gpt-5.6-sol

Script running with cell ID 308
Wall time 11.0 seconds
Output:

Script completed
Wall time 36.8 seconds
Output:
Warning: truncated output (original token count: 664)
Total output lines: 1

{"chunk_id":"1ad10b","wall_time_seconds":50.001178507,"session_id":62225,"original_token_count":1801,"output":"Warning: truncated output (original token count: 1801)\nTotal output lines: 63\n\nvLLM generation done - elapsed time: 3.62s, prompts: 4, total tokens: 2646, avg length: 661.5, speed: 731.9 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4093, avg length: 1023.2, speed: 1083.2 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4052, avg length: 1013.0, speed: 1071.0 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.5 tok/s\n\n================================================================================\nSaved 40 generation outputs to:\n  /workspace/runs/frontier_v1_rep3/capped_seed42/generations/generations_step_30.json\n================================================================================\n\n\r 31%|███       | 31/100 [04:37<10:21,  9.00s/it]vLLM generation done - elapsed time: 3.71s, prompts: 4, total tokens: 3248, avg length: 812.0, speed: 875.9 tok/s\nvLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 2942, avg le…64 tokens truncated…vLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1083.6 tok/s\n\n================================================================================\nSaved 40 generation outputs to:\n  /workspace/runs/frontier_v1_rep3/capped_seed42/generations/generations_step_35.json\n================================================================================\n\n\r 36%|███▌      | 36/100 [05:22<09:34,  8.98s/it]\r                                                \r{'loss': 0.0019, 'grad_norm': 0.08306436240673065, 'learning_rate': 3.2500000000000002e-06, 'on_policy_loss': 0.0019, 'rollout_accuracy': 0.375, 'epoch': 0.13}\n\r 36%|███▌      | 36/100 [05:22<09:34,  8.98s/it]vLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 3205, avg length: 801.2, speed: 866.9 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3587, avg length: 896.8, speed: 959.0 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1083.3 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1080.7 tok/s\n"}

Script running with cell ID 309
Wall time 11.0 seconds
Output:

Script completed
Wall time 36.5 seconds
Output:
Warning: truncated output (original token count: 662)
Total output lines: 1

{"chunk_id":"b52e7b","wall_time_seconds":50.002154028,"session_id":62225,"original_token_count":1730,"output":"Warning: truncated output (original token count: 1730)\nTotal output lines: 57\n\nvLLM generation done - elapsed time: 3.65s, prompts: 4, total tokens: 2750, avg length: 687.5, speed: 753.2 tok/s\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3530, avg length: 882.5, speed: 946.1 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3802, avg length: 950.5, speed: 1014.7 tok/s\nvLLM generation done - elapsed time: 3.81s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1074.9 tok/s\n\r 37%|███▋      | 37/100 [05:31<09:25,  8.98s/it]vLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3426, avg length: 856.5, speed: 917.4 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3612, avg length: 903.0, speed: 964.2 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3856, avg length: 964.0, speed: 1024.9 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1084.3 tok/s\nvLLM generation done - …62 tokens truncated… 4, total tokens: 3489, avg length: 872.2, speed: 933.1 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3442, avg length: 860.5, speed: 920.4 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4088, avg length: 1022.0, speed: 1079.7 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1080.6 tok/s\n\r 42%|████▏     | 42/100 [06:16<08:39,  8.96s/it]\r                                                \r{'loss': -0.0005, 'grad_norm': 0.06982818245887756, 'learning_rate': 2.95e-06, 'on_policy_loss': -0.0005, 'rollout_accuracy': 0.3125, 'epoch': 0.15}\n\r 42%|████▏     | 42/100 [06:16<08:39,  8.96s/it]vLLM generation done - elapsed time: 3.72s, prompts: 4, total tokens: 3364, avg length: 841.0, speed: 904.7 tok/s\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3277, avg length: 819.2, speed: 879.6 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1083.1 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.0 tok/s\n"}

Script running with cell ID 310
Wall time 11.0 seconds
Output:

Script completed
Wall time 32.1 seconds
Output:
Warning: truncated output (original token count: 661)
Total output lines: 1

{"chunk_id":"f73878","wall_time_seconds":50.001054477,"session_id":62225,"original_token_count":1864,"output":"Warning: truncated output (original token count: 1864)\nTotal output lines: 62\n\nvLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 3143, avg length: 785.8, speed: 848.4 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3526, avg length: 881.5, speed: 943.5 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3824, avg length: 956.0, speed: 1019.1 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3657, avg length: 914.2, speed: 973.1 tok/s\n\r 43%|████▎     | 43/100 [06:25<08:29,  8.94s/it]vLLM generation done - elapsed time: 3.67s, prompts: 4, total tokens: 3265, avg length: 816.2, speed: 889.2 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3670, avg length: 917.5, speed: 979.6 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3856, avg length: 964.0, speed: 1025.1 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.7 tok/s\nvLLM generation done - …61 tokens truncated…15, 'grad_norm': 0.045335326343774796, 'learning_rate': 2.6500000000000005e-06, 'on_policy_loss': -0.0015, 'rollout_accuracy': 0.25, 'epoch': 0.17}\n\r 48%|████▊     | 48/100 [07:10<07:45,  8.95s/it]vLLM generation done - elapsed time: 3.65s, prompts: 4, total tokens: 3002, avg length: 750.5, speed: 821.8 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3901, avg length: 975.2, speed: 1037.0 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3907, avg length: 976.8, speed: 1035.8 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.2 tok/s\nvLLM generation done - elapsed time: 3.24s, prompts: 4, total tokens: 2601, avg length: 650.2, speed: 803.0 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3869, avg length: 967.2, speed: 1025.0 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1084.1 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.2 tok/s\n\r 49%|████▉     | 49/100 [07:18<07:36,  8.95s/it]"}

Script running with cell ID 311
Wall time 11.0 seconds
Output:

Script completed
Wall time 36.5 seconds
Output:
Warning: truncated output (original token count: 662)
Total output lines: 1

{"chunk_id":"a6acf3","wall_time_seconds":50.001113907,"session_id":62225,"original_token_count":2981,"output":"Warning: truncated output (original token count: 2981)\nTotal output lines: 173\n\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3709, avg length: 927.2, speed: 993.3 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3874, avg length: 968.5, speed: 1029.9 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3899, avg length: 974.8, speed: 1034.8 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.6 tok/s\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3442, avg length: 860.5, speed: 922.7 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3350, avg length: 837.5, speed: 896.5 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3634, avg length: 908.5, speed: 972.6 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1086.3 tok/s\n\r 50%|█████     | 50/100 [07:27<07:27,  8.96s/it]\r                  …62 tokens truncated… elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.5 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4091, avg length: 1022.8, speed: 1078.9 tok/s\nvLLM generation done - elapsed time: 3.72s, prompts: 4, total tokens: 3581, avg length: 895.2, speed: 961.6 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3314, avg length: 828.5, speed: 885.9 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3490, avg length: 872.5, speed: 931.3 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1084.4 tok/s\n\r 55%|█████▌    | 55/100 [08:12<06:44,  8.98s/it]vLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3532, avg length: 883.0, speed: 945.0 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3528, avg length: 882.0, speed: 943.8 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3562, avg length: 890.5, speed: 951.0 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1084.5 tok/s\n"}

Script running with cell ID 312
Wall time 11.0 seconds
Output:

Script completed
Wall time 36.6 seconds
Output:
Warning: truncated output (original token count: 664)
Total output lines: 1

{"chunk_id":"e68764","wall_time_seconds":50.000928231,"session_id":62225,"original_token_count":1807,"output":"Warning: truncated output (original token count: 1807)\nTotal output lines: 63\n\nvLLM generation done - elapsed time: 3.58s, prompts: 4, total tokens: 2648, avg length: 662.0, speed: 739.8 tok/s\nvLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 3135, avg length: 783.8, speed: 848.0 tok/s\nvLLM generation done - elapsed time: 3.71s, prompts: 4, total tokens: 3351, avg length: 837.8, speed: 902.2 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3924, avg length: 981.0, speed: 1041.4 tok/s\n\n================================================================================\nSaved 40 generation outputs to:\n  /workspace/runs/frontier_v1_rep3/capped_seed42/generations/generations_step_55.json\n================================================================================\n\n\r 56%|█████▌    | 56/100 [08:21<06:35,  8.98s/it]\r                                                \r{'loss': -0.0003, 'grad_norm': 0.06543239206075668, 'learning_rate': 2.25e-06, 'on_policy_loss': -0.0003, 'rollout_accuracy': 0.125, 'epoch': 0.…64 tokens truncated… length: 662.8, speed: 736.7 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3457, avg length: 864.2, speed: 923.5 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.6 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4070, avg length: 1017.5, speed: 1074.5 tok/s\n\n================================================================================\nSaved 40 generation outputs to:\n  /workspace/runs/frontier_v1_rep3/capped_seed42/generations/generations_step_60.json\n================================================================================\n\n\r 61%|██████    | 61/100 [09:06<05:51,  9.01s/it]vLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 3003, avg length: 750.8, speed: 812.6 tok/s\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3238, avg length: 809.5, speed: 868.7 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3838, avg length: 959.5, speed: 1018.7 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.9 tok/s\n"}

Script running with cell ID 313
Wall time 11.0 seconds
Output:

Script completed
Wall time 34.0 seconds
Output:
Warning: truncated output (original token count: 662)
Total output lines: 1

{"chunk_id":"86a93d","wall_time_seconds":50.001675306,"session_id":62225,"original_token_count":1740,"output":"Warning: truncated output (original token count: 1740)\nTotal output lines: 57\n\nvLLM generation done - elapsed time: 3.72s, prompts: 4, total tokens: 3293, avg length: 823.2, speed: 885.7 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3489, avg length: 872.2, speed: 932.6 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3874, avg length: 968.5, speed: 1027.1 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.3 tok/s\n\r 62%|██████▏   | 62/100 [09:15<05:41,  8.99s/it]\r                                                \r{'loss': -0.0036, 'grad_norm': 0.05823173373937607, 'learning_rate': 1.9500000000000004e-06, 'on_policy_loss': -0.0036, 'rollout_accuracy': 0.125, 'epoch': 0.22}\n\r 62%|██████▏   | 62/100 [09:15<05:41,  8.99s/it]vLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3560, avg length: 890.0, speed: 949.1 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3968, avg length…62 tokens truncated…e - elapsed time: 3.77s, prompts: 4, total tokens: 3884, avg length: 971.0, speed: 1030.5 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 3816, avg length: 954.0, speed: 1008.0 tok/s\nvLLM generation done - elapsed time: 3.66s, prompts: 4, total tokens: 2856, avg length: 714.0, speed: 780.1 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3686, avg length: 921.5, speed: 984.7 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3566, avg length: 891.5, speed: 952.1 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3586, avg length: 896.5, speed: 950.8 tok/s\n\r 67%|██████▋   | 67/100 [10:00<04:58,  9.03s/it]vLLM generation done - elapsed time: 3.69s, prompts: 4, total tokens: 2853, avg length: 713.2, speed: 774.2 tok/s\nvLLM generation done - elapsed time: 3.72s, prompts: 4, total tokens: 3243, avg length: 810.8, speed: 871.0 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3490, avg length: 872.5, speed: 933.6 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3748, avg length: 937.0, speed: 1000.2 tok/s\n"}

Script running with cell ID 314
Wall time 11.0 seconds
Output:

Script completed
Wall time 35.0 seconds
Output:
Warning: truncated output (original token count: 662)
Total output lines: 1

{"chunk_id":"5f8505","wall_time_seconds":50.001865771,"session_id":62225,"original_token_count":1746,"output":"Warning: truncated output (original token count: 1746)\nTotal output lines: 57\n\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3589, avg length: 897.2, speed: 956.5 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1084.2 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1083.8 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1080.7 tok/s\n\r 68%|██████▊   | 68/100 [10:09<04:49,  9.03s/it]\r                                                \r{'loss': -0.0018, 'grad_norm': 0.07669254392385483, 'learning_rate': 1.6500000000000003e-06, 'on_policy_loss': -0.0018, 'rollout_accuracy': 0.25, 'epoch': 0.25}\n\r 68%|██████▊   | 68/100 [10:10<04:49,  9.03s/it]vLLM generation done - elapsed time: 3.63s, prompts: 4, total tokens: 2637, avg length: 659.2, speed: 726.3 tok/s\nvLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 3110, avg leng…62 tokens truncated…ime: 3.75s, prompts: 4, total tokens: 3601, avg length: 900.2, speed: 959.9 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4018, avg length: 1004.5, speed: 1064.3 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3806, avg length: 951.5, speed: 1011.4 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.7 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1080.8 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1080.7 tok/s\n\r 73%|███████▎  | 73/100 [10:54<04:02,  9.00s/it]vLLM generation done - elapsed time: 3.61s, prompts: 4, total tokens: 2753, avg length: 688.2, speed: 762.2 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3767, avg length: 941.8, speed: 1001.7 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.7 tok/s\nvLLM generation done - elapsed time: 3.80s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1076.7 tok/s\n"}

Script running with cell ID 315
Wall time 11.0 seconds
Output:

Script completed
Wall time 36.2 seconds
Output:
Warning: truncated output (original token count: 662)
Total output lines: 1

{"chunk_id":"45ea45","wall_time_seconds":50.001775219,"session_id":62225,"original_token_count":1751,"output":"Warning: truncated output (original token count: 1751)\nTotal output lines: 57\n\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3499, avg length: 874.8, speed: 937.2 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.9 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.0 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.8 tok/s\n\r 74%|███████▍  | 74/100 [11:03<03:54,  9.01s/it]\r                                                \r{'loss': -0.0029, 'grad_norm': 0.05165700241923332, 'learning_rate': 1.3500000000000002e-06, 'on_policy_loss': -0.0029, 'rollout_accuracy': 0.0625, 'epoch': 0.27}\n\r 74%|███████▍  | 74/100 [11:04<03:54,  9.01s/it]vLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3491, avg length: 872.8, speed: 931.5 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3673, av…62 tokens truncated… time: 3.77s, prompts: 4, total tokens: 3854, avg length: 963.5, speed: 1022.8 tok/s\nvLLM generation done - elapsed time: 3.80s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1077.8 tok/s\nvLLM generation done - elapsed time: 3.71s, prompts: 4, total tokens: 3314, avg length: 828.5, speed: 892.8 tok/s\nvLLM generation done - elapsed time: 3.72s, prompts: 4, total tokens: 3397, avg length: 849.2, speed: 912.3 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1083.3 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.1 tok/s\n\r 79%|███████▉  | 79/100 [11:48<03:08,  9.00s/it]vLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3517, avg length: 879.2, speed: 940.7 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3825, avg length: 956.2, speed: 1018.8 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4027, avg length: 1006.8, speed: 1063.5 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.9 tok/s\n"}

Script running with cell ID 316
Wall time 11.0 seconds
Output:

Script completed
Wall time 36.0 seconds
Output:
Warning: truncated output (original token count: 678)
Total output lines: 1

{"chunk_id":"e2e51e","wall_time_seconds":50.000442953,"session_id":62225,"original_token_count":2821,"output":"Warning: truncated output (original token count: 2821)\nTotal output lines: 210\n\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 4000, avg length: 1000.0, speed: 1059.8 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 3837, avg length: 959.2, speed: 1015.4 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4077, avg length: 1019.2, speed: 1078.0 tok/s\nvLLM generation done - elapsed time: 3.81s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1075.4 tok/s\n\r 80%|████████  | 80/100 [11:57<02:59,  9.00s/it]\r                                                \r{'loss': -0.003, 'grad_norm': 0.06584717333316803, 'learning_rate': 1.0500000000000001e-06, 'on_policy_loss': -0.003, 'rollout_accuracy': 0.25, 'epoch': 0.29}\n\r 80%|████████  | 80/100 [11:58<02:59,  9.00s/it]vLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3623, avg length: 905.8, speed: 964.1 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3940, avg …78 tokens truncated…such functions often preserve the structure of additive expressions.\n\nGiven the above functional equation, we can deduce that:\n$$\nf(n) = \\text{something to sum over divisors}\n$$\n\nLet’s try **constructing the function** for some simple values.\n\n---\n\n### Step 4: Try Specific Values of $ f $\n\nLet’s try to find **a possible function $ f $** that satisfies the given condition.\n\nTry:\n\n$$\nf(1) = 1\n$$\nThat’s the only one, as the divisor of 1 is just 1.\n\nThen for $ n = 2 $, the divisors are:\n\n$$\n\\{1, 2\\}\n$$\nSo:\n\n$$\n2 = f(1) + f(2) \\Rightarrow f(2) = 2 - f(1) = 2 - 1 = 1\n$$\n\nSimilarly, for $ n = 3 $, divisors are {1, 3}:\n\n$$\n3 = f(1) + f(3) \\Rightarrow f(3) = 3 - f(1) = 2\n$$\n\nNow for $ n = 4 $:\n\nDivisors are {1, 2, 4}\n\nSo:\n\n$$\n4 = f(1) + f(2) + f(4)\n\\Rightarrow f(4) = 4 - f(1) - f(2) = 4 - 1 - 1 = 2\n$$\n\nSo far we have:\n\n- $ f(1) = 1 $\n- $ f(2) = 1 $\n- $ f(3) = 2 $\n- $ f(4) = 2 $\n\nLet’s check this with $ f(6) $, the divisors of 6 are 1, 2, 3, 6:\n\n$$\n6 = f(1) + f(2) + f(3) + f(6)\n\\Rightarrow f(6) = 6 - f(1) - f(2) - f(3) = 6 - 1 - 1\n================================================================================\n\n"}

Script running with cell ID 317
Wall time 11.0 seconds
Output:

Script completed
Wall time 36.3 seconds
Output:
Warning: truncated output (original token count: 664)
Total output lines: 1

{"chunk_id":"a83361","wall_time_seconds":50.001997929,"session_id":62225,"original_token_count":3216,"output":"Warning: truncated output (original token count: 3216)\nTotal output lines: 164\n\nvLLM generation done - elapsed time: 3.62s, prompts: 4, total tokens: 3095, avg length: 773.8, speed: 855.8 tok/s\nvLLM generation done - elapsed time: 3.69s, prompts: 4, total tokens: 3021, avg length: 755.2, speed: 818.0 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3816, avg length: 954.0, speed: 1015.5 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1088.1 tok/s\n\n================================================================================\nSaved 40 generation outputs to:\n  /workspace/runs/frontier_v1_rep3/capped_seed42/generations/generations_step_85.json\n================================================================================\n\n\r 86%|████████▌ | 86/100 [12:51<02:05,  8.98s/it]\r                                                \r{'loss': -0.0037, 'grad_norm': 0.0637979805469513, 'learning_rate': 7.5e-07, 'on_policy_loss': -0.0037, 'rollout_accuracy': 0.25, 'epoc…64 tokens truncated…824.8, speed: 902.2 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1093.2 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3812, avg length: 953.0, speed: 1014.4 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1084.2 tok/s\n\n================================================================================\nSaved 40 generation outputs to:\n  /workspace/runs/frontier_v1_rep3/capped_seed42/generations/generations_step_90.json\n================================================================================\n\n\r 91%|█████████ | 91/100 [13:36<01:20,  8.98s/it]vLLM generation done - elapsed time: 3.71s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1104.9 tok/s\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3991, avg length: 997.8, speed: 1069.0 tok/s\nvLLM generation done - elapsed time: 3.72s, prompts: 4, total tokens: 3441, avg length: 860.2, speed: 924.6 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1084.4 tok/s\n"}

Script running with cell ID 318
Wall time 11.0 seconds
Output:

Script completed
Wall time 30.4 seconds
Output:
Warning: truncated output (original token count: 865)
Total output lines: 1

{"chunk_id":"e73941","wall_time_seconds":50.002244339,"session_id":62225,"original_token_count":2544,"output":"Warning: truncated output (original token count: 2544)\nTotal output lines: 188\n\nvLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1105.6 tok/s\nvLLM generation done - elapsed time: 3.72s, prompts: 4, total tokens: 3730, avg length: 932.5, speed: 1002.7 tok/s\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3736, avg length: 934.0, speed: 1001.9 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1091.5 tok/s\n\r 92%|█████████▏| 92/100 [13:45<01:11,  8.94s/it]\r                                                \r{'loss': -0.0038, 'grad_norm': 0.06260998547077179, 'learning_rate': 4.5000000000000003e-07, 'on_policy_loss': -0.0038, 'rollout_accuracy': 0.25, 'epoch': 0.33}\n\r 92%|█████████▏| 92/100 [13:45<01:11,  8.94s/it]vLLM generation done - elapsed time: 3.43s, prompts: 4, total tokens: 2153, avg length: 538.2, speed: 627.9 tok/s\nvLLM generation done - elapsed time: 3.69s, prompts: 4, total tokens: 3363, avg length: 840.8, speed: 911.2 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 3953, avg length: 988.2, speed: 1047.1 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.0 tok/s\n\n================================================================================\nSTUDENT GENERATION SAMPLE (Step 92):\n=…65 tokens truncated…_policy_loss': -0.004, 'rollout_accuracy': 0.1875, 'epoch': 0.35}\n\r 96%|█████████▌| 96/100 [14:21<00:35,  9.00s/it]vLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3663, avg length: 915.8, speed: 977.2 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.8 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.2 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.0 tok/s\nvLLM generation done - elapsed time: 3.73s, prompts: 4, total tokens: 3081, avg length: 770.2, speed: 826.8 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3626, avg length: 906.5, speed: 969.5 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3914, avg length: 978.5, speed: 1042.5 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.5 tok/s\n\r 97%|█████████▋| 97/100 [14:30<00:26,  8.98s/it]vLLM generation done - elapsed time: 3.64s, prompts: 4, total tokens: 2629, avg length: 657.2, speed: 721.6 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3636, avg length: 909.0, speed: 968.6 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3681, avg length: 920.2, speed: 981.5 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.1 tok/s\n"}

Script running with cell ID 319
Wall time 11.0 seconds
Output:

Script completed
Wall time 13.6 seconds
Output:
{"chunk_id":"f3fcb6","wall_time_seconds":33.699955973,"exit_code":0,"original_token_count":1141,"output":"vLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3685, avg length: 921.2, speed: 984.7 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3513, avg length: 878.2, speed: 932.3 tok/s\nvLLM generation done - elapsed time: 3.77s, prompts: 4, total tokens: 3948, avg length: 987.0, speed: 1046.0 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 3781, avg length: 945.2, speed: 999.5 tok/s\n\r 98%|█████████▊| 98/100 [14:39<00:17,  8.95s/it]\r                                                \r{'loss': -0.004, 'grad_norm': 0.08190944045782089, 'learning_rate': 1.5000000000000002e-07, 'on_policy_loss': -0.004, 'rollout_accuracy': 0.1875, 'epoch': 0.36}\n\r 98%|█████████▊| 98/100 [14:39<00:17,  8.95s/it]vLLM generation done - elapsed time: 3.71s, prompts: 4, total tokens: 3100, avg length: 775.0, speed: 834.8 tok/s\nvLLM generation done - elapsed time: 3.76s, prompts: 4, total tokens: 3773, avg length: 943.2, speed: 1003.9 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.7 tok/s\nvLLM generation done - elapsed time: 3.81s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1076.1 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3597, avg length: 899.2, speed: 958.6 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 3981, avg length: 995.2, speed: 1052.9 tok/s\nvLLM generation done - elapsed time: 3.78s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1082.2 tok/s\nvLLM generation done - elapsed time: 3.81s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1075.0 tok/s\n\r 99%|█████████▉| 99/100 [14:48<00:08,  8.97s/it]vLLM generation done - elapsed time: 3.63s, prompts: 4, total tokens: 2804, avg length: 701.0, speed: 773.1 tok/s\nvLLM generation done - elapsed time: 3.69s, prompts: 4, total tokens: 2788, avg length: 697.0, speed: 755.1 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.6 tok/s\nvLLM generation done - elapsed time: 3.79s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1081.3 tok/s\nvLLM generation done - elapsed time: 3.70s, prompts: 4, total tokens: 3176, avg length: 794.0, speed: 857.7 tok/s\nvLLM generation done - elapsed time: 3.74s, prompts: 4, total tokens: 3614, avg length: 903.5, speed: 965.5 tok/s\nvLLM generation done - elapsed time: 3.75s, prompts: 4, total tokens: 3593, avg length: 898.2, speed: 958.9 tok/s\nvLLM generation done - elapsed time: 3.80s, prompts: 4, total tokens: 4096, avg length: 1024.0, speed: 1078.7 tok/s\n\r100%|██████████| 100/100 [14:57<00:00,  8.97s/it]\r                                                 \r{'loss': -0.0041, 'grad_norm': 0.08544867485761642, 'learning_rate': 5.0000000000000004e-08, 'on_policy_loss': -0.0041, 'rollout_accuracy': 0.0625, 'epoch': 0.36}\n\r100%|██████████| 100/100 [14:57<00:00,  8.97s/it]\r                                                 \r{'train_runtime': 900.8703, 'train_samples_per_second': 3.552, 'train_steps_per_second': 0.111, 'train_loss': 0.0013657617568969727, 'epoch': 0.36}\n\r100%|██████████| 100/100 [15:00<00:00,  8.97s/it]\r100%|██████████| 100/100 [15:00<00:00,  9.01s/it]\n[rank0]:[W803 09:02:37.888626865 ProcessGroupNCCL.cpp:1538] Warning: WARNING: destroy_process_group() was not called before program exit, which can leak resources. For more info, please see https://pytorch.org/docs/stable/distributed.html#shutdown (function operator())\n[rank1]:[W803 09:02:37.169343181 ProcessGroupNCCL.cpp:1538] Warning: WARNING: destroy_process_group() was not called before program exit, which can leak resources. For more info, please see https://pytorch.org/docs/stable/distributed.html#shutdown (function operator())\n[rank3]:[W803 09:02:37.179415580 ProcessGroupNCCL.cpp:1538] Warning: WARNING: destroy_process_group() was not called before program exit, which can leak resources. For more info, please see https://pytorch.org/docs/stable/distributed.html#shutdown (function operator())\n[rank2]:[W803 09:02:38.642719804 ProcessGroupNCCL.cpp:1538] Warning: WARNING: destroy_process_group() was not called before program exit, which can leak resources. For more info, please see https://pytorch.org/docs/stable/distributed.html#shutdown (function operator())\nTRAIN_CKPT=/workspace/runs/frontier_v1_rep3/capped_seed42/checkpoint-100\n"}