beta: 0.2
preprocessing time for sampling: 8.489636898040771
amortized time for sample size  5 is:  0.0030250849723815914
preprocessing time for sampling: 8.592697143554688
amortized time for sample size  10 is:  0.002902892827987671
preprocessing time for sampling: 8.453188180923462
amortized time for sample size  15 is:  0.0029287926355997724
preprocessing time for sampling: 8.346411943435669
amortized time for sample size  20 is:  0.003017994403839111
preprocessing time for sampling: 8.358282089233398
amortized time for sample size  25 is:  0.0028511695861816416
preprocessing time for sampling: 8.33611798286438
amortized time for sample size  30 is:  0.0028559904098510746
preprocessing time for sampling: 8.331302165985107
amortized time for sample size  35 is:  0.0028922809873308457
preprocessing time for sampling: 8.408843755722046
amortized time for sample size  40 is:  0.0032613497972488405
preprocessing time for sampling: 8.646463871002197
amortized time for sample size  45 is:  0.002941235489315457
preprocessing time for sampling: 8.443396091461182
amortized time for sample size  50 is:  0.0028805335998535165
preprocessing time for sampling: 8.623607158660889
amortized time for sample size  55 is:  0.002994417537342418
preprocessing time for sampling: 8.533074855804443
amortized time for sample size  60 is:  0.002947184085845947
preprocessing time for sampling: 8.500246047973633
amortized time for sample size  65 is:  0.002944231620201697
preprocessing time for sampling: 8.537073135375977
amortized time for sample size  70 is:  0.0030411142962319514
preprocessing time for sampling: 8.593825101852417
amortized time for sample size  75 is:  0.0029788198153177896
preprocessing time for sampling: 8.500018835067749
amortized time for sample size  80 is:  0.003054624855518341
preprocessing time for sampling: 8.543379783630371
amortized time for sample size  85 is:  0.003002328003154081
preprocessing time for sampling: 8.53453016281128
amortized time for sample size  90 is:  0.0030020396974351667
preprocessing time for sampling: 8.585087299346924
amortized time for sample size  95 is:  0.003067344866300884
preprocessing time for sampling: 8.563028812408447
amortized time for sample size  100 is:  0.0030517578840255737
preprocessing time for sampling: 8.557340145111084
amortized time for sample size  105 is:  0.003133986949920654
preprocessing time for sampling: 8.590353012084961
amortized time for sample size  110 is:  0.0030905781659212985
preprocessing time for sampling: 8.76038908958435
amortized time for sample size  115 is:  0.00310535136513088
preprocessing time for sampling: 8.625596761703491
amortized time for sample size  120 is:  0.0030390435655911767
preprocessing time for sampling: 8.550713062286377
amortized time for sample size  125 is:  0.003007192764282226
preprocessing time for sampling: 8.527976274490356
amortized time for sample size  130 is:  0.0031098557802347036
preprocessing time for sampling: 8.57293701171875
amortized time for sample size  135 is:  0.0030277766651577416
preprocessing time for sampling: 8.519981145858765
amortized time for sample size  140 is:  0.003040599022592817
preprocessing time for sampling: 8.512873888015747
amortized time for sample size  145 is:  0.00300327259918739
preprocessing time for sampling: 8.533449172973633
amortized time for sample size  150 is:  0.0030134588559468595
preprocessing time for sampling: 8.516371965408325
amortized time for sample size  155 is:  0.003033297231120448
preprocessing time for sampling: 8.523226261138916
amortized time for sample size  160 is:  0.0030459360331296912
preprocessing time for sampling: 8.55721402168274
amortized time for sample size  165 is:  0.002986825379458341
preprocessing time for sampling: 8.54715609550476
amortized time for sample size  170 is:  0.00305865935718312
preprocessing time for sampling: 8.492547035217285
amortized time for sample size  175 is:  0.0030363959039960593
preprocessing time for sampling: 8.523366928100586
amortized time for sample size  180 is:  0.0030904872417449954
preprocessing time for sampling: 8.510272026062012
amortized time for sample size  185 is:  0.0029864018027846878
preprocessing time for sampling: 8.540136098861694
amortized time for sample size  190 is:  0.0030248206163707536
preprocessing time for sampling: 8.510113954544067
amortized time for sample size  195 is:  0.003047422616909712
preprocessing time for sampling: 8.525197744369507
amortized time for sample size  200 is:  0.0030903897881507875
preprocessing time for sampling: 8.53836703300476
amortized time for sample size  205 is:  0.0030650417048756666
preprocessing time for sampling: 8.738279819488525
amortized time for sample size  210 is:  0.003077924614860898
preprocessing time for sampling: 8.470044136047363
amortized time for sample size  215 is:  0.003020578506381012
preprocessing time for sampling: 8.604845762252808
amortized time for sample size  220 is:  0.0030713485262610697
preprocessing time for sampling: 8.562181234359741
amortized time for sample size  225 is:  0.0030623238669501406
preprocessing time for sampling: 8.51379108428955
amortized time for sample size  230 is:  0.003009713110716447
preprocessing time for sampling: 8.570071697235107
amortized time for sample size  235 is:  0.003011148270140303
preprocessing time for sampling: 8.564308881759644
amortized time for sample size  240 is:  0.0030084550678730003
preprocessing time for sampling: 8.463295936584473
amortized time for sample size  245 is:  0.002974136255225357
preprocessing time for sampling: 8.534645795822144
amortized time for sample size  250 is:  0.0029832092571258546
*** results for plotting, beta= 0.2 

mean_list= [np.float64(0.26999999999999996), np.float64(0.4499999999999999), np.float64(0.5400000000000001), np.float64(0.5700000000000001), np.float64(0.62), np.float64(0.6199999999999999), np.float64(0.56), np.float64(0.6399999999999999), np.float64(0.63), np.float64(0.73), np.float64(0.7), np.float64(0.6900000000000001), np.float64(0.6399999999999999), np.float64(0.71), np.float64(0.6900000000000001), np.float64(0.76), np.float64(0.6599999999999999), np.float64(0.7000000000000001), np.float64(0.7299999999999999), np.float64(0.74), np.float64(0.6900000000000001), np.float64(0.8300000000000001), np.float64(0.79), np.float64(0.76), np.float64(0.72), np.float64(0.73), np.float64(0.8099999999999999), np.float64(0.74), np.float64(0.73), np.float64(0.73), np.float64(0.77), np.float64(0.78), np.float64(0.77), np.float64(0.8699999999999999), np.float64(0.8400000000000001), np.float64(0.82), np.float64(0.74), np.float64(0.78), np.float64(0.7199999999999999), np.float64(0.74), np.float64(0.7300000000000001), np.float64(0.8), np.float64(0.75), np.float64(0.7300000000000001), np.float64(0.8), np.float64(0.78), np.float64(0.8100000000000002), np.float64(0.7899999999999999), np.float64(0.8300000000000001), np.float64(0.8099999999999999)]
std_list= [np.float64(0.1004987562112089), np.float64(0.13601470508735442), np.float64(0.18000000000000002), np.float64(0.1615549442140351), np.float64(0.132664991614216), np.float64(0.1661324772583615), np.float64(0.1624807680927192), np.float64(0.10198039027185571), np.float64(0.11), np.float64(0.1676305461424021), np.float64(0.10000000000000003), np.float64(0.13000000000000003), np.float64(0.14282856857085702), np.float64(0.10440306508910553), np.float64(0.14456832294800961), np.float64(0.08000000000000003), np.float64(0.11999999999999998), np.float64(0.18973665961010275), np.float64(0.10049875621120892), np.float64(0.128062484748657), np.float64(0.11357816691600547), np.float64(0.09), np.float64(0.13000000000000003), np.float64(0.10198039027185572), np.float64(0.15362291495737218), np.float64(0.14177446878757827), np.float64(0.14456832294800961), np.float64(0.11135528725660047), np.float64(0.15524174696260024), np.float64(0.1676305461424021), np.float64(0.10049875621120893), np.float64(0.12489995996796799), np.float64(0.12688577540449522), np.float64(0.06403124237432847), np.float64(0.09165151389911681), np.float64(0.1077032961426901), np.float64(0.09165151389911684), np.float64(0.17204650534085256), np.float64(0.14696938456699069), np.float64(0.128062484748657), np.float64(0.10049875621120892), np.float64(0.11832159566199234), np.float64(0.08062257748298553), np.float64(0.12688577540449522), np.float64(0.1341640786499874), np.float64(0.1469693845669907), np.float64(0.09433981132056606), np.float64(0.10440306508910552), np.float64(0.12688577540449522), np.float64(0.08306623862918078)]
beta: 0.4
preprocessing time for sampling: 8.4532790184021
amortized time for sample size  5 is:  0.0032348814010620115
preprocessing time for sampling: 8.443493843078613
amortized time for sample size  10 is:  0.002939305305480957
preprocessing time for sampling: 8.54541802406311
amortized time for sample size  15 is:  0.0030807557106018076
preprocessing time for sampling: 8.522175073623657
amortized time for sample size  20 is:  0.002965271711349487
preprocessing time for sampling: 8.43060827255249
amortized time for sample size  25 is:  0.003125455474853515
preprocessing time for sampling: 8.497216701507568
amortized time for sample size  30 is:  0.0030440398057301836
preprocessing time for sampling: 8.522647142410278
amortized time for sample size  35 is:  0.0030747114590236125
preprocessing time for sampling: 8.49448013305664
amortized time for sample size  40 is:  0.003152619481086731
preprocessing time for sampling: 8.525662899017334
amortized time for sample size  45 is:  0.0030759406619601777
preprocessing time for sampling: 8.464776277542114
amortized time for sample size  50 is:  0.0030469567298889153
preprocessing time for sampling: 8.509033918380737
amortized time for sample size  55 is:  0.0031104950471357875
preprocessing time for sampling: 8.618268966674805
amortized time for sample size  60 is:  0.003110863327980041
preprocessing time for sampling: 8.551044940948486
amortized time for sample size  65 is:  0.0030397180410531854
preprocessing time for sampling: 8.558663129806519
amortized time for sample size  70 is:  0.0030872669560568678
preprocessing time for sampling: 8.561762809753418
amortized time for sample size  75 is:  0.0030493678410847985
preprocessing time for sampling: 8.543547868728638
amortized time for sample size  80 is:  0.00302550357580185
preprocessing time for sampling: 8.578364849090576
amortized time for sample size  85 is:  0.00314365120495067
preprocessing time for sampling: 8.55965280532837
amortized time for sample size  90 is:  0.0030190865993499753
preprocessing time for sampling: 8.517399787902832
amortized time for sample size  95 is:  0.003106808913381476
preprocessing time for sampling: 8.511657953262329
amortized time for sample size  100 is:  0.0030485350131988524
preprocessing time for sampling: 8.526676893234253
amortized time for sample size  105 is:  0.0030655003275190085
preprocessing time for sampling: 8.511011123657227
amortized time for sample size  110 is:  0.003057511307976462
preprocessing time for sampling: 8.573111057281494
amortized time for sample size  115 is:  0.0030615411634030546
preprocessing time for sampling: 8.604931831359863
amortized time for sample size  120 is:  0.0031058387955029813
preprocessing time for sampling: 8.599071979522705
amortized time for sample size  125 is:  0.003219028778076172
preprocessing time for sampling: 8.735177993774414
amortized time for sample size  130 is:  0.003077444553375245
preprocessing time for sampling: 8.540779829025269
amortized time for sample size  135 is:  0.0030333153406778973
preprocessing time for sampling: 8.571438074111938
amortized time for sample size  140 is:  0.0030163732256208143
preprocessing time for sampling: 8.53942608833313
amortized time for sample size  145 is:  0.003047402891619452
preprocessing time for sampling: 8.616432189941406
amortized time for sample size  150 is:  0.003089822626113891
preprocessing time for sampling: 8.60208010673523
amortized time for sample size  155 is:  0.0030888236107364784
preprocessing time for sampling: 8.600294828414917
amortized time for sample size  160 is:  0.0030967085808515553
preprocessing time for sampling: 8.572734355926514
amortized time for sample size  165 is:  0.003087899973898223
preprocessing time for sampling: 8.671118021011353
amortized time for sample size  170 is:  0.003087578787523158
preprocessing time for sampling: 8.55741286277771
amortized time for sample size  175 is:  0.0030776233536856518
preprocessing time for sampling: 8.559957027435303
amortized time for sample size  180 is:  0.0030624724494086376
preprocessing time for sampling: 8.592515230178833
amortized time for sample size  185 is:  0.0031008217141434945
preprocessing time for sampling: 8.56614875793457
amortized time for sample size  190 is:  0.003084763890818546
preprocessing time for sampling: 8.545305967330933
amortized time for sample size  195 is:  0.003118351288330861
preprocessing time for sampling: 8.604158163070679
amortized time for sample size  200 is:  0.0030931956887245175
preprocessing time for sampling: 8.562018156051636
amortized time for sample size  205 is:  0.0030779842632572825
preprocessing time for sampling: 8.556215047836304
amortized time for sample size  210 is:  0.0030985119342803956
preprocessing time for sampling: 8.553337097167969
amortized time for sample size  215 is:  0.003123013640558997
preprocessing time for sampling: 8.693387985229492
amortized time for sample size  220 is:  0.0031188506429845634
preprocessing time for sampling: 8.580474138259888
amortized time for sample size  225 is:  0.0031103607601589635
preprocessing time for sampling: 8.519270181655884
amortized time for sample size  230 is:  0.0029661877673605214
preprocessing time for sampling: 8.472442865371704
amortized time for sample size  235 is:  0.002932684614303264
preprocessing time for sampling: 8.446248054504395
amortized time for sample size  240 is:  0.002930802961190542
preprocessing time for sampling: 8.437944889068604
amortized time for sample size  245 is:  0.0029673696245465964
preprocessing time for sampling: 8.473994970321655
amortized time for sample size  250 is:  0.0029399582958221445
*** results for plotting, beta= 0.4 

mean_list= 