{ "best_metric": null, "best_model_checkpoint": null, "epoch": 0.24, "eval_steps": 500, "global_step": 450, "is_hyper_param_search": false, "is_local_process_zero": true, "is_world_process_zero": true, "log_history": [ { "completion_length": 282.35938358306885, "epoch": 0.0010666666666666667, "grad_norm": 0.1740607843550731, "kl": 0.0, "learning_rate": 7.142857142857142e-08, "loss": -0.0, "reward": 0.026041667442768812, "reward_std": 0.06856952514499426, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.026041667442768812, "step": 2 }, { "completion_length": 255.33334159851074, "epoch": 0.0021333333333333334, "grad_norm": 0.1305423021351322, "kl": 0.00047016143798828125, "learning_rate": 1.4285714285714285e-07, "loss": 0.0, "reward": 0.02083333395421505, "reward_std": 0.053838133811950684, "rewards/equation_reward_func": 0.0026041667442768812, "rewards/format_reward_func": 0.01822916720993817, "step": 4 }, { "completion_length": 281.42969703674316, "epoch": 0.0032, "grad_norm": 0.19750475097577522, "kl": 0.0004911422729492188, "learning_rate": 2.1428571428571426e-07, "loss": 0.0, "reward": 0.033854167675599456, "reward_std": 0.085579180624336, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.033854167675599456, "step": 6 }, { "completion_length": 268.5130271911621, "epoch": 0.004266666666666667, "grad_norm": 0.194796000336386, "kl": 0.0005019903182983398, "learning_rate": 2.857142857142857e-07, "loss": 0.0, "reward": 0.03385416744276881, "reward_std": 0.08557918202131987, "rewards/equation_reward_func": 0.0052083334885537624, "rewards/format_reward_func": 0.02864583395421505, "step": 8 }, { "completion_length": 257.10938262939453, "epoch": 0.005333333333333333, "grad_norm": 0.292373371011067, "kl": 0.0005332231521606445, "learning_rate": 3.5714285714285716e-07, "loss": 0.0, "reward": 0.041666667675599456, "reward_std": 0.11276369681581855, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.041666667675599456, "step": 10 }, { "completion_length": 254.213547706604, "epoch": 0.0064, "grad_norm": 0.24542351307046964, "kl": 0.0005249977111816406, "learning_rate": 4.285714285714285e-07, "loss": 0.0, "reward": 0.033854167675599456, "reward_std": 0.09066661400720477, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.033854167675599456, "step": 12 }, { "completion_length": 240.59115505218506, "epoch": 0.007466666666666667, "grad_norm": 0.1629126525505696, "kl": 0.000682830810546875, "learning_rate": 5e-07, "loss": 0.0, "reward": 0.03125000069849193, "reward_std": 0.08330091601237655, "rewards/equation_reward_func": 0.0026041667442768812, "rewards/format_reward_func": 0.02864583395421505, "step": 14 }, { "completion_length": 240.75261116027832, "epoch": 0.008533333333333334, "grad_norm": 0.3538782190019136, "kl": 0.0009417533874511719, "learning_rate": 4.999740409224932e-07, "loss": 0.0, "reward": 0.04947916814126074, "reward_std": 0.12977335462346673, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.04947916814126074, "step": 16 }, { "completion_length": 235.65886306762695, "epoch": 0.0096, "grad_norm": 0.37483939189307014, "kl": 0.0021331310272216797, "learning_rate": 4.998961690809627e-07, "loss": 0.0, "reward": 0.08333333558402956, "reward_std": 0.19386286428198218, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.08333333558402956, "step": 18 }, { "completion_length": 213.838547706604, "epoch": 0.010666666666666666, "grad_norm": 0.4353626183813759, "kl": 0.004715919494628906, "learning_rate": 4.997664006472578e-07, "loss": 0.0, "reward": 0.13281250465661287, "reward_std": 0.2736447872593999, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.13281250465661287, "step": 20 }, { "completion_length": 199.9505271911621, "epoch": 0.011733333333333333, "grad_norm": 0.35408470392901203, "kl": 0.007928848266601562, "learning_rate": 4.995847625707292e-07, "loss": 0.0, "reward": 0.21093750512227416, "reward_std": 0.37474397476762533, "rewards/equation_reward_func": 0.0052083334885537624, "rewards/format_reward_func": 0.2057291711680591, "step": 22 }, { "completion_length": 200.46094417572021, "epoch": 0.0128, "grad_norm": 0.39276482904098864, "kl": 0.01102447509765625, "learning_rate": 4.993512925726318e-07, "loss": 0.0, "reward": 0.2760416744276881, "reward_std": 0.40983634255826473, "rewards/equation_reward_func": 0.0052083334885537624, "rewards/format_reward_func": 0.27083334140479565, "step": 24 }, { "completion_length": 148.19792079925537, "epoch": 0.013866666666666666, "grad_norm": 0.48262457004852183, "kl": 0.025241851806640625, "learning_rate": 4.990660391382923e-07, "loss": 0.0, "reward": 0.4947916865348816, "reward_std": 0.48596240021288395, "rewards/equation_reward_func": 0.0, "rewards/format_reward_func": 0.4947916865348816, "step": 26 }, { "completion_length": 114.90885829925537, "epoch": 0.014933333333333333, "grad_norm": 0.38461913898848776, "kl": 0.0433349609375, "learning_rate": 4.987290615070384e-07, "loss": 0.0, "reward": 0.7291666828095913, "reward_std": 0.42544535594061017, "rewards/equation_reward_func": 0.0078125, "rewards/format_reward_func": 0.7213541828095913, "step": 28 }, { "completion_length": 105.90885734558105, "epoch": 0.016, "grad_norm": 0.4217166681599687, "kl": 0.0572509765625, "learning_rate": 4.983404296598978e-07, "loss": 0.0001, "reward": 0.7682291828095913, "reward_std": 0.399359080940485, "rewards/equation_reward_func": 0.0026041667442768812, "rewards/format_reward_func": 0.7656250149011612, "step": 30 }, { "completion_length": 85.84635543823242, "epoch": 0.017066666666666667, "grad_norm": 0.43581276711650174, "kl": 0.05517578125, "learning_rate": 4.979002243050646e-07, "loss": 0.0001, "reward": 0.8697916828095913, "reward_std": 0.2932830383069813, "rewards/equation_reward_func": 0.0052083334885537624, "rewards/format_reward_func": 0.8645833544433117, "step": 32 }, { "completion_length": 70.50521039962769, "epoch": 0.018133333333333335, "grad_norm": 0.27643278807711624, "kl": 0.0776519775390625, "learning_rate": 4.974085368611381e-07, "loss": 0.0001, "reward": 0.9192708507180214, "reward_std": 0.20361881935968995, "rewards/equation_reward_func": 0.0052083334885537624, "rewards/format_reward_func": 0.9140625186264515, "step": 34 }, { "completion_length": 75.24218940734863, "epoch": 0.0192, "grad_norm": 0.2824240988052863, "kl": 0.064453125, "learning_rate": 4.968654694381379e-07, "loss": 0.0001, "reward": 0.9140625223517418, "reward_std": 0.20272048702463508, "rewards/equation_reward_func": 0.0026041667442768812, "rewards/format_reward_func": 0.9114583544433117, "step": 36 }, { "completion_length": 63.29948019981384, "epoch": 0.020266666666666665, "grad_norm": 0.2805616280859793, "kl": 0.0658111572265625, "learning_rate": 4.962711348162987e-07, "loss": 0.0001, "reward": 0.9479166828095913, "reward_std": 0.17720681754872203, "rewards/equation_reward_func": 0.010416666977107525, "rewards/format_reward_func": 0.9375000149011612, "step": 38 }, { "completion_length": 54.588543176651, "epoch": 0.021333333333333333, "grad_norm": 0.23145153521903244, "kl": 0.0833587646484375, "learning_rate": 4.956256564226487e-07, "loss": 0.0001, "reward": 0.9791666902601719, "reward_std": 0.09592872625216842, "rewards/equation_reward_func": 0.007812500232830644, "rewards/format_reward_func": 0.9713541865348816, "step": 40 }, { "completion_length": 55.24739694595337, "epoch": 0.0224, "grad_norm": 0.2338979387975897, "kl": 0.09307861328125, "learning_rate": 4.949291683053768e-07, "loss": 0.0001, "reward": 0.9791666902601719, "reward_std": 0.10311973933130503, "rewards/equation_reward_func": 0.007812500232830644, "rewards/format_reward_func": 0.9713541902601719, "step": 42 }, { "completion_length": 54.289063453674316, "epoch": 0.023466666666666667, "grad_norm": 0.1329419349418815, "kl": 0.076385498046875, "learning_rate": 4.941818151059955e-07, "loss": 0.0001, "reward": 1.005208358168602, "reward_std": 0.0589255653321743, "rewards/equation_reward_func": 0.013020833721384406, "rewards/format_reward_func": 0.9921875074505806, "step": 44 }, { "completion_length": 57.59895944595337, "epoch": 0.024533333333333334, "grad_norm": 1.2311340623228515, "kl": 0.147796630859375, "learning_rate": 4.933837520293017e-07, "loss": 0.0001, "reward": 0.9765625298023224, "reward_std": 0.09066661214455962, "rewards/equation_reward_func": 0.0052083334885537624, "rewards/format_reward_func": 0.9713541865348816, "step": 46 }, { "completion_length": 51.78385543823242, "epoch": 0.0256, "grad_norm": 0.6985959466521252, "kl": 0.1004638671875, "learning_rate": 4.925351448111454e-07, "loss": 0.0001, "reward": 1.0234375298023224, "reward_std": 0.08557918202131987, "rewards/equation_reward_func": 0.02864583395421505, "rewards/format_reward_func": 0.9947916716337204, "step": 48 }, { "completion_length": 51.58333420753479, "epoch": 0.02666666666666667, "grad_norm": 0.12594191102876573, "kl": 0.10333251953125, "learning_rate": 4.91636169684011e-07, "loss": 0.0001, "reward": 1.0156250223517418, "reward_std": 0.07461797958239913, "rewards/equation_reward_func": 0.023437500232830644, "rewards/format_reward_func": 0.9921875074505806, "step": 50 }, { "completion_length": 51.73177242279053, "epoch": 0.027733333333333332, "grad_norm": 0.08753934735556794, "kl": 0.10040283203125, "learning_rate": 4.906870133404186e-07, "loss": 0.0001, "reward": 1.0182291865348816, "reward_std": 0.0549764484167099, "rewards/equation_reward_func": 0.020833333721384406, "rewards/format_reward_func": 0.9973958358168602, "step": 52 }, { "completion_length": 51.546876668930054, "epoch": 0.0288, "grad_norm": 0.17866705350514983, "kl": 0.1055908203125, "learning_rate": 4.896878728941531e-07, "loss": 0.0001, "reward": 1.0078125149011612, "reward_std": 0.046472438145428896, "rewards/equation_reward_func": 0.013020833721384406, "rewards/format_reward_func": 0.9947916716337204, "step": 54 }, { "completion_length": 51.22395944595337, "epoch": 0.029866666666666666, "grad_norm": 0.1730610808638548, "kl": 0.141632080078125, "learning_rate": 4.886389558393284e-07, "loss": 0.0001, "reward": 1.002604179084301, "reward_std": 0.051559869665652514, "rewards/equation_reward_func": 0.010416666977107525, "rewards/format_reward_func": 0.9921875074505806, "step": 56 }, { "completion_length": 51.179688930511475, "epoch": 0.030933333333333334, "grad_norm": 0.3129794370215895, "kl": 0.11151123046875, "learning_rate": 4.875404800072976e-07, "loss": 0.0001, "reward": 1.0364583656191826, "reward_std": 0.09294487768784165, "rewards/equation_reward_func": 0.03645833418704569, "rewards/format_reward_func": 1.0, "step": 58 }, { "completion_length": 51.335938930511475, "epoch": 0.032, "grad_norm": 0.25488432278587914, "kl": 0.124847412109375, "learning_rate": 4.86392673521415e-07, "loss": 0.0001, "reward": 1.0442708730697632, "reward_std": 0.11144645884633064, "rewards/equation_reward_func": 0.04687500116415322, "rewards/format_reward_func": 0.9973958358168602, "step": 60 }, { "completion_length": 49.33854293823242, "epoch": 0.03306666666666667, "grad_norm": 0.1521903024555833, "kl": 0.124847412109375, "learning_rate": 4.851957747496606e-07, "loss": 0.0001, "reward": 1.0338541939854622, "reward_std": 0.05953297670930624, "rewards/equation_reward_func": 0.0338541679084301, "rewards/format_reward_func": 1.0, "step": 62 }, { "completion_length": 48.43229293823242, "epoch": 0.034133333333333335, "grad_norm": 0.2524941713562646, "kl": 0.16082763671875, "learning_rate": 4.839500322551386e-07, "loss": 0.0002, "reward": 1.0442708507180214, "reward_std": 0.09732084395363927, "rewards/equation_reward_func": 0.04947916720993817, "rewards/format_reward_func": 0.9947916716337204, "step": 64 }, { "completion_length": 49.06250190734863, "epoch": 0.0352, "grad_norm": 0.14405133529333697, "kl": 0.1566162109375, "learning_rate": 4.826557047444563e-07, "loss": 0.0002, "reward": 1.028645858168602, "reward_std": 0.07426436804234982, "rewards/equation_reward_func": 0.03125000069849193, "rewards/format_reward_func": 0.9973958358168602, "step": 66 }, { "completion_length": 46.49739718437195, "epoch": 0.03626666666666667, "grad_norm": 0.21138777084113075, "kl": 0.166259765625, "learning_rate": 4.813130610139993e-07, "loss": 0.0002, "reward": 1.0729167088866234, "reward_std": 0.12511440878733993, "rewards/equation_reward_func": 0.07291666860692203, "rewards/format_reward_func": 1.0, "step": 68 }, { "completion_length": 45.867188692092896, "epoch": 0.037333333333333336, "grad_norm": 0.21057979945519745, "kl": 0.18072509765625, "learning_rate": 4.799223798941089e-07, "loss": 0.0002, "reward": 1.0729167088866234, "reward_std": 0.1658920031040907, "rewards/equation_reward_func": 0.07552083511836827, "rewards/format_reward_func": 0.9973958358168602, "step": 70 }, { "completion_length": 46.00260519981384, "epoch": 0.0384, "grad_norm": 0.22213959393069932, "kl": 0.2841796875, "learning_rate": 4.78483950191177e-07, "loss": 0.0003, "reward": 1.062500037252903, "reward_std": 0.12756996927782893, "rewards/equation_reward_func": 0.06250000116415322, "rewards/format_reward_func": 1.0, "step": 72 }, { "completion_length": 45.48177218437195, "epoch": 0.039466666666666664, "grad_norm": 0.25433299791887853, "kl": 0.2039794921875, "learning_rate": 4.769980706276687e-07, "loss": 0.0002, "reward": 1.0729167014360428, "reward_std": 0.13283371645957232, "rewards/equation_reward_func": 0.07291666837409139, "rewards/format_reward_func": 1.0, "step": 74 }, { "completion_length": 45.94270920753479, "epoch": 0.04053333333333333, "grad_norm": 0.197324342240113, "kl": 0.20538330078125, "learning_rate": 4.7546504978008595e-07, "loss": 0.0002, "reward": 1.083333358168602, "reward_std": 0.14913451066240668, "rewards/equation_reward_func": 0.08333333558402956, "rewards/format_reward_func": 1.0, "step": 76 }, { "completion_length": 44.643230676651, "epoch": 0.0416, "grad_norm": 0.19766456669835683, "kl": 0.210693359375, "learning_rate": 4.738852060148848e-07, "loss": 0.0002, "reward": 1.0807292014360428, "reward_std": 0.13949218904599547, "rewards/equation_reward_func": 0.08854166930541396, "rewards/format_reward_func": 0.9921875074505806, "step": 78 }, { "completion_length": 44.45052194595337, "epoch": 0.042666666666666665, "grad_norm": 0.18013367923974538, "kl": 0.2098388671875, "learning_rate": 4.722588674223593e-07, "loss": 0.0002, "reward": 1.1041667014360428, "reward_std": 0.1602703994140029, "rewards/equation_reward_func": 0.10677083651535213, "rewards/format_reward_func": 0.9973958358168602, "step": 80 }, { "completion_length": 44.59114694595337, "epoch": 0.04373333333333333, "grad_norm": 0.2089568877219373, "kl": 0.23651123046875, "learning_rate": 4.70586371748506e-07, "loss": 0.0002, "reward": 1.0729166939854622, "reward_std": 0.11073498986661434, "rewards/equation_reward_func": 0.07291667023673654, "rewards/format_reward_func": 1.0, "step": 82 }, { "completion_length": 44.25520968437195, "epoch": 0.0448, "grad_norm": 0.26774021355534683, "kl": 0.2432861328125, "learning_rate": 4.6886806632488363e-07, "loss": 0.0002, "reward": 1.0703125223517418, "reward_std": 0.14457962149754167, "rewards/equation_reward_func": 0.0729166679084301, "rewards/format_reward_func": 0.9973958358168602, "step": 84 }, { "completion_length": 45.085938453674316, "epoch": 0.04586666666666667, "grad_norm": 0.20779914302686117, "kl": 0.20538330078125, "learning_rate": 4.6710430799648143e-07, "loss": 0.0002, "reward": 1.0859375298023224, "reward_std": 0.13949218997731805, "rewards/equation_reward_func": 0.08593750209547579, "rewards/format_reward_func": 1.0, "step": 86 }, { "completion_length": 44.90885543823242, "epoch": 0.046933333333333334, "grad_norm": 0.20740948760165967, "kl": 0.24371337890625, "learning_rate": 4.652954630476127e-07, "loss": 0.0002, "reward": 1.0833333507180214, "reward_std": 0.13188487756997347, "rewards/equation_reward_func": 0.08854166837409139, "rewards/format_reward_func": 0.9947916716337204, "step": 88 }, { "completion_length": 44.250001192092896, "epoch": 0.048, "grad_norm": 0.20250885853430015, "kl": 0.20672607421875, "learning_rate": 4.6344190712584713e-07, "loss": 0.0002, "reward": 1.1015625521540642, "reward_std": 0.16360786417499185, "rewards/equation_reward_func": 0.10156250349245965, "rewards/format_reward_func": 1.0, "step": 90 }, { "completion_length": 44.132813930511475, "epoch": 0.04906666666666667, "grad_norm": 0.19451909809114717, "kl": 0.25396728515625, "learning_rate": 4.615440251639995e-07, "loss": 0.0003, "reward": 1.0703125447034836, "reward_std": 0.11827961495146155, "rewards/equation_reward_func": 0.07031250256113708, "rewards/format_reward_func": 1.0, "step": 92 }, { "completion_length": 43.86198043823242, "epoch": 0.050133333333333335, "grad_norm": 0.2114464718519318, "kl": 0.23681640625, "learning_rate": 4.596022113001894e-07, "loss": 0.0002, "reward": 1.109375037252903, "reward_std": 0.17087537981569767, "rewards/equation_reward_func": 0.10937500279396772, "rewards/format_reward_func": 1.0, "step": 94 }, { "completion_length": 43.35677218437195, "epoch": 0.0512, "grad_norm": 0.26777820236527494, "kl": 0.21124267578125, "learning_rate": 4.576168687959895e-07, "loss": 0.0002, "reward": 1.1197916939854622, "reward_std": 0.17219426156952977, "rewards/equation_reward_func": 0.11979167000390589, "rewards/format_reward_func": 1.0, "step": 96 }, { "completion_length": 43.971355676651, "epoch": 0.05226666666666667, "grad_norm": 0.22497833404680617, "kl": 0.21343994140625, "learning_rate": 4.555884099526793e-07, "loss": 0.0002, "reward": 1.0755208805203438, "reward_std": 0.12792357616126537, "rewards/equation_reward_func": 0.07552083535119891, "rewards/format_reward_func": 1.0, "step": 98 }, { "completion_length": 43.773438930511475, "epoch": 0.05333333333333334, "grad_norm": 0.20979703618125947, "kl": 0.2442626953125, "learning_rate": 4.5351725602562174e-07, "loss": 0.0002, "reward": 1.1145833656191826, "reward_std": 0.1417704545892775, "rewards/equation_reward_func": 0.11458333558402956, "rewards/format_reward_func": 1.0, "step": 100 }, { "completion_length": 44.796876668930054, "epoch": 0.0544, "grad_norm": 0.30411990281094664, "kl": 0.2236328125, "learning_rate": 4.514038371367791e-07, "loss": 0.0002, "reward": 1.085937537252903, "reward_std": 0.1542235817760229, "rewards/equation_reward_func": 0.08593750093132257, "rewards/format_reward_func": 1.0, "step": 102 }, { "completion_length": 44.39583444595337, "epoch": 0.055466666666666664, "grad_norm": 0.21533898443624652, "kl": 0.2440185546875, "learning_rate": 4.4924859218538936e-07, "loss": 0.0002, "reward": 1.1536458507180214, "reward_std": 0.15141277946531773, "rewards/equation_reward_func": 0.15364583488553762, "rewards/format_reward_func": 1.0, "step": 104 }, { "completion_length": 43.97135519981384, "epoch": 0.05653333333333333, "grad_norm": 0.15993730837299722, "kl": 0.21624755859375, "learning_rate": 4.470519687568185e-07, "loss": 0.0002, "reward": 1.130208358168602, "reward_std": 0.1776336650364101, "rewards/equation_reward_func": 0.13020833721384406, "rewards/format_reward_func": 1.0, "step": 106 }, { "completion_length": 44.664063692092896, "epoch": 0.0576, "grad_norm": 0.15852258859589255, "kl": 0.24371337890625, "learning_rate": 4.4481442302960923e-07, "loss": 0.0002, "reward": 1.0859375298023224, "reward_std": 0.11372047895565629, "rewards/equation_reward_func": 0.0885416679084301, "rewards/format_reward_func": 0.9973958358168602, "step": 108 }, { "completion_length": 45.56770896911621, "epoch": 0.058666666666666666, "grad_norm": 0.2312788417421762, "kl": 0.59844970703125, "learning_rate": 4.4253641968074505e-07, "loss": 0.0006, "reward": 1.1145833656191826, "reward_std": 0.19218612927943468, "rewards/equation_reward_func": 0.11718750442378223, "rewards/format_reward_func": 0.9973958358168602, "step": 110 }, { "completion_length": 45.84895992279053, "epoch": 0.05973333333333333, "grad_norm": 0.19052556511731025, "kl": 0.196533203125, "learning_rate": 4.402184317891501e-07, "loss": 0.0002, "reward": 1.0859375149011612, "reward_std": 0.10775277810171247, "rewards/equation_reward_func": 0.0859375016298145, "rewards/format_reward_func": 1.0, "step": 112 }, { "completion_length": 45.804689168930054, "epoch": 0.0608, "grad_norm": 0.16234373693343537, "kl": 0.22698974609375, "learning_rate": 4.37860940737443e-07, "loss": 0.0002, "reward": 1.1223958656191826, "reward_std": 0.10468817735090852, "rewards/equation_reward_func": 0.12239583698101342, "rewards/format_reward_func": 1.0, "step": 114 }, { "completion_length": 45.35416793823242, "epoch": 0.06186666666666667, "grad_norm": 0.22634476300945777, "kl": 0.2115478515625, "learning_rate": 4.354644361119671e-07, "loss": 0.0002, "reward": 1.0885416865348816, "reward_std": 0.12379553122445941, "rewards/equation_reward_func": 0.08854166767559946, "rewards/format_reward_func": 1.0, "step": 116 }, { "completion_length": 45.61198019981384, "epoch": 0.06293333333333333, "grad_norm": 0.21820113853204484, "kl": 0.3489990234375, "learning_rate": 4.3302941560111716e-07, "loss": 0.0003, "reward": 1.1119791939854622, "reward_std": 0.13397203059867024, "rewards/equation_reward_func": 0.11197916860692203, "rewards/format_reward_func": 1.0, "step": 118 }, { "completion_length": 44.20833468437195, "epoch": 0.064, "grad_norm": 0.2387693659050214, "kl": 0.21429443359375, "learning_rate": 4.3055638489198236e-07, "loss": 0.0002, "reward": 1.0833333656191826, "reward_std": 0.11888702632859349, "rewards/equation_reward_func": 0.08333333511836827, "rewards/format_reward_func": 1.0, "step": 120 }, { "completion_length": 44.02083468437195, "epoch": 0.06506666666666666, "grad_norm": 0.21362033365285313, "kl": 0.21478271484375, "learning_rate": 4.280458575653296e-07, "loss": 0.0002, "reward": 1.0937500223517418, "reward_std": 0.09985290700569749, "rewards/equation_reward_func": 0.09375000302679837, "rewards/format_reward_func": 1.0, "step": 122 }, { "completion_length": 45.31770944595337, "epoch": 0.06613333333333334, "grad_norm": 0.14881831765766107, "kl": 0.22314453125, "learning_rate": 4.2549835498894665e-07, "loss": 0.0002, "reward": 1.0703125149011612, "reward_std": 0.0941580655053258, "rewards/equation_reward_func": 0.07031250093132257, "rewards/format_reward_func": 1.0, "step": 124 }, { "completion_length": 45.281251430511475, "epoch": 0.0672, "grad_norm": 0.17735570373907916, "kl": 0.1910400390625, "learning_rate": 4.229144062093679e-07, "loss": 0.0002, "reward": 1.1510417014360428, "reward_std": 0.1525510959327221, "rewards/equation_reward_func": 0.15104167046956718, "rewards/format_reward_func": 1.0, "step": 126 }, { "completion_length": 46.502605676651, "epoch": 0.06826666666666667, "grad_norm": 0.21334686547504042, "kl": 0.2138671875, "learning_rate": 4.2029454784200675e-07, "loss": 0.0002, "reward": 1.091145858168602, "reward_std": 0.14115716284140944, "rewards/equation_reward_func": 0.09635416767559946, "rewards/format_reward_func": 0.9947916716337204, "step": 128 }, { "completion_length": 46.296876430511475, "epoch": 0.06933333333333333, "grad_norm": 0.25099329091191924, "kl": 0.2186279296875, "learning_rate": 4.1763932395971433e-07, "loss": 0.0002, "reward": 1.125000037252903, "reward_std": 0.1483498103916645, "rewards/equation_reward_func": 0.12760417093522847, "rewards/format_reward_func": 0.9973958358168602, "step": 130 }, { "completion_length": 44.74739694595337, "epoch": 0.0704, "grad_norm": 0.1981837661591498, "kl": 0.19793701171875, "learning_rate": 4.1494928597979117e-07, "loss": 0.0002, "reward": 1.1145833507180214, "reward_std": 0.1336184199899435, "rewards/equation_reward_func": 0.1171875016298145, "rewards/format_reward_func": 0.9973958358168602, "step": 132 }, { "completion_length": 47.390626430511475, "epoch": 0.07146666666666666, "grad_norm": 0.1835328837015611, "kl": 0.20135498046875, "learning_rate": 4.122249925494726e-07, "loss": 0.0002, "reward": 1.0911458730697632, "reward_std": 0.1366065163165331, "rewards/equation_reward_func": 0.09375000279396772, "rewards/format_reward_func": 0.9973958358168602, "step": 134 }, { "completion_length": 44.554689168930054, "epoch": 0.07253333333333334, "grad_norm": 0.20159012545509752, "kl": 0.22216796875, "learning_rate": 4.094670094299131e-07, "loss": 0.0002, "reward": 1.156250037252903, "reward_std": 0.14493323443457484, "rewards/equation_reward_func": 0.1588541732635349, "rewards/format_reward_func": 0.9973958358168602, "step": 136 }, { "completion_length": 44.72656440734863, "epoch": 0.0736, "grad_norm": 0.11786284329618611, "kl": 0.2099609375, "learning_rate": 4.066759093786931e-07, "loss": 0.0002, "reward": 1.177083358168602, "reward_std": 0.1451870333403349, "rewards/equation_reward_func": 0.17708333814516664, "rewards/format_reward_func": 1.0, "step": 138 }, { "completion_length": 45.02864742279053, "epoch": 0.07466666666666667, "grad_norm": 0.22367961788022572, "kl": 0.2369384765625, "learning_rate": 4.038522720308732e-07, "loss": 0.0002, "reward": 1.119791716337204, "reward_std": 0.13678119610995054, "rewards/equation_reward_func": 0.11979166977107525, "rewards/format_reward_func": 1.0, "step": 140 }, { "completion_length": 45.30989670753479, "epoch": 0.07573333333333333, "grad_norm": 0.14269442344109934, "kl": 0.2017822265625, "learning_rate": 4.009966837786194e-07, "loss": 0.0002, "reward": 1.0677083507180214, "reward_std": 0.09301975090056658, "rewards/equation_reward_func": 0.06770833441987634, "rewards/format_reward_func": 1.0, "step": 142 }, { "completion_length": 45.94270968437195, "epoch": 0.0768, "grad_norm": 0.24577923545533975, "kl": 0.7618408203125, "learning_rate": 3.981097376494259e-07, "loss": 0.0008, "reward": 1.1380208432674408, "reward_std": 0.1372155612334609, "rewards/equation_reward_func": 0.14062500069849193, "rewards/format_reward_func": 0.9973958358168602, "step": 144 }, { "completion_length": 47.07812547683716, "epoch": 0.07786666666666667, "grad_norm": 0.19129102899241263, "kl": 0.21478271484375, "learning_rate": 3.951920331829592e-07, "loss": 0.0002, "reward": 1.0885417014360428, "reward_std": 0.11959685944020748, "rewards/equation_reward_func": 0.09114583535119891, "rewards/format_reward_func": 0.9973958358168602, "step": 146 }, { "completion_length": 45.51302218437195, "epoch": 0.07893333333333333, "grad_norm": 0.21814326010845567, "kl": 0.2347412109375, "learning_rate": 3.922441763065506e-07, "loss": 0.0002, "reward": 1.1093750298023224, "reward_std": 0.1479919538833201, "rewards/equation_reward_func": 0.10937500116415322, "rewards/format_reward_func": 1.0, "step": 148 }, { "completion_length": 45.59635543823242, "epoch": 0.08, "grad_norm": 0.18274820151952206, "kl": 0.2232666015625, "learning_rate": 3.8926677920936093e-07, "loss": 0.0002, "reward": 1.0807292014360428, "reward_std": 0.1173159833997488, "rewards/equation_reward_func": 0.08072916837409139, "rewards/format_reward_func": 1.0, "step": 150 }, { "completion_length": 45.554688930511475, "epoch": 0.08106666666666666, "grad_norm": 0.15633525103555487, "kl": 0.2222900390625, "learning_rate": 3.862604602152464e-07, "loss": 0.0002, "reward": 1.1171875223517418, "reward_std": 0.11152132926508784, "rewards/equation_reward_func": 0.11979166977107525, "rewards/format_reward_func": 0.9973958358168602, "step": 152 }, { "completion_length": 46.007813692092896, "epoch": 0.08213333333333334, "grad_norm": 0.19415601668961927, "kl": 0.3138427734375, "learning_rate": 3.8322584365434934e-07, "loss": 0.0003, "reward": 1.1145833656191826, "reward_std": 0.1543982638977468, "rewards/equation_reward_func": 0.11718750325962901, "rewards/format_reward_func": 0.9973958358168602, "step": 154 }, { "completion_length": 46.99739694595337, "epoch": 0.0832, "grad_norm": 0.14577695713107947, "kl": 0.24224853515625, "learning_rate": 3.8016355973344173e-07, "loss": 0.0002, "reward": 1.0598958656191826, "reward_std": 0.09180068224668503, "rewards/equation_reward_func": 0.06250000209547579, "rewards/format_reward_func": 0.9973958358168602, "step": 156 }, { "completion_length": 46.22135543823242, "epoch": 0.08426666666666667, "grad_norm": 0.21784331239552168, "kl": 0.22943115234375, "learning_rate": 3.7707424440504863e-07, "loss": 0.0002, "reward": 1.1484375223517418, "reward_std": 0.11511683976277709, "rewards/equation_reward_func": 0.14843750465661287, "rewards/format_reward_func": 1.0, "step": 158 }, { "completion_length": 46.17708444595337, "epoch": 0.08533333333333333, "grad_norm": 0.24049435923447107, "kl": 0.27606201171875, "learning_rate": 3.739585392353787e-07, "loss": 0.0003, "reward": 1.132812537252903, "reward_std": 0.15746123250573874, "rewards/equation_reward_func": 0.132812503259629, "rewards/format_reward_func": 1.0, "step": 160 }, { "completion_length": 46.359375953674316, "epoch": 0.0864, "grad_norm": 0.2193554833555193, "kl": 0.2012939453125, "learning_rate": 3.7081709127108767e-07, "loss": 0.0002, "reward": 1.1067708805203438, "reward_std": 0.16360786044970155, "rewards/equation_reward_func": 0.10937500325962901, "rewards/format_reward_func": 0.9973958358168602, "step": 162 }, { "completion_length": 45.882813930511475, "epoch": 0.08746666666666666, "grad_norm": 0.18492158245762613, "kl": 0.2122802734375, "learning_rate": 3.6765055290490513e-07, "loss": 0.0002, "reward": 1.1041667088866234, "reward_std": 0.14379328675568104, "rewards/equation_reward_func": 0.10416667093522847, "rewards/format_reward_func": 1.0, "step": 164 }, { "completion_length": 47.39583468437195, "epoch": 0.08853333333333334, "grad_norm": 0.2878383465739314, "kl": 0.24993896484375, "learning_rate": 3.644595817401501e-07, "loss": 0.0003, "reward": 1.101562537252903, "reward_std": 0.1667499477043748, "rewards/equation_reward_func": 0.10416667000390589, "rewards/format_reward_func": 0.9973958358168602, "step": 166 }, { "completion_length": 46.401043176651, "epoch": 0.0896, "grad_norm": 0.22390708828311653, "kl": 0.22808837890625, "learning_rate": 3.6124484045416483e-07, "loss": 0.0002, "reward": 1.1171875298023224, "reward_std": 0.17219262197613716, "rewards/equation_reward_func": 0.11979166977107525, "rewards/format_reward_func": 0.9973958358168602, "step": 168 }, { "completion_length": 48.34895944595337, "epoch": 0.09066666666666667, "grad_norm": 0.20272961863237604, "kl": 0.23046875, "learning_rate": 3.580069966606949e-07, "loss": 0.0002, "reward": 1.1145833656191826, "reward_std": 0.11888703191652894, "rewards/equation_reward_func": 0.11458333721384406, "rewards/format_reward_func": 1.0, "step": 170 }, { "completion_length": 48.83333396911621, "epoch": 0.09173333333333333, "grad_norm": 0.19966493587754258, "kl": 0.19439697265625, "learning_rate": 3.547467227712444e-07, "loss": 0.0002, "reward": 1.1119792014360428, "reward_std": 0.15475187450647354, "rewards/equation_reward_func": 0.11197917000390589, "rewards/format_reward_func": 1.0, "step": 172 }, { "completion_length": 49.828126192092896, "epoch": 0.0928, "grad_norm": 0.2062659396560917, "kl": 0.189208984375, "learning_rate": 3.5146469585543386e-07, "loss": 0.0002, "reward": 1.1119792088866234, "reward_std": 0.14019352989271283, "rewards/equation_reward_func": 0.11197917093522847, "rewards/format_reward_func": 1.0, "step": 174 }, { "completion_length": 50.174480676651, "epoch": 0.09386666666666667, "grad_norm": 0.18081037831493624, "kl": 0.1900634765625, "learning_rate": 3.481615975003922e-07, "loss": 0.0002, "reward": 1.1380208656191826, "reward_std": 0.19034059438854456, "rewards/equation_reward_func": 0.1380208362825215, "rewards/format_reward_func": 1.0, "step": 176 }, { "completion_length": 51.210939168930054, "epoch": 0.09493333333333333, "grad_norm": 0.17579198600080073, "kl": 0.20147705078125, "learning_rate": 3.448381136692089e-07, "loss": 0.0002, "reward": 1.1145833730697632, "reward_std": 0.13870585104450583, "rewards/equation_reward_func": 0.11458333651535213, "rewards/format_reward_func": 1.0, "step": 178 }, { "completion_length": 51.36979293823242, "epoch": 0.096, "grad_norm": 0.18254205979883245, "kl": 0.221923828125, "learning_rate": 3.4149493455847897e-07, "loss": 0.0002, "reward": 1.0989583656191826, "reward_std": 0.10924306651577353, "rewards/equation_reward_func": 0.09895833674818277, "rewards/format_reward_func": 1.0, "step": 180 }, { "completion_length": 51.070313692092896, "epoch": 0.09706666666666666, "grad_norm": 0.2087922795870936, "kl": 0.18853759765625, "learning_rate": 3.3813275445496766e-07, "loss": 0.0002, "reward": 1.1067708656191826, "reward_std": 0.15386572387069464, "rewards/equation_reward_func": 0.10677083721384406, "rewards/format_reward_func": 1.0, "step": 182 }, { "completion_length": 52.156251430511475, "epoch": 0.09813333333333334, "grad_norm": 0.15534013320671317, "kl": 0.19378662109375, "learning_rate": 3.347522715914262e-07, "loss": 0.0002, "reward": 1.0937500298023224, "reward_std": 0.11073498986661434, "rewards/equation_reward_func": 0.09375000279396772, "rewards/format_reward_func": 1.0, "step": 184 }, { "completion_length": 51.320313930511475, "epoch": 0.0992, "grad_norm": 0.1262123444893106, "kl": 0.228515625, "learning_rate": 3.313541880015877e-07, "loss": 0.0002, "reward": 1.1822917014360428, "reward_std": 0.11888702679425478, "rewards/equation_reward_func": 0.1822916737291962, "rewards/format_reward_func": 1.0, "step": 186 }, { "completion_length": 52.42448019981384, "epoch": 0.10026666666666667, "grad_norm": 0.1430986027890787, "kl": 0.237060546875, "learning_rate": 3.279392093743747e-07, "loss": 0.0002, "reward": 1.1145833730697632, "reward_std": 0.14404708426445723, "rewards/equation_reward_func": 0.11458333814516664, "rewards/format_reward_func": 1.0, "step": 188 }, { "completion_length": 51.20052170753479, "epoch": 0.10133333333333333, "grad_norm": 0.20439810248884324, "kl": 0.21112060546875, "learning_rate": 3.245080449073459e-07, "loss": 0.0002, "reward": 1.132812537252903, "reward_std": 0.17279839795082808, "rewards/equation_reward_func": 0.13281250605359674, "rewards/format_reward_func": 1.0, "step": 190 }, { "completion_length": 52.40885543823242, "epoch": 0.1024, "grad_norm": 0.1965605802630599, "kl": 0.17791748046875, "learning_rate": 3.210614071594162e-07, "loss": 0.0002, "reward": 1.1458333656191826, "reward_std": 0.1817574673332274, "rewards/equation_reward_func": 0.14583333604969084, "rewards/format_reward_func": 1.0, "step": 192 }, { "completion_length": 53.968751668930054, "epoch": 0.10346666666666667, "grad_norm": 0.23763193671091185, "kl": 0.20513916015625, "learning_rate": 3.1760001190287695e-07, "loss": 0.0002, "reward": 1.1171875298023224, "reward_std": 0.15158909326419234, "rewards/equation_reward_func": 0.1171875037252903, "rewards/format_reward_func": 1.0, "step": 194 }, { "completion_length": 52.812501430511475, "epoch": 0.10453333333333334, "grad_norm": 0.17800547807143347, "kl": 0.1702880859375, "learning_rate": 3.141245779747502e-07, "loss": 0.0002, "reward": 1.161458358168602, "reward_std": 0.21051041642203927, "rewards/equation_reward_func": 0.16145833651535213, "rewards/format_reward_func": 1.0, "step": 196 }, { "completion_length": 51.90364742279053, "epoch": 0.1056, "grad_norm": 0.2064774084034785, "kl": 0.19232177734375, "learning_rate": 3.106358271275056e-07, "loss": 0.0002, "reward": 1.171875037252903, "reward_std": 0.20094394078478217, "rewards/equation_reward_func": 0.17187500349245965, "rewards/format_reward_func": 1.0, "step": 198 }, { "completion_length": 52.158855676651, "epoch": 0.10666666666666667, "grad_norm": 0.184608288760905, "kl": 0.187255859375, "learning_rate": 3.0713448387917227e-07, "loss": 0.0002, "reward": 1.1276042014360428, "reward_std": 0.1629039072431624, "rewards/equation_reward_func": 0.1276041711680591, "rewards/format_reward_func": 1.0, "step": 200 }, { "completion_length": 51.776043176651, "epoch": 0.10773333333333333, "grad_norm": 0.21803004520447924, "kl": 0.20123291015625, "learning_rate": 3.0362127536287636e-07, "loss": 0.0002, "reward": 1.1822917088866234, "reward_std": 0.16254702908918262, "rewards/equation_reward_func": 0.18229167419485748, "rewards/format_reward_func": 1.0, "step": 202 }, { "completion_length": 51.91666793823242, "epoch": 0.1088, "grad_norm": 0.18447509633488482, "kl": 0.20062255859375, "learning_rate": 3.0009693117583523e-07, "loss": 0.0002, "reward": 1.080729179084301, "reward_std": 0.14440069487318397, "rewards/equation_reward_func": 0.08333333441987634, "rewards/format_reward_func": 0.9973958358168602, "step": 204 }, { "completion_length": 52.398438930511475, "epoch": 0.10986666666666667, "grad_norm": 0.2229206997835387, "kl": 0.23052978515625, "learning_rate": 2.965621832278401e-07, "loss": 0.0002, "reward": 1.1380208805203438, "reward_std": 0.16973706847056746, "rewards/equation_reward_func": 0.13802083698101342, "rewards/format_reward_func": 1.0, "step": 206 }, { "completion_length": 52.710938692092896, "epoch": 0.11093333333333333, "grad_norm": 0.14734135218225045, "kl": 0.19921875, "learning_rate": 2.9301776558925875e-07, "loss": 0.0002, "reward": 1.0989583507180214, "reward_std": 0.12650489015504718, "rewards/equation_reward_func": 0.09895833511836827, "rewards/format_reward_func": 1.0, "step": 208 }, { "completion_length": 52.140626430511475, "epoch": 0.112, "grad_norm": 0.1687353946337615, "kl": 0.21435546875, "learning_rate": 2.894644143385885e-07, "loss": 0.0002, "reward": 1.1015625298023224, "reward_std": 0.14098411658778787, "rewards/equation_reward_func": 0.10156250349245965, "rewards/format_reward_func": 1.0, "step": 210 }, { "completion_length": 53.45833468437195, "epoch": 0.11306666666666666, "grad_norm": 0.15808793530127088, "kl": 0.19915771484375, "learning_rate": 2.859028674095937e-07, "loss": 0.0002, "reward": 1.0572916865348816, "reward_std": 0.08828429412096739, "rewards/equation_reward_func": 0.05729166744276881, "rewards/format_reward_func": 1.0, "step": 212 }, { "completion_length": 52.619793176651, "epoch": 0.11413333333333334, "grad_norm": 0.19253308864646929, "kl": 0.188232421875, "learning_rate": 2.823338644380566e-07, "loss": 0.0002, "reward": 1.1588541939854622, "reward_std": 0.1635096836835146, "rewards/equation_reward_func": 0.15885417140088975, "rewards/format_reward_func": 1.0, "step": 214 }, { "completion_length": 52.255210161209106, "epoch": 0.1152, "grad_norm": 0.24083809626870048, "kl": 0.20391845703125, "learning_rate": 2.7875814660817504e-07, "loss": 0.0002, "reward": 1.091145858168602, "reward_std": 0.1561423558741808, "rewards/equation_reward_func": 0.09375000093132257, "rewards/format_reward_func": 0.9973958358168602, "step": 216 }, { "completion_length": 52.28385519981384, "epoch": 0.11626666666666667, "grad_norm": 0.20187979910979093, "kl": 0.38525390625, "learning_rate": 2.751764564986396e-07, "loss": 0.0004, "reward": 1.101562537252903, "reward_std": 0.16439583525061607, "rewards/equation_reward_func": 0.10677083558402956, "rewards/format_reward_func": 0.9947916716337204, "step": 218 }, { "completion_length": 53.070313692092896, "epoch": 0.11733333333333333, "grad_norm": 0.17926301782298698, "kl": 0.21136474609375, "learning_rate": 2.715895379284194e-07, "loss": 0.0002, "reward": 1.0911458656191826, "reward_std": 0.1521200006827712, "rewards/equation_reward_func": 0.09114583488553762, "rewards/format_reward_func": 1.0, "step": 220 }, { "completion_length": 52.690105676651, "epoch": 0.1184, "grad_norm": 0.15533228660785858, "kl": 0.19342041015625, "learning_rate": 2.6799813580229174e-07, "loss": 0.0002, "reward": 1.1614583730697632, "reward_std": 0.1649999739602208, "rewards/equation_reward_func": 0.16406250721774995, "rewards/format_reward_func": 0.9973958358168602, "step": 222 }, { "completion_length": 52.828126192092896, "epoch": 0.11946666666666667, "grad_norm": 0.19751493038075355, "kl": 0.30401611328125, "learning_rate": 2.6440299595614606e-07, "loss": 0.0003, "reward": 1.1276042088866234, "reward_std": 0.15816845558583736, "rewards/equation_reward_func": 0.12760417209938169, "rewards/format_reward_func": 1.0, "step": 224 }, { "completion_length": 53.20573043823242, "epoch": 0.12053333333333334, "grad_norm": 0.21915930241414958, "kl": 0.22528076171875, "learning_rate": 2.6080486500209347e-07, "loss": 0.0002, "reward": 1.1041666865348816, "reward_std": 0.11888702772557735, "rewards/equation_reward_func": 0.1067708358168602, "rewards/format_reward_func": 0.9973958358168602, "step": 226 }, { "completion_length": 52.81770920753479, "epoch": 0.1216, "grad_norm": 0.14977686548839603, "kl": 0.1834716796875, "learning_rate": 2.572044901734166e-07, "loss": 0.0002, "reward": 1.1380208656191826, "reward_std": 0.1404499444179237, "rewards/equation_reward_func": 0.138020837912336, "rewards/format_reward_func": 1.0, "step": 228 }, { "completion_length": 51.85677218437195, "epoch": 0.12266666666666666, "grad_norm": 0.17821214679465763, "kl": 0.18194580078125, "learning_rate": 2.536026191693893e-07, "loss": 0.0002, "reward": 1.1510416939854622, "reward_std": 0.17009067768231034, "rewards/equation_reward_func": 0.15104167046956718, "rewards/format_reward_func": 1.0, "step": 230 }, { "completion_length": 51.55729269981384, "epoch": 0.12373333333333333, "grad_norm": 0.23137257100096653, "kl": 0.24261474609375, "learning_rate": 2.5e-07, "loss": 0.0002, "reward": 1.1666667014360428, "reward_std": 0.18595874728634953, "rewards/equation_reward_func": 0.1666666737291962, "rewards/format_reward_func": 1.0, "step": 232 }, { "completion_length": 52.67708468437195, "epoch": 0.1248, "grad_norm": 0.19279391734084148, "kl": 0.177001953125, "learning_rate": 2.4639738083061073e-07, "loss": 0.0002, "reward": 1.1223958730697632, "reward_std": 0.1664935341104865, "rewards/equation_reward_func": 0.12239583721384406, "rewards/format_reward_func": 1.0, "step": 234 }, { "completion_length": 52.98958468437195, "epoch": 0.12586666666666665, "grad_norm": 0.15143571679180334, "kl": 0.1856689453125, "learning_rate": 2.4279550982658345e-07, "loss": 0.0002, "reward": 1.138020858168602, "reward_std": 0.1319492026232183, "rewards/equation_reward_func": 0.1380208374466747, "rewards/format_reward_func": 1.0, "step": 236 }, { "completion_length": 50.99739670753479, "epoch": 0.12693333333333334, "grad_norm": 0.22787357517371357, "kl": 0.1998291015625, "learning_rate": 2.3919513499790646e-07, "loss": 0.0002, "reward": 1.1197917014360428, "reward_std": 0.14380546379834414, "rewards/equation_reward_func": 0.12239583698101342, "rewards/format_reward_func": 0.9973958358168602, "step": 238 }, { "completion_length": 52.351563930511475, "epoch": 0.128, "grad_norm": 0.14580546119741225, "kl": 0.22467041015625, "learning_rate": 2.3559700404385394e-07, "loss": 0.0002, "reward": 1.0598958656191826, "reward_std": 0.10504014790058136, "rewards/equation_reward_func": 0.059895834885537624, "rewards/format_reward_func": 1.0, "step": 240 }, { "completion_length": 51.82291793823242, "epoch": 0.12906666666666666, "grad_norm": 0.14158913115406083, "kl": 0.18646240234375, "learning_rate": 2.3200186419770823e-07, "loss": 0.0002, "reward": 1.1380208730697632, "reward_std": 0.1534329978749156, "rewards/equation_reward_func": 0.13802083721384406, "rewards/format_reward_func": 1.0, "step": 242 }, { "completion_length": 51.421876192092896, "epoch": 0.13013333333333332, "grad_norm": 0.22087661886865304, "kl": 0.2193603515625, "learning_rate": 2.284104620715807e-07, "loss": 0.0002, "reward": 1.0833333507180214, "reward_std": 0.125720186624676, "rewards/equation_reward_func": 0.08333333511836827, "rewards/format_reward_func": 1.0, "step": 244 }, { "completion_length": 52.179688453674316, "epoch": 0.1312, "grad_norm": 0.16870268080255363, "kl": 0.3653564453125, "learning_rate": 2.2482354350136043e-07, "loss": 0.0004, "reward": 1.0625000447034836, "reward_std": 0.12713723676279187, "rewards/equation_reward_func": 0.06510416930541396, "rewards/format_reward_func": 0.9973958358168602, "step": 246 }, { "completion_length": 52.390626192092896, "epoch": 0.13226666666666667, "grad_norm": 0.14530852488953735, "kl": 0.2147216796875, "learning_rate": 2.2124185339182496e-07, "loss": 0.0002, "reward": 1.1484375447034836, "reward_std": 0.16176396189257503, "rewards/equation_reward_func": 0.14843750442378223, "rewards/format_reward_func": 1.0, "step": 248 }, { "completion_length": 50.76041841506958, "epoch": 0.13333333333333333, "grad_norm": 0.22855594919537586, "kl": 0.20050048828125, "learning_rate": 2.1766613556194344e-07, "loss": 0.0002, "reward": 1.2005208730697632, "reward_std": 0.20069177821278572, "rewards/equation_reward_func": 0.2005208416376263, "rewards/format_reward_func": 1.0, "step": 250 }, { "completion_length": 52.320313692092896, "epoch": 0.1344, "grad_norm": 0.2415517772564965, "kl": 0.2119140625, "learning_rate": 2.1409713259040628e-07, "loss": 0.0002, "reward": 1.1432291939854622, "reward_std": 0.1831495789811015, "rewards/equation_reward_func": 0.1432291683740914, "rewards/format_reward_func": 1.0, "step": 252 }, { "completion_length": 53.713543176651, "epoch": 0.13546666666666668, "grad_norm": 0.15914212143213688, "kl": 0.21624755859375, "learning_rate": 2.105355856614115e-07, "loss": 0.0002, "reward": 1.101562537252903, "reward_std": 0.12432807218283415, "rewards/equation_reward_func": 0.10156250232830644, "rewards/format_reward_func": 1.0, "step": 254 }, { "completion_length": 52.90364694595337, "epoch": 0.13653333333333334, "grad_norm": 0.19034242360043133, "kl": 0.2158203125, "learning_rate": 2.069822344107413e-07, "loss": 0.0002, "reward": 1.1536458730697632, "reward_std": 0.17639390658587217, "rewards/equation_reward_func": 0.15625000419095159, "rewards/format_reward_func": 0.9973958358168602, "step": 256 }, { "completion_length": 53.86198091506958, "epoch": 0.1376, "grad_norm": 0.24513606248660633, "kl": 0.18865966796875, "learning_rate": 2.034378167721599e-07, "loss": 0.0002, "reward": 1.0859375298023224, "reward_std": 0.12966930214315653, "rewards/equation_reward_func": 0.08593750139698386, "rewards/format_reward_func": 1.0, "step": 258 }, { "completion_length": 52.54427218437195, "epoch": 0.13866666666666666, "grad_norm": 0.24848551325322174, "kl": 0.185546875, "learning_rate": 1.9990306882416485e-07, "loss": 0.0002, "reward": 1.1744791939854622, "reward_std": 0.1572823068127036, "rewards/equation_reward_func": 0.17447917070239782, "rewards/format_reward_func": 1.0, "step": 260 }, { "completion_length": 53.015625953674316, "epoch": 0.13973333333333332, "grad_norm": 0.22262610083917836, "kl": 0.20172119140625, "learning_rate": 1.9637872463712362e-07, "loss": 0.0002, "reward": 1.1432292088866234, "reward_std": 0.19831370282918215, "rewards/equation_reward_func": 0.14322917209938169, "rewards/format_reward_func": 1.0, "step": 262 }, { "completion_length": 54.210938453674316, "epoch": 0.1408, "grad_norm": 0.1794027751210474, "kl": 0.23321533203125, "learning_rate": 1.9286551612082773e-07, "loss": 0.0002, "reward": 1.0963541939854622, "reward_std": 0.13248010585084558, "rewards/equation_reward_func": 0.09635416977107525, "rewards/format_reward_func": 1.0, "step": 264 }, { "completion_length": 53.828126192092896, "epoch": 0.14186666666666667, "grad_norm": 0.18259812892353872, "kl": 0.20245361328125, "learning_rate": 1.8936417287249446e-07, "loss": 0.0002, "reward": 1.1250000447034836, "reward_std": 0.1474636597558856, "rewards/equation_reward_func": 0.12500000395812094, "rewards/format_reward_func": 1.0, "step": 266 }, { "completion_length": 52.562501430511475, "epoch": 0.14293333333333333, "grad_norm": 0.24921676446631377, "kl": 0.1982421875, "learning_rate": 1.8587542202524985e-07, "loss": 0.0002, "reward": 1.200520858168602, "reward_std": 0.18297653505578637, "rewards/equation_reward_func": 0.200520837912336, "rewards/format_reward_func": 1.0, "step": 268 }, { "completion_length": 53.94010519981384, "epoch": 0.144, "grad_norm": 0.19714793742591244, "kl": 0.18914794921875, "learning_rate": 1.82399988097123e-07, "loss": 0.0002, "reward": 1.125000037252903, "reward_std": 0.1472072503529489, "rewards/equation_reward_func": 0.12500000488944352, "rewards/format_reward_func": 1.0, "step": 270 }, { "completion_length": 54.406251192092896, "epoch": 0.14506666666666668, "grad_norm": 0.16973791015526338, "kl": 0.1890869140625, "learning_rate": 1.7893859284058378e-07, "loss": 0.0002, "reward": 1.1380208656191826, "reward_std": 0.11205223575234413, "rewards/equation_reward_func": 0.13802083698101342, "rewards/format_reward_func": 1.0, "step": 272 }, { "completion_length": 53.26302194595337, "epoch": 0.14613333333333334, "grad_norm": 0.20327426265511855, "kl": 0.2113037109375, "learning_rate": 1.7549195509265407e-07, "loss": 0.0002, "reward": 1.109375037252903, "reward_std": 0.14528520731255412, "rewards/equation_reward_func": 0.11197917116805911, "rewards/format_reward_func": 0.9973958358168602, "step": 274 }, { "completion_length": 53.588543176651, "epoch": 0.1472, "grad_norm": 0.19180730581931288, "kl": 0.2054443359375, "learning_rate": 1.7206079062562536e-07, "loss": 0.0002, "reward": 1.1822917014360428, "reward_std": 0.1643941984511912, "rewards/equation_reward_func": 0.18229167046956718, "rewards/format_reward_func": 1.0, "step": 276 }, { "completion_length": 54.61979293823242, "epoch": 0.14826666666666666, "grad_norm": 0.2653834699516297, "kl": 0.1865234375, "learning_rate": 1.6864581199841226e-07, "loss": 0.0002, "reward": 1.1979167014360428, "reward_std": 0.18140549072995782, "rewards/equation_reward_func": 0.19791667140088975, "rewards/format_reward_func": 1.0, "step": 278 }, { "completion_length": 53.97395968437195, "epoch": 0.14933333333333335, "grad_norm": 0.26142387581207355, "kl": 0.19573974609375, "learning_rate": 1.6524772840857388e-07, "loss": 0.0002, "reward": 1.1484375298023224, "reward_std": 0.20208552666008472, "rewards/equation_reward_func": 0.148437503259629, "rewards/format_reward_func": 1.0, "step": 280 }, { "completion_length": 54.179688930511475, "epoch": 0.1504, "grad_norm": 0.1543914017100232, "kl": 0.20465087890625, "learning_rate": 1.6186724554503237e-07, "loss": 0.0002, "reward": 1.1588541939854622, "reward_std": 0.1389612853527069, "rewards/equation_reward_func": 0.15885417023673654, "rewards/format_reward_func": 1.0, "step": 282 }, { "completion_length": 54.72135543823242, "epoch": 0.15146666666666667, "grad_norm": 0.20935901318611044, "kl": 0.2032470703125, "learning_rate": 1.5850506544152103e-07, "loss": 0.0002, "reward": 1.1380208730697632, "reward_std": 0.14668059069663286, "rewards/equation_reward_func": 0.13802083861082792, "rewards/format_reward_func": 1.0, "step": 284 }, { "completion_length": 56.87239670753479, "epoch": 0.15253333333333333, "grad_norm": 0.198714634239171, "kl": 0.20599365234375, "learning_rate": 1.5516188633079107e-07, "loss": 0.0002, "reward": 1.1276041865348816, "reward_std": 0.10511502251029015, "rewards/equation_reward_func": 0.1276041716337204, "rewards/format_reward_func": 1.0, "step": 286 }, { "completion_length": 55.796875953674316, "epoch": 0.1536, "grad_norm": 0.19363272496423903, "kl": 0.2156982421875, "learning_rate": 1.5183840249960784e-07, "loss": 0.0002, "reward": 1.171875037252903, "reward_std": 0.1659636083059013, "rewards/equation_reward_func": 0.17447917233221233, "rewards/format_reward_func": 0.9973958358168602, "step": 288 }, { "completion_length": 56.611980676651, "epoch": 0.15466666666666667, "grad_norm": 0.2579729420426016, "kl": 0.19622802734375, "learning_rate": 1.4853530414456612e-07, "loss": 0.0002, "reward": 1.192708358168602, "reward_std": 0.1792004620656371, "rewards/equation_reward_func": 0.19270833884365857, "rewards/format_reward_func": 1.0, "step": 290 }, { "completion_length": 55.84895992279053, "epoch": 0.15573333333333333, "grad_norm": 0.1982128281172869, "kl": 0.20867919921875, "learning_rate": 1.4525327722875568e-07, "loss": 0.0002, "reward": 1.1015625298023224, "reward_std": 0.1330083985812962, "rewards/equation_reward_func": 0.1015625016298145, "rewards/format_reward_func": 1.0, "step": 292 }, { "completion_length": 55.71614718437195, "epoch": 0.1568, "grad_norm": 0.23193236770472453, "kl": 0.21417236328125, "learning_rate": 1.4199300333930515e-07, "loss": 0.0002, "reward": 1.1588542088866234, "reward_std": 0.1723656700924039, "rewards/equation_reward_func": 0.1588541732635349, "rewards/format_reward_func": 1.0, "step": 294 }, { "completion_length": 56.80208468437195, "epoch": 0.15786666666666666, "grad_norm": 0.18074332848087488, "kl": 0.2083740234375, "learning_rate": 1.3875515954583523e-07, "loss": 0.0002, "reward": 1.1432292014360428, "reward_std": 0.1035482264123857, "rewards/equation_reward_func": 0.14322917209938169, "rewards/format_reward_func": 1.0, "step": 296 }, { "completion_length": 54.99479293823242, "epoch": 0.15893333333333334, "grad_norm": 0.23848033310887906, "kl": 0.22198486328125, "learning_rate": 1.3554041825985e-07, "loss": 0.0002, "reward": 1.1432292014360428, "reward_std": 0.13624865701422095, "rewards/equation_reward_func": 0.14322917233221233, "rewards/format_reward_func": 1.0, "step": 298 }, { "completion_length": 57.58333420753479, "epoch": 0.16, "grad_norm": 0.20740052313812263, "kl": 0.22088623046875, "learning_rate": 1.323494470950949e-07, "loss": 0.0002, "reward": 1.0937500149011612, "reward_std": 0.11923900293186307, "rewards/equation_reward_func": 0.0937500016298145, "rewards/format_reward_func": 1.0, "step": 300 }, { "completion_length": 56.468751430511475, "epoch": 0.16106666666666666, "grad_norm": 0.2225036708029395, "kl": 0.20849609375, "learning_rate": 1.2918290872891236e-07, "loss": 0.0002, "reward": 1.0885416939854622, "reward_std": 0.11415157234296203, "rewards/equation_reward_func": 0.09375000279396772, "rewards/format_reward_func": 0.9947916716337204, "step": 302 }, { "completion_length": 54.992188692092896, "epoch": 0.16213333333333332, "grad_norm": 0.20501829560165247, "kl": 0.1993408203125, "learning_rate": 1.260414607646213e-07, "loss": 0.0002, "reward": 1.1067708730697632, "reward_std": 0.12625272199511528, "rewards/equation_reward_func": 0.10677083698101342, "rewards/format_reward_func": 1.0, "step": 304 }, { "completion_length": 55.30729341506958, "epoch": 0.1632, "grad_norm": 0.1625796706131234, "kl": 0.21453857421875, "learning_rate": 1.2292575559495143e-07, "loss": 0.0002, "reward": 1.1197916939854622, "reward_std": 0.11205386929214001, "rewards/equation_reward_func": 0.12239583535119891, "rewards/format_reward_func": 0.9973958358168602, "step": 306 }, { "completion_length": 55.40364742279053, "epoch": 0.16426666666666667, "grad_norm": 0.17660631945613436, "kl": 0.19049072265625, "learning_rate": 1.1983644026655835e-07, "loss": 0.0002, "reward": 1.0781250223517418, "reward_std": 0.0990682034753263, "rewards/equation_reward_func": 0.07812500209547579, "rewards/format_reward_func": 1.0, "step": 308 }, { "completion_length": 56.37239670753479, "epoch": 0.16533333333333333, "grad_norm": 0.21887886658794795, "kl": 0.22833251953125, "learning_rate": 1.1677415634565066e-07, "loss": 0.0002, "reward": 1.1354166865348816, "reward_std": 0.1642960263416171, "rewards/equation_reward_func": 0.13541666977107525, "rewards/format_reward_func": 1.0, "step": 310 }, { "completion_length": 55.22395920753479, "epoch": 0.1664, "grad_norm": 0.30991099610944484, "kl": 0.19610595703125, "learning_rate": 1.1373953978475353e-07, "loss": 0.0002, "reward": 1.1406250298023224, "reward_std": 0.14536008005961776, "rewards/equation_reward_func": 0.14062500605359674, "rewards/format_reward_func": 1.0, "step": 312 }, { "completion_length": 55.109376192092896, "epoch": 0.16746666666666668, "grad_norm": 0.11748492375994124, "kl": 0.2703857421875, "learning_rate": 1.1073322079063913e-07, "loss": 0.0003, "reward": 1.1276041939854622, "reward_std": 0.11870646476745605, "rewards/equation_reward_func": 0.12760417046956718, "rewards/format_reward_func": 1.0, "step": 314 }, { "completion_length": 54.89323019981384, "epoch": 0.16853333333333334, "grad_norm": 0.2835236931065035, "kl": 0.23651123046875, "learning_rate": 1.0775582369344946e-07, "loss": 0.0002, "reward": 1.1562500223517418, "reward_std": 0.18165602022781968, "rewards/equation_reward_func": 0.1562500020954758, "rewards/format_reward_func": 1.0, "step": 316 }, { "completion_length": 54.95312571525574, "epoch": 0.1696, "grad_norm": 0.3033848386113242, "kl": 0.18084716796875, "learning_rate": 1.0480796681704077e-07, "loss": 0.0002, "reward": 1.171875037252903, "reward_std": 0.1689507276751101, "rewards/equation_reward_func": 0.17187500605359674, "rewards/format_reward_func": 1.0, "step": 318 }, { "completion_length": 55.18229293823242, "epoch": 0.17066666666666666, "grad_norm": 0.18904924808830093, "kl": 0.18798828125, "learning_rate": 1.018902623505741e-07, "loss": 0.0002, "reward": 1.1744792088866234, "reward_std": 0.14378903713077307, "rewards/equation_reward_func": 0.1744791716337204, "rewards/format_reward_func": 1.0, "step": 320 }, { "completion_length": 55.791668176651, "epoch": 0.17173333333333332, "grad_norm": 0.15824811484075788, "kl": 0.192626953125, "learning_rate": 9.900331622138063e-08, "loss": 0.0002, "reward": 1.1223958730697632, "reward_std": 0.12073256447911263, "rewards/equation_reward_func": 0.12239583767950535, "rewards/format_reward_func": 1.0, "step": 322 }, { "completion_length": 57.47135519981384, "epoch": 0.1728, "grad_norm": 0.24122866889709543, "kl": 0.273193359375, "learning_rate": 9.614772796912681e-08, "loss": 0.0003, "reward": 1.1536458656191826, "reward_std": 0.13116122921928763, "rewards/equation_reward_func": 0.15625000465661287, "rewards/format_reward_func": 0.9973958358168602, "step": 324 }, { "completion_length": 55.867188930511475, "epoch": 0.17386666666666667, "grad_norm": 0.2140944203573884, "kl": 0.19073486328125, "learning_rate": 9.332409062130686e-08, "loss": 0.0002, "reward": 1.1510416939854622, "reward_std": 0.17692383378744125, "rewards/equation_reward_func": 0.1510416711680591, "rewards/format_reward_func": 1.0, "step": 326 }, { "completion_length": 56.45573019981384, "epoch": 0.17493333333333333, "grad_norm": 0.25020509022355314, "kl": 0.20635986328125, "learning_rate": 9.053299057008699e-08, "loss": 0.0002, "reward": 1.1015625298023224, "reward_std": 0.1254680184647441, "rewards/equation_reward_func": 0.10416666860692203, "rewards/format_reward_func": 0.9973958358168602, "step": 328 }, { "completion_length": 55.67708444595337, "epoch": 0.176, "grad_norm": 0.23914885533951835, "kl": 0.19207763671875, "learning_rate": 8.777500745052743e-08, "loss": 0.0002, "reward": 1.1718750298023224, "reward_std": 0.15009553357958794, "rewards/equation_reward_func": 0.17187500465661287, "rewards/format_reward_func": 1.0, "step": 330 }, { "completion_length": 57.98958468437195, "epoch": 0.17706666666666668, "grad_norm": 0.1801495946567539, "kl": 0.20220947265625, "learning_rate": 8.505071402020892e-08, "loss": 0.0002, "reward": 1.1770833656191826, "reward_std": 0.11941793095320463, "rewards/equation_reward_func": 0.1796875053551048, "rewards/format_reward_func": 0.9973958358168602, "step": 332 }, { "completion_length": 57.226563692092896, "epoch": 0.17813333333333334, "grad_norm": 0.19524459206106992, "kl": 0.19586181640625, "learning_rate": 8.236067604028562e-08, "loss": 0.0002, "reward": 1.125000037252903, "reward_std": 0.10995029006153345, "rewards/equation_reward_func": 0.12760417093522847, "rewards/format_reward_func": 0.9973958358168602, "step": 334 }, { "completion_length": 55.335938930511475, "epoch": 0.1792, "grad_norm": 0.2559778596356376, "kl": 0.1851806640625, "learning_rate": 7.970545215799327e-08, "loss": 0.0002, "reward": 1.1614583730697632, "reward_std": 0.15176639100536704, "rewards/equation_reward_func": 0.1614583390764892, "rewards/format_reward_func": 1.0, "step": 336 }, { "completion_length": 57.507813692092896, "epoch": 0.18026666666666666, "grad_norm": 0.17799848022874795, "kl": 0.20086669921875, "learning_rate": 7.708559379063204e-08, "loss": 0.0002, "reward": 1.1093750298023224, "reward_std": 0.11755679547786713, "rewards/equation_reward_func": 0.11197917046956718, "rewards/format_reward_func": 0.9973958358168602, "step": 338 }, { "completion_length": 56.45833444595337, "epoch": 0.18133333333333335, "grad_norm": 0.13176298149720098, "kl": 0.1859130859375, "learning_rate": 7.45016450110534e-08, "loss": 0.0002, "reward": 1.161458358168602, "reward_std": 0.14746366580948234, "rewards/equation_reward_func": 0.16406250395812094, "rewards/format_reward_func": 0.9973958358168602, "step": 340 }, { "completion_length": 56.984376430511475, "epoch": 0.1824, "grad_norm": 0.08420346762402851, "kl": 0.18780517578125, "learning_rate": 7.195414243467029e-08, "loss": 0.0002, "reward": 1.0572916865348816, "reward_std": 0.0555838611908257, "rewards/equation_reward_func": 0.05729166860692203, "rewards/format_reward_func": 1.0, "step": 342 }, { "completion_length": 56.281251192092896, "epoch": 0.18346666666666667, "grad_norm": 0.1339259257169896, "kl": 0.19757080078125, "learning_rate": 6.944361510801763e-08, "loss": 0.0002, "reward": 1.1145833507180214, "reward_std": 0.11265964666381478, "rewards/equation_reward_func": 0.11458333628252149, "rewards/format_reward_func": 1.0, "step": 344 }, { "completion_length": 56.515626192092896, "epoch": 0.18453333333333333, "grad_norm": 0.24369984772040754, "kl": 0.20953369140625, "learning_rate": 6.697058439888283e-08, "loss": 0.0002, "reward": 1.164062537252903, "reward_std": 0.16614156123250723, "rewards/equation_reward_func": 0.1640625037252903, "rewards/format_reward_func": 1.0, "step": 346 }, { "completion_length": 56.27604269981384, "epoch": 0.1856, "grad_norm": 0.20891042464235796, "kl": 0.1956787109375, "learning_rate": 6.453556388803288e-08, "loss": 0.0002, "reward": 1.1510416939854622, "reward_std": 0.14159152610227466, "rewards/equation_reward_func": 0.15104167186655104, "rewards/format_reward_func": 1.0, "step": 348 }, { "completion_length": 56.265626430511475, "epoch": 0.18666666666666668, "grad_norm": 0.2013483142099634, "kl": 0.19561767578125, "learning_rate": 6.213905926255697e-08, "loss": 0.0002, "reward": 1.114583358168602, "reward_std": 0.097322478890419, "rewards/equation_reward_func": 0.11458333651535213, "rewards/format_reward_func": 1.0, "step": 350 }, { "completion_length": 54.901043176651, "epoch": 0.18773333333333334, "grad_norm": 0.18736870135125286, "kl": 0.34832763671875, "learning_rate": 5.978156821084987e-08, "loss": 0.0003, "reward": 1.1718750298023224, "reward_std": 0.14368922589346766, "rewards/equation_reward_func": 0.17187500488944352, "rewards/format_reward_func": 1.0, "step": 352 }, { "completion_length": 56.213542461395264, "epoch": 0.1888, "grad_norm": 0.23588576373730524, "kl": 0.19842529296875, "learning_rate": 5.7463580319254853e-08, "loss": 0.0002, "reward": 1.177083358168602, "reward_std": 0.18525153072550893, "rewards/equation_reward_func": 0.1770833358168602, "rewards/format_reward_func": 1.0, "step": 354 }, { "completion_length": 56.401043176651, "epoch": 0.18986666666666666, "grad_norm": 0.1965308569670095, "kl": 0.193115234375, "learning_rate": 5.518557697039081e-08, "loss": 0.0002, "reward": 1.1276041939854622, "reward_std": 0.10607865452766418, "rewards/equation_reward_func": 0.12760417186655104, "rewards/format_reward_func": 1.0, "step": 356 }, { "completion_length": 56.31770944595337, "epoch": 0.19093333333333334, "grad_norm": 0.24544345942440962, "kl": 0.21868896484375, "learning_rate": 5.294803124318145e-08, "loss": 0.0002, "reward": 1.1250000298023224, "reward_std": 0.15678852004930377, "rewards/equation_reward_func": 0.1276041695382446, "rewards/format_reward_func": 0.9973958358168602, "step": 358 }, { "completion_length": 55.739585161209106, "epoch": 0.192, "grad_norm": 0.25844244454008874, "kl": 0.234619140625, "learning_rate": 5.07514078146106e-08, "loss": 0.0002, "reward": 1.1328125298023224, "reward_std": 0.13668138859793544, "rewards/equation_reward_func": 0.13281250465661287, "rewards/format_reward_func": 1.0, "step": 360 }, { "completion_length": 56.58854269981384, "epoch": 0.19306666666666666, "grad_norm": 0.175480373166462, "kl": 0.2298583984375, "learning_rate": 4.859616286322094e-08, "loss": 0.0002, "reward": 1.1302083432674408, "reward_std": 0.11230767332017422, "rewards/equation_reward_func": 0.13020833488553762, "rewards/format_reward_func": 1.0, "step": 362 }, { "completion_length": 56.60677218437195, "epoch": 0.19413333333333332, "grad_norm": 0.3271596777219154, "kl": 0.192626953125, "learning_rate": 4.648274397437829e-08, "loss": 0.0002, "reward": 1.1067708656191826, "reward_std": 0.11528988601639867, "rewards/equation_reward_func": 0.10677083558402956, "rewards/format_reward_func": 1.0, "step": 364 }, { "completion_length": 56.658854961395264, "epoch": 0.1952, "grad_norm": 0.2951506047350438, "kl": 0.288818359375, "learning_rate": 4.4411590047320617e-08, "loss": 0.0003, "reward": 1.1328125298023224, "reward_std": 0.1543966280296445, "rewards/equation_reward_func": 0.1354166716337204, "rewards/format_reward_func": 0.9973958358168602, "step": 366 }, { "completion_length": 56.86458468437195, "epoch": 0.19626666666666667, "grad_norm": 0.1704950407789878, "kl": 0.2303466796875, "learning_rate": 4.2383131204010494e-08, "loss": 0.0002, "reward": 1.1041666939854622, "reward_std": 0.08031118754297495, "rewards/equation_reward_func": 0.10416666907258332, "rewards/format_reward_func": 1.0, "step": 368 }, { "completion_length": 56.02604293823242, "epoch": 0.19733333333333333, "grad_norm": 0.17572637332497476, "kl": 0.20947265625, "learning_rate": 4.039778869981064e-08, "loss": 0.0002, "reward": 1.1354167014360428, "reward_std": 0.11696237418800592, "rewards/equation_reward_func": 0.13541667046956718, "rewards/format_reward_func": 1.0, "step": 370 }, { "completion_length": 58.16666841506958, "epoch": 0.1984, "grad_norm": 0.16929728780013165, "kl": 0.23858642578125, "learning_rate": 3.845597483600049e-08, "loss": 0.0002, "reward": 1.140625037252903, "reward_std": 0.12678526248782873, "rewards/equation_reward_func": 0.1406250058207661, "rewards/format_reward_func": 1.0, "step": 372 }, { "completion_length": 56.390625953674316, "epoch": 0.19946666666666665, "grad_norm": 0.23023184690495188, "kl": 0.19927978515625, "learning_rate": 3.655809287415284e-08, "loss": 0.0002, "reward": 1.1822916939854622, "reward_std": 0.17535115545615554, "rewards/equation_reward_func": 0.18229167023673654, "rewards/format_reward_func": 1.0, "step": 374 }, { "completion_length": 57.822918176651, "epoch": 0.20053333333333334, "grad_norm": 0.17921347505393254, "kl": 0.20977783203125, "learning_rate": 3.4704536952387285e-08, "loss": 0.0002, "reward": 1.1640625298023224, "reward_std": 0.13212224887683988, "rewards/equation_reward_func": 0.16406250395812094, "rewards/format_reward_func": 1.0, "step": 376 }, { "completion_length": 57.23437571525574, "epoch": 0.2016, "grad_norm": 0.2242393332943885, "kl": 0.20806884765625, "learning_rate": 3.2895692003518575e-08, "loss": 0.0002, "reward": 1.1953125298023224, "reward_std": 0.1640438586473465, "rewards/equation_reward_func": 0.19531250442378223, "rewards/format_reward_func": 1.0, "step": 378 }, { "completion_length": 57.539063453674316, "epoch": 0.20266666666666666, "grad_norm": 0.2234153005175412, "kl": 0.2264404296875, "learning_rate": 3.113193367511635e-08, "loss": 0.0002, "reward": 1.1276042014360428, "reward_std": 0.13984416658058763, "rewards/equation_reward_func": 0.13020833884365857, "rewards/format_reward_func": 0.9973958358168602, "step": 380 }, { "completion_length": 56.906251430511475, "epoch": 0.20373333333333332, "grad_norm": 0.19389399900613372, "kl": 0.201416015625, "learning_rate": 2.9413628251493934e-08, "loss": 0.0002, "reward": 1.0833333656191826, "reward_std": 0.08461391646414995, "rewards/equation_reward_func": 0.0833333358168602, "rewards/format_reward_func": 1.0, "step": 382 }, { "completion_length": 55.69010519981384, "epoch": 0.2048, "grad_norm": 0.16073109173125164, "kl": 0.21087646484375, "learning_rate": 2.774113257764066e-08, "loss": 0.0002, "reward": 1.122395858168602, "reward_std": 0.10468817176297307, "rewards/equation_reward_func": 0.12239583651535213, "rewards/format_reward_func": 1.0, "step": 384 }, { "completion_length": 58.12239694595337, "epoch": 0.20586666666666667, "grad_norm": 0.16315603157541186, "kl": 0.21099853515625, "learning_rate": 2.611479398511518e-08, "loss": 0.0002, "reward": 1.0989583507180214, "reward_std": 0.12098472937941551, "rewards/equation_reward_func": 0.10156250139698386, "rewards/format_reward_func": 0.9973958358168602, "step": 386 }, { "completion_length": 56.40364694595337, "epoch": 0.20693333333333333, "grad_norm": 0.18228098703805926, "kl": 0.22320556640625, "learning_rate": 2.4534950219914057e-08, "loss": 0.0002, "reward": 1.1458333656191826, "reward_std": 0.15667489264160395, "rewards/equation_reward_func": 0.14843750488944352, "rewards/format_reward_func": 0.9973958358168602, "step": 388 }, { "completion_length": 56.335939168930054, "epoch": 0.208, "grad_norm": 0.08793205228078631, "kl": 0.22027587890625, "learning_rate": 2.300192937233128e-08, "loss": 0.0002, "reward": 1.145833358168602, "reward_std": 0.09170087426900864, "rewards/equation_reward_func": 0.14583333814516664, "rewards/format_reward_func": 1.0, "step": 390 }, { "completion_length": 57.601563930511475, "epoch": 0.20906666666666668, "grad_norm": 0.13829741360617928, "kl": 0.207763671875, "learning_rate": 2.1516049808822935e-08, "loss": 0.0002, "reward": 1.0963541939854622, "reward_std": 0.08522132784128189, "rewards/equation_reward_func": 0.09635416930541396, "rewards/format_reward_func": 1.0, "step": 392 }, { "completion_length": 56.835938453674316, "epoch": 0.21013333333333334, "grad_norm": 0.20152462319314116, "kl": 0.20361328125, "learning_rate": 2.007762010589098e-08, "loss": 0.0002, "reward": 1.1223958656191826, "reward_std": 0.15199717972427607, "rewards/equation_reward_func": 0.12500000465661287, "rewards/format_reward_func": 0.9973958358168602, "step": 394 }, { "completion_length": 57.429688453674316, "epoch": 0.2112, "grad_norm": 0.15920228598590455, "kl": 0.193359375, "learning_rate": 1.8686938986000627e-08, "loss": 0.0002, "reward": 1.1354166939854622, "reward_std": 0.1378197013400495, "rewards/equation_reward_func": 0.13541667093522847, "rewards/format_reward_func": 1.0, "step": 396 }, { "completion_length": 56.05989718437195, "epoch": 0.21226666666666666, "grad_norm": 0.2321801917334021, "kl": 0.1983642578125, "learning_rate": 1.734429525554365e-08, "loss": 0.0002, "reward": 1.1093750149011612, "reward_std": 0.12607543170452118, "rewards/equation_reward_func": 0.10937500186264515, "rewards/format_reward_func": 1.0, "step": 398 }, { "completion_length": 57.57552242279053, "epoch": 0.21333333333333335, "grad_norm": 0.21983985221412547, "kl": 0.19842529296875, "learning_rate": 1.604996774486145e-08, "loss": 0.0002, "reward": 1.2161458656191826, "reward_std": 0.1926204962655902, "rewards/equation_reward_func": 0.21614583977498114, "rewards/format_reward_func": 1.0, "step": 400 }, { "completion_length": 55.960938692092896, "epoch": 0.2144, "grad_norm": 0.26196521736280276, "kl": 0.20556640625, "learning_rate": 1.4804225250339281e-08, "loss": 0.0002, "reward": 1.2500000447034836, "reward_std": 0.1827184883877635, "rewards/equation_reward_func": 0.25000001140870154, "rewards/format_reward_func": 1.0, "step": 402 }, { "completion_length": 56.73177218437195, "epoch": 0.21546666666666667, "grad_norm": 0.15469340979183918, "kl": 0.1986083984375, "learning_rate": 1.360732647858498e-08, "loss": 0.0002, "reward": 1.0677083656191826, "reward_std": 0.08618659200146794, "rewards/equation_reward_func": 0.0677083358168602, "rewards/format_reward_func": 1.0, "step": 404 }, { "completion_length": 56.89843940734863, "epoch": 0.21653333333333333, "grad_norm": 0.23801117725189178, "kl": 0.20068359375, "learning_rate": 1.2459519992702311e-08, "loss": 0.0002, "reward": 1.218750037252903, "reward_std": 0.21339609054848552, "rewards/equation_reward_func": 0.21875000675208867, "rewards/format_reward_func": 1.0, "step": 406 }, { "completion_length": 57.031251192092896, "epoch": 0.2176, "grad_norm": 0.2651467420541166, "kl": 0.20458984375, "learning_rate": 1.1361044160671629e-08, "loss": 0.0002, "reward": 1.1640625298023224, "reward_std": 0.12432807171717286, "rewards/equation_reward_func": 0.16406250419095159, "rewards/format_reward_func": 1.0, "step": 408 }, { "completion_length": 57.26041793823242, "epoch": 0.21866666666666668, "grad_norm": 0.23371932864049302, "kl": 0.29351806640625, "learning_rate": 1.0312127105846947e-08, "loss": 0.0003, "reward": 1.1119792014360428, "reward_std": 0.14308181405067444, "rewards/equation_reward_func": 0.11197916930541396, "rewards/format_reward_func": 1.0, "step": 410 }, { "completion_length": 57.369792461395264, "epoch": 0.21973333333333334, "grad_norm": 0.1736174390883632, "kl": 0.19873046875, "learning_rate": 9.312986659581301e-09, "loss": 0.0002, "reward": 1.1562500298023224, "reward_std": 0.12151890201494098, "rewards/equation_reward_func": 0.1562500090803951, "rewards/format_reward_func": 1.0, "step": 412 }, { "completion_length": 56.98958444595337, "epoch": 0.2208, "grad_norm": 0.15941088538197615, "kl": 0.1998291015625, "learning_rate": 8.363830315988945e-09, "loss": 0.0002, "reward": 1.1354166939854622, "reward_std": 0.08215835923328996, "rewards/equation_reward_func": 0.13541667349636555, "rewards/format_reward_func": 1.0, "step": 414 }, { "completion_length": 56.79427218437195, "epoch": 0.22186666666666666, "grad_norm": 0.2139924970111357, "kl": 0.199951171875, "learning_rate": 7.46485518885462e-09, "loss": 0.0002, "reward": 1.1484375223517418, "reward_std": 0.1481725163757801, "rewards/equation_reward_func": 0.14843750349245965, "rewards/format_reward_func": 1.0, "step": 416 }, { "completion_length": 56.44270920753479, "epoch": 0.22293333333333334, "grad_norm": 0.23307793608390492, "kl": 0.43865966796875, "learning_rate": 6.616247970698319e-09, "loss": 0.0004, "reward": 1.2239583507180214, "reward_std": 0.1484246808104217, "rewards/equation_reward_func": 0.22395833721384406, "rewards/format_reward_func": 1.0, "step": 418 }, { "completion_length": 58.179688692092896, "epoch": 0.224, "grad_norm": 0.21251783571984495, "kl": 0.19537353515625, "learning_rate": 5.8181848940044855e-09, "loss": 0.0002, "reward": 1.1458333730697632, "reward_std": 0.13906109519302845, "rewards/equation_reward_func": 0.14583333767950535, "rewards/format_reward_func": 1.0, "step": 420 }, { "completion_length": 56.026043176651, "epoch": 0.22506666666666666, "grad_norm": 0.1951023187826417, "kl": 0.3018798828125, "learning_rate": 5.070831694623135e-09, "loss": 0.0003, "reward": 1.1692708730697632, "reward_std": 0.16852224431931973, "rewards/equation_reward_func": 0.16927084093913436, "rewards/format_reward_func": 1.0, "step": 422 }, { "completion_length": 57.281251430511475, "epoch": 0.22613333333333333, "grad_norm": 0.16558815637953483, "kl": 0.205078125, "learning_rate": 4.374343577351336e-09, "loss": 0.0002, "reward": 1.1276041865348816, "reward_std": 0.09337336057797074, "rewards/equation_reward_func": 0.12760416883975267, "rewards/format_reward_func": 1.0, "step": 424 }, { "completion_length": 57.273438453674316, "epoch": 0.2272, "grad_norm": 0.2828010199505921, "kl": 0.1973876953125, "learning_rate": 3.7288651837012745e-09, "loss": 0.0002, "reward": 1.1770833730697632, "reward_std": 0.15816681599244475, "rewards/equation_reward_func": 0.17708333930931985, "rewards/format_reward_func": 1.0, "step": 426 }, { "completion_length": 57.86458468437195, "epoch": 0.22826666666666667, "grad_norm": 0.16310761392861836, "kl": 0.20111083984375, "learning_rate": 3.134530561862081e-09, "loss": 0.0002, "reward": 1.140625037252903, "reward_std": 0.14361174451187253, "rewards/equation_reward_func": 0.14062500419095159, "rewards/format_reward_func": 1.0, "step": 428 }, { "completion_length": 56.289063453674316, "epoch": 0.22933333333333333, "grad_norm": 0.2579970264668867, "kl": 0.2320556640625, "learning_rate": 2.5914631388619103e-09, "loss": 0.0002, "reward": 1.1406250298023224, "reward_std": 0.10959831206128001, "rewards/equation_reward_func": 0.1406250037252903, "rewards/format_reward_func": 1.0, "step": 430 }, { "completion_length": 56.97135543823242, "epoch": 0.2304, "grad_norm": 0.2717261797447828, "kl": 0.19573974609375, "learning_rate": 2.0997756949353297e-09, "loss": 0.0002, "reward": 1.1718750298023224, "reward_std": 0.13361841812729836, "rewards/equation_reward_func": 0.17187500465661287, "rewards/format_reward_func": 1.0, "step": 432 }, { "completion_length": 56.51302146911621, "epoch": 0.23146666666666665, "grad_norm": 0.18185669781914815, "kl": 0.2061767578125, "learning_rate": 1.6595703401020844e-09, "loss": 0.0002, "reward": 1.1328125447034836, "reward_std": 0.10959667665883899, "rewards/equation_reward_func": 0.13281250512227416, "rewards/format_reward_func": 1.0, "step": 434 }, { "completion_length": 57.86198043823242, "epoch": 0.23253333333333334, "grad_norm": 0.2738736381853624, "kl": 0.21160888671875, "learning_rate": 1.2709384929615596e-09, "loss": 0.0002, "reward": 1.1848958730697632, "reward_std": 0.188415945507586, "rewards/equation_reward_func": 0.18489583861082792, "rewards/format_reward_func": 1.0, "step": 436 }, { "completion_length": 59.369793176651, "epoch": 0.2336, "grad_norm": 0.17477850475532822, "kl": 0.20587158203125, "learning_rate": 9.339608617077165e-10, "loss": 0.0002, "reward": 1.1223958656191826, "reward_std": 0.13273390335962176, "rewards/equation_reward_func": 0.12239583721384406, "rewards/format_reward_func": 1.0, "step": 438 }, { "completion_length": 56.815105676651, "epoch": 0.23466666666666666, "grad_norm": 0.3085306578565163, "kl": 0.23553466796875, "learning_rate": 6.487074273681114e-10, "loss": 0.0002, "reward": 1.1510417014360428, "reward_std": 0.17482286458835006, "rewards/equation_reward_func": 0.1510416695382446, "rewards/format_reward_func": 1.0, "step": 440 }, { "completion_length": 56.54166769981384, "epoch": 0.23573333333333332, "grad_norm": 0.2011170990973669, "kl": 0.2030029296875, "learning_rate": 4.152374292708538e-10, "loss": 0.0002, "reward": 1.1302083656191826, "reward_std": 0.12204980757087469, "rewards/equation_reward_func": 0.13020833721384406, "rewards/format_reward_func": 1.0, "step": 442 }, { "completion_length": 56.26041793823242, "epoch": 0.2368, "grad_norm": 0.2688813373112446, "kl": 0.21539306640625, "learning_rate": 2.3359935274214204e-10, "loss": 0.0002, "reward": 1.2239583656191826, "reward_std": 0.16631885152310133, "rewards/equation_reward_func": 0.2265625037252903, "rewards/format_reward_func": 0.9973958358168602, "step": 444 }, { "completion_length": 56.65885519981384, "epoch": 0.23786666666666667, "grad_norm": 0.197419015036114, "kl": 0.2901611328125, "learning_rate": 1.0383091903720665e-10, "loss": 0.0003, "reward": 1.0703125223517418, "reward_std": 0.07724821660667658, "rewards/equation_reward_func": 0.07291666814126074, "rewards/format_reward_func": 0.9973958358168602, "step": 446 }, { "completion_length": 57.031251668930054, "epoch": 0.23893333333333333, "grad_norm": 0.25032841927694754, "kl": 0.21551513671875, "learning_rate": 2.595907750671533e-11, "loss": 0.0002, "reward": 1.1927083730697632, "reward_std": 0.1517663886770606, "rewards/equation_reward_func": 0.1927083390764892, "rewards/format_reward_func": 1.0, "step": 448 }, { "completion_length": 57.27083444595337, "epoch": 0.24, "grad_norm": 0.22159697962120828, "kl": 0.21142578125, "learning_rate": 0.0, "loss": 0.0002, "reward": 1.161458358168602, "reward_std": 0.15973949525505304, "rewards/equation_reward_func": 0.1614583358168602, "rewards/format_reward_func": 1.0, "step": 450 }, { "epoch": 0.24, "step": 450, "total_flos": 0.0, "train_loss": 0.0001983640876704208, "train_runtime": 5270.959, "train_samples_per_second": 2.049, "train_steps_per_second": 0.085 } ], "logging_steps": 2, "max_steps": 450, "num_input_tokens_seen": 0, "num_train_epochs": 1, "save_steps": 25, "stateful_callbacks": { "TrainerControl": { "args": { "should_epoch_stop": false, "should_evaluate": false, "should_log": false, "should_save": true, "should_training_stop": true }, "attributes": {} } }, "total_flos": 0.0, "train_batch_size": 1, "trial_name": null, "trial_params": null }