Utils to find the length of a number https://redd.it/5yvkq2

console

0.00034523s ~ len_str -> [(33732, 5), (18135, 5), (32243, 5), (81089, 5), (68647, 5), (2366, 4), (9349, 4), (85333, 5), (95218, 5), (47511, 5), (21534, 5), (38933, 5), (5711, 4), (27806, 5), (88600, 5), (2308, 4), (39123, 5), (48523, 5), (93044, 5), (4050, 4), (76932, 5), (91507, 5), (52110, 5), (25791, 5), (17215, 5), (33635, 5), (89989, 5), (87507, 5), (49000, 5), (97053, 5), (68087, 5), (12855, 5), (25960, 5), (97564, 5), (45335, 5), (44133, 5), (90997, 5), (13684, 5), (54400, 5), (56286, 5), (29751, 5), (10289, 5), (84436, 5), (31951, 5), (50777, 5), (60118, 5), (31703, 5), (18884, 5), (63052, 5), (47937, 5), (83097, 5), (59896, 5), (44730, 5), (22449, 5), (20891, 5), (71368, 5), (54919, 5), (23886, 5), (55558, 5), (44528, 5), (62674, 5), (94921, 5), (39387, 5), (69670, 5), (66154, 5), (76111, 5), (58857, 5), (88723, 5), (55477, 5), (7517, 4), (45595, 5), (74720, 5), (79680, 5), (21093, 5), (8605, 4), (13044, 5), (42621, 5), (82595, 5), (96530, 5), (28338, 5), (57982, 5), (7373, 4), (38178, 5), (37716, 5), (8015, 4), (59328, 5), (91514, 5), (73889, 5), (93033, 5), (54966, 5), (33410, 5), (27935, 5), (87239, 5), (6753, 4), (39603, 5), (75317, 5), (28759, 5), (9421, 4), (63006, 5), (35473, 5), (17184, 5), (59407, 5), (67305, 5), (58668, 5), (18594, 5), (5123, 4), (94647, 5), (5491, 4), (68561, 5), (98227, 5), (46681, 5), (8907, 4), (22773, 5), (30076, 5), (43238, 5), (26361, 5), (76034, 5), (58518, 5), (3714, 4), (84638, 5), (75132, 5), (54162, 5), (54717, 5), (54896, 5), (66851, 5), (40749, 5), (88585, 5), (25145, 5), (38041, 5), (67580, 5), (23076, 5), (64273, 5), (3905, 4), (29163, 5), (44941, 5), (61151, 5), (38566, 5), (44856, 5), (66443, 5), (18749, 5), (96994, 5), (43194, 5), (56767, 5), (16246, 5), (99777, 5), (47858, 5), (52697, 5), (40725, 5), (62351, 5), (52175, 5), (12503, 5), (55569, 5), (67225, 5), (77487, 5), (99629, 5), (5759, 4), (35247, 5), (81015, 5), (54869, 5), (9515, 4), (7231, 4), (9304, 4), (32826, 5), (54802, 5), (71787, 5), (13229, 5), (11087, 5), (65416, 5), (70339, 5), (89937, 5), (63858, 5), (23233, 5), (92283, 5), (35758, 5), (28101, 5), (32753, 5), (23537, 5), (95011, 5), (94539, 5), (8142, 4), (92335, 5), (37129, 5), (42839, 5), (61669, 5), (85596, 5), (10962, 5), (18506, 5), (58524, 5), (78241, 5), (7561, 4), (3592, 4), (35549, 5), (63361, 5), (60123, 5), (49244, 5), (18366, 5), (60087, 5), (73992, 5), (65619, 5), (42916, 5), (59827, 5), (53549, 5), (4792, 4), (10033, 5), (87563, 5), (35499, 5), (36670, 5), (80833, 5), (9507, 4), (92034, 5), (3722, 4), (88033, 5), (12742, 5), (21528, 5), (98531, 5), (20290, 5), (36719, 5), (98256, 5), (5976, 4), (6253, 4), (30245, 5), (73493, 5), (16107, 5), (69495, 5), (44691, 5), (66719, 5), (23739, 5), (33003, 5), (41733, 5), (5191, 4), (1044, 4), (28630, 5), (16189, 5), (36443, 5), (42430, 5), (95063, 5), (51626, 5), (36086, 5), (67102, 5), (27255, 5), (91349, 5), (84463, 5), (41378, 5), (40039, 5), (229, 3), (5984, 4), (98646, 5), (24027, 5), (6152, 4), (40767, 5), (87659, 5), (95026, 5), (17474, 5), (34206, 5), (74888, 5), (80330, 5), (16391, 5), (61640, 5), (50329, 5), (68130, 5), (35983, 5), (65964, 5), (13320, 5), (74739, 5), (26124, 5), (74525, 5), (64275, 5), (40159, 5), (96166, 5), (46513, 5), (84, 2), (69541, 5), (72176, 5), (95667, 5), (46363, 5), (60723, 5), (69116, 5), (29071, 5), (41503, 5), (12886, 5), (16851, 5), (88706, 5), (70690, 5), (28560, 5), (66387, 5), (20741, 5), (40975, 5), (81592, 5), (90193, 5), (82811, 5), (72292, 5), (60854, 5), (33645, 5), (41979, 5), (21610, 5), (27463, 5), (48092, 5), (52250, 5), (77899, 5), (70059, 5), (32815, 5), (93756, 5), (72469, 5), (66991, 5), (72850, 5), (58201, 5), (97553, 5), (64905, 5), (98968, 5), (31459, 5), (72424, 5), (73021, 5), (88531, 5), (5528, 4), (90577, 5), (12571, 5), (56544, 5), (23102, 5), (11387, 5), (57445, 5), (26561, 5), (34876, 5), (66412, 5), (16995, 5), (25966, 5), (9225, 4), (41811, 5), (21694, 5), (90473, 5), (47596, 5), (56039, 5), (63492, 5), (98707, 5), (74592, 5), (98025, 5), (22645, 5), (48259, 5), (46207, 5), (23560, 5), (66537, 5), (60330, 5), (56964, 5), (37411, 5), (9135, 4), (56117, 5), (19524, 5), (24129, 5), (13542, 5), (64299, 5), (41817, 5), (96239, 5), (51597, 5), (85236, 5), (12739, 5), (53943, 5), (32975, 5), (77574, 5), (54533, 5), (37938, 5), (2647, 4), (73195, 5), (70177, 5), (90190, 5), (41369, 5), (30879, 5), (85618, 5), (61754, 5), (82800, 5), (13653, 5), (91520, 5), (75382, 5), (76219, 5), (95121, 5), (48986, 5), (15686, 5), (82702, 5), (11774, 5), (43822, 5), (2877, 4), (20048, 5), (75215, 5), (96892, 5), (91186, 5), (1285, 4), (98594, 5), (19161, 5), (73499, 5), (78332, 5), (49343, 5), (5767, 4), (99452, 5), (50306, 5), (21108, 5), (58625, 5), (78131, 5), (33906, 5), (33691, 5), (37848, 5), (3821, 4), (26711, 5), (73501, 5), (47173, 5), (99527, 5), (32572, 5), (10221, 5), (8606, 4), (91803, 5), (79276, 5), (30752, 5), (94164, 5), (11437, 5), (52132, 5), (90436, 5), (1321, 4), (35215, 5), (26457, 5), (55252, 5), (41245, 5), (20486, 5), (49985, 5), (59224, 5), (39893, 5), (5698, 4), (62030, 5), (5789, 4), (47854, 5), (4450, 4), (28472, 5), (71682, 5), (24232, 5), (93584, 5), (84996, 5), (41141, 5), (82990, 5), (50195, 5), (75444, 5), (14384, 5), (97067, 5), (6267, 4), (91322, 5), (98179, 5), (17586, 5), (46284, 5), (72711, 5), (61467, 5), (37819, 5), (8031, 4), (64369, 5), (70349, 5), (35222, 5), (65681, 5), (66014, 5), (31646, 5), (50013, 5), (60894, 5), (73154, 5), (9571, 4), (61541, 5), (2667, 4), (18257, 5), (11410, 5), (11619, 5), (16823, 5), (34363, 5), (77415, 5), (91156, 5), (92083, 5), (18625, 5), (21922, 5), (85098, 5), (68829, 5), (74001, 5), (64367, 5), (9439, 4), (78234, 5), (30713, 5), (69539, 5), (19988, 5), (66089, 5), (91116, 5), (14580, 5), (87021, 5), (53722, 5), (69686, 5), (14547, 5), (58002, 5), (3838, 4), (86412, 5), (68162, 5), (75012, 5), (98412, 5), (64990, 5), (28172, 5), (97063, 5), (17644, 5), (62393, 5), (81958, 5), (9654, 4), (79703, 5), (47380, 5), (98810, 5), (99262, 5), (67817, 5), (330, 3), (49240, 5), (92824, 5), (17050, 5), (48172, 5), (37565, 5), (83388, 5), (19779, 5), (35227, 5), (39672, 5), (79591, 5), (85280, 5), (83299, 5), (62022, 5), (57923, 5), (58745, 5), (42168, 5), (25017, 5), (86381, 5), (39964, 5), (93213, 5), (22038, 5), (87692, 5), (78853, 5), (55346, 5), (81894, 5), (74389, 5), (23640, 5), (69755, 5), (71354, 5), (42914, 5), (34606, 5), (52293, 5), (92384, 5), (96354, 5), (53798, 5), (78725, 5), (13557, 5), (70198, 5), (96332, 5), (60582, 5), (20989, 5), (15571, 5), (77561, 5), (80129, 5), (74037, 5), (71204, 5), (6943, 4), (38427, 5), (54176, 5), (24962, 5), (25854, 5), (34276, 5), (15563, 5), (84190, 5), (67962, 5), (37075, 5), (96942, 5), (81737, 5), (29207, 5), (85239, 5), (11910, 5), (55474, 5), (33189, 5), (32843, 5), (48447, 5), (52258, 5), (87746, 5), (57947, 5), (10563, 5), (20454, 5), (81636, 5), (74688, 5), (47158, 5), (85680, 5), (95155, 5), (42959, 5), (73762, 5), (65149, 5), (74952, 5), (95437, 5), (89477, 5), (62712, 5), (44313, 5), (18778, 5), (39611, 5), (39701, 5), (12031, 5), (53387, 5), (44328, 5), (66880, 5), (15984, 5), (43014, 5), (69629, 5), (21195, 5), (29157, 5), (79129, 5), (33358, 5), (69171, 5), (28475, 5), (60378, 5), (61466, 5), (15495, 5), (89372, 5), (23385, 5), (27538, 5), (50433, 5), (25299, 5), (26083, 5), (95623, 5), (69743, 5), (27855, 5), (12266, 5), (25822, 5), (33190, 5), (19177, 5), (80701, 5), (62123, 5), (7660, 4), (48272, 5), (2096, 4), (70111, 5), (34235, 5), (7353, 4), (25957, 5), (72571, 5), (13210, 5), (29039, 5), (63276, 5), (1797, 4), (27266, 5), (55010, 5), (83468, 5), (65096, 5), (94066, 5), (73537, 5), (29304, 5), (9699, 4), (47950, 5), (42408, 5), (22013, 5), (5121, 4), (19824, 5), (53450, 5), (92564, 5), (83196, 5), (42459, 5), (49603, 5), (33883, 5), (60455, 5), (75597, 5), (78157, 5), (11533, 5), (56770, 5), (1649, 4), (29052, 5), (85818, 5), (34709, 5), (69562, 5), (30267, 5), (594, 3), (86140, 5), (72688, 5), (63266, 5), (3792, 4), (70215, 5), (22958, 5), (9898, 4), (57071, 5), (12575, 5), (34537, 5), (48794, 5), (31292, 5), (41151, 5), (31175, 5), (44098, 5), (91124, 5), (47820, 5), (46408, 5), (18047, 5), (43715, 5), (89760, 5), (30218, 5), (77549, 5), (12029, 5), (2394, 4), (45373, 5), (75311, 5), (80767, 5), (64031, 5), (81489, 5), (95472, 5), (87648, 5), (74557, 5), (95800, 5), (24583, 5), (39409, 5), (23382, 5), (12119, 5), (76758, 5), (95007, 5), (52413, 5), (74886, 5), (46618, 5), (71938, 5), (53641, 5), (89600, 5), (41522, 5), (97755, 5), (27201, 5), (74325, 5), (89301, 5), (17227, 5), (93871, 5), (6242, 4), (21374, 5), (4166, 4), (23355, 5), (49428, 5), (68558, 5), (54687, 5), (46515, 5), (91188, 5), (97998, 5), (18703, 5), (45927, 5), (1929, 4), (52094, 5), (66221, 5), (76680, 5), (13924, 5), (5829, 4), (25854, 5), (77355, 5), (52920, 5), (16201, 5), (79855, 5), (68869, 5), (69328, 5), (18963, 5), (48215, 5), (43871, 5), (56401, 5), (3649, 4), (99764, 5), (98387, 5), (7610, 4), (59199, 5), (7067, 4), (1222, 4), (76431, 5), (19720, 5), (19039, 5), (48725, 5), (42172, 5), (61268, 5), (51813, 5), (81630, 5), (37543, 5), (35212, 5), (18175, 5), (52339, 5), (37539, 5), (43697, 5), (78306, 5), (82200, 5), (96716, 5), (68178, 5), (26693, 5), (41253, 5), (71146, 5), (88228, 5), (19359, 5), (74681, 5), (64677, 5), (39256, 5), (67988, 5), (35656, 5), (89927, 5), (53099, 5), (74911, 5), (29485, 5), (80153, 5), (22110, 5), (71258, 5), (48041, 5), (30423, 5), (52301, 5), (31828, 5), (23269, 5), (79065, 5), (50920, 5), (99442, 5), (92418, 5), (86641, 5), (36685, 5), (73721, 5), (89389, 5), (93071, 5), (53533, 5), (1178, 4), (90633, 5), (15324, 5), (46482, 5), (9274, 4), (12143, 5), (85811, 5), (31368, 5), (50532, 5), (8528, 4), (65200, 5), (15270, 5), (97364, 5), (2466, 4), (32936, 5), (83775, 5), (66426, 5), (47048, 5), (74662, 5), (34753, 5), (82238, 5), (82579, 5), (70805, 5), (96912, 5), (55577, 5), (21611, 5), (39424, 5), (17989, 5), (64850, 5), (90542, 5), (43995, 5), (28031, 5), (13641, 5), (12695, 5), (83466, 5), (94844, 5), (89176, 5), (65775, 5), (45249, 5), (57492, 5), (59669, 5), (99437, 5), (49610, 5), (33656, 5), (84356, 5), (5720, 4), (81131, 5), (13740, 5), (77461, 5), (62313, 5), (75335, 5), (14691, 5), (11960, 5), (72555, 5), (80807, 5), (31320, 5), (83540, 5), (25191, 5), (62546, 5), (46935, 5), (36399, 5), (19250, 5), (33538, 5), (91802, 5), (20684, 5), (26622, 5), (60672, 5), (7088, 4), (22146, 5), (12546, 5), (32357, 5), (34485, 5), (62178, 5), (81211, 5), (84951, 5), (30269, 5), (43996, 5), (27966, 5), (53705, 5), (42543, 5), (54733, 5), (15028, 5), (57648, 5), (52407, 5), (80358, 5), (2269, 4), (520, 3), (67375, 5), (61699, 5), (3889, 4), (46631, 5), (34975, 5), (94811, 5), (68388, 5), (61449, 5), (30564, 5), (13292, 5)]
0.00025940s ~ len_log10 -> [(33732, 5), (18135, 5), (32243, 5), (81089, 5), (68647, 5), (2366, 4), (9349, 4), (85333, 5), (95218, 5), (47511, 5), (21534, 5), (38933, 5), (5711, 4), (27806, 5), (88600, 5), (2308, 4), (39123, 5), (48523, 5), (93044, 5), (4050, 4), (76932, 5), (91507, 5), (52110, 5), (25791, 5), (17215, 5), (33635, 5), (89989, 5), (87507, 5), (49000, 5), (97053, 5), (68087, 5), (12855, 5), (25960, 5), (97564, 5), (45335, 5), (44133, 5), (90997, 5), (13684, 5), (54400, 5), (56286, 5), (29751, 5), (10289, 5), (84436, 5), (31951, 5), (50777, 5), (60118, 5), (31703, 5), (18884, 5), (63052, 5), (47937, 5), (83097, 5), (59896, 5), (44730, 5), (22449, 5), (20891, 5), (71368, 5), (54919, 5), (23886, 5), (55558, 5), (44528, 5), (62674, 5), (94921, 5), (39387, 5), (69670, 5), (66154, 5), (76111, 5), (58857, 5), (88723, 5), (55477, 5), (7517, 4), (45595, 5), (74720, 5), (79680, 5), (21093, 5), (8605, 4), (13044, 5), (42621, 5), (82595, 5), (96530, 5), (28338, 5), (57982, 5), (7373, 4), (38178, 5), (37716, 5), (8015, 4), (59328, 5), (91514, 5), (73889, 5), (93033, 5), (54966, 5), (33410, 5), (27935, 5), (87239, 5), (6753, 4), (39603, 5), (75317, 5), (28759, 5), (9421, 4), (63006, 5), (35473, 5), (17184, 5), (59407, 5), (67305, 5), (58668, 5), (18594, 5), (5123, 4), (94647, 5), (5491, 4), (68561, 5), (98227, 5), (46681, 5), (8907, 4), (22773, 5), (30076, 5), (43238, 5), (26361, 5), (76034, 5), (58518, 5), (3714, 4), (84638, 5), (75132, 5), (54162, 5), (54717, 5), (54896, 5), (66851, 5), (40749, 5), (88585, 5), (25145, 5), (38041, 5), (67580, 5), (23076, 5), (64273, 5), (3905, 4), (29163, 5), (44941, 5), (61151, 5), (38566, 5), (44856, 5), (66443, 5), (18749, 5), (96994, 5), (43194, 5), (56767, 5), (16246, 5), (99777, 5), (47858, 5), (52697, 5), (40725, 5), (62351, 5), (52175, 5), (12503, 5), (55569, 5), (67225, 5), (77487, 5), (99629, 5), (5759, 4), (35247, 5), (81015, 5), (54869, 5), (9515, 4), (7231, 4), (9304, 4), (32826, 5), (54802, 5), (71787, 5), (13229, 5), (11087, 5), (65416, 5), (70339, 5), (89937, 5), (63858, 5), (23233, 5), (92283, 5), (35758, 5), (28101, 5), (32753, 5), (23537, 5), (95011, 5), (94539, 5), (8142, 4), (92335, 5), (37129, 5), (42839, 5), (61669, 5), (85596, 5), (10962, 5), (18506, 5), (58524, 5), (78241, 5), (7561, 4), (3592, 4), (35549, 5), (63361, 5), (60123, 5), (49244, 5), (18366, 5), (60087, 5), (73992, 5), (65619, 5), (42916, 5), (59827, 5), (53549, 5), (4792, 4), (10033, 5), (87563, 5), (35499, 5), (36670, 5), (80833, 5), (9507, 4), (92034, 5), (3722, 4), (88033, 5), (12742, 5), (21528, 5), (98531, 5), (20290, 5), (36719, 5), (98256, 5), (5976, 4), (6253, 4), (30245, 5), (73493, 5), (16107, 5), (69495, 5), (44691, 5), (66719, 5), (23739, 5), (33003, 5), (41733, 5), (5191, 4), (1044, 4), (28630, 5), (16189, 5), (36443, 5), (42430, 5), (95063, 5), (51626, 5), (36086, 5), (67102, 5), (27255, 5), (91349, 5), (84463, 5), (41378, 5), (40039, 5), (229, 3), (5984, 4), (98646, 5), (24027, 5), (6152, 4), (40767, 5), 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(70215, 5), (22958, 5), (9898, 4), (57071, 5), (12575, 5), (34537, 5), (48794, 5), (31292, 5), (41151, 5), (31175, 5), (44098, 5), (91124, 5), (47820, 5), (46408, 5), (18047, 5), (43715, 5), (89760, 5), (30218, 5), (77549, 5), (12029, 5), (2394, 4), (45373, 5), (75311, 5), (80767, 5), (64031, 5), (81489, 5), (95472, 5), (87648, 5), (74557, 5), (95800, 5), (24583, 5), (39409, 5), (23382, 5), (12119, 5), (76758, 5), (95007, 5), (52413, 5), (74886, 5), (46618, 5), (71938, 5), (53641, 5), (89600, 5), (41522, 5), (97755, 5), (27201, 5), (74325, 5), (89301, 5), (17227, 5), (93871, 5), (6242, 4), (21374, 5), (4166, 4), (23355, 5), (49428, 5), (68558, 5), (54687, 5), (46515, 5), (91188, 5), (97998, 5), (18703, 5), (45927, 5), (1929, 4), (52094, 5), (66221, 5), (76680, 5), (13924, 5), (5829, 4), (25854, 5), (77355, 5), (52920, 5), (16201, 5), (79855, 5), (68869, 5), (69328, 5), (18963, 5), (48215, 5), (43871, 5), (56401, 5), (3649, 4), (99764, 5), (98387, 5), (7610, 4), (59199, 5), (7067, 4), (1222, 4), (76431, 5), (19720, 5), (19039, 5), (48725, 5), (42172, 5), (61268, 5), (51813, 5), (81630, 5), (37543, 5), (35212, 5), (18175, 5), (52339, 5), (37539, 5), (43697, 5), (78306, 5), (82200, 5), (96716, 5), (68178, 5), (26693, 5), (41253, 5), (71146, 5), (88228, 5), (19359, 5), (74681, 5), (64677, 5), (39256, 5), (67988, 5), (35656, 5), (89927, 5), (53099, 5), (74911, 5), (29485, 5), (80153, 5), (22110, 5), (71258, 5), (48041, 5), (30423, 5), (52301, 5), (31828, 5), (23269, 5), (79065, 5), (50920, 5), (99442, 5), (92418, 5), (86641, 5), (36685, 5), (73721, 5), (89389, 5), (93071, 5), (53533, 5), (1178, 4), (90633, 5), (15324, 5), (46482, 5), (9274, 4), (12143, 5), (85811, 5), (31368, 5), (50532, 5), (8528, 4), (65200, 5), (15270, 5), (97364, 5), (2466, 4), (32936, 5), (83775, 5), (66426, 5), (47048, 5), (74662, 5), (34753, 5), (82238, 5), (82579, 5), (70805, 5), (96912, 5), (55577, 5), (21611, 5), (39424, 5), (17989, 5), (64850, 5), (90542, 5), (43995, 5), (28031, 5), (13641, 5), (12695, 5), (83466, 5), (94844, 5), (89176, 5), (65775, 5), (45249, 5), (57492, 5), (59669, 5), (99437, 5), (49610, 5), (33656, 5), (84356, 5), (5720, 4), (81131, 5), (13740, 5), (77461, 5), (62313, 5), (75335, 5), (14691, 5), (11960, 5), (72555, 5), (80807, 5), (31320, 5), (83540, 5), (25191, 5), (62546, 5), (46935, 5), (36399, 5), (19250, 5), (33538, 5), (91802, 5), (20684, 5), (26622, 5), (60672, 5), (7088, 4), (22146, 5), (12546, 5), (32357, 5), (34485, 5), (62178, 5), (81211, 5), (84951, 5), (30269, 5), (43996, 5), (27966, 5), (53705, 5), (42543, 5), (54733, 5), (15028, 5), (57648, 5), (52407, 5), (80358, 5), (2269, 4), (520, 3), (67375, 5), (61699, 5), (3889, 4), (46631, 5), (34975, 5), (94811, 5), (68388, 5), (61449, 5), (30564, 5), (13292, 5)]
0.00042152s ~ len_while -> [(33732, 5), (18135, 5), (32243, 5), (81089, 5), (68647, 5), (2366, 4), (9349, 4), (85333, 5), (95218, 5), (47511, 5), (21534, 5), (38933, 5), (5711, 4), (27806, 5), (88600, 5), (2308, 4), (39123, 5), (48523, 5), (93044, 5), (4050, 4), (76932, 5), (91507, 5), (52110, 5), (25791, 5), (17215, 5), (33635, 5), (89989, 5), (87507, 5), (49000, 5), (97053, 5), (68087, 5), (12855, 5), (25960, 5), (97564, 5), (45335, 5), (44133, 5), (90997, 5), (13684, 5), (54400, 5), (56286, 5), (29751, 5), (10289, 5), (84436, 5), (31951, 5), (50777, 5), (60118, 5), (31703, 5), (18884, 5), (63052, 5), (47937, 5), (83097, 5), (59896, 5), (44730, 5), (22449, 5), (20891, 5), (71368, 5), (54919, 5), (23886, 5), (55558, 5), (44528, 5), (62674, 5), (94921, 5), (39387, 5), (69670, 5), (66154, 5), (76111, 5), (58857, 5), (88723, 5), (55477, 5), (7517, 4), (45595, 5), (74720, 5), (79680, 5), (21093, 5), (8605, 4), (13044, 5), (42621, 5), (82595, 5), (96530, 5), (28338, 5), (57982, 5), (7373, 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Process finished with exit code 0

number-digits.py

import math, random, time

operators = []

def operator(func):
    operators.append(func)
    return func

@operator
def len_str(n):
    return len(str(n))

@operator
def len_log10(n):
    return math.floor(math.log10(n))+1

@operator
def len_if_else(n):
    if n < 10: return 1
    elif n < 100: return 2
    elif n < 1000: return 3
    elif n < 10000: return 4
    elif n < 100000: return 5
    elif n < 1000000: return 6
    elif n < 10000000: return 7
    elif n < 100000000: return 8
    elif n < 1000000000: return 9
    elif n < 10000000000: return 10
    elif n < 100000000000: return 11
    elif n < 1000000000000: return 12
    elif n < 10000000000000: return 13
    elif n < 100000000000000: return 14
    elif n < 1000000000000000: return 15
    elif n < 10000000000000000: return 16
    elif n < 100000000000000000: return 17
    elif n < 1000000000000000000: return 18
    elif n < 10000000000000000000: return 19
    elif n < 100000000000000000000: return 20
    return -1

@operator
def len_while(n):
    i=0
    while n > 1:
        n/=10
        i+=1
    return i

def via(operator, values):
    t0 = time.time()
    res = [(n, operator(n)) for n in values]
    elapsed = time.time() - t0
    print("{elapsed:0.8f}s ~ {operator.__name__} -> {res}".format(**locals()))
    return res

if __name__ == '__main__':

    values = [random.randint(0, 100000) for i in range(900)]
    for op in operators: via(op, values)