| case,delta_beta_norm,coefficient_error,paper_bound,error_to_bound_ratio | |
| 0,0.0009999999999999998,6.812785195238432e-05,0.0027232662332146405,0.025016963498263548 | |
| 1,0.00125,0.0003081142231187279,0.0034040827915183015,0.09051314024630454 | |
| 2,0.0015000000000000002,0.00010516700486369394,0.0040848993498219625,0.02574531117107636 | |
| 3,0.0017500000000000003,0.000332037196564083,0.004765715908125623,0.06967204990082482 | |
| 4,0.002,0.0004512206126504964,0.005446532466429282,0.08284548296217434 | |
| 5,0.0022500000000000003,0.0002478091598240905,0.006127349024732943,0.04044312782311126 | |
| 6,0.0025,0.00038242911035231165,0.006808165583036603,0.056172122385680756 | |
| 7,0.00275,6.88272034298756e-05,0.007488982141340262,0.009190461685031868 | |
| 8,0.001,4.979175173229862e-05,0.002723266233214641,0.018283835463829275 | |
| 9,0.00125,0.0004390035939801703,0.0034040827915183015,0.1289638416180719 | |
| 10,0.0015000000000000002,9.919828920038332e-05,0.0040848993498219625,0.024284145264119372 | |
| 11,0.00175,0.00039572102880170194,0.004765715908125622,0.0830349597899848 | |
| 12,0.002,0.0006252224146796484,0.005446532466429282,0.11479274539045224 | |
| 13,0.0022500000000000003,0.0002873277621531333,0.006127349024732943,0.046892671038215636 | |
| 14,0.0025,0.0004321880585926301,0.006808165583036603,0.06348083831413866 | |
| 15,0.0027499999999999994,0.0005984595015823645,0.0074889821413402615,0.0799119947527691 | |
| 16,0.001,0.00017022372759114028,0.002723266233214641,0.06250719283887352 | |
| 17,0.0012499999999999998,0.00043847288806090533,0.0034040827915183007,0.12880793885313704 | |
| 18,0.0015,0.0006647139095687543,0.004084899349821962,0.16272467266487864 | |
| 19,0.0017500000000000005,0.0003039501450837448,0.0047657159081256235,0.06377848594909001 | |
| 20,0.002,0.0003549270106623343,0.005446532466429282,0.06516568346007172 | |
| 21,0.0022500000000000007,0.0003281320323258195,0.006127349024732945,0.05355203873670651 | |
| 22,0.0025,0.000995195813575962,0.006808165583036603,0.1461767933576141 | |
| 23,0.00275,0.00048222299644472006,0.007488982141340262,0.06439099297390222 | |
| 24,0.001,0.0003230501212501275,0.002723266233214641,0.11862597836010605 | |
| 25,0.0012499999999999998,0.0002824837877034008,0.0034040827915183007,0.08298381825707783 | |
| 26,0.0015000000000000002,0.0003456525452387308,0.0040848993498219625,0.0846171510330593 | |
| 27,0.00175,0.0002682467985310807,0.004765715908125622,0.05628677909098938 | |
| 28,0.002,0.0002941201337999316,0.005446532466429282,0.05400135510304875 | |
| 29,0.0022500000000000003,0.000505825795588809,0.006127349024732943,0.08255214343871249 | |
| 30,0.0025,0.000839608813152073,0.006808165583036603,0.1233237944805666 | |
| 31,0.00275,0.0007696025077424093,0.007488982141340262,0.10276463386046715 | |
| 32,0.001,0.00033267735387115485,0.002723266233214641,0.12216115700096299 | |
| 33,0.00125,0.0001548921104036929,0.0034040827915183015,0.04550186346513839 | |
| 34,0.0015,0.00022355565283948482,0.004084899349821962,0.054727334432176006 | |
| 35,0.0017499999999999998,0.00019759818222275512,0.004765715908125622,0.04146243419290836 | |
| 36,0.002,0.00013556643254732564,0.005446532466429282,0.024890411171312136 | |
| 37,0.0022500000000000007,0.00014244451374405783,0.006127349024732945,0.023247331459181265 | |
| 38,0.0024999999999999996,0.000493274271323665,0.006808165583036601,0.07245333053483888 | |
| 39,0.0027500000000000003,0.0005509152491654381,0.007488982141340264,0.07356343475895159 | |
| 40,0.001,0.00020503632971448016,0.002723266233214641,0.07529059304365109 | |
| 41,0.00125,0.0006648803022727382,0.0034040827915183015,0.19531848753190453 | |
| 42,0.0014999999999999998,0.00011738531607938989,0.004084899349821961,0.02873640352595373 | |
| 43,0.00175,0.0002780279032573507,0.004765715908125622,0.058339168472738526 | |
| 44,0.002,0.00024416820034358543,0.005446532466429282,0.04483002751724361 | |
| 45,0.0022500000000000007,0.00039689934659315796,0.006127349024732945,0.06477505116667587 | |
| 46,0.0025,0.00043665439537240975,0.006808165583036603,0.0641368647760843 | |
| 47,0.0027500000000000003,0.00031531582108550746,0.007488982141340264,0.042103962212023255 | |
| 48,0.001,0.00020433553761684472,0.002723266233214641,0.07503325790355787 | |
| 49,0.00125,0.00015460828382593222,0.0034040827915183015,0.04541848518231052 | |
| 50,0.0015,0.00018654695170727955,0.004084899349821962,0.04566745364617371 | |
| 51,0.00175,0.00038009093086653894,0.004765715908125622,0.07975526409756777 | |
| 52,0.002,0.00043091749136465985,0.005446532466429282,0.0791177678680335 | |
| 53,0.0022500000000000003,0.0003169445988984641,0.006127349024732943,0.051726219221252534 | |
| 54,0.0025,0.0002111794120199613,0.006808165583036603,0.031018548160188886 | |
| 55,0.0027500000000000003,0.00042575621698805367,0.007488982141340264,0.05685101245439187 | |
| 56,0.0009999999999999998,0.00020773792050807392,0.0027232662332146405,0.07628263368978533 | |
| 57,0.00125,0.0002310230285619352,0.0034040827915183015,0.0678664541113859 | |
| 58,0.0015000000000000002,0.00013272655285794606,0.0040848993498219625,0.03249200077934132 | |
| 59,0.00175,0.0005207561880055041,0.004765715908125622,0.1092713451755709 | |
| 60,0.002,0.0006854070799043159,0.005446532466429282,0.1258428337899297 | |
| 61,0.0022500000000000003,0.00032884136171791557,0.006127349024732943,0.05366780321972077 | |
| 62,0.0025,0.00026283190215811226,0.006808165583036603,0.038605392150418735 | |
| 63,0.00275,0.00033607503312391694,0.007488982141340262,0.044875929302693116 | |