0.300344, delta_t = 1.63497e-09
iter = 40, t = 0.300344, delta_t = 9.42805e-08
iter = 50, t = 0.300355, delta_t = 5.43669e-06
iter = 60, t = 0.300971, delta_t = 0.000313507
iter = 70, t = 0.336501, delta_t = 0.0180784
iter = 80, t = 0.3939, delta_t = 3.18143e-05
iter = 90, t = 0.393957, delta_t = 5.59867e-08
iter = 100, t = 0.393957, delta_t = 2.46313e-11
iter = 110, t = 0.393957, delta_t = 5.41826e-15
iter = 120, t = 0.393957, delta_t = 6.91692e-323
iter = 130, t = 0.393957, delta_t = 4.0464e-321
iter = 140, t = 0.393957, delta_t = 2.33209e-319
iter = 150, t = 0.393957, delta_t = 1.34479e-317
iter = 160, t = 0.393957, delta_t = 7.75475e-316
iter = 170, t = 0.393957, delta_t = 4.47178e-314
iter = 180, t = 0.393957, delta_t = 2.57865e-312
iter = 190, t = 0.393957, delta_t = 1.48698e-310
iter = 200, t = 0.393957, delta_t = 8.57469e-309
iter = 210, t = 0.393957, delta_t = 4.9446e-307
iter = 220, t = 0.393957, delta_t = 2.8513e-305
iter = 230, t = 0.393957, delta_t = 1.64421e-303
iter = 240, t = 0.393957, delta_t = 9.48132e-302
iter = 250, t = 0.393957, delta_t = 5.46741e-300
iter = 260, t = 0.393957, delta_t = 3.15278e-298
iter = 270, t = 0.393957, delta_t = 1.81805e-296
iter = 280, t = 0.393957, delta_t = 1.04838e-294
iter = 290, t = 0.393957, delta_t = 6.04549e-293
iter = 300, t = 0.393957, delta_t = 3.48614e-291
@adisidev
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Full output of

cartogram ../../sample_data/contiguous_usa_by_county_since_2001/contiguous_usa_by_county_since_2001.geojson ../../sample_data/contiguous_usa_by_county_since_2001/usa_population_by_county_2021.csv 

with densification and simplification turned off only during the while loop, and initial simplification retained.

Using geometry from file ../../sample_data/contiguous_usa_by_county_since_2001/contiguous_usa_by_county_since_2001.geojson
Using visual variables from file ../../sample_data/contiguous_usa_by_county_since_2001/usa_population_by_county_2021.csv
Coordinate reference system: +proj=longlat
Mean density: 1.71422e+09
Using Small target area threshold: 32926.1
Replacing small target areas...
0500000US19159: 4663 to 32926.1 Area: 3.43292e-05
0500000US30009: 10473 to 32926.1 Area: 0.000131419
0500000US16007: 6372 to 32926.1 Area: 6.70607e-05
0500000US55011: 13317 to 32926.1 Area: 4.5255e-05
0500000US31185: 14125 to 32926.1 Area: 3.67115e-05
0500000US20109: 2762 to 32926.1 Area: 6.84418e-05
0500000US46093: 29852 to 32926.1 Area: 0.00022154
0500000US19021: 20823 to 32926.1 Area: 3.6981e-05
0500000US05019: 21446 to 32926.1 Area: 5.66319e-05
0500000US51105: 22173 to 32926.1 Area: 2.8031e-05
0500000US56033: 30921 to 32926.1 Area: 0.00016093
0500000US19015: 26715 to 32926.1 Area: 3.65483e-05
0500000US45027: 31144 to 32926.1 Area: 4.44155e-05
0500000US49025: 7667 to 32926.1 Area: 0.0002628
0500000US48057: 20106 to 32926.1 Area: 4.76948e-05
0500000US49017: 5083 to 32926.1 Area: 0.000332061
0500000US48341: 21358 to 32926.1 Area: 5.80102e-05
0500000US27167: 6506 to 32926.1 Area: 4.7813e-05
0500000US48185: 29268 to 32926.1 Area: 5.12125e-05
0500000US05073: 6308 to 32926.1 Area: 3.50274e-05
0500000US53043: 10876 to 32926.1 Area: 0.000148739
0500000US37043: 11089 to 24332.1 Area: 1.41942e-05
0500000US46127: 16811 to 32926.1 Area: 2.98605e-05
0500000US48035: 18235 to 32926.1 Area: 6.39296e-05
0500000US17017: 13042 to 32926.1 Area: 2.44373e-05
0500000US13049: 12518 to 32926.1 Area: 4.99844e-05
0500000US29033: 8495 to 32926.1 Area: 4.46923e-05
0500000US26119: 9153 to 32926.1 Area: 3.582e-05
0500000US13283: 6406 to 22081.2 Area: 1.28812e-05
0500000US54043: 20463 to 32926.1 Area: 2.76972e-05
0500000US05021: 14552 to 32926.1 Area: 4.07993e-05
0500000US30059: 1927 to 32926.1 Area: 0.000152786
0500000US22053: 32250 to 32926.1 Area: 4.19483e-05
0500000US48407: 27402 to 32926.1 Area: 3.96242e-05
0500000US13309: 7471 to 32926.1 Area: 1.93651e-05
0500000US13279: 27030 to 32926.1 Area: 2.35107e-05
0500000US29143: 16434 to 32926.1 Area: 4.43359e-05
0500000US17129: 12297 to 32926.1 Area: 2.02263e-05
0500000US12125: 16147 to 27082.2 Area: 1.57985e-05
0500000US28079: 21275 to 32926.1 Area: 3.734e-05
0500000US31091: 711 to 32926.1 Area: 4.59498e-05
0500000US29087: 4223 to 32926.1 Area: 3.03093e-05
0500000US06063: 19790 to 32926.1 Area: 0.000166443
0500000US42131: 26069 to 32926.1 Area: 2.57497e-05
0500000US51163: 22650 to 32926.1 Area: 3.84303e-05
0500000US51099: 26723 to 26723 Area: 1.21651e-05
0500000US38037: 2301 to 32926.1 Area: 0.000105863
0500000US18179: 28180 to 32926.1 Area: 2.36067e-05
0500000US22081: 7620 to 32926.1 Area: 2.55589e-05
0500000US22107: 4147 to 32926.1 Area: 4.07601e-05
0500000US47173: 19802 to 26595.8 Area: 1.55147e-05
0500000US17109: 27238 to 32926.1 Area: 3.75803e-05
0500000US27083: 25269 to 32926.1 Area: 4.6008e-05
0500000US46071: 2806 to 32926.1 Area: 0.000119072
0500000US41021: 1995 to 32926.1 Area: 7.78593e-05
0500000US05041: 11395 to 32926.1 Area: 5.2403e-05
0500000US21119: 14251 to 32926.1 Area: 2.25167e-05
0500000US13183: 16168 to 32926.1 Area: 2.5775e-05
0500000US05061: 12785 to 32926.1 Area: 3.80436e-05
0500000US21025: 13718 to 32926.1 Area: 3.11425e-05
0500000US20075: 2518 to 32926.1 Area: 6.36213e-05
0500000US27015: 25912 to 32926.1 Area: 3.95114e-05
0500000US21017: 20252 to 32172.8 Area: 1.87681e-05
0500000US56029: 29624 to 32926.1 Area: 0.000443536
0500000US21183: 23772 to 32926.1 Area: 3.78547e-05
0500000US19175: 12138 to 32926.1 Area: 2.71292e-05
0500000US20149: 25348 to 32926.1 Area: 5.47472e-05
0500000US19023: 14334 to 32926.1 Area: 3.70466e-05
0500000US21007: 7728 to 29982.2 Area: 1.74903e-05
0500000US22031: 26812 to 32926.1 Area: 5.72972e-05
0500000US01023: 12665 to 32926.1 Area: 5.87441e-05
0500000US51029: 16824 to 32926.1 Area: 3.69498e-05
0500000US20031: 8360 to 32926.1 Area: 4.16156e-05
0500000US54085: 8444 to 32926.1 Area: 2.88945e-05
0500000US31007: 674 to 32926.1 Area: 4.74528e-05
0500000US48443: 760 to 32926.1 Area: 0.000150436
0500000US48421: 2782 to 32926.1 Area: 5.88701e-05
0500000US48101: 1380 to 32926.1 Area: 5.75932e-05
0500000US16031: 24655 to 32926.1 Area: 0.000164335
0500000US16025: 1077 to 32926.1 Area: 6.88668e-05
0500000US19143: 6192 to 32926.1 Area: 2.5466e-05
0500000US54021: 7408 to 32926.1 Area: 2.16725e-05
0500000US40089: 30814 to 32926.1 Area: 0.000121531
0500000US28001: 29538 to 32926.1 Area: 3.11068e-05
0500000US28145: 27777 to 32926.1 Area: 2.65428e-05
0500000US26053: 14380 to 32926.1 Area: 7.2911e-05
0500000US51009: 31307 to 32926.1 Area: 3.04196e-05
0500000US21013: 24097 to 32926.1 Area: 2.31731e-05
0500000US06015: 27743 to 32926.1 Area: 6.49312e-05
0500000US13163: 15709 to 32926.1 Area: 3.40551e-05
0500000US54017: 7808 to 32926.1 Area: 2.03425e-05
0500000US16077: 7878 to 32926.1 Area: 9.18945e-05
0500000US28051: 17000 to 32926.1 Area: 4.88496e-05
0500000US21239: 26871 to 26871 Area: 1.22987e-05
0500000US37007: 22055 to 32926.1 Area: 3.39942e-05
0500000US47143: 32870 to 32926.1 Area: 2.1668e-05
0500000US21203: 16037 to 32926.1 Area: 2.03719e-05
0500000US13261: 29616 to 32926.1 Area: 3.12744e-05
0500000US54071: 6143 to 32926.1 Area: 4.4501e-05
0500000US16023: 2574 to 32926.1 Area: 0.000142538
0500000US54047: 19111 to 32926.1 Area: 3.4331e-05
0500000US20067: 7352 to 32926.1 Area: 3.67308e-05
0500000US51131: 12282 to 32926.1 Area: 2.19581e-05
0500000US48387: 11587 to 32926.1 Area: 6.73556e-05
0500000US48377: 6131 to 32926.1 Area: 0.000246223
0500000US31009: 431 to 32926.1 Area: 4.55398e-05
0500000US01041: 13194 to 32926.1 Area: 3.91991e-05
0500000US46055: 1872 to 32926.1 Area: 0.000116003
0500000US46123: 5624 to 32926.1 Area: 0.000103356
0500000US37131: 17471 to 32926.1 Area: 3.51159e-05
0500000US51017: 4209 to 32926.1 Area: 3.41831e-05
0500000US30069: 496 to 32926.1 Area: 0.000106524
0500000US21063: 7354 to 25447 Area: 1.48446e-05
0500000US51081: 11391 to 32553.9 Area: 1.89905e-05
0500000US08023: 3499 to 32926.1 Area: 7.86e-05
0500000US31005: 434 to 32926.1 Area: 4.57834e-05
0500000US22043: 22169 to 32926.1 Area: 4.24649e-05
0500000US30099: 6226 to 32926.1 Area: 0.000146252
0500000US21229: 12027 to 32926.1 Area: 1.9313e-05
0500000US31103: 769 to 32926.1 Area: 4.94441e-05
0500000US28131: 18333 to 32926.1 Area: 2.85939e-05
0500000US48501: 7694 to 32926.1 Area: 5.10001e-05
0500000US20069: 5653 to 32926.1 Area: 5.53966e-05
0500000US13019: 18160 to 32926.1 Area: 2.91178e-05
0500000US37053: 28100 to 31895.4 Area: 1.86063e-05
0500000US13319: 8877 to 32926.1 Area: 2.90817e-05
0500000US16013: 24272 to 32926.1 Area: 0.000169047
0500000US47097: 25143 to 32926.1 Area: 3.22422e-05
0500000US06043: 17131 to 32926.1 Area: 9.2939e-05
0500000US49023: 11786 to 32926.1 Area: 0.00021679
0500000US08091: 4874 to 32926.1 Area: 3.47863e-05
0500000US38053: 14704 to 32926.1 Area: 0.000182062
0500000US13263: 5733 to 32926.1 Area: 2.48325e-05
0500000US48193: 8222 to 32926.1 Area: 5.34139e-05
0500000US48389: 14748 to 32926.1 Area: 0.000168877
0500000US13315: 8766 to 32926.1 Area: 2.42708e-05
0500000US13229: 19716 to 32926.1 Area: 2.15803e-05
0500000US47049: 18489 to 32926.1 Area: 3.19097e-05
0500000US12047: 14004 to 32926.1 Area: 3.30544e-05
0500000US13265: 1559 to 21364.1 Area: 1.24628e-05
0500000US13311: 28003 to 28003 Area: 1.55197e-05
0500000US26141: 12982 to 32926.1 Area: 4.35358e-05
0500000US01107: 19123 to 32926.1 Area: 5.68191e-05
0500000US22075: 23515 to 32926.1 Area: 7.52486e-05
0500000US48267: 4286 to 32926.1 Area: 7.99064e-05
0500000US37103: 9172 to 32926.1 Area: 3.01105e-05
0500000US48015: 30167 to 32926.1 Area: 4.21504e-05
0500000US22123: 9751 to 32926.1 Area: 2.31162e-05
0500000US13249: 4547 to 18215.3 Area: 1.0626e-05
0500000US30085: 10794 to 32926.1 Area: 0.000150991
0500000US13075: 17229 to 25211.8 Area: 1.47074e-05
0500000US21011: 12750 to 31252.3 Area: 1.82312e-05
0500000US48207: 5416 to 32926.1 Area: 5.81423e-05
0500000US48383: 3385 to 32926.1 Area: 7.51102e-05
0500000US08111: 705 to 32926.1 Area: 2.48183e-05
0500000US48301: 64 to 32926.1 Area: 4.31056e-05
0500000US30089: 12400 to 32926.1 Area: 0.000177839
0500000US54057: 26938 to 32926.1 Area: 2.05753e-05
0500000US47127: 6461 to 14045.5 Area: 8.19353e-06
0500000US47079: 32199 to 32926.1 Area: 3.78623e-05
0500000US47121: 12758 to 23808 Area: 1.38885e-05
0500000US13209: 8610 to 26671.6 Area: 1.5559e-05
0500000US48043: 9546 to 32926.1 Area: 0.000395421
0500000US20071: 1284 to 32926.1 Area: 4.96467e-05
0500000US38095: 2162 to 32926.1 Area: 6.63029e-05
0500000US54059: 23568 to 32926.1 Area: 2.71886e-05
0500000US46041: 5239 to 32926.1 Area: 0.000155593
0500000US48125: 1770 to 32926.1 Area: 5.78692e-05
0500000US05001: 17149 to 32926.1 Area: 6.58183e-05
0500000US19177: 7203 to 32926.1 Area: 3.13258e-05
0500000US27023: 12598 to 32926.1 Area: 3.73254e-05
0500000US01087: 19532 to 32926.1 Area: 3.92958e-05
0500000US08065: 7436 to 32926.1 Area: 2.4451e-05
0500000US13133: 18915 to 32926.1 Area: 2.5885e-05
0500000US48289: 15719 to 32926.1 Area: 6.93988e-05
0500000US20163: 4919 to 32926.1 Area: 5.71455e-05
0500000US45009: 13311 to 32926.1 Area: 2.53186e-05
0500000US51097: 6608 to 32926.1 Area: 2.04658e-05
0500000US30057: 8623 to 32926.1 Area: 0.000229504
0500000US48023: 3465 to 32926.1 Area: 5.75078e-05
0500000US51037: 11529 to 32926.1 Area: 3.06246e-05
0500000US38005: 5964 to 32926.1 Area: 9.16228e-05
0500000US30071: 4217 to 32926.1 Area: 0.000331332
0500000US27089: 9040 to 32926.1 Area: 0.000115681
0500000US48229: 3202 to 32926.1 Area: 0.000292014
0500000US41061: 26196 to 32926.1 Area: 0.000129633
0500000US13267: 22842 to 32926.1 Area: 3.11218e-05
0500000US49019: 9669 to 32926.1 Area: 0.000235423
0500000US26137: 25091 to 32926.1 Area: 3.343e-05
0500000US28143: 9782 to 32926.1 Area: 3.01863e-05
0500000US16029: 7027 to 32926.1 Area: 0.000114514
0500000US54031: 14299 to 32926.1 Area: 3.73679e-05
0500000US51133: 11839 to 23557.6 Area: 1.37425e-05
0500000US16043: 13388 to 32926.1 Area: 0.000120799
0500000US48025: 31047 to 32926.1 Area: 5.6224e-05
0500000US29207: 28672 to 32926.1 Area: 5.31483e-05
0500000US20133: 15904 to 32926.1 Area: 3.68347e-05
0500000US40075: 8509 to 32926.1 Area: 6.5577e-05
0500000US12077: 7974 to 32926.1 Area: 5.3781e-05
0500000US37033: 22736 to 32926.1 Area: 2.73243e-05
0500000US54067: 24604 to 32926.1 Area: 4.18776e-05
0500000US31071: 1813 to 32926.1 Area: 3.64263e-05
0500000US24023: 28806 to 32926.1 Area: 4.19965e-05
0500000US19063: 9388 to 32926.1 Area: 2.5622e-05
0500000US30083: 11491 to 32926.1 Area: 0.000133456
0500000US20195: 2808 to 32926.1 Area: 5.74321e-05
0500000US51145: 30333 to 30333 Area: 1.65169e-05
0500000US37121: 14903 to 24183.6 Area: 1.41076e-05
0500000US05037: 16833 to 32926.1 Area: 3.9744e-05
0500000US45005: 8039 to 32926.1 Area: 2.63106e-05
0500000US53055: 17788 to 19146.7 Area: 1.11693e-05
0500000US18021: 26466 to 32926.1 Area: 2.2999e-05
0500000US29195: 23333 to 32926.1 Area: 4.88849e-05
0500000US56035: 8728 to 32926.1 Area: 0.000313994
0500000US51103: 10919 to 15485 Area: 9.03325e-06
0500000US48103: 4675 to 32926.1 Area: 5.00591e-05
0500000US55057: 26718 to 32926.1 Area: 5.1187e-05
0500000US56027: 2467 to 32926.1 Area: 0.00016745
0500000US27173: 9528 to 32926.1 Area: 4.86606e-05
0500000US13171: 18500 to 20296.6 Area: 1.18401e-05
0500000US45017: 14119 to 32926.1 Area: 2.4922e-05
0500000US13007: 2876 to 32926.1 Area: 2.19041e-05
0500000US16073: 11913 to 32926.1 Area: 0.000490689
0500000US28083: 28339 to 32926.1 Area: 3.89629e-05
0500000US42067: 23509 to 32926.1 Area: 2.49642e-05
0500000US18149: 23371 to 32926.1 Area: 1.98958e-05
0500000US05015: 28260 to 32926.1 Area: 4.07025e-05
0500000US27073: 6719 to 32926.1 Area: 4.96201e-05
0500000US27107: 6441 to 32926.1 Area: 5.5679e-05
0500000US23007: 29456 to 32926.1 Area: 0.000110893
0500000US27069: 4207 to 32926.1 Area: 6.99306e-05
0500000US22013: 12981 to 32926.1 Area: 5.2257e-05
0500000US21043: 26627 to 32926.1 Area: 2.62107e-05
0500000US19083: 16878 to 32926.1 Area: 3.6317e-05
0500000US05121: 18571 to 32926.1 Area: 4.16024e-05
0500000US20131: 10273 to 32926.1 Area: 4.58194e-05
0500000US05117: 8282 to 32926.1 Area: 4.31636e-05
0500000US48435: 3372 to 32926.1 Area: 9.28317e-05
0500000US48239: 14988 to 32926.1 Area: 5.48571e-05
0500000US21217: 26023 to 30555.8 Area: 1.78249e-05
0500000US41023: 7233 to 32926.1 Area: 0.000288491
0500000US48269: 265 to 32926.1 Area: 5.82796e-05
0500000US05017: 10208 to 32926.1 Area: 4.38046e-05
0500000US48311: 600 to 32926.1 Area: 7.38758e-05
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0500000US31037: 10582 to 32926.1 Area: 2.66318e-05
0500000US56003: 11521 to 32926.1 Area: 0.000200923
0500000US45089: 31026 to 32926.1 Area: 5.97174e-05
0500000US29001: 25314 to 32926.1 Area: 3.63706e-05
0500000US54093: 6762 to 32926.1 Area: 2.66937e-05
0500000US08107: 24829 to 32926.1 Area: 0.000150806
0500000US30055: 1729 to 32926.1 Area: 0.000171142
0500000US37075: 8030 to 32926.1 Area: 1.93582e-05
0500000US13221: 14825 to 32926.1 Area: 2.78941e-05
0500000US08081: 13292 to 32926.1 Area: 0.00030269
0500000US20047: 2907 to 32926.1 Area: 3.96355e-05
0500000US13083: 16251 to 18859.7 Area: 1.10019e-05
0500000US20087: 18368 to 32926.1 Area: 3.54878e-05
0500000US51720: 3687 to 3687 Area: 3.01039e-07
0500000US26133: 22891 to 32926.1 Area: 3.64799e-05
0500000US19089: 9469 to 32926.1 Area: 3.01479e-05
0500000US28133: 25971 to 32926.1 Area: 4.512e-05
0500000US38023: 2195 to 32926.1 Area: 8.2305e-05
0500000US31011: 5379 to 32926.1 Area: 4.39649e-05
0500000US27149: 9671 to 32926.1 Area: 3.66569e-05
0500000US38083: 1265 to 32926.1 Area: 6.39525e-05
0500000US17079: 9287 to 32926.1 Area: 3.18079e-05
0500000US31021: 6722 to 32926.1 Area: 3.1729e-05
0500000US54053: 25453 to 32926.1 Area: 2.82748e-05
0500000US31127: 7074 to 32926.1 Area: 2.62348e-05
0500000US13159: 14588 to 32926.1 Area: 2.38423e-05
0500000US40055: 5491 to 32926.1 Area: 4.14599e-05
0500000US28063: 7260 to 32926.1 Area: 3.36931e-05
0500000US48159: 10359 to 32261.9 Area: 1.88201e-05
0500000US20183: 3570 to 32926.1 Area: 5.71058e-05
0500000US19115: 10837 to 32926.1 Area: 2.65856e-05
0500000US17127: 14169 to 26717 Area: 1.55855e-05
0500000US31045: 8199 to 32926.1 Area: 8.92218e-05
0500000US27121: 11308 to 32926.1 Area: 4.56027e-05
0500000US28127: 25949 to 32926.1 Area: 3.78246e-05
0500000US47075: 17864 to 32926.1 Area: 3.39291e-05
0500000US27055: 18843 to 32926.1 Area: 3.62152e-05
0500000US48337: 19965 to 32926.1 Area: 6.00124e-05
0500000US17191: 16179 to 32926.1 Area: 4.56412e-05
0500000US55061: 20563 to 32926.1 Area: 2.19372e-05
0500000US18049: 20480 to 32926.1 Area: 2.36306e-05
0500000US48429: 9101 to 32926.1 Area: 5.8817e-05
0500000US30109: 937 to 32926.1 Area: 5.63684e-05
0500000US26001: 10167 to 32926.1 Area: 4.43448e-05
0500000US40115: 30285 to 32926.1 Area: 3.09179e-05
0500000US20191: 22382 to 32926.1 Area: 7.57228e-05
0500000US40015: 26945 to 32926.1 Area: 8.23565e-05
0500000US05083: 21131 to 32926.1 Area: 4.68349e-05
0500000US28037: 7675 to 32926.1 Area: 3.62101e-05
0500000US39079: 32653 to 32926.1 Area: 2.69336e-05
0500000US22049: 15031 to 32926.1 Area: 3.70768e-05
0500000US51685: 17219 to 17219 Area: 9.3768e-08
0500000US56019: 8447 to 32926.1 Area: 0.000265932
0500000US48369: 9869 to 32926.1 Area: 5.64622e-05
0500000US55013: 16526 to 32926.1 Area: 5.59647e-05
0500000US19097: 19485 to 32926.1 Area: 4.13966e-05
0500000US46107: 2472 to 32926.1 Area: 5.71179e-05
0500000US38093: 21593 to 32926.1 Area: 0.000146235
0500000US38051: 2530 to 32926.1 Area: 6.32949e-05
0500000US13035: 25434 to 25434 Area: 1.1979e-05
0500000US28097: 9822 to 32926.1 Area: 2.60753e-05
0500000US38081: 3862 to 32926.1 Area: 5.51923e-05
0500000US20033: 1689 to 32926.1 Area: 5.03744e-05
0500000US06091: 3236 to 32926.1 Area: 6.13601e-05
0500000US16051: 30891 to 32926.1 Area: 7.05458e-05
0500000US29083: 21946 to 32926.1 Area: 4.67652e-05
0500000US20179: 2447 to 32926.1 Area: 5.71192e-05
0500000US48317: 5237 to 32926.1 Area: 5.8473e-05
0500000US56045: 6838 to 32926.1 Area: 0.000152778
0500000US35003: 3579 to 32926.1 Area: 0.000442371
0500000US29199: 4716 to 32926.1 Area: 2.79306e-05
0500000US27045: 21228 to 32926.1 Area: 5.48999e-05
0500000US27033: 11517 to 32926.1 Area: 4.11837e-05
0500000US13093: 11208 to 32926.1 Area: 2.54873e-05
0500000US48297: 11335 to 32926.1 Area: 6.8935e-05
0500000US29049: 21184 to 32926.1 Area: 2.6905e-05
0500000US31059: 5551 to 32926.1 Area: 3.6748e-05
0500000US53001: 20613 to 32926.1 Area: 0.000122923
0500000US31089: 10127 to 32926.1 Area: 0.000153841
0500000US18155: 9737 to 24272 Area: 1.41592e-05
0500000US22023: 5617 to 32926.1 Area: 0.000104779
0500000US19157: 18662 to 32926.1 Area: 3.73854e-05
0500000US39175: 21900 to 32926.1 Area: 2.60292e-05
0500000US27159: 14065 to 32926.1 Area: 3.4363e-05
0500000US48279: 13045 to 32926.1 Area: 6.49324e-05
0500000US53023: 2286 to 32926.1 Area: 4.56227e-05
0500000US35059: 4079 to 32926.1 Area: 0.000244442
0500000US26131: 5816 to 32926.1 Area: 8.45904e-05
0500000US51071: 16787 to 32926.1 Area: 2.33927e-05
0500000US38025: 4095 to 32926.1 Area: 0.000132405
0500000US21055: 8990 to 32926.1 Area: 2.33412e-05
0500000US48255: 14710 to 32926.1 Area: 4.81881e-05
0500000US17015: 15702 to 32926.1 Area: 2.97332e-05
0500000US22093: 20192 to 27974.7 Area: 1.63191e-05
0500000US31067: 21704 to 32926.1 Area: 5.4854e-05
0500000US38075: 2282 to 32926.1 Area: 5.68245e-05
0500000US31171: 669 to 32926.1 Area: 4.5496e-05
0500000US31051: 5606 to 32926.1 Area: 3.07405e-05
0500000US19191: 20070 to 32926.1 Area: 4.39351e-05
0500000US13165: 8674 to 32926.1 Area: 2.25201e-05
0500000US51025: 15849 to 32926.1 Area: 3.63666e-05
0500000US30017: 11867 to 32926.1 Area: 0.000241473
0500000US20063: 2718 to 32926.1 Area: 6.83154e-05
0500000US26069: 25237 to 32926.1 Area: 3.6011e-05
0500000US48503: 17867 to 32926.1 Area: 5.94415e-05
0500000US13053: 9565 to 27444.8 Area: 1.601e-05
0500000US31057: 1654 to 32926.1 Area: 5.87151e-05
0500000US17187: 16835 to 32926.1 Area: 3.45585e-05
0500000US48345: 1063 to 32926.1 Area: 6.31876e-05
0500000US21077: 8690 to 11325.2 Area: 6.6066e-06
0500000US13307: 2348 to 22896.6 Area: 1.33568e-05
0500000US37143: 13005 to 27090.7 Area: 1.58035e-05
0500000US55113: 18074 to 32926.1 Area: 8.60542e-05
0500000US26105: 29052 to 32926.1 Area: 3.24262e-05
0500000US20207: 3115 to 32926.1 Area: 3.22474e-05
0500000US21023: 8400 to 22724.6 Area: 1.32565e-05
0500000US21081: 24941 to 28467.7 Area: 1.66067e-05
0500000US48385: 2758 to 32926.1 Area: 4.47201e-05
0500000US48153: 5402 to 32926.1 Area: 6.33635e-05
0500000US19185: 6497 to 32926.1 Area: 3.36075e-05
0500000US18031: 26472 to 32926.1 Area: 2.37387e-05
0500000US17159: 15813 to 32926.1 Area: 2.30686e-05
0500000US17193: 13877 to 32926.1 Area: 3.23499e-05
0500000US42105: 16396 to 32926.1 Area: 6.89334e-05
0500000US13281: 12493 to 18888.1 Area: 1.10185e-05
0500000US20105: 2939 to 32926.1 Area: 4.59696e-05
0500000US51183: 10829 to 32926.1 Area: 3.15151e-05
0500000US41013: 24738 to 32926.1 Area: 0.000190224
0500000US41049: 12186 to 32926.1 Area: 0.000130304
0500000US19129: 14484 to 32926.1 Area: 2.80206e-05
0500000US46063: 1311 to 32926.1 Area: 0.000170592
0500000US30097: 3678 to 32926.1 Area: 0.000118612
0500000US26127: 26659 to 32926.1 Area: 3.4855e-05
0500000US19053: 7645 to 32926.1 Area: 3.39919e-05
0500000US13161: 14779 to 32926.1 Area: 2.12551e-05
0500000US19041: 16384 to 32926.1 Area: 3.64432e-05
0500000US29075: 6162 to 32926.1 Area: 3.13058e-05
0500000US53003: 22285 to 32926.1 Area: 4.09111e-05
0500000US13043: 10981 to 27517.2 Area: 1.60523e-05

[■--------------------------------------------------------------------------] 0% [00m:00s] Rescaling to 256-by-256 grid with bounding box
(-0.554003, -0.517209, 0.535097, 0.571891)
New bounding box: 42.6667 74.5923 213.333 181.408
Start of initial simplification of C
End of initial simplification of C
Progress: 0.1

[■■■■■■■■-------------------------------------------------------------------] 10% [00m:00s]
Max. area err: 1, GeoDiv: 0500000US36061
Current Area: 0.111785, Target Area: 49.7883
Area drift: 0%

Integration number 0
Number of Points: 65166
blur_width = 2
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > inf
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 4
Number of Delaunay triangles: 2
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.3
Progress: 0.19

[■■■■■■■■■■■■■■■------------------------------------------------------------] 19% [00m:00s]
Max. area err: 41.2855, GeoDiv: 0500000US32023
Current Area: 64.1084, Target Area: 1.51609
Area drift: 4.44089e-14%

Integration number 1
Number of Points: 65166
blur_width = 1.41421
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 1.001
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 3614
Number of Delaunay triangles: 7188
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.000585937
iter = 10, t = 0.00497001, delta_t = 0.000527939
iter = 20, t = 0.0128043, delta_t = 0.000951364
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 41.2855, GeoDiv: 0500000US32023
Current Area: 64.1084, Target Area: 1.51609
Area drift: 4.44089e-14%

Integration number 1
Number of Points: 65166
blur_width = 2.82843
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 1.001
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 2036
Number of Delaunay triangles: 4032
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.00117187
iter = 10, t = 0.0113855, delta_t = 0.00105588
iter = 20, t = 0.0240333, delta_t = 0.00190273
iter = 30, t = 0.0425195, delta_t = 0.00171439
iter = 40, t = 0.0679598, delta_t = 0.00308938
iter = 50, t = 0.102649, delta_t = 0.00278358
iter = 60, t = 0.143955, delta_t = 0.00501611
iter = 70, t = 0.200278, delta_t = 0.0045196
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 41.2855, GeoDiv: 0500000US32023
Current Area: 64.1084, Target Area: 1.51609
Area drift: 4.44089e-14%

Integration number 1
Number of Points: 65166
blur_width = 5.65685
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 1.001
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 688
Number of Delaunay triangles: 1338
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0046875
iter = 10, t = 0.045542, delta_t = 0.00422351
iter = 20, t = 0.0961332, delta_t = 0.00761091
iter = 30, t = 0.165262, delta_t = 0.00685755
iter = 40, t = 0.253191, delta_t = 0.0123575
iter = 50, t = 0.373252, delta_t = 0.0111343
iter = 60, t = 0.526588, delta_t = 0.0200644
iter = 70, t = 0.721526, delta_t = 0.0180784
iter = 80, t = 0.897169, delta_t = 0.0162889
Progress: 0.271

[■■■■■■■■■■■■■■■■■■■■■------------------------------------------------------] 27% [00m:00s]
Max. area err: 47.1246, GeoDiv: 0500000US06027
Current Area: 44.7281, Target Area: 0.967586
Area drift: -3.94421%

Integration number 2
Number of Points: 65166
blur_width = 4
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.251
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 3796
Number of Delaunay triangles: 7552
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.009375
iter = 10, t = 0.112298, delta_t = 0.0168941
iter = 20, t = 0.256241, delta_t = 0.0152218
iter = 30, t = 0.438575, delta_t = 0.0274302
iter = 40, t = 0.672289, delta_t = 0.0247151
iter = 50, t = 0.897566, delta_t = 0.0222687
Progress: 0.3439

[■■■■■■■■■■■■■■■■■■■■■■■■■■-------------------------------------------------] 34% [00m:00s]
Max. area err: 18.0497, GeoDiv: 0500000US04012
Current Area: 17.7017, Target Area: 0.967586
Area drift: -3.96323%

Integration number 3
Number of Points: 65166
blur_width = 2.82843
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.112111
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 8785
Number of Delaunay triangles: 17529
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.364336, delta_t = 0.0337881
iter = 20, t = 0.829647, delta_t = 0.0304436
Progress: 0.40951

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■--------------------------------------------] 41% [00m:01s]
Max. area err: 18.1332, GeoDiv: 0500000US04012
Current Area: 17.9579, Target Area: 0.967586
Area drift: -2.99839%

Integration number 4
Number of Points: 65166
blur_width = 2
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.0635
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 12448
Number of Delaunay triangles: 24855
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.601524, delta_t = 0.0675762
Progress: 0.468559

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■---------------------------------------] 47% [00m:01s]
Max. area err: 14.3589, GeoDiv: 0500000US04012
Current Area: 14.472, Target Area: 0.967586
Area drift: -2.61839%

Integration number 5
Number of Points: 65166
blur_width = 1.41421
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.041
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 13148
Number of Delaunay triangles: 26254
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.601524, delta_t = 0.0675762
Progress: 0.521703

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-----------------------------------] 52% [00m:02s]
Max. area err: 9.12519, GeoDiv: 0500000US04012
Current Area: 9.46701, Target Area: 0.967586
Area drift: -3.36825%

Integration number 6
Number of Points: 65166
blur_width = 1
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.0287778
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 12689
Number of Delaunay triangles: 25337
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.601524, delta_t = 0.0675762
Progress: 0.569533

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■--------------------------------] 57% [00m:03s]
Max. area err: 8.74831, GeoDiv: 0500000US48229
Current Area: 9.06518, Target Area: 0.967586
Area drift: -3.89247%

Integration number 7
Number of Points: 65166
blur_width = 0.707107
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.0214082
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 12188
Number of Delaunay triangles: 24335
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.075
Progress: 0.61258

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-----------------------------] 61% [00m:03s]
Max. area err: 8.2711, GeoDiv: 0500000US48229
Current Area: 8.63839, Target Area: 0.967586
Area drift: -3.7032%

Integration number 8
Number of Points: 65166
blur_width = 0.5
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.016625
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 11812
Number of Delaunay triangles: 23583
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.804634, delta_t = 0.135152
Progress: 0.651322

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■--------------------------] 65% [00m:04s]
Max. area err: 6.3425, GeoDiv: 0500000US48229
Current Area: 6.86909, Target Area: 0.967586
Area drift: -3.3135%

Integration number 9
Number of Points: 65166
blur_width = 0.353553
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.0133457
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 11572
Number of Delaunay triangles: 23103
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.643712, delta_t = 0.135152
Progress: 0.686189

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-----------------------] 69% [00m:04s]
Max. area err: 5.23122, GeoDiv: 0500000US48229
Current Area: 5.85531, Target Area: 0.967586
Area drift: -2.88495%

Integration number 10
Number of Points: 65166
blur_width = 0.25
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.011
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 11200
Number of Delaunay triangles: 22359
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.075
Progress: 0.71757

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■--------------------] 72% [00m:05s]
Max. area err: 2.1272, GeoDiv: 0500000US48217
Current Area: 3.2179, Target Area: 1.05422
Area drift: -2.39156%

Integration number 11
Number of Points: 65166
blur_width = 0.176777
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.00926446
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 10948
Number of Delaunay triangles: 21855
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.15
Progress: 0.745813

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■------------------] 75% [00m:05s]
Max. area err: 2.22531, GeoDiv: 0500000US48217
Current Area: 3.32937, Target Area: 1.05422
Area drift: -2.08244%

Integration number 12
Number of Points: 65166
blur_width = 0.125
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.00794444
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 10788
Number of Delaunay triangles: 21535
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.01875
iter = 10, t = 0.0540263, delta_t = 0.00026397
iter = 20, t = 0.0552138, delta_t = 2.97301e-05
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 2.22531, GeoDiv: 0500000US48217
Current Area: 3.32937, Target Area: 1.05422
Area drift: -2.08244%

Integration number 12
Number of Points: 65166
blur_width = 0.25
Using Quadtree depth: 8
Split criteria: rho_max - rho_min > 0.00794444
Quadtree root node bounding box: 0 0 256 256
Number of unique corners: 11009
Number of Delaunay triangles: 21977
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
Adjusting grid size.
New grid dimensions: 512 512 with bounding box
(85.7053, 128.027, 439.806, 377.1)
Progress: 0.771232

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-----------------] 77% [00m:06s]
Max. area err: 2.37304, GeoDiv: 0500000US48217
Current Area: 13.967, Target Area: 4.21686
Area drift: -1.80476%

Integration number 13
Number of Points: 65166
blur_width = 0.353553
Using Quadtree depth: 9
Split criteria: rho_max - rho_min > 0.00691716
Quadtree root node bounding box: 0 0 512 512
Number of unique corners: 36496
Number of Delaunay triangles: 72951
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.01875
iter = 10, t = 0.0626082, delta_t = 0.00422351
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 2.37304, GeoDiv: 0500000US48217
Current Area: 13.967, Target Area: 4.21686
Area drift: -1.80476%

Integration number 13
Number of Points: 65166
blur_width = 0.707107
Using Quadtree depth: 9
Split criteria: rho_max - rho_min > 0.00691716
Quadtree root node bounding box: 0 0 512 512
Number of unique corners: 36547
Number of Delaunay triangles: 73053
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.15
Adjusting grid size.
New grid dimensions: 1024 1024 with bounding box
(170.669, 255.395, 880.127, 754.79)
Progress: 0.794109

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■---------------] 79% [00m:09s]
Max. area err: 2.4282, GeoDiv: 0500000US48507
Current Area: 52.7428, Target Area: 15.4814
Area drift: -0.622731%

Integration number 14
Number of Points: 65166
blur_width = 1
Using Quadtree depth: 10
Split criteria: rho_max - rho_min > 0.00610204
Quadtree root node bounding box: 0 0 1024 1024
Number of unique corners: 118244
Number of Delaunay triangles: 236447
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.601524, delta_t = 0.135152
Progress: 0.814698

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■--------------] 81% [00m:20s]
Max. area err: 1.70759, GeoDiv: 0500000US48389
Current Area: -10.9197, Target Area: 15.4814
Area drift: -0.317523%

Integration number 15
Number of Points: 65166
blur_width = 0.707107
Using Quadtree depth: 10
Split criteria: rho_max - rho_min > 0.00544444
Quadtree root node bounding box: 0 0 1024 1024
Number of unique corners: 108963
Number of Delaunay triangles: 217885
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.000585937
iter = 10, t = 0.00627463, delta_t = 0.00026397
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 1.70759, GeoDiv: 0500000US48389
Current Area: -10.9197, Target Area: 15.4814
Area drift: -0.317523%

Integration number 15
Number of Points: 65166
blur_width = 1.41421
Using Quadtree depth: 10
Split criteria: rho_max - rho_min > 0.00544444
Quadtree root node bounding box: 0 0 1024 1024
Number of unique corners: 111220
Number of Delaunay triangles: 222399
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.450799, delta_t = 0.0337881
iter = 20, t = 0.884037, delta_t = 0.0304436
Adjusting grid size.
New grid dimensions: 2048 2048 with bounding box
(340.598, 510.239, 1760.79, 1510.25)
Progress: 0.833228

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■------------] 83% [00m:48s]
Max. area err: 5.46255, GeoDiv: 0500000US48507
Current Area: 400.12, Target Area: 61.9255
Area drift: -0.0192359%

Integration number 16
Number of Points: 65166
blur_width = 2
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00490625
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 348453
Number of Delaunay triangles: 696865
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.000146484
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 5.46255, GeoDiv: 0500000US48507
Current Area: 400.12, Target Area: 61.9255
Area drift: -0.0192359%

Integration number 16
Number of Points: 65166
blur_width = 4
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00490625
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 286480
Number of Delaunay triangles: 572921
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 7.32422e-05
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 5.46255, GeoDiv: 0500000US48507
Current Area: 400.12, Target Area: 61.9255
Area drift: -0.0192359%

Integration number 16
Number of Points: 65166
blur_width = 8
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00490625
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 68311
Number of Delaunay triangles: 136582
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 3.66211e-05
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 5.46255, GeoDiv: 0500000US48507
Current Area: 400.12, Target Area: 61.9255
Area drift: -0.0192359%

Integration number 16
Number of Points: 65166
blur_width = 16
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00490625
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 22135
Number of Delaunay triangles: 44232
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.601524, delta_t = 0.0675762
Progress: 0.849905

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-----------] 85% [01m:59s]
Max. area err: 2.79172, GeoDiv: 0500000US48507
Current Area: 234.445, Target Area: 61.9255
Area drift: -0.153074%

Integration number 17
Number of Points: 65166
blur_width = 11.3137
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00446021
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 28204
Number of Delaunay triangles: 56369
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.15
Progress: 0.864915

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■----------] 86% [02m:01s]
Max. area err: 1.81587, GeoDiv: 0500000US48389
Current Area: -50.4305, Target Area: 61.9255
Area drift: -0.182875%

Integration number 18
Number of Points: 65166
blur_width = 8
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00408642
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 73393
Number of Delaunay triangles: 146748
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.714986, delta_t = 0.135152
Progress: 0.878423

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■--------] 88% [02m:07s]
Max. area err: 1.83141, GeoDiv: 0500000US48389
Current Area: -51.3834, Target Area: 61.9255
Area drift: -0.198104%

Integration number 19
Number of Points: 65166
blur_width = 5.65685
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00377008
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 193302
Number of Delaunay triangles: 386565
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.00117187
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 1.83141, GeoDiv: 0500000US48389
Current Area: -51.3834, Target Area: 61.9255
Area drift: -0.198104%

Integration number 19
Number of Points: 65166
blur_width = 11.3137
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00377008
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 24338
Number of Delaunay triangles: 48637
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.15
Progress: 0.890581

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■--------] 89% [02m:21s]
Max. area err: 1.8273, GeoDiv: 0500000US48389
Current Area: -51.1466, Target Area: 61.9255
Area drift: -0.16486%

Integration number 20
Number of Points: 65166
blur_width = 8
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.0035
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 78782
Number of Delaunay triangles: 157526
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.541759, delta_t = 0.0675762
Adjusting grid size.
Cannot increase grid size further. Grid size exceeds maximum allowed grid length.
Progress: 0.901523

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-------] 90% [02m:28s]
Max. area err: 1.88003, GeoDiv: 0500000US48013
Current Area: 264.823, Target Area: 92.1208
Area drift: -0.18381%

Integration number 21
Number of Points: 65166
blur_width = 5.65685
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00326757
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 214788
Number of Delaunay triangles: 429537
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.000292969
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 1.88003, GeoDiv: 0500000US48013
Current Area: 264.823, Target Area: 92.1208
Area drift: -0.18381%

Integration number 21
Number of Points: 65166
blur_width = 11.3137
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00326757
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 25207
Number of Delaunay triangles: 50375
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.3
Progress: 0.911371

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■------] 91% [02m:46s]
Max. area err: 1.85966, GeoDiv: 0500000US48013
Current Area: 262.999, Target Area: 92.1208
Area drift: -0.164962%

Integration number 22
Number of Points: 65166
blur_width = 8
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00306612
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 86125
Number of Delaunay triangles: 172211
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.075
Progress: 0.920234

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-----] 92% [02m:52s]
Max. area err: 1.86811, GeoDiv: 0500000US48389
Current Area: -53.6709, Target Area: 61.9255
Area drift: -0.162846%

Integration number 23
Number of Points: 65166
blur_width = 5.65685
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00289036
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 233284
Number of Delaunay triangles: 466529
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.000146484
Delaunay triangle flipped detected. Increasing blur width and running again.
Max. area err: 1.86811, GeoDiv: 0500000US48389
Current Area: -53.6709, Target Area: 61.9255
Area drift: -0.162846%

Integration number 23
Number of Points: 65166
blur_width = 11.3137
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00289036
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 25711
Number of Delaunay triangles: 51383
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.15
Adjusting grid size.
Cannot increase grid size further. Grid size exceeds maximum allowed grid length.
Progress: 0.92821

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■-----] 93% [03m:14s]
Max. area err: 1.88778, GeoDiv: 0500000US48389
Current Area: -54.8857, Target Area: 61.9255
Area drift: -0.164391%

Integration number 24
Number of Points: 65166
blur_width = 8
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00273611
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 92919
Number of Delaunay triangles: 185799
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.15
Adjusting grid size.
Cannot increase grid size further. Grid size exceeds maximum allowed grid length.
Progress: 0.935389

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■----] 94% [03m:19s]
Max. area err: 1.89114, GeoDiv: 0500000US48389
Current Area: -55.1015, Target Area: 61.9255
Area drift: -0.150193%

Integration number 25
Number of Points: 65166
blur_width = 5.65685
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.0026
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 247754
Number of Delaunay triangles: 495469
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.01875
iter = 10, t = 0.270879, delta_t = 0.0675762
Adjusting grid size.
Cannot increase grid size further. Grid size exceeds maximum allowed grid length.
Progress: 0.94185

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■----] 94% [03m:56s]
Max. area err: 1.94278, GeoDiv: 0500000US48389
Current Area: -58.2961, Target Area: 61.9255
Area drift: -0.147305%

Integration number 26
Number of Points: 65166
blur_width = 4
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00247929
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 345403
Number of Delaunay triangles: 690767
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.0375
iter = 10, t = 0.364336, delta_t = 0.0337881
iter = 20, t = 0.692609, delta_t = 0.0304436
iter = 30, t = 0.934582, delta_t = 0.0137151
Progress: 0.947665

[■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■---] 95% [05m:45s]
Max. area err: 1.9052, GeoDiv: 0500000US48389
Current Area: -56.0202, Target Area: 61.9255
Area drift: -0.0614398%

Integration number 27
Number of Points: 65166
blur_width = 2.82843
Using Quadtree depth: 11
Split criteria: rho_max - rho_min > 0.00237174
Quadtree root node bounding box: 0 0 2048 2048
Number of unique corners: 360316
Number of Delaunay triangles: 720593
In flatten_density_with_node_vertices()
iter = 0, t = 0, delta_t = 0.075

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