{ "best_metric": null, "best_model_checkpoint": null, "epoch": 1.9850746268656716, "eval_steps": 100, "global_step": 132, "is_hyper_param_search": false, "is_local_process_zero": true, "is_world_process_zero": true, "log_history": [ { "clip_ratio": 0.0, "completion_length": 468.4821586608887, "epoch": 0.014925373134328358, "grad_norm": 0.6388546824455261, "learning_rate": 7.142857142857142e-08, "loss": 0.0034, "num_tokens": 546936.0, "reward": 0.27008930034935474, "reward_std": 0.3894983232021332, "rewards/accuracy_reward": 0.20535713713616133, "rewards/format_reward": 0.06473214365541935, "step": 1 }, { "clip_ratio": 0.0, "completion_length": 471.2355079650879, "epoch": 0.029850746268656716, "grad_norm": 0.4866682291030884, "learning_rate": 1.4285714285714285e-07, "loss": 0.0046, "num_tokens": 1100635.0, "reward": 0.29575894586741924, "reward_std": 0.38195205107331276, "rewards/accuracy_reward": 0.22991071362048388, "rewards/format_reward": 0.06584821548312902, "step": 2 }, { "clip_ratio": 0.0, "completion_length": 501.1919822692871, "epoch": 0.04477611940298507, "grad_norm": 0.5236084461212158, "learning_rate": 2.1428571428571426e-07, "loss": -0.0034, "num_tokens": 1696607.0, "reward": 0.2700893022119999, "reward_std": 0.40184900537133217, "rewards/accuracy_reward": 0.20982142630964518, "rewards/format_reward": 0.06026785750873387, "step": 3 }, { "clip_ratio": 0.0, "completion_length": 527.3426513671875, "epoch": 0.05970149253731343, "grad_norm": 0.4246870279312134, "learning_rate": 2.857142857142857e-07, "loss": -0.0055, "num_tokens": 2298618.0, "reward": 0.2533482275903225, "reward_std": 0.3664662688970566, "rewards/accuracy_reward": 0.18415178544819355, "rewards/format_reward": 0.06919642980210483, "step": 4 }, { "clip_ratio": 0.0, "completion_length": 489.1272506713867, "epoch": 0.07462686567164178, "grad_norm": 0.5821424126625061, "learning_rate": 3.5714285714285716e-07, "loss": -0.0015, "num_tokens": 2874380.0, "reward": 0.26339287497103214, "reward_std": 0.35569472424685955, "rewards/accuracy_reward": 0.18080356810241938, "rewards/format_reward": 0.08258928544819355, "step": 5 }, { "clip_ratio": 0.0, "completion_length": 464.8448905944824, "epoch": 0.08955223880597014, "grad_norm": 0.933703601360321, "learning_rate": 4.285714285714285e-07, "loss": 0.0112, "num_tokens": 3415369.0, "reward": 0.27678573317825794, "reward_std": 0.3908194899559021, "rewards/accuracy_reward": 0.19531249813735485, "rewards/format_reward": 0.0814732143189758, "step": 6 }, { "clip_ratio": 0.0, "completion_length": 476.73328399658203, "epoch": 0.1044776119402985, "grad_norm": 0.5595778226852417, "learning_rate": 5e-07, "loss": 0.008, "num_tokens": 3971570.0, "reward": 0.3303571604192257, "reward_std": 0.4130873791873455, "rewards/accuracy_reward": 0.22879464458674192, "rewards/format_reward": 0.10156250093132257, "step": 7 }, { "clip_ratio": 0.0, "completion_length": 485.8995780944824, "epoch": 0.11940298507462686, "grad_norm": 0.9490161538124084, "learning_rate": 5.714285714285714e-07, "loss": 0.0037, "num_tokens": 4524584.0, "reward": 0.31919644586741924, "reward_std": 0.40963855013251305, "rewards/accuracy_reward": 0.2198660746216774, "rewards/format_reward": 0.09933035681024194, "step": 8 }, { "clip_ratio": 0.0, "completion_length": 483.68640518188477, "epoch": 0.13432835820895522, "grad_norm": 0.6994246244430542, "learning_rate": 6.428571428571429e-07, "loss": 0.0361, "num_tokens": 5083303.0, "reward": 0.3627232275903225, "reward_std": 0.42251865938305855, "rewards/accuracy_reward": 0.22321428172290325, "rewards/format_reward": 0.13950892817229033, "step": 9 }, { "clip_ratio": 0.0, "completion_length": 436.486629486084, "epoch": 0.14925373134328357, "grad_norm": 5.183073043823242, "learning_rate": 7.142857142857143e-07, "loss": -0.0042, "num_tokens": 5599035.0, "reward": 0.5290178842842579, "reward_std": 0.5277893580496311, "rewards/accuracy_reward": 0.25669643096625805, "rewards/format_reward": 0.2723214216530323, "step": 10 }, { "clip_ratio": 0.0, "completion_length": 524.1194496154785, "epoch": 0.16417910447761194, "grad_norm": 1.4668474197387695, "learning_rate": 7.857142857142856e-07, "loss": 0.0147, "num_tokens": 6198702.0, "reward": 0.4129464440047741, "reward_std": 0.4812769778072834, "rewards/accuracy_reward": 0.19642857182770967, "rewards/format_reward": 0.2165178582072258, "step": 11 }, { "clip_ratio": 0.0, "completion_length": 487.21877670288086, "epoch": 0.1791044776119403, "grad_norm": 0.7429012060165405, "learning_rate": 8.57142857142857e-07, "loss": -0.0078, "num_tokens": 6765330.0, "reward": 0.5502232387661934, "reward_std": 0.5404816046357155, "rewards/accuracy_reward": 0.2343749962747097, "rewards/format_reward": 0.31584821082651615, "step": 12 }, { "clip_ratio": 0.0, "completion_length": 485.33484268188477, "epoch": 0.19402985074626866, "grad_norm": 1.6211804151535034, "learning_rate": 9.285714285714285e-07, "loss": 0.0066, "num_tokens": 7323374.0, "reward": 0.8258928880095482, "reward_std": 0.5914651453495026, "rewards/accuracy_reward": 0.24665178544819355, "rewards/format_reward": 0.5792410671710968, "step": 13 }, { "clip_ratio": 0.0, "completion_length": 431.96653747558594, "epoch": 0.208955223880597, "grad_norm": 2.787757158279419, "learning_rate": 1e-06, "loss": 0.0041, "num_tokens": 7834288.0, "reward": 0.929687537252903, "reward_std": 0.5431078746914864, "rewards/accuracy_reward": 0.2343749962747097, "rewards/format_reward": 0.6953124925494194, "step": 14 }, { "clip_ratio": 0.0, "completion_length": 429.68305587768555, "epoch": 0.22388059701492538, "grad_norm": 3.2551932334899902, "learning_rate": 9.998286624877785e-07, "loss": 0.0255, "num_tokens": 8333788.0, "reward": 0.946428619325161, "reward_std": 0.5455193668603897, "rewards/accuracy_reward": 0.26674107275903225, "rewards/format_reward": 0.6796875074505806, "step": 15 }, { "clip_ratio": 0.0, "completion_length": 478.9319381713867, "epoch": 0.23880597014925373, "grad_norm": 0.6753084659576416, "learning_rate": 9.99314767377287e-07, "loss": 0.0273, "num_tokens": 8886279.0, "reward": 1.0000000447034836, "reward_std": 0.5525597706437111, "rewards/accuracy_reward": 0.2723214328289032, "rewards/format_reward": 0.7276785671710968, "step": 16 }, { "clip_ratio": 0.0, "completion_length": 436.1384086608887, "epoch": 0.2537313432835821, "grad_norm": 0.4711945354938507, "learning_rate": 9.98458666866564e-07, "loss": 0.0041, "num_tokens": 9426795.0, "reward": 1.160714328289032, "reward_std": 0.49247992783784866, "rewards/accuracy_reward": 0.31026785634458065, "rewards/format_reward": 0.8504464328289032, "step": 17 }, { "clip_ratio": 0.0, "completion_length": 490.244441986084, "epoch": 0.26865671641791045, "grad_norm": 6.663273811340332, "learning_rate": 9.972609476841365e-07, "loss": 0.056, "num_tokens": 10002238.0, "reward": 1.209821492433548, "reward_std": 0.480739738792181, "rewards/accuracy_reward": 0.32700892724096775, "rewards/format_reward": 0.8828125, "step": 18 }, { "clip_ratio": 0.0, "completion_length": 518.3794822692871, "epoch": 0.2835820895522388, "grad_norm": 0.7554452419281006, "learning_rate": 9.957224306869053e-07, "loss": 0.0419, "num_tokens": 10591498.0, "reward": 1.2845982760190964, "reward_std": 0.48824567720294, "rewards/accuracy_reward": 0.3928571455180645, "rewards/format_reward": 0.8917410671710968, "step": 19 }, { "clip_ratio": 0.0, "completion_length": 525.5770301818848, "epoch": 0.29850746268656714, "grad_norm": 28.792333602905273, "learning_rate": 9.938441702975689e-07, "loss": 0.042, "num_tokens": 11189695.0, "reward": 1.3225446790456772, "reward_std": 0.5205758474767208, "rewards/accuracy_reward": 0.4386160671710968, "rewards/format_reward": 0.8839285671710968, "step": 20 }, { "clip_ratio": 0.0, "completion_length": 533.4453353881836, "epoch": 0.31343283582089554, "grad_norm": 59.140052795410156, "learning_rate": 9.916274537819773e-07, "loss": 0.0209, "num_tokens": 11792134.0, "reward": 1.3314732909202576, "reward_std": 0.4882611520588398, "rewards/accuracy_reward": 0.4285714253783226, "rewards/format_reward": 0.9029017984867096, "step": 21 }, { "clip_ratio": 0.0, "completion_length": 499.65515518188477, "epoch": 0.3283582089552239, "grad_norm": 0.5003321766853333, "learning_rate": 9.890738003669027e-07, "loss": 0.0474, "num_tokens": 12369289.0, "reward": 1.3895089775323868, "reward_std": 0.44778596609830856, "rewards/accuracy_reward": 0.4687499962747097, "rewards/format_reward": 0.920758917927742, "step": 22 }, { "clip_ratio": 0.0, "completion_length": 485.9509162902832, "epoch": 0.34328358208955223, "grad_norm": 0.4391040802001953, "learning_rate": 9.861849601988383e-07, "loss": 0.0479, "num_tokens": 12935277.0, "reward": 1.4073661267757416, "reward_std": 0.4340375326573849, "rewards/accuracy_reward": 0.4933035746216774, "rewards/format_reward": 0.9140625, "step": 23 }, { "clip_ratio": 0.0, "completion_length": 543.5480155944824, "epoch": 0.3582089552238806, "grad_norm": 0.24674437940120697, "learning_rate": 9.82962913144534e-07, "loss": 0.0413, "num_tokens": 13558416.0, "reward": 1.4810268431901932, "reward_std": 0.44437726214528084, "rewards/accuracy_reward": 0.5558035634458065, "rewards/format_reward": 0.9252232164144516, "step": 24 }, { "clip_ratio": 0.0, "completion_length": 528.6674461364746, "epoch": 0.373134328358209, "grad_norm": 0.31784048676490784, "learning_rate": 9.794098674340966e-07, "loss": -0.004, "num_tokens": 14147262.0, "reward": 1.577008992433548, "reward_std": 0.41776228323578835, "rewards/accuracy_reward": 0.6395089216530323, "rewards/format_reward": 0.9375, "step": 25 }, { "clip_ratio": 0.0, "completion_length": 588.8694534301758, "epoch": 0.3880597014925373, "grad_norm": 0.24819239974021912, "learning_rate": 9.755282581475767e-07, "loss": 0.0552, "num_tokens": 14812489.0, "reward": 1.500000074505806, "reward_std": 0.40182342007756233, "rewards/accuracy_reward": 0.5624999962747097, "rewards/format_reward": 0.9375, "step": 26 }, { "clip_ratio": 0.0, "completion_length": 573.0602912902832, "epoch": 0.40298507462686567, "grad_norm": 0.22896583378314972, "learning_rate": 9.713207455460892e-07, "loss": 0.0109, "num_tokens": 15452639.0, "reward": 1.5904018729925156, "reward_std": 0.3602062352001667, "rewards/accuracy_reward": 0.6305803582072258, "rewards/format_reward": 0.9598214253783226, "step": 27 }, { "clip_ratio": 0.0, "completion_length": 571.6428909301758, "epoch": 0.417910447761194, "grad_norm": 0.19549427926540375, "learning_rate": 9.667902132486008e-07, "loss": 0.0429, "num_tokens": 16084223.0, "reward": 1.6183036714792252, "reward_std": 0.29753560572862625, "rewards/accuracy_reward": 0.6573660783469677, "rewards/format_reward": 0.9609375074505806, "step": 28 }, { "clip_ratio": 0.0, "completion_length": 645.9185562133789, "epoch": 0.43283582089552236, "grad_norm": 0.16904062032699585, "learning_rate": 9.619397662556433e-07, "loss": 0.0436, "num_tokens": 16802206.0, "reward": 1.6104911267757416, "reward_std": 0.2882387526333332, "rewards/accuracy_reward": 0.6595982238650322, "rewards/format_reward": 0.9508928656578064, "step": 29 }, { "clip_ratio": 0.0, "completion_length": 622.2879753112793, "epoch": 0.44776119402985076, "grad_norm": 0.16023597121238708, "learning_rate": 9.567727288213004e-07, "loss": 0.0488, "num_tokens": 17482496.0, "reward": 1.696428656578064, "reward_std": 0.28165779635310173, "rewards/accuracy_reward": 0.7321428507566452, "rewards/format_reward": 0.9642857164144516, "step": 30 }, { "clip_ratio": 0.0, "completion_length": 603.2477951049805, "epoch": 0.4626865671641791, "grad_norm": 0.11776868999004364, "learning_rate": 9.512926421749303e-07, "loss": 0.0302, "num_tokens": 18146798.0, "reward": 1.670758992433548, "reward_std": 0.20003954134881496, "rewards/accuracy_reward": 0.6875, "rewards/format_reward": 0.983258917927742, "step": 31 }, { "clip_ratio": 0.0, "completion_length": 586.9218940734863, "epoch": 0.47761194029850745, "grad_norm": 0.12123113870620728, "learning_rate": 9.455032620941839e-07, "loss": 0.0393, "num_tokens": 18801416.0, "reward": 1.7265625596046448, "reward_std": 0.16540441382676363, "rewards/accuracy_reward": 0.7388392835855484, "rewards/format_reward": 0.987723208963871, "step": 32 }, { "clip_ratio": 0.0, "completion_length": 655.9687728881836, "epoch": 0.4925373134328358, "grad_norm": 0.1264243721961975, "learning_rate": 9.394085563309826e-07, "loss": 0.0452, "num_tokens": 19514676.0, "reward": 1.6506696939468384, "reward_std": 0.2404237724840641, "rewards/accuracy_reward": 0.6830357238650322, "rewards/format_reward": 0.967633917927742, "step": 33 }, { "clip_ratio": 0.0, "completion_length": 680.2611846923828, "epoch": 0.5074626865671642, "grad_norm": 0.13258805871009827, "learning_rate": 9.330127018922193e-07, "loss": 0.0434, "num_tokens": 20254622.0, "reward": 1.6941965073347092, "reward_std": 0.2184577826410532, "rewards/accuracy_reward": 0.7087053507566452, "rewards/format_reward": 0.9854910746216774, "step": 34 }, { "clip_ratio": 0.0, "completion_length": 630.7868690490723, "epoch": 0.5223880597014925, "grad_norm": 0.13021788001060486, "learning_rate": 9.26320082177046e-07, "loss": 0.0132, "num_tokens": 20959799.0, "reward": 1.6986608058214188, "reward_std": 0.19432559609413147, "rewards/accuracy_reward": 0.7154017835855484, "rewards/format_reward": 0.9832589253783226, "step": 35 }, { "clip_ratio": 0.0, "completion_length": 662.8973579406738, "epoch": 0.5373134328358209, "grad_norm": 0.11859282851219177, "learning_rate": 9.19335283972712e-07, "loss": 0.0487, "num_tokens": 21697291.0, "reward": 1.6863840073347092, "reward_std": 0.2162930192425847, "rewards/accuracy_reward": 0.7087053656578064, "rewards/format_reward": 0.9776785597205162, "step": 36 }, { "clip_ratio": 0.0, "completion_length": 615.2712287902832, "epoch": 0.5522388059701493, "grad_norm": 0.11509045958518982, "learning_rate": 9.120630943110077e-07, "loss": 0.0397, "num_tokens": 22375998.0, "reward": 1.7232143580913544, "reward_std": 0.17825941182672977, "rewards/accuracy_reward": 0.7310267761349678, "rewards/format_reward": 0.9921874925494194, "step": 37 }, { "clip_ratio": 0.0, "completion_length": 645.5435600280762, "epoch": 0.5671641791044776, "grad_norm": 0.11072342842817307, "learning_rate": 9.045084971874737e-07, "loss": 0.0259, "num_tokens": 23100189.0, "reward": 1.734375074505806, "reward_std": 0.1874879952520132, "rewards/accuracy_reward": 0.7477678582072258, "rewards/format_reward": 0.9866071417927742, "step": 38 }, { "clip_ratio": 0.0, "completion_length": 639.4375267028809, "epoch": 0.582089552238806, "grad_norm": 0.10572760552167892, "learning_rate": 8.966766701456176e-07, "loss": 0.0445, "num_tokens": 23799789.0, "reward": 1.686383992433548, "reward_std": 0.1749917520210147, "rewards/accuracy_reward": 0.7020089291036129, "rewards/format_reward": 0.984375, "step": 39 }, { "clip_ratio": 0.0, "completion_length": 715.3582916259766, "epoch": 0.5970149253731343, "grad_norm": 0.09404753893613815, "learning_rate": 8.885729807284854e-07, "loss": 0.0337, "num_tokens": 24564446.0, "reward": 1.6919643580913544, "reward_std": 0.19988763704895973, "rewards/accuracy_reward": 0.7109375, "rewards/format_reward": 0.9810267835855484, "step": 40 }, { "clip_ratio": 0.0, "completion_length": 637.3683166503906, "epoch": 0.6119402985074627, "grad_norm": 0.12231509387493134, "learning_rate": 8.802029828000155e-07, "loss": 0.029, "num_tokens": 25276136.0, "reward": 1.6841518431901932, "reward_std": 0.18472581543028355, "rewards/accuracy_reward": 0.6975446417927742, "rewards/format_reward": 0.9866071343421936, "step": 41 }, { "clip_ratio": 0.0, "completion_length": 605.458740234375, "epoch": 0.6268656716417911, "grad_norm": 0.10407140851020813, "learning_rate": 8.71572412738697e-07, "loss": 0.0281, "num_tokens": 25941107.0, "reward": 1.8348215073347092, "reward_std": 0.14506788924336433, "rewards/accuracy_reward": 0.8448660671710968, "rewards/format_reward": 0.9899553433060646, "step": 42 }, { "clip_ratio": 0.0, "completion_length": 625.060302734375, "epoch": 0.6417910447761194, "grad_norm": 0.11245384812355042, "learning_rate": 8.626871855061437e-07, "loss": 0.012, "num_tokens": 26636777.0, "reward": 1.7611607909202576, "reward_std": 0.14432393945753574, "rewards/accuracy_reward": 0.7667410671710968, "rewards/format_reward": 0.9944196343421936, "step": 43 }, { "clip_ratio": 0.0, "completion_length": 598.0089569091797, "epoch": 0.6567164179104478, "grad_norm": 0.125792995095253, "learning_rate": 8.535533905932737e-07, "loss": 0.0321, "num_tokens": 27299505.0, "reward": 1.7377233058214188, "reward_std": 0.15178925171494484, "rewards/accuracy_reward": 0.75, "rewards/format_reward": 0.9877232164144516, "step": 44 }, { "clip_ratio": 0.0, "completion_length": 610.6283721923828, "epoch": 0.6716417910447762, "grad_norm": 0.10002588480710983, "learning_rate": 8.441772878468769e-07, "loss": 0.0195, "num_tokens": 27972836.0, "reward": 1.7578125894069672, "reward_std": 0.14866859279572964, "rewards/accuracy_reward": 0.7656250074505806, "rewards/format_reward": 0.9921874925494194, "step": 45 }, { "clip_ratio": 0.0, "completion_length": 704.8728103637695, "epoch": 0.6865671641791045, "grad_norm": 0.10578148812055588, "learning_rate": 8.34565303179429e-07, "loss": 0.0408, "num_tokens": 28738194.0, "reward": 1.678571492433548, "reward_std": 0.21444039046764374, "rewards/accuracy_reward": 0.7020089328289032, "rewards/format_reward": 0.9765624925494194, "step": 46 }, { "clip_ratio": 0.0, "completion_length": 656.7991409301758, "epoch": 0.7014925373134329, "grad_norm": 0.1114787682890892, "learning_rate": 8.247240241650917e-07, "loss": 0.0164, "num_tokens": 29442742.0, "reward": 1.7611607909202576, "reward_std": 0.15375812584534287, "rewards/accuracy_reward": 0.770089291036129, "rewards/format_reward": 0.991071417927742, "step": 47 }, { "clip_ratio": 0.0, "completion_length": 653.5190048217773, "epoch": 0.7164179104477612, "grad_norm": 0.11586251854896545, "learning_rate": 8.146601955249187e-07, "loss": 0.0291, "num_tokens": 30155111.0, "reward": 1.7310268580913544, "reward_std": 0.18213129229843616, "rewards/accuracy_reward": 0.7477678507566452, "rewards/format_reward": 0.983258917927742, "step": 48 }, { "clip_ratio": 0.0, "completion_length": 666.7009201049805, "epoch": 0.7313432835820896, "grad_norm": 0.11568515747785568, "learning_rate": 8.043807145043603e-07, "loss": 0.0263, "num_tokens": 30888875.0, "reward": 1.7109375596046448, "reward_std": 0.21294444054365158, "rewards/accuracy_reward": 0.7293097600340843, "rewards/format_reward": 0.9888392835855484, "step": 49 }, { "clip_ratio": 0.0, "completion_length": 621.5681076049805, "epoch": 0.746268656716418, "grad_norm": 0.10673708468675613, "learning_rate": 7.938926261462365e-07, "loss": 0.0257, "num_tokens": 31583952.0, "reward": 1.7031250596046448, "reward_std": 0.16654676012694836, "rewards/accuracy_reward": 0.7098214253783226, "rewards/format_reward": 0.9933035671710968, "step": 50 }, { "clip_ratio": 0.0, "completion_length": 617.3259201049805, "epoch": 0.7611940298507462, "grad_norm": 0.12650178372859955, "learning_rate": 7.832031184624164e-07, "loss": 0.0406, "num_tokens": 32274860.0, "reward": 1.7377233058214188, "reward_std": 0.1876004207879305, "rewards/accuracy_reward": 0.75, "rewards/format_reward": 0.9877232015132904, "step": 51 }, { "clip_ratio": 0.0, "completion_length": 640.5714530944824, "epoch": 0.7761194029850746, "grad_norm": 0.10010657459497452, "learning_rate": 7.723195175075135e-07, "loss": 0.0247, "num_tokens": 32977460.0, "reward": 1.6852679401636124, "reward_std": 0.1428875606507063, "rewards/accuracy_reward": 0.7020089253783226, "rewards/format_reward": 0.983258917927742, "step": 52 }, { "clip_ratio": 0.0, "completion_length": 638.3036117553711, "epoch": 0.7910447761194029, "grad_norm": 0.1098380908370018, "learning_rate": 7.612492823579744e-07, "loss": 0.0303, "num_tokens": 33677052.0, "reward": 1.6975446939468384, "reward_std": 0.20845805294811726, "rewards/accuracy_reward": 0.7053571417927742, "rewards/format_reward": 0.9921874850988388, "step": 53 }, { "clip_ratio": 0.0, "completion_length": 597.6797256469727, "epoch": 0.8059701492537313, "grad_norm": 0.11101842671632767, "learning_rate": 7.5e-07, "loss": 0.0027, "num_tokens": 34347405.0, "reward": 1.7656250894069672, "reward_std": 0.15746967494487762, "rewards/accuracy_reward": 0.770089291036129, "rewards/format_reward": 0.995535708963871, "step": 54 }, { "clip_ratio": 0.0, "completion_length": 612.290210723877, "epoch": 0.8208955223880597, "grad_norm": 0.10212179273366928, "learning_rate": 7.385793801298042e-07, "loss": 0.0177, "num_tokens": 35035137.0, "reward": 1.756696492433548, "reward_std": 0.1636977717280388, "rewards/accuracy_reward": 0.7683722376823425, "rewards/format_reward": 0.995535708963871, "step": 55 }, { "clip_ratio": 0.0, "completion_length": 604.0111885070801, "epoch": 0.835820895522388, "grad_norm": 0.12705914676189423, "learning_rate": 7.269952498697734e-07, "loss": 0.0358, "num_tokens": 35707387.0, "reward": 1.6863840073347092, "reward_std": 0.1575933638960123, "rewards/accuracy_reward": 0.6908482164144516, "rewards/format_reward": 0.995535708963871, "step": 56 }, { "clip_ratio": 0.0, "completion_length": 594.408504486084, "epoch": 0.8507462686567164, "grad_norm": 0.11634799093008041, "learning_rate": 7.152555484041475e-07, "loss": 0.0244, "num_tokens": 36362977.0, "reward": 1.7946429550647736, "reward_std": 0.13385543506592512, "rewards/accuracy_reward": 0.7991071417927742, "rewards/format_reward": 0.995535708963871, "step": 57 }, { "clip_ratio": 0.0, "completion_length": 620.1696739196777, "epoch": 0.8656716417910447, "grad_norm": 0.15597358345985413, "learning_rate": 7.033683215379002e-07, "loss": 0.0285, "num_tokens": 37044617.0, "reward": 1.7154018878936768, "reward_std": 0.1510266363620758, "rewards/accuracy_reward": 0.7254464253783226, "rewards/format_reward": 0.9899553582072258, "step": 58 }, { "clip_ratio": 0.0, "completion_length": 622.7701187133789, "epoch": 0.8805970149253731, "grad_norm": 0.11789924651384354, "learning_rate": 6.913417161825449e-07, "loss": 0.0313, "num_tokens": 37728027.0, "reward": 1.7723215073347092, "reward_std": 0.1743272840976715, "rewards/accuracy_reward": 0.7823660746216774, "rewards/format_reward": 0.9899553433060646, "step": 59 }, { "clip_ratio": 0.0, "completion_length": 583.8102951049805, "epoch": 0.8955223880597015, "grad_norm": 0.1122424304485321, "learning_rate": 6.7918397477265e-07, "loss": 0.0096, "num_tokens": 38386153.0, "reward": 1.7511161416769028, "reward_std": 0.1599616724997759, "rewards/accuracy_reward": 0.7544642835855484, "rewards/format_reward": 0.9966517761349678, "step": 60 }, { "clip_ratio": 0.0, "completion_length": 622.9933395385742, "epoch": 0.9104477611940298, "grad_norm": 0.10783091187477112, "learning_rate": 6.669034296168854e-07, "loss": 0.0263, "num_tokens": 39086531.0, "reward": 1.7232143580913544, "reward_std": 0.1590939164161682, "rewards/accuracy_reward": 0.7354910671710968, "rewards/format_reward": 0.9877232164144516, "step": 61 }, { "clip_ratio": 0.0, "completion_length": 591.811408996582, "epoch": 0.9253731343283582, "grad_norm": 0.1123439371585846, "learning_rate": 6.545084971874736e-07, "loss": 0.0166, "num_tokens": 39742210.0, "reward": 1.8024554401636124, "reward_std": 0.14553169254213572, "rewards/accuracy_reward": 0.8069196417927742, "rewards/format_reward": 0.9955357015132904, "step": 62 }, { "clip_ratio": 0.0, "completion_length": 649.6227951049805, "epoch": 0.9402985074626866, "grad_norm": 0.1181529313325882, "learning_rate": 6.420076723519614e-07, "loss": 0.0333, "num_tokens": 40453784.0, "reward": 1.751116156578064, "reward_std": 0.19144438579678535, "rewards/accuracy_reward": 0.7723214253783226, "rewards/format_reward": 0.9787946343421936, "step": 63 }, { "clip_ratio": 0.0, "completion_length": 565.1841850280762, "epoch": 0.9552238805970149, "grad_norm": 0.11329229176044464, "learning_rate": 6.294095225512604e-07, "loss": 0.0174, "num_tokens": 41096869.0, "reward": 1.7622768878936768, "reward_std": 0.17155454587191343, "rewards/accuracy_reward": 0.7712053582072258, "rewards/format_reward": 0.9910714253783226, "step": 64 }, { "clip_ratio": 0.0, "completion_length": 574.6719017028809, "epoch": 0.9701492537313433, "grad_norm": 0.12106070667505264, "learning_rate": 6.167226819279527e-07, "loss": 0.0186, "num_tokens": 41744967.0, "reward": 1.7566965073347092, "reward_std": 0.13824818190187216, "rewards/accuracy_reward": 0.7633928582072258, "rewards/format_reward": 0.9933035671710968, "step": 65 }, { "clip_ratio": 0.0, "completion_length": 623.8252487182617, "epoch": 0.9850746268656716, "grad_norm": 0.10446830093860626, "learning_rate": 6.039558454088795e-07, "loss": 0.0225, "num_tokens": 42428760.0, "reward": 1.7310268580913544, "reward_std": 0.15639658458530903, "rewards/accuracy_reward": 0.7399553507566452, "rewards/format_reward": 0.9910714253783226, "step": 66 }, { "clip_ratio": 0.0, "completion_length": 601.428596496582, "epoch": 1.0149253731343284, "grad_norm": 0.1006438285112381, "learning_rate": 5.911177627460738e-07, "loss": 0.0184, "num_tokens": 43086024.0, "reward": 1.7723215073347092, "reward_std": 0.17309140413999557, "rewards/accuracy_reward": 0.7901785746216774, "rewards/format_reward": 0.9821428507566452, "step": 67 }, { "clip_ratio": 0.0, "completion_length": 639.1283798217773, "epoch": 1.0298507462686568, "grad_norm": 0.10913052409887314, "learning_rate": 5.782172325201155e-07, "loss": 0.0268, "num_tokens": 43791635.0, "reward": 1.7321429550647736, "reward_std": 0.16498004272580147, "rewards/accuracy_reward": 0.7555803656578064, "rewards/format_reward": 0.9765625, "step": 68 }, { "clip_ratio": 0.0, "completion_length": 588.599365234375, "epoch": 1.044776119402985, "grad_norm": 0.09446422755718231, "learning_rate": 5.652630961100258e-07, "loss": 0.0132, "num_tokens": 44444356.0, "reward": 1.757812574505806, "reward_std": 0.14226584695279598, "rewards/accuracy_reward": 0.7633928507566452, "rewards/format_reward": 0.9944196343421936, "step": 69 }, { "clip_ratio": 0.0, "completion_length": 585.3024826049805, "epoch": 1.0597014925373134, "grad_norm": 0.15613028407096863, "learning_rate": 5.522642316338268e-07, "loss": 0.0249, "num_tokens": 45096083.0, "reward": 1.7767857909202576, "reward_std": 0.15461723320186138, "rewards/accuracy_reward": 0.7834821492433548, "rewards/format_reward": 0.9933035597205162, "step": 70 }, { "clip_ratio": 0.0, "completion_length": 568.2790412902832, "epoch": 1.0746268656716418, "grad_norm": 0.1187715157866478, "learning_rate": 5.392295478639225e-07, "loss": 0.0358, "num_tokens": 45740253.0, "reward": 1.7812500894069672, "reward_std": 0.147844135761261, "rewards/accuracy_reward": 0.7935267835855484, "rewards/format_reward": 0.987723208963871, "step": 71 }, { "clip_ratio": 0.0, "completion_length": 605.3872985839844, "epoch": 1.0895522388059702, "grad_norm": 0.12618952989578247, "learning_rate": 5.26167978121472e-07, "loss": 0.015, "num_tokens": 46405472.0, "reward": 1.7745536416769028, "reward_std": 0.17927894555032253, "rewards/accuracy_reward": 0.7801339253783226, "rewards/format_reward": 0.994419626891613, "step": 72 }, { "clip_ratio": 0.0, "completion_length": 613.8515968322754, "epoch": 1.1044776119402986, "grad_norm": 0.12401104718446732, "learning_rate": 5.130884741539366e-07, "loss": 0.024, "num_tokens": 47088163.0, "reward": 1.7075893431901932, "reward_std": 0.20213122107088566, "rewards/accuracy_reward": 0.7131696417927742, "rewards/format_reward": 0.9944196343421936, "step": 73 }, { "clip_ratio": 0.0, "completion_length": 582.5457916259766, "epoch": 1.1194029850746268, "grad_norm": 0.14666379988193512, "learning_rate": 5e-07, "loss": 0.0017, "num_tokens": 47723356.0, "reward": 1.782366156578064, "reward_std": 0.15405129920691252, "rewards/accuracy_reward": 0.7901785597205162, "rewards/format_reward": 0.9921875, "step": 74 }, { "clip_ratio": 0.0, "completion_length": 599.9419898986816, "epoch": 1.1343283582089552, "grad_norm": 0.12369884550571442, "learning_rate": 4.869115258460634e-07, "loss": 0.0281, "num_tokens": 48385288.0, "reward": 1.7633929252624512, "reward_std": 0.16522505693137646, "rewards/accuracy_reward": 0.7712053656578064, "rewards/format_reward": 0.9921874925494194, "step": 75 }, { "clip_ratio": 0.0, "completion_length": 571.2332763671875, "epoch": 1.1492537313432836, "grad_norm": 0.1021357998251915, "learning_rate": 4.7383202187852804e-07, "loss": 0.0142, "num_tokens": 49023929.0, "reward": 1.8303572237491608, "reward_std": 0.12529135216027498, "rewards/accuracy_reward": 0.8404017761349678, "rewards/format_reward": 0.9899553582072258, "step": 76 }, { "clip_ratio": 0.0, "completion_length": 519.0881881713867, "epoch": 1.164179104477612, "grad_norm": 0.09221172332763672, "learning_rate": 4.6077045213607755e-07, "loss": 0.0251, "num_tokens": 49614464.0, "reward": 1.8314733058214188, "reward_std": 0.1043315613642335, "rewards/accuracy_reward": 0.8415178507566452, "rewards/format_reward": 0.9899553433060646, "step": 77 }, { "clip_ratio": 0.0, "completion_length": 611.8861885070801, "epoch": 1.1791044776119404, "grad_norm": 0.10308758169412613, "learning_rate": 4.477357683661733e-07, "loss": 0.0347, "num_tokens": 50289522.0, "reward": 1.7142857909202576, "reward_std": 0.1305637713521719, "rewards/accuracy_reward": 0.7287946417927742, "rewards/format_reward": 0.9854910746216774, "step": 78 }, { "clip_ratio": 0.0, "completion_length": 626.0011520385742, "epoch": 1.1940298507462686, "grad_norm": 0.10439736396074295, "learning_rate": 4.347369038899743e-07, "loss": 0.0094, "num_tokens": 50981563.0, "reward": 1.7589286416769028, "reward_std": 0.1464823465794325, "rewards/accuracy_reward": 0.761160708963871, "rewards/format_reward": 0.9977678507566452, "step": 79 }, { "clip_ratio": 0.0, "completion_length": 662.6283645629883, "epoch": 1.208955223880597, "grad_norm": 0.11504602432250977, "learning_rate": 4.2178276747988444e-07, "loss": 0.0304, "num_tokens": 51701694.0, "reward": 1.6930804252624512, "reward_std": 0.1656303908675909, "rewards/accuracy_reward": 0.7042410746216774, "rewards/format_reward": 0.9888392761349678, "step": 80 }, { "clip_ratio": 0.0, "completion_length": 610.9006958007812, "epoch": 1.2238805970149254, "grad_norm": 0.1070084497332573, "learning_rate": 4.0888223725392624e-07, "loss": 0.0111, "num_tokens": 52373973.0, "reward": 1.7544643580913544, "reward_std": 0.11468092259019613, "rewards/accuracy_reward": 0.7566964328289032, "rewards/format_reward": 0.9977678507566452, "step": 81 }, { "clip_ratio": 0.0, "completion_length": 576.9643096923828, "epoch": 1.2388059701492538, "grad_norm": 0.12054042518138885, "learning_rate": 3.960441545911204e-07, "loss": 0.0152, "num_tokens": 53028037.0, "reward": 1.7879464775323868, "reward_std": 0.15595215652137995, "rewards/accuracy_reward": 0.7935267761349678, "rewards/format_reward": 0.9944196343421936, "step": 82 }, { "clip_ratio": 0.0, "completion_length": 605.6752471923828, "epoch": 1.2537313432835822, "grad_norm": 0.10490835458040237, "learning_rate": 3.8327731807204744e-07, "loss": 0.0112, "num_tokens": 53699490.0, "reward": 1.7388393580913544, "reward_std": 0.17471368238329887, "rewards/accuracy_reward": 0.7444196343421936, "rewards/format_reward": 0.9944196343421936, "step": 83 }, { "clip_ratio": 0.0, "completion_length": 613.0904235839844, "epoch": 1.2686567164179103, "grad_norm": 0.12984751164913177, "learning_rate": 3.7059047744873955e-07, "loss": 0.0298, "num_tokens": 54387443.0, "reward": 1.7399554550647736, "reward_std": 0.17055520229041576, "rewards/accuracy_reward": 0.7466517761349678, "rewards/format_reward": 0.9933035671710968, "step": 84 }, { "clip_ratio": 0.0, "completion_length": 601.9888687133789, "epoch": 1.2835820895522387, "grad_norm": 0.09954959899187088, "learning_rate": 3.5799232764803867e-07, "loss": 0.0307, "num_tokens": 55045329.0, "reward": 1.782366156578064, "reward_std": 0.14454064890742302, "rewards/accuracy_reward": 0.7935267835855484, "rewards/format_reward": 0.9888392761349678, "step": 85 }, { "clip_ratio": 0.0, "completion_length": 604.8571624755859, "epoch": 1.2985074626865671, "grad_norm": 0.09568862617015839, "learning_rate": 3.454915028125263e-07, "loss": 0.0255, "num_tokens": 55709977.0, "reward": 1.7232143729925156, "reward_std": 0.14090445078909397, "rewards/accuracy_reward": 0.7321428582072258, "rewards/format_reward": 0.9910714328289032, "step": 86 }, { "clip_ratio": 0.0, "completion_length": 633.7187881469727, "epoch": 1.3134328358208955, "grad_norm": 0.09479253739118576, "learning_rate": 3.330965703831146e-07, "loss": 0.0362, "num_tokens": 56409949.0, "reward": 1.7209822088479996, "reward_std": 0.1328377453610301, "rewards/accuracy_reward": 0.7462225183844566, "rewards/format_reward": 0.9821428582072258, "step": 87 }, { "clip_ratio": 0.0, "completion_length": 566.6261444091797, "epoch": 1.328358208955224, "grad_norm": 0.0859806090593338, "learning_rate": 3.2081602522734985e-07, "loss": 0.0102, "num_tokens": 57056030.0, "reward": 1.8861607909202576, "reward_std": 0.08803954161703587, "rewards/accuracy_reward": 0.8872767761349678, "rewards/format_reward": 0.9988839253783226, "step": 88 }, { "clip_ratio": 0.0, "completion_length": 561.8058242797852, "epoch": 1.3432835820895521, "grad_norm": 0.11504408717155457, "learning_rate": 3.086582838174551e-07, "loss": 0.0164, "num_tokens": 57685296.0, "reward": 1.7801340073347092, "reward_std": 0.1496917586773634, "rewards/accuracy_reward": 0.7834821343421936, "rewards/format_reward": 0.9966517761349678, "step": 89 }, { "clip_ratio": 0.0, "completion_length": 604.1942291259766, "epoch": 1.3582089552238805, "grad_norm": 0.11696956306695938, "learning_rate": 2.9663167846209996e-07, "loss": 0.0174, "num_tokens": 58359782.0, "reward": 1.7410715073347092, "reward_std": 0.13343470823019743, "rewards/accuracy_reward": 0.746651791036129, "rewards/format_reward": 0.9944196343421936, "step": 90 }, { "clip_ratio": 0.0, "completion_length": 549.7087287902832, "epoch": 1.373134328358209, "grad_norm": 0.10284429043531418, "learning_rate": 2.847444515958523e-07, "loss": 0.0248, "num_tokens": 58984449.0, "reward": 1.829241156578064, "reward_std": 0.14068395644426346, "rewards/accuracy_reward": 0.8348214253783226, "rewards/format_reward": 0.9944196417927742, "step": 91 }, { "clip_ratio": 0.0, "completion_length": 609.9464569091797, "epoch": 1.3880597014925373, "grad_norm": 0.09784922748804092, "learning_rate": 2.730047501302266e-07, "loss": 0.0335, "num_tokens": 59657025.0, "reward": 1.7834822237491608, "reward_std": 0.14826951827853918, "rewards/accuracy_reward": 0.7979910671710968, "rewards/format_reward": 0.9854910597205162, "step": 92 }, { "clip_ratio": 0.0, "completion_length": 607.3013610839844, "epoch": 1.4029850746268657, "grad_norm": 0.1128157526254654, "learning_rate": 2.6142061987019574e-07, "loss": 0.0299, "num_tokens": 60321071.0, "reward": 1.7957590073347092, "reward_std": 0.15062199719250202, "rewards/accuracy_reward": 0.8024553582072258, "rewards/format_reward": 0.9933035597205162, "step": 93 }, { "clip_ratio": 0.0, "completion_length": 565.7411003112793, "epoch": 1.417910447761194, "grad_norm": 0.11607693880796432, "learning_rate": 2.500000000000001e-07, "loss": 0.0219, "num_tokens": 60970559.0, "reward": 1.7712054252624512, "reward_std": 0.13864925876259804, "rewards/accuracy_reward": 0.7779017835855484, "rewards/format_reward": 0.9933035597205162, "step": 94 }, { "clip_ratio": 0.0, "completion_length": 602.8002548217773, "epoch": 1.4328358208955223, "grad_norm": 0.1278841495513916, "learning_rate": 2.387507176420256e-07, "loss": 0.0224, "num_tokens": 61642308.0, "reward": 1.7198661416769028, "reward_std": 0.1696074465289712, "rewards/accuracy_reward": 0.7332589328289032, "rewards/format_reward": 0.9866071417927742, "step": 95 }, { "clip_ratio": 0.0, "completion_length": 627.9654312133789, "epoch": 1.4477611940298507, "grad_norm": 0.1310645341873169, "learning_rate": 2.2768048249248644e-07, "loss": 0.0202, "num_tokens": 62334189.0, "reward": 1.7812501043081284, "reward_std": 0.14759367797523737, "rewards/accuracy_reward": 0.7879464253783226, "rewards/format_reward": 0.9933035597205162, "step": 96 }, { "clip_ratio": 0.0, "completion_length": 560.3035926818848, "epoch": 1.462686567164179, "grad_norm": 0.10888738930225372, "learning_rate": 2.167968815375837e-07, "loss": 0.0074, "num_tokens": 62972013.0, "reward": 1.7946429252624512, "reward_std": 0.12166838068515062, "rewards/accuracy_reward": 0.800223208963871, "rewards/format_reward": 0.9944196417927742, "step": 97 }, { "clip_ratio": 0.0, "completion_length": 638.4877548217773, "epoch": 1.4776119402985075, "grad_norm": 0.12343649566173553, "learning_rate": 2.0610737385376348e-07, "loss": 0.0268, "num_tokens": 63685994.0, "reward": 1.7287947237491608, "reward_std": 0.1671175602823496, "rewards/accuracy_reward": 0.7366071492433548, "rewards/format_reward": 0.9921874776482582, "step": 98 }, { "clip_ratio": 0.0, "completion_length": 659.0502548217773, "epoch": 1.4925373134328357, "grad_norm": 0.11799073964357376, "learning_rate": 1.9561928549563966e-07, "loss": 0.0153, "num_tokens": 64414591.0, "reward": 1.6685268580913544, "reward_std": 0.16868568398058414, "rewards/accuracy_reward": 0.6718750037252903, "rewards/format_reward": 0.9966517835855484, "step": 99 }, { "epoch": 1.5074626865671643, "grad_norm": 0.09030181914567947, "learning_rate": 1.8533980447508135e-07, "loss": 0.0049, "step": 100 }, { "epoch": 1.5074626865671643, "eval_clip_ratio": 0.0, "eval_completion_length": 592.329727769564, "eval_loss": 0.021697601303458214, "eval_num_tokens": 65050155.0, "eval_reward": 1.715956783161483, "eval_reward_std": 0.17178419383253132, "eval_rewards/accuracy_reward": 0.7222416201949785, "eval_rewards/format_reward": 0.9937150783045998, "eval_runtime": 7214.1655, "eval_samples_per_second": 0.693, "eval_steps_per_second": 0.006, "step": 100 }, { "clip_ratio": 0.0, "completion_length": 592.2946720123291, "epoch": 1.5223880597014925, "grad_norm": 0.12870648503303528, "learning_rate": 1.7527597583490823e-07, "loss": 0.0078, "num_tokens": 65721623.0, "reward": 1.771205447614193, "reward_std": 0.13381139980629086, "rewards/accuracy_reward": 0.7804344072937965, "rewards/format_reward": 0.9944196417927742, "step": 101 }, { "clip_ratio": 0.0, "completion_length": 567.9241256713867, "epoch": 1.537313432835821, "grad_norm": 0.1074695810675621, "learning_rate": 1.6543469682057104e-07, "loss": 0.0277, "num_tokens": 66366667.0, "reward": 1.7712054401636124, "reward_std": 0.1381669770926237, "rewards/accuracy_reward": 0.7790178582072258, "rewards/format_reward": 0.9921874925494194, "step": 102 }, { "clip_ratio": 0.0, "completion_length": 617.3058319091797, "epoch": 1.5522388059701493, "grad_norm": 0.11733277142047882, "learning_rate": 1.5582271215312293e-07, "loss": 0.016, "num_tokens": 67046333.0, "reward": 1.7388393580913544, "reward_std": 0.13305745087563992, "rewards/accuracy_reward": 0.7444196492433548, "rewards/format_reward": 0.9944196343421936, "step": 103 }, { "clip_ratio": 0.0, "completion_length": 568.180835723877, "epoch": 1.5671641791044775, "grad_norm": 0.12533283233642578, "learning_rate": 1.4644660940672627e-07, "loss": 0.0358, "num_tokens": 67691495.0, "reward": 1.7756697237491608, "reward_std": 0.12638314347714186, "rewards/accuracy_reward": 0.7857142761349678, "rewards/format_reward": 0.9899553507566452, "step": 104 }, { "clip_ratio": 0.0, "completion_length": 603.5212249755859, "epoch": 1.582089552238806, "grad_norm": 0.09835629165172577, "learning_rate": 1.3731281449385628e-07, "loss": 0.0094, "num_tokens": 68369554.0, "reward": 1.781250074505806, "reward_std": 0.1372467102482915, "rewards/accuracy_reward": 0.7868303582072258, "rewards/format_reward": 0.9944196417927742, "step": 105 }, { "clip_ratio": 0.0, "completion_length": 630.0357513427734, "epoch": 1.5970149253731343, "grad_norm": 0.11403670161962509, "learning_rate": 1.284275872613028e-07, "loss": 0.0133, "num_tokens": 69064954.0, "reward": 1.7243304252624512, "reward_std": 0.16303362511098385, "rewards/accuracy_reward": 0.7265624925494194, "rewards/format_reward": 0.9977678507566452, "step": 106 }, { "clip_ratio": 0.0, "completion_length": 657.9710083007812, "epoch": 1.6119402985074627, "grad_norm": 0.1182536780834198, "learning_rate": 1.1979701719998454e-07, "loss": 0.0307, "num_tokens": 69789256.0, "reward": 1.7455357909202576, "reward_std": 0.168695330619812, "rewards/accuracy_reward": 0.7555803656578064, "rewards/format_reward": 0.9899553507566452, "step": 107 }, { "clip_ratio": 0.0, "completion_length": 588.330379486084, "epoch": 1.626865671641791, "grad_norm": 0.11358051002025604, "learning_rate": 1.1142701927151454e-07, "loss": 0.0274, "num_tokens": 70436328.0, "reward": 1.805803656578064, "reward_std": 0.1442921068519354, "rewards/accuracy_reward": 0.8147321492433548, "rewards/format_reward": 0.9910714253783226, "step": 108 }, { "clip_ratio": 0.0, "completion_length": 617.8203506469727, "epoch": 1.6417910447761193, "grad_norm": 0.13703642785549164, "learning_rate": 1.0332332985438247e-07, "loss": 0.0042, "num_tokens": 71124159.0, "reward": 1.7767858058214188, "reward_std": 0.14657451026141644, "rewards/accuracy_reward": 0.7790178656578064, "rewards/format_reward": 0.9977678507566452, "step": 109 }, { "clip_ratio": 0.0, "completion_length": 580.6573905944824, "epoch": 1.6567164179104479, "grad_norm": 0.0975952073931694, "learning_rate": 9.549150281252632e-08, "loss": 0.0203, "num_tokens": 71770340.0, "reward": 1.7689732909202576, "reward_std": 0.12042983993887901, "rewards/accuracy_reward": 0.7745535671710968, "rewards/format_reward": 0.9944196343421936, "step": 110 }, { "clip_ratio": 0.0, "completion_length": 636.9743576049805, "epoch": 1.671641791044776, "grad_norm": 0.10074656456708908, "learning_rate": 8.793690568899215e-08, "loss": 0.0126, "num_tokens": 72464645.0, "reward": 1.7578125894069672, "reward_std": 0.15030533727258444, "rewards/accuracy_reward": 0.7633928507566452, "rewards/format_reward": 0.9944196417927742, "step": 111 }, { "clip_ratio": 0.0, "completion_length": 634.4721145629883, "epoch": 1.6865671641791045, "grad_norm": 0.09204529970884323, "learning_rate": 8.066471602728803e-08, "loss": 0.0321, "num_tokens": 73150796.0, "reward": 1.7801340222358704, "reward_std": 0.12358444835990667, "rewards/accuracy_reward": 0.7901785746216774, "rewards/format_reward": 0.9899553507566452, "step": 112 }, { "clip_ratio": 0.0, "completion_length": 586.6027069091797, "epoch": 1.7014925373134329, "grad_norm": 0.10714556276798248, "learning_rate": 7.36799178229539e-08, "loss": 0.029, "num_tokens": 73804200.0, "reward": 1.7455357760190964, "reward_std": 0.1615738943219185, "rewards/accuracy_reward": 0.7566964328289032, "rewards/format_reward": 0.9888392761349678, "step": 113 }, { "clip_ratio": 0.0, "completion_length": 567.3649749755859, "epoch": 1.716417910447761, "grad_norm": 0.11726563423871994, "learning_rate": 6.698729810778064e-08, "loss": 0.0008, "num_tokens": 74444399.0, "reward": 1.8069197237491608, "reward_std": 0.12931114435195923, "rewards/accuracy_reward": 0.8102678582072258, "rewards/format_reward": 0.9966517761349678, "step": 114 }, { "clip_ratio": 0.0, "completion_length": 625.3214569091797, "epoch": 1.7313432835820897, "grad_norm": 0.1247309222817421, "learning_rate": 6.059144366901736e-08, "loss": 0.0196, "num_tokens": 75133231.0, "reward": 1.73214291036129, "reward_std": 0.14865244133397937, "rewards/accuracy_reward": 0.7433035671710968, "rewards/format_reward": 0.9888392761349678, "step": 115 }, { "clip_ratio": 0.0, "completion_length": 562.8538246154785, "epoch": 1.7462686567164178, "grad_norm": 0.09697449207305908, "learning_rate": 5.44967379058161e-08, "loss": 0.0212, "num_tokens": 75758132.0, "reward": 1.7455357909202576, "reward_std": 0.1268181591294706, "rewards/accuracy_reward": 0.753348208963871, "rewards/format_reward": 0.9921875, "step": 116 }, { "clip_ratio": 0.0, "completion_length": 628.1741333007812, "epoch": 1.7611940298507462, "grad_norm": 0.11467966437339783, "learning_rate": 4.870735782506979e-08, "loss": 0.0212, "num_tokens": 76476424.0, "reward": 1.7254465222358704, "reward_std": 0.18577638221904635, "rewards/accuracy_reward": 0.7299107164144516, "rewards/format_reward": 0.9955357015132904, "step": 117 }, { "clip_ratio": 0.0, "completion_length": 637.7288208007812, "epoch": 1.7761194029850746, "grad_norm": 0.12015992403030396, "learning_rate": 4.322727117869951e-08, "loss": 0.0363, "num_tokens": 77174237.0, "reward": 1.7243304252624512, "reward_std": 0.16919867880642414, "rewards/accuracy_reward": 0.737723208963871, "rewards/format_reward": 0.986607126891613, "step": 118 }, { "clip_ratio": 0.0, "completion_length": 608.5301666259766, "epoch": 1.7910447761194028, "grad_norm": 0.1321968138217926, "learning_rate": 3.806023374435663e-08, "loss": 0.0319, "num_tokens": 77844888.0, "reward": 1.742187574505806, "reward_std": 0.1826935103163123, "rewards/accuracy_reward": 0.7500000111758709, "rewards/format_reward": 0.9921874925494194, "step": 119 }, { "clip_ratio": 0.0, "completion_length": 615.6049194335938, "epoch": 1.8059701492537314, "grad_norm": 0.12096427381038666, "learning_rate": 3.3209786751399184e-08, "loss": 0.0184, "num_tokens": 78535414.0, "reward": 1.7957590073347092, "reward_std": 0.1389077603816986, "rewards/accuracy_reward": 0.8035714253783226, "rewards/format_reward": 0.9921874925494194, "step": 120 }, { "clip_ratio": 0.0, "completion_length": 601.6015853881836, "epoch": 1.8208955223880596, "grad_norm": 0.10550054907798767, "learning_rate": 2.8679254453910785e-08, "loss": 0.0298, "num_tokens": 79204753.0, "reward": 1.7220982909202576, "reward_std": 0.1378917433321476, "rewards/accuracy_reward": 0.7287946417927742, "rewards/format_reward": 0.9933035597205162, "step": 121 }, { "clip_ratio": 0.0, "completion_length": 647.8415374755859, "epoch": 1.835820895522388, "grad_norm": 0.10303810238838196, "learning_rate": 2.4471741852423233e-08, "loss": 0.0258, "num_tokens": 79932011.0, "reward": 1.7421875894069672, "reward_std": 0.17180508747696877, "rewards/accuracy_reward": 0.7566964253783226, "rewards/format_reward": 0.9854910597205162, "step": 122 }, { "clip_ratio": 0.0, "completion_length": 624.6116333007812, "epoch": 1.8507462686567164, "grad_norm": 0.1059068813920021, "learning_rate": 2.0590132565903473e-08, "loss": 0.0385, "num_tokens": 80624703.0, "reward": 1.7924107760190964, "reward_std": 0.1603873297572136, "rewards/accuracy_reward": 0.8080357164144516, "rewards/format_reward": 0.984375, "step": 123 }, { "clip_ratio": 0.0, "completion_length": 577.8995819091797, "epoch": 1.8656716417910446, "grad_norm": 0.12102499604225159, "learning_rate": 1.7037086855465898e-08, "loss": 0.0069, "num_tokens": 81266965.0, "reward": 1.7555804401636124, "reward_std": 0.15357153490185738, "rewards/accuracy_reward": 0.7555803582072258, "rewards/format_reward": 1.0, "step": 124 }, { "clip_ratio": 0.0, "completion_length": 632.3482322692871, "epoch": 1.8805970149253732, "grad_norm": 0.1061650738120079, "learning_rate": 1.3815039801161722e-08, "loss": 0.0114, "num_tokens": 81960317.0, "reward": 1.758928656578064, "reward_std": 0.1489480398595333, "rewards/accuracy_reward": 0.7622767835855484, "rewards/format_reward": 0.9966517835855484, "step": 125 }, { "clip_ratio": 0.0, "completion_length": 553.6853065490723, "epoch": 1.8955223880597014, "grad_norm": 0.11372170597314835, "learning_rate": 1.0926199633097154e-08, "loss": 0.0107, "num_tokens": 82582595.0, "reward": 1.805803656578064, "reward_std": 0.12326187361031771, "rewards/accuracy_reward": 0.809151791036129, "rewards/format_reward": 0.9966517835855484, "step": 126 }, { "clip_ratio": 0.0, "completion_length": 621.6317367553711, "epoch": 1.9104477611940298, "grad_norm": 0.10079541057348251, "learning_rate": 8.372546218022746e-09, "loss": 0.027, "num_tokens": 83276513.0, "reward": 1.7187500894069672, "reward_std": 0.14888622052967548, "rewards/accuracy_reward": 0.7287946343421936, "rewards/format_reward": 0.9899553582072258, "step": 127 }, { "clip_ratio": 0.0, "completion_length": 583.2857360839844, "epoch": 1.9253731343283582, "grad_norm": 0.11577489972114563, "learning_rate": 6.15582970243117e-09, "loss": 0.0138, "num_tokens": 83929505.0, "reward": 1.7991072237491608, "reward_std": 0.11922843009233475, "rewards/accuracy_reward": 0.800223208963871, "rewards/format_reward": 0.9988839253783226, "step": 128 }, { "clip_ratio": 0.0, "completion_length": 632.0848541259766, "epoch": 1.9402985074626866, "grad_norm": 0.10834372043609619, "learning_rate": 4.277569313094809e-09, "loss": 0.0197, "num_tokens": 84619181.0, "reward": 1.7712054401636124, "reward_std": 0.15788256376981735, "rewards/accuracy_reward": 0.785714291036129, "rewards/format_reward": 0.9854910597205162, "step": 129 }, { "clip_ratio": 0.0, "completion_length": 636.475471496582, "epoch": 1.955223880597015, "grad_norm": 0.10320267826318741, "learning_rate": 2.739052315863355e-09, "loss": 0.0212, "num_tokens": 85331207.0, "reward": 1.7131697237491608, "reward_std": 0.1358252428472042, "rewards/accuracy_reward": 0.7187500074505806, "rewards/format_reward": 0.9944196343421936, "step": 130 }, { "clip_ratio": 0.0, "completion_length": 582.7500343322754, "epoch": 1.9701492537313432, "grad_norm": 0.12011269479990005, "learning_rate": 1.541333133436018e-09, "loss": 0.0075, "num_tokens": 85980519.0, "reward": 1.8113840222358704, "reward_std": 0.12723324913531542, "rewards/accuracy_reward": 0.8136160597205162, "rewards/format_reward": 0.9977678582072258, "step": 131 }, { "clip_ratio": 0.0, "completion_length": 611.2233848571777, "epoch": 1.9850746268656716, "grad_norm": 0.09882749617099762, "learning_rate": 6.852326227130833e-10, "loss": 0.0123, "num_tokens": 86666974.0, "reward": 1.7555804550647736, "reward_std": 0.13798785768449306, "rewards/accuracy_reward": 0.7611607238650322, "rewards/format_reward": 0.9944196343421936, "step": 132 }, { "epoch": 1.9850746268656716, "step": 132, "total_flos": 0.0, "train_loss": 0.0225595414226656, "train_runtime": 34371.2658, "train_samples_per_second": 0.436, "train_steps_per_second": 0.004 } ], "logging_steps": 1, "max_steps": 134, "num_input_tokens_seen": 0, "num_train_epochs": 2, "save_steps": 500, "stateful_callbacks": { "TrainerControl": { "args": { "should_epoch_stop": false, "should_evaluate": false, "should_log": false, "should_save": true, "should_training_stop": false }, "attributes": {} } }, "total_flos": 0.0, "train_batch_size": 16, "trial_name": null, "trial_params": null }