{ "best_global_step": null, "best_metric": null, "best_model_checkpoint": null, "epoch": 4.8, "eval_steps": 100, "global_step": 3000, "is_hyper_param_search": false, "is_local_process_zero": true, "is_world_process_zero": true, "log_history": [ { "entropy": 0.6421742392703891, "epoch": 0.016, "grad_norm": 4.4375, "learning_rate": 1.8e-07, "loss": 0.953, "mean_token_accuracy": 0.792544937506318, "num_tokens": 282849.0, "step": 10 }, { "entropy": 0.6719903893768787, "epoch": 0.032, "grad_norm": 4.25, "learning_rate": 3.8e-07, "loss": 0.9758, "mean_token_accuracy": 0.7857426963746548, "num_tokens": 561726.0, "step": 20 }, { "entropy": 0.6603780068457127, "epoch": 0.048, "grad_norm": 4.40625, "learning_rate": 5.800000000000001e-07, "loss": 0.9582, "mean_token_accuracy": 0.7894285101443529, "num_tokens": 842092.0, "step": 30 }, { "entropy": 0.6775440879166126, "epoch": 0.064, "grad_norm": 3.890625, "learning_rate": 7.8e-07, "loss": 0.9776, "mean_token_accuracy": 0.785004175081849, "num_tokens": 1133349.0, "step": 40 }, { "entropy": 0.6926743468269706, "epoch": 0.08, "grad_norm": 4.6875, "learning_rate": 9.800000000000001e-07, "loss": 0.9497, "mean_token_accuracy": 0.7896979171782732, "num_tokens": 1422340.0, "step": 50 }, { "entropy": 0.7043748194351792, "epoch": 0.096, "grad_norm": 3.484375, "learning_rate": 1.1800000000000001e-06, "loss": 0.9217, "mean_token_accuracy": 0.7949878334999084, "num_tokens": 1711821.0, "step": 60 }, { "entropy": 0.7551965553313493, "epoch": 0.112, "grad_norm": 2.71875, "learning_rate": 1.3800000000000001e-06, "loss": 0.931, "mean_token_accuracy": 0.7912098452448845, "num_tokens": 1991855.0, "step": 70 }, { "entropy": 0.7913430579006672, "epoch": 0.128, "grad_norm": 2.359375, "learning_rate": 1.5800000000000001e-06, "loss": 0.9172, "mean_token_accuracy": 0.7935858864337206, "num_tokens": 2288720.0, "step": 80 }, { "entropy": 0.7881425807252527, "epoch": 0.144, "grad_norm": 2.125, "learning_rate": 1.7800000000000001e-06, "loss": 0.917, "mean_token_accuracy": 0.7932404045015573, "num_tokens": 2564352.0, "step": 90 }, { "entropy": 0.7627748234197498, "epoch": 0.16, "grad_norm": 2.125, "learning_rate": 1.98e-06, "loss": 0.9014, "mean_token_accuracy": 0.7970093633979559, "num_tokens": 2841876.0, "step": 100 }, { "epoch": 0.16, "eval_math_entropy": 0.7972113332748413, "eval_math_loss": 0.9417253136634827, "eval_math_mean_token_accuracy": 0.7907100429534912, "eval_math_num_tokens": 2841876.0, "eval_math_runtime": 35.8728, "eval_math_samples_per_second": 13.938, "eval_math_steps_per_second": 3.485, "step": 100 }, { "epoch": 0.16, "eval_physics_entropy": 0.7183168392181396, "eval_physics_loss": 0.7405859231948853, "eval_physics_mean_token_accuracy": 0.822186062335968, "eval_physics_num_tokens": 2841876.0, "eval_physics_runtime": 41.4814, "eval_physics_samples_per_second": 12.054, "eval_physics_steps_per_second": 3.013, "step": 100 }, { "entropy": 0.7770459342747926, "epoch": 0.176, "grad_norm": 1.9765625, "learning_rate": 2.1800000000000003e-06, "loss": 0.8952, "mean_token_accuracy": 0.7969978783279658, "num_tokens": 3129237.0, "step": 110 }, { "entropy": 0.7958783155307174, "epoch": 0.192, "grad_norm": 2.3125, "learning_rate": 2.38e-06, "loss": 0.9119, "mean_token_accuracy": 0.793396720290184, "num_tokens": 3414875.0, "step": 120 }, { "entropy": 0.7911858700215817, "epoch": 0.208, "grad_norm": 2.4375, "learning_rate": 2.5800000000000003e-06, "loss": 0.8979, "mean_token_accuracy": 0.7956417176872492, "num_tokens": 3695623.0, "step": 130 }, { "entropy": 0.7871318949386478, "epoch": 0.224, "grad_norm": 2.09375, "learning_rate": 2.7800000000000005e-06, "loss": 0.8882, "mean_token_accuracy": 0.7958744909614325, "num_tokens": 3977666.0, "step": 140 }, { "entropy": 0.7629930060356855, "epoch": 0.24, "grad_norm": 1.9453125, "learning_rate": 2.9800000000000003e-06, "loss": 0.8654, "mean_token_accuracy": 0.8001766365021468, "num_tokens": 4269287.0, "step": 150 }, { "entropy": 0.7563591374084353, "epoch": 0.256, "grad_norm": 2.015625, "learning_rate": 3.1800000000000005e-06, "loss": 0.846, "mean_token_accuracy": 0.8012917254120111, "num_tokens": 4558632.0, "step": 160 }, { "entropy": 0.7706880155950785, "epoch": 0.272, "grad_norm": 1.859375, "learning_rate": 3.3800000000000007e-06, "loss": 0.8589, "mean_token_accuracy": 0.8001386649906636, "num_tokens": 4839270.0, "step": 170 }, { "entropy": 0.7551738245412707, "epoch": 0.288, "grad_norm": 1.609375, "learning_rate": 3.58e-06, "loss": 0.8468, "mean_token_accuracy": 0.8015156831592322, "num_tokens": 5125447.0, "step": 180 }, { "entropy": 0.7806578669697046, "epoch": 0.304, "grad_norm": 1.7734375, "learning_rate": 3.7800000000000002e-06, "loss": 0.8405, "mean_token_accuracy": 0.7998461078852415, "num_tokens": 5415925.0, "step": 190 }, { "entropy": 0.7316340124234557, "epoch": 0.32, "grad_norm": 1.6953125, "learning_rate": 3.980000000000001e-06, "loss": 0.7942, "mean_token_accuracy": 0.8076768793165684, "num_tokens": 5710178.0, "step": 200 }, { "epoch": 0.32, "eval_math_entropy": 0.7726770024299622, "eval_math_loss": 0.84871506690979, "eval_math_mean_token_accuracy": 0.7979933972358704, "eval_math_num_tokens": 5710178.0, "eval_math_runtime": 35.765, "eval_math_samples_per_second": 13.98, "eval_math_steps_per_second": 3.495, "step": 200 }, { "epoch": 0.32, "eval_physics_entropy": 0.6965276994705201, "eval_physics_loss": 0.7036627531051636, "eval_physics_mean_token_accuracy": 0.820941798210144, "eval_physics_num_tokens": 5710178.0, "eval_physics_runtime": 41.4597, "eval_physics_samples_per_second": 12.06, "eval_physics_steps_per_second": 3.015, "step": 200 }, { "entropy": 0.7737893080338836, "epoch": 0.336, "grad_norm": 1.828125, "learning_rate": 4.18e-06, "loss": 0.8126, "mean_token_accuracy": 0.800426610186696, "num_tokens": 5993843.0, "step": 210 }, { "entropy": 0.7482354704290628, "epoch": 0.352, "grad_norm": 1.9609375, "learning_rate": 4.38e-06, "loss": 0.7874, "mean_token_accuracy": 0.8061643201857805, "num_tokens": 6279137.0, "step": 220 }, { "entropy": 0.7608217550441623, "epoch": 0.368, "grad_norm": 1.65625, "learning_rate": 4.58e-06, "loss": 0.7742, "mean_token_accuracy": 0.803000221401453, "num_tokens": 6562387.0, "step": 230 }, { "entropy": 0.748550821095705, "epoch": 0.384, "grad_norm": 1.84375, "learning_rate": 4.78e-06, "loss": 0.7565, "mean_token_accuracy": 0.8081529751420021, "num_tokens": 6851520.0, "step": 240 }, { "entropy": 0.7808488950133323, "epoch": 0.4, "grad_norm": 1.75, "learning_rate": 4.980000000000001e-06, "loss": 0.7953, "mean_token_accuracy": 0.7999043371528387, "num_tokens": 7138932.0, "step": 250 }, { "entropy": 0.7674930268898607, "epoch": 0.416, "grad_norm": 1.6796875, "learning_rate": 5.18e-06, "loss": 0.7597, "mean_token_accuracy": 0.8044768057763576, "num_tokens": 7420720.0, "step": 260 }, { "entropy": 0.7496220650151372, "epoch": 0.432, "grad_norm": 1.5390625, "learning_rate": 5.380000000000001e-06, "loss": 0.7468, "mean_token_accuracy": 0.8073872365057468, "num_tokens": 7695518.0, "step": 270 }, { "entropy": 0.7439631385728717, "epoch": 0.448, "grad_norm": 2.21875, "learning_rate": 5.580000000000001e-06, "loss": 0.7339, "mean_token_accuracy": 0.8076559219509363, "num_tokens": 7983543.0, "step": 280 }, { "entropy": 0.7457249015569687, "epoch": 0.464, "grad_norm": 2.65625, "learning_rate": 5.78e-06, "loss": 0.741, "mean_token_accuracy": 0.8087894931435585, "num_tokens": 8271787.0, "step": 290 }, { "entropy": 0.7761816097423434, "epoch": 0.48, "grad_norm": 1.78125, "learning_rate": 5.98e-06, "loss": 0.7548, "mean_token_accuracy": 0.8063571337610483, "num_tokens": 8556170.0, "step": 300 }, { "epoch": 0.48, "eval_math_entropy": 0.7653279647827148, "eval_math_loss": 0.7636919021606445, "eval_math_mean_token_accuracy": 0.8056883907318115, "eval_math_num_tokens": 8556170.0, "eval_math_runtime": 35.8013, "eval_math_samples_per_second": 13.966, "eval_math_steps_per_second": 3.491, "step": 300 }, { "epoch": 0.48, "eval_physics_entropy": 0.6890090732574463, "eval_physics_loss": 0.6574941277503967, "eval_physics_mean_token_accuracy": 0.8227382025718689, "eval_physics_num_tokens": 8556170.0, "eval_physics_runtime": 41.4883, "eval_physics_samples_per_second": 12.052, "eval_physics_steps_per_second": 3.013, "step": 300 }, { "entropy": 0.7349074123427272, "epoch": 0.496, "grad_norm": 1.828125, "learning_rate": 6.18e-06, "loss": 0.7172, "mean_token_accuracy": 0.8132212206721305, "num_tokens": 8840590.0, "step": 310 }, { "entropy": 0.7443849379196763, "epoch": 0.512, "grad_norm": 1.6640625, "learning_rate": 6.380000000000001e-06, "loss": 0.7181, "mean_token_accuracy": 0.812743404135108, "num_tokens": 9131903.0, "step": 320 }, { "entropy": 0.7170431386679411, "epoch": 0.528, "grad_norm": 1.7109375, "learning_rate": 6.5800000000000005e-06, "loss": 0.7045, "mean_token_accuracy": 0.8160003747791051, "num_tokens": 9429519.0, "step": 330 }, { "entropy": 0.7328394843265414, "epoch": 0.544, "grad_norm": 2.234375, "learning_rate": 6.780000000000001e-06, "loss": 0.722, "mean_token_accuracy": 0.8143766384571791, "num_tokens": 9718247.0, "step": 340 }, { "entropy": 0.7620531113818287, "epoch": 0.56, "grad_norm": 2.453125, "learning_rate": 6.98e-06, "loss": 0.7395, "mean_token_accuracy": 0.8070962373167276, "num_tokens": 9991100.0, "step": 350 }, { "entropy": 0.7331368897110224, "epoch": 0.576, "grad_norm": 1.8515625, "learning_rate": 7.180000000000001e-06, "loss": 0.7173, "mean_token_accuracy": 0.8115411166101694, "num_tokens": 10276090.0, "step": 360 }, { "entropy": 0.7342592483386398, "epoch": 0.592, "grad_norm": 1.546875, "learning_rate": 7.3800000000000005e-06, "loss": 0.7141, "mean_token_accuracy": 0.8124774299561978, "num_tokens": 10566762.0, "step": 370 }, { "entropy": 0.7440765531733632, "epoch": 0.608, "grad_norm": 1.59375, "learning_rate": 7.58e-06, "loss": 0.7237, "mean_token_accuracy": 0.8122259072959424, "num_tokens": 10857002.0, "step": 380 }, { "entropy": 0.7216648861765862, "epoch": 0.624, "grad_norm": 2.25, "learning_rate": 7.78e-06, "loss": 0.7057, "mean_token_accuracy": 0.8139940846711398, "num_tokens": 11147326.0, "step": 390 }, { "entropy": 0.7119627617299557, "epoch": 0.64, "grad_norm": 1.5234375, "learning_rate": 7.980000000000002e-06, "loss": 0.6947, "mean_token_accuracy": 0.8168974690139293, "num_tokens": 11437710.0, "step": 400 }, { "epoch": 0.64, "eval_math_entropy": 0.7429183626174927, "eval_math_loss": 0.7330864071846008, "eval_math_mean_token_accuracy": 0.8096566972732544, "eval_math_num_tokens": 11437710.0, "eval_math_runtime": 35.7944, "eval_math_samples_per_second": 13.969, "eval_math_steps_per_second": 3.492, "step": 400 }, { "epoch": 0.64, "eval_physics_entropy": 0.6820782516002655, "eval_physics_loss": 0.6511842012405396, "eval_physics_mean_token_accuracy": 0.8221303143501282, "eval_physics_num_tokens": 11437710.0, "eval_physics_runtime": 41.4584, "eval_physics_samples_per_second": 12.06, "eval_physics_steps_per_second": 3.015, "step": 400 }, { "entropy": 0.712121813185513, "epoch": 0.656, "grad_norm": 1.40625, "learning_rate": 8.18e-06, "loss": 0.6914, "mean_token_accuracy": 0.8179911982268095, "num_tokens": 11727268.0, "step": 410 }, { "entropy": 0.7159143410623073, "epoch": 0.672, "grad_norm": 1.65625, "learning_rate": 8.380000000000001e-06, "loss": 0.7016, "mean_token_accuracy": 0.813546035438776, "num_tokens": 12020478.0, "step": 420 }, { "entropy": 0.7149255678057671, "epoch": 0.688, "grad_norm": 1.5078125, "learning_rate": 8.580000000000001e-06, "loss": 0.6908, "mean_token_accuracy": 0.8162215895950794, "num_tokens": 12300380.0, "step": 430 }, { "entropy": 0.7053035136312247, "epoch": 0.704, "grad_norm": 1.78125, "learning_rate": 8.78e-06, "loss": 0.6839, "mean_token_accuracy": 0.8172036681324244, "num_tokens": 12591366.0, "step": 440 }, { "entropy": 0.7228720126673579, "epoch": 0.72, "grad_norm": 1.7421875, "learning_rate": 8.98e-06, "loss": 0.6945, "mean_token_accuracy": 0.8145164046436548, "num_tokens": 12869618.0, "step": 450 }, { "entropy": 0.7052439017221331, "epoch": 0.736, "grad_norm": 1.75, "learning_rate": 9.180000000000002e-06, "loss": 0.6866, "mean_token_accuracy": 0.8176059562712907, "num_tokens": 13156311.0, "step": 460 }, { "entropy": 0.692553037032485, "epoch": 0.752, "grad_norm": 1.5625, "learning_rate": 9.38e-06, "loss": 0.6644, "mean_token_accuracy": 0.821098442748189, "num_tokens": 13438911.0, "step": 470 }, { "entropy": 0.6714967370033265, "epoch": 0.768, "grad_norm": 1.3203125, "learning_rate": 9.58e-06, "loss": 0.6595, "mean_token_accuracy": 0.825907539948821, "num_tokens": 13735397.0, "step": 480 }, { "entropy": 0.7148594724014401, "epoch": 0.784, "grad_norm": 1.7890625, "learning_rate": 9.780000000000001e-06, "loss": 0.6954, "mean_token_accuracy": 0.8156244982033968, "num_tokens": 14024497.0, "step": 490 }, { "entropy": 0.7110015576705336, "epoch": 0.8, "grad_norm": 1.6328125, "learning_rate": 9.980000000000001e-06, "loss": 0.69, "mean_token_accuracy": 0.8156023971736431, "num_tokens": 14316427.0, "step": 500 }, { "epoch": 0.8, "eval_math_entropy": 0.7275117125511169, "eval_math_loss": 0.7106672525405884, "eval_math_mean_token_accuracy": 0.8132652158737183, "eval_math_num_tokens": 14316427.0, "eval_math_runtime": 35.7797, "eval_math_samples_per_second": 13.974, "eval_math_steps_per_second": 3.494, "step": 500 }, { "epoch": 0.8, "eval_physics_entropy": 0.6752480027675629, "eval_physics_loss": 0.6474179029464722, "eval_physics_mean_token_accuracy": 0.8222041974067688, "eval_physics_num_tokens": 14316427.0, "eval_physics_runtime": 41.1592, "eval_physics_samples_per_second": 12.148, "eval_physics_steps_per_second": 3.037, "step": 500 }, { "entropy": 0.7031571570783853, "epoch": 0.816, "grad_norm": 1.7421875, "learning_rate": 1.018e-05, "loss": 0.6756, "mean_token_accuracy": 0.8171336345374585, "num_tokens": 14607136.0, "step": 510 }, { "entropy": 0.693414007127285, "epoch": 0.832, "grad_norm": 1.5859375, "learning_rate": 1.038e-05, "loss": 0.6706, "mean_token_accuracy": 0.8211553748697042, "num_tokens": 14894084.0, "step": 520 }, { "entropy": 0.7212638273835182, "epoch": 0.848, "grad_norm": 1.59375, "learning_rate": 1.0580000000000002e-05, "loss": 0.6965, "mean_token_accuracy": 0.8145442601293326, "num_tokens": 15177039.0, "step": 530 }, { "entropy": 0.7037423193454743, "epoch": 0.864, "grad_norm": 1.4296875, "learning_rate": 1.0780000000000002e-05, "loss": 0.6824, "mean_token_accuracy": 0.816459146887064, "num_tokens": 15463393.0, "step": 540 }, { "entropy": 0.7084541182965041, "epoch": 0.88, "grad_norm": 1.5546875, "learning_rate": 1.0980000000000002e-05, "loss": 0.6861, "mean_token_accuracy": 0.8153413504362106, "num_tokens": 15747943.0, "step": 550 }, { "entropy": 0.7014794830232859, "epoch": 0.896, "grad_norm": 1.5078125, "learning_rate": 1.1180000000000001e-05, "loss": 0.6844, "mean_token_accuracy": 0.8173291139304638, "num_tokens": 16027931.0, "step": 560 }, { "entropy": 0.6914853570982814, "epoch": 0.912, "grad_norm": 1.546875, "learning_rate": 1.138e-05, "loss": 0.6643, "mean_token_accuracy": 0.8196637153625488, "num_tokens": 16317127.0, "step": 570 }, { "entropy": 0.6866581376641989, "epoch": 0.928, "grad_norm": 1.46875, "learning_rate": 1.1580000000000001e-05, "loss": 0.661, "mean_token_accuracy": 0.8199340119957924, "num_tokens": 16598757.0, "step": 580 }, { "entropy": 0.7026519874110818, "epoch": 0.944, "grad_norm": 7.0625, "learning_rate": 1.178e-05, "loss": 0.6838, "mean_token_accuracy": 0.8174264524132013, "num_tokens": 16882236.0, "step": 590 }, { "entropy": 0.7053765447810292, "epoch": 0.96, "grad_norm": 1.515625, "learning_rate": 1.198e-05, "loss": 0.6832, "mean_token_accuracy": 0.8171489015221596, "num_tokens": 17169495.0, "step": 600 }, { "epoch": 0.96, "eval_math_entropy": 0.7025088634490967, "eval_math_loss": 0.6926642656326294, "eval_math_mean_token_accuracy": 0.8157670006752015, "eval_math_num_tokens": 17169495.0, "eval_math_runtime": 35.7558, "eval_math_samples_per_second": 13.984, "eval_math_steps_per_second": 3.496, "step": 600 }, { "epoch": 0.96, "eval_physics_entropy": 0.6707950072288513, "eval_physics_loss": 0.6470632553100586, "eval_physics_mean_token_accuracy": 0.8212249627113343, "eval_physics_num_tokens": 17169495.0, "eval_physics_runtime": 41.7459, "eval_physics_samples_per_second": 11.977, "eval_physics_steps_per_second": 2.994, "step": 600 }, { "entropy": 0.684873866662383, "epoch": 0.976, "grad_norm": 1.8515625, "learning_rate": 1.218e-05, "loss": 0.6671, "mean_token_accuracy": 0.8196386702358722, "num_tokens": 17454147.0, "step": 610 }, { "entropy": 0.7006405493244529, "epoch": 0.992, "grad_norm": 1.5390625, "learning_rate": 1.2380000000000002e-05, "loss": 0.672, "mean_token_accuracy": 0.8165230687707663, "num_tokens": 17742596.0, "step": 620 }, { "entropy": 0.6851861752569676, "epoch": 1.008, "grad_norm": 1.3828125, "learning_rate": 1.2580000000000002e-05, "loss": 0.6635, "mean_token_accuracy": 0.8197994366288185, "num_tokens": 18033540.0, "step": 630 }, { "entropy": 0.6624577900394797, "epoch": 1.024, "grad_norm": 1.5, "learning_rate": 1.2780000000000001e-05, "loss": 0.6405, "mean_token_accuracy": 0.823651035502553, "num_tokens": 18316346.0, "step": 640 }, { "entropy": 0.6590202970430254, "epoch": 1.04, "grad_norm": 1.6484375, "learning_rate": 1.2980000000000001e-05, "loss": 0.6392, "mean_token_accuracy": 0.8249083694070578, "num_tokens": 18595230.0, "step": 650 }, { "entropy": 0.6720681777223945, "epoch": 1.056, "grad_norm": 1.5625, "learning_rate": 1.3180000000000001e-05, "loss": 0.6481, "mean_token_accuracy": 0.8219482194632292, "num_tokens": 18885547.0, "step": 660 }, { "entropy": 0.666364430822432, "epoch": 1.072, "grad_norm": 1.5625, "learning_rate": 1.3380000000000002e-05, "loss": 0.6453, "mean_token_accuracy": 0.821395493671298, "num_tokens": 19169083.0, "step": 670 }, { "entropy": 0.6612174535170198, "epoch": 1.088, "grad_norm": 1.515625, "learning_rate": 1.3580000000000002e-05, "loss": 0.6328, "mean_token_accuracy": 0.823925781622529, "num_tokens": 19461465.0, "step": 680 }, { "entropy": 0.6591472556814552, "epoch": 1.104, "grad_norm": 1.3125, "learning_rate": 1.378e-05, "loss": 0.6414, "mean_token_accuracy": 0.8235542017966508, "num_tokens": 19755027.0, "step": 690 }, { "entropy": 0.6446556953713298, "epoch": 1.12, "grad_norm": 1.5390625, "learning_rate": 1.398e-05, "loss": 0.6235, "mean_token_accuracy": 0.8280277159065008, "num_tokens": 20043293.0, "step": 700 }, { "epoch": 1.12, "eval_math_entropy": 0.6619428229331971, "eval_math_loss": 0.6814246773719788, "eval_math_mean_token_accuracy": 0.8176272907257081, "eval_math_num_tokens": 20043293.0, "eval_math_runtime": 35.7663, "eval_math_samples_per_second": 13.98, "eval_math_steps_per_second": 3.495, "step": 700 }, { "epoch": 1.12, "eval_physics_entropy": 0.6304002203941346, "eval_physics_loss": 0.6498542428016663, "eval_physics_mean_token_accuracy": 0.8209347081184387, "eval_physics_num_tokens": 20043293.0, "eval_physics_runtime": 41.4297, "eval_physics_samples_per_second": 12.069, "eval_physics_steps_per_second": 3.017, "step": 700 }, { "entropy": 0.6416833782568574, "epoch": 1.1360000000000001, "grad_norm": 1.46875, "learning_rate": 1.418e-05, "loss": 0.6298, "mean_token_accuracy": 0.8263315539807081, "num_tokens": 20323010.0, "step": 710 }, { "entropy": 0.6587465461343527, "epoch": 1.152, "grad_norm": 1.578125, "learning_rate": 1.4380000000000001e-05, "loss": 0.6376, "mean_token_accuracy": 0.8255084995180368, "num_tokens": 20613266.0, "step": 720 }, { "entropy": 0.6476276513189078, "epoch": 1.168, "grad_norm": 1.40625, "learning_rate": 1.4580000000000001e-05, "loss": 0.6316, "mean_token_accuracy": 0.8264493472874165, "num_tokens": 20910404.0, "step": 730 }, { "entropy": 0.6569468161091209, "epoch": 1.184, "grad_norm": 1.546875, "learning_rate": 1.478e-05, "loss": 0.6336, "mean_token_accuracy": 0.8247423082590103, "num_tokens": 21200197.0, "step": 740 }, { "entropy": 0.6399336410686374, "epoch": 1.2, "grad_norm": 1.40625, "learning_rate": 1.498e-05, "loss": 0.622, "mean_token_accuracy": 0.8271243523806333, "num_tokens": 21496441.0, "step": 750 }, { "entropy": 0.6582916142418981, "epoch": 1.216, "grad_norm": 1.609375, "learning_rate": 1.5180000000000002e-05, "loss": 0.6353, "mean_token_accuracy": 0.8234689589589834, "num_tokens": 21778030.0, "step": 760 }, { "entropy": 0.637734330072999, "epoch": 1.232, "grad_norm": 1.5703125, "learning_rate": 1.5380000000000002e-05, "loss": 0.6159, "mean_token_accuracy": 0.8288460947573185, "num_tokens": 22060851.0, "step": 770 }, { "entropy": 0.636210915632546, "epoch": 1.248, "grad_norm": 1.5078125, "learning_rate": 1.5580000000000003e-05, "loss": 0.6165, "mean_token_accuracy": 0.82775485701859, "num_tokens": 22348738.0, "step": 780 }, { "entropy": 0.6564677763730288, "epoch": 1.264, "grad_norm": 1.3671875, "learning_rate": 1.578e-05, "loss": 0.6349, "mean_token_accuracy": 0.8237839676439762, "num_tokens": 22635039.0, "step": 790 }, { "entropy": 0.6571361353620887, "epoch": 1.28, "grad_norm": 1.421875, "learning_rate": 1.5980000000000003e-05, "loss": 0.6366, "mean_token_accuracy": 0.8244204126298428, "num_tokens": 22915190.0, "step": 800 }, { "epoch": 1.28, "eval_math_entropy": 0.6791466112136841, "eval_math_loss": 0.669770359992981, "eval_math_mean_token_accuracy": 0.8196616005897522, "eval_math_num_tokens": 22915190.0, "eval_math_runtime": 35.7574, "eval_math_samples_per_second": 13.983, "eval_math_steps_per_second": 3.496, "step": 800 }, { "epoch": 1.28, "eval_physics_entropy": 0.6547831742763519, "eval_physics_loss": 0.650165319442749, "eval_physics_mean_token_accuracy": 0.82009166097641, "eval_physics_num_tokens": 22915190.0, "eval_physics_runtime": 41.4354, "eval_physics_samples_per_second": 12.067, "eval_physics_steps_per_second": 3.017, "step": 800 }, { "entropy": 0.6429510954767466, "epoch": 1.296, "grad_norm": 1.40625, "learning_rate": 1.618e-05, "loss": 0.6172, "mean_token_accuracy": 0.8271825641393662, "num_tokens": 23194947.0, "step": 810 }, { "entropy": 0.6526322312653065, "epoch": 1.312, "grad_norm": 1.5390625, "learning_rate": 1.638e-05, "loss": 0.6414, "mean_token_accuracy": 0.8243110898882151, "num_tokens": 23483496.0, "step": 820 }, { "entropy": 0.6679502466693521, "epoch": 1.328, "grad_norm": 1.6171875, "learning_rate": 1.658e-05, "loss": 0.6441, "mean_token_accuracy": 0.8223706830292941, "num_tokens": 23762589.0, "step": 830 }, { "entropy": 0.6403571154922247, "epoch": 1.3439999999999999, "grad_norm": 1.4921875, "learning_rate": 1.6780000000000002e-05, "loss": 0.6222, "mean_token_accuracy": 0.8268204662948847, "num_tokens": 24041497.0, "step": 840 }, { "entropy": 0.6487369466573, "epoch": 1.3599999999999999, "grad_norm": 1.203125, "learning_rate": 1.698e-05, "loss": 0.6282, "mean_token_accuracy": 0.8273422639817, "num_tokens": 24330591.0, "step": 850 }, { "entropy": 0.688577077165246, "epoch": 1.376, "grad_norm": 1.4453125, "learning_rate": 1.718e-05, "loss": 0.6651, "mean_token_accuracy": 0.8164406325668097, "num_tokens": 24611420.0, "step": 860 }, { "entropy": 0.643337251059711, "epoch": 1.392, "grad_norm": 1.4375, "learning_rate": 1.7380000000000003e-05, "loss": 0.6209, "mean_token_accuracy": 0.825714922696352, "num_tokens": 24894694.0, "step": 870 }, { "entropy": 0.6371515756472945, "epoch": 1.408, "grad_norm": 1.453125, "learning_rate": 1.758e-05, "loss": 0.6156, "mean_token_accuracy": 0.8278428696095943, "num_tokens": 25184946.0, "step": 880 }, { "entropy": 0.6312845427542925, "epoch": 1.424, "grad_norm": 1.25, "learning_rate": 1.7780000000000003e-05, "loss": 0.615, "mean_token_accuracy": 0.8290112767368555, "num_tokens": 25474746.0, "step": 890 }, { "entropy": 0.6522130774334073, "epoch": 1.44, "grad_norm": 1.3671875, "learning_rate": 1.798e-05, "loss": 0.6295, "mean_token_accuracy": 0.8248222030699253, "num_tokens": 25758550.0, "step": 900 }, { "epoch": 1.44, "eval_math_entropy": 0.6579540917873382, "eval_math_loss": 0.6607276797294617, "eval_math_mean_token_accuracy": 0.8207882242202759, "eval_math_num_tokens": 25758550.0, "eval_math_runtime": 35.7442, "eval_math_samples_per_second": 13.988, "eval_math_steps_per_second": 3.497, "step": 900 }, { "epoch": 1.44, "eval_physics_entropy": 0.6424285123348236, "eval_physics_loss": 0.651524543762207, "eval_physics_mean_token_accuracy": 0.8197560949325562, "eval_physics_num_tokens": 25758550.0, "eval_physics_runtime": 41.435, "eval_physics_samples_per_second": 12.067, "eval_physics_steps_per_second": 3.017, "step": 900 }, { "entropy": 0.6359886834397912, "epoch": 1.456, "grad_norm": 1.3203125, "learning_rate": 1.8180000000000002e-05, "loss": 0.6177, "mean_token_accuracy": 0.8268891926854849, "num_tokens": 26039862.0, "step": 910 }, { "entropy": 0.6429944572970271, "epoch": 1.472, "grad_norm": 1.28125, "learning_rate": 1.8380000000000004e-05, "loss": 0.6266, "mean_token_accuracy": 0.8256016962230206, "num_tokens": 26318666.0, "step": 920 }, { "entropy": 0.666933044232428, "epoch": 1.488, "grad_norm": 1.265625, "learning_rate": 1.858e-05, "loss": 0.6455, "mean_token_accuracy": 0.8214054699987173, "num_tokens": 26594867.0, "step": 930 }, { "entropy": 0.6266062622889876, "epoch": 1.504, "grad_norm": 1.5, "learning_rate": 1.878e-05, "loss": 0.6092, "mean_token_accuracy": 0.8303067740052938, "num_tokens": 26887233.0, "step": 940 }, { "entropy": 0.659474827721715, "epoch": 1.52, "grad_norm": 1.140625, "learning_rate": 1.898e-05, "loss": 0.6344, "mean_token_accuracy": 0.8236033659428358, "num_tokens": 27177448.0, "step": 950 }, { "entropy": 0.6371477670967579, "epoch": 1.536, "grad_norm": 1.1484375, "learning_rate": 1.918e-05, "loss": 0.6245, "mean_token_accuracy": 0.8263927459716797, "num_tokens": 27467857.0, "step": 960 }, { "entropy": 0.6363119596615434, "epoch": 1.552, "grad_norm": 1.265625, "learning_rate": 1.938e-05, "loss": 0.6172, "mean_token_accuracy": 0.8277775753289461, "num_tokens": 27755138.0, "step": 970 }, { "entropy": 0.625205036252737, "epoch": 1.568, "grad_norm": 1.15625, "learning_rate": 1.9580000000000002e-05, "loss": 0.6047, "mean_token_accuracy": 0.8324479281902313, "num_tokens": 28049363.0, "step": 980 }, { "entropy": 0.6341174798086285, "epoch": 1.584, "grad_norm": 1.375, "learning_rate": 1.978e-05, "loss": 0.6153, "mean_token_accuracy": 0.8282931160181761, "num_tokens": 28337890.0, "step": 990 }, { "entropy": 0.6248919799923897, "epoch": 1.6, "grad_norm": 1.3359375, "learning_rate": 1.9980000000000002e-05, "loss": 0.6112, "mean_token_accuracy": 0.827129240334034, "num_tokens": 28626068.0, "step": 1000 }, { "epoch": 1.6, "eval_math_entropy": 0.6310200927257538, "eval_math_loss": 0.651292085647583, "eval_math_mean_token_accuracy": 0.8225455293655396, "eval_math_num_tokens": 28626068.0, "eval_math_runtime": 35.7544, "eval_math_samples_per_second": 13.984, "eval_math_steps_per_second": 3.496, "step": 1000 }, { "epoch": 1.6, "eval_physics_entropy": 0.6265229551792145, "eval_physics_loss": 0.6552274227142334, "eval_physics_mean_token_accuracy": 0.8185877275466918, "eval_physics_num_tokens": 28626068.0, "eval_physics_runtime": 41.1356, "eval_physics_samples_per_second": 12.155, "eval_physics_steps_per_second": 3.039, "step": 1000 }, { "entropy": 0.6397603360936046, "epoch": 1.616, "grad_norm": 1.25, "learning_rate": 1.9980000000000002e-05, "loss": 0.6266, "mean_token_accuracy": 0.8261015623807907, "num_tokens": 28913208.0, "step": 1010 }, { "entropy": 0.6517996810376644, "epoch": 1.6320000000000001, "grad_norm": 1.265625, "learning_rate": 1.995777777777778e-05, "loss": 0.6284, "mean_token_accuracy": 0.8228654317557812, "num_tokens": 29188917.0, "step": 1020 }, { "entropy": 0.6239277983084321, "epoch": 1.6480000000000001, "grad_norm": 1.2421875, "learning_rate": 1.9935555555555557e-05, "loss": 0.6068, "mean_token_accuracy": 0.8318834796547889, "num_tokens": 29477292.0, "step": 1030 }, { "entropy": 0.6378339532762766, "epoch": 1.6640000000000001, "grad_norm": 1.2109375, "learning_rate": 1.9913333333333335e-05, "loss": 0.6129, "mean_token_accuracy": 0.8274775009602309, "num_tokens": 29772480.0, "step": 1040 }, { "entropy": 0.64110322073102, "epoch": 1.6800000000000002, "grad_norm": 1.15625, "learning_rate": 1.9891111111111112e-05, "loss": 0.6244, "mean_token_accuracy": 0.8272217728197575, "num_tokens": 30061007.0, "step": 1050 }, { "entropy": 0.6449864653870463, "epoch": 1.696, "grad_norm": 1.1875, "learning_rate": 1.986888888888889e-05, "loss": 0.6243, "mean_token_accuracy": 0.8258783508092165, "num_tokens": 30344415.0, "step": 1060 }, { "entropy": 0.6212725475430488, "epoch": 1.712, "grad_norm": 1.1640625, "learning_rate": 1.9846666666666668e-05, "loss": 0.6076, "mean_token_accuracy": 0.8308158092200756, "num_tokens": 30640891.0, "step": 1070 }, { "entropy": 0.618477713689208, "epoch": 1.728, "grad_norm": 1.2109375, "learning_rate": 1.9824444444444445e-05, "loss": 0.5981, "mean_token_accuracy": 0.8317991364747286, "num_tokens": 30921295.0, "step": 1080 }, { "entropy": 0.6253316847607493, "epoch": 1.744, "grad_norm": 1.3125, "learning_rate": 1.9802222222222226e-05, "loss": 0.608, "mean_token_accuracy": 0.8302719250321389, "num_tokens": 31206375.0, "step": 1090 }, { "entropy": 0.6203237606212497, "epoch": 1.76, "grad_norm": 1.140625, "learning_rate": 1.978e-05, "loss": 0.6016, "mean_token_accuracy": 0.829212823137641, "num_tokens": 31491856.0, "step": 1100 }, { "epoch": 1.76, "eval_math_entropy": 0.6470205163955689, "eval_math_loss": 0.6425853371620178, "eval_math_mean_token_accuracy": 0.8245493578910827, "eval_math_num_tokens": 31491856.0, "eval_math_runtime": 35.7795, "eval_math_samples_per_second": 13.974, "eval_math_steps_per_second": 3.494, "step": 1100 }, { "epoch": 1.76, "eval_physics_entropy": 0.6618543210029602, "eval_physics_loss": 0.6551723480224609, "eval_physics_mean_token_accuracy": 0.8183454179763794, "eval_physics_num_tokens": 31491856.0, "eval_physics_runtime": 41.448, "eval_physics_samples_per_second": 12.063, "eval_physics_steps_per_second": 3.016, "step": 1100 }, { "entropy": 0.6285459484905005, "epoch": 1.776, "grad_norm": 1.203125, "learning_rate": 1.975777777777778e-05, "loss": 0.608, "mean_token_accuracy": 0.8288080658763647, "num_tokens": 31782829.0, "step": 1110 }, { "entropy": 0.6362737115472555, "epoch": 1.792, "grad_norm": 1.1484375, "learning_rate": 1.9735555555555556e-05, "loss": 0.6168, "mean_token_accuracy": 0.8268269985914231, "num_tokens": 32070187.0, "step": 1120 }, { "entropy": 0.6320221189409494, "epoch": 1.808, "grad_norm": 1.203125, "learning_rate": 1.9713333333333337e-05, "loss": 0.6148, "mean_token_accuracy": 0.8273419640958309, "num_tokens": 32355072.0, "step": 1130 }, { "entropy": 0.6012085109949112, "epoch": 1.8239999999999998, "grad_norm": 1.0859375, "learning_rate": 1.969111111111111e-05, "loss": 0.5802, "mean_token_accuracy": 0.8352209012955427, "num_tokens": 32634013.0, "step": 1140 }, { "entropy": 0.6171128546819091, "epoch": 1.8399999999999999, "grad_norm": 1.328125, "learning_rate": 1.9668888888888892e-05, "loss": 0.6044, "mean_token_accuracy": 0.8311630170792341, "num_tokens": 32917222.0, "step": 1150 }, { "entropy": 0.6315351065248251, "epoch": 1.8559999999999999, "grad_norm": 1.171875, "learning_rate": 1.9646666666666666e-05, "loss": 0.6066, "mean_token_accuracy": 0.8292891420423985, "num_tokens": 33207147.0, "step": 1160 }, { "entropy": 0.6153346884995698, "epoch": 1.8719999999999999, "grad_norm": 1.234375, "learning_rate": 1.9624444444444447e-05, "loss": 0.5954, "mean_token_accuracy": 0.8320576064288616, "num_tokens": 33496572.0, "step": 1170 }, { "entropy": 0.624875632673502, "epoch": 1.888, "grad_norm": 1.203125, "learning_rate": 1.9602222222222225e-05, "loss": 0.6059, "mean_token_accuracy": 0.8299812860786915, "num_tokens": 33775788.0, "step": 1180 }, { "entropy": 0.6256145890802145, "epoch": 1.904, "grad_norm": 1.1640625, "learning_rate": 1.9580000000000002e-05, "loss": 0.6084, "mean_token_accuracy": 0.8293462209403515, "num_tokens": 34052322.0, "step": 1190 }, { "entropy": 0.6057112148031593, "epoch": 1.92, "grad_norm": 1.109375, "learning_rate": 1.955777777777778e-05, "loss": 0.5888, "mean_token_accuracy": 0.8329556312412023, "num_tokens": 34331468.0, "step": 1200 }, { "epoch": 1.92, "eval_math_entropy": 0.6444816522598267, "eval_math_loss": 0.6337655782699585, "eval_math_mean_token_accuracy": 0.8254525041580201, "eval_math_num_tokens": 34331468.0, "eval_math_runtime": 35.7615, "eval_math_samples_per_second": 13.982, "eval_math_steps_per_second": 3.495, "step": 1200 }, { "epoch": 1.92, "eval_physics_entropy": 0.6525136830806733, "eval_physics_loss": 0.6549710035324097, "eval_physics_mean_token_accuracy": 0.8188423981666565, "eval_physics_num_tokens": 34331468.0, "eval_physics_runtime": 41.437, "eval_physics_samples_per_second": 12.067, "eval_physics_steps_per_second": 3.017, "step": 1200 }, { "entropy": 0.622246976941824, "epoch": 1.936, "grad_norm": 1.2109375, "learning_rate": 1.9535555555555557e-05, "loss": 0.6052, "mean_token_accuracy": 0.8293883047997952, "num_tokens": 34612743.0, "step": 1210 }, { "entropy": 0.6145633114501834, "epoch": 1.952, "grad_norm": 1.078125, "learning_rate": 1.9513333333333335e-05, "loss": 0.5899, "mean_token_accuracy": 0.8315575309097767, "num_tokens": 34891115.0, "step": 1220 }, { "entropy": 0.6348631424829364, "epoch": 1.968, "grad_norm": 3.625, "learning_rate": 1.9491111111111113e-05, "loss": 0.6247, "mean_token_accuracy": 0.8266950808465481, "num_tokens": 35179505.0, "step": 1230 }, { "entropy": 0.6054144280031324, "epoch": 1.984, "grad_norm": 1.0703125, "learning_rate": 1.946888888888889e-05, "loss": 0.5878, "mean_token_accuracy": 0.8339846853166819, "num_tokens": 35472596.0, "step": 1240 }, { "entropy": 0.614653673581779, "epoch": 2.0, "grad_norm": 1.109375, "learning_rate": 1.9446666666666668e-05, "loss": 0.5966, "mean_token_accuracy": 0.8319407891482115, "num_tokens": 35772848.0, "step": 1250 }, { "entropy": 0.5460906764492393, "epoch": 2.016, "grad_norm": 1.3515625, "learning_rate": 1.9424444444444446e-05, "loss": 0.5207, "mean_token_accuracy": 0.844809464737773, "num_tokens": 36060330.0, "step": 1260 }, { "entropy": 0.5267174040898681, "epoch": 2.032, "grad_norm": 1.3671875, "learning_rate": 1.9402222222222223e-05, "loss": 0.5098, "mean_token_accuracy": 0.8475256130099297, "num_tokens": 36343894.0, "step": 1270 }, { "entropy": 0.5175346418283879, "epoch": 2.048, "grad_norm": 1.3671875, "learning_rate": 1.938e-05, "loss": 0.501, "mean_token_accuracy": 0.8504213903099298, "num_tokens": 36636410.0, "step": 1280 }, { "entropy": 0.5137943865731358, "epoch": 2.064, "grad_norm": 1.28125, "learning_rate": 1.935777777777778e-05, "loss": 0.4962, "mean_token_accuracy": 0.8507547531276941, "num_tokens": 36925382.0, "step": 1290 }, { "entropy": 0.5208146266639233, "epoch": 2.08, "grad_norm": 1.375, "learning_rate": 1.9335555555555556e-05, "loss": 0.4954, "mean_token_accuracy": 0.849713422730565, "num_tokens": 37208672.0, "step": 1300 }, { "epoch": 2.08, "eval_math_entropy": 0.5398842208385467, "eval_math_loss": 0.6511635780334473, "eval_math_mean_token_accuracy": 0.8244616360664367, "eval_math_num_tokens": 37208672.0, "eval_math_runtime": 35.7792, "eval_math_samples_per_second": 13.975, "eval_math_steps_per_second": 3.494, "step": 1300 }, { "epoch": 2.08, "eval_physics_entropy": 0.5216713752746582, "eval_physics_loss": 0.6896871328353882, "eval_physics_mean_token_accuracy": 0.8157849154472351, "eval_physics_num_tokens": 37208672.0, "eval_physics_runtime": 41.4274, "eval_physics_samples_per_second": 12.069, "eval_physics_steps_per_second": 3.017, "step": 1300 }, { "entropy": 0.5262768002226949, "epoch": 2.096, "grad_norm": 1.359375, "learning_rate": 1.9313333333333334e-05, "loss": 0.5071, "mean_token_accuracy": 0.8485719960182905, "num_tokens": 37491954.0, "step": 1310 }, { "entropy": 0.5144134562462568, "epoch": 2.112, "grad_norm": 1.390625, "learning_rate": 1.9291111111111115e-05, "loss": 0.4932, "mean_token_accuracy": 0.8491108123213053, "num_tokens": 37787033.0, "step": 1320 }, { "entropy": 0.5125698197633028, "epoch": 2.128, "grad_norm": 1.390625, "learning_rate": 1.926888888888889e-05, "loss": 0.4936, "mean_token_accuracy": 0.8515845112502575, "num_tokens": 38068955.0, "step": 1330 }, { "entropy": 0.5147779244929552, "epoch": 2.144, "grad_norm": 1.359375, "learning_rate": 1.924666666666667e-05, "loss": 0.4998, "mean_token_accuracy": 0.8497466515749693, "num_tokens": 38359914.0, "step": 1340 }, { "entropy": 0.5150290129706263, "epoch": 2.16, "grad_norm": 1.28125, "learning_rate": 1.9224444444444444e-05, "loss": 0.4976, "mean_token_accuracy": 0.8506554007530213, "num_tokens": 38649684.0, "step": 1350 }, { "entropy": 0.49578714426606896, "epoch": 2.176, "grad_norm": 1.375, "learning_rate": 1.9202222222222225e-05, "loss": 0.4768, "mean_token_accuracy": 0.8545470163226128, "num_tokens": 38938155.0, "step": 1360 }, { "entropy": 0.5279102198779583, "epoch": 2.192, "grad_norm": 1.2578125, "learning_rate": 1.918e-05, "loss": 0.5109, "mean_token_accuracy": 0.8461268071085215, "num_tokens": 39228800.0, "step": 1370 }, { "entropy": 0.520401804894209, "epoch": 2.208, "grad_norm": 1.4296875, "learning_rate": 1.915777777777778e-05, "loss": 0.5095, "mean_token_accuracy": 0.8481683298945427, "num_tokens": 39513118.0, "step": 1380 }, { "entropy": 0.517220887541771, "epoch": 2.224, "grad_norm": 1.3828125, "learning_rate": 1.9135555555555555e-05, "loss": 0.4947, "mean_token_accuracy": 0.8505345996469259, "num_tokens": 39804212.0, "step": 1390 }, { "entropy": 0.5203588601201773, "epoch": 2.24, "grad_norm": 1.359375, "learning_rate": 1.9113333333333336e-05, "loss": 0.5071, "mean_token_accuracy": 0.8482481308281422, "num_tokens": 40092012.0, "step": 1400 }, { "epoch": 2.24, "eval_math_entropy": 0.5498721191883087, "eval_math_loss": 0.6494505405426025, "eval_math_mean_token_accuracy": 0.8248468618392945, "eval_math_num_tokens": 40092012.0, "eval_math_runtime": 35.7606, "eval_math_samples_per_second": 13.982, "eval_math_steps_per_second": 3.495, "step": 1400 }, { "epoch": 2.24, "eval_physics_entropy": 0.5240244953632355, "eval_physics_loss": 0.6975257992744446, "eval_physics_mean_token_accuracy": 0.8148801970481873, "eval_physics_num_tokens": 40092012.0, "eval_physics_runtime": 41.7753, "eval_physics_samples_per_second": 11.969, "eval_physics_steps_per_second": 2.992, "step": 1400 }, { "entropy": 0.5205017613247037, "epoch": 2.2560000000000002, "grad_norm": 1.3671875, "learning_rate": 1.9091111111111113e-05, "loss": 0.5042, "mean_token_accuracy": 0.8483030397444964, "num_tokens": 40380069.0, "step": 1410 }, { "entropy": 0.5286959325894713, "epoch": 2.2720000000000002, "grad_norm": 1.5625, "learning_rate": 1.906888888888889e-05, "loss": 0.5089, "mean_token_accuracy": 0.8469363551586866, "num_tokens": 40655903.0, "step": 1420 }, { "entropy": 0.5245801825076342, "epoch": 2.288, "grad_norm": 1.421875, "learning_rate": 1.904666666666667e-05, "loss": 0.505, "mean_token_accuracy": 0.8467433623969555, "num_tokens": 40944791.0, "step": 1430 }, { "entropy": 0.5089570162817836, "epoch": 2.304, "grad_norm": 1.453125, "learning_rate": 1.9024444444444446e-05, "loss": 0.4927, "mean_token_accuracy": 0.851346742734313, "num_tokens": 41227146.0, "step": 1440 }, { "entropy": 0.5277796785347164, "epoch": 2.32, "grad_norm": 1.4296875, "learning_rate": 1.9002222222222224e-05, "loss": 0.5143, "mean_token_accuracy": 0.8476031333208084, "num_tokens": 41509322.0, "step": 1450 }, { "entropy": 0.5237356763333082, "epoch": 2.336, "grad_norm": 1.3984375, "learning_rate": 1.898e-05, "loss": 0.5015, "mean_token_accuracy": 0.8484678287059069, "num_tokens": 41792799.0, "step": 1460 }, { "entropy": 0.5347706735134125, "epoch": 2.352, "grad_norm": 1.3828125, "learning_rate": 1.895777777777778e-05, "loss": 0.5169, "mean_token_accuracy": 0.8446083668619394, "num_tokens": 42083080.0, "step": 1470 }, { "entropy": 0.5238756524398923, "epoch": 2.368, "grad_norm": 1.40625, "learning_rate": 1.8935555555555556e-05, "loss": 0.5074, "mean_token_accuracy": 0.8478495571762323, "num_tokens": 42368442.0, "step": 1480 }, { "entropy": 0.5398916637524962, "epoch": 2.384, "grad_norm": 1.7734375, "learning_rate": 1.8913333333333334e-05, "loss": 0.5247, "mean_token_accuracy": 0.8446283016353846, "num_tokens": 42663926.0, "step": 1490 }, { "entropy": 0.5313681181520223, "epoch": 2.4, "grad_norm": 1.6015625, "learning_rate": 1.8891111111111115e-05, "loss": 0.5162, "mean_token_accuracy": 0.8469122361391783, "num_tokens": 42946351.0, "step": 1500 }, { "epoch": 2.4, "eval_math_entropy": 0.5470261330604553, "eval_math_loss": 0.6441261172294617, "eval_math_mean_token_accuracy": 0.8258598875999451, "eval_math_num_tokens": 42946351.0, "eval_math_runtime": 35.7282, "eval_math_samples_per_second": 13.995, "eval_math_steps_per_second": 3.499, "step": 1500 }, { "epoch": 2.4, "eval_physics_entropy": 0.5238613975048065, "eval_physics_loss": 0.6977487802505493, "eval_physics_mean_token_accuracy": 0.81443390417099, "eval_physics_num_tokens": 42946351.0, "eval_physics_runtime": 41.457, "eval_physics_samples_per_second": 12.061, "eval_physics_steps_per_second": 3.015, "step": 1500 }, { "entropy": 0.5377832099795341, "epoch": 2.416, "grad_norm": 1.4609375, "learning_rate": 1.886888888888889e-05, "loss": 0.5215, "mean_token_accuracy": 0.8441088248044253, "num_tokens": 43227782.0, "step": 1510 }, { "entropy": 0.5219327821396291, "epoch": 2.432, "grad_norm": 1.3671875, "learning_rate": 1.884666666666667e-05, "loss": 0.5065, "mean_token_accuracy": 0.8481958381831646, "num_tokens": 43511939.0, "step": 1520 }, { "entropy": 0.5146825276315212, "epoch": 2.448, "grad_norm": 1.53125, "learning_rate": 1.8824444444444445e-05, "loss": 0.4976, "mean_token_accuracy": 0.8503648530691862, "num_tokens": 43811005.0, "step": 1530 }, { "entropy": 0.5279206298291683, "epoch": 2.464, "grad_norm": 1.484375, "learning_rate": 1.8802222222222226e-05, "loss": 0.5124, "mean_token_accuracy": 0.8466742359101772, "num_tokens": 44106223.0, "step": 1540 }, { "entropy": 0.548205547593534, "epoch": 2.48, "grad_norm": 1.515625, "learning_rate": 1.878e-05, "loss": 0.5272, "mean_token_accuracy": 0.8421384803950787, "num_tokens": 44379095.0, "step": 1550 }, { "entropy": 0.5311242727562785, "epoch": 2.496, "grad_norm": 1.3515625, "learning_rate": 1.875777777777778e-05, "loss": 0.5146, "mean_token_accuracy": 0.8455508589744568, "num_tokens": 44670316.0, "step": 1560 }, { "entropy": 0.5254273321479559, "epoch": 2.512, "grad_norm": 1.4765625, "learning_rate": 1.873555555555556e-05, "loss": 0.5098, "mean_token_accuracy": 0.8476663187146187, "num_tokens": 44952877.0, "step": 1570 }, { "entropy": 0.5215749599039554, "epoch": 2.528, "grad_norm": 1.390625, "learning_rate": 1.8713333333333336e-05, "loss": 0.5036, "mean_token_accuracy": 0.8488380990922451, "num_tokens": 45237653.0, "step": 1580 }, { "entropy": 0.5184456476941705, "epoch": 2.544, "grad_norm": 1.46875, "learning_rate": 1.8691111111111114e-05, "loss": 0.5051, "mean_token_accuracy": 0.8494234204292297, "num_tokens": 45524866.0, "step": 1590 }, { "entropy": 0.5188256312161684, "epoch": 2.56, "grad_norm": 1.3359375, "learning_rate": 1.866888888888889e-05, "loss": 0.4994, "mean_token_accuracy": 0.8480058163404465, "num_tokens": 45803783.0, "step": 1600 }, { "epoch": 2.56, "eval_math_entropy": 0.5415253615379334, "eval_math_loss": 0.6402944326400757, "eval_math_mean_token_accuracy": 0.8268161854743957, "eval_math_num_tokens": 45803783.0, "eval_math_runtime": 35.8351, "eval_math_samples_per_second": 13.953, "eval_math_steps_per_second": 3.488, "step": 1600 }, { "epoch": 2.56, "eval_physics_entropy": 0.5146132915019989, "eval_physics_loss": 0.7024555802345276, "eval_physics_mean_token_accuracy": 0.8143429985046386, "eval_physics_num_tokens": 45803783.0, "eval_physics_runtime": 41.4942, "eval_physics_samples_per_second": 12.05, "eval_physics_steps_per_second": 3.012, "step": 1600 }, { "entropy": 0.5206789819523692, "epoch": 2.576, "grad_norm": 1.40625, "learning_rate": 1.864666666666667e-05, "loss": 0.5037, "mean_token_accuracy": 0.8492428727447987, "num_tokens": 46090713.0, "step": 1610 }, { "entropy": 0.5139110781252384, "epoch": 2.592, "grad_norm": 1.25, "learning_rate": 1.8624444444444446e-05, "loss": 0.4983, "mean_token_accuracy": 0.8500846106559038, "num_tokens": 46384084.0, "step": 1620 }, { "entropy": 0.5300323162227869, "epoch": 2.608, "grad_norm": 1.59375, "learning_rate": 1.8602222222222224e-05, "loss": 0.5166, "mean_token_accuracy": 0.8454120934009552, "num_tokens": 46667552.0, "step": 1630 }, { "entropy": 0.498782429471612, "epoch": 2.624, "grad_norm": 1.421875, "learning_rate": 1.858e-05, "loss": 0.4798, "mean_token_accuracy": 0.8554852791130543, "num_tokens": 46961124.0, "step": 1640 }, { "entropy": 0.5273189852014184, "epoch": 2.64, "grad_norm": 1.46875, "learning_rate": 1.855777777777778e-05, "loss": 0.5138, "mean_token_accuracy": 0.8468208122998476, "num_tokens": 47245326.0, "step": 1650 }, { "entropy": 0.5071797709912061, "epoch": 2.656, "grad_norm": 1.5, "learning_rate": 1.8535555555555557e-05, "loss": 0.4904, "mean_token_accuracy": 0.8513832915574312, "num_tokens": 47527347.0, "step": 1660 }, { "entropy": 0.5276256233453751, "epoch": 2.672, "grad_norm": 1.6484375, "learning_rate": 1.8513333333333335e-05, "loss": 0.5105, "mean_token_accuracy": 0.8466553438454867, "num_tokens": 47808167.0, "step": 1670 }, { "entropy": 0.5247279232367873, "epoch": 2.6879999999999997, "grad_norm": 1.390625, "learning_rate": 1.8491111111111112e-05, "loss": 0.5049, "mean_token_accuracy": 0.8479447506368161, "num_tokens": 48092035.0, "step": 1680 }, { "entropy": 0.5260777238756418, "epoch": 2.7039999999999997, "grad_norm": 1.5234375, "learning_rate": 1.846888888888889e-05, "loss": 0.5153, "mean_token_accuracy": 0.8464129194617271, "num_tokens": 48386231.0, "step": 1690 }, { "entropy": 0.5193733531981707, "epoch": 2.7199999999999998, "grad_norm": 1.4609375, "learning_rate": 1.8446666666666667e-05, "loss": 0.5044, "mean_token_accuracy": 0.8482546083629131, "num_tokens": 48663262.0, "step": 1700 }, { "epoch": 2.7199999999999998, "eval_math_entropy": 0.555855593919754, "eval_math_loss": 0.6335127949714661, "eval_math_mean_token_accuracy": 0.8283462662696839, "eval_math_num_tokens": 48663262.0, "eval_math_runtime": 35.7836, "eval_math_samples_per_second": 13.973, "eval_math_steps_per_second": 3.493, "step": 1700 }, { "epoch": 2.7199999999999998, "eval_physics_entropy": 0.5213737454414368, "eval_physics_loss": 0.6999514698982239, "eval_physics_mean_token_accuracy": 0.8152164473533631, "eval_physics_num_tokens": 48663262.0, "eval_physics_runtime": 41.4953, "eval_physics_samples_per_second": 12.05, "eval_physics_steps_per_second": 3.012, "step": 1700 }, { "entropy": 0.5167077284306287, "epoch": 2.7359999999999998, "grad_norm": 1.5546875, "learning_rate": 1.842444444444445e-05, "loss": 0.5014, "mean_token_accuracy": 0.8498601946979761, "num_tokens": 48949456.0, "step": 1710 }, { "entropy": 0.522574995085597, "epoch": 2.752, "grad_norm": 1.4921875, "learning_rate": 1.8402222222222223e-05, "loss": 0.5015, "mean_token_accuracy": 0.8494253471493721, "num_tokens": 49235751.0, "step": 1720 }, { "entropy": 0.5236585384234786, "epoch": 2.768, "grad_norm": 1.3515625, "learning_rate": 1.8380000000000004e-05, "loss": 0.5081, "mean_token_accuracy": 0.8480564054101706, "num_tokens": 49524628.0, "step": 1730 }, { "entropy": 0.536912607960403, "epoch": 2.784, "grad_norm": 1.484375, "learning_rate": 1.8357777777777778e-05, "loss": 0.5166, "mean_token_accuracy": 0.8444275613874197, "num_tokens": 49799604.0, "step": 1740 }, { "entropy": 0.5194279940798878, "epoch": 2.8, "grad_norm": 1.234375, "learning_rate": 1.833555555555556e-05, "loss": 0.5044, "mean_token_accuracy": 0.8491090513765812, "num_tokens": 50079307.0, "step": 1750 }, { "entropy": 0.5226334543898702, "epoch": 2.816, "grad_norm": 1.46875, "learning_rate": 1.8313333333333333e-05, "loss": 0.5013, "mean_token_accuracy": 0.8487468950450421, "num_tokens": 50372216.0, "step": 1760 }, { "entropy": 0.5100100792944431, "epoch": 2.832, "grad_norm": 1.5390625, "learning_rate": 1.8291111111111114e-05, "loss": 0.4977, "mean_token_accuracy": 0.8502487774938345, "num_tokens": 50657211.0, "step": 1770 }, { "entropy": 0.5339175367727875, "epoch": 2.848, "grad_norm": 1.3828125, "learning_rate": 1.8268888888888888e-05, "loss": 0.5176, "mean_token_accuracy": 0.8462332025170326, "num_tokens": 50946503.0, "step": 1780 }, { "entropy": 0.5188839716836811, "epoch": 2.864, "grad_norm": 1.5234375, "learning_rate": 1.824666666666667e-05, "loss": 0.5046, "mean_token_accuracy": 0.8482739225029945, "num_tokens": 51229298.0, "step": 1790 }, { "entropy": 0.52184556145221, "epoch": 2.88, "grad_norm": 1.4609375, "learning_rate": 1.8224444444444447e-05, "loss": 0.5, "mean_token_accuracy": 0.8485745534300804, "num_tokens": 51509622.0, "step": 1800 }, { "epoch": 2.88, "eval_math_entropy": 0.5322999174594879, "eval_math_loss": 0.6332678198814392, "eval_math_mean_token_accuracy": 0.8286352276802063, "eval_math_num_tokens": 51509622.0, "eval_math_runtime": 35.803, "eval_math_samples_per_second": 13.965, "eval_math_steps_per_second": 3.491, "step": 1800 }, { "epoch": 2.88, "eval_physics_entropy": 0.5120384588241577, "eval_physics_loss": 0.7020947337150574, "eval_physics_mean_token_accuracy": 0.8149435911178589, "eval_physics_num_tokens": 51509622.0, "eval_physics_runtime": 41.5069, "eval_physics_samples_per_second": 12.046, "eval_physics_steps_per_second": 3.012, "step": 1800 }, { "entropy": 0.5138611877337098, "epoch": 2.896, "grad_norm": 1.4765625, "learning_rate": 1.8202222222222225e-05, "loss": 0.496, "mean_token_accuracy": 0.8509018927812576, "num_tokens": 51790856.0, "step": 1810 }, { "entropy": 0.5193969309329987, "epoch": 2.912, "grad_norm": 1.484375, "learning_rate": 1.8180000000000002e-05, "loss": 0.5039, "mean_token_accuracy": 0.8491050932556391, "num_tokens": 52074393.0, "step": 1820 }, { "entropy": 0.5282592326402664, "epoch": 2.928, "grad_norm": 1.4140625, "learning_rate": 1.815777777777778e-05, "loss": 0.514, "mean_token_accuracy": 0.8482961695641279, "num_tokens": 52366467.0, "step": 1830 }, { "entropy": 0.512021827697754, "epoch": 2.944, "grad_norm": 1.4375, "learning_rate": 1.8135555555555557e-05, "loss": 0.4995, "mean_token_accuracy": 0.8494243275374174, "num_tokens": 52657863.0, "step": 1840 }, { "entropy": 0.5220472222194076, "epoch": 2.96, "grad_norm": 1.40625, "learning_rate": 1.8113333333333335e-05, "loss": 0.5045, "mean_token_accuracy": 0.848219645395875, "num_tokens": 52947183.0, "step": 1850 }, { "entropy": 0.5195147603750229, "epoch": 2.976, "grad_norm": 1.3203125, "learning_rate": 1.8091111111111113e-05, "loss": 0.5009, "mean_token_accuracy": 0.8488207392394542, "num_tokens": 53226984.0, "step": 1860 }, { "entropy": 0.5123168766498566, "epoch": 2.992, "grad_norm": 1.3828125, "learning_rate": 1.806888888888889e-05, "loss": 0.4941, "mean_token_accuracy": 0.8505234856158495, "num_tokens": 53515204.0, "step": 1870 }, { "entropy": 0.4752411070279777, "epoch": 3.008, "grad_norm": 1.875, "learning_rate": 1.8046666666666668e-05, "loss": 0.4333, "mean_token_accuracy": 0.8668791756033898, "num_tokens": 53800592.0, "step": 1880 }, { "entropy": 0.3587687503546476, "epoch": 3.024, "grad_norm": 1.8828125, "learning_rate": 1.8024444444444445e-05, "loss": 0.3423, "mean_token_accuracy": 0.888729453831911, "num_tokens": 54092017.0, "step": 1890 }, { "entropy": 0.3438520409166813, "epoch": 3.04, "grad_norm": 1.8359375, "learning_rate": 1.8002222222222223e-05, "loss": 0.3233, "mean_token_accuracy": 0.8938188333064317, "num_tokens": 54380158.0, "step": 1900 }, { "epoch": 3.04, "eval_math_entropy": 0.406534277677536, "eval_math_loss": 0.7412194609642029, "eval_math_mean_token_accuracy": 0.8225762667655945, "eval_math_num_tokens": 54380158.0, "eval_math_runtime": 35.7958, "eval_math_samples_per_second": 13.968, "eval_math_steps_per_second": 3.492, "step": 1900 }, { "epoch": 3.04, "eval_physics_entropy": 0.38361185932159425, "eval_physics_loss": 0.8625921607017517, "eval_physics_mean_token_accuracy": 0.8045027327537536, "eval_physics_num_tokens": 54380158.0, "eval_physics_runtime": 41.4955, "eval_physics_samples_per_second": 12.05, "eval_physics_steps_per_second": 3.012, "step": 1900 }, { "entropy": 0.34686512807384134, "epoch": 3.056, "grad_norm": 1.8984375, "learning_rate": 1.798e-05, "loss": 0.3202, "mean_token_accuracy": 0.8946099061518907, "num_tokens": 54658093.0, "step": 1910 }, { "entropy": 0.34148691557347777, "epoch": 3.072, "grad_norm": 1.953125, "learning_rate": 1.7957777777777778e-05, "loss": 0.3202, "mean_token_accuracy": 0.8947911463677883, "num_tokens": 54949938.0, "step": 1920 }, { "entropy": 0.3277126123197377, "epoch": 3.088, "grad_norm": 2.21875, "learning_rate": 1.7935555555555556e-05, "loss": 0.3064, "mean_token_accuracy": 0.8989322237670422, "num_tokens": 55234643.0, "step": 1930 }, { "entropy": 0.34841074971482155, "epoch": 3.104, "grad_norm": 1.9609375, "learning_rate": 1.7913333333333337e-05, "loss": 0.3262, "mean_token_accuracy": 0.8924810353666544, "num_tokens": 55519679.0, "step": 1940 }, { "entropy": 0.33432568768039345, "epoch": 3.12, "grad_norm": 1.9453125, "learning_rate": 1.789111111111111e-05, "loss": 0.3163, "mean_token_accuracy": 0.896980819106102, "num_tokens": 55812397.0, "step": 1950 }, { "entropy": 0.33816060032695533, "epoch": 3.136, "grad_norm": 1.8671875, "learning_rate": 1.7868888888888892e-05, "loss": 0.3182, "mean_token_accuracy": 0.8948573391884566, "num_tokens": 56101550.0, "step": 1960 }, { "entropy": 0.3384258272126317, "epoch": 3.152, "grad_norm": 2.078125, "learning_rate": 1.7846666666666666e-05, "loss": 0.3209, "mean_token_accuracy": 0.8947299372404813, "num_tokens": 56387662.0, "step": 1970 }, { "entropy": 0.3522730448283255, "epoch": 3.168, "grad_norm": 2.03125, "learning_rate": 1.7824444444444447e-05, "loss": 0.333, "mean_token_accuracy": 0.892043673619628, "num_tokens": 56673426.0, "step": 1980 }, { "entropy": 0.3521577626466751, "epoch": 3.184, "grad_norm": 2.25, "learning_rate": 1.780222222222222e-05, "loss": 0.3268, "mean_token_accuracy": 0.89161705262959, "num_tokens": 56957044.0, "step": 1990 }, { "entropy": 0.3363432651385665, "epoch": 3.2, "grad_norm": 1.8671875, "learning_rate": 1.7780000000000003e-05, "loss": 0.3174, "mean_token_accuracy": 0.8954976741224527, "num_tokens": 57250097.0, "step": 2000 }, { "epoch": 3.2, "eval_math_entropy": 0.3876710822582245, "eval_math_loss": 0.7634654641151428, "eval_math_mean_token_accuracy": 0.8221899409294129, "eval_math_num_tokens": 57250097.0, "eval_math_runtime": 35.8054, "eval_math_samples_per_second": 13.964, "eval_math_steps_per_second": 3.491, "step": 2000 }, { "epoch": 3.2, "eval_physics_entropy": 0.35663985908031465, "eval_physics_loss": 0.8939647674560547, "eval_physics_mean_token_accuracy": 0.8043588905334472, "eval_physics_num_tokens": 57250097.0, "eval_physics_runtime": 41.1357, "eval_physics_samples_per_second": 12.155, "eval_physics_steps_per_second": 3.039, "step": 2000 }, { "entropy": 0.3453281221911311, "epoch": 3.216, "grad_norm": 2.046875, "learning_rate": 1.7757777777777777e-05, "loss": 0.3293, "mean_token_accuracy": 0.8925925586372614, "num_tokens": 57532026.0, "step": 2010 }, { "entropy": 0.34009323371574285, "epoch": 3.232, "grad_norm": 2.21875, "learning_rate": 1.7735555555555558e-05, "loss": 0.3216, "mean_token_accuracy": 0.895359569042921, "num_tokens": 57814853.0, "step": 2020 }, { "entropy": 0.32144517404958606, "epoch": 3.248, "grad_norm": 2.046875, "learning_rate": 1.7713333333333335e-05, "loss": 0.3013, "mean_token_accuracy": 0.8993485007435084, "num_tokens": 58094190.0, "step": 2030 }, { "entropy": 0.3362208865582943, "epoch": 3.2640000000000002, "grad_norm": 2.15625, "learning_rate": 1.7691111111111113e-05, "loss": 0.3179, "mean_token_accuracy": 0.8959619626402855, "num_tokens": 58374378.0, "step": 2040 }, { "entropy": 0.34206875674426557, "epoch": 3.2800000000000002, "grad_norm": 1.96875, "learning_rate": 1.766888888888889e-05, "loss": 0.3233, "mean_token_accuracy": 0.8937642563134431, "num_tokens": 58652789.0, "step": 2050 }, { "entropy": 0.3506787528283894, "epoch": 3.296, "grad_norm": 2.078125, "learning_rate": 1.7646666666666668e-05, "loss": 0.331, "mean_token_accuracy": 0.8917676325887441, "num_tokens": 58930014.0, "step": 2060 }, { "entropy": 0.345881634298712, "epoch": 3.312, "grad_norm": 2.015625, "learning_rate": 1.7624444444444446e-05, "loss": 0.3262, "mean_token_accuracy": 0.8924973297864198, "num_tokens": 59210270.0, "step": 2070 }, { "entropy": 0.34120792699977753, "epoch": 3.328, "grad_norm": 2.140625, "learning_rate": 1.7602222222222223e-05, "loss": 0.3192, "mean_token_accuracy": 0.8952000044286251, "num_tokens": 59496408.0, "step": 2080 }, { "entropy": 0.3278652913868427, "epoch": 3.344, "grad_norm": 2.15625, "learning_rate": 1.758e-05, "loss": 0.3112, "mean_token_accuracy": 0.8966204669326544, "num_tokens": 59779722.0, "step": 2090 }, { "entropy": 0.3657307820394635, "epoch": 3.36, "grad_norm": 2.21875, "learning_rate": 1.755777777777778e-05, "loss": 0.3419, "mean_token_accuracy": 0.8882275156676769, "num_tokens": 60061562.0, "step": 2100 }, { "epoch": 3.36, "eval_math_entropy": 0.3830914467573166, "eval_math_loss": 0.7686993479728699, "eval_math_mean_token_accuracy": 0.8224415044784545, "eval_math_num_tokens": 60061562.0, "eval_math_runtime": 35.8062, "eval_math_samples_per_second": 13.964, "eval_math_steps_per_second": 3.491, "step": 2100 }, { "epoch": 3.36, "eval_physics_entropy": 0.3522386626005173, "eval_physics_loss": 0.9039635062217712, "eval_physics_mean_token_accuracy": 0.8043717379570008, "eval_physics_num_tokens": 60061562.0, "eval_physics_runtime": 41.4883, "eval_physics_samples_per_second": 12.052, "eval_physics_steps_per_second": 3.013, "step": 2100 }, { "entropy": 0.35135511131957176, "epoch": 3.376, "grad_norm": 2.015625, "learning_rate": 1.7535555555555556e-05, "loss": 0.3328, "mean_token_accuracy": 0.8913474876433611, "num_tokens": 60346574.0, "step": 2110 }, { "entropy": 0.3290985696949065, "epoch": 3.392, "grad_norm": 2.015625, "learning_rate": 1.7513333333333334e-05, "loss": 0.3122, "mean_token_accuracy": 0.8976335555315018, "num_tokens": 60636820.0, "step": 2120 }, { "entropy": 0.3349749938584864, "epoch": 3.408, "grad_norm": 2.09375, "learning_rate": 1.749111111111111e-05, "loss": 0.3148, "mean_token_accuracy": 0.8964381668716669, "num_tokens": 60922033.0, "step": 2130 }, { "entropy": 0.3461784217506647, "epoch": 3.424, "grad_norm": 2.25, "learning_rate": 1.746888888888889e-05, "loss": 0.327, "mean_token_accuracy": 0.8919767573475837, "num_tokens": 61209156.0, "step": 2140 }, { "entropy": 0.3424711484462023, "epoch": 3.44, "grad_norm": 1.9609375, "learning_rate": 1.7446666666666667e-05, "loss": 0.3233, "mean_token_accuracy": 0.8935233734548091, "num_tokens": 61491228.0, "step": 2150 }, { "entropy": 0.3479755653068423, "epoch": 3.456, "grad_norm": 2.140625, "learning_rate": 1.7424444444444444e-05, "loss": 0.3292, "mean_token_accuracy": 0.8924077559262514, "num_tokens": 61773033.0, "step": 2160 }, { "entropy": 0.3536012376658618, "epoch": 3.472, "grad_norm": 2.0625, "learning_rate": 1.7402222222222222e-05, "loss": 0.3402, "mean_token_accuracy": 0.8894314222037792, "num_tokens": 62061802.0, "step": 2170 }, { "entropy": 0.34079490676522256, "epoch": 3.488, "grad_norm": 2.078125, "learning_rate": 1.7380000000000003e-05, "loss": 0.3233, "mean_token_accuracy": 0.8940149489790201, "num_tokens": 62347490.0, "step": 2180 }, { "entropy": 0.34653188129886986, "epoch": 3.504, "grad_norm": 2.0, "learning_rate": 1.735777777777778e-05, "loss": 0.3243, "mean_token_accuracy": 0.8935138266533613, "num_tokens": 62636811.0, "step": 2190 }, { "entropy": 0.3420496225357056, "epoch": 3.52, "grad_norm": 2.03125, "learning_rate": 1.7335555555555558e-05, "loss": 0.3255, "mean_token_accuracy": 0.8933457151055336, "num_tokens": 62928536.0, "step": 2200 }, { "epoch": 3.52, "eval_math_entropy": 0.39784613919258116, "eval_math_loss": 0.7561159133911133, "eval_math_mean_token_accuracy": 0.8226356348991394, "eval_math_num_tokens": 62928536.0, "eval_math_runtime": 35.8487, "eval_math_samples_per_second": 13.948, "eval_math_steps_per_second": 3.487, "step": 2200 }, { "epoch": 3.52, "eval_physics_entropy": 0.3542559086084366, "eval_physics_loss": 0.8993895053863525, "eval_physics_mean_token_accuracy": 0.8046151103973389, "eval_physics_num_tokens": 62928536.0, "eval_physics_runtime": 41.5136, "eval_physics_samples_per_second": 12.044, "eval_physics_steps_per_second": 3.011, "step": 2200 }, { "entropy": 0.3441290996037424, "epoch": 3.536, "grad_norm": 2.234375, "learning_rate": 1.7313333333333336e-05, "loss": 0.3257, "mean_token_accuracy": 0.8930490992963314, "num_tokens": 63212496.0, "step": 2210 }, { "entropy": 0.3405540899373591, "epoch": 3.552, "grad_norm": 2.0, "learning_rate": 1.7291111111111113e-05, "loss": 0.3211, "mean_token_accuracy": 0.8948382496833801, "num_tokens": 63506921.0, "step": 2220 }, { "entropy": 0.33624334512278437, "epoch": 3.568, "grad_norm": 1.9375, "learning_rate": 1.726888888888889e-05, "loss": 0.3159, "mean_token_accuracy": 0.8952401872724295, "num_tokens": 63803208.0, "step": 2230 }, { "entropy": 0.34232397861778735, "epoch": 3.584, "grad_norm": 2.25, "learning_rate": 1.724666666666667e-05, "loss": 0.3238, "mean_token_accuracy": 0.8939516879618168, "num_tokens": 64084867.0, "step": 2240 }, { "entropy": 0.33109099259600044, "epoch": 3.6, "grad_norm": 2.109375, "learning_rate": 1.7224444444444446e-05, "loss": 0.3153, "mean_token_accuracy": 0.8967003002762794, "num_tokens": 64377046.0, "step": 2250 }, { "entropy": 0.35013388488441705, "epoch": 3.616, "grad_norm": 2.109375, "learning_rate": 1.7202222222222224e-05, "loss": 0.331, "mean_token_accuracy": 0.8905543919652701, "num_tokens": 64664301.0, "step": 2260 }, { "entropy": 0.3353199644945562, "epoch": 3.632, "grad_norm": 2.140625, "learning_rate": 1.718e-05, "loss": 0.316, "mean_token_accuracy": 0.895779125764966, "num_tokens": 64946172.0, "step": 2270 }, { "entropy": 0.3319018458016217, "epoch": 3.648, "grad_norm": 2.0, "learning_rate": 1.715777777777778e-05, "loss": 0.3138, "mean_token_accuracy": 0.8972285516560078, "num_tokens": 65230709.0, "step": 2280 }, { "entropy": 0.36236064694821835, "epoch": 3.664, "grad_norm": 2.109375, "learning_rate": 1.7135555555555557e-05, "loss": 0.344, "mean_token_accuracy": 0.8877242401242256, "num_tokens": 65515738.0, "step": 2290 }, { "entropy": 0.3466769499704242, "epoch": 3.68, "grad_norm": 2.0625, "learning_rate": 1.7113333333333334e-05, "loss": 0.3276, "mean_token_accuracy": 0.8919828839600086, "num_tokens": 65802680.0, "step": 2300 }, { "epoch": 3.68, "eval_math_entropy": 0.3900481255054474, "eval_math_loss": 0.7627390623092651, "eval_math_mean_token_accuracy": 0.8218873319625855, "eval_math_num_tokens": 65802680.0, "eval_math_runtime": 35.8389, "eval_math_samples_per_second": 13.951, "eval_math_steps_per_second": 3.488, "step": 2300 }, { "epoch": 3.68, "eval_physics_entropy": 0.3501615208387375, "eval_physics_loss": 0.9098384380340576, "eval_physics_mean_token_accuracy": 0.8042201838493347, "eval_physics_num_tokens": 65802680.0, "eval_physics_runtime": 41.525, "eval_physics_samples_per_second": 12.041, "eval_physics_steps_per_second": 3.01, "step": 2300 }, { "entropy": 0.3516978560946882, "epoch": 3.6959999999999997, "grad_norm": 2.0625, "learning_rate": 1.7091111111111112e-05, "loss": 0.3334, "mean_token_accuracy": 0.8908947184681892, "num_tokens": 66089104.0, "step": 2310 }, { "entropy": 0.3427901498042047, "epoch": 3.7119999999999997, "grad_norm": 2.0, "learning_rate": 1.706888888888889e-05, "loss": 0.3228, "mean_token_accuracy": 0.8933374501764775, "num_tokens": 66369895.0, "step": 2320 }, { "entropy": 0.3467458762228489, "epoch": 3.7279999999999998, "grad_norm": 2.21875, "learning_rate": 1.704666666666667e-05, "loss": 0.327, "mean_token_accuracy": 0.8924272887408733, "num_tokens": 66653165.0, "step": 2330 }, { "entropy": 0.34478482212871314, "epoch": 3.7439999999999998, "grad_norm": 2.109375, "learning_rate": 1.7024444444444445e-05, "loss": 0.3245, "mean_token_accuracy": 0.8931741625070572, "num_tokens": 66941476.0, "step": 2340 }, { "entropy": 0.34707736801356076, "epoch": 3.76, "grad_norm": 2.140625, "learning_rate": 1.7002222222222226e-05, "loss": 0.3306, "mean_token_accuracy": 0.8919444873929023, "num_tokens": 67225380.0, "step": 2350 }, { "entropy": 0.35979456212371586, "epoch": 3.776, "grad_norm": 2.234375, "learning_rate": 1.698e-05, "loss": 0.3425, "mean_token_accuracy": 0.888241409137845, "num_tokens": 67516641.0, "step": 2360 }, { "entropy": 0.337408459559083, "epoch": 3.792, "grad_norm": 2.234375, "learning_rate": 1.695777777777778e-05, "loss": 0.3207, "mean_token_accuracy": 0.8952056996524334, "num_tokens": 67808009.0, "step": 2370 }, { "entropy": 0.35541942873969673, "epoch": 3.808, "grad_norm": 2.0625, "learning_rate": 1.6935555555555555e-05, "loss": 0.3354, "mean_token_accuracy": 0.8904807876795531, "num_tokens": 68092996.0, "step": 2380 }, { "entropy": 0.338986696396023, "epoch": 3.824, "grad_norm": 2.03125, "learning_rate": 1.6913333333333336e-05, "loss": 0.3217, "mean_token_accuracy": 0.8948666993528605, "num_tokens": 68380631.0, "step": 2390 }, { "entropy": 0.34510293062776326, "epoch": 3.84, "grad_norm": 2.140625, "learning_rate": 1.689111111111111e-05, "loss": 0.327, "mean_token_accuracy": 0.8922771938145161, "num_tokens": 68666505.0, "step": 2400 }, { "epoch": 3.84, "eval_math_entropy": 0.3931693367958069, "eval_math_loss": 0.7599309682846069, "eval_math_mean_token_accuracy": 0.8226110072135925, "eval_math_num_tokens": 68666505.0, "eval_math_runtime": 35.819, "eval_math_samples_per_second": 13.959, "eval_math_steps_per_second": 3.49, "step": 2400 }, { "epoch": 3.84, "eval_physics_entropy": 0.3486952732801437, "eval_physics_loss": 0.9106001257896423, "eval_physics_mean_token_accuracy": 0.8040544500350952, "eval_physics_num_tokens": 68666505.0, "eval_physics_runtime": 41.4809, "eval_physics_samples_per_second": 12.054, "eval_physics_steps_per_second": 3.013, "step": 2400 }, { "entropy": 0.341458183247596, "epoch": 3.856, "grad_norm": 2.1875, "learning_rate": 1.686888888888889e-05, "loss": 0.3259, "mean_token_accuracy": 0.8934879627078771, "num_tokens": 68951258.0, "step": 2410 }, { "entropy": 0.35674845492467283, "epoch": 3.872, "grad_norm": 2.234375, "learning_rate": 1.684666666666667e-05, "loss": 0.3383, "mean_token_accuracy": 0.8894801624119282, "num_tokens": 69243705.0, "step": 2420 }, { "entropy": 0.3472815524786711, "epoch": 3.888, "grad_norm": 2.171875, "learning_rate": 1.6824444444444447e-05, "loss": 0.3299, "mean_token_accuracy": 0.8912571128457785, "num_tokens": 69529393.0, "step": 2430 }, { "entropy": 0.345150712877512, "epoch": 3.904, "grad_norm": 2.28125, "learning_rate": 1.6802222222222224e-05, "loss": 0.3269, "mean_token_accuracy": 0.8925980541855096, "num_tokens": 69820950.0, "step": 2440 }, { "entropy": 0.3369919521734118, "epoch": 3.92, "grad_norm": 2.21875, "learning_rate": 1.6780000000000002e-05, "loss": 0.317, "mean_token_accuracy": 0.8948526129126548, "num_tokens": 70097736.0, "step": 2450 }, { "entropy": 0.3590950695797801, "epoch": 3.936, "grad_norm": 2.046875, "learning_rate": 1.675777777777778e-05, "loss": 0.34, "mean_token_accuracy": 0.8890990480780602, "num_tokens": 70395123.0, "step": 2460 }, { "entropy": 0.345857547596097, "epoch": 3.952, "grad_norm": 2.015625, "learning_rate": 1.6735555555555557e-05, "loss": 0.3301, "mean_token_accuracy": 0.8929780598729848, "num_tokens": 70678153.0, "step": 2470 }, { "entropy": 0.3558691343292594, "epoch": 3.968, "grad_norm": 2.078125, "learning_rate": 1.6713333333333335e-05, "loss": 0.3375, "mean_token_accuracy": 0.8891723170876503, "num_tokens": 70963030.0, "step": 2480 }, { "entropy": 0.33871191181242466, "epoch": 3.984, "grad_norm": 1.953125, "learning_rate": 1.6691111111111112e-05, "loss": 0.3215, "mean_token_accuracy": 0.8948656614869833, "num_tokens": 71264525.0, "step": 2490 }, { "entropy": 0.3556901432573795, "epoch": 4.0, "grad_norm": 2.265625, "learning_rate": 1.666888888888889e-05, "loss": 0.337, "mean_token_accuracy": 0.8900394972413779, "num_tokens": 71545696.0, "step": 2500 }, { "epoch": 4.0, "eval_math_entropy": 0.3949365179538727, "eval_math_loss": 0.7542520761489868, "eval_math_mean_token_accuracy": 0.8234356184005738, "eval_math_num_tokens": 71545696.0, "eval_math_runtime": 35.7966, "eval_math_samples_per_second": 13.968, "eval_math_steps_per_second": 3.492, "step": 2500 }, { "epoch": 4.0, "eval_physics_entropy": 0.3519064650535583, "eval_physics_loss": 0.9068982005119324, "eval_physics_mean_token_accuracy": 0.8042608909606933, "eval_physics_num_tokens": 71545696.0, "eval_physics_runtime": 41.1579, "eval_physics_samples_per_second": 12.148, "eval_physics_steps_per_second": 3.037, "step": 2500 }, { "entropy": 0.22543487511575222, "epoch": 4.016, "grad_norm": 2.359375, "learning_rate": 1.6646666666666668e-05, "loss": 0.1799, "mean_token_accuracy": 0.9439745012670755, "num_tokens": 71839909.0, "step": 2510 }, { "entropy": 0.2174504542723298, "epoch": 4.032, "grad_norm": 2.203125, "learning_rate": 1.6624444444444445e-05, "loss": 0.1708, "mean_token_accuracy": 0.9454751797020435, "num_tokens": 72128860.0, "step": 2520 }, { "entropy": 0.20308812106959523, "epoch": 4.048, "grad_norm": 1.75, "learning_rate": 1.6602222222222223e-05, "loss": 0.1635, "mean_token_accuracy": 0.9484880570322275, "num_tokens": 72415886.0, "step": 2530 }, { "entropy": 0.19942862098105252, "epoch": 4.064, "grad_norm": 2.3125, "learning_rate": 1.658e-05, "loss": 0.1599, "mean_token_accuracy": 0.9482992067933083, "num_tokens": 72695806.0, "step": 2540 }, { "entropy": 0.19497004388831557, "epoch": 4.08, "grad_norm": 1.984375, "learning_rate": 1.6557777777777778e-05, "loss": 0.1524, "mean_token_accuracy": 0.9501827869564294, "num_tokens": 72986978.0, "step": 2550 }, { "entropy": 0.1978817671071738, "epoch": 4.096, "grad_norm": 2.328125, "learning_rate": 1.6535555555555556e-05, "loss": 0.1597, "mean_token_accuracy": 0.9481502700597048, "num_tokens": 73271299.0, "step": 2560 }, { "entropy": 0.19556209091097115, "epoch": 4.112, "grad_norm": 2.15625, "learning_rate": 1.6513333333333333e-05, "loss": 0.1569, "mean_token_accuracy": 0.9491645645350217, "num_tokens": 73562479.0, "step": 2570 }, { "entropy": 0.19597707632929087, "epoch": 4.128, "grad_norm": 2.09375, "learning_rate": 1.6491111111111114e-05, "loss": 0.1588, "mean_token_accuracy": 0.9492202006280422, "num_tokens": 73845445.0, "step": 2580 }, { "entropy": 0.19680100358091296, "epoch": 4.144, "grad_norm": 1.9296875, "learning_rate": 1.646888888888889e-05, "loss": 0.1611, "mean_token_accuracy": 0.9478188194334507, "num_tokens": 74135425.0, "step": 2590 }, { "entropy": 0.20560383140109478, "epoch": 4.16, "grad_norm": 1.8828125, "learning_rate": 1.644666666666667e-05, "loss": 0.1678, "mean_token_accuracy": 0.945937181636691, "num_tokens": 74431943.0, "step": 2600 }, { "epoch": 4.16, "eval_math_entropy": 0.2884341893196106, "eval_math_loss": 0.9303049445152283, "eval_math_mean_token_accuracy": 0.8163944878578187, "eval_math_num_tokens": 74431943.0, "eval_math_runtime": 35.7808, "eval_math_samples_per_second": 13.974, "eval_math_steps_per_second": 3.493, "step": 2600 }, { "epoch": 4.16, "eval_physics_entropy": 0.2818371082544327, "eval_physics_loss": 1.0674083232879639, "eval_physics_mean_token_accuracy": 0.7992216634750366, "eval_physics_num_tokens": 74431943.0, "eval_physics_runtime": 41.4876, "eval_physics_samples_per_second": 12.052, "eval_physics_steps_per_second": 3.013, "step": 2600 }, { "entropy": 0.20040173502638936, "epoch": 4.176, "grad_norm": 2.21875, "learning_rate": 1.6424444444444444e-05, "loss": 0.1641, "mean_token_accuracy": 0.947614687308669, "num_tokens": 74713404.0, "step": 2610 }, { "entropy": 0.19675334333442152, "epoch": 4.192, "grad_norm": 2.0625, "learning_rate": 1.6402222222222225e-05, "loss": 0.1587, "mean_token_accuracy": 0.948599212616682, "num_tokens": 74997493.0, "step": 2620 }, { "entropy": 0.19941296209581197, "epoch": 4.208, "grad_norm": 2.0625, "learning_rate": 1.638e-05, "loss": 0.1591, "mean_token_accuracy": 0.94874595887959, "num_tokens": 75275375.0, "step": 2630 }, { "entropy": 0.19698526146821677, "epoch": 4.224, "grad_norm": 2.09375, "learning_rate": 1.635777777777778e-05, "loss": 0.1579, "mean_token_accuracy": 0.9489138159900904, "num_tokens": 75563461.0, "step": 2640 }, { "entropy": 0.2004603309556842, "epoch": 4.24, "grad_norm": 2.078125, "learning_rate": 1.6335555555555558e-05, "loss": 0.1662, "mean_token_accuracy": 0.9469812735915184, "num_tokens": 75854808.0, "step": 2650 }, { "entropy": 0.19907335569150747, "epoch": 4.256, "grad_norm": 2.21875, "learning_rate": 1.6313333333333335e-05, "loss": 0.1629, "mean_token_accuracy": 0.9474829658865929, "num_tokens": 76148449.0, "step": 2660 }, { "entropy": 0.19561562612652778, "epoch": 4.272, "grad_norm": 2.140625, "learning_rate": 1.6291111111111113e-05, "loss": 0.1579, "mean_token_accuracy": 0.9487213175743818, "num_tokens": 76435793.0, "step": 2670 }, { "entropy": 0.19496299759484828, "epoch": 4.288, "grad_norm": 2.203125, "learning_rate": 1.626888888888889e-05, "loss": 0.1597, "mean_token_accuracy": 0.9485157284885645, "num_tokens": 76726162.0, "step": 2680 }, { "entropy": 0.20333012314513327, "epoch": 4.304, "grad_norm": 2.125, "learning_rate": 1.6246666666666668e-05, "loss": 0.1668, "mean_token_accuracy": 0.94562135823071, "num_tokens": 77016858.0, "step": 2690 }, { "entropy": 0.19900708929635585, "epoch": 4.32, "grad_norm": 2.15625, "learning_rate": 1.6224444444444446e-05, "loss": 0.1639, "mean_token_accuracy": 0.9465276099741459, "num_tokens": 77311424.0, "step": 2700 }, { "epoch": 4.32, "eval_math_entropy": 0.2942132350206375, "eval_math_loss": 0.9334467053413391, "eval_math_mean_token_accuracy": 0.8159489192962647, "eval_math_num_tokens": 77311424.0, "eval_math_runtime": 35.8238, "eval_math_samples_per_second": 13.957, "eval_math_steps_per_second": 3.489, "step": 2700 }, { "epoch": 4.32, "eval_physics_entropy": 0.28400694143772126, "eval_physics_loss": 1.0711963176727295, "eval_physics_mean_token_accuracy": 0.7983153300285339, "eval_physics_num_tokens": 77311424.0, "eval_physics_runtime": 41.5147, "eval_physics_samples_per_second": 12.044, "eval_physics_steps_per_second": 3.011, "step": 2700 }, { "entropy": 0.20124221742153167, "epoch": 4.336, "grad_norm": 2.1875, "learning_rate": 1.6202222222222223e-05, "loss": 0.1659, "mean_token_accuracy": 0.9459259379655123, "num_tokens": 77596829.0, "step": 2710 }, { "entropy": 0.20279881260357796, "epoch": 4.352, "grad_norm": 2.34375, "learning_rate": 1.618e-05, "loss": 0.1676, "mean_token_accuracy": 0.9458406940102577, "num_tokens": 77889107.0, "step": 2720 }, { "entropy": 0.20401687268167734, "epoch": 4.368, "grad_norm": 2.265625, "learning_rate": 1.615777777777778e-05, "loss": 0.1683, "mean_token_accuracy": 0.9460482109338045, "num_tokens": 78176273.0, "step": 2730 }, { "entropy": 0.20603159624151884, "epoch": 4.384, "grad_norm": 2.25, "learning_rate": 1.6135555555555556e-05, "loss": 0.171, "mean_token_accuracy": 0.9445526108145714, "num_tokens": 78461335.0, "step": 2740 }, { "entropy": 0.20936214146204293, "epoch": 4.4, "grad_norm": 2.296875, "learning_rate": 1.6113333333333334e-05, "loss": 0.1746, "mean_token_accuracy": 0.943215336278081, "num_tokens": 78748521.0, "step": 2750 }, { "entropy": 0.20285641457885503, "epoch": 4.416, "grad_norm": 2.3125, "learning_rate": 1.609111111111111e-05, "loss": 0.1679, "mean_token_accuracy": 0.9455374360084534, "num_tokens": 79028488.0, "step": 2760 }, { "entropy": 0.1989856549538672, "epoch": 4.432, "grad_norm": 2.171875, "learning_rate": 1.606888888888889e-05, "loss": 0.162, "mean_token_accuracy": 0.9475978959351778, "num_tokens": 79315788.0, "step": 2770 }, { "entropy": 0.20125137683935462, "epoch": 4.448, "grad_norm": 2.265625, "learning_rate": 1.6046666666666667e-05, "loss": 0.1667, "mean_token_accuracy": 0.9461831945925951, "num_tokens": 79595473.0, "step": 2780 }, { "entropy": 0.20731261624023317, "epoch": 4.464, "grad_norm": 2.296875, "learning_rate": 1.6024444444444444e-05, "loss": 0.1719, "mean_token_accuracy": 0.9443279825150966, "num_tokens": 79884376.0, "step": 2790 }, { "entropy": 0.20476281307637692, "epoch": 4.48, "grad_norm": 2.28125, "learning_rate": 1.6002222222222222e-05, "loss": 0.1676, "mean_token_accuracy": 0.9456661235541105, "num_tokens": 80163433.0, "step": 2800 }, { "epoch": 4.48, "eval_math_entropy": 0.2912301456928253, "eval_math_loss": 0.9387769103050232, "eval_math_mean_token_accuracy": 0.8159988284111023, "eval_math_num_tokens": 80163433.0, "eval_math_runtime": 35.8056, "eval_math_samples_per_second": 13.964, "eval_math_steps_per_second": 3.491, "step": 2800 }, { "epoch": 4.48, "eval_physics_entropy": 0.283928528547287, "eval_physics_loss": 1.0744123458862305, "eval_physics_mean_token_accuracy": 0.79825497341156, "eval_physics_num_tokens": 80163433.0, "eval_physics_runtime": 41.5025, "eval_physics_samples_per_second": 12.047, "eval_physics_steps_per_second": 3.012, "step": 2800 }, { "entropy": 0.21272651255130767, "epoch": 4.496, "grad_norm": 2.484375, "learning_rate": 1.5980000000000003e-05, "loss": 0.1786, "mean_token_accuracy": 0.94269258081913, "num_tokens": 80443676.0, "step": 2810 }, { "entropy": 0.20025675450451672, "epoch": 4.5120000000000005, "grad_norm": 2.28125, "learning_rate": 1.5957777777777777e-05, "loss": 0.165, "mean_token_accuracy": 0.9459723506122828, "num_tokens": 80731924.0, "step": 2820 }, { "entropy": 0.20602681376039983, "epoch": 4.5280000000000005, "grad_norm": 2.203125, "learning_rate": 1.5935555555555558e-05, "loss": 0.1714, "mean_token_accuracy": 0.9448773771524429, "num_tokens": 81022957.0, "step": 2830 }, { "entropy": 0.19887811122462154, "epoch": 4.5440000000000005, "grad_norm": 2.03125, "learning_rate": 1.5913333333333332e-05, "loss": 0.1649, "mean_token_accuracy": 0.9466291036456823, "num_tokens": 81309913.0, "step": 2840 }, { "entropy": 0.20165206529200078, "epoch": 4.5600000000000005, "grad_norm": 2.390625, "learning_rate": 1.5891111111111113e-05, "loss": 0.1685, "mean_token_accuracy": 0.9454752709716558, "num_tokens": 81589202.0, "step": 2850 }, { "entropy": 0.2059997975360602, "epoch": 4.576, "grad_norm": 2.375, "learning_rate": 1.5868888888888888e-05, "loss": 0.1704, "mean_token_accuracy": 0.9445979256182909, "num_tokens": 81869804.0, "step": 2860 }, { "entropy": 0.2071733211632818, "epoch": 4.592, "grad_norm": 2.296875, "learning_rate": 1.584666666666667e-05, "loss": 0.1733, "mean_token_accuracy": 0.9441272236406804, "num_tokens": 82148464.0, "step": 2870 }, { "entropy": 0.20506689832545816, "epoch": 4.608, "grad_norm": 2.40625, "learning_rate": 1.5824444444444446e-05, "loss": 0.1696, "mean_token_accuracy": 0.9445500578731298, "num_tokens": 82427716.0, "step": 2880 }, { "entropy": 0.20488002435304226, "epoch": 4.624, "grad_norm": 2.359375, "learning_rate": 1.5802222222222224e-05, "loss": 0.1696, "mean_token_accuracy": 0.9450069412589073, "num_tokens": 82710604.0, "step": 2890 }, { "entropy": 0.20467088604345918, "epoch": 4.64, "grad_norm": 2.296875, "learning_rate": 1.578e-05, "loss": 0.1688, "mean_token_accuracy": 0.944780471175909, "num_tokens": 82990401.0, "step": 2900 }, { "epoch": 4.64, "eval_math_entropy": 0.29218543314933776, "eval_math_loss": 0.9344849586486816, "eval_math_mean_token_accuracy": 0.816554964542389, "eval_math_num_tokens": 82990401.0, "eval_math_runtime": 35.7784, "eval_math_samples_per_second": 13.975, "eval_math_steps_per_second": 3.494, "step": 2900 }, { "epoch": 4.64, "eval_physics_entropy": 0.2805333559513092, "eval_physics_loss": 1.0783778429031372, "eval_physics_mean_token_accuracy": 0.7986170620918274, "eval_physics_num_tokens": 82990401.0, "eval_physics_runtime": 41.499, "eval_physics_samples_per_second": 12.048, "eval_physics_steps_per_second": 3.012, "step": 2900 }, { "entropy": 0.20116342874243856, "epoch": 4.656, "grad_norm": 2.421875, "learning_rate": 1.575777777777778e-05, "loss": 0.1639, "mean_token_accuracy": 0.9467363331466914, "num_tokens": 83269847.0, "step": 2910 }, { "entropy": 0.20632342710159718, "epoch": 4.672, "grad_norm": 2.40625, "learning_rate": 1.5735555555555557e-05, "loss": 0.1709, "mean_token_accuracy": 0.9442934289574623, "num_tokens": 83550833.0, "step": 2920 }, { "entropy": 0.2032525334507227, "epoch": 4.688, "grad_norm": 2.15625, "learning_rate": 1.5713333333333334e-05, "loss": 0.1693, "mean_token_accuracy": 0.9453159097582102, "num_tokens": 83840860.0, "step": 2930 }, { "entropy": 0.20695003918372096, "epoch": 4.704, "grad_norm": 2.234375, "learning_rate": 1.5691111111111112e-05, "loss": 0.1735, "mean_token_accuracy": 0.9437373761087656, "num_tokens": 84128625.0, "step": 2940 }, { "entropy": 0.208350771619007, "epoch": 4.72, "grad_norm": 2.140625, "learning_rate": 1.5668888888888893e-05, "loss": 0.1736, "mean_token_accuracy": 0.9436807181686163, "num_tokens": 84423857.0, "step": 2950 }, { "entropy": 0.20460730344057082, "epoch": 4.736, "grad_norm": 2.359375, "learning_rate": 1.5646666666666667e-05, "loss": 0.1697, "mean_token_accuracy": 0.9452991545200348, "num_tokens": 84695402.0, "step": 2960 }, { "entropy": 0.19873600411228837, "epoch": 4.752, "grad_norm": 2.390625, "learning_rate": 1.5624444444444448e-05, "loss": 0.1635, "mean_token_accuracy": 0.9467461623251439, "num_tokens": 84980763.0, "step": 2970 }, { "entropy": 0.203874301770702, "epoch": 4.768, "grad_norm": 2.09375, "learning_rate": 1.5602222222222222e-05, "loss": 0.1679, "mean_token_accuracy": 0.945096442475915, "num_tokens": 85272835.0, "step": 2980 }, { "entropy": 0.2079331438988447, "epoch": 4.784, "grad_norm": 2.359375, "learning_rate": 1.5580000000000003e-05, "loss": 0.1767, "mean_token_accuracy": 0.9423614408820867, "num_tokens": 85568674.0, "step": 2990 }, { "entropy": 0.20461545852012933, "epoch": 4.8, "grad_norm": 2.09375, "learning_rate": 1.5557777777777778e-05, "loss": 0.1701, "mean_token_accuracy": 0.9448350362479687, "num_tokens": 85856157.0, "step": 3000 }, { "epoch": 4.8, "eval_math_entropy": 0.29029106283187867, "eval_math_loss": 0.9365277290344238, "eval_math_mean_token_accuracy": 0.8171119575500488, "eval_math_num_tokens": 85856157.0, "eval_math_runtime": 35.799, "eval_math_samples_per_second": 13.967, "eval_math_steps_per_second": 3.492, "step": 3000 }, { "epoch": 4.8, "eval_physics_entropy": 0.2788742837905884, "eval_physics_loss": 1.0801695585250854, "eval_physics_mean_token_accuracy": 0.7987381658554077, "eval_physics_num_tokens": 85856157.0, "eval_physics_runtime": 41.1763, "eval_physics_samples_per_second": 12.143, "eval_physics_steps_per_second": 3.036, "step": 3000 } ], "logging_steps": 10, "max_steps": 10000, "num_input_tokens_seen": 0, "num_train_epochs": 16, "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": 6.514702006875267e+18, "train_batch_size": 4, "trial_name": null, "trial_params": null }