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