logbook-files/outputs/substantive/lower_bound.csv

k,p,D,loss,global_loss,excess,scaled_p_excess,upper_bound,bound_ratio
4,1,4,0.6485168547714751,0.5994382192055328,0.049078635565942386,0.049078635565942386,11.313708498984761,0.004337979502507641
4,2,8,0.6327000561067574,0.5994382192055328,0.03326183690122464,0.06652367380244928,8.0,0.00415772961265308
4,3,12,0.6250765112168983,0.5994382192055328,0.025638292011365582,0.07691487603409675,6.531972647421809,0.003925045831519993
8,1,8,0.6485168547714751,0.5994382192055328,0.049078635565942386,0.049078635565942386,32.0,0.0015337073614356996
8,2,16,0.6327000561067574,0.5994382192055328,0.03326183690122464,0.06652367380244928,22.627416997969522,0.0014699794017235552
8,3,24,0.6250765112168983,0.5994382192055328,0.025638292011365582,0.07691487603409675,18.475208614068027,0.0013877132619678888
8,4,32,0.6207984871108916,0.5994382192055328,0.021360267905358832,0.08544107162143533,16.0,0.001335016744084927
8,5,40,0.6180520715910094,0.5994382192055328,0.018613852385476637,0.09306926192738318,14.310835055998654,0.0013006824767835118
8,6,48,0.6161149975750733,0.5994382192055328,0.016676778369540513,0.10006067021724308,13.063945294843618,0.0012765499237143078
8,7,56,0.6146599561081132,0.5994382192055328,0.01522173690258044,0.10655215831806308,12.094863136295272,0.001258529073958827
12,1,12,0.6485168547714751,0.5994382192055328,0.049078635565942386,0.049078635565942386,58.78775382679628,0.0008348445445039551
12,2,24,0.6327000561067574,0.5994382192055328,0.03326183690122464,0.06652367380244928,41.56921938165306,0.0008001554370276445
12,3,36,0.6250765112168983,0.5994382192055328,0.025638292011365582,0.07691487603409675,33.941125496954285,0.0007553754224698954
12,4,48,0.6207984871108916,0.5994382192055328,0.021360267905358832,0.08544107162143533,29.39387691339814,0.0007266910713510719
12,5,60,0.6180520715910094,0.5994382192055328,0.018613852385476637,0.09306926192738318,26.290682760247975,0.0007080018634442292
12,6,72,0.616114997574475,0.5994382192055328,0.016676778368942213,0.10006067021365328,24.000000000000004,0.0006948657653725921
12,7,84,0.6146599561128447,0.5994382192055328,0.015221736907311989,0.10655215835118392,22.219682394541238,0.0006850564574699568
12,8,96,0.6135178448179879,0.5994382192055328,0.014079625612455127,0.11263700489964101,20.78460969082653,0.0006774063031200096
12,9,108,0.6125918865419568,0.5994382192055328,0.01315366733642409,0.11838300602781682,19.595917942265427,0.0006712452754281861
12,10,120,0.6118223287037362,0.5994382192055328,0.012384109498203455,0.12384109498203455,18.5903200617956,0.0006661590256132093
12,11,132,0.6111700932493134,0.5994382192055328,0.011731874043780621,0.12905061448158683,17.725174701023917,0.0006618763561807328
16,1,16,0.6485168547714751,0.5994382192055328,0.049078635565942386,0.049078635565942386,90.50966799187809,0.0005422474378134551
16,2,32,0.6327000561067574,0.5994382192055328,0.03326183690122464,0.06652367380244928,64.0,0.000519716201581635
16,3,48,0.6250765112168983,0.5994382192055328,0.025638292011365582,0.07691487603409675,52.25578117937447,0.0004906307289399991
16,4,64,0.6207984871107131,0.5994382192055328,0.021360267905180308,0.08544107162072123,45.254833995939045,0.0004719996963660739
16,5,80,0.618052071591801,0.5994382192055328,0.018613852386268226,0.09306926193134113,40.47715405015526,0.00045986069977162414
16,6,96,0.6161149975747218,0.5994382192055328,0.016676778369189016,0.1000606702151341,36.950417228136054,0.0004513285537812659
16,7,112,0.6146599561079746,0.5994382192055328,0.015221736902441885,0.10655215831709319,34.20943896479032,0.000444957221254306
16,8,128,0.6135178448065182,0.5994382192055328,0.014079625600985413,0.1126370048078833,32.0,0.00043998830003079414
16,9,144,0.6125918865311446,0.5994382192055328,0.01315366732561185,0.11838300593050666,30.16988933062603,0.00043598659515994023
16,10,160,0.6118223286943272,0.5994382192055328,0.012384109488794426,0.12384109488794426,28.621670111997307,0.0004326829790272579
16,11,176,0.6111700932390329,0.5994382192055328,0.011731874033500178,0.12905061436850196,27.289691693518137,0.0004299013035858789
16,12,192,0.6106084432826091,0.5994382192055328,0.011170224077076352,0.13404268892491622,26.127890589687237,0.00042752108283419083
16,13,208,0.6101184071613102,0.5994382192055328,0.01068018795577741,0.13884244342510632,25.102865297687558,0.00042545692808865346
16,14,224,0.609686112639058,0.5994382192055328,0.01024789343352528,0.1434705080693539,24.189726272590544,0.00042364652324062055
16,15,240,0.6093011572061152,0.5994382192055328,0.009862938000582466,0.147944070008737,23.36949578688709,0.0004220432520463998
24,1,24,0.6485168547714751,0.5994382192055328,0.049078635565942386,0.049078635565942386,166.27687752661225,0.00029516211932767054
24,2,48,0.6327000561067574,0.5994382192055328,0.03326183690122464,0.06652367380244928,117.57550765359257,0.0002828976677627665
24,3,72,0.6250765112168983,0.5994382192055328,0.025638292011365582,0.07691487603409675,96.00000000000001,0.0002670655417850581
24,4,96,0.6207984871108916,0.5994382192055328,0.021360267905358832,0.08544107162143533,83.13843876330613,0.00025692409219003003
24,5,120,0.6180520715910094,0.5994382192055328,0.018613852385476637,0.09306926192738318,74.3612802471824,0.00025031645936706326
24,6,144,0.616114997574475,0.5994382192055328,0.016676778368942213,0.10006067021365328,67.88225099390857,0.0002456721473546702
24,7,168,0.6146599561128447,0.5994382192055328,0.015221736907311989,0.10655215835118392,62.846752387965815,0.00024220403328632008
24,8,192,0.6135178448179879,0.5994382192055328,0.014079625612455127,0.11263700489964101,58.78775382679628,0.00023949929527733438
24,9,216,0.6125918865419568,0.5994382192055328,0.01315366733642409,0.11838300602781682,55.42562584220408,0.00023732104304735114
24,10,240,0.6118223287037362,0.5994382192055328,0.012384109498203455,0.12384109498203455,52.58136552049595,0.00023552278217986165
24,11,264,0.6111700932493134,0.5994382192055328,0.011731874043780621,0.12905061448158683,50.13436491524098,0.00023400862988121946
24,12,288,0.6106084432911996,0.5994382192055328,0.011170224085666813,0.13404268902800176,48.00000000000001,0.00023271300178472523
24,13,312,0.61011840716878,0.5994382192055328,0.010680187963247212,0.13884244352221375,46.116908295865095,0.00023158941823957465
24,14,336,0.6096861126458153,0.5994382192055328,0.01024789344028254,0.14347050816395557,44.439364789082475,0.0002306039586506458
24,15,360,0.6093011572120872,0.5994382192055328,0.009862938006554467,0.147944070098317,42.93250516799597,0.00022973124833877137
24,16,384,0.608955570971536,0.5994382192055328,0.009517351766003213,0.1522776282560514,41.56921938165306,0.00022895190016976308
24,17,408,0.6086431337703881,0.5994382192055328,0.009204914564855393,0.15648354760254168,40.32806642000669,0.00022825082831863343
24,18,432,0.6083589122357903,0.5994382192055328,0.008920693030257554,0.16057247454463597,39.19183588453085,0.00022761610495972148
24,19,456,0.6080989378261152,0.5994382192055328,0.008660718620582486,0.16455365379106723,38.146531883473266,0.00022703816554119524
24,20,480,0.6078599778939572,0.5994382192055328,0.00842175868842443,0.1684351737684886,37.1806401235912,0.00022650924406975996
24,21,504,0.6076393696572702,0.5994382192055328,0.008201150451737416,0.17222415948648573,36.284589408885815,0.00022602296416585651
24,22,528,0.6074348976511668,0.5994382192055328,0.007996678445634009,0.1759269258039482,35.450349402047834,0.00022557403750644191
24,23,552,0.6072447018504556,0.5994382192055328,0.007806482644922896,0.17954910083322662,34.67112568870154,0.00022515803827698725