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a/logs_hessian_clean/diff_modes_new_code/mode_0_param_qkvo_seed_43/training_log_6cafe353-f53b-4045-a7bb-bcec8137fdac.txt b/logs_hessian_clean/diff_modes_new_code/mode_0_param_qkvo_seed_43/training_log_6cafe353-f53b-4045-a7bb-bcec8137fdac.txt new file mode 100644 index 0000000000000000000000000000000000000000..6ed09418de4874b08815d00912e7e5dbd500c6fb --- /dev/null +++ b/logs_hessian_clean/diff_modes_new_code/mode_0_param_qkvo_seed_43/training_log_6cafe353-f53b-4045-a7bb-bcec8137fdac.txt @@ -0,0 +1,3266 @@ +[2026-01-08 06:15:08] [Rank 0] PRINT: --- Script Start: Thu Jan 8 06:15:08 2026 --- +[2026-01-08 06:15:08] [Rank 0] PRINT: --- Script Start: Thu Jan 8 06:15:08 2026 --- +[2026-01-08 06:15:08] [Rank 0] PRINT: Parsed CLI args: Namespace(unet=False, seed=43, optimizer_mode=0, model_parameterization='qkvo', adam_lr=0.02, muon_lr=0.05, base_dir='/home/aiops/zhangfz/MUON_sharpness/logs_hessian_clean/diff_modes_new_code', analyze_hessian_spectrum=True, hessian_analysis_interval=1000, hessian_lanczos_m=20, hessian_num_v=5, hessian_sigma=0.00316, hessian_num_batches=5, analyze_sharpness=False) +[2026-01-08 06:15:08] [Rank 0] PRINT: Parsed CLI args: Namespace(unet=False, seed=43, optimizer_mode=0, model_parameterization='qkvo', adam_lr=0.02, muon_lr=0.05, base_dir='/home/aiops/zhangfz/MUON_sharpness/logs_hessian_clean/diff_modes_new_code', analyze_hessian_spectrum=True, hessian_analysis_interval=1000, hessian_lanczos_m=20, hessian_num_v=5, hessian_sigma=0.00316, hessian_num_batches=5, analyze_sharpness=False) +[2026-01-08 06:15:08] [Rank 0] PRINT: Hyperparameters: Hyperparameters() +[2026-01-08 06:15:08] [Rank 0] PRINT: Hyperparameters: Hyperparameters() +[2026-01-08 06:15:08] [Rank 0] PRINT: Using fixed seed: 43 +[2026-01-08 06:15:08] [Rank 0] PRINT: Using fixed seed: 43 +[2026-01-08 06:15:09] [Rank 0] PRINT: Run directory: /home/aiops/zhangfz/MUON_sharpness/logs_hessian_clean/diff_modes_new_code/mode_0_param_qkvo_seed_43 +[2026-01-08 06:15:09] [Rank 0] PRINT: Run directory: /home/aiops/zhangfz/MUON_sharpness/logs_hessian_clean/diff_modes_new_code/mode_0_param_qkvo_seed_43 +[2026-01-08 06:15:09] [Rank 0] import os +import sys +with open(sys.argv[0]) as f: + code = f.read() # read the code of this file ASAP, for logging +import uuid +import time +import copy +import glob +from dataclasses import dataclass, asdict +from functools import lru_cache +from pathlib import Path +import argparse # Keep argparse for --unet and potentially --optimizer_mode +import json +import random +import numpy as np +import gc +from torch.cuda.amp import autocast +from torch.func import functional_call +from torch.amp import autocast +import itertools +from itertools import cycle + +os.environ["PYTORCH_CUDA_ALLOC_CONF"] = "expandable_segments:True" +import torch +torch.empty(1, device="cuda", requires_grad=True).backward() # prevents a bug on some systems +from torch import Tensor, nn +import torch.nn.functional as F +import torch.distributed as dist +# use of FlexAttention contributed by @KoszarskyB +from torch.nn.attention.flex_attention import BlockMask, flex_attention +sys.path.append("/home/aiops/zhangfz/MUON_sharpness/modded-nanogpt") # Already present +from optimizers.MUON_new import Muon +from utils.float_compute import mm_op, backward as mm_backward_custom, setup_context as mm_setup_context_custom # Renamed +# from utils.hessian_spectrum import HessianSpectrumAnalyzer, create_loss_function_wrapper # Old +# from utils.hessian_spectrum_paper_method import HessianSpectrumPaper # sun ruoyu's method (single-batch) +from utils.hessian_spectrum_full_batch import HessianSpectrumFullBatch + +#from kn_util.utils import setup_debugpy +#torch._inductor.config.coordinate_descent_tuning = True + +# ----------------------------------------------------------------------------- + +mm_op.register_autograd(mm_backward_custom, setup_context=mm_setup_context_custom) # Use renamed imports + +# ----------------------------------------------------------------------------- +# Seeding Function +def set_seed(seed): + random.seed(seed) + np.random.seed(seed) + torch.manual_seed(seed) + if torch.cuda.is_available(): + torch.cuda.manual_seed_all(seed) + print(f"PRINT: Set seed to {seed}", flush=True) # Print immediately for all ranks + +# ----------------------------------------------------------------------------- +# Our own simple Distributed Data Loader (KEEP AS IS) +def _load_data_shard(file: Path): + header = torch.from_file(str(file), False, 256, dtype=torch.int32) + assert header[0] == 20240520, "magic number mismatch in the data .bin file" + assert header[1] == 1, "unsupported version" + num_tokens = int(header[2]) + with file.open("rb", buffering=0) as f: + tokens = torch.empty(num_tokens, dtype=torch.uint16, pin_memory=True) + f.seek(256 * 4) + nbytes = f.readinto(tokens.numpy()) + assert nbytes == 2 * num_tokens, "number of tokens read does not match header" + return tokens + +def distributed_data_generator(filename_pattern: str, batch_size: int, rank : int, world_size : int): + """ + Distributed data generator for training. + + Args: + filename_pattern: glob pattern for data files + batch_size: total batch size across all ranks + rank: current process rank + world_size: total number of processes + """ + files = [Path(file) for file in sorted(glob.glob(filename_pattern))] + assert batch_size % world_size == 0 + local_batch_size = batch_size // world_size + file_iter = cycle(files) # use itertools.cycle(files) instead if you want to do multi-epoch training + tokens, pos = _load_data_shard(next(file_iter)), 0 + while True: + if pos + batch_size + 1 >= len(tokens): + tokens, pos = _load_data_shard(next(file_iter)), 0 + buf = tokens[pos + rank * local_batch_size:][:local_batch_size + 1] + inputs = buf[:-1].to(device="cuda", dtype=torch.int32, non_blocking=True) # no sync on host side; + targets = buf[1:].to(device="cuda", dtype=torch.int64, non_blocking=True) # H2D in another stream isn't helpful. + pos += batch_size + yield inputs, targets + + +# ----------------------------------------------------------------------------- +# int main +parser = argparse.ArgumentParser(description="NanoGPT Training Script with Muon") +parser.add_argument("--unet", action="store_true", help="Use U-net architecture") +parser.add_argument("--seed", type=int, default=42, help="Random seed for reproducibility") +# --- MODIFICATION: Add optimizer_mode as a CLI argument --- +parser.add_argument("--optimizer_mode", type=int, default=0, + help="Defines how Muon is applied. " + "0: Muon(All Hidden Attn+MLP - original); " + "1: Muon(QK Attn)/Adam(VO Attn,MLP); " + "2: Muon(VO Attn)/Adam(QK Attn,MLP); " + "3: Muon(All Attn)/Adam(MLP); " + "4: Muon(MLP)/Adam(All Attn)" + "5: All Adam (No Muon, all applicable matrices to Adam)." + "6: Muon(W_2 MLP)/Adam(attn, W_1 MLP)." + "7: Muon(VO Attn, MLP)/Adam(QK Attn)." + "8: Muon(VO Attn, W_2 MLP)/Adam(QK Attn, W_1 MLP)." + ) +parser.add_argument("--model_parameterization", type=str, default="whole",choices=["whole","qkvo"]) +parser.add_argument("--adam_lr", type=float, default=0.001, help="Learning rate for Adam optimizer") +parser.add_argument("--muon_lr", type=float, default=0.05, help="Learning rate for Muon optimizer") +parser.add_argument("--base_dir", type=str, default="logs/sharpness_clean_muon_1223", help="Base directory for logs") +parser.add_argument("--analyze_hessian_spectrum", action="store_true", help="Enable Hessian spectrum analysis") +parser.add_argument("--hessian_analysis_interval", type=int, default=500, help="Interval for Hessian spectrum analysis") +parser.add_argument("--hessian_lanczos_m", type=int, default=50, help="Number of Lanczos iterations (eigenvalues per random vector)") +parser.add_argument("--hessian_num_v", type=int, default=10, help="Number of random initialization vectors") +parser.add_argument("--hessian_sigma", type=float, default=1e-5**0.5, help="Gaussian KDE bandwidth (default: 1e-5**0.5)") +parser.add_argument("--hessian_num_batches", type=int, default=20, help="Number of batches to average for Hessian computation") +parser.add_argument("--analyze_sharpness", action="store_true", help="Enable sharpness analysis (disabled by default)") +exp_args = parser.parse_args() +set_seed(exp_args.seed) + +# --- MODIFICATION: Import correct GPT model based on --unet flag --- +if exp_args.unet: + print("Using U-net architecture") + from models.nano_GPT_unet import GPT +elif exp_args.model_parameterization == "qkvo": + print("Using architecture (models.nano_gpt_qkvo) with CausalSelfAttention having q_w, k_w, v_w") + # This MUST be the nano_GPT.py file where CausalSelfAttention has q_w, k_w, v_w + from models.nano_GPT_qkvo_ve import GPT + +elif exp_args.model_parameterization == "whole": + print("Using original architecture") + from models.nano_GPT import GPT + +@dataclass +class Hyperparameters: + # data + + train_files = "/home/aiops/zhangfz/MUON_theory/modded-nanogpt/data/fineweb10B/fineweb_train_*.bin" + val_files = "/home/aiops/zhangfz/MUON_theory/modded-nanogpt/data/fineweb10B/fineweb_val_*.bin" + val_tokens = 1966080 + #val_tokens = 10485760 + train_seq_len = 12*1024 + val_seq_len = 4*16*1024 + + # optimization + num_iterations = 10000 #1770 # Original: 1770 + cooldown_frac = 0 + # architecture + + vocab_size = 50257 + + # evaluation and logging + val_loss_every = 500 # Increased to reduce memory pressure from frequent sharpness calculations + save_checkpoint = False +args = Hyperparameters() + +# DDP setup (KEEP AS IS, but ensure rank and world_size are correctly used) +rank = int(os.environ.get("RANK", 0)) +local_rank = int(os.environ.get("LOCAL_RANK", 0)) # Used for device setting +world_size = int(os.environ.get("WORLD_SIZE", 1)) + +# print(f"[Rank {rank}] Global Rank: {rank}, Local Rank: {local_rank}, World Size: {world_size}", flush=True) # Debug + +assert torch.cuda.is_available() +device = torch.device("cuda", local_rank) # Use local_rank for device +torch.cuda.set_device(device) + +if not dist.is_initialized(): # Ensure DDP is initialized only once + dist.init_process_group(backend="nccl", rank=rank, world_size=world_size) # Pass rank and world_size +dist.barrier() +master_process = (rank == 0) + +# Logging setup (KEEP AS IS, but maybe add optimizer_mode to filename) +logfile = None +# --- MODIFICATION: Add optimizer_mode to log file name and specify new dir --- +#log_dir = "modded-nanogpt/logs_detailed_attn_minimal_changes" +#if master_process: +# run_id = uuid.uuid4() +# os.makedirs(log_dir, exist_ok=True) # Create new log directory +# logfile = f"{log_dir}/exp_mode_{exp_args.optimizer_mode}_param_{exp_args.model_parameterization}_{run_id}.txt" +# print(f"Logging to: {logfile}") + +logfile = None +run_dir_path_str = None + +base_log_dir = Path(exp_args.base_dir) + +# Initialize Hessian spectrum analyzer if requested +hessian_analyzer = None +hessian_results_dir = None + +if master_process: + # Set seed again specifically for master process for operations like dir creation, config saving + set_seed(exp_args.seed) + + # Construct folder name based on config and seed + run_folder_name = f"mode_{exp_args.optimizer_mode}_param_{exp_args.model_parameterization}_seed_{exp_args.seed}" + run_dir_path = base_log_dir / run_folder_name + run_dir_path.mkdir(parents=True, exist_ok=True) + run_dir_path_str = str(run_dir_path) + + run_uuid = uuid.uuid4() + logfile = run_dir_path / f"training_log_{run_uuid}.txt" + print(f"Logging to: {logfile}") + + # Save configuration + config_to_save = { + "cli_args": vars(exp_args), + "hyperparameters": {k: v for k, v in args.__class__.__dict__.items() if not k.startswith('__') and not callable(v)}, + "run_uuid_for_log": str(run_uuid), + "script_code_logged_at_start": True + } + config_file_path = run_dir_path / "config.json" + with open(config_file_path, "w") as f: + json.dump(config_to_save, f, indent=4) + print(f"Saved configuration to: {config_file_path}") + + # Setup Hessian results directory inside the run directory + if exp_args.analyze_hessian_spectrum: + hessian_results_dir = run_dir_path / "hessian_spectrum" + hessian_results_dir.mkdir(parents=True, exist_ok=True) + print(f"Hessian spectrum results will be saved to: {hessian_results_dir}") +else: + # Non-master processes also need to know the hessian_results_dir path for sync + if exp_args.analyze_hessian_spectrum: + run_folder_name = f"mode_{exp_args.optimizer_mode}_param_{exp_args.model_parameterization}_seed_{exp_args.seed}" + run_dir_path = base_log_dir / run_folder_name + hessian_results_dir = run_dir_path / "hessian_spectrum" + +def print0(s, console=False): + if master_process: + # Add timestamp and rank for better log readability + timestamp = time.strftime("%Y-%m-%d %H:%M:%S", time.localtime()) + log_message = f"[{timestamp}] [Rank {rank}] {s}" + + # Print to console if requested or if it's a specific "PRINT:" message + if console or s.startswith("PRINT:"): + actual_s = s[6:] if s.startswith("PRINT:") else s + print(actual_s) # Print to stdout for master process + + if logfile: + with open(logfile, "a") as f: + f.write(log_message + "\n") + + with open(logfile, "a") as f: + f.write(log_message + "\n") + + +print0(f"PRINT: --- Script Start: {time.ctime()} ---", console=True) +print0(f"PRINT: Parsed CLI args: {exp_args}", console=True) +print0(f"PRINT: Hyperparameters: {args}", console=True) +print0(f"PRINT: Using fixed seed: {exp_args.seed}", console=True) +if master_process: + print0(f"PRINT: Run directory: {run_dir_path_str}", console=True) +print0(code) # Log the code +# ... (other initial logs) + +######################################## +# Construct model and optimizer # +######################################## +print0("PRINT: Constructing model...", console=True) +model: nn.Module = GPT(vocab_size=args.vocab_size, num_layers=12, num_heads=6, model_dim=768, + max_seq_len=max(args.train_seq_len, args.val_seq_len)).cuda() +for m in model.modules(): + if isinstance(m, nn.Embedding): + m.bfloat16() +print0("PRINT: Broadcasting model parameters...", console=True) +for param in model.parameters(): + dist.broadcast(param.detach(), 0) +print0("PRINT: Model constructed and broadcasted.", console=True) + +# --- START MODIFIED PARAMETER COLLECTION AND OPTIMIZER SETUP --- +if exp_args.model_parameterization == "qkvo": + print0("PRINT: Collecting parameters for optimizers...", console=True) + head_params = [model.lm_head.weight] + # Handle models with or without value_embeds + if hasattr(model, 'value_embeds'): + embed_params = [model.embed.weight] + [ve.weight for ve in model.value_embeds] + else: + embed_params = [model.embed.weight] + + # Granular collection for attention and MLP parts + attn_q_params = [] + attn_k_params = [] + attn_v_params = [] + attn_o_params = [] # W_O from c_proj + mlp_fc_params = [] + mlp_proj_params = [] + + for block_module in model.blocks: + if block_module.attn is not None: + # These attributes (q_w, k_w, v_w) MUST exist in your CausalSelfAttention class + if hasattr(block_module.attn, 'q_w'): attn_q_params.append(block_module.attn.q_w) + else: print0(f"PRINT: Warning: q_w not found in attn module of a block.", console=True) + if hasattr(block_module.attn, 'k_w'): attn_k_params.append(block_module.attn.k_w) + else: print0(f"PRINT: Warning: k_w not found in attn module of a block.", console=True) + if hasattr(block_module.attn, 'v_w'): attn_v_params.append(block_module.attn.v_w) + else: print0(f"PRINT: Warning: v_w not found in attn module of a block.", console=True) + attn_o_params.append(block_module.attn.c_proj.weight) + if block_module.mlp is not None: + mlp_fc_params.append(block_module.mlp.c_fc.weight) + mlp_proj_params.append(block_module.mlp.c_proj.weight) + + # Combine into logical groups for experiments + attn_qk_group = attn_q_params + attn_k_params + attn_vo_group = attn_v_params + attn_o_params + all_attn_matrices = attn_qk_group + attn_vo_group + mlp_w1_group = mlp_fc_params + mlp_w2_group = mlp_proj_params + all_mlp_matrices = mlp_fc_params + mlp_proj_params + + # Scalar parameters (all others not explicitly grouped as matrices) + matrix_params_for_scalar_check = set(head_params + embed_params + all_attn_matrices + all_mlp_matrices) + scalar_params = [p for n, p in model.named_parameters() if p not in matrix_params_for_scalar_check] + for p_scalar in scalar_params: # Sanity check + if p_scalar.ndim >=2: + print0(f"PRINT: Warning - Parameter {p_scalar.shape} ended up in scalar_params but has ndim >= 2. Check grouping.", console=True) + + + # Determine parameter distribution based on optimizer_mode + muon_params_target_list = [] + adam_matrix_target_list = [] # Matrices that Adam will handle specifically + adam_matrix_lr = exp_args.adam_lr # LR for matrices if Adam handles them (can be tuned) + muon_lr = exp_args.muon_lr + + current_optimizer_mode = exp_args.optimizer_mode + print0(f"PRINT: Configuring optimizers for EXPERIMENT_MODE = {current_optimizer_mode}", console=True) + + if current_optimizer_mode == 0: # Original behavior: Muon on all "hidden_matrix_params" + print0(f"PRINT: Mode 0: Muon on ALL Attention (QKVO) and ALL MLP matrices.", console=True) + muon_params_target_list = all_attn_matrices + all_mlp_matrices + # Adam handles embeds, head, scalars by default. No extra matrices for Adam here. + elif current_optimizer_mode == 1: # Muon on QK, Adam on VO and MLP + print0(f"PRINT: Mode 1: Muon on QK Attn. Adam on VO Attn, MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_qk_group + adam_matrix_target_list = attn_vo_group + all_mlp_matrices + elif current_optimizer_mode == 2: # Muon on VO, Adam on QK and MLP + print0(f"PRINT: Mode 2: Muon on VO Attn. Adam on QK Attn, MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_vo_group + adam_matrix_target_list = attn_qk_group + all_mlp_matrices + elif current_optimizer_mode == 3: # Muon on All Attn (QKVO), Adam on MLP + print0(f"PRINT: Mode 3: Muon on ALL Attn (QKVO). Adam on MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = all_attn_matrices + adam_matrix_target_list = all_mlp_matrices + elif current_optimizer_mode == 4: # Muon on MLP, Adam on All Attn (QKVO) + print0(f"PRINT: Mode 4: Muon on MLP. Adam on ALL Attn (QKVO) (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = all_mlp_matrices + adam_matrix_target_list = all_attn_matrices + elif current_optimizer_mode == 5: # NEW MODE 5 - All Adam + print0(f"PRINT: Mode 5: All Adam. All Attn and MLP matrices to Adam (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = [] + adam_matrix_target_list = all_attn_matrices + all_mlp_matrices # All matrices to Adam + elif current_optimizer_mode == 6: # Muon on W_2 MLP, Adam on attn, W_1 MLP + print0(f"PRINT: Mode 6: Muon on W_2 MLP. Adam on attn, W_1 MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = mlp_w2_group + adam_matrix_target_list = all_attn_matrices + mlp_w1_group + elif current_optimizer_mode == 7: # Muon on VO Attn, MLP, Adam on QK Attn + print0(f"PRINT: Mode 7: Muon on VO Attn, MLP. Adam on QK Attn (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_vo_group + all_mlp_matrices + adam_matrix_target_list = attn_qk_group + elif current_optimizer_mode == 8: # Muon on VO Attn, W_2 MLP, Adam on QK Attn, W_1 MLP + print0(f"PRINT: Mode 8: Muon on VO Attn, W_2 MLP. Adam on QK Attn, W_1 MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_vo_group + mlp_w2_group + adam_matrix_target_list = attn_qk_group + mlp_w1_group + else: + raise ValueError(f"Unsupported EXPERIMENT_MODE: {current_optimizer_mode}") + + # Adam optimizer setup + adam_param_groups_config = [ + #dict(params=head_params, lr=0.22), + #dict(params=embed_params, lr=0.6), + #dict(params=scalar_params, lr=0.04) # Scalar params always go to Adam + dict(params=head_params, lr=adam_matrix_lr), + dict(params=embed_params, lr=adam_matrix_lr), + dict(params=scalar_params, lr=adam_matrix_lr) # Scalar params always go to Adam + ] + # Add matrices specifically assigned to Adam for this experiment mode + if adam_matrix_target_list: + # Ensure adam_matrix_target_list is flat and contains Parameters + flat_adam_matrices = [p for sublist_or_p in adam_matrix_target_list for p in (sublist_or_p if isinstance(sublist_or_p, list) else [sublist_or_p]) if p is not None] + if flat_adam_matrices: # Only add group if there are params + adam_param_groups_config.append(dict(params=flat_adam_matrices, lr=adam_matrix_lr)) + + # Filter out any Adam groups that might be empty (e.g., if scalar_params was empty) + adam_param_groups_config = [g for g in adam_param_groups_config if g['params']] + optimizer1 = torch.optim.Adam(adam_param_groups_config, betas=(0.8, 0.95), eps=1e-10, fused=True) + optimizers = [optimizer1] # Start with Adam + + # Muon optimizer setup + if muon_params_target_list: + # Ensure muon_params_target_list is flat, unique, and contains Parameters + flat_unique_muon_params = [] + seen_muon_ids = set() + for sublist_or_p in muon_params_target_list: + for p in (sublist_or_p if isinstance(sublist_or_p, list) else [sublist_or_p]): + if p is not None and id(p) not in seen_muon_ids: + flat_unique_muon_params.append(p) + seen_muon_ids.add(id(p)) + + if flat_unique_muon_params: # Only create Muon if it has parameters + # optimizer2 = Muon(flat_unique_muon_params, lr=muon_lr, momentum=0.95, nesterov=False, ns_steps=5, rank=rank, world_size=world_size) # Pass nesterov, ns_steps + optimizer2 = Muon(flat_unique_muon_params, lr=exp_args.muon_lr, momentum=0.95, weight_decay=0.0) + optimizers.append(optimizer2) + else: + print0("PRINT: Muon optimizer not created as its target parameter list was empty.", console=True) + optimizer2 = None # Explicitly set to None if not created + else: + print0("PRINT: Muon optimizer not created as muon_params_target_list was empty (e.g. mode where Adam handles all matrices).", console=True) + optimizer2 = None # Explicitly set to None + + print0(f"PRINT: Optimizers configured. Total optimizers: {len(optimizers)}", console=True) + if optimizer2: + print0(f"PRINT: Muon optimizer is active with {len(flat_unique_muon_params)} parameters.", console=True) + # --- END MODIFIED PARAMETER COLLECTION AND OPTIMIZER SETUP --- +elif exp_args.model_parameterization == "whole": + hidden_matrix_params = [p for n, p in model.blocks.named_parameters() if p.ndim >= 2 and "embed" not in n] + embed_params = [p for n, p in model.named_parameters() if "embed" in n] + scalar_params = [p for p in model.parameters() if p.ndim < 2] + head_params = [model.lm_head.weight] + + # init the optimizer(s) + adam_params = [dict(params=head_params, lr=0.22), dict(params=embed_params, lr=0.6), dict(params=scalar_params, lr=0.04)] + # small adam epsilon by @YouJiacheng. this is an alternate method of fixing the world_size dependence + # discovered by @fernbear.bsky.social https://x.com/hi_tysam/status/1879692937589875094 + optimizer1 = torch.optim.Adam(adam_params, betas=(0.8, 0.95), eps=1e-10, fused=True) + optimizer2 = Muon(hidden_matrix_params, lr=0.05, momentum=0.95, rank=rank, world_size=world_size) + optimizers = [optimizer1, optimizer2] + +for opt in optimizers: + for group in opt.param_groups: + group["initial_lr"] = group["lr"] + +# learning rate schedule: stable then decay (KEEP AS IS, but check assert) +def get_lr(step: int): + x = step / args.num_iterations # progress in training + # assert 0 <= x < 1 # Original assert, might fail on last step if step == num_iterations + # --- MODIFICATION: Adjust assert for LR schedule --- + if not (0 <= x <= 1): # Allow x=1 for the last step + x = min(max(x, 0.0), 1.0) # Clamp x if step goes beyond num_iterations + # print0(f"LR schedule x = {x:.4f} (step={step}) was clamped.", console=False) # Optional log + + if x < 1 - args.cooldown_frac: + return 1.0 + else: + # Ensure cooldown_frac is not zero to avoid division by zero + w = (1 - x) / max(args.cooldown_frac, 1e-9) + return w * 1.0 + (1 - w) * 0.1 + +# attention window size schedule (KEEP AS IS) +def next_multiple_of_n(v: float | int, *, n: int): + return next(x for x in range(n, int(v) + 1 + n, n) if x >= v) +@lru_cache(1) +def get_window_size_blocks_helper(window_size: int): + return torch.tensor(window_size // 128, dtype=torch.int32, pin_memory=True).cuda(non_blocking=True) +def get_window_size_blocks(step: int): + x = step / args.num_iterations # progress in training + # --- MODIFICATION: Adjust assert for window size schedule --- + if not (0 <= x <= 1): + x = min(max(x, 0.0), 1.0) # Clamp x + + # Ensure window_size is at least 128 + window_size = max(128, next_multiple_of_n(1728 * x, n=128)) + return get_window_size_blocks_helper(window_size) + + + + +@torch.no_grad() +def calculate_validation_loss(model_to_eval, val_data_pattern, val_batch_size, val_tokens_limit, current_step, window_size_blocks): + """Helper function to calculate validation loss on a subset of the validation set.""" + model_to_eval.eval() + val_loader = distributed_data_generator(val_data_pattern, val_batch_size, rank, world_size) + #val_num_steps = val_tokens_limit // val_batch_size + val_num_steps = (val_tokens_limit // 4) // val_batch_size + if val_num_steps == 0: + print0(f"PRINT: [Validation] ERROR: val_num_steps=0! val_tokens={val_tokens_limit}, batch_size={val_batch_size}", console=True) + + val_loss_sum = torch.zeros(1, device=device) + actual_val_steps = 0 + + for val_i in range(val_num_steps): + try: + inputs, targets = next(val_loader) + loss_val = model_to_eval(inputs, targets, window_size_blocks) + val_loss_sum += loss_val + actual_val_steps += 1 + except StopIteration: + break + + if actual_val_steps > 0: + val_loss_avg = val_loss_sum / actual_val_steps + else: + print0(f"PRINT: [Validation] WARNING: No validation steps completed! actual_val_steps=0, returning NaN", console=True) + val_loss_avg = torch.tensor(float('nan'), device=device) + + del val_loader + dist.all_reduce(val_loss_avg, op=dist.ReduceOp.AVG) + + model_to_eval.train() + return val_loss_avg.item() + +# Helper functions for additional norms +def calculate_l1_to_linf_norm(matrix): + """ + Calculate the ℓ1→ℓ∞ norm (max row L1 norm) of a matrix. + For vectors, returns the L1 norm. + """ + if matrix.ndim == 1: + return torch.sum(torch.abs(matrix)) + elif matrix.ndim == 2: + # Each row's L1 norm, then take maximum + row_l1_norms = torch.sum(torch.abs(matrix), dim=1) + return torch.max(row_l1_norms) + else: + # For higher-dimensional tensors, flatten to 2D + matrix_2d = matrix.view(matrix.shape[0], -1) + row_l1_norms = torch.sum(torch.abs(matrix_2d), dim=1) + return torch.max(row_l1_norms) + +def calculate_spectral_norm(matrix): + """ + Calculate the spectral norm (largest singular value) of a matrix. + For vectors, returns the L2 norm. + """ + # Convert to float32 if needed for linalg operations + if matrix.dtype in [torch.bfloat16, torch.float16]: + matrix = matrix.float() + + if matrix.ndim == 1: + return torch.norm(matrix, p=2) + elif matrix.ndim == 2: + # Use matrix 2-norm (largest singular value) + return torch.linalg.matrix_norm(matrix, ord=2) + else: + # For higher-dimensional tensors, flatten to 2D + matrix_2d = matrix.view(matrix.shape[0], -1) + return torch.linalg.matrix_norm(matrix_2d, ord=2) + +# Import the enhanced analysis function +def calculate_comprehensive_sharpness(model, model_compiled, optimizers, step, args, rank, world_size, print0, get_window_size_blocks, distributed_data_generator): + """ + Comprehensive sharpness analysis including all layers, cross-layer interactions, + gradient correlations, and parameter type analysis. + """ + analysis_results = {} + + # --- 1. Get the true update direction 'v' --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Getting true update direction 'v'...", console=True) + + + optimizer_states_backup = [copy.deepcopy(opt.state_dict()) for opt in optimizers] + params_before_step = [p.clone().detach() for p in model.parameters()] + + grad_calc_loader = distributed_data_generator(args.train_files, world_size * args.train_seq_len, rank, world_size) + try: + inputs, targets = next(grad_calc_loader) + model_compiled.train() + with autocast(device_type='cuda', dtype=torch.bfloat16): + loss_for_grad = model_compiled(inputs, targets, get_window_size_blocks(step)) + loss_for_grad.backward() + + # Store gradients for correlation analysis + layer_gradients = {} + + for param in model.parameters(): + if param.grad is not None: + dist.all_reduce(param.grad, op=dist.ReduceOp.AVG) + finally: + del grad_calc_loader + + for opt in optimizers: + opt.step() + model_compiled.zero_grad(set_to_none=True) + + update_direction_v = [p_before - p.detach() for p_before, p in zip(params_before_step, model.parameters())] + + + for p_model, p_before in zip(model.parameters(), params_before_step): + p_model.data.copy_(p_before.data) + + + for opt, state_backup in zip(optimizers, optimizer_states_backup): + opt.load_state_dict(state_backup) + + + del optimizer_states_backup + del params_before_step + + # --- 2. Calculate update norms (Frobenius, Max-of-Max, Spectral) --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating update norms...", console=True) + + # Calculate total update norm (Frobenius) + total_update_norm_sq = sum(torch.sum(v * v) for v in update_direction_v) + dist.all_reduce(total_update_norm_sq, op=dist.ReduceOp.SUM) + analysis_results["total_update_fnorm"] = torch.sqrt(total_update_norm_sq).item() + + # Calculate TOTAL update Max-of-Max and Spectral norms by concatenating all updates + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating total update Max-of-Max and Spectral norms...", console=True) + try: + # Concatenate all update vectors into one long vector + all_updates_flat = torch.cat([v.flatten() for v in update_direction_v if v.numel() > 0]) + + if all_updates_flat.numel() > 0: + # Calculate total ℓ1→ℓ∞ norm (L1 norm for concatenated vector) + total_l1_linf_norm = torch.sum(torch.abs(all_updates_flat)) + analysis_results["total_l1_linf_norm"] = total_l1_linf_norm.item() + + # Calculate total spectral norm (L2 norm for concatenated vector) + total_spectral_norm = torch.norm(all_updates_flat, p=2) + analysis_results["total_spectral_norm"] = total_spectral_norm.item() + else: + analysis_results["total_l1_linf_norm"] = 0.0 + analysis_results["total_spectral_norm"] = 0.0 + + del all_updates_flat + except Exception as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Error calculating total norms: {e}", console=True) + analysis_results["total_l1_linf_norm"] = 0.0 + analysis_results["total_spectral_norm"] = 0.0 + + # --- 3. Setup layer parameter groups --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Setting up layer parameter groups...", console=True) + + # Only layer groups (1 to 12) + all_param_groups = {} + + for i in range(len(model.blocks)): + block = model.blocks[i] + layer_name = f"layer_{i+1}" + + # All parameters in this layer + all_param_groups[layer_name] = list(block.parameters()) + + # --- 3. Calculate layer-wise and component-wise update norms --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating layer-wise update norms...", console=True) + + # Create parameter to index mapping + param_to_idx = {p: i for i, p in enumerate(model.parameters())} + + # Calculate update norms for each parameter group + for group_name, param_group in all_param_groups.items(): + if not param_group: + continue + + # Get indices for this group + indices = [param_to_idx[p] for p in param_group if p in param_to_idx] + if not indices: + continue + + # Calculate Frobenius norm for this group + group_update_norm_sq = sum(torch.sum(update_direction_v[i] * update_direction_v[i]) for i in indices) + dist.all_reduce(group_update_norm_sq, op=dist.ReduceOp.SUM) + analysis_results[f"{group_name}_update_fnorm"] = torch.sqrt(group_update_norm_sq).item() + + # Calculate Max-of-Max and Spectral norms for this group + group_l1_linf_norms = [] + group_spectral_norms = [] + + for i in indices: + if i < len(update_direction_v) and update_direction_v[i].numel() > 0: + try: + # Calculate ℓ1→ℓ∞ norm for this parameter + l1_linf_norm = calculate_l1_to_linf_norm(update_direction_v[i]) + group_l1_linf_norms.append(l1_linf_norm.item()) + + # Calculate spectral norm for this parameter + spectral_norm = calculate_spectral_norm(update_direction_v[i]) + group_spectral_norms.append(spectral_norm.item()) + except Exception as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Error calculating norms for group {group_name}, param {i}: {e}", console=True) + group_l1_linf_norms.append(0.0) + group_spectral_norms.append(0.0) + + # Store max norms for this group (as per mathematical definition) + if group_l1_linf_norms: + analysis_results[f"{group_name}_max_l1_linf_norm"] = max(group_l1_linf_norms) + else: + analysis_results[f"{group_name}_max_l1_linf_norm"] = 0.0 + + if group_spectral_norms: + analysis_results[f"{group_name}_max_spectral_norm"] = max(group_spectral_norms) + else: + analysis_results[f"{group_name}_max_spectral_norm"] = 0.0 + + # --- 4. Setup for HVP calculation --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Setting up HVP calculation in float32...", console=True) + model.float() # Switch to float32 for precision + update_direction_v_fp32 = [v.float() for v in update_direction_v] + + hvp_loader = distributed_data_generator(args.val_files, world_size * 1024, rank, world_size) + try: + inputs, targets = next(hvp_loader) + + # Calculate loss and first-order gradients once, with graph for second-order grads + loss_hvp = model(inputs, targets, get_window_size_blocks(step)) + grads_hvp = torch.autograd.grad(loss_hvp, model.parameters(), create_graph=True, allow_unused=True) + + # --- 5. Calculate TOTAL sharpness --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating TOTAL sharpness...", console=True) + v_dot_g_total = sum(torch.sum(g * v) for g, v in zip(grads_hvp, update_direction_v_fp32)) + hvp_total_result = torch.autograd.grad(v_dot_g_total, model.parameters(), retain_graph=True, allow_unused=True) + + vhp_dot_v_total = sum(torch.sum(hvp * v) for hvp, v in zip(hvp_total_result, update_direction_v_fp32)) + v_norm_sq_total = sum(torch.sum(v * v) for v in update_direction_v_fp32) + + dist.all_reduce(vhp_dot_v_total, op=dist.ReduceOp.AVG) + dist.all_reduce(v_norm_sq_total, op=dist.ReduceOp.SUM) + + if v_norm_sq_total.item() > 1e-12: + analysis_results["total_sharpness"] = (vhp_dot_v_total / v_norm_sq_total).item() + else: + analysis_results["total_sharpness"] = 0.0 + del hvp_total_result + + # --- 6. Calculate layer-wise sharpness --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating layer-wise sharpness...", console=True) + param_to_idx = {p: i for i, p in enumerate(model.parameters())} + + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Processing {len(all_param_groups)} layers for sharpness...", console=True) + + for group_name, param_group in all_param_groups.items(): + if not param_group: + continue + + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Processing '{group_name}'...", console=True) + indices = {param_to_idx[p] for p in param_group if p in param_to_idx} + if not indices: + continue + + try: + v_dot_g_group = sum(torch.sum(grads_hvp[i] * update_direction_v_fp32[i]) for i in indices) + hvp_group_result = torch.autograd.grad(v_dot_g_group, model.parameters(), retain_graph=True, allow_unused=True) + + vhp_dot_v_group = sum(torch.sum(hvp_group_result[i] * update_direction_v_fp32[i]) for i in indices) + v_norm_sq_group = sum(torch.sum(update_direction_v_fp32[i] * update_direction_v_fp32[i]) for i in indices) + + dist.all_reduce(vhp_dot_v_group, op=dist.ReduceOp.AVG) + dist.all_reduce(v_norm_sq_group, op=dist.ReduceOp.SUM) + + if v_norm_sq_group.item() > 1e-12: + analysis_results[f"{group_name}_sharpness"] = (vhp_dot_v_group / v_norm_sq_group).item() + else: + analysis_results[f"{group_name}_sharpness"] = 0.0 + + # Clean up immediately to save memory + del hvp_group_result + torch.cuda.empty_cache() + + except torch.OutOfMemoryError as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] OOM error for '{group_name}': {e}", console=True) + analysis_results[f"{group_name}_sharpness"] = 0.0 + torch.cuda.empty_cache() + except Exception as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Error processing '{group_name}': {e}", console=True) + analysis_results[f"{group_name}_sharpness"] = 0.0 + + + finally: + del hvp_loader + + # --- 7. Cleanup --- + model.bfloat16() + model.train() # ⚠️ 确保模型回到训练模式（修复NaN问题） + del update_direction_v, update_direction_v_fp32, grads_hvp + # params_before_step 和 optimizer_states_backup 已在第592-593行释放 + gc.collect() + torch.cuda.empty_cache() + + # for opt in optimizers: + # opt.state.clear() + + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Analysis complete. Generated {len(analysis_results)} metrics.", console=True) + return analysis_results + +def format_comprehensive_results(results): + """ + Format the comprehensive analysis results for logging. + """ + log_parts = [] + + # Total sharpness + if 'total_sharpness' in results: + log_parts.append(f"total_sharp:{results['total_sharpness']:.4e}") + + # Layer-wise sharpness + layer_sharpness = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_sharpness" + if layer_key in results: + layer_sharpness.append(f"L{i}_sharp:{results[layer_key]:.4e}") + + if layer_sharpness: + log_parts.append(" ".join(layer_sharpness)) + + # Total update norms (Frobenius, Max-of-Max, Spectral) + total_norms = [] + if 'total_update_fnorm' in results: + total_norms.append(f"total_fnorm:{results['total_update_fnorm']:.4e}") + if 'total_l1_linf_norm' in results: + total_norms.append(f"total_l1_linf:{results['total_l1_linf_norm']:.4e}") + if 'total_spectral_norm' in results: + total_norms.append(f"total_spectral:{results['total_spectral_norm']:.4e}") + + if total_norms: + log_parts.append(" ".join(total_norms)) + + # Layer-wise update norms (Frobenius) + layer_fnorms = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_update_fnorm" + if layer_key in results: + layer_fnorms.append(f"L{i}_fnorm:{results[layer_key]:.4e}") + + if layer_fnorms: + log_parts.append(" ".join(layer_fnorms)) + + # Layer-wise update norms (Max-of-Max) + layer_l1_linf = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_max_l1_linf_norm" + if layer_key in results: + layer_l1_linf.append(f"L{i}_l1linf:{results[layer_key]:.4e}") + + if layer_l1_linf: + log_parts.append(" ".join(layer_l1_linf)) + + # Layer-wise update norms (Spectral) + layer_spectral = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_max_spectral_norm" + if layer_key in results: + layer_spectral.append(f"L{i}_spectral:{results[layer_key]:.4e}") + + if layer_spectral: + log_parts.append(" ".join(layer_spectral)) + + return " ".join(log_parts) + + + + + +print0("PRINT: Compiling model with TorchInductor...", console=True) +# Use 'model' for compilation, not 'model_compiled' before it's defined +model_compiled: nn.Module = torch.compile(model, dynamic=False, mode="max-autotune") +print0("PRINT: Model compilation complete.", console=True) + +# Set model for Hessian analyzer after compilation +# IMPORTANT: All ranks must initialize to avoid NCCL timeout (model forward needs all ranks) +if exp_args.analyze_hessian_spectrum: + # NOTE: model_forward_fn will be updated dynamically before each Hessian analysis + # to use the correct window_size_blocks for the current training step + hessian_analyzer = HessianSpectrumFullBatch( + model=model, # Use original model, not compiled + device=device, + m=exp_args.hessian_lanczos_m, + num_v=exp_args.hessian_num_v, + sigma=exp_args.hessian_sigma, + model_forward_fn=None # Will be set dynamically before each analysis + ) + +######################################## +# Warmup kernels # +######################################## +print0("PRINT: Starting warmup...", console=True) +warmup_steps = 10 +initial_state = dict(model=copy.deepcopy(model_compiled.state_dict()), # Use model_compiled + optimizers=[copy.deepcopy(opt.state_dict()) for opt in optimizers]) +for i in range(warmup_steps): + # print0(f"Warmup step {i+1}/{warmup_steps}", console=False) # Less verbose + inputs = targets = torch.randint(0, args.vocab_size, size=(args.train_seq_len,), device="cuda") + loss = model_compiled(inputs.to(torch.int32), targets, get_window_size_blocks(0)) # Use model_compiled + loss.backward() + for param in model_compiled.parameters(): # Use model_compiled + if param.grad is not None: + dist.all_reduce(param.grad, op=dist.ReduceOp.AVG) + for opt in optimizers: + opt.step() + model_compiled.zero_grad(set_to_none=True) # Use model_compiled +model_compiled.load_state_dict(initial_state["model"]) # Use model_compiled +for opt, opt_state in zip(optimizers, initial_state["optimizers"]): + opt.load_state_dict(opt_state) +del initial_state +print0("PRINT: Warmup complete.", console=True) +torch.cuda.synchronize() + + +######################################## +# Training and validation # +######################################## +print0("PRINT: Starting training...", console=True) +train_loader = distributed_data_generator(args.train_files, world_size * args.train_seq_len, rank, world_size) +training_time_ms = 0 +torch.cuda.synchronize() +t0 = time.perf_counter() +train_steps = args.num_iterations + +for step in range(train_steps + 1): # Loop up to num_iterations (inclusive for final validation) + last_step = (step == train_steps) + + # --------------- VALIDATION SECTION ----------------- + # Validate at step 0 (after warmup), at specified intervals, and at the very last step + # Allow step 0 for initial analysis + if last_step or (args.val_loss_every > 0 and step % args.val_loss_every == 0): + torch.cuda.synchronize() + current_run_time = 1000 * (time.perf_counter() - t0) + training_time_ms += current_run_time + + # --- 1. Compute baseline validation loss --- + print0(f"PRINT: [Validation @ Step {step}] Calculating base validation loss...", console=True) + val_loss_item = calculate_validation_loss( + model_compiled, + args.val_files, + world_size * args.val_seq_len, + args.val_tokens, + step, + get_window_size_blocks(step) + ) + + # --- 2. Comprehensive Sharpness Analysis (all layers, cross-interactions, correlations) --- + sharpness_log_str = "" + # Only run sharpness if explicitly enabled via --analyze_sharpness flag + if exp_args.analyze_sharpness: + if exp_args.model_parameterization in ["qkvo", "gated"]: + comprehensive_results = calculate_comprehensive_sharpness( + model, model_compiled, optimizers, step, args, rank, world_size, + print0, get_window_size_blocks, distributed_data_generator + ) + sharpness_log_str = format_comprehensive_results(comprehensive_results) + else: + print0(f"PRINT: [Sharpness @ Step {step}] Skipping sharpness calculation for model_parameterization='{exp_args.model_parameterization}'.", console=True) + + # --- 3. Hessian Spectrum Analysis (if enabled and at specified intervals) --- + # IMPORTANT: ALL ranks must execute to avoid NCCL timeout (model forward needs all ranks) + if (hessian_analyzer is not None and + (step % exp_args.hessian_analysis_interval == 0 or step == 0 or last_step)): + try: + print0(f"PRINT: [Rank {rank}] [Hessian @ Step {step}] Starting MULTI-BATCH analysis...", console=False) + if master_process: + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Computing {exp_args.hessian_num_v} × {exp_args.hessian_lanczos_m} = {exp_args.hessian_num_v * exp_args.hessian_lanczos_m} eigenvalue samples over {exp_args.hessian_num_batches} batches", console=True) + + + current_window_size_blocks = get_window_size_blocks(step) + + def model_forward_with_window(model_obj, inputs, targets): + """Custom forward function using current step's window_size_blocks""" + return model_obj(inputs, targets, current_window_size_blocks) + + # Update hessian_analyzer's forward function to use current window size + hessian_analyzer.model_forward_fn = model_forward_with_window + + + + hessian_data_loader = distributed_data_generator( + args.train_files, world_size * args.train_seq_len, rank, world_size + ) + + + try: + # ALL ranks run spectrum analysis with MULTIPLE BATCHES + # This is the key difference: compute_full_spectrum now takes data_loader and num_batches + spectrum_results = hessian_analyzer.compute_full_spectrum( + data_loader=hessian_data_loader, + num_batches=exp_args.hessian_num_batches # Multi-batch averaging! + ) + + # Only master saves results + if master_process: + hessian_analyzer.save_results(spectrum_results, hessian_results_dir, step) + print0(f"PRINT: [Hessian Spectrum @ Step {step}] " + f"λ_max:{spectrum_results['largest_eigenvalue']:.4e} " + f"λ_min:{spectrum_results['smallest_eigenvalue']:.4e} " + f"λ_mean:{spectrum_results['mean_eigenvalue']:.4e} " + f"λ_median:{spectrum_results['median_eigenvalue']:.4e} " + f"pos/neg:{spectrum_results['num_positive']}/{spectrum_results['num_negative']} " + f"time:{spectrum_results['computation_time']:.1f}s", console=True) + + # Print top eigenvalues to check for outliers + if 'top_10_eigenvalues' in spectrum_results: + top_5 = spectrum_results['top_10_eigenvalues'][:5] + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Top-5 eigenvalues (outliers): {top_5}", console=True) + + finally: + # Clean up + del hessian_data_loader + model.train() # Return to training mode + torch.cuda.empty_cache() + gc.collect() + + except Exception as e: + print0(f"PRINT: [Rank {rank}] [Hessian @ Step {step}] Error: {e}", console=False) + if master_process: + import traceback + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Traceback: {traceback.format_exc()}", console=False) + model.train() # Ensure we return to training mode even on error + + # Synchronize all ranks after Hessian analysis + dist.barrier() + if master_process: + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Multi-batch analysis complete, resuming training...", console=True) + + # --- 4. Logging --- + avg_step_time = training_time_ms / max(step, 1) + print0(f"PRINT: step:{step}/{train_steps} val_loss:{val_loss_item:.4f} {sharpness_log_str} train_time:{training_time_ms:.0f}ms step_avg:{avg_step_time:.2f}ms", console=True) + + # --- 5. Reset timer for the next training segment --- + torch.cuda.synchronize() + t0 = time.perf_counter() + + + if last_step: + if master_process and args.save_checkpoint: + if run_dir_path_str: # Ensure run_dir_path_str is set by master process + checkpoint_parent_dir = Path(run_dir_path_str) / "checkpoints" + checkpoint_parent_dir.mkdir(parents=True, exist_ok=True) # Create checkpoints subdir + checkpoint_path = checkpoint_parent_dir / f"state_step{step:06d}.pt" + log_checkpoint = dict(step=step, code=code, model=model_compiled.state_dict(), # Use model_compiled + optimizers=[opt.state_dict() for opt in optimizers]) + torch.save(log_checkpoint, str(checkpoint_path)) # Convert Path to str for torch.save + print0(f"PRINT: Saved checkpoint to {checkpoint_path}", console=True) + else: + print0("PRINT: Warning - run_dir_path_str not set, cannot save checkpoint.", console=True) + break + + + + # --------------- TRAINING SECTION ----------------- + try: + inputs, targets = next(train_loader) + except StopIteration: + print0(f"PRINT: Training data loader for '{args.train_files}' exhausted. Ending training early at step {step}.", console=True) + break # End if data runs out + + loss_train = model_compiled(inputs, targets, get_window_size_blocks(step)) # Use model_compiled + loss_train.backward() + + for param in model_compiled.parameters(): # Use model_compiled + if param.grad is not None: # Check if grad exists + dist.all_reduce(param.grad, op=dist.ReduceOp.AVG) + + current_lr_val = get_lr(step) + for opt in optimizers: + for group in opt.param_groups: + group["lr"] = group["initial_lr"] * current_lr_val + + # --- MODIFICATION: Muon momentum warmup only if optimizer2 (Muon) exists --- + if optimizer2 is not None: # Check if Muon optimizer was created + for group in optimizer2.param_groups: + frac = min(step / 300, 1) # momentum warmup for muon + group["momentum"] = (1 - frac) * 0.85 + frac * 0.95 + + for opt in optimizers: + opt.step() + + model_compiled.zero_grad(set_to_none=True) # Use model_compiled + + # Logging (less frequent for training steps) + if step > 0 and (step % 20 == 0 or step == train_steps -1) : # Avoid logging at step 0 before first val + # This time is for the current segment since last validation / t0 reset + current_segment_time_ms = 1000 * (time.perf_counter() - t0) + # approx_training_time_ms is the total cumulative time + approx_total_training_time_ms = training_time_ms + current_segment_time_ms + + total_tokens_in_batch = args.train_seq_len * world_size + train_loss_per_token = loss_train.item() / total_tokens_in_batch if total_tokens_in_batch > 0 else loss_train.item() + + print0(f"step:{step+1}/{train_steps} train_time:{approx_total_training_time_ms:.0f}ms step_avg:{approx_total_training_time_ms/max(1, step + 1):.2f}ms", console=True) # Log to console too + + + + +print0(f"PRINT: --- Training Finished: {time.ctime()} ---", console=True) +print0(f"PRINT: Peak memory allocated: {torch.cuda.max_memory_allocated() // 1024 // 1024} MiB " + f"reserved: {torch.cuda.max_memory_reserved() // 1024 // 1024} MiB", console=True) + +if dist.is_initialized(): + dist.destroy_process_group() +[2026-01-08 06:15:09] [Rank 0] import os +import sys +with open(sys.argv[0]) as f: + code = f.read() # read the code of this file ASAP, for logging +import uuid +import time +import copy +import glob +from dataclasses import dataclass, asdict +from functools import lru_cache +from pathlib import Path +import argparse # Keep argparse for --unet and potentially --optimizer_mode +import json +import random +import numpy as np +import gc +from torch.cuda.amp import autocast +from torch.func import functional_call +from torch.amp import autocast +import itertools +from itertools import cycle + +os.environ["PYTORCH_CUDA_ALLOC_CONF"] = "expandable_segments:True" +import torch +torch.empty(1, device="cuda", requires_grad=True).backward() # prevents a bug on some systems +from torch import Tensor, nn +import torch.nn.functional as F +import torch.distributed as dist +# use of FlexAttention contributed by @KoszarskyB +from torch.nn.attention.flex_attention import BlockMask, flex_attention +sys.path.append("/home/aiops/zhangfz/MUON_sharpness/modded-nanogpt") # Already present +from optimizers.MUON_new import Muon +from utils.float_compute import mm_op, backward as mm_backward_custom, setup_context as mm_setup_context_custom # Renamed +# from utils.hessian_spectrum import HessianSpectrumAnalyzer, create_loss_function_wrapper # Old +# from utils.hessian_spectrum_paper_method import HessianSpectrumPaper # sun ruoyu's method (single-batch) +from utils.hessian_spectrum_full_batch import HessianSpectrumFullBatch + +#from kn_util.utils import setup_debugpy +#torch._inductor.config.coordinate_descent_tuning = True + +# ----------------------------------------------------------------------------- + +mm_op.register_autograd(mm_backward_custom, setup_context=mm_setup_context_custom) # Use renamed imports + +# ----------------------------------------------------------------------------- +# Seeding Function +def set_seed(seed): + random.seed(seed) + np.random.seed(seed) + torch.manual_seed(seed) + if torch.cuda.is_available(): + torch.cuda.manual_seed_all(seed) + print(f"PRINT: Set seed to {seed}", flush=True) # Print immediately for all ranks + +# ----------------------------------------------------------------------------- +# Our own simple Distributed Data Loader (KEEP AS IS) +def _load_data_shard(file: Path): + header = torch.from_file(str(file), False, 256, dtype=torch.int32) + assert header[0] == 20240520, "magic number mismatch in the data .bin file" + assert header[1] == 1, "unsupported version" + num_tokens = int(header[2]) + with file.open("rb", buffering=0) as f: + tokens = torch.empty(num_tokens, dtype=torch.uint16, pin_memory=True) + f.seek(256 * 4) + nbytes = f.readinto(tokens.numpy()) + assert nbytes == 2 * num_tokens, "number of tokens read does not match header" + return tokens + +def distributed_data_generator(filename_pattern: str, batch_size: int, rank : int, world_size : int): + """ + Distributed data generator for training. + + Args: + filename_pattern: glob pattern for data files + batch_size: total batch size across all ranks + rank: current process rank + world_size: total number of processes + """ + files = [Path(file) for file in sorted(glob.glob(filename_pattern))] + assert batch_size % world_size == 0 + local_batch_size = batch_size // world_size + file_iter = cycle(files) # use itertools.cycle(files) instead if you want to do multi-epoch training + tokens, pos = _load_data_shard(next(file_iter)), 0 + while True: + if pos + batch_size + 1 >= len(tokens): + tokens, pos = _load_data_shard(next(file_iter)), 0 + buf = tokens[pos + rank * local_batch_size:][:local_batch_size + 1] + inputs = buf[:-1].to(device="cuda", dtype=torch.int32, non_blocking=True) # no sync on host side; + targets = buf[1:].to(device="cuda", dtype=torch.int64, non_blocking=True) # H2D in another stream isn't helpful. + pos += batch_size + yield inputs, targets + + +# ----------------------------------------------------------------------------- +# int main +parser = argparse.ArgumentParser(description="NanoGPT Training Script with Muon") +parser.add_argument("--unet", action="store_true", help="Use U-net architecture") +parser.add_argument("--seed", type=int, default=42, help="Random seed for reproducibility") +# --- MODIFICATION: Add optimizer_mode as a CLI argument --- +parser.add_argument("--optimizer_mode", type=int, default=0, + help="Defines how Muon is applied. " + "0: Muon(All Hidden Attn+MLP - original); " + "1: Muon(QK Attn)/Adam(VO Attn,MLP); " + "2: Muon(VO Attn)/Adam(QK Attn,MLP); " + "3: Muon(All Attn)/Adam(MLP); " + "4: Muon(MLP)/Adam(All Attn)" + "5: All Adam (No Muon, all applicable matrices to Adam)." + "6: Muon(W_2 MLP)/Adam(attn, W_1 MLP)." + "7: Muon(VO Attn, MLP)/Adam(QK Attn)." + "8: Muon(VO Attn, W_2 MLP)/Adam(QK Attn, W_1 MLP)." + ) +parser.add_argument("--model_parameterization", type=str, default="whole",choices=["whole","qkvo"]) +parser.add_argument("--adam_lr", type=float, default=0.001, help="Learning rate for Adam optimizer") +parser.add_argument("--muon_lr", type=float, default=0.05, help="Learning rate for Muon optimizer") +parser.add_argument("--base_dir", type=str, default="logs/sharpness_clean_muon_1223", help="Base directory for logs") +parser.add_argument("--analyze_hessian_spectrum", action="store_true", help="Enable Hessian spectrum analysis") +parser.add_argument("--hessian_analysis_interval", type=int, default=500, help="Interval for Hessian spectrum analysis") +parser.add_argument("--hessian_lanczos_m", type=int, default=50, help="Number of Lanczos iterations (eigenvalues per random vector)") +parser.add_argument("--hessian_num_v", type=int, default=10, help="Number of random initialization vectors") +parser.add_argument("--hessian_sigma", type=float, default=1e-5**0.5, help="Gaussian KDE bandwidth (default: 1e-5**0.5)") +parser.add_argument("--hessian_num_batches", type=int, default=20, help="Number of batches to average for Hessian computation") +parser.add_argument("--analyze_sharpness", action="store_true", help="Enable sharpness analysis (disabled by default)") +exp_args = parser.parse_args() +set_seed(exp_args.seed) + +# --- MODIFICATION: Import correct GPT model based on --unet flag --- +if exp_args.unet: + print("Using U-net architecture") + from models.nano_GPT_unet import GPT +elif exp_args.model_parameterization == "qkvo": + print("Using architecture (models.nano_gpt_qkvo) with CausalSelfAttention having q_w, k_w, v_w") + # This MUST be the nano_GPT.py file where CausalSelfAttention has q_w, k_w, v_w + from models.nano_GPT_qkvo_ve import GPT + +elif exp_args.model_parameterization == "whole": + print("Using original architecture") + from models.nano_GPT import GPT + +@dataclass +class Hyperparameters: + # data + + train_files = "/home/aiops/zhangfz/MUON_theory/modded-nanogpt/data/fineweb10B/fineweb_train_*.bin" + val_files = "/home/aiops/zhangfz/MUON_theory/modded-nanogpt/data/fineweb10B/fineweb_val_*.bin" + val_tokens = 1966080 + #val_tokens = 10485760 + train_seq_len = 12*1024 + val_seq_len = 4*16*1024 + + # optimization + num_iterations = 10000 #1770 # Original: 1770 + cooldown_frac = 0 + # architecture + + vocab_size = 50257 + + # evaluation and logging + val_loss_every = 500 # Increased to reduce memory pressure from frequent sharpness calculations + save_checkpoint = False +args = Hyperparameters() + +# DDP setup (KEEP AS IS, but ensure rank and world_size are correctly used) +rank = int(os.environ.get("RANK", 0)) +local_rank = int(os.environ.get("LOCAL_RANK", 0)) # Used for device setting +world_size = int(os.environ.get("WORLD_SIZE", 1)) + +# print(f"[Rank {rank}] Global Rank: {rank}, Local Rank: {local_rank}, World Size: {world_size}", flush=True) # Debug + +assert torch.cuda.is_available() +device = torch.device("cuda", local_rank) # Use local_rank for device +torch.cuda.set_device(device) + +if not dist.is_initialized(): # Ensure DDP is initialized only once + dist.init_process_group(backend="nccl", rank=rank, world_size=world_size) # Pass rank and world_size +dist.barrier() +master_process = (rank == 0) + +# Logging setup (KEEP AS IS, but maybe add optimizer_mode to filename) +logfile = None +# --- MODIFICATION: Add optimizer_mode to log file name and specify new dir --- +#log_dir = "modded-nanogpt/logs_detailed_attn_minimal_changes" +#if master_process: +# run_id = uuid.uuid4() +# os.makedirs(log_dir, exist_ok=True) # Create new log directory +# logfile = f"{log_dir}/exp_mode_{exp_args.optimizer_mode}_param_{exp_args.model_parameterization}_{run_id}.txt" +# print(f"Logging to: {logfile}") + +logfile = None +run_dir_path_str = None + +base_log_dir = Path(exp_args.base_dir) + +# Initialize Hessian spectrum analyzer if requested +hessian_analyzer = None +hessian_results_dir = None + +if master_process: + # Set seed again specifically for master process for operations like dir creation, config saving + set_seed(exp_args.seed) + + # Construct folder name based on config and seed + run_folder_name = f"mode_{exp_args.optimizer_mode}_param_{exp_args.model_parameterization}_seed_{exp_args.seed}" + run_dir_path = base_log_dir / run_folder_name + run_dir_path.mkdir(parents=True, exist_ok=True) + run_dir_path_str = str(run_dir_path) + + run_uuid = uuid.uuid4() + logfile = run_dir_path / f"training_log_{run_uuid}.txt" + print(f"Logging to: {logfile}") + + # Save configuration + config_to_save = { + "cli_args": vars(exp_args), + "hyperparameters": {k: v for k, v in args.__class__.__dict__.items() if not k.startswith('__') and not callable(v)}, + "run_uuid_for_log": str(run_uuid), + "script_code_logged_at_start": True + } + config_file_path = run_dir_path / "config.json" + with open(config_file_path, "w") as f: + json.dump(config_to_save, f, indent=4) + print(f"Saved configuration to: {config_file_path}") + + # Setup Hessian results directory inside the run directory + if exp_args.analyze_hessian_spectrum: + hessian_results_dir = run_dir_path / "hessian_spectrum" + hessian_results_dir.mkdir(parents=True, exist_ok=True) + print(f"Hessian spectrum results will be saved to: {hessian_results_dir}") +else: + # Non-master processes also need to know the hessian_results_dir path for sync + if exp_args.analyze_hessian_spectrum: + run_folder_name = f"mode_{exp_args.optimizer_mode}_param_{exp_args.model_parameterization}_seed_{exp_args.seed}" + run_dir_path = base_log_dir / run_folder_name + hessian_results_dir = run_dir_path / "hessian_spectrum" + +def print0(s, console=False): + if master_process: + # Add timestamp and rank for better log readability + timestamp = time.strftime("%Y-%m-%d %H:%M:%S", time.localtime()) + log_message = f"[{timestamp}] [Rank {rank}] {s}" + + # Print to console if requested or if it's a specific "PRINT:" message + if console or s.startswith("PRINT:"): + actual_s = s[6:] if s.startswith("PRINT:") else s + print(actual_s) # Print to stdout for master process + + if logfile: + with open(logfile, "a") as f: + f.write(log_message + "\n") + + with open(logfile, "a") as f: + f.write(log_message + "\n") + + +print0(f"PRINT: --- Script Start: {time.ctime()} ---", console=True) +print0(f"PRINT: Parsed CLI args: {exp_args}", console=True) +print0(f"PRINT: Hyperparameters: {args}", console=True) +print0(f"PRINT: Using fixed seed: {exp_args.seed}", console=True) +if master_process: + print0(f"PRINT: Run directory: {run_dir_path_str}", console=True) +print0(code) # Log the code +# ... (other initial logs) + +######################################## +# Construct model and optimizer # +######################################## +print0("PRINT: Constructing model...", console=True) +model: nn.Module = GPT(vocab_size=args.vocab_size, num_layers=12, num_heads=6, model_dim=768, + max_seq_len=max(args.train_seq_len, args.val_seq_len)).cuda() +for m in model.modules(): + if isinstance(m, nn.Embedding): + m.bfloat16() +print0("PRINT: Broadcasting model parameters...", console=True) +for param in model.parameters(): + dist.broadcast(param.detach(), 0) +print0("PRINT: Model constructed and broadcasted.", console=True) + +# --- START MODIFIED PARAMETER COLLECTION AND OPTIMIZER SETUP --- +if exp_args.model_parameterization == "qkvo": + print0("PRINT: Collecting parameters for optimizers...", console=True) + head_params = [model.lm_head.weight] + # Handle models with or without value_embeds + if hasattr(model, 'value_embeds'): + embed_params = [model.embed.weight] + [ve.weight for ve in model.value_embeds] + else: + embed_params = [model.embed.weight] + + # Granular collection for attention and MLP parts + attn_q_params = [] + attn_k_params = [] + attn_v_params = [] + attn_o_params = [] # W_O from c_proj + mlp_fc_params = [] + mlp_proj_params = [] + + for block_module in model.blocks: + if block_module.attn is not None: + # These attributes (q_w, k_w, v_w) MUST exist in your CausalSelfAttention class + if hasattr(block_module.attn, 'q_w'): attn_q_params.append(block_module.attn.q_w) + else: print0(f"PRINT: Warning: q_w not found in attn module of a block.", console=True) + if hasattr(block_module.attn, 'k_w'): attn_k_params.append(block_module.attn.k_w) + else: print0(f"PRINT: Warning: k_w not found in attn module of a block.", console=True) + if hasattr(block_module.attn, 'v_w'): attn_v_params.append(block_module.attn.v_w) + else: print0(f"PRINT: Warning: v_w not found in attn module of a block.", console=True) + attn_o_params.append(block_module.attn.c_proj.weight) + if block_module.mlp is not None: + mlp_fc_params.append(block_module.mlp.c_fc.weight) + mlp_proj_params.append(block_module.mlp.c_proj.weight) + + # Combine into logical groups for experiments + attn_qk_group = attn_q_params + attn_k_params + attn_vo_group = attn_v_params + attn_o_params + all_attn_matrices = attn_qk_group + attn_vo_group + mlp_w1_group = mlp_fc_params + mlp_w2_group = mlp_proj_params + all_mlp_matrices = mlp_fc_params + mlp_proj_params + + # Scalar parameters (all others not explicitly grouped as matrices) + matrix_params_for_scalar_check = set(head_params + embed_params + all_attn_matrices + all_mlp_matrices) + scalar_params = [p for n, p in model.named_parameters() if p not in matrix_params_for_scalar_check] + for p_scalar in scalar_params: # Sanity check + if p_scalar.ndim >=2: + print0(f"PRINT: Warning - Parameter {p_scalar.shape} ended up in scalar_params but has ndim >= 2. Check grouping.", console=True) + + + # Determine parameter distribution based on optimizer_mode + muon_params_target_list = [] + adam_matrix_target_list = [] # Matrices that Adam will handle specifically + adam_matrix_lr = exp_args.adam_lr # LR for matrices if Adam handles them (can be tuned) + muon_lr = exp_args.muon_lr + + current_optimizer_mode = exp_args.optimizer_mode + print0(f"PRINT: Configuring optimizers for EXPERIMENT_MODE = {current_optimizer_mode}", console=True) + + if current_optimizer_mode == 0: # Original behavior: Muon on all "hidden_matrix_params" + print0(f"PRINT: Mode 0: Muon on ALL Attention (QKVO) and ALL MLP matrices.", console=True) + muon_params_target_list = all_attn_matrices + all_mlp_matrices + # Adam handles embeds, head, scalars by default. No extra matrices for Adam here. + elif current_optimizer_mode == 1: # Muon on QK, Adam on VO and MLP + print0(f"PRINT: Mode 1: Muon on QK Attn. Adam on VO Attn, MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_qk_group + adam_matrix_target_list = attn_vo_group + all_mlp_matrices + elif current_optimizer_mode == 2: # Muon on VO, Adam on QK and MLP + print0(f"PRINT: Mode 2: Muon on VO Attn. Adam on QK Attn, MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_vo_group + adam_matrix_target_list = attn_qk_group + all_mlp_matrices + elif current_optimizer_mode == 3: # Muon on All Attn (QKVO), Adam on MLP + print0(f"PRINT: Mode 3: Muon on ALL Attn (QKVO). Adam on MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = all_attn_matrices + adam_matrix_target_list = all_mlp_matrices + elif current_optimizer_mode == 4: # Muon on MLP, Adam on All Attn (QKVO) + print0(f"PRINT: Mode 4: Muon on MLP. Adam on ALL Attn (QKVO) (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = all_mlp_matrices + adam_matrix_target_list = all_attn_matrices + elif current_optimizer_mode == 5: # NEW MODE 5 - All Adam + print0(f"PRINT: Mode 5: All Adam. All Attn and MLP matrices to Adam (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = [] + adam_matrix_target_list = all_attn_matrices + all_mlp_matrices # All matrices to Adam + elif current_optimizer_mode == 6: # Muon on W_2 MLP, Adam on attn, W_1 MLP + print0(f"PRINT: Mode 6: Muon on W_2 MLP. Adam on attn, W_1 MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = mlp_w2_group + adam_matrix_target_list = all_attn_matrices + mlp_w1_group + elif current_optimizer_mode == 7: # Muon on VO Attn, MLP, Adam on QK Attn + print0(f"PRINT: Mode 7: Muon on VO Attn, MLP. Adam on QK Attn (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_vo_group + all_mlp_matrices + adam_matrix_target_list = attn_qk_group + elif current_optimizer_mode == 8: # Muon on VO Attn, W_2 MLP, Adam on QK Attn, W_1 MLP + print0(f"PRINT: Mode 8: Muon on VO Attn, W_2 MLP. Adam on QK Attn, W_1 MLP (Adam LR: {adam_matrix_lr}).", console=True) + muon_params_target_list = attn_vo_group + mlp_w2_group + adam_matrix_target_list = attn_qk_group + mlp_w1_group + else: + raise ValueError(f"Unsupported EXPERIMENT_MODE: {current_optimizer_mode}") + + # Adam optimizer setup + adam_param_groups_config = [ + #dict(params=head_params, lr=0.22), + #dict(params=embed_params, lr=0.6), + #dict(params=scalar_params, lr=0.04) # Scalar params always go to Adam + dict(params=head_params, lr=adam_matrix_lr), + dict(params=embed_params, lr=adam_matrix_lr), + dict(params=scalar_params, lr=adam_matrix_lr) # Scalar params always go to Adam + ] + # Add matrices specifically assigned to Adam for this experiment mode + if adam_matrix_target_list: + # Ensure adam_matrix_target_list is flat and contains Parameters + flat_adam_matrices = [p for sublist_or_p in adam_matrix_target_list for p in (sublist_or_p if isinstance(sublist_or_p, list) else [sublist_or_p]) if p is not None] + if flat_adam_matrices: # Only add group if there are params + adam_param_groups_config.append(dict(params=flat_adam_matrices, lr=adam_matrix_lr)) + + # Filter out any Adam groups that might be empty (e.g., if scalar_params was empty) + adam_param_groups_config = [g for g in adam_param_groups_config if g['params']] + optimizer1 = torch.optim.Adam(adam_param_groups_config, betas=(0.8, 0.95), eps=1e-10, fused=True) + optimizers = [optimizer1] # Start with Adam + + # Muon optimizer setup + if muon_params_target_list: + # Ensure muon_params_target_list is flat, unique, and contains Parameters + flat_unique_muon_params = [] + seen_muon_ids = set() + for sublist_or_p in muon_params_target_list: + for p in (sublist_or_p if isinstance(sublist_or_p, list) else [sublist_or_p]): + if p is not None and id(p) not in seen_muon_ids: + flat_unique_muon_params.append(p) + seen_muon_ids.add(id(p)) + + if flat_unique_muon_params: # Only create Muon if it has parameters + # optimizer2 = Muon(flat_unique_muon_params, lr=muon_lr, momentum=0.95, nesterov=False, ns_steps=5, rank=rank, world_size=world_size) # Pass nesterov, ns_steps + optimizer2 = Muon(flat_unique_muon_params, lr=exp_args.muon_lr, momentum=0.95, weight_decay=0.0) + optimizers.append(optimizer2) + else: + print0("PRINT: Muon optimizer not created as its target parameter list was empty.", console=True) + optimizer2 = None # Explicitly set to None if not created + else: + print0("PRINT: Muon optimizer not created as muon_params_target_list was empty (e.g. mode where Adam handles all matrices).", console=True) + optimizer2 = None # Explicitly set to None + + print0(f"PRINT: Optimizers configured. Total optimizers: {len(optimizers)}", console=True) + if optimizer2: + print0(f"PRINT: Muon optimizer is active with {len(flat_unique_muon_params)} parameters.", console=True) + # --- END MODIFIED PARAMETER COLLECTION AND OPTIMIZER SETUP --- +elif exp_args.model_parameterization == "whole": + hidden_matrix_params = [p for n, p in model.blocks.named_parameters() if p.ndim >= 2 and "embed" not in n] + embed_params = [p for n, p in model.named_parameters() if "embed" in n] + scalar_params = [p for p in model.parameters() if p.ndim < 2] + head_params = [model.lm_head.weight] + + # init the optimizer(s) + adam_params = [dict(params=head_params, lr=0.22), dict(params=embed_params, lr=0.6), dict(params=scalar_params, lr=0.04)] + # small adam epsilon by @YouJiacheng. this is an alternate method of fixing the world_size dependence + # discovered by @fernbear.bsky.social https://x.com/hi_tysam/status/1879692937589875094 + optimizer1 = torch.optim.Adam(adam_params, betas=(0.8, 0.95), eps=1e-10, fused=True) + optimizer2 = Muon(hidden_matrix_params, lr=0.05, momentum=0.95, rank=rank, world_size=world_size) + optimizers = [optimizer1, optimizer2] + +for opt in optimizers: + for group in opt.param_groups: + group["initial_lr"] = group["lr"] + +# learning rate schedule: stable then decay (KEEP AS IS, but check assert) +def get_lr(step: int): + x = step / args.num_iterations # progress in training + # assert 0 <= x < 1 # Original assert, might fail on last step if step == num_iterations + # --- MODIFICATION: Adjust assert for LR schedule --- + if not (0 <= x <= 1): # Allow x=1 for the last step + x = min(max(x, 0.0), 1.0) # Clamp x if step goes beyond num_iterations + # print0(f"LR schedule x = {x:.4f} (step={step}) was clamped.", console=False) # Optional log + + if x < 1 - args.cooldown_frac: + return 1.0 + else: + # Ensure cooldown_frac is not zero to avoid division by zero + w = (1 - x) / max(args.cooldown_frac, 1e-9) + return w * 1.0 + (1 - w) * 0.1 + +# attention window size schedule (KEEP AS IS) +def next_multiple_of_n(v: float | int, *, n: int): + return next(x for x in range(n, int(v) + 1 + n, n) if x >= v) +@lru_cache(1) +def get_window_size_blocks_helper(window_size: int): + return torch.tensor(window_size // 128, dtype=torch.int32, pin_memory=True).cuda(non_blocking=True) +def get_window_size_blocks(step: int): + x = step / args.num_iterations # progress in training + # --- MODIFICATION: Adjust assert for window size schedule --- + if not (0 <= x <= 1): + x = min(max(x, 0.0), 1.0) # Clamp x + + # Ensure window_size is at least 128 + window_size = max(128, next_multiple_of_n(1728 * x, n=128)) + return get_window_size_blocks_helper(window_size) + + + + +@torch.no_grad() +def calculate_validation_loss(model_to_eval, val_data_pattern, val_batch_size, val_tokens_limit, current_step, window_size_blocks): + """Helper function to calculate validation loss on a subset of the validation set.""" + model_to_eval.eval() + val_loader = distributed_data_generator(val_data_pattern, val_batch_size, rank, world_size) + #val_num_steps = val_tokens_limit // val_batch_size + val_num_steps = (val_tokens_limit // 4) // val_batch_size + if val_num_steps == 0: + print0(f"PRINT: [Validation] ERROR: val_num_steps=0! val_tokens={val_tokens_limit}, batch_size={val_batch_size}", console=True) + + val_loss_sum = torch.zeros(1, device=device) + actual_val_steps = 0 + + for val_i in range(val_num_steps): + try: + inputs, targets = next(val_loader) + loss_val = model_to_eval(inputs, targets, window_size_blocks) + val_loss_sum += loss_val + actual_val_steps += 1 + except StopIteration: + break + + if actual_val_steps > 0: + val_loss_avg = val_loss_sum / actual_val_steps + else: + print0(f"PRINT: [Validation] WARNING: No validation steps completed! actual_val_steps=0, returning NaN", console=True) + val_loss_avg = torch.tensor(float('nan'), device=device) + + del val_loader + dist.all_reduce(val_loss_avg, op=dist.ReduceOp.AVG) + + model_to_eval.train() + return val_loss_avg.item() + +# Helper functions for additional norms +def calculate_l1_to_linf_norm(matrix): + """ + Calculate the ℓ1→ℓ∞ norm (max row L1 norm) of a matrix. + For vectors, returns the L1 norm. + """ + if matrix.ndim == 1: + return torch.sum(torch.abs(matrix)) + elif matrix.ndim == 2: + # Each row's L1 norm, then take maximum + row_l1_norms = torch.sum(torch.abs(matrix), dim=1) + return torch.max(row_l1_norms) + else: + # For higher-dimensional tensors, flatten to 2D + matrix_2d = matrix.view(matrix.shape[0], -1) + row_l1_norms = torch.sum(torch.abs(matrix_2d), dim=1) + return torch.max(row_l1_norms) + +def calculate_spectral_norm(matrix): + """ + Calculate the spectral norm (largest singular value) of a matrix. + For vectors, returns the L2 norm. + """ + # Convert to float32 if needed for linalg operations + if matrix.dtype in [torch.bfloat16, torch.float16]: + matrix = matrix.float() + + if matrix.ndim == 1: + return torch.norm(matrix, p=2) + elif matrix.ndim == 2: + # Use matrix 2-norm (largest singular value) + return torch.linalg.matrix_norm(matrix, ord=2) + else: + # For higher-dimensional tensors, flatten to 2D + matrix_2d = matrix.view(matrix.shape[0], -1) + return torch.linalg.matrix_norm(matrix_2d, ord=2) + +# Import the enhanced analysis function +def calculate_comprehensive_sharpness(model, model_compiled, optimizers, step, args, rank, world_size, print0, get_window_size_blocks, distributed_data_generator): + """ + Comprehensive sharpness analysis including all layers, cross-layer interactions, + gradient correlations, and parameter type analysis. + """ + analysis_results = {} + + # --- 1. Get the true update direction 'v' --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Getting true update direction 'v'...", console=True) + + + optimizer_states_backup = [copy.deepcopy(opt.state_dict()) for opt in optimizers] + params_before_step = [p.clone().detach() for p in model.parameters()] + + grad_calc_loader = distributed_data_generator(args.train_files, world_size * args.train_seq_len, rank, world_size) + try: + inputs, targets = next(grad_calc_loader) + model_compiled.train() + with autocast(device_type='cuda', dtype=torch.bfloat16): + loss_for_grad = model_compiled(inputs, targets, get_window_size_blocks(step)) + loss_for_grad.backward() + + # Store gradients for correlation analysis + layer_gradients = {} + + for param in model.parameters(): + if param.grad is not None: + dist.all_reduce(param.grad, op=dist.ReduceOp.AVG) + finally: + del grad_calc_loader + + for opt in optimizers: + opt.step() + model_compiled.zero_grad(set_to_none=True) + + update_direction_v = [p_before - p.detach() for p_before, p in zip(params_before_step, model.parameters())] + + + for p_model, p_before in zip(model.parameters(), params_before_step): + p_model.data.copy_(p_before.data) + + + for opt, state_backup in zip(optimizers, optimizer_states_backup): + opt.load_state_dict(state_backup) + + + del optimizer_states_backup + del params_before_step + + # --- 2. Calculate update norms (Frobenius, Max-of-Max, Spectral) --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating update norms...", console=True) + + # Calculate total update norm (Frobenius) + total_update_norm_sq = sum(torch.sum(v * v) for v in update_direction_v) + dist.all_reduce(total_update_norm_sq, op=dist.ReduceOp.SUM) + analysis_results["total_update_fnorm"] = torch.sqrt(total_update_norm_sq).item() + + # Calculate TOTAL update Max-of-Max and Spectral norms by concatenating all updates + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating total update Max-of-Max and Spectral norms...", console=True) + try: + # Concatenate all update vectors into one long vector + all_updates_flat = torch.cat([v.flatten() for v in update_direction_v if v.numel() > 0]) + + if all_updates_flat.numel() > 0: + # Calculate total ℓ1→ℓ∞ norm (L1 norm for concatenated vector) + total_l1_linf_norm = torch.sum(torch.abs(all_updates_flat)) + analysis_results["total_l1_linf_norm"] = total_l1_linf_norm.item() + + # Calculate total spectral norm (L2 norm for concatenated vector) + total_spectral_norm = torch.norm(all_updates_flat, p=2) + analysis_results["total_spectral_norm"] = total_spectral_norm.item() + else: + analysis_results["total_l1_linf_norm"] = 0.0 + analysis_results["total_spectral_norm"] = 0.0 + + del all_updates_flat + except Exception as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Error calculating total norms: {e}", console=True) + analysis_results["total_l1_linf_norm"] = 0.0 + analysis_results["total_spectral_norm"] = 0.0 + + # --- 3. Setup layer parameter groups --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Setting up layer parameter groups...", console=True) + + # Only layer groups (1 to 12) + all_param_groups = {} + + for i in range(len(model.blocks)): + block = model.blocks[i] + layer_name = f"layer_{i+1}" + + # All parameters in this layer + all_param_groups[layer_name] = list(block.parameters()) + + # --- 3. Calculate layer-wise and component-wise update norms --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating layer-wise update norms...", console=True) + + # Create parameter to index mapping + param_to_idx = {p: i for i, p in enumerate(model.parameters())} + + # Calculate update norms for each parameter group + for group_name, param_group in all_param_groups.items(): + if not param_group: + continue + + # Get indices for this group + indices = [param_to_idx[p] for p in param_group if p in param_to_idx] + if not indices: + continue + + # Calculate Frobenius norm for this group + group_update_norm_sq = sum(torch.sum(update_direction_v[i] * update_direction_v[i]) for i in indices) + dist.all_reduce(group_update_norm_sq, op=dist.ReduceOp.SUM) + analysis_results[f"{group_name}_update_fnorm"] = torch.sqrt(group_update_norm_sq).item() + + # Calculate Max-of-Max and Spectral norms for this group + group_l1_linf_norms = [] + group_spectral_norms = [] + + for i in indices: + if i < len(update_direction_v) and update_direction_v[i].numel() > 0: + try: + # Calculate ℓ1→ℓ∞ norm for this parameter + l1_linf_norm = calculate_l1_to_linf_norm(update_direction_v[i]) + group_l1_linf_norms.append(l1_linf_norm.item()) + + # Calculate spectral norm for this parameter + spectral_norm = calculate_spectral_norm(update_direction_v[i]) + group_spectral_norms.append(spectral_norm.item()) + except Exception as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Error calculating norms for group {group_name}, param {i}: {e}", console=True) + group_l1_linf_norms.append(0.0) + group_spectral_norms.append(0.0) + + # Store max norms for this group (as per mathematical definition) + if group_l1_linf_norms: + analysis_results[f"{group_name}_max_l1_linf_norm"] = max(group_l1_linf_norms) + else: + analysis_results[f"{group_name}_max_l1_linf_norm"] = 0.0 + + if group_spectral_norms: + analysis_results[f"{group_name}_max_spectral_norm"] = max(group_spectral_norms) + else: + analysis_results[f"{group_name}_max_spectral_norm"] = 0.0 + + # --- 4. Setup for HVP calculation --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Setting up HVP calculation in float32...", console=True) + model.float() # Switch to float32 for precision + update_direction_v_fp32 = [v.float() for v in update_direction_v] + + hvp_loader = distributed_data_generator(args.val_files, world_size * 1024, rank, world_size) + try: + inputs, targets = next(hvp_loader) + + # Calculate loss and first-order gradients once, with graph for second-order grads + loss_hvp = model(inputs, targets, get_window_size_blocks(step)) + grads_hvp = torch.autograd.grad(loss_hvp, model.parameters(), create_graph=True, allow_unused=True) + + # --- 5. Calculate TOTAL sharpness --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating TOTAL sharpness...", console=True) + v_dot_g_total = sum(torch.sum(g * v) for g, v in zip(grads_hvp, update_direction_v_fp32)) + hvp_total_result = torch.autograd.grad(v_dot_g_total, model.parameters(), retain_graph=True, allow_unused=True) + + vhp_dot_v_total = sum(torch.sum(hvp * v) for hvp, v in zip(hvp_total_result, update_direction_v_fp32)) + v_norm_sq_total = sum(torch.sum(v * v) for v in update_direction_v_fp32) + + dist.all_reduce(vhp_dot_v_total, op=dist.ReduceOp.AVG) + dist.all_reduce(v_norm_sq_total, op=dist.ReduceOp.SUM) + + if v_norm_sq_total.item() > 1e-12: + analysis_results["total_sharpness"] = (vhp_dot_v_total / v_norm_sq_total).item() + else: + analysis_results["total_sharpness"] = 0.0 + del hvp_total_result + + # --- 6. Calculate layer-wise sharpness --- + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Calculating layer-wise sharpness...", console=True) + param_to_idx = {p: i for i, p in enumerate(model.parameters())} + + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Processing {len(all_param_groups)} layers for sharpness...", console=True) + + for group_name, param_group in all_param_groups.items(): + if not param_group: + continue + + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Processing '{group_name}'...", console=True) + indices = {param_to_idx[p] for p in param_group if p in param_to_idx} + if not indices: + continue + + try: + v_dot_g_group = sum(torch.sum(grads_hvp[i] * update_direction_v_fp32[i]) for i in indices) + hvp_group_result = torch.autograd.grad(v_dot_g_group, model.parameters(), retain_graph=True, allow_unused=True) + + vhp_dot_v_group = sum(torch.sum(hvp_group_result[i] * update_direction_v_fp32[i]) for i in indices) + v_norm_sq_group = sum(torch.sum(update_direction_v_fp32[i] * update_direction_v_fp32[i]) for i in indices) + + dist.all_reduce(vhp_dot_v_group, op=dist.ReduceOp.AVG) + dist.all_reduce(v_norm_sq_group, op=dist.ReduceOp.SUM) + + if v_norm_sq_group.item() > 1e-12: + analysis_results[f"{group_name}_sharpness"] = (vhp_dot_v_group / v_norm_sq_group).item() + else: + analysis_results[f"{group_name}_sharpness"] = 0.0 + + # Clean up immediately to save memory + del hvp_group_result + torch.cuda.empty_cache() + + except torch.OutOfMemoryError as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] OOM error for '{group_name}': {e}", console=True) + analysis_results[f"{group_name}_sharpness"] = 0.0 + torch.cuda.empty_cache() + except Exception as e: + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Error processing '{group_name}': {e}", console=True) + analysis_results[f"{group_name}_sharpness"] = 0.0 + + + finally: + del hvp_loader + + # --- 7. Cleanup --- + model.bfloat16() + model.train() # ⚠️ 确保模型回到训练模式（修复NaN问题） + del update_direction_v, update_direction_v_fp32, grads_hvp + # params_before_step 和 optimizer_states_backup 已在第592-593行释放 + gc.collect() + torch.cuda.empty_cache() + + # for opt in optimizers: + # opt.state.clear() + + print0(f"PRINT: [Enhanced Sharpness @ Step {step}] Analysis complete. Generated {len(analysis_results)} metrics.", console=True) + return analysis_results + +def format_comprehensive_results(results): + """ + Format the comprehensive analysis results for logging. + """ + log_parts = [] + + # Total sharpness + if 'total_sharpness' in results: + log_parts.append(f"total_sharp:{results['total_sharpness']:.4e}") + + # Layer-wise sharpness + layer_sharpness = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_sharpness" + if layer_key in results: + layer_sharpness.append(f"L{i}_sharp:{results[layer_key]:.4e}") + + if layer_sharpness: + log_parts.append(" ".join(layer_sharpness)) + + # Total update norms (Frobenius, Max-of-Max, Spectral) + total_norms = [] + if 'total_update_fnorm' in results: + total_norms.append(f"total_fnorm:{results['total_update_fnorm']:.4e}") + if 'total_l1_linf_norm' in results: + total_norms.append(f"total_l1_linf:{results['total_l1_linf_norm']:.4e}") + if 'total_spectral_norm' in results: + total_norms.append(f"total_spectral:{results['total_spectral_norm']:.4e}") + + if total_norms: + log_parts.append(" ".join(total_norms)) + + # Layer-wise update norms (Frobenius) + layer_fnorms = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_update_fnorm" + if layer_key in results: + layer_fnorms.append(f"L{i}_fnorm:{results[layer_key]:.4e}") + + if layer_fnorms: + log_parts.append(" ".join(layer_fnorms)) + + # Layer-wise update norms (Max-of-Max) + layer_l1_linf = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_max_l1_linf_norm" + if layer_key in results: + layer_l1_linf.append(f"L{i}_l1linf:{results[layer_key]:.4e}") + + if layer_l1_linf: + log_parts.append(" ".join(layer_l1_linf)) + + # Layer-wise update norms (Spectral) + layer_spectral = [] + for i in range(1, 13): # Layers 1-12 + layer_key = f"layer_{i}_max_spectral_norm" + if layer_key in results: + layer_spectral.append(f"L{i}_spectral:{results[layer_key]:.4e}") + + if layer_spectral: + log_parts.append(" ".join(layer_spectral)) + + return " ".join(log_parts) + + + + + +print0("PRINT: Compiling model with TorchInductor...", console=True) +# Use 'model' for compilation, not 'model_compiled' before it's defined +model_compiled: nn.Module = torch.compile(model, dynamic=False, mode="max-autotune") +print0("PRINT: Model compilation complete.", console=True) + +# Set model for Hessian analyzer after compilation +# IMPORTANT: All ranks must initialize to avoid NCCL timeout (model forward needs all ranks) +if exp_args.analyze_hessian_spectrum: + # NOTE: model_forward_fn will be updated dynamically before each Hessian analysis + # to use the correct window_size_blocks for the current training step + hessian_analyzer = HessianSpectrumFullBatch( + model=model, # Use original model, not compiled + device=device, + m=exp_args.hessian_lanczos_m, + num_v=exp_args.hessian_num_v, + sigma=exp_args.hessian_sigma, + model_forward_fn=None # Will be set dynamically before each analysis + ) + +######################################## +# Warmup kernels # +######################################## +print0("PRINT: Starting warmup...", console=True) +warmup_steps = 10 +initial_state = dict(model=copy.deepcopy(model_compiled.state_dict()), # Use model_compiled + optimizers=[copy.deepcopy(opt.state_dict()) for opt in optimizers]) +for i in range(warmup_steps): + # print0(f"Warmup step {i+1}/{warmup_steps}", console=False) # Less verbose + inputs = targets = torch.randint(0, args.vocab_size, size=(args.train_seq_len,), device="cuda") + loss = model_compiled(inputs.to(torch.int32), targets, get_window_size_blocks(0)) # Use model_compiled + loss.backward() + for param in model_compiled.parameters(): # Use model_compiled + if param.grad is not None: + dist.all_reduce(param.grad, op=dist.ReduceOp.AVG) + for opt in optimizers: + opt.step() + model_compiled.zero_grad(set_to_none=True) # Use model_compiled +model_compiled.load_state_dict(initial_state["model"]) # Use model_compiled +for opt, opt_state in zip(optimizers, initial_state["optimizers"]): + opt.load_state_dict(opt_state) +del initial_state +print0("PRINT: Warmup complete.", console=True) +torch.cuda.synchronize() + + +######################################## +# Training and validation # +######################################## +print0("PRINT: Starting training...", console=True) +train_loader = distributed_data_generator(args.train_files, world_size * args.train_seq_len, rank, world_size) +training_time_ms = 0 +torch.cuda.synchronize() +t0 = time.perf_counter() +train_steps = args.num_iterations + +for step in range(train_steps + 1): # Loop up to num_iterations (inclusive for final validation) + last_step = (step == train_steps) + + # --------------- VALIDATION SECTION ----------------- + # Validate at step 0 (after warmup), at specified intervals, and at the very last step + # Allow step 0 for initial analysis + if last_step or (args.val_loss_every > 0 and step % args.val_loss_every == 0): + torch.cuda.synchronize() + current_run_time = 1000 * (time.perf_counter() - t0) + training_time_ms += current_run_time + + # --- 1. Compute baseline validation loss --- + print0(f"PRINT: [Validation @ Step {step}] Calculating base validation loss...", console=True) + val_loss_item = calculate_validation_loss( + model_compiled, + args.val_files, + world_size * args.val_seq_len, + args.val_tokens, + step, + get_window_size_blocks(step) + ) + + # --- 2. Comprehensive Sharpness Analysis (all layers, cross-interactions, correlations) --- + sharpness_log_str = "" + # Only run sharpness if explicitly enabled via --analyze_sharpness flag + if exp_args.analyze_sharpness: + if exp_args.model_parameterization in ["qkvo", "gated"]: + comprehensive_results = calculate_comprehensive_sharpness( + model, model_compiled, optimizers, step, args, rank, world_size, + print0, get_window_size_blocks, distributed_data_generator + ) + sharpness_log_str = format_comprehensive_results(comprehensive_results) + else: + print0(f"PRINT: [Sharpness @ Step {step}] Skipping sharpness calculation for model_parameterization='{exp_args.model_parameterization}'.", console=True) + + # --- 3. Hessian Spectrum Analysis (if enabled and at specified intervals) --- + # IMPORTANT: ALL ranks must execute to avoid NCCL timeout (model forward needs all ranks) + if (hessian_analyzer is not None and + (step % exp_args.hessian_analysis_interval == 0 or step == 0 or last_step)): + try: + print0(f"PRINT: [Rank {rank}] [Hessian @ Step {step}] Starting MULTI-BATCH analysis...", console=False) + if master_process: + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Computing {exp_args.hessian_num_v} × {exp_args.hessian_lanczos_m} = {exp_args.hessian_num_v * exp_args.hessian_lanczos_m} eigenvalue samples over {exp_args.hessian_num_batches} batches", console=True) + + + current_window_size_blocks = get_window_size_blocks(step) + + def model_forward_with_window(model_obj, inputs, targets): + """Custom forward function using current step's window_size_blocks""" + return model_obj(inputs, targets, current_window_size_blocks) + + # Update hessian_analyzer's forward function to use current window size + hessian_analyzer.model_forward_fn = model_forward_with_window + + + + hessian_data_loader = distributed_data_generator( + args.train_files, world_size * args.train_seq_len, rank, world_size + ) + + + try: + # ALL ranks run spectrum analysis with MULTIPLE BATCHES + # This is the key difference: compute_full_spectrum now takes data_loader and num_batches + spectrum_results = hessian_analyzer.compute_full_spectrum( + data_loader=hessian_data_loader, + num_batches=exp_args.hessian_num_batches # Multi-batch averaging! + ) + + # Only master saves results + if master_process: + hessian_analyzer.save_results(spectrum_results, hessian_results_dir, step) + print0(f"PRINT: [Hessian Spectrum @ Step {step}] " + f"λ_max:{spectrum_results['largest_eigenvalue']:.4e} " + f"λ_min:{spectrum_results['smallest_eigenvalue']:.4e} " + f"λ_mean:{spectrum_results['mean_eigenvalue']:.4e} " + f"λ_median:{spectrum_results['median_eigenvalue']:.4e} " + f"pos/neg:{spectrum_results['num_positive']}/{spectrum_results['num_negative']} " + f"time:{spectrum_results['computation_time']:.1f}s", console=True) + + # Print top eigenvalues to check for outliers + if 'top_10_eigenvalues' in spectrum_results: + top_5 = spectrum_results['top_10_eigenvalues'][:5] + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Top-5 eigenvalues (outliers): {top_5}", console=True) + + finally: + # Clean up + del hessian_data_loader + model.train() # Return to training mode + torch.cuda.empty_cache() + gc.collect() + + except Exception as e: + print0(f"PRINT: [Rank {rank}] [Hessian @ Step {step}] Error: {e}", console=False) + if master_process: + import traceback + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Traceback: {traceback.format_exc()}", console=False) + model.train() # Ensure we return to training mode even on error + + # Synchronize all ranks after Hessian analysis + dist.barrier() + if master_process: + print0(f"PRINT: [Hessian Spectrum @ Step {step}] Multi-batch analysis complete, resuming training...", console=True) + + # --- 4. Logging --- + avg_step_time = training_time_ms / max(step, 1) + print0(f"PRINT: step:{step}/{train_steps} val_loss:{val_loss_item:.4f} {sharpness_log_str} train_time:{training_time_ms:.0f}ms step_avg:{avg_step_time:.2f}ms", console=True) + + # --- 5. Reset timer for the next training segment --- + torch.cuda.synchronize() + t0 = time.perf_counter() + + + if last_step: + if master_process and args.save_checkpoint: + if run_dir_path_str: # Ensure run_dir_path_str is set by master process + checkpoint_parent_dir = Path(run_dir_path_str) / "checkpoints" + checkpoint_parent_dir.mkdir(parents=True, exist_ok=True) # Create checkpoints subdir + checkpoint_path = checkpoint_parent_dir / f"state_step{step:06d}.pt" + log_checkpoint = dict(step=step, code=code, model=model_compiled.state_dict(), # Use model_compiled + optimizers=[opt.state_dict() for opt in optimizers]) + torch.save(log_checkpoint, str(checkpoint_path)) # Convert Path to str for torch.save + print0(f"PRINT: Saved checkpoint to {checkpoint_path}", console=True) + else: + print0("PRINT: Warning - run_dir_path_str not set, cannot save checkpoint.", console=True) + break + + + + # --------------- TRAINING SECTION ----------------- + try: + inputs, targets = next(train_loader) + except StopIteration: + print0(f"PRINT: Training data loader for '{args.train_files}' exhausted. Ending training early at step {step}.", console=True) + break # End if data runs out + + loss_train = model_compiled(inputs, targets, get_window_size_blocks(step)) # Use model_compiled + loss_train.backward() + + for param in model_compiled.parameters(): # Use model_compiled + if param.grad is not None: # Check if grad exists + dist.all_reduce(param.grad, op=dist.ReduceOp.AVG) + + current_lr_val = get_lr(step) + for opt in optimizers: + for group in opt.param_groups: + group["lr"] = group["initial_lr"] * current_lr_val + + # --- MODIFICATION: Muon momentum warmup only if optimizer2 (Muon) exists --- + if optimizer2 is not None: # Check if Muon optimizer was created + for group in optimizer2.param_groups: + frac = min(step / 300, 1) # momentum warmup for muon + group["momentum"] = (1 - frac) * 0.85 + frac * 0.95 + + for opt in optimizers: + opt.step() + + model_compiled.zero_grad(set_to_none=True) # Use model_compiled + + # Logging (less frequent for training steps) + if step > 0 and (step % 20 == 0 or step == train_steps -1) : # Avoid logging at step 0 before first val + # This time is for the current segment since last validation / t0 reset + current_segment_time_ms = 1000 * (time.perf_counter() - t0) + # approx_training_time_ms is the total cumulative time + approx_total_training_time_ms = training_time_ms + current_segment_time_ms + + total_tokens_in_batch = args.train_seq_len * world_size + train_loss_per_token = loss_train.item() / total_tokens_in_batch if total_tokens_in_batch > 0 else loss_train.item() + + print0(f"step:{step+1}/{train_steps} train_time:{approx_total_training_time_ms:.0f}ms step_avg:{approx_total_training_time_ms/max(1, step + 1):.2f}ms", console=True) # Log to console too + + + + +print0(f"PRINT: --- Training Finished: {time.ctime()} ---", console=True) +print0(f"PRINT: Peak memory allocated: {torch.cuda.max_memory_allocated() // 1024 // 1024} MiB " + f"reserved: {torch.cuda.max_memory_reserved() // 1024 // 1024} MiB", console=True) + +if dist.is_initialized(): + dist.destroy_process_group() +[2026-01-08 06:15:09] [Rank 0] PRINT: Constructing model... +[2026-01-08 06:15:09] [Rank 0] PRINT: Constructing model... +[2026-01-08 06:15:11] [Rank 0] PRINT: Broadcasting model parameters... +[2026-01-08 06:15:11] [Rank 0] PRINT: Broadcasting model parameters... +[2026-01-08 06:15:11] [Rank 0] PRINT: Model constructed and broadcasted. +[2026-01-08 06:15:11] [Rank 0] PRINT: Model constructed and broadcasted. +[2026-01-08 06:15:11] [Rank 0] PRINT: Collecting parameters for optimizers... +[2026-01-08 06:15:11] [Rank 0] PRINT: Collecting parameters for optimizers... +[2026-01-08 06:15:11] [Rank 0] PRINT: Configuring optimizers for EXPERIMENT_MODE = 0 +[2026-01-08 06:15:11] [Rank 0] PRINT: Configuring optimizers for EXPERIMENT_MODE = 0 +[2026-01-08 06:15:11] [Rank 0] PRINT: Mode 0: Muon on ALL Attention (QKVO) and ALL MLP matrices. +[2026-01-08 06:15:11] [Rank 0] PRINT: Mode 0: Muon on ALL Attention (QKVO) and ALL MLP matrices. +[2026-01-08 06:15:11] [Rank 0] PRINT: Optimizers configured. Total optimizers: 2 +[2026-01-08 06:15:11] [Rank 0] PRINT: Optimizers configured. Total optimizers: 2 +[2026-01-08 06:15:11] [Rank 0] PRINT: Muon optimizer is active with 72 parameters. +[2026-01-08 06:15:11] [Rank 0] PRINT: Muon optimizer is active with 72 parameters. +[2026-01-08 06:15:11] [Rank 0] PRINT: Compiling model with TorchInductor... +[2026-01-08 06:15:11] [Rank 0] PRINT: Compiling model with TorchInductor... +[2026-01-08 06:15:11] [Rank 0] PRINT: Model compilation complete. +[2026-01-08 06:15:11] [Rank 0] PRINT: Model compilation complete. +[2026-01-08 06:15:11] [Rank 0] PRINT: Starting warmup... +[2026-01-08 06:15:11] [Rank 0] PRINT: Starting warmup... +[2026-01-08 06:15:58] [Rank 0] PRINT: Warmup complete. +[2026-01-08 06:15:58] [Rank 0] PRINT: Warmup complete. +[2026-01-08 06:15:58] [Rank 0] PRINT: Starting training... +[2026-01-08 06:15:58] [Rank 0] PRINT: Starting training... +[2026-01-08 06:15:58] [Rank 0] PRINT: [Validation @ Step 0] Calculating base validation loss... +[2026-01-08 06:15:58] [Rank 0] PRINT: [Validation @ Step 0] Calculating base validation loss... +[2026-01-08 06:16:02] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 0] Starting MULTI-BATCH analysis... +[2026-01-08 06:16:02] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 0] Starting MULTI-BATCH analysis... +[2026-01-08 06:16:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 06:16:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 06:39:56] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] λ_max:3.9459e-01 λ_min:-3.9459e-01 λ_mean:-1.5040e-04 λ_median:-5.1770e-05 pos/neg:50/50 time:1429.0s +[2026-01-08 06:39:56] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] λ_max:3.9459e-01 λ_min:-3.9459e-01 λ_mean:-1.5040e-04 λ_median:-5.1770e-05 pos/neg:50/50 time:1429.0s +[2026-01-08 06:39:56] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] Top-5 eigenvalues (outliers): [0.3945918921064075, 0.3945819061136809, 0.3945657514410126, 0.3945525649425865, 0.39454271931273993] +[2026-01-08 06:39:56] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] Top-5 eigenvalues (outliers): [0.3945918921064075, 0.3945819061136809, 0.3945657514410126, 0.3945525649425865, 0.39454271931273993] +[2026-01-08 06:40:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] Multi-batch analysis complete, resuming training... +[2026-01-08 06:40:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 0] Multi-batch analysis complete, resuming training... +[2026-01-08 06:40:02] [Rank 0] PRINT: step:0/10000 val_loss:10.8258 train_time:0ms step_avg:0.02ms +[2026-01-08 06:40:02] [Rank 0] PRINT: step:0/10000 val_loss:10.8258 train_time:0ms step_avg:0.02ms +[2026-01-08 06:40:04] [Rank 0] step:21/10000 train_time:1927ms step_avg:91.76ms +[2026-01-08 06:40:04] [Rank 0] step:21/10000 train_time:1927ms step_avg:91.76ms +[2026-01-08 06:40:06] [Rank 0] step:41/10000 train_time:3529ms step_avg:86.08ms +[2026-01-08 06:40:06] [Rank 0] step:41/10000 train_time:3529ms step_avg:86.08ms +[2026-01-08 06:40:07] [Rank 0] step:61/10000 train_time:5130ms step_avg:84.09ms +[2026-01-08 06:40:07] [Rank 0] step:61/10000 train_time:5130ms step_avg:84.09ms +[2026-01-08 06:40:09] [Rank 0] step:81/10000 train_time:6732ms step_avg:83.12ms +[2026-01-08 06:40:09] [Rank 0] step:81/10000 train_time:6732ms step_avg:83.12ms +[2026-01-08 06:40:11] [Rank 0] step:101/10000 train_time:8334ms step_avg:82.52ms +[2026-01-08 06:40:11] [Rank 0] step:101/10000 train_time:8334ms step_avg:82.52ms +[2026-01-08 06:40:12] [Rank 0] step:121/10000 train_time:9936ms step_avg:82.11ms +[2026-01-08 06:40:12] [Rank 0] step:121/10000 train_time:9936ms step_avg:82.11ms +[2026-01-08 06:40:14] [Rank 0] step:141/10000 train_time:11536ms step_avg:81.82ms +[2026-01-08 06:40:14] [Rank 0] step:141/10000 train_time:11536ms step_avg:81.82ms +[2026-01-08 06:40:15] [Rank 0] step:161/10000 train_time:13138ms step_avg:81.60ms +[2026-01-08 06:40:15] [Rank 0] step:161/10000 train_time:13138ms step_avg:81.60ms +[2026-01-08 06:40:17] [Rank 0] step:181/10000 train_time:14739ms step_avg:81.43ms +[2026-01-08 06:40:17] [Rank 0] step:181/10000 train_time:14739ms step_avg:81.43ms +[2026-01-08 06:40:19] [Rank 0] step:201/10000 train_time:16341ms step_avg:81.30ms +[2026-01-08 06:40:19] [Rank 0] step:201/10000 train_time:16341ms step_avg:81.30ms +[2026-01-08 06:40:20] [Rank 0] step:221/10000 train_time:17944ms step_avg:81.20ms +[2026-01-08 06:40:20] [Rank 0] step:221/10000 train_time:17944ms step_avg:81.20ms +[2026-01-08 06:40:22] [Rank 0] step:241/10000 train_time:19547ms step_avg:81.11ms +[2026-01-08 06:40:22] [Rank 0] step:241/10000 train_time:19547ms step_avg:81.11ms +[2026-01-08 06:40:23] [Rank 0] step:261/10000 train_time:21149ms step_avg:81.03ms +[2026-01-08 06:40:23] [Rank 0] step:261/10000 train_time:21149ms step_avg:81.03ms +[2026-01-08 06:40:25] [Rank 0] step:281/10000 train_time:22753ms step_avg:80.97ms +[2026-01-08 06:40:25] [Rank 0] step:281/10000 train_time:22753ms step_avg:80.97ms +[2026-01-08 06:40:27] [Rank 0] step:301/10000 train_time:24355ms step_avg:80.91ms +[2026-01-08 06:40:27] [Rank 0] step:301/10000 train_time:24355ms step_avg:80.91ms +[2026-01-08 06:40:28] [Rank 0] step:321/10000 train_time:25959ms step_avg:80.87ms +[2026-01-08 06:40:28] [Rank 0] step:321/10000 train_time:25959ms step_avg:80.87ms +[2026-01-08 06:40:30] [Rank 0] step:341/10000 train_time:27560ms step_avg:80.82ms +[2026-01-08 06:40:30] [Rank 0] step:341/10000 train_time:27560ms step_avg:80.82ms +[2026-01-08 06:40:31] [Rank 0] step:361/10000 train_time:29164ms step_avg:80.79ms +[2026-01-08 06:40:31] [Rank 0] step:361/10000 train_time:29164ms step_avg:80.79ms +[2026-01-08 06:40:33] [Rank 0] step:381/10000 train_time:30767ms step_avg:80.75ms +[2026-01-08 06:40:33] [Rank 0] step:381/10000 train_time:30767ms step_avg:80.75ms +[2026-01-08 06:40:35] [Rank 0] step:401/10000 train_time:32370ms step_avg:80.72ms +[2026-01-08 06:40:35] [Rank 0] step:401/10000 train_time:32370ms step_avg:80.72ms +[2026-01-08 06:40:36] [Rank 0] step:421/10000 train_time:33973ms step_avg:80.70ms +[2026-01-08 06:40:36] [Rank 0] step:421/10000 train_time:33973ms step_avg:80.70ms +[2026-01-08 06:40:38] [Rank 0] step:441/10000 train_time:35575ms step_avg:80.67ms +[2026-01-08 06:40:38] [Rank 0] step:441/10000 train_time:35575ms step_avg:80.67ms +[2026-01-08 06:40:39] [Rank 0] step:461/10000 train_time:37177ms step_avg:80.64ms +[2026-01-08 06:40:39] [Rank 0] step:461/10000 train_time:37177ms step_avg:80.64ms +[2026-01-08 06:40:41] [Rank 0] step:481/10000 train_time:38783ms step_avg:80.63ms +[2026-01-08 06:40:41] [Rank 0] step:481/10000 train_time:38783ms step_avg:80.63ms +[2026-01-08 06:40:43] [Rank 0] PRINT: [Validation @ Step 500] Calculating base validation loss... +[2026-01-08 06:40:43] [Rank 0] PRINT: [Validation @ Step 500] Calculating base validation loss... +[2026-01-08 06:40:44] [Rank 0] PRINT: step:500/10000 val_loss:5.0020 train_time:40384ms step_avg:80.77ms +[2026-01-08 06:40:44] [Rank 0] PRINT: step:500/10000 val_loss:5.0020 train_time:40384ms step_avg:80.77ms +[2026-01-08 06:40:44] [Rank 0] step:501/10000 train_time:40409ms step_avg:80.66ms +[2026-01-08 06:40:44] [Rank 0] step:501/10000 train_time:40409ms step_avg:80.66ms +[2026-01-08 06:40:45] [Rank 0] step:521/10000 train_time:41990ms step_avg:80.59ms +[2026-01-08 06:40:45] [Rank 0] step:521/10000 train_time:41990ms step_avg:80.59ms +[2026-01-08 06:40:47] [Rank 0] step:541/10000 train_time:43593ms step_avg:80.58ms +[2026-01-08 06:40:47] [Rank 0] step:541/10000 train_time:43593ms step_avg:80.58ms +[2026-01-08 06:40:48] [Rank 0] step:561/10000 train_time:45196ms step_avg:80.56ms +[2026-01-08 06:40:48] [Rank 0] step:561/10000 train_time:45196ms step_avg:80.56ms +[2026-01-08 06:40:50] [Rank 0] step:581/10000 train_time:46800ms step_avg:80.55ms +[2026-01-08 06:40:50] [Rank 0] step:581/10000 train_time:46800ms step_avg:80.55ms +[2026-01-08 06:40:52] [Rank 0] step:601/10000 train_time:48405ms step_avg:80.54ms +[2026-01-08 06:40:52] [Rank 0] step:601/10000 train_time:48405ms step_avg:80.54ms +[2026-01-08 06:40:53] [Rank 0] step:621/10000 train_time:50007ms step_avg:80.53ms +[2026-01-08 06:40:53] [Rank 0] step:621/10000 train_time:50007ms step_avg:80.53ms +[2026-01-08 06:40:55] [Rank 0] step:641/10000 train_time:51620ms step_avg:80.53ms +[2026-01-08 06:40:55] [Rank 0] step:641/10000 train_time:51620ms step_avg:80.53ms +[2026-01-08 06:40:56] [Rank 0] step:661/10000 train_time:53225ms step_avg:80.52ms +[2026-01-08 06:40:56] [Rank 0] step:661/10000 train_time:53225ms step_avg:80.52ms +[2026-01-08 06:40:58] [Rank 0] step:681/10000 train_time:54829ms step_avg:80.51ms +[2026-01-08 06:40:58] [Rank 0] step:681/10000 train_time:54829ms step_avg:80.51ms +[2026-01-08 06:41:00] [Rank 0] step:701/10000 train_time:56432ms step_avg:80.50ms +[2026-01-08 06:41:00] [Rank 0] step:701/10000 train_time:56432ms step_avg:80.50ms +[2026-01-08 06:41:01] [Rank 0] step:721/10000 train_time:58137ms step_avg:80.63ms +[2026-01-08 06:41:01] [Rank 0] step:721/10000 train_time:58137ms step_avg:80.63ms +[2026-01-08 06:41:03] [Rank 0] step:741/10000 train_time:59885ms step_avg:80.82ms +[2026-01-08 06:41:03] [Rank 0] step:741/10000 train_time:59885ms step_avg:80.82ms +[2026-01-08 06:41:05] [Rank 0] step:761/10000 train_time:61614ms step_avg:80.96ms +[2026-01-08 06:41:05] [Rank 0] step:761/10000 train_time:61614ms step_avg:80.96ms +[2026-01-08 06:41:07] [Rank 0] step:781/10000 train_time:63396ms step_avg:81.17ms +[2026-01-08 06:41:07] [Rank 0] step:781/10000 train_time:63396ms step_avg:81.17ms +[2026-01-08 06:41:08] [Rank 0] step:801/10000 train_time:65015ms step_avg:81.17ms +[2026-01-08 06:41:08] [Rank 0] step:801/10000 train_time:65015ms step_avg:81.17ms +[2026-01-08 06:41:10] [Rank 0] step:821/10000 train_time:66634ms step_avg:81.16ms +[2026-01-08 06:41:10] [Rank 0] step:821/10000 train_time:66634ms step_avg:81.16ms +[2026-01-08 06:41:11] [Rank 0] step:841/10000 train_time:68252ms step_avg:81.16ms +[2026-01-08 06:41:11] [Rank 0] step:841/10000 train_time:68252ms step_avg:81.16ms +[2026-01-08 06:41:13] [Rank 0] step:861/10000 train_time:69869ms step_avg:81.15ms +[2026-01-08 06:41:13] [Rank 0] step:861/10000 train_time:69869ms step_avg:81.15ms +[2026-01-08 06:41:15] [Rank 0] step:881/10000 train_time:71487ms step_avg:81.14ms +[2026-01-08 06:41:15] [Rank 0] step:881/10000 train_time:71487ms step_avg:81.14ms +[2026-01-08 06:41:16] [Rank 0] step:901/10000 train_time:73106ms step_avg:81.14ms +[2026-01-08 06:41:16] [Rank 0] step:901/10000 train_time:73106ms step_avg:81.14ms +[2026-01-08 06:41:18] [Rank 0] step:921/10000 train_time:74724ms step_avg:81.13ms +[2026-01-08 06:41:18] [Rank 0] step:921/10000 train_time:74724ms step_avg:81.13ms +[2026-01-08 06:41:20] [Rank 0] step:941/10000 train_time:76345ms step_avg:81.13ms +[2026-01-08 06:41:20] [Rank 0] step:941/10000 train_time:76345ms step_avg:81.13ms +[2026-01-08 06:41:21] [Rank 0] step:961/10000 train_time:77964ms step_avg:81.13ms +[2026-01-08 06:41:21] [Rank 0] step:961/10000 train_time:77964ms step_avg:81.13ms +[2026-01-08 06:41:23] [Rank 0] step:981/10000 train_time:79583ms step_avg:81.12ms +[2026-01-08 06:41:23] [Rank 0] step:981/10000 train_time:79583ms step_avg:81.12ms +[2026-01-08 06:41:24] [Rank 0] PRINT: [Validation @ Step 1000] Calculating base validation loss... +[2026-01-08 06:41:24] [Rank 0] PRINT: [Validation @ Step 1000] Calculating base validation loss... +[2026-01-08 06:41:25] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 1000] Starting MULTI-BATCH analysis... +[2026-01-08 06:41:25] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 1000] Starting MULTI-BATCH analysis... +[2026-01-08 06:41:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 06:41:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 07:10:01] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] λ_max:1.5214e+02 λ_min:-4.8101e+01 λ_mean:4.4910e+01 λ_median:3.7383e+01 pos/neg:77/23 time:1708.7s +[2026-01-08 07:10:01] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] λ_max:1.5214e+02 λ_min:-4.8101e+01 λ_mean:4.4910e+01 λ_median:3.7383e+01 pos/neg:77/23 time:1708.7s +[2026-01-08 07:10:01] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] Top-5 eigenvalues (outliers): [152.13866550873405, 147.58964895857952, 143.72575305972802, 142.209328535535, 131.94648888733687] +[2026-01-08 07:10:01] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] Top-5 eigenvalues (outliers): [152.13866550873405, 147.58964895857952, 143.72575305972802, 142.209328535535, 131.94648888733687] +[2026-01-08 07:10:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] Multi-batch analysis complete, resuming training... +[2026-01-08 07:10:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 1000] Multi-batch analysis complete, resuming training... +[2026-01-08 07:10:02] [Rank 0] PRINT: step:1000/10000 val_loss:4.4421 train_time:81200ms step_avg:81.20ms +[2026-01-08 07:10:02] [Rank 0] PRINT: step:1000/10000 val_loss:4.4421 train_time:81200ms step_avg:81.20ms +[2026-01-08 07:10:02] [Rank 0] step:1001/10000 train_time:81225ms step_avg:81.14ms +[2026-01-08 07:10:02] [Rank 0] step:1001/10000 train_time:81225ms step_avg:81.14ms +[2026-01-08 07:10:04] [Rank 0] step:1021/10000 train_time:82819ms step_avg:81.12ms +[2026-01-08 07:10:04] [Rank 0] step:1021/10000 train_time:82819ms step_avg:81.12ms +[2026-01-08 07:10:05] [Rank 0] step:1041/10000 train_time:84431ms step_avg:81.11ms +[2026-01-08 07:10:05] [Rank 0] step:1041/10000 train_time:84431ms step_avg:81.11ms +[2026-01-08 07:10:07] [Rank 0] step:1061/10000 train_time:86044ms step_avg:81.10ms +[2026-01-08 07:10:07] [Rank 0] step:1061/10000 train_time:86044ms step_avg:81.10ms +[2026-01-08 07:10:09] [Rank 0] step:1081/10000 train_time:87658ms step_avg:81.09ms +[2026-01-08 07:10:09] [Rank 0] step:1081/10000 train_time:87658ms step_avg:81.09ms +[2026-01-08 07:10:10] [Rank 0] step:1101/10000 train_time:89266ms step_avg:81.08ms +[2026-01-08 07:10:10] [Rank 0] step:1101/10000 train_time:89266ms step_avg:81.08ms +[2026-01-08 07:10:12] [Rank 0] step:1121/10000 train_time:90883ms step_avg:81.07ms +[2026-01-08 07:10:12] [Rank 0] step:1121/10000 train_time:90883ms step_avg:81.07ms +[2026-01-08 07:10:13] [Rank 0] step:1141/10000 train_time:92501ms step_avg:81.07ms +[2026-01-08 07:10:13] [Rank 0] step:1141/10000 train_time:92501ms step_avg:81.07ms +[2026-01-08 07:10:15] [Rank 0] step:1161/10000 train_time:94120ms step_avg:81.07ms +[2026-01-08 07:10:15] [Rank 0] step:1161/10000 train_time:94120ms step_avg:81.07ms +[2026-01-08 07:10:17] [Rank 0] step:1181/10000 train_time:95740ms step_avg:81.07ms +[2026-01-08 07:10:17] [Rank 0] step:1181/10000 train_time:95740ms step_avg:81.07ms +[2026-01-08 07:10:18] [Rank 0] step:1201/10000 train_time:97357ms step_avg:81.06ms +[2026-01-08 07:10:18] [Rank 0] step:1201/10000 train_time:97357ms step_avg:81.06ms +[2026-01-08 07:10:20] [Rank 0] step:1221/10000 train_time:98973ms step_avg:81.06ms +[2026-01-08 07:10:20] [Rank 0] step:1221/10000 train_time:98973ms step_avg:81.06ms +[2026-01-08 07:10:21] [Rank 0] step:1241/10000 train_time:100592ms step_avg:81.06ms +[2026-01-08 07:10:21] [Rank 0] step:1241/10000 train_time:100592ms step_avg:81.06ms +[2026-01-08 07:10:23] [Rank 0] step:1261/10000 train_time:102212ms step_avg:81.06ms +[2026-01-08 07:10:23] [Rank 0] step:1261/10000 train_time:102212ms step_avg:81.06ms +[2026-01-08 07:10:25] [Rank 0] step:1281/10000 train_time:103829ms step_avg:81.05ms +[2026-01-08 07:10:25] [Rank 0] step:1281/10000 train_time:103829ms step_avg:81.05ms +[2026-01-08 07:10:26] [Rank 0] step:1301/10000 train_time:105448ms step_avg:81.05ms +[2026-01-08 07:10:26] [Rank 0] step:1301/10000 train_time:105448ms step_avg:81.05ms +[2026-01-08 07:10:28] [Rank 0] step:1321/10000 train_time:107068ms step_avg:81.05ms +[2026-01-08 07:10:28] [Rank 0] step:1321/10000 train_time:107068ms step_avg:81.05ms +[2026-01-08 07:10:30] [Rank 0] step:1341/10000 train_time:108688ms step_avg:81.05ms +[2026-01-08 07:10:30] [Rank 0] step:1341/10000 train_time:108688ms step_avg:81.05ms +[2026-01-08 07:10:31] [Rank 0] step:1361/10000 train_time:110307ms step_avg:81.05ms +[2026-01-08 07:10:31] [Rank 0] step:1361/10000 train_time:110307ms step_avg:81.05ms +[2026-01-08 07:10:33] [Rank 0] step:1381/10000 train_time:111923ms step_avg:81.05ms +[2026-01-08 07:10:33] [Rank 0] step:1381/10000 train_time:111923ms step_avg:81.05ms +[2026-01-08 07:10:35] [Rank 0] step:1401/10000 train_time:113716ms step_avg:81.17ms +[2026-01-08 07:10:35] [Rank 0] step:1401/10000 train_time:113716ms step_avg:81.17ms +[2026-01-08 07:10:36] [Rank 0] step:1421/10000 train_time:115529ms step_avg:81.30ms +[2026-01-08 07:10:36] [Rank 0] step:1421/10000 train_time:115529ms step_avg:81.30ms +[2026-01-08 07:10:38] [Rank 0] step:1441/10000 train_time:117148ms step_avg:81.30ms +[2026-01-08 07:10:38] [Rank 0] step:1441/10000 train_time:117148ms step_avg:81.30ms +[2026-01-08 07:10:40] [Rank 0] step:1461/10000 train_time:118768ms step_avg:81.29ms +[2026-01-08 07:10:40] [Rank 0] step:1461/10000 train_time:118768ms step_avg:81.29ms +[2026-01-08 07:10:41] [Rank 0] step:1481/10000 train_time:120387ms step_avg:81.29ms +[2026-01-08 07:10:41] [Rank 0] step:1481/10000 train_time:120387ms step_avg:81.29ms +[2026-01-08 07:10:43] [Rank 0] PRINT: [Validation @ Step 1500] Calculating base validation loss... +[2026-01-08 07:10:43] [Rank 0] PRINT: [Validation @ Step 1500] Calculating base validation loss... +[2026-01-08 07:10:43] [Rank 0] PRINT: step:1500/10000 val_loss:4.1928 train_time:122018ms step_avg:81.35ms +[2026-01-08 07:10:43] [Rank 0] PRINT: step:1500/10000 val_loss:4.1928 train_time:122018ms step_avg:81.35ms +[2026-01-08 07:10:43] [Rank 0] step:1501/10000 train_time:122044ms step_avg:81.31ms +[2026-01-08 07:10:43] [Rank 0] step:1501/10000 train_time:122044ms step_avg:81.31ms +[2026-01-08 07:10:45] [Rank 0] step:1521/10000 train_time:123652ms step_avg:81.30ms +[2026-01-08 07:10:45] [Rank 0] step:1521/10000 train_time:123652ms step_avg:81.30ms +[2026-01-08 07:10:47] [Rank 0] step:1541/10000 train_time:125279ms step_avg:81.30ms +[2026-01-08 07:10:47] [Rank 0] step:1541/10000 train_time:125279ms step_avg:81.30ms +[2026-01-08 07:10:48] [Rank 0] step:1561/10000 train_time:126910ms step_avg:81.30ms +[2026-01-08 07:10:48] [Rank 0] step:1561/10000 train_time:126910ms step_avg:81.30ms +[2026-01-08 07:10:50] [Rank 0] step:1581/10000 train_time:128545ms step_avg:81.31ms +[2026-01-08 07:10:50] [Rank 0] step:1581/10000 train_time:128545ms step_avg:81.31ms +[2026-01-08 07:10:52] [Rank 0] step:1601/10000 train_time:130179ms step_avg:81.31ms +[2026-01-08 07:10:52] [Rank 0] step:1601/10000 train_time:130179ms step_avg:81.31ms +[2026-01-08 07:10:53] [Rank 0] step:1621/10000 train_time:131814ms step_avg:81.32ms +[2026-01-08 07:10:53] [Rank 0] step:1621/10000 train_time:131814ms step_avg:81.32ms +[2026-01-08 07:10:55] [Rank 0] step:1641/10000 train_time:133446ms step_avg:81.32ms +[2026-01-08 07:10:55] [Rank 0] step:1641/10000 train_time:133446ms step_avg:81.32ms +[2026-01-08 07:10:56] [Rank 0] step:1661/10000 train_time:135079ms step_avg:81.32ms +[2026-01-08 07:10:56] [Rank 0] step:1661/10000 train_time:135079ms step_avg:81.32ms +[2026-01-08 07:10:58] [Rank 0] step:1681/10000 train_time:136719ms step_avg:81.33ms +[2026-01-08 07:10:58] [Rank 0] step:1681/10000 train_time:136719ms step_avg:81.33ms +[2026-01-08 07:11:00] [Rank 0] step:1701/10000 train_time:138351ms step_avg:81.33ms +[2026-01-08 07:11:00] [Rank 0] step:1701/10000 train_time:138351ms step_avg:81.33ms +[2026-01-08 07:11:01] [Rank 0] step:1721/10000 train_time:139989ms step_avg:81.34ms +[2026-01-08 07:11:01] [Rank 0] step:1721/10000 train_time:139989ms step_avg:81.34ms +[2026-01-08 07:11:03] [Rank 0] step:1741/10000 train_time:141619ms step_avg:81.34ms +[2026-01-08 07:11:03] [Rank 0] step:1741/10000 train_time:141619ms step_avg:81.34ms +[2026-01-08 07:11:05] [Rank 0] step:1761/10000 train_time:143255ms step_avg:81.35ms +[2026-01-08 07:11:05] [Rank 0] step:1761/10000 train_time:143255ms step_avg:81.35ms +[2026-01-08 07:11:06] [Rank 0] step:1781/10000 train_time:144890ms step_avg:81.35ms +[2026-01-08 07:11:06] [Rank 0] step:1781/10000 train_time:144890ms step_avg:81.35ms +[2026-01-08 07:11:08] [Rank 0] step:1801/10000 train_time:146519ms step_avg:81.35ms +[2026-01-08 07:11:08] [Rank 0] step:1801/10000 train_time:146519ms step_avg:81.35ms +[2026-01-08 07:11:09] [Rank 0] step:1821/10000 train_time:148153ms step_avg:81.36ms +[2026-01-08 07:11:09] [Rank 0] step:1821/10000 train_time:148153ms step_avg:81.36ms +[2026-01-08 07:11:11] [Rank 0] step:1841/10000 train_time:149785ms step_avg:81.36ms +[2026-01-08 07:11:11] [Rank 0] step:1841/10000 train_time:149785ms step_avg:81.36ms +[2026-01-08 07:11:13] [Rank 0] step:1861/10000 train_time:151416ms step_avg:81.36ms +[2026-01-08 07:11:13] [Rank 0] step:1861/10000 train_time:151416ms step_avg:81.36ms +[2026-01-08 07:11:14] [Rank 0] step:1881/10000 train_time:153051ms step_avg:81.37ms +[2026-01-08 07:11:14] [Rank 0] step:1881/10000 train_time:153051ms step_avg:81.37ms +[2026-01-08 07:11:16] [Rank 0] step:1901/10000 train_time:154684ms step_avg:81.37ms +[2026-01-08 07:11:16] [Rank 0] step:1901/10000 train_time:154684ms step_avg:81.37ms +[2026-01-08 07:11:18] [Rank 0] step:1921/10000 train_time:156315ms step_avg:81.37ms +[2026-01-08 07:11:18] [Rank 0] step:1921/10000 train_time:156315ms step_avg:81.37ms +[2026-01-08 07:11:19] [Rank 0] step:1941/10000 train_time:157947ms step_avg:81.37ms +[2026-01-08 07:11:19] [Rank 0] step:1941/10000 train_time:157947ms step_avg:81.37ms +[2026-01-08 07:11:21] [Rank 0] step:1961/10000 train_time:159583ms step_avg:81.38ms +[2026-01-08 07:11:21] [Rank 0] step:1961/10000 train_time:159583ms step_avg:81.38ms +[2026-01-08 07:11:23] [Rank 0] step:1981/10000 train_time:161217ms step_avg:81.38ms +[2026-01-08 07:11:23] [Rank 0] step:1981/10000 train_time:161217ms step_avg:81.38ms +[2026-01-08 07:11:24] [Rank 0] PRINT: [Validation @ Step 2000] Calculating base validation loss... +[2026-01-08 07:11:24] [Rank 0] PRINT: [Validation @ Step 2000] Calculating base validation loss... +[2026-01-08 07:11:25] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 2000] Starting MULTI-BATCH analysis... +[2026-01-08 07:11:25] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 2000] Starting MULTI-BATCH analysis... +[2026-01-08 07:11:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 07:11:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 07:35:41] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] λ_max:2.5153e+02 λ_min:-1.2089e+02 λ_mean:5.5245e+01 λ_median:3.7894e+01 pos/neg:75/25 time:1453.4s +[2026-01-08 07:35:41] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] λ_max:2.5153e+02 λ_min:-1.2089e+02 λ_mean:5.5245e+01 λ_median:3.7894e+01 pos/neg:75/25 time:1453.4s +[2026-01-08 07:35:41] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] Top-5 eigenvalues (outliers): [251.5258537731274, 249.51445433924906, 240.2999235286227, 218.21644640612945, 210.68042515019454] +[2026-01-08 07:35:41] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] Top-5 eigenvalues (outliers): [251.5258537731274, 249.51445433924906, 240.2999235286227, 218.21644640612945, 210.68042515019454] +[2026-01-08 07:36:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] Multi-batch analysis complete, resuming training... +[2026-01-08 07:36:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 2000] Multi-batch analysis complete, resuming training... +[2026-01-08 07:36:25] [Rank 0] PRINT: step:2000/10000 val_loss:4.0563 train_time:162847ms step_avg:81.42ms +[2026-01-08 07:36:25] [Rank 0] PRINT: step:2000/10000 val_loss:4.0563 train_time:162847ms step_avg:81.42ms +[2026-01-08 07:36:25] [Rank 0] step:2001/10000 train_time:162942ms step_avg:81.43ms +[2026-01-08 07:36:25] [Rank 0] step:2001/10000 train_time:162942ms step_avg:81.43ms +[2026-01-08 07:36:26] [Rank 0] step:2021/10000 train_time:164512ms step_avg:81.40ms +[2026-01-08 07:36:26] [Rank 0] step:2021/10000 train_time:164512ms step_avg:81.40ms +[2026-01-08 07:36:29] [Rank 0] step:2041/10000 train_time:166829ms step_avg:81.74ms +[2026-01-08 07:36:29] [Rank 0] step:2041/10000 train_time:166829ms step_avg:81.74ms +[2026-01-08 07:36:30] [Rank 0] step:2061/10000 train_time:168462ms step_avg:81.74ms +[2026-01-08 07:36:30] [Rank 0] step:2061/10000 train_time:168462ms step_avg:81.74ms +[2026-01-08 07:36:32] [Rank 0] step:2081/10000 train_time:170089ms step_avg:81.73ms +[2026-01-08 07:36:32] [Rank 0] step:2081/10000 train_time:170089ms step_avg:81.73ms +[2026-01-08 07:36:34] [Rank 0] step:2101/10000 train_time:171721ms step_avg:81.73ms +[2026-01-08 07:36:34] [Rank 0] step:2101/10000 train_time:171721ms step_avg:81.73ms +[2026-01-08 07:36:35] [Rank 0] step:2121/10000 train_time:173349ms step_avg:81.73ms +[2026-01-08 07:36:35] [Rank 0] step:2121/10000 train_time:173349ms step_avg:81.73ms +[2026-01-08 07:36:37] [Rank 0] step:2141/10000 train_time:174982ms step_avg:81.73ms +[2026-01-08 07:36:37] [Rank 0] step:2141/10000 train_time:174982ms step_avg:81.73ms +[2026-01-08 07:36:39] [Rank 0] step:2161/10000 train_time:176616ms step_avg:81.73ms +[2026-01-08 07:36:39] [Rank 0] step:2161/10000 train_time:176616ms step_avg:81.73ms +[2026-01-08 07:36:40] [Rank 0] step:2181/10000 train_time:178245ms step_avg:81.73ms +[2026-01-08 07:36:40] [Rank 0] step:2181/10000 train_time:178245ms step_avg:81.73ms +[2026-01-08 07:36:42] [Rank 0] step:2201/10000 train_time:179882ms step_avg:81.73ms +[2026-01-08 07:36:42] [Rank 0] step:2201/10000 train_time:179882ms step_avg:81.73ms +[2026-01-08 07:36:44] [Rank 0] step:2221/10000 train_time:181515ms step_avg:81.73ms +[2026-01-08 07:36:44] [Rank 0] step:2221/10000 train_time:181515ms step_avg:81.73ms +[2026-01-08 07:36:45] [Rank 0] step:2241/10000 train_time:183187ms step_avg:81.74ms +[2026-01-08 07:36:45] [Rank 0] step:2241/10000 train_time:183187ms step_avg:81.74ms +[2026-01-08 07:36:47] [Rank 0] step:2261/10000 train_time:184869ms step_avg:81.76ms +[2026-01-08 07:36:47] [Rank 0] step:2261/10000 train_time:184869ms step_avg:81.76ms +[2026-01-08 07:36:49] [Rank 0] step:2281/10000 train_time:186550ms step_avg:81.78ms +[2026-01-08 07:36:49] [Rank 0] step:2281/10000 train_time:186550ms step_avg:81.78ms +[2026-01-08 07:36:50] [Rank 0] step:2301/10000 train_time:188230ms step_avg:81.80ms +[2026-01-08 07:36:50] [Rank 0] step:2301/10000 train_time:188230ms step_avg:81.80ms +[2026-01-08 07:36:52] [Rank 0] step:2321/10000 train_time:189910ms step_avg:81.82ms +[2026-01-08 07:36:52] [Rank 0] step:2321/10000 train_time:189910ms step_avg:81.82ms +[2026-01-08 07:36:54] [Rank 0] step:2341/10000 train_time:191591ms step_avg:81.84ms +[2026-01-08 07:36:54] [Rank 0] step:2341/10000 train_time:191591ms step_avg:81.84ms +[2026-01-08 07:36:55] [Rank 0] step:2361/10000 train_time:193272ms step_avg:81.86ms +[2026-01-08 07:36:55] [Rank 0] step:2361/10000 train_time:193272ms step_avg:81.86ms +[2026-01-08 07:36:57] [Rank 0] step:2381/10000 train_time:195054ms step_avg:81.92ms +[2026-01-08 07:36:57] [Rank 0] step:2381/10000 train_time:195054ms step_avg:81.92ms +[2026-01-08 07:36:59] [Rank 0] step:2401/10000 train_time:196872ms step_avg:82.00ms +[2026-01-08 07:36:59] [Rank 0] step:2401/10000 train_time:196872ms step_avg:82.00ms +[2026-01-08 07:37:01] [Rank 0] step:2421/10000 train_time:198554ms step_avg:82.01ms +[2026-01-08 07:37:01] [Rank 0] step:2421/10000 train_time:198554ms step_avg:82.01ms +[2026-01-08 07:37:02] [Rank 0] step:2441/10000 train_time:200237ms step_avg:82.03ms +[2026-01-08 07:37:02] [Rank 0] step:2441/10000 train_time:200237ms step_avg:82.03ms +[2026-01-08 07:37:04] [Rank 0] step:2461/10000 train_time:201918ms step_avg:82.05ms +[2026-01-08 07:37:04] [Rank 0] step:2461/10000 train_time:201918ms step_avg:82.05ms +[2026-01-08 07:37:06] [Rank 0] step:2481/10000 train_time:203598ms step_avg:82.06ms +[2026-01-08 07:37:06] [Rank 0] step:2481/10000 train_time:203598ms step_avg:82.06ms +[2026-01-08 07:37:07] [Rank 0] PRINT: [Validation @ Step 2500] Calculating base validation loss... +[2026-01-08 07:37:07] [Rank 0] PRINT: [Validation @ Step 2500] Calculating base validation loss... +[2026-01-08 07:37:08] [Rank 0] PRINT: step:2500/10000 val_loss:3.9410 train_time:205277ms step_avg:82.11ms +[2026-01-08 07:37:08] [Rank 0] PRINT: step:2500/10000 val_loss:3.9410 train_time:205277ms step_avg:82.11ms +[2026-01-08 07:37:08] [Rank 0] step:2501/10000 train_time:205303ms step_avg:82.09ms +[2026-01-08 07:37:08] [Rank 0] step:2501/10000 train_time:205303ms step_avg:82.09ms +[2026-01-08 07:37:09] [Rank 0] step:2521/10000 train_time:206962ms step_avg:82.10ms +[2026-01-08 07:37:09] [Rank 0] step:2521/10000 train_time:206962ms step_avg:82.10ms +[2026-01-08 07:37:11] [Rank 0] step:2541/10000 train_time:208644ms step_avg:82.11ms +[2026-01-08 07:37:11] [Rank 0] step:2541/10000 train_time:208644ms step_avg:82.11ms +[2026-01-08 07:37:13] [Rank 0] step:2561/10000 train_time:210326ms step_avg:82.13ms +[2026-01-08 07:37:13] [Rank 0] step:2561/10000 train_time:210326ms step_avg:82.13ms +[2026-01-08 07:37:14] [Rank 0] step:2581/10000 train_time:212010ms step_avg:82.14ms +[2026-01-08 07:37:14] [Rank 0] step:2581/10000 train_time:212010ms step_avg:82.14ms +[2026-01-08 07:37:16] [Rank 0] step:2601/10000 train_time:213689ms step_avg:82.16ms +[2026-01-08 07:37:16] [Rank 0] step:2601/10000 train_time:213689ms step_avg:82.16ms +[2026-01-08 07:37:18] [Rank 0] step:2621/10000 train_time:215371ms step_avg:82.17ms +[2026-01-08 07:37:18] [Rank 0] step:2621/10000 train_time:215371ms step_avg:82.17ms +[2026-01-08 07:37:19] [Rank 0] step:2641/10000 train_time:217051ms step_avg:82.19ms +[2026-01-08 07:37:19] [Rank 0] step:2641/10000 train_time:217051ms step_avg:82.19ms +[2026-01-08 07:37:21] [Rank 0] step:2661/10000 train_time:218734ms step_avg:82.20ms +[2026-01-08 07:37:21] [Rank 0] step:2661/10000 train_time:218734ms step_avg:82.20ms +[2026-01-08 07:37:23] [Rank 0] step:2681/10000 train_time:220415ms step_avg:82.21ms +[2026-01-08 07:37:23] [Rank 0] step:2681/10000 train_time:220415ms step_avg:82.21ms +[2026-01-08 07:37:25] [Rank 0] step:2701/10000 train_time:222097ms step_avg:82.23ms +[2026-01-08 07:37:25] [Rank 0] step:2701/10000 train_time:222097ms step_avg:82.23ms +[2026-01-08 07:37:26] [Rank 0] step:2721/10000 train_time:223780ms step_avg:82.24ms +[2026-01-08 07:37:26] [Rank 0] step:2721/10000 train_time:223780ms step_avg:82.24ms +[2026-01-08 07:37:28] [Rank 0] step:2741/10000 train_time:225461ms step_avg:82.26ms +[2026-01-08 07:37:28] [Rank 0] step:2741/10000 train_time:225461ms step_avg:82.26ms +[2026-01-08 07:37:30] [Rank 0] step:2761/10000 train_time:227143ms step_avg:82.27ms +[2026-01-08 07:37:30] [Rank 0] step:2761/10000 train_time:227143ms step_avg:82.27ms +[2026-01-08 07:37:31] [Rank 0] step:2781/10000 train_time:228827ms step_avg:82.28ms +[2026-01-08 07:37:31] [Rank 0] step:2781/10000 train_time:228827ms step_avg:82.28ms +[2026-01-08 07:37:33] [Rank 0] step:2801/10000 train_time:230511ms step_avg:82.30ms +[2026-01-08 07:37:33] [Rank 0] step:2801/10000 train_time:230511ms step_avg:82.30ms +[2026-01-08 07:37:35] [Rank 0] step:2821/10000 train_time:232193ms step_avg:82.31ms +[2026-01-08 07:37:35] [Rank 0] step:2821/10000 train_time:232193ms step_avg:82.31ms +[2026-01-08 07:37:36] [Rank 0] step:2841/10000 train_time:233875ms step_avg:82.32ms +[2026-01-08 07:37:36] [Rank 0] step:2841/10000 train_time:233875ms step_avg:82.32ms +[2026-01-08 07:37:38] [Rank 0] step:2861/10000 train_time:235558ms step_avg:82.33ms +[2026-01-08 07:37:38] [Rank 0] step:2861/10000 train_time:235558ms step_avg:82.33ms +[2026-01-08 07:37:40] [Rank 0] step:2881/10000 train_time:237237ms step_avg:82.35ms +[2026-01-08 07:37:40] [Rank 0] step:2881/10000 train_time:237237ms step_avg:82.35ms +[2026-01-08 07:37:41] [Rank 0] step:2901/10000 train_time:238917ms step_avg:82.36ms +[2026-01-08 07:37:41] [Rank 0] step:2901/10000 train_time:238917ms step_avg:82.36ms +[2026-01-08 07:37:43] [Rank 0] step:2921/10000 train_time:240605ms step_avg:82.37ms +[2026-01-08 07:37:43] [Rank 0] step:2921/10000 train_time:240605ms step_avg:82.37ms +[2026-01-08 07:37:45] [Rank 0] step:2941/10000 train_time:242287ms step_avg:82.38ms +[2026-01-08 07:37:45] [Rank 0] step:2941/10000 train_time:242287ms step_avg:82.38ms +[2026-01-08 07:37:46] [Rank 0] step:2961/10000 train_time:243969ms step_avg:82.39ms +[2026-01-08 07:37:46] [Rank 0] step:2961/10000 train_time:243969ms step_avg:82.39ms +[2026-01-08 07:37:48] [Rank 0] step:2981/10000 train_time:245660ms step_avg:82.41ms +[2026-01-08 07:37:48] [Rank 0] step:2981/10000 train_time:245660ms step_avg:82.41ms +[2026-01-08 07:37:50] [Rank 0] PRINT: [Validation @ Step 3000] Calculating base validation loss... +[2026-01-08 07:37:50] [Rank 0] PRINT: [Validation @ Step 3000] Calculating base validation loss... +[2026-01-08 07:37:50] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 3000] Starting MULTI-BATCH analysis... +[2026-01-08 07:37:50] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 3000] Starting MULTI-BATCH analysis... +[2026-01-08 07:37:50] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 07:37:50] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 08:01:39] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] λ_max:2.3368e+02 λ_min:-3.6335e+01 λ_mean:7.8841e+01 λ_median:3.7081e+01 pos/neg:84/16 time:1425.9s +[2026-01-08 08:01:39] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] λ_max:2.3368e+02 λ_min:-3.6335e+01 λ_mean:7.8841e+01 λ_median:3.7081e+01 pos/neg:84/16 time:1425.9s +[2026-01-08 08:01:39] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] Top-5 eigenvalues (outliers): [233.6826181169755, 223.14031104383082, 216.60807481452719, 206.56957145149897, 201.87047845635877] +[2026-01-08 08:01:39] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] Top-5 eigenvalues (outliers): [233.6826181169755, 223.14031104383082, 216.60807481452719, 206.56957145149897, 201.87047845635877] +[2026-01-08 08:02:14] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] Multi-batch analysis complete, resuming training... +[2026-01-08 08:02:14] [Rank 0] PRINT: [Hessian Spectrum @ Step 3000] Multi-batch analysis complete, resuming training... +[2026-01-08 08:02:14] [Rank 0] PRINT: step:3000/10000 val_loss:3.8575 train_time:247347ms step_avg:82.45ms +[2026-01-08 08:02:14] [Rank 0] PRINT: step:3000/10000 val_loss:3.8575 train_time:247347ms step_avg:82.45ms +[2026-01-08 08:02:14] [Rank 0] step:3001/10000 train_time:247413ms step_avg:82.44ms +[2026-01-08 08:02:14] [Rank 0] step:3001/10000 train_time:247413ms step_avg:82.44ms +[2026-01-08 08:02:16] [Rank 0] step:3021/10000 train_time:249229ms step_avg:82.50ms +[2026-01-08 08:02:16] [Rank 0] step:3021/10000 train_time:249229ms step_avg:82.50ms +[2026-01-08 08:02:18] [Rank 0] step:3041/10000 train_time:250914ms step_avg:82.51ms +[2026-01-08 08:02:18] [Rank 0] step:3041/10000 train_time:250914ms step_avg:82.51ms +[2026-01-08 08:02:19] [Rank 0] step:3061/10000 train_time:252601ms step_avg:82.52ms +[2026-01-08 08:02:19] [Rank 0] step:3061/10000 train_time:252601ms step_avg:82.52ms +[2026-01-08 08:02:21] [Rank 0] step:3081/10000 train_time:254287ms step_avg:82.53ms +[2026-01-08 08:02:21] [Rank 0] step:3081/10000 train_time:254287ms step_avg:82.53ms +[2026-01-08 08:02:23] [Rank 0] step:3101/10000 train_time:255974ms step_avg:82.55ms +[2026-01-08 08:02:23] [Rank 0] step:3101/10000 train_time:255974ms step_avg:82.55ms +[2026-01-08 08:02:24] [Rank 0] step:3121/10000 train_time:257663ms step_avg:82.56ms +[2026-01-08 08:02:24] [Rank 0] step:3121/10000 train_time:257663ms step_avg:82.56ms +[2026-01-08 08:02:26] [Rank 0] step:3141/10000 train_time:259351ms step_avg:82.57ms +[2026-01-08 08:02:26] [Rank 0] step:3141/10000 train_time:259351ms step_avg:82.57ms +[2026-01-08 08:02:28] [Rank 0] step:3161/10000 train_time:261041ms step_avg:82.58ms +[2026-01-08 08:02:28] [Rank 0] step:3161/10000 train_time:261041ms step_avg:82.58ms +[2026-01-08 08:02:30] [Rank 0] step:3181/10000 train_time:262733ms step_avg:82.59ms +[2026-01-08 08:02:30] [Rank 0] step:3181/10000 train_time:262733ms step_avg:82.59ms +[2026-01-08 08:02:31] [Rank 0] step:3201/10000 train_time:264422ms step_avg:82.61ms +[2026-01-08 08:02:31] [Rank 0] step:3201/10000 train_time:264422ms step_avg:82.61ms +[2026-01-08 08:02:33] [Rank 0] step:3221/10000 train_time:266112ms step_avg:82.62ms +[2026-01-08 08:02:33] [Rank 0] step:3221/10000 train_time:266112ms step_avg:82.62ms +[2026-01-08 08:02:35] [Rank 0] step:3241/10000 train_time:267806ms step_avg:82.63ms +[2026-01-08 08:02:35] [Rank 0] step:3241/10000 train_time:267806ms step_avg:82.63ms +[2026-01-08 08:02:36] [Rank 0] step:3261/10000 train_time:269494ms step_avg:82.64ms +[2026-01-08 08:02:36] [Rank 0] step:3261/10000 train_time:269494ms step_avg:82.64ms +[2026-01-08 08:02:38] [Rank 0] step:3281/10000 train_time:271187ms step_avg:82.65ms +[2026-01-08 08:02:38] [Rank 0] step:3281/10000 train_time:271187ms step_avg:82.65ms +[2026-01-08 08:02:40] [Rank 0] step:3301/10000 train_time:272882ms step_avg:82.67ms +[2026-01-08 08:02:40] [Rank 0] step:3301/10000 train_time:272882ms step_avg:82.67ms +[2026-01-08 08:02:41] [Rank 0] step:3321/10000 train_time:274573ms step_avg:82.68ms +[2026-01-08 08:02:41] [Rank 0] step:3321/10000 train_time:274573ms step_avg:82.68ms +[2026-01-08 08:02:43] [Rank 0] step:3341/10000 train_time:276265ms step_avg:82.69ms +[2026-01-08 08:02:43] [Rank 0] step:3341/10000 train_time:276265ms step_avg:82.69ms +[2026-01-08 08:02:45] [Rank 0] step:3361/10000 train_time:277957ms step_avg:82.70ms +[2026-01-08 08:02:45] [Rank 0] step:3361/10000 train_time:277957ms step_avg:82.70ms +[2026-01-08 08:02:46] [Rank 0] step:3381/10000 train_time:279648ms step_avg:82.71ms +[2026-01-08 08:02:46] [Rank 0] step:3381/10000 train_time:279648ms step_avg:82.71ms +[2026-01-08 08:02:48] [Rank 0] step:3401/10000 train_time:281342ms step_avg:82.72ms +[2026-01-08 08:02:48] [Rank 0] step:3401/10000 train_time:281342ms step_avg:82.72ms +[2026-01-08 08:02:50] [Rank 0] step:3421/10000 train_time:283037ms step_avg:82.74ms +[2026-01-08 08:02:50] [Rank 0] step:3421/10000 train_time:283037ms step_avg:82.74ms +[2026-01-08 08:02:52] [Rank 0] step:3441/10000 train_time:284729ms step_avg:82.75ms +[2026-01-08 08:02:52] [Rank 0] step:3441/10000 train_time:284729ms step_avg:82.75ms +[2026-01-08 08:02:53] [Rank 0] step:3461/10000 train_time:286423ms step_avg:82.76ms +[2026-01-08 08:02:53] [Rank 0] step:3461/10000 train_time:286423ms step_avg:82.76ms +[2026-01-08 08:02:55] [Rank 0] step:3481/10000 train_time:288116ms step_avg:82.77ms +[2026-01-08 08:02:55] [Rank 0] step:3481/10000 train_time:288116ms step_avg:82.77ms +[2026-01-08 08:02:57] [Rank 0] PRINT: [Validation @ Step 3500] Calculating base validation loss... +[2026-01-08 08:02:57] [Rank 0] PRINT: [Validation @ Step 3500] Calculating base validation loss... +[2026-01-08 08:02:57] [Rank 0] PRINT: step:3500/10000 val_loss:3.8047 train_time:289808ms step_avg:82.80ms +[2026-01-08 08:02:57] [Rank 0] PRINT: step:3500/10000 val_loss:3.8047 train_time:289808ms step_avg:82.80ms +[2026-01-08 08:02:57] [Rank 0] step:3501/10000 train_time:289834ms step_avg:82.79ms +[2026-01-08 08:02:57] [Rank 0] step:3501/10000 train_time:289834ms step_avg:82.79ms +[2026-01-08 08:02:59] [Rank 0] step:3521/10000 train_time:291505ms step_avg:82.79ms +[2026-01-08 08:02:59] [Rank 0] step:3521/10000 train_time:291505ms step_avg:82.79ms +[2026-01-08 08:03:00] [Rank 0] step:3541/10000 train_time:293197ms step_avg:82.80ms +[2026-01-08 08:03:00] [Rank 0] step:3541/10000 train_time:293197ms step_avg:82.80ms +[2026-01-08 08:03:02] [Rank 0] step:3561/10000 train_time:294891ms step_avg:82.81ms +[2026-01-08 08:03:02] [Rank 0] step:3561/10000 train_time:294891ms step_avg:82.81ms +[2026-01-08 08:03:04] [Rank 0] step:3581/10000 train_time:296587ms step_avg:82.82ms +[2026-01-08 08:03:04] [Rank 0] step:3581/10000 train_time:296587ms step_avg:82.82ms +[2026-01-08 08:03:06] [Rank 0] step:3601/10000 train_time:298286ms step_avg:82.83ms +[2026-01-08 08:03:06] [Rank 0] step:3601/10000 train_time:298286ms step_avg:82.83ms +[2026-01-08 08:03:07] [Rank 0] step:3621/10000 train_time:299980ms step_avg:82.84ms +[2026-01-08 08:03:07] [Rank 0] step:3621/10000 train_time:299980ms step_avg:82.84ms +[2026-01-08 08:03:09] [Rank 0] step:3641/10000 train_time:301674ms step_avg:82.85ms +[2026-01-08 08:03:09] [Rank 0] step:3641/10000 train_time:301674ms step_avg:82.85ms +[2026-01-08 08:03:11] [Rank 0] step:3661/10000 train_time:303375ms step_avg:82.87ms +[2026-01-08 08:03:11] [Rank 0] step:3661/10000 train_time:303375ms step_avg:82.87ms +[2026-01-08 08:03:12] [Rank 0] step:3681/10000 train_time:305085ms step_avg:82.88ms +[2026-01-08 08:03:12] [Rank 0] step:3681/10000 train_time:305085ms step_avg:82.88ms +[2026-01-08 08:03:14] [Rank 0] step:3701/10000 train_time:306779ms step_avg:82.89ms +[2026-01-08 08:03:14] [Rank 0] step:3701/10000 train_time:306779ms step_avg:82.89ms +[2026-01-08 08:03:16] [Rank 0] step:3721/10000 train_time:308506ms step_avg:82.91ms +[2026-01-08 08:03:16] [Rank 0] step:3721/10000 train_time:308506ms step_avg:82.91ms +[2026-01-08 08:03:18] [Rank 0] step:3741/10000 train_time:310372ms step_avg:82.97ms +[2026-01-08 08:03:18] [Rank 0] step:3741/10000 train_time:310372ms step_avg:82.97ms +[2026-01-08 08:03:20] [Rank 0] step:3761/10000 train_time:312277ms step_avg:83.03ms +[2026-01-08 08:03:20] [Rank 0] step:3761/10000 train_time:312277ms step_avg:83.03ms +[2026-01-08 08:03:21] [Rank 0] step:3781/10000 train_time:314011ms step_avg:83.05ms +[2026-01-08 08:03:21] [Rank 0] step:3781/10000 train_time:314011ms step_avg:83.05ms +[2026-01-08 08:03:23] [Rank 0] step:3801/10000 train_time:315744ms step_avg:83.07ms +[2026-01-08 08:03:23] [Rank 0] step:3801/10000 train_time:315744ms step_avg:83.07ms +[2026-01-08 08:03:25] [Rank 0] step:3821/10000 train_time:317478ms step_avg:83.09ms +[2026-01-08 08:03:25] [Rank 0] step:3821/10000 train_time:317478ms step_avg:83.09ms +[2026-01-08 08:03:26] [Rank 0] step:3841/10000 train_time:319216ms step_avg:83.11ms +[2026-01-08 08:03:26] [Rank 0] step:3841/10000 train_time:319216ms step_avg:83.11ms +[2026-01-08 08:03:28] [Rank 0] step:3861/10000 train_time:320952ms step_avg:83.13ms +[2026-01-08 08:03:28] [Rank 0] step:3861/10000 train_time:320952ms step_avg:83.13ms +[2026-01-08 08:03:30] [Rank 0] step:3881/10000 train_time:322684ms step_avg:83.14ms +[2026-01-08 08:03:30] [Rank 0] step:3881/10000 train_time:322684ms step_avg:83.14ms +[2026-01-08 08:03:32] [Rank 0] step:3901/10000 train_time:324417ms step_avg:83.16ms +[2026-01-08 08:03:32] [Rank 0] step:3901/10000 train_time:324417ms step_avg:83.16ms +[2026-01-08 08:03:33] [Rank 0] step:3921/10000 train_time:326150ms step_avg:83.18ms +[2026-01-08 08:03:33] [Rank 0] step:3921/10000 train_time:326150ms step_avg:83.18ms +[2026-01-08 08:03:35] [Rank 0] step:3941/10000 train_time:327883ms step_avg:83.20ms +[2026-01-08 08:03:35] [Rank 0] step:3941/10000 train_time:327883ms step_avg:83.20ms +[2026-01-08 08:03:37] [Rank 0] step:3961/10000 train_time:329614ms step_avg:83.21ms +[2026-01-08 08:03:37] [Rank 0] step:3961/10000 train_time:329614ms step_avg:83.21ms +[2026-01-08 08:03:39] [Rank 0] step:3981/10000 train_time:331349ms step_avg:83.23ms +[2026-01-08 08:03:39] [Rank 0] step:3981/10000 train_time:331349ms step_avg:83.23ms +[2026-01-08 08:03:40] [Rank 0] PRINT: [Validation @ Step 4000] Calculating base validation loss... +[2026-01-08 08:03:40] [Rank 0] PRINT: [Validation @ Step 4000] Calculating base validation loss... +[2026-01-08 08:03:41] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 4000] Starting MULTI-BATCH analysis... +[2026-01-08 08:03:41] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 4000] Starting MULTI-BATCH analysis... +[2026-01-08 08:03:41] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 08:03:41] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 08:32:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] λ_max:1.7529e+02 λ_min:-1.8048e+01 λ_mean:6.4954e+01 λ_median:3.1037e+01 pos/neg:88/12 time:1698.1s +[2026-01-08 08:32:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] λ_max:1.7529e+02 λ_min:-1.8048e+01 λ_mean:6.4954e+01 λ_median:3.1037e+01 pos/neg:88/12 time:1698.1s +[2026-01-08 08:32:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] Top-5 eigenvalues (outliers): [175.28502068104478, 165.96567049426943, 160.56899110435964, 159.2190721166896, 157.3144179449105] +[2026-01-08 08:32:02] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] Top-5 eigenvalues (outliers): [175.28502068104478, 165.96567049426943, 160.56899110435964, 159.2190721166896, 157.3144179449105] +[2026-01-08 08:32:03] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] Multi-batch analysis complete, resuming training... +[2026-01-08 08:32:03] [Rank 0] PRINT: [Hessian Spectrum @ Step 4000] Multi-batch analysis complete, resuming training... +[2026-01-08 08:32:03] [Rank 0] PRINT: step:4000/10000 val_loss:3.7509 train_time:333075ms step_avg:83.27ms +[2026-01-08 08:32:03] [Rank 0] PRINT: step:4000/10000 val_loss:3.7509 train_time:333075ms step_avg:83.27ms +[2026-01-08 08:32:03] [Rank 0] step:4001/10000 train_time:333149ms step_avg:83.27ms +[2026-01-08 08:32:03] [Rank 0] step:4001/10000 train_time:333149ms step_avg:83.27ms +[2026-01-08 08:32:05] [Rank 0] step:4021/10000 train_time:334818ms step_avg:83.27ms +[2026-01-08 08:32:05] [Rank 0] step:4021/10000 train_time:334818ms step_avg:83.27ms +[2026-01-08 08:32:07] [Rank 0] step:4041/10000 train_time:336539ms step_avg:83.28ms +[2026-01-08 08:32:07] [Rank 0] step:4041/10000 train_time:336539ms step_avg:83.28ms +[2026-01-08 08:32:09] [Rank 0] step:4061/10000 train_time:338261ms step_avg:83.30ms +[2026-01-08 08:32:09] [Rank 0] step:4061/10000 train_time:338261ms step_avg:83.30ms +[2026-01-08 08:32:11] [Rank 0] step:4081/10000 train_time:340688ms step_avg:83.48ms +[2026-01-08 08:32:11] [Rank 0] step:4081/10000 train_time:340688ms step_avg:83.48ms +[2026-01-08 08:32:13] [Rank 0] step:4101/10000 train_time:342409ms step_avg:83.49ms +[2026-01-08 08:32:13] [Rank 0] step:4101/10000 train_time:342409ms step_avg:83.49ms +[2026-01-08 08:32:15] [Rank 0] step:4121/10000 train_time:344130ms step_avg:83.51ms +[2026-01-08 08:32:15] [Rank 0] step:4121/10000 train_time:344130ms step_avg:83.51ms +[2026-01-08 08:32:16] [Rank 0] step:4141/10000 train_time:345854ms step_avg:83.52ms +[2026-01-08 08:32:16] [Rank 0] step:4141/10000 train_time:345854ms step_avg:83.52ms +[2026-01-08 08:32:18] [Rank 0] step:4161/10000 train_time:347578ms step_avg:83.53ms +[2026-01-08 08:32:18] [Rank 0] step:4161/10000 train_time:347578ms step_avg:83.53ms +[2026-01-08 08:32:20] [Rank 0] step:4181/10000 train_time:349304ms step_avg:83.55ms +[2026-01-08 08:32:20] [Rank 0] step:4181/10000 train_time:349304ms step_avg:83.55ms +[2026-01-08 08:32:21] [Rank 0] step:4201/10000 train_time:351028ms step_avg:83.56ms +[2026-01-08 08:32:21] [Rank 0] step:4201/10000 train_time:351028ms step_avg:83.56ms +[2026-01-08 08:32:23] [Rank 0] step:4221/10000 train_time:352752ms step_avg:83.57ms +[2026-01-08 08:32:23] [Rank 0] step:4221/10000 train_time:352752ms step_avg:83.57ms +[2026-01-08 08:32:25] [Rank 0] step:4241/10000 train_time:354484ms step_avg:83.59ms +[2026-01-08 08:32:25] [Rank 0] step:4241/10000 train_time:354484ms step_avg:83.59ms +[2026-01-08 08:32:27] [Rank 0] step:4261/10000 train_time:356209ms step_avg:83.60ms +[2026-01-08 08:32:27] [Rank 0] step:4261/10000 train_time:356209ms step_avg:83.60ms +[2026-01-08 08:32:28] [Rank 0] step:4281/10000 train_time:357935ms step_avg:83.61ms +[2026-01-08 08:32:28] [Rank 0] step:4281/10000 train_time:357935ms step_avg:83.61ms +[2026-01-08 08:32:30] [Rank 0] step:4301/10000 train_time:359661ms step_avg:83.62ms +[2026-01-08 08:32:30] [Rank 0] step:4301/10000 train_time:359661ms step_avg:83.62ms +[2026-01-08 08:32:32] [Rank 0] step:4321/10000 train_time:361389ms step_avg:83.64ms +[2026-01-08 08:32:32] [Rank 0] step:4321/10000 train_time:361389ms step_avg:83.64ms +[2026-01-08 08:32:33] [Rank 0] step:4341/10000 train_time:363115ms step_avg:83.65ms +[2026-01-08 08:32:33] [Rank 0] step:4341/10000 train_time:363115ms step_avg:83.65ms +[2026-01-08 08:32:35] [Rank 0] step:4361/10000 train_time:364844ms step_avg:83.66ms +[2026-01-08 08:32:35] [Rank 0] step:4361/10000 train_time:364844ms step_avg:83.66ms +[2026-01-08 08:32:37] [Rank 0] step:4381/10000 train_time:366570ms step_avg:83.67ms +[2026-01-08 08:32:37] [Rank 0] step:4381/10000 train_time:366570ms step_avg:83.67ms +[2026-01-08 08:32:39] [Rank 0] step:4401/10000 train_time:368297ms step_avg:83.68ms +[2026-01-08 08:32:39] [Rank 0] step:4401/10000 train_time:368297ms step_avg:83.68ms +[2026-01-08 08:32:40] [Rank 0] step:4421/10000 train_time:370025ms step_avg:83.70ms +[2026-01-08 08:32:40] [Rank 0] step:4421/10000 train_time:370025ms step_avg:83.70ms +[2026-01-08 08:32:42] [Rank 0] step:4441/10000 train_time:371752ms step_avg:83.71ms +[2026-01-08 08:32:42] [Rank 0] step:4441/10000 train_time:371752ms step_avg:83.71ms +[2026-01-08 08:32:44] [Rank 0] step:4461/10000 train_time:373489ms step_avg:83.72ms +[2026-01-08 08:32:44] [Rank 0] step:4461/10000 train_time:373489ms step_avg:83.72ms +[2026-01-08 08:32:46] [Rank 0] step:4481/10000 train_time:375230ms step_avg:83.74ms +[2026-01-08 08:32:46] [Rank 0] step:4481/10000 train_time:375230ms step_avg:83.74ms +[2026-01-08 08:32:47] [Rank 0] PRINT: [Validation @ Step 4500] Calculating base validation loss... +[2026-01-08 08:32:47] [Rank 0] PRINT: [Validation @ Step 4500] Calculating base validation loss... +[2026-01-08 08:32:48] [Rank 0] PRINT: step:4500/10000 val_loss:3.7106 train_time:376961ms step_avg:83.77ms +[2026-01-08 08:32:48] [Rank 0] PRINT: step:4500/10000 val_loss:3.7106 train_time:376961ms step_avg:83.77ms +[2026-01-08 08:32:48] [Rank 0] step:4501/10000 train_time:376988ms step_avg:83.76ms +[2026-01-08 08:32:48] [Rank 0] step:4501/10000 train_time:376988ms step_avg:83.76ms +[2026-01-08 08:32:50] [Rank 0] step:4521/10000 train_time:378818ms step_avg:83.79ms +[2026-01-08 08:32:50] [Rank 0] step:4521/10000 train_time:378818ms step_avg:83.79ms +[2026-01-08 08:32:52] [Rank 0] step:4541/10000 train_time:380677ms step_avg:83.83ms +[2026-01-08 08:32:52] [Rank 0] step:4541/10000 train_time:380677ms step_avg:83.83ms +[2026-01-08 08:32:53] [Rank 0] step:4561/10000 train_time:382411ms step_avg:83.84ms +[2026-01-08 08:32:53] [Rank 0] step:4561/10000 train_time:382411ms step_avg:83.84ms +[2026-01-08 08:32:55] [Rank 0] step:4581/10000 train_time:384149ms step_avg:83.86ms +[2026-01-08 08:32:55] [Rank 0] step:4581/10000 train_time:384149ms step_avg:83.86ms +[2026-01-08 08:32:57] [Rank 0] step:4601/10000 train_time:385888ms step_avg:83.87ms +[2026-01-08 08:32:57] [Rank 0] step:4601/10000 train_time:385888ms step_avg:83.87ms +[2026-01-08 08:32:58] [Rank 0] step:4621/10000 train_time:387629ms step_avg:83.88ms +[2026-01-08 08:32:58] [Rank 0] step:4621/10000 train_time:387629ms step_avg:83.88ms +[2026-01-08 08:33:00] [Rank 0] step:4641/10000 train_time:389370ms step_avg:83.90ms +[2026-01-08 08:33:00] [Rank 0] step:4641/10000 train_time:389370ms step_avg:83.90ms +[2026-01-08 08:33:02] [Rank 0] step:4661/10000 train_time:391109ms step_avg:83.91ms +[2026-01-08 08:33:02] [Rank 0] step:4661/10000 train_time:391109ms step_avg:83.91ms +[2026-01-08 08:33:04] [Rank 0] step:4681/10000 train_time:392846ms step_avg:83.92ms +[2026-01-08 08:33:04] [Rank 0] step:4681/10000 train_time:392846ms step_avg:83.92ms +[2026-01-08 08:33:05] [Rank 0] step:4701/10000 train_time:394584ms step_avg:83.94ms +[2026-01-08 08:33:05] [Rank 0] step:4701/10000 train_time:394584ms step_avg:83.94ms +[2026-01-08 08:33:07] [Rank 0] step:4721/10000 train_time:396320ms step_avg:83.95ms +[2026-01-08 08:33:07] [Rank 0] step:4721/10000 train_time:396320ms step_avg:83.95ms +[2026-01-08 08:33:09] [Rank 0] step:4741/10000 train_time:398057ms step_avg:83.96ms +[2026-01-08 08:33:09] [Rank 0] step:4741/10000 train_time:398057ms step_avg:83.96ms +[2026-01-08 08:33:11] [Rank 0] step:4761/10000 train_time:399794ms step_avg:83.97ms +[2026-01-08 08:33:11] [Rank 0] step:4761/10000 train_time:399794ms step_avg:83.97ms +[2026-01-08 08:33:12] [Rank 0] step:4781/10000 train_time:401528ms step_avg:83.98ms +[2026-01-08 08:33:12] [Rank 0] step:4781/10000 train_time:401528ms step_avg:83.98ms +[2026-01-08 08:33:14] [Rank 0] step:4801/10000 train_time:403268ms step_avg:84.00ms +[2026-01-08 08:33:14] [Rank 0] step:4801/10000 train_time:403268ms step_avg:84.00ms +[2026-01-08 08:33:16] [Rank 0] step:4821/10000 train_time:405007ms step_avg:84.01ms +[2026-01-08 08:33:16] [Rank 0] step:4821/10000 train_time:405007ms step_avg:84.01ms +[2026-01-08 08:33:18] [Rank 0] step:4841/10000 train_time:406743ms step_avg:84.02ms +[2026-01-08 08:33:18] [Rank 0] step:4841/10000 train_time:406743ms step_avg:84.02ms +[2026-01-08 08:33:19] [Rank 0] step:4861/10000 train_time:408484ms step_avg:84.03ms +[2026-01-08 08:33:19] [Rank 0] step:4861/10000 train_time:408484ms step_avg:84.03ms +[2026-01-08 08:33:21] [Rank 0] step:4881/10000 train_time:410221ms step_avg:84.04ms +[2026-01-08 08:33:21] [Rank 0] step:4881/10000 train_time:410221ms step_avg:84.04ms +[2026-01-08 08:33:23] [Rank 0] step:4901/10000 train_time:411957ms step_avg:84.06ms +[2026-01-08 08:33:23] [Rank 0] step:4901/10000 train_time:411957ms step_avg:84.06ms +[2026-01-08 08:33:25] [Rank 0] step:4921/10000 train_time:413697ms step_avg:84.07ms +[2026-01-08 08:33:25] [Rank 0] step:4921/10000 train_time:413697ms step_avg:84.07ms +[2026-01-08 08:33:26] [Rank 0] step:4941/10000 train_time:415438ms step_avg:84.08ms +[2026-01-08 08:33:26] [Rank 0] step:4941/10000 train_time:415438ms step_avg:84.08ms +[2026-01-08 08:33:28] [Rank 0] step:4961/10000 train_time:417173ms step_avg:84.09ms +[2026-01-08 08:33:28] [Rank 0] step:4961/10000 train_time:417173ms step_avg:84.09ms +[2026-01-08 08:33:30] [Rank 0] step:4981/10000 train_time:418912ms step_avg:84.10ms +[2026-01-08 08:33:30] [Rank 0] step:4981/10000 train_time:418912ms step_avg:84.10ms +[2026-01-08 08:33:31] [Rank 0] PRINT: [Validation @ Step 5000] Calculating base validation loss... +[2026-01-08 08:33:31] [Rank 0] PRINT: [Validation @ Step 5000] Calculating base validation loss... +[2026-01-08 08:33:32] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 5000] Starting MULTI-BATCH analysis... +[2026-01-08 08:33:32] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 5000] Starting MULTI-BATCH analysis... +[2026-01-08 08:33:32] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 08:33:32] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 08:57:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] λ_max:2.9528e+02 λ_min:-8.2061e+01 λ_mean:9.1152e+01 λ_median:3.7610e+01 pos/neg:76/24 time:1429.6s +[2026-01-08 08:57:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] λ_max:2.9528e+02 λ_min:-8.2061e+01 λ_mean:9.1152e+01 λ_median:3.7610e+01 pos/neg:76/24 time:1429.6s +[2026-01-08 08:57:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] Top-5 eigenvalues (outliers): [295.28305620432997, 286.34887498236384, 283.64950684446865, 282.4082707892435, 264.59390380802614] +[2026-01-08 08:57:25] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] Top-5 eigenvalues (outliers): [295.28305620432997, 286.34887498236384, 283.64950684446865, 282.4082707892435, 264.59390380802614] +[2026-01-08 08:58:17] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] Multi-batch analysis complete, resuming training... +[2026-01-08 08:58:17] [Rank 0] PRINT: [Hessian Spectrum @ Step 5000] Multi-batch analysis complete, resuming training... +[2026-01-08 08:58:17] [Rank 0] PRINT: step:5000/10000 val_loss:3.6758 train_time:420647ms step_avg:84.13ms +[2026-01-08 08:58:17] [Rank 0] PRINT: step:5000/10000 val_loss:3.6758 train_time:420647ms step_avg:84.13ms +[2026-01-08 08:58:18] [Rank 0] step:5001/10000 train_time:420744ms step_avg:84.13ms +[2026-01-08 08:58:18] [Rank 0] step:5001/10000 train_time:420744ms step_avg:84.13ms +[2026-01-08 08:58:19] [Rank 0] step:5021/10000 train_time:422408ms step_avg:84.13ms +[2026-01-08 08:58:19] [Rank 0] step:5021/10000 train_time:422408ms step_avg:84.13ms +[2026-01-08 08:58:21] [Rank 0] step:5041/10000 train_time:424147ms step_avg:84.14ms +[2026-01-08 08:58:21] [Rank 0] step:5041/10000 train_time:424147ms step_avg:84.14ms +[2026-01-08 08:58:23] [Rank 0] step:5061/10000 train_time:425877ms step_avg:84.15ms +[2026-01-08 08:58:23] [Rank 0] step:5061/10000 train_time:425877ms step_avg:84.15ms +[2026-01-08 08:58:24] [Rank 0] step:5081/10000 train_time:427611ms step_avg:84.16ms +[2026-01-08 08:58:24] [Rank 0] step:5081/10000 train_time:427611ms step_avg:84.16ms +[2026-01-08 08:58:26] [Rank 0] step:5101/10000 train_time:429346ms step_avg:84.17ms +[2026-01-08 08:58:26] [Rank 0] step:5101/10000 train_time:429346ms step_avg:84.17ms +[2026-01-08 08:58:28] [Rank 0] step:5121/10000 train_time:431080ms step_avg:84.18ms +[2026-01-08 08:58:28] [Rank 0] step:5121/10000 train_time:431080ms step_avg:84.18ms +[2026-01-08 08:58:30] [Rank 0] step:5141/10000 train_time:432819ms step_avg:84.19ms +[2026-01-08 08:58:30] [Rank 0] step:5141/10000 train_time:432819ms step_avg:84.19ms +[2026-01-08 08:58:31] [Rank 0] step:5161/10000 train_time:434557ms step_avg:84.20ms +[2026-01-08 08:58:31] [Rank 0] step:5161/10000 train_time:434557ms step_avg:84.20ms +[2026-01-08 08:58:33] [Rank 0] step:5181/10000 train_time:436296ms step_avg:84.21ms +[2026-01-08 08:58:33] [Rank 0] step:5181/10000 train_time:436296ms step_avg:84.21ms +[2026-01-08 08:58:35] [Rank 0] step:5201/10000 train_time:438057ms step_avg:84.23ms +[2026-01-08 08:58:35] [Rank 0] step:5201/10000 train_time:438057ms step_avg:84.23ms +[2026-01-08 08:58:37] [Rank 0] step:5221/10000 train_time:439825ms step_avg:84.24ms +[2026-01-08 08:58:37] [Rank 0] step:5221/10000 train_time:439825ms step_avg:84.24ms +[2026-01-08 08:58:38] [Rank 0] step:5241/10000 train_time:441599ms step_avg:84.26ms +[2026-01-08 08:58:38] [Rank 0] step:5241/10000 train_time:441599ms step_avg:84.26ms +[2026-01-08 08:58:40] [Rank 0] step:5261/10000 train_time:443368ms step_avg:84.27ms +[2026-01-08 08:58:40] [Rank 0] step:5261/10000 train_time:443368ms step_avg:84.27ms +[2026-01-08 08:58:42] [Rank 0] step:5281/10000 train_time:445142ms step_avg:84.29ms +[2026-01-08 08:58:42] [Rank 0] step:5281/10000 train_time:445142ms step_avg:84.29ms +[2026-01-08 08:58:44] [Rank 0] step:5301/10000 train_time:446923ms step_avg:84.31ms +[2026-01-08 08:58:44] [Rank 0] step:5301/10000 train_time:446923ms step_avg:84.31ms +[2026-01-08 08:58:46] [Rank 0] step:5321/10000 train_time:448696ms step_avg:84.33ms +[2026-01-08 08:58:46] [Rank 0] step:5321/10000 train_time:448696ms step_avg:84.33ms +[2026-01-08 08:58:47] [Rank 0] step:5341/10000 train_time:450466ms step_avg:84.34ms +[2026-01-08 08:58:47] [Rank 0] step:5341/10000 train_time:450466ms step_avg:84.34ms +[2026-01-08 08:58:49] [Rank 0] step:5361/10000 train_time:452243ms step_avg:84.36ms +[2026-01-08 08:58:49] [Rank 0] step:5361/10000 train_time:452243ms step_avg:84.36ms +[2026-01-08 08:58:51] [Rank 0] step:5381/10000 train_time:454019ms step_avg:84.37ms +[2026-01-08 08:58:51] [Rank 0] step:5381/10000 train_time:454019ms step_avg:84.37ms +[2026-01-08 08:58:53] [Rank 0] step:5401/10000 train_time:455793ms step_avg:84.39ms +[2026-01-08 08:58:53] [Rank 0] step:5401/10000 train_time:455793ms step_avg:84.39ms +[2026-01-08 08:58:54] [Rank 0] step:5421/10000 train_time:457566ms step_avg:84.41ms +[2026-01-08 08:58:54] [Rank 0] step:5421/10000 train_time:457566ms step_avg:84.41ms +[2026-01-08 08:58:56] [Rank 0] step:5441/10000 train_time:459338ms step_avg:84.42ms +[2026-01-08 08:58:56] [Rank 0] step:5441/10000 train_time:459338ms step_avg:84.42ms +[2026-01-08 08:58:58] [Rank 0] step:5461/10000 train_time:461115ms step_avg:84.44ms +[2026-01-08 08:58:58] [Rank 0] step:5461/10000 train_time:461115ms step_avg:84.44ms +[2026-01-08 08:59:00] [Rank 0] step:5481/10000 train_time:462893ms step_avg:84.45ms +[2026-01-08 08:59:00] [Rank 0] step:5481/10000 train_time:462893ms step_avg:84.45ms +[2026-01-08 08:59:01] [Rank 0] PRINT: [Validation @ Step 5500] Calculating base validation loss... +[2026-01-08 08:59:01] [Rank 0] PRINT: [Validation @ Step 5500] Calculating base validation loss... +[2026-01-08 08:59:02] [Rank 0] PRINT: step:5500/10000 val_loss:3.6515 train_time:464674ms step_avg:84.49ms +[2026-01-08 08:59:02] [Rank 0] PRINT: step:5500/10000 val_loss:3.6515 train_time:464674ms step_avg:84.49ms +[2026-01-08 08:59:02] [Rank 0] step:5501/10000 train_time:464700ms step_avg:84.48ms +[2026-01-08 08:59:02] [Rank 0] step:5501/10000 train_time:464700ms step_avg:84.48ms +[2026-01-08 08:59:04] [Rank 0] step:5521/10000 train_time:466458ms step_avg:84.49ms +[2026-01-08 08:59:04] [Rank 0] step:5521/10000 train_time:466458ms step_avg:84.49ms +[2026-01-08 08:59:06] [Rank 0] step:5541/10000 train_time:468234ms step_avg:84.50ms +[2026-01-08 08:59:06] [Rank 0] step:5541/10000 train_time:468234ms step_avg:84.50ms +[2026-01-08 08:59:07] [Rank 0] step:5561/10000 train_time:470010ms step_avg:84.52ms +[2026-01-08 08:59:07] [Rank 0] step:5561/10000 train_time:470010ms step_avg:84.52ms +[2026-01-08 08:59:09] [Rank 0] step:5581/10000 train_time:471786ms step_avg:84.53ms +[2026-01-08 08:59:09] [Rank 0] step:5581/10000 train_time:471786ms step_avg:84.53ms +[2026-01-08 08:59:11] [Rank 0] step:5601/10000 train_time:473683ms step_avg:84.57ms +[2026-01-08 08:59:11] [Rank 0] step:5601/10000 train_time:473683ms step_avg:84.57ms +[2026-01-08 08:59:13] [Rank 0] step:5621/10000 train_time:475614ms step_avg:84.61ms +[2026-01-08 08:59:13] [Rank 0] step:5621/10000 train_time:475614ms step_avg:84.61ms +[2026-01-08 08:59:15] [Rank 0] step:5641/10000 train_time:477390ms step_avg:84.63ms +[2026-01-08 08:59:15] [Rank 0] step:5641/10000 train_time:477390ms step_avg:84.63ms +[2026-01-08 08:59:16] [Rank 0] step:5661/10000 train_time:479165ms step_avg:84.64ms +[2026-01-08 08:59:16] [Rank 0] step:5661/10000 train_time:479165ms step_avg:84.64ms +[2026-01-08 08:59:18] [Rank 0] step:5681/10000 train_time:480941ms step_avg:84.66ms +[2026-01-08 08:59:18] [Rank 0] step:5681/10000 train_time:480941ms step_avg:84.66ms +[2026-01-08 08:59:20] [Rank 0] step:5701/10000 train_time:482717ms step_avg:84.67ms +[2026-01-08 08:59:20] [Rank 0] step:5701/10000 train_time:482717ms step_avg:84.67ms +[2026-01-08 08:59:22] [Rank 0] step:5721/10000 train_time:484495ms step_avg:84.69ms +[2026-01-08 08:59:22] [Rank 0] step:5721/10000 train_time:484495ms step_avg:84.69ms +[2026-01-08 08:59:24] [Rank 0] step:5741/10000 train_time:486266ms step_avg:84.70ms +[2026-01-08 08:59:24] [Rank 0] step:5741/10000 train_time:486266ms step_avg:84.70ms +[2026-01-08 08:59:25] [Rank 0] step:5761/10000 train_time:488042ms step_avg:84.71ms +[2026-01-08 08:59:25] [Rank 0] step:5761/10000 train_time:488042ms step_avg:84.71ms +[2026-01-08 08:59:27] [Rank 0] step:5781/10000 train_time:489820ms step_avg:84.73ms +[2026-01-08 08:59:27] [Rank 0] step:5781/10000 train_time:489820ms step_avg:84.73ms +[2026-01-08 08:59:29] [Rank 0] step:5801/10000 train_time:491597ms step_avg:84.74ms +[2026-01-08 08:59:29] [Rank 0] step:5801/10000 train_time:491597ms step_avg:84.74ms +[2026-01-08 08:59:31] [Rank 0] step:5821/10000 train_time:493366ms step_avg:84.76ms +[2026-01-08 08:59:31] [Rank 0] step:5821/10000 train_time:493366ms step_avg:84.76ms +[2026-01-08 08:59:32] [Rank 0] step:5841/10000 train_time:495138ms step_avg:84.77ms +[2026-01-08 08:59:32] [Rank 0] step:5841/10000 train_time:495138ms step_avg:84.77ms +[2026-01-08 08:59:34] [Rank 0] step:5861/10000 train_time:496917ms step_avg:84.78ms +[2026-01-08 08:59:34] [Rank 0] step:5861/10000 train_time:496917ms step_avg:84.78ms +[2026-01-08 08:59:36] [Rank 0] step:5881/10000 train_time:498691ms step_avg:84.80ms +[2026-01-08 08:59:36] [Rank 0] step:5881/10000 train_time:498691ms step_avg:84.80ms +[2026-01-08 08:59:38] [Rank 0] step:5901/10000 train_time:500468ms step_avg:84.81ms +[2026-01-08 08:59:38] [Rank 0] step:5901/10000 train_time:500468ms step_avg:84.81ms +[2026-01-08 08:59:40] [Rank 0] step:5921/10000 train_time:502242ms step_avg:84.82ms +[2026-01-08 08:59:40] [Rank 0] step:5921/10000 train_time:502242ms step_avg:84.82ms +[2026-01-08 08:59:41] [Rank 0] step:5941/10000 train_time:504023ms step_avg:84.84ms +[2026-01-08 08:59:41] [Rank 0] step:5941/10000 train_time:504023ms step_avg:84.84ms +[2026-01-08 08:59:43] [Rank 0] step:5961/10000 train_time:505801ms step_avg:84.85ms +[2026-01-08 08:59:43] [Rank 0] step:5961/10000 train_time:505801ms step_avg:84.85ms +[2026-01-08 08:59:45] [Rank 0] step:5981/10000 train_time:507576ms step_avg:84.86ms +[2026-01-08 08:59:45] [Rank 0] step:5981/10000 train_time:507576ms step_avg:84.86ms +[2026-01-08 08:59:47] [Rank 0] PRINT: [Validation @ Step 6000] Calculating base validation loss... +[2026-01-08 08:59:47] [Rank 0] PRINT: [Validation @ Step 6000] Calculating base validation loss... +[2026-01-08 08:59:47] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 6000] Starting MULTI-BATCH analysis... +[2026-01-08 08:59:47] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 6000] Starting MULTI-BATCH analysis... +[2026-01-08 08:59:47] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 08:59:47] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 09:23:28] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] λ_max:1.5010e+02 λ_min:-3.4170e+01 λ_mean:5.5542e+01 λ_median:3.6891e+01 pos/neg:83/17 time:1417.8s +[2026-01-08 09:23:28] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] λ_max:1.5010e+02 λ_min:-3.4170e+01 λ_mean:5.5542e+01 λ_median:3.6891e+01 pos/neg:83/17 time:1417.8s +[2026-01-08 09:23:28] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] Top-5 eigenvalues (outliers): [150.09824376092232, 146.9311928363129, 144.50132695662623, 141.9270247608201, 139.9176089884231] +[2026-01-08 09:23:28] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] Top-5 eigenvalues (outliers): [150.09824376092232, 146.9311928363129, 144.50132695662623, 141.9270247608201, 139.9176089884231] +[2026-01-08 09:24:03] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] Multi-batch analysis complete, resuming training... +[2026-01-08 09:24:03] [Rank 0] PRINT: [Hessian Spectrum @ Step 6000] Multi-batch analysis complete, resuming training... +[2026-01-08 09:24:03] [Rank 0] PRINT: step:6000/10000 val_loss:3.6164 train_time:509348ms step_avg:84.89ms +[2026-01-08 09:24:03] [Rank 0] PRINT: step:6000/10000 val_loss:3.6164 train_time:509348ms step_avg:84.89ms +[2026-01-08 09:24:03] [Rank 0] step:6001/10000 train_time:509445ms step_avg:84.89ms +[2026-01-08 09:24:03] [Rank 0] step:6001/10000 train_time:509445ms step_avg:84.89ms +[2026-01-08 09:24:05] [Rank 0] step:6021/10000 train_time:511155ms step_avg:84.90ms +[2026-01-08 09:24:05] [Rank 0] step:6021/10000 train_time:511155ms step_avg:84.90ms +[2026-01-08 09:24:07] [Rank 0] step:6041/10000 train_time:512932ms step_avg:84.91ms +[2026-01-08 09:24:07] [Rank 0] step:6041/10000 train_time:512932ms step_avg:84.91ms +[2026-01-08 09:24:08] [Rank 0] step:6061/10000 train_time:514711ms step_avg:84.92ms +[2026-01-08 09:24:08] [Rank 0] step:6061/10000 train_time:514711ms step_avg:84.92ms +[2026-01-08 09:24:10] [Rank 0] step:6081/10000 train_time:516484ms step_avg:84.93ms +[2026-01-08 09:24:10] [Rank 0] step:6081/10000 train_time:516484ms step_avg:84.93ms +[2026-01-08 09:24:12] [Rank 0] step:6101/10000 train_time:518268ms step_avg:84.95ms +[2026-01-08 09:24:12] [Rank 0] step:6101/10000 train_time:518268ms step_avg:84.95ms +[2026-01-08 09:24:14] [Rank 0] step:6121/10000 train_time:520332ms step_avg:85.01ms +[2026-01-08 09:24:14] [Rank 0] step:6121/10000 train_time:520332ms step_avg:85.01ms +[2026-01-08 09:24:16] [Rank 0] step:6141/10000 train_time:522117ms step_avg:85.02ms +[2026-01-08 09:24:16] [Rank 0] step:6141/10000 train_time:522117ms step_avg:85.02ms +[2026-01-08 09:24:18] [Rank 0] step:6161/10000 train_time:523892ms step_avg:85.03ms +[2026-01-08 09:24:18] [Rank 0] step:6161/10000 train_time:523892ms step_avg:85.03ms +[2026-01-08 09:24:19] [Rank 0] step:6181/10000 train_time:525669ms step_avg:85.05ms +[2026-01-08 09:24:19] [Rank 0] step:6181/10000 train_time:525669ms step_avg:85.05ms +[2026-01-08 09:24:21] [Rank 0] step:6201/10000 train_time:527447ms step_avg:85.06ms +[2026-01-08 09:24:21] [Rank 0] step:6201/10000 train_time:527447ms step_avg:85.06ms +[2026-01-08 09:24:23] [Rank 0] step:6221/10000 train_time:529226ms step_avg:85.07ms +[2026-01-08 09:24:23] [Rank 0] step:6221/10000 train_time:529226ms step_avg:85.07ms +[2026-01-08 09:24:25] [Rank 0] step:6241/10000 train_time:531006ms step_avg:85.08ms +[2026-01-08 09:24:25] [Rank 0] step:6241/10000 train_time:531006ms step_avg:85.08ms +[2026-01-08 09:24:27] [Rank 0] step:6261/10000 train_time:532785ms step_avg:85.10ms +[2026-01-08 09:24:27] [Rank 0] step:6261/10000 train_time:532785ms step_avg:85.10ms +[2026-01-08 09:24:28] [Rank 0] step:6281/10000 train_time:534698ms step_avg:85.13ms +[2026-01-08 09:24:28] [Rank 0] step:6281/10000 train_time:534698ms step_avg:85.13ms +[2026-01-08 09:24:30] [Rank 0] step:6301/10000 train_time:536549ms step_avg:85.15ms +[2026-01-08 09:24:30] [Rank 0] step:6301/10000 train_time:536549ms step_avg:85.15ms +[2026-01-08 09:24:32] [Rank 0] step:6321/10000 train_time:538332ms step_avg:85.17ms +[2026-01-08 09:24:32] [Rank 0] step:6321/10000 train_time:538332ms step_avg:85.17ms +[2026-01-08 09:24:34] [Rank 0] step:6341/10000 train_time:540112ms step_avg:85.18ms +[2026-01-08 09:24:34] [Rank 0] step:6341/10000 train_time:540112ms step_avg:85.18ms +[2026-01-08 09:24:36] [Rank 0] step:6361/10000 train_time:541903ms step_avg:85.19ms +[2026-01-08 09:24:36] [Rank 0] step:6361/10000 train_time:541903ms step_avg:85.19ms +[2026-01-08 09:24:37] [Rank 0] step:6381/10000 train_time:543687ms step_avg:85.20ms +[2026-01-08 09:24:37] [Rank 0] step:6381/10000 train_time:543687ms step_avg:85.20ms +[2026-01-08 09:24:39] [Rank 0] step:6401/10000 train_time:545469ms step_avg:85.22ms +[2026-01-08 09:24:39] [Rank 0] step:6401/10000 train_time:545469ms step_avg:85.22ms +[2026-01-08 09:24:41] [Rank 0] step:6421/10000 train_time:547253ms step_avg:85.23ms +[2026-01-08 09:24:41] [Rank 0] step:6421/10000 train_time:547253ms step_avg:85.23ms +[2026-01-08 09:24:43] [Rank 0] step:6441/10000 train_time:549035ms step_avg:85.24ms +[2026-01-08 09:24:43] [Rank 0] step:6441/10000 train_time:549035ms step_avg:85.24ms +[2026-01-08 09:24:45] [Rank 0] step:6461/10000 train_time:550820ms step_avg:85.25ms +[2026-01-08 09:24:45] [Rank 0] step:6461/10000 train_time:550820ms step_avg:85.25ms +[2026-01-08 09:24:46] [Rank 0] step:6481/10000 train_time:552617ms step_avg:85.27ms +[2026-01-08 09:24:46] [Rank 0] step:6481/10000 train_time:552617ms step_avg:85.27ms +[2026-01-08 09:24:48] [Rank 0] PRINT: [Validation @ Step 6500] Calculating base validation loss... +[2026-01-08 09:24:48] [Rank 0] PRINT: [Validation @ Step 6500] Calculating base validation loss... +[2026-01-08 09:24:49] [Rank 0] PRINT: step:6500/10000 val_loss:3.5987 train_time:554394ms step_avg:85.29ms +[2026-01-08 09:24:49] [Rank 0] PRINT: step:6500/10000 val_loss:3.5987 train_time:554394ms step_avg:85.29ms +[2026-01-08 09:24:49] [Rank 0] step:6501/10000 train_time:554420ms step_avg:85.28ms +[2026-01-08 09:24:49] [Rank 0] step:6501/10000 train_time:554420ms step_avg:85.28ms +[2026-01-08 09:24:50] [Rank 0] step:6521/10000 train_time:556174ms step_avg:85.29ms +[2026-01-08 09:24:50] [Rank 0] step:6521/10000 train_time:556174ms step_avg:85.29ms +[2026-01-08 09:24:52] [Rank 0] step:6541/10000 train_time:557956ms step_avg:85.30ms +[2026-01-08 09:24:52] [Rank 0] step:6541/10000 train_time:557956ms step_avg:85.30ms +[2026-01-08 09:24:54] [Rank 0] step:6561/10000 train_time:559737ms step_avg:85.31ms +[2026-01-08 09:24:54] [Rank 0] step:6561/10000 train_time:559737ms step_avg:85.31ms +[2026-01-08 09:24:56] [Rank 0] step:6581/10000 train_time:561517ms step_avg:85.32ms +[2026-01-08 09:24:56] [Rank 0] step:6581/10000 train_time:561517ms step_avg:85.32ms +[2026-01-08 09:24:58] [Rank 0] step:6601/10000 train_time:563303ms step_avg:85.34ms +[2026-01-08 09:24:58] [Rank 0] step:6601/10000 train_time:563303ms step_avg:85.34ms +[2026-01-08 09:24:59] [Rank 0] step:6621/10000 train_time:565080ms step_avg:85.35ms +[2026-01-08 09:24:59] [Rank 0] step:6621/10000 train_time:565080ms step_avg:85.35ms +[2026-01-08 09:25:01] [Rank 0] step:6641/10000 train_time:566872ms step_avg:85.36ms +[2026-01-08 09:25:01] [Rank 0] step:6641/10000 train_time:566872ms step_avg:85.36ms +[2026-01-08 09:25:03] [Rank 0] step:6661/10000 train_time:568653ms step_avg:85.37ms +[2026-01-08 09:25:03] [Rank 0] step:6661/10000 train_time:568653ms step_avg:85.37ms +[2026-01-08 09:25:05] [Rank 0] step:6681/10000 train_time:570453ms step_avg:85.38ms +[2026-01-08 09:25:05] [Rank 0] step:6681/10000 train_time:570453ms step_avg:85.38ms +[2026-01-08 09:25:07] [Rank 0] step:6701/10000 train_time:572275ms step_avg:85.40ms +[2026-01-08 09:25:07] [Rank 0] step:6701/10000 train_time:572275ms step_avg:85.40ms +[2026-01-08 09:25:08] [Rank 0] step:6721/10000 train_time:574091ms step_avg:85.42ms +[2026-01-08 09:25:08] [Rank 0] step:6721/10000 train_time:574091ms step_avg:85.42ms +[2026-01-08 09:25:10] [Rank 0] step:6741/10000 train_time:575903ms step_avg:85.43ms +[2026-01-08 09:25:10] [Rank 0] step:6741/10000 train_time:575903ms step_avg:85.43ms +[2026-01-08 09:25:12] [Rank 0] step:6761/10000 train_time:577712ms step_avg:85.45ms +[2026-01-08 09:25:12] [Rank 0] step:6761/10000 train_time:577712ms step_avg:85.45ms +[2026-01-08 09:25:14] [Rank 0] step:6781/10000 train_time:579532ms step_avg:85.46ms +[2026-01-08 09:25:14] [Rank 0] step:6781/10000 train_time:579532ms step_avg:85.46ms +[2026-01-08 09:25:16] [Rank 0] step:6801/10000 train_time:581349ms step_avg:85.48ms +[2026-01-08 09:25:16] [Rank 0] step:6801/10000 train_time:581349ms step_avg:85.48ms +[2026-01-08 09:25:17] [Rank 0] step:6821/10000 train_time:583155ms step_avg:85.49ms +[2026-01-08 09:25:17] [Rank 0] step:6821/10000 train_time:583155ms step_avg:85.49ms +[2026-01-08 09:25:19] [Rank 0] step:6841/10000 train_time:584968ms step_avg:85.51ms +[2026-01-08 09:25:19] [Rank 0] step:6841/10000 train_time:584968ms step_avg:85.51ms +[2026-01-08 09:25:21] [Rank 0] step:6861/10000 train_time:586775ms step_avg:85.52ms +[2026-01-08 09:25:21] [Rank 0] step:6861/10000 train_time:586775ms step_avg:85.52ms +[2026-01-08 09:25:23] [Rank 0] step:6881/10000 train_time:588591ms step_avg:85.54ms +[2026-01-08 09:25:23] [Rank 0] step:6881/10000 train_time:588591ms step_avg:85.54ms +[2026-01-08 09:25:25] [Rank 0] step:6901/10000 train_time:590400ms step_avg:85.55ms +[2026-01-08 09:25:25] [Rank 0] step:6901/10000 train_time:590400ms step_avg:85.55ms +[2026-01-08 09:25:26] [Rank 0] step:6921/10000 train_time:592207ms step_avg:85.57ms +[2026-01-08 09:25:26] [Rank 0] step:6921/10000 train_time:592207ms step_avg:85.57ms +[2026-01-08 09:25:28] [Rank 0] step:6941/10000 train_time:594027ms step_avg:85.58ms +[2026-01-08 09:25:28] [Rank 0] step:6941/10000 train_time:594027ms step_avg:85.58ms +[2026-01-08 09:25:30] [Rank 0] step:6961/10000 train_time:595861ms step_avg:85.60ms +[2026-01-08 09:25:30] [Rank 0] step:6961/10000 train_time:595861ms step_avg:85.60ms +[2026-01-08 09:25:32] [Rank 0] step:6981/10000 train_time:597844ms step_avg:85.64ms +[2026-01-08 09:25:32] [Rank 0] step:6981/10000 train_time:597844ms step_avg:85.64ms +[2026-01-08 09:25:34] [Rank 0] PRINT: [Validation @ Step 7000] Calculating base validation loss... +[2026-01-08 09:25:34] [Rank 0] PRINT: [Validation @ Step 7000] Calculating base validation loss... +[2026-01-08 09:25:34] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 7000] Starting MULTI-BATCH analysis... +[2026-01-08 09:25:34] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 7000] Starting MULTI-BATCH analysis... +[2026-01-08 09:25:34] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 09:25:34] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 09:49:21] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] λ_max:1.7273e+02 λ_min:-4.1778e+01 λ_mean:5.4224e+01 λ_median:3.5733e+01 pos/neg:78/22 time:1423.1s +[2026-01-08 09:49:21] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] λ_max:1.7273e+02 λ_min:-4.1778e+01 λ_mean:5.4224e+01 λ_median:3.5733e+01 pos/neg:78/22 time:1423.1s +[2026-01-08 09:49:21] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] Top-5 eigenvalues (outliers): [172.73192710750007, 168.17544472520885, 165.15510373452653, 157.32083361229883, 149.30025187817057] +[2026-01-08 09:49:21] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] Top-5 eigenvalues (outliers): [172.73192710750007, 168.17544472520885, 165.15510373452653, 157.32083361229883, 149.30025187817057] +[2026-01-08 09:49:44] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] Multi-batch analysis complete, resuming training... +[2026-01-08 09:49:44] [Rank 0] PRINT: [Hessian Spectrum @ Step 7000] Multi-batch analysis complete, resuming training... +[2026-01-08 09:49:44] [Rank 0] PRINT: step:7000/10000 val_loss:3.5740 train_time:599668ms step_avg:85.67ms +[2026-01-08 09:49:44] [Rank 0] PRINT: step:7000/10000 val_loss:3.5740 train_time:599668ms step_avg:85.67ms +[2026-01-08 09:49:45] [Rank 0] step:7001/10000 train_time:599749ms step_avg:85.67ms +[2026-01-08 09:49:45] [Rank 0] step:7001/10000 train_time:599749ms step_avg:85.67ms +[2026-01-08 09:49:46] [Rank 0] step:7021/10000 train_time:601589ms step_avg:85.68ms +[2026-01-08 09:49:46] [Rank 0] step:7021/10000 train_time:601589ms step_avg:85.68ms +[2026-01-08 09:49:48] [Rank 0] step:7041/10000 train_time:603560ms step_avg:85.72ms +[2026-01-08 09:49:48] [Rank 0] step:7041/10000 train_time:603560ms step_avg:85.72ms +[2026-01-08 09:49:50] [Rank 0] step:7061/10000 train_time:605368ms step_avg:85.73ms +[2026-01-08 09:49:50] [Rank 0] step:7061/10000 train_time:605368ms step_avg:85.73ms +[2026-01-08 09:49:52] [Rank 0] step:7081/10000 train_time:607170ms step_avg:85.75ms +[2026-01-08 09:49:52] [Rank 0] step:7081/10000 train_time:607170ms step_avg:85.75ms +[2026-01-08 09:49:54] [Rank 0] step:7101/10000 train_time:608988ms step_avg:85.76ms +[2026-01-08 09:49:54] [Rank 0] step:7101/10000 train_time:608988ms step_avg:85.76ms +[2026-01-08 09:49:56] [Rank 0] step:7121/10000 train_time:610793ms step_avg:85.77ms +[2026-01-08 09:49:56] [Rank 0] step:7121/10000 train_time:610793ms step_avg:85.77ms +[2026-01-08 09:49:57] [Rank 0] step:7141/10000 train_time:612601ms step_avg:85.79ms +[2026-01-08 09:49:57] [Rank 0] step:7141/10000 train_time:612601ms step_avg:85.79ms +[2026-01-08 09:49:59] [Rank 0] step:7161/10000 train_time:614411ms step_avg:85.80ms +[2026-01-08 09:49:59] [Rank 0] step:7161/10000 train_time:614411ms step_avg:85.80ms +[2026-01-08 09:50:01] [Rank 0] step:7181/10000 train_time:616222ms step_avg:85.81ms +[2026-01-08 09:50:01] [Rank 0] step:7181/10000 train_time:616222ms step_avg:85.81ms +[2026-01-08 09:50:03] [Rank 0] step:7201/10000 train_time:618037ms step_avg:85.83ms +[2026-01-08 09:50:03] [Rank 0] step:7201/10000 train_time:618037ms step_avg:85.83ms +[2026-01-08 09:50:05] [Rank 0] step:7221/10000 train_time:619852ms step_avg:85.84ms +[2026-01-08 09:50:05] [Rank 0] step:7221/10000 train_time:619852ms step_avg:85.84ms +[2026-01-08 09:50:07] [Rank 0] step:7241/10000 train_time:621664ms step_avg:85.85ms +[2026-01-08 09:50:07] [Rank 0] step:7241/10000 train_time:621664ms step_avg:85.85ms +[2026-01-08 09:50:08] [Rank 0] step:7261/10000 train_time:623469ms step_avg:85.87ms +[2026-01-08 09:50:08] [Rank 0] step:7261/10000 train_time:623469ms step_avg:85.87ms +[2026-01-08 09:50:10] [Rank 0] step:7281/10000 train_time:625291ms step_avg:85.88ms +[2026-01-08 09:50:10] [Rank 0] step:7281/10000 train_time:625291ms step_avg:85.88ms +[2026-01-08 09:50:12] [Rank 0] step:7301/10000 train_time:627099ms step_avg:85.89ms +[2026-01-08 09:50:12] [Rank 0] step:7301/10000 train_time:627099ms step_avg:85.89ms +[2026-01-08 09:50:14] [Rank 0] step:7321/10000 train_time:628928ms step_avg:85.91ms +[2026-01-08 09:50:14] [Rank 0] step:7321/10000 train_time:628928ms step_avg:85.91ms +[2026-01-08 09:50:16] [Rank 0] step:7341/10000 train_time:630739ms step_avg:85.92ms +[2026-01-08 09:50:16] [Rank 0] step:7341/10000 train_time:630739ms step_avg:85.92ms +[2026-01-08 09:50:17] [Rank 0] step:7361/10000 train_time:632562ms step_avg:85.93ms +[2026-01-08 09:50:17] [Rank 0] step:7361/10000 train_time:632562ms step_avg:85.93ms +[2026-01-08 09:50:19] [Rank 0] step:7381/10000 train_time:634381ms step_avg:85.95ms +[2026-01-08 09:50:19] [Rank 0] step:7381/10000 train_time:634381ms step_avg:85.95ms +[2026-01-08 09:50:21] [Rank 0] step:7401/10000 train_time:636178ms step_avg:85.96ms +[2026-01-08 09:50:21] [Rank 0] step:7401/10000 train_time:636178ms step_avg:85.96ms +[2026-01-08 09:50:23] [Rank 0] step:7421/10000 train_time:638007ms step_avg:85.97ms +[2026-01-08 09:50:23] [Rank 0] step:7421/10000 train_time:638007ms step_avg:85.97ms +[2026-01-08 09:50:25] [Rank 0] step:7441/10000 train_time:639821ms step_avg:85.99ms +[2026-01-08 09:50:25] [Rank 0] step:7441/10000 train_time:639821ms step_avg:85.99ms +[2026-01-08 09:50:27] [Rank 0] step:7461/10000 train_time:641637ms step_avg:86.00ms +[2026-01-08 09:50:27] [Rank 0] step:7461/10000 train_time:641637ms step_avg:86.00ms +[2026-01-08 09:50:28] [Rank 0] step:7481/10000 train_time:643459ms step_avg:86.01ms +[2026-01-08 09:50:28] [Rank 0] step:7481/10000 train_time:643459ms step_avg:86.01ms +[2026-01-08 09:50:30] [Rank 0] PRINT: [Validation @ Step 7500] Calculating base validation loss... +[2026-01-08 09:50:30] [Rank 0] PRINT: [Validation @ Step 7500] Calculating base validation loss... +[2026-01-08 09:50:31] [Rank 0] PRINT: step:7500/10000 val_loss:3.5597 train_time:645275ms step_avg:86.04ms +[2026-01-08 09:50:31] [Rank 0] PRINT: step:7500/10000 val_loss:3.5597 train_time:645275ms step_avg:86.04ms +[2026-01-08 09:50:31] [Rank 0] step:7501/10000 train_time:645302ms step_avg:86.03ms +[2026-01-08 09:50:31] [Rank 0] step:7501/10000 train_time:645302ms step_avg:86.03ms +[2026-01-08 09:50:32] [Rank 0] step:7521/10000 train_time:647102ms step_avg:86.04ms +[2026-01-08 09:50:32] [Rank 0] step:7521/10000 train_time:647102ms step_avg:86.04ms +[2026-01-08 09:50:34] [Rank 0] step:7541/10000 train_time:648933ms step_avg:86.05ms +[2026-01-08 09:50:34] [Rank 0] step:7541/10000 train_time:648933ms step_avg:86.05ms +[2026-01-08 09:50:36] [Rank 0] step:7561/10000 train_time:650741ms step_avg:86.07ms +[2026-01-08 09:50:36] [Rank 0] step:7561/10000 train_time:650741ms step_avg:86.07ms +[2026-01-08 09:50:38] [Rank 0] step:7581/10000 train_time:652569ms step_avg:86.08ms +[2026-01-08 09:50:38] [Rank 0] step:7581/10000 train_time:652569ms step_avg:86.08ms +[2026-01-08 09:50:40] [Rank 0] step:7601/10000 train_time:654397ms step_avg:86.09ms +[2026-01-08 09:50:40] [Rank 0] step:7601/10000 train_time:654397ms step_avg:86.09ms +[2026-01-08 09:50:42] [Rank 0] step:7621/10000 train_time:656216ms step_avg:86.11ms +[2026-01-08 09:50:42] [Rank 0] step:7621/10000 train_time:656216ms step_avg:86.11ms +[2026-01-08 09:50:43] [Rank 0] step:7641/10000 train_time:658033ms step_avg:86.12ms +[2026-01-08 09:50:43] [Rank 0] step:7641/10000 train_time:658033ms step_avg:86.12ms +[2026-01-08 09:50:45] [Rank 0] step:7661/10000 train_time:659855ms step_avg:86.13ms +[2026-01-08 09:50:45] [Rank 0] step:7661/10000 train_time:659855ms step_avg:86.13ms +[2026-01-08 09:50:47] [Rank 0] step:7681/10000 train_time:661669ms step_avg:86.14ms +[2026-01-08 09:50:47] [Rank 0] step:7681/10000 train_time:661669ms step_avg:86.14ms +[2026-01-08 09:50:49] [Rank 0] step:7701/10000 train_time:663614ms step_avg:86.17ms +[2026-01-08 09:50:49] [Rank 0] step:7701/10000 train_time:663614ms step_avg:86.17ms +[2026-01-08 09:50:51] [Rank 0] step:7721/10000 train_time:665607ms step_avg:86.21ms +[2026-01-08 09:50:51] [Rank 0] step:7721/10000 train_time:665607ms step_avg:86.21ms +[2026-01-08 09:50:53] [Rank 0] step:7741/10000 train_time:667422ms step_avg:86.22ms +[2026-01-08 09:50:53] [Rank 0] step:7741/10000 train_time:667422ms step_avg:86.22ms +[2026-01-08 09:50:55] [Rank 0] step:7761/10000 train_time:669251ms step_avg:86.23ms +[2026-01-08 09:50:55] [Rank 0] step:7761/10000 train_time:669251ms step_avg:86.23ms +[2026-01-08 09:50:56] [Rank 0] step:7781/10000 train_time:671071ms step_avg:86.24ms +[2026-01-08 09:50:56] [Rank 0] step:7781/10000 train_time:671071ms step_avg:86.24ms +[2026-01-08 09:50:58] [Rank 0] step:7801/10000 train_time:672902ms step_avg:86.26ms +[2026-01-08 09:50:58] [Rank 0] step:7801/10000 train_time:672902ms step_avg:86.26ms +[2026-01-08 09:51:00] [Rank 0] step:7821/10000 train_time:674715ms step_avg:86.27ms +[2026-01-08 09:51:00] [Rank 0] step:7821/10000 train_time:674715ms step_avg:86.27ms +[2026-01-08 09:51:02] [Rank 0] step:7841/10000 train_time:676527ms step_avg:86.28ms +[2026-01-08 09:51:02] [Rank 0] step:7841/10000 train_time:676527ms step_avg:86.28ms +[2026-01-08 09:51:04] [Rank 0] step:7861/10000 train_time:678357ms step_avg:86.29ms +[2026-01-08 09:51:04] [Rank 0] step:7861/10000 train_time:678357ms step_avg:86.29ms +[2026-01-08 09:51:06] [Rank 0] step:7881/10000 train_time:680185ms step_avg:86.31ms +[2026-01-08 09:51:06] [Rank 0] step:7881/10000 train_time:680185ms step_avg:86.31ms +[2026-01-08 09:51:07] [Rank 0] step:7901/10000 train_time:681999ms step_avg:86.32ms +[2026-01-08 09:51:07] [Rank 0] step:7901/10000 train_time:681999ms step_avg:86.32ms +[2026-01-08 09:51:09] [Rank 0] step:7921/10000 train_time:683825ms step_avg:86.33ms +[2026-01-08 09:51:09] [Rank 0] step:7921/10000 train_time:683825ms step_avg:86.33ms +[2026-01-08 09:51:11] [Rank 0] step:7941/10000 train_time:685654ms step_avg:86.34ms +[2026-01-08 09:51:11] [Rank 0] step:7941/10000 train_time:685654ms step_avg:86.34ms +[2026-01-08 09:51:13] [Rank 0] step:7961/10000 train_time:687478ms step_avg:86.36ms +[2026-01-08 09:51:13] [Rank 0] step:7961/10000 train_time:687478ms step_avg:86.36ms +[2026-01-08 09:51:15] [Rank 0] step:7981/10000 train_time:689289ms step_avg:86.37ms +[2026-01-08 09:51:15] [Rank 0] step:7981/10000 train_time:689289ms step_avg:86.37ms +[2026-01-08 09:51:16] [Rank 0] PRINT: [Validation @ Step 8000] Calculating base validation loss... +[2026-01-08 09:51:16] [Rank 0] PRINT: [Validation @ Step 8000] Calculating base validation loss... +[2026-01-08 09:51:17] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 8000] Starting MULTI-BATCH analysis... +[2026-01-08 09:51:17] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 8000] Starting MULTI-BATCH analysis... +[2026-01-08 09:51:17] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 09:51:17] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 10:15:06] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] λ_max:1.0503e+02 λ_min:-3.8412e+01 λ_mean:3.7210e+01 λ_median:3.7423e+01 pos/neg:87/13 time:1425.9s +[2026-01-08 10:15:06] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] λ_max:1.0503e+02 λ_min:-3.8412e+01 λ_mean:3.7210e+01 λ_median:3.7423e+01 pos/neg:87/13 time:1425.9s +[2026-01-08 10:15:06] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Top-5 eigenvalues (outliers): [105.02885624865229, 100.05240625627512, 94.48454237708994, 94.2364362612901, 91.84863040803042] +[2026-01-08 10:15:06] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Top-5 eigenvalues (outliers): [105.02885624865229, 100.05240625627512, 94.48454237708994, 94.2364362612901, 91.84863040803042] +[2026-01-08 10:15:46] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Multi-batch analysis complete, resuming training... +[2026-01-08 10:15:46] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Multi-batch analysis complete, resuming training... +[2026-01-08 10:15:46] [Rank 0] PRINT: step:8000/10000 val_loss:3.5399 train_time:691112ms step_avg:86.39ms +[2026-01-08 10:15:46] [Rank 0] PRINT: step:8000/10000 val_loss:3.5399 train_time:691112ms step_avg:86.39ms +[2026-01-08 10:15:47] [Rank 0] step:8001/10000 train_time:691208ms step_avg:86.39ms +[2026-01-08 10:15:47] [Rank 0] step:8001/10000 train_time:691208ms step_avg:86.39ms +[2026-01-08 10:15:48] [Rank 0] step:8021/10000 train_time:692951ms step_avg:86.39ms +[2026-01-08 10:15:48] [Rank 0] step:8021/10000 train_time:692951ms step_avg:86.39ms +[2026-01-08 10:15:50] [Rank 0] step:8041/10000 train_time:694773ms step_avg:86.40ms +[2026-01-08 10:15:50] [Rank 0] step:8041/10000 train_time:694773ms step_avg:86.40ms +[2026-01-08 10:15:52] [Rank 0] step:8061/10000 train_time:696586ms step_avg:86.41ms +[2026-01-08 10:15:52] [Rank 0] step:8061/10000 train_time:696586ms step_avg:86.41ms +[2026-01-08 10:15:54] [Rank 0] step:8081/10000 train_time:698387ms step_avg:86.42ms +[2026-01-08 10:15:54] [Rank 0] step:8081/10000 train_time:698387ms step_avg:86.42ms +[2026-01-08 10:15:56] [Rank 0] step:8101/10000 train_time:700208ms step_avg:86.43ms +[2026-01-08 10:15:56] [Rank 0] step:8101/10000 train_time:700208ms step_avg:86.43ms +[2026-01-08 10:15:57] [Rank 0] step:8121/10000 train_time:702022ms step_avg:86.45ms +[2026-01-08 10:15:57] [Rank 0] step:8121/10000 train_time:702022ms step_avg:86.45ms +[2026-01-08 10:16:00] [Rank 0] step:8141/10000 train_time:704530ms step_avg:86.54ms +[2026-01-08 10:16:00] [Rank 0] step:8141/10000 train_time:704530ms step_avg:86.54ms +[2026-01-08 10:16:02] [Rank 0] step:8161/10000 train_time:706365ms step_avg:86.55ms +[2026-01-08 10:16:02] [Rank 0] step:8161/10000 train_time:706365ms step_avg:86.55ms +[2026-01-08 10:16:04] [Rank 0] step:8181/10000 train_time:708211ms step_avg:86.57ms +[2026-01-08 10:16:04] [Rank 0] step:8181/10000 train_time:708211ms step_avg:86.57ms +[2026-01-08 10:16:05] [Rank 0] step:8201/10000 train_time:710086ms step_avg:86.59ms +[2026-01-08 10:16:05] [Rank 0] step:8201/10000 train_time:710086ms step_avg:86.59ms +[2026-01-08 10:16:07] [Rank 0] step:8221/10000 train_time:712067ms step_avg:86.62ms +[2026-01-08 10:16:07] [Rank 0] step:8221/10000 train_time:712067ms step_avg:86.62ms +[2026-01-08 10:16:09] [Rank 0] step:8241/10000 train_time:713995ms step_avg:86.64ms +[2026-01-08 10:16:09] [Rank 0] step:8241/10000 train_time:713995ms step_avg:86.64ms +[2026-01-08 10:16:11] [Rank 0] step:8261/10000 train_time:715849ms step_avg:86.65ms +[2026-01-08 10:16:11] [Rank 0] step:8261/10000 train_time:715849ms step_avg:86.65ms +[2026-01-08 10:16:13] [Rank 0] step:8281/10000 train_time:717695ms step_avg:86.67ms +[2026-01-08 10:16:13] [Rank 0] step:8281/10000 train_time:717695ms step_avg:86.67ms +[2026-01-08 10:16:15] [Rank 0] step:8301/10000 train_time:719546ms step_avg:86.68ms +[2026-01-08 10:16:15] [Rank 0] step:8301/10000 train_time:719546ms step_avg:86.68ms +[2026-01-08 10:16:17] [Rank 0] step:8321/10000 train_time:721385ms step_avg:86.69ms +[2026-01-08 10:16:17] [Rank 0] step:8321/10000 train_time:721385ms step_avg:86.69ms +[2026-01-08 10:16:19] [Rank 0] step:8341/10000 train_time:723241ms step_avg:86.71ms +[2026-01-08 10:16:19] [Rank 0] step:8341/10000 train_time:723241ms step_avg:86.71ms +[2026-01-08 10:16:20] [Rank 0] step:8361/10000 train_time:725091ms step_avg:86.72ms +[2026-01-08 10:16:20] [Rank 0] step:8361/10000 train_time:725091ms step_avg:86.72ms +[2026-01-08 10:16:22] [Rank 0] step:8381/10000 train_time:726934ms step_avg:86.74ms +[2026-01-08 10:16:22] [Rank 0] step:8381/10000 train_time:726934ms step_avg:86.74ms +[2026-01-08 10:16:24] [Rank 0] step:8401/10000 train_time:728780ms step_avg:86.75ms +[2026-01-08 10:16:24] [Rank 0] step:8401/10000 train_time:728780ms step_avg:86.75ms +[2026-01-08 10:16:26] [Rank 0] step:8421/10000 train_time:730624ms step_avg:86.76ms +[2026-01-08 10:16:26] [Rank 0] step:8421/10000 train_time:730624ms step_avg:86.76ms +[2026-01-08 10:16:28] [Rank 0] step:8441/10000 train_time:732475ms step_avg:86.78ms +[2026-01-08 10:16:28] [Rank 0] step:8441/10000 train_time:732475ms step_avg:86.78ms +[2026-01-08 10:16:30] [Rank 0] step:8461/10000 train_time:734317ms step_avg:86.79ms +[2026-01-08 10:16:30] [Rank 0] step:8461/10000 train_time:734317ms step_avg:86.79ms +[2026-01-08 10:16:32] [Rank 0] step:8481/10000 train_time:736172ms step_avg:86.80ms +[2026-01-08 10:16:32] [Rank 0] step:8481/10000 train_time:736172ms step_avg:86.80ms +[2026-01-08 10:16:33] [Rank 0] PRINT: [Validation @ Step 8500] Calculating base validation loss... +[2026-01-08 10:16:33] [Rank 0] PRINT: [Validation @ Step 8500] Calculating base validation loss... +[2026-01-08 10:16:34] [Rank 0] PRINT: step:8500/10000 val_loss:3.5349 train_time:738043ms step_avg:86.83ms +[2026-01-08 10:16:34] [Rank 0] PRINT: step:8500/10000 val_loss:3.5349 train_time:738043ms step_avg:86.83ms +[2026-01-08 10:16:34] [Rank 0] step:8501/10000 train_time:738069ms step_avg:86.82ms +[2026-01-08 10:16:34] [Rank 0] step:8501/10000 train_time:738069ms step_avg:86.82ms +[2026-01-08 10:16:36] [Rank 0] step:8521/10000 train_time:739894ms step_avg:86.83ms +[2026-01-08 10:16:36] [Rank 0] step:8521/10000 train_time:739894ms step_avg:86.83ms +[2026-01-08 10:16:38] [Rank 0] step:8541/10000 train_time:741761ms step_avg:86.85ms +[2026-01-08 10:16:38] [Rank 0] step:8541/10000 train_time:741761ms step_avg:86.85ms +[2026-01-08 10:16:39] [Rank 0] step:8561/10000 train_time:743616ms step_avg:86.86ms +[2026-01-08 10:16:39] [Rank 0] step:8561/10000 train_time:743616ms step_avg:86.86ms +[2026-01-08 10:16:41] [Rank 0] step:8581/10000 train_time:745469ms step_avg:86.87ms +[2026-01-08 10:16:41] [Rank 0] step:8581/10000 train_time:745469ms step_avg:86.87ms +[2026-01-08 10:16:43] [Rank 0] step:8601/10000 train_time:747313ms step_avg:86.89ms +[2026-01-08 10:16:43] [Rank 0] step:8601/10000 train_time:747313ms step_avg:86.89ms +[2026-01-08 10:16:45] [Rank 0] step:8621/10000 train_time:749168ms step_avg:86.90ms +[2026-01-08 10:16:45] [Rank 0] step:8621/10000 train_time:749168ms step_avg:86.90ms +[2026-01-08 10:16:47] [Rank 0] step:8641/10000 train_time:751016ms step_avg:86.91ms +[2026-01-08 10:16:47] [Rank 0] step:8641/10000 train_time:751016ms step_avg:86.91ms +[2026-01-08 10:16:49] [Rank 0] step:8661/10000 train_time:752865ms step_avg:86.93ms +[2026-01-08 10:16:49] [Rank 0] step:8661/10000 train_time:752865ms step_avg:86.93ms +[2026-01-08 10:16:51] [Rank 0] step:8681/10000 train_time:754717ms step_avg:86.94ms +[2026-01-08 10:16:51] [Rank 0] step:8681/10000 train_time:754717ms step_avg:86.94ms +[2026-01-08 10:16:52] [Rank 0] step:8701/10000 train_time:756556ms step_avg:86.95ms +[2026-01-08 10:16:52] [Rank 0] step:8701/10000 train_time:756556ms step_avg:86.95ms +[2026-01-08 10:16:54] [Rank 0] step:8721/10000 train_time:758409ms step_avg:86.96ms +[2026-01-08 10:16:54] [Rank 0] step:8721/10000 train_time:758409ms step_avg:86.96ms +[2026-01-08 10:16:56] [Rank 0] step:8741/10000 train_time:760249ms step_avg:86.98ms +[2026-01-08 10:16:56] [Rank 0] step:8741/10000 train_time:760249ms step_avg:86.98ms +[2026-01-08 10:16:58] [Rank 0] step:8761/10000 train_time:762096ms step_avg:86.99ms +[2026-01-08 10:16:58] [Rank 0] step:8761/10000 train_time:762096ms step_avg:86.99ms +[2026-01-08 10:17:00] [Rank 0] step:8781/10000 train_time:763950ms step_avg:87.00ms +[2026-01-08 10:17:00] [Rank 0] step:8781/10000 train_time:763950ms step_avg:87.00ms +[2026-01-08 10:17:02] [Rank 0] step:8801/10000 train_time:765800ms step_avg:87.01ms +[2026-01-08 10:17:02] [Rank 0] step:8801/10000 train_time:765800ms step_avg:87.01ms +[2026-01-08 10:17:04] [Rank 0] step:8821/10000 train_time:767645ms step_avg:87.02ms +[2026-01-08 10:17:04] [Rank 0] step:8821/10000 train_time:767645ms step_avg:87.02ms +[2026-01-08 10:17:05] [Rank 0] step:8841/10000 train_time:769516ms step_avg:87.04ms +[2026-01-08 10:17:05] [Rank 0] step:8841/10000 train_time:769516ms step_avg:87.04ms +[2026-01-08 10:17:07] [Rank 0] step:8861/10000 train_time:771358ms step_avg:87.05ms +[2026-01-08 10:17:07] [Rank 0] step:8861/10000 train_time:771358ms step_avg:87.05ms +[2026-01-08 10:17:09] [Rank 0] step:8881/10000 train_time:773209ms step_avg:87.06ms +[2026-01-08 10:17:09] [Rank 0] step:8881/10000 train_time:773209ms step_avg:87.06ms +[2026-01-08 10:17:11] [Rank 0] step:8901/10000 train_time:775145ms step_avg:87.09ms +[2026-01-08 10:17:11] [Rank 0] step:8901/10000 train_time:775145ms step_avg:87.09ms +[2026-01-08 10:17:13] [Rank 0] step:8921/10000 train_time:777111ms step_avg:87.11ms +[2026-01-08 10:17:13] [Rank 0] step:8921/10000 train_time:777111ms step_avg:87.11ms +[2026-01-08 10:17:15] [Rank 0] step:8941/10000 train_time:778962ms step_avg:87.12ms +[2026-01-08 10:17:15] [Rank 0] step:8941/10000 train_time:778962ms step_avg:87.12ms +[2026-01-08 10:17:17] [Rank 0] step:8961/10000 train_time:780809ms step_avg:87.13ms +[2026-01-08 10:17:17] [Rank 0] step:8961/10000 train_time:780809ms step_avg:87.13ms +[2026-01-08 10:17:19] [Rank 0] step:8981/10000 train_time:782655ms step_avg:87.15ms +[2026-01-08 10:17:19] [Rank 0] step:8981/10000 train_time:782655ms step_avg:87.15ms +[2026-01-08 10:17:20] [Rank 0] PRINT: [Validation @ Step 9000] Calculating base validation loss... +[2026-01-08 10:17:20] [Rank 0] PRINT: [Validation @ Step 9000] Calculating base validation loss... +[2026-01-08 10:17:21] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 9000] Starting MULTI-BATCH analysis... +[2026-01-08 10:17:21] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 9000] Starting MULTI-BATCH analysis... +[2026-01-08 10:17:21] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 10:17:21] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches diff --git a/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/hessian_spectrum/hessian_full_batch_step_10000.json b/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/hessian_spectrum/hessian_full_batch_step_10000.json new file mode 100644 index 0000000000000000000000000000000000000000..f4e45a19d68ae96f5aaaac94aec7940151d3cb6a --- /dev/null +++ b/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/hessian_spectrum/hessian_full_batch_step_10000.json @@ -0,0 +1,100264 @@ +{ + 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8.068542619982333e-23, + 1.5980177490168326e-28, + 3.7811507327188065e-35, + 1.0688635644878877e-42, + 3.6097443570347166e-51, + 1.4564195833740492e-60, + 7.020248159691024e-71, + 4.042726016082046e-82, + 2.7813269562947776e-94, + 2.286049716729664e-107, + 2.2447872555512132e-121, + 2.6334228251427773e-136, + 3.6908117422129244e-152, + 6.179866342443869e-169, + 1.2362097419124314e-186, + 2.9543444694963934e-205, + 8.43501758405462e-225, + 2.877178083263161e-245, + 1.1724744439973762e-266, + 5.708157105933792e-289, + 3.320047833765e-312, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0, + 0.0 + ], + "largest_eigenvalue": 236.21548297949224, + "smallest_eigenvalue": -9.858582523286579, + "mean_eigenvalue": 98.77026596367705, + "median_eigenvalue": 47.990467953014566, + "num_positive": 95, + "num_negative": 5, + "top_10_eigenvalues": [ + 236.21548297949224, + 230.15589411066577, + 227.13584311943976, + 226.49306507528888, + 224.79568658085165, + 220.91996408021322, + 220.762716758398, + 220.4238416989239, + 219.69456265697113, + 219.5081306626432 + ], + "bottom_10_eigenvalues": [ + -9.858582523286579, + -1.6316550465691306, + -0.9704925368786368, + -0.3954452747107581, + -2.252660227569446e-06, + 5.152478649189179e-08, + 1.7538082789788818e-07, + 2.214145851881769e-07, + 3.018953439901492e-07, + 0.0024606383709282428 + ], + "computation_time": 1432.4212803840637, + "num_random_vectors": 5, + "lanczos_iterations": 20, + "sigma": 0.00316 +} \ No newline at end of file diff --git a/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/hessian_spectrum/hessian_full_batch_step_9000.png b/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/hessian_spectrum/hessian_full_batch_step_9000.png new file mode 100644 index 0000000000000000000000000000000000000000..041931b01580b98528b58a0511691cb9a1376169 --- /dev/null +++ b/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/hessian_spectrum/hessian_full_batch_step_9000.png @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:92ae9f2f72f41ef5a02e5d1344827ebe0079d79313a8aaf483542f25f004c275 +size 260344 diff --git a/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/training_log_8cd96b76-d661-4993-942b-a3817c44c0dd.txt b/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/training_log_8cd96b76-d661-4993-942b-a3817c44c0dd.txt index d6897d468f71a3349106bcb3e08c9afea14d5528..6a38c7c8bdb196dbe0dd0626ca5ae766e3c1f671 100644 --- a/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/training_log_8cd96b76-d661-4993-942b-a3817c44c0dd.txt +++ b/logs_hessian_clean/diff_modes_new_code/mode_5_param_qkvo_seed_42/training_log_8cd96b76-d661-4993-942b-a3817c44c0dd.txt @@ -3146,3 +3146,253 @@ if dist.is_initialized(): [2026-01-08 04:56:54] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 8000] Starting MULTI-BATCH analysis... [2026-01-08 04:56:54] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches [2026-01-08 04:56:54] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 05:20:44] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] λ_max:2.8779e+02 λ_min:-7.0886e+01 λ_mean:9.4542e+01 λ_median:4.7732e+01 pos/neg:87/13 time:1426.4s +[2026-01-08 05:20:44] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] λ_max:2.8779e+02 λ_min:-7.0886e+01 λ_mean:9.4542e+01 λ_median:4.7732e+01 pos/neg:87/13 time:1426.4s +[2026-01-08 05:20:44] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Top-5 eigenvalues (outliers): [287.7926577845289, 277.95172280491516, 264.10843579598827, 255.194399673578, 235.41631649390857] +[2026-01-08 05:20:44] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Top-5 eigenvalues (outliers): [287.7926577845289, 277.95172280491516, 264.10843579598827, 255.194399673578, 235.41631649390857] +[2026-01-08 05:21:11] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Multi-batch analysis complete, resuming training... +[2026-01-08 05:21:11] [Rank 0] PRINT: [Hessian Spectrum @ Step 8000] Multi-batch analysis complete, resuming training... +[2026-01-08 05:21:11] [Rank 0] PRINT: step:8000/10000 val_loss:3.9539 train_time:616537ms step_avg:77.07ms +[2026-01-08 05:21:11] [Rank 0] PRINT: step:8000/10000 val_loss:3.9539 train_time:616537ms step_avg:77.07ms +[2026-01-08 05:21:11] [Rank 0] step:8001/10000 train_time:616547ms step_avg:77.06ms +[2026-01-08 05:21:11] [Rank 0] step:8001/10000 train_time:616547ms step_avg:77.06ms +[2026-01-08 05:21:13] [Rank 0] step:8021/10000 train_time:617839ms step_avg:77.03ms +[2026-01-08 05:21:13] [Rank 0] step:8021/10000 train_time:617839ms step_avg:77.03ms +[2026-01-08 05:21:15] [Rank 0] step:8041/10000 train_time:619493ms step_avg:77.04ms +[2026-01-08 05:21:15] [Rank 0] step:8041/10000 train_time:619493ms step_avg:77.04ms +[2026-01-08 05:21:16] [Rank 0] step:8061/10000 train_time:621128ms step_avg:77.05ms +[2026-01-08 05:21:16] [Rank 0] step:8061/10000 train_time:621128ms step_avg:77.05ms +[2026-01-08 05:21:18] [Rank 0] step:8081/10000 train_time:622761ms step_avg:77.06ms +[2026-01-08 05:21:18] [Rank 0] step:8081/10000 train_time:622761ms step_avg:77.06ms +[2026-01-08 05:21:19] [Rank 0] step:8101/10000 train_time:624416ms step_avg:77.08ms +[2026-01-08 05:21:19] [Rank 0] step:8101/10000 train_time:624416ms step_avg:77.08ms +[2026-01-08 05:21:21] [Rank 0] step:8121/10000 train_time:626051ms step_avg:77.09ms +[2026-01-08 05:21:21] [Rank 0] step:8121/10000 train_time:626051ms step_avg:77.09ms +[2026-01-08 05:21:23] [Rank 0] step:8141/10000 train_time:627696ms step_avg:77.10ms +[2026-01-08 05:21:23] [Rank 0] step:8141/10000 train_time:627696ms step_avg:77.10ms +[2026-01-08 05:21:25] [Rank 0] step:8161/10000 train_time:629667ms step_avg:77.16ms +[2026-01-08 05:21:25] [Rank 0] step:8161/10000 train_time:629667ms step_avg:77.16ms +[2026-01-08 05:21:26] [Rank 0] step:8181/10000 train_time:631347ms step_avg:77.17ms +[2026-01-08 05:21:26] [Rank 0] step:8181/10000 train_time:631347ms step_avg:77.17ms +[2026-01-08 05:21:28] [Rank 0] step:8201/10000 train_time:633050ms step_avg:77.19ms +[2026-01-08 05:21:28] [Rank 0] step:8201/10000 train_time:633050ms step_avg:77.19ms +[2026-01-08 05:21:30] [Rank 0] step:8221/10000 train_time:634732ms step_avg:77.21ms +[2026-01-08 05:21:30] [Rank 0] step:8221/10000 train_time:634732ms step_avg:77.21ms +[2026-01-08 05:21:31] [Rank 0] step:8241/10000 train_time:636414ms step_avg:77.23ms +[2026-01-08 05:21:31] [Rank 0] step:8241/10000 train_time:636414ms step_avg:77.23ms +[2026-01-08 05:21:33] [Rank 0] step:8261/10000 train_time:638087ms step_avg:77.24ms +[2026-01-08 05:21:33] [Rank 0] step:8261/10000 train_time:638087ms step_avg:77.24ms +[2026-01-08 05:21:35] [Rank 0] step:8281/10000 train_time:639765ms step_avg:77.26ms +[2026-01-08 05:21:35] [Rank 0] step:8281/10000 train_time:639765ms step_avg:77.26ms +[2026-01-08 05:21:37] [Rank 0] step:8301/10000 train_time:641432ms step_avg:77.27ms +[2026-01-08 05:21:37] [Rank 0] step:8301/10000 train_time:641432ms step_avg:77.27ms +[2026-01-08 05:21:38] [Rank 0] step:8321/10000 train_time:643103ms step_avg:77.29ms +[2026-01-08 05:21:38] [Rank 0] step:8321/10000 train_time:643103ms step_avg:77.29ms +[2026-01-08 05:21:40] [Rank 0] step:8341/10000 train_time:644766ms step_avg:77.30ms +[2026-01-08 05:21:40] [Rank 0] step:8341/10000 train_time:644766ms step_avg:77.30ms +[2026-01-08 05:21:42] [Rank 0] step:8361/10000 train_time:646456ms step_avg:77.32ms +[2026-01-08 05:21:42] [Rank 0] step:8361/10000 train_time:646456ms step_avg:77.32ms +[2026-01-08 05:21:43] [Rank 0] step:8381/10000 train_time:648130ms step_avg:77.33ms +[2026-01-08 05:21:43] [Rank 0] step:8381/10000 train_time:648130ms step_avg:77.33ms +[2026-01-08 05:21:45] [Rank 0] step:8401/10000 train_time:649807ms step_avg:77.35ms +[2026-01-08 05:21:45] [Rank 0] step:8401/10000 train_time:649807ms step_avg:77.35ms +[2026-01-08 05:21:47] [Rank 0] step:8421/10000 train_time:651465ms step_avg:77.36ms +[2026-01-08 05:21:47] [Rank 0] step:8421/10000 train_time:651465ms step_avg:77.36ms +[2026-01-08 05:21:48] [Rank 0] step:8441/10000 train_time:653135ms step_avg:77.38ms +[2026-01-08 05:21:48] [Rank 0] step:8441/10000 train_time:653135ms step_avg:77.38ms +[2026-01-08 05:21:50] [Rank 0] step:8461/10000 train_time:654802ms step_avg:77.39ms +[2026-01-08 05:21:50] [Rank 0] step:8461/10000 train_time:654802ms step_avg:77.39ms +[2026-01-08 05:21:52] [Rank 0] step:8481/10000 train_time:656486ms step_avg:77.41ms +[2026-01-08 05:21:52] [Rank 0] step:8481/10000 train_time:656486ms step_avg:77.41ms +[2026-01-08 05:21:53] [Rank 0] PRINT: [Validation @ Step 8500] Calculating base validation loss... +[2026-01-08 05:21:53] [Rank 0] PRINT: [Validation @ Step 8500] Calculating base validation loss... +[2026-01-08 05:21:54] [Rank 0] PRINT: step:8500/10000 val_loss:4.0223 train_time:658535ms step_avg:77.47ms +[2026-01-08 05:21:54] [Rank 0] PRINT: step:8500/10000 val_loss:4.0223 train_time:658535ms step_avg:77.47ms +[2026-01-08 05:21:54] [Rank 0] step:8501/10000 train_time:658545ms step_avg:77.47ms +[2026-01-08 05:21:54] [Rank 0] step:8501/10000 train_time:658545ms step_avg:77.47ms +[2026-01-08 05:21:55] [Rank 0] step:8521/10000 train_time:659862ms step_avg:77.44ms +[2026-01-08 05:21:55] [Rank 0] step:8521/10000 train_time:659862ms step_avg:77.44ms +[2026-01-08 05:21:57] [Rank 0] step:8541/10000 train_time:661544ms step_avg:77.46ms +[2026-01-08 05:21:57] [Rank 0] step:8541/10000 train_time:661544ms step_avg:77.46ms +[2026-01-08 05:21:59] [Rank 0] step:8561/10000 train_time:663222ms step_avg:77.47ms +[2026-01-08 05:21:59] [Rank 0] step:8561/10000 train_time:663222ms step_avg:77.47ms +[2026-01-08 05:22:00] [Rank 0] step:8581/10000 train_time:664950ms step_avg:77.49ms +[2026-01-08 05:22:00] [Rank 0] step:8581/10000 train_time:664950ms step_avg:77.49ms +[2026-01-08 05:22:02] [Rank 0] step:8601/10000 train_time:666614ms step_avg:77.50ms +[2026-01-08 05:22:02] [Rank 0] step:8601/10000 train_time:666614ms step_avg:77.50ms +[2026-01-08 05:22:04] [Rank 0] step:8621/10000 train_time:668298ms step_avg:77.52ms +[2026-01-08 05:22:04] [Rank 0] step:8621/10000 train_time:668298ms step_avg:77.52ms +[2026-01-08 05:22:05] [Rank 0] step:8641/10000 train_time:669967ms step_avg:77.53ms +[2026-01-08 05:22:05] [Rank 0] step:8641/10000 train_time:669967ms step_avg:77.53ms +[2026-01-08 05:22:07] [Rank 0] step:8661/10000 train_time:671639ms step_avg:77.55ms +[2026-01-08 05:22:07] [Rank 0] step:8661/10000 train_time:671639ms step_avg:77.55ms +[2026-01-08 05:22:09] [Rank 0] step:8681/10000 train_time:673316ms step_avg:77.56ms +[2026-01-08 05:22:09] [Rank 0] step:8681/10000 train_time:673316ms step_avg:77.56ms +[2026-01-08 05:22:11] [Rank 0] step:8701/10000 train_time:674983ms step_avg:77.58ms +[2026-01-08 05:22:11] [Rank 0] step:8701/10000 train_time:674983ms step_avg:77.58ms +[2026-01-08 05:22:12] [Rank 0] step:8721/10000 train_time:676660ms step_avg:77.59ms +[2026-01-08 05:22:12] [Rank 0] step:8721/10000 train_time:676660ms step_avg:77.59ms +[2026-01-08 05:22:14] [Rank 0] step:8741/10000 train_time:678327ms step_avg:77.60ms +[2026-01-08 05:22:14] [Rank 0] step:8741/10000 train_time:678327ms step_avg:77.60ms +[2026-01-08 05:22:16] [Rank 0] step:8761/10000 train_time:679996ms step_avg:77.62ms +[2026-01-08 05:22:16] [Rank 0] step:8761/10000 train_time:679996ms step_avg:77.62ms +[2026-01-08 05:22:17] [Rank 0] step:8781/10000 train_time:681678ms step_avg:77.63ms +[2026-01-08 05:22:17] [Rank 0] step:8781/10000 train_time:681678ms step_avg:77.63ms +[2026-01-08 05:22:19] [Rank 0] step:8801/10000 train_time:683349ms step_avg:77.64ms +[2026-01-08 05:22:19] [Rank 0] step:8801/10000 train_time:683349ms step_avg:77.64ms +[2026-01-08 05:22:21] [Rank 0] step:8821/10000 train_time:685011ms step_avg:77.66ms +[2026-01-08 05:22:21] [Rank 0] step:8821/10000 train_time:685011ms step_avg:77.66ms +[2026-01-08 05:22:22] [Rank 0] step:8841/10000 train_time:686703ms step_avg:77.67ms +[2026-01-08 05:22:22] [Rank 0] step:8841/10000 train_time:686703ms step_avg:77.67ms +[2026-01-08 05:22:24] [Rank 0] step:8861/10000 train_time:688379ms step_avg:77.69ms +[2026-01-08 05:22:24] [Rank 0] step:8861/10000 train_time:688379ms step_avg:77.69ms +[2026-01-08 05:22:26] [Rank 0] step:8881/10000 train_time:690050ms step_avg:77.70ms +[2026-01-08 05:22:26] [Rank 0] step:8881/10000 train_time:690050ms step_avg:77.70ms +[2026-01-08 05:22:27] [Rank 0] step:8901/10000 train_time:691734ms step_avg:77.71ms +[2026-01-08 05:22:27] [Rank 0] step:8901/10000 train_time:691734ms step_avg:77.71ms +[2026-01-08 05:22:29] [Rank 0] step:8921/10000 train_time:693412ms step_avg:77.73ms +[2026-01-08 05:22:29] [Rank 0] step:8921/10000 train_time:693412ms step_avg:77.73ms +[2026-01-08 05:22:31] [Rank 0] step:8941/10000 train_time:695102ms step_avg:77.74ms +[2026-01-08 05:22:31] [Rank 0] step:8941/10000 train_time:695102ms step_avg:77.74ms +[2026-01-08 05:22:32] [Rank 0] step:8961/10000 train_time:696780ms step_avg:77.76ms +[2026-01-08 05:22:32] [Rank 0] step:8961/10000 train_time:696780ms step_avg:77.76ms +[2026-01-08 05:22:34] [Rank 0] step:8981/10000 train_time:698451ms step_avg:77.77ms +[2026-01-08 05:22:34] [Rank 0] step:8981/10000 train_time:698451ms step_avg:77.77ms +[2026-01-08 05:22:36] [Rank 0] PRINT: [Validation @ Step 9000] Calculating base validation loss... +[2026-01-08 05:22:36] [Rank 0] PRINT: [Validation @ Step 9000] Calculating base validation loss... +[2026-01-08 05:22:36] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 9000] Starting MULTI-BATCH analysis... +[2026-01-08 05:22:36] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 9000] Starting MULTI-BATCH analysis... +[2026-01-08 05:22:36] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 05:22:36] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 05:46:32] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] λ_max:2.3622e+02 λ_min:-9.8586e+00 λ_mean:9.8770e+01 λ_median:4.7990e+01 pos/neg:95/5 time:1432.4s +[2026-01-08 05:46:32] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] λ_max:2.3622e+02 λ_min:-9.8586e+00 λ_mean:9.8770e+01 λ_median:4.7990e+01 pos/neg:95/5 time:1432.4s +[2026-01-08 05:46:32] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Top-5 eigenvalues (outliers): [236.21548297949224, 230.15589411066577, 227.13584311943976, 226.49306507528888, 224.79568658085165] +[2026-01-08 05:46:32] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Top-5 eigenvalues (outliers): [236.21548297949224, 230.15589411066577, 227.13584311943976, 226.49306507528888, 224.79568658085165] +[2026-01-08 05:47:30] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Multi-batch analysis complete, resuming training... +[2026-01-08 05:47:30] [Rank 0] PRINT: [Hessian Spectrum @ Step 9000] Multi-batch analysis complete, resuming training... +[2026-01-08 05:47:30] [Rank 0] PRINT: step:9000/10000 val_loss:3.9117 train_time:700468ms step_avg:77.83ms +[2026-01-08 05:47:30] [Rank 0] PRINT: step:9000/10000 val_loss:3.9117 train_time:700468ms step_avg:77.83ms +[2026-01-08 05:47:30] [Rank 0] step:9001/10000 train_time:700479ms step_avg:77.82ms +[2026-01-08 05:47:30] [Rank 0] step:9001/10000 train_time:700479ms step_avg:77.82ms +[2026-01-08 05:47:31] [Rank 0] step:9021/10000 train_time:701785ms step_avg:77.79ms +[2026-01-08 05:47:31] [Rank 0] step:9021/10000 train_time:701785ms step_avg:77.79ms +[2026-01-08 05:47:33] [Rank 0] step:9041/10000 train_time:703456ms step_avg:77.81ms +[2026-01-08 05:47:33] [Rank 0] step:9041/10000 train_time:703456ms step_avg:77.81ms +[2026-01-08 05:47:35] [Rank 0] step:9061/10000 train_time:705140ms step_avg:77.82ms +[2026-01-08 05:47:35] [Rank 0] step:9061/10000 train_time:705140ms step_avg:77.82ms +[2026-01-08 05:47:37] [Rank 0] step:9081/10000 train_time:706821ms step_avg:77.84ms +[2026-01-08 05:47:37] [Rank 0] step:9081/10000 train_time:706821ms step_avg:77.84ms +[2026-01-08 05:47:38] [Rank 0] step:9101/10000 train_time:708533ms step_avg:77.85ms +[2026-01-08 05:47:38] [Rank 0] step:9101/10000 train_time:708533ms step_avg:77.85ms +[2026-01-08 05:47:40] [Rank 0] step:9121/10000 train_time:710204ms step_avg:77.86ms +[2026-01-08 05:47:40] [Rank 0] step:9121/10000 train_time:710204ms step_avg:77.86ms +[2026-01-08 05:47:42] [Rank 0] step:9141/10000 train_time:711870ms step_avg:77.88ms +[2026-01-08 05:47:42] [Rank 0] step:9141/10000 train_time:711870ms step_avg:77.88ms +[2026-01-08 05:47:43] [Rank 0] step:9161/10000 train_time:713533ms step_avg:77.89ms +[2026-01-08 05:47:43] [Rank 0] step:9161/10000 train_time:713533ms step_avg:77.89ms +[2026-01-08 05:47:45] [Rank 0] step:9181/10000 train_time:715238ms step_avg:77.90ms +[2026-01-08 05:47:45] [Rank 0] step:9181/10000 train_time:715238ms step_avg:77.90ms +[2026-01-08 05:47:47] [Rank 0] step:9201/10000 train_time:716911ms step_avg:77.92ms +[2026-01-08 05:47:47] [Rank 0] step:9201/10000 train_time:716911ms step_avg:77.92ms +[2026-01-08 05:47:48] [Rank 0] step:9221/10000 train_time:718604ms step_avg:77.93ms +[2026-01-08 05:47:48] [Rank 0] step:9221/10000 train_time:718604ms step_avg:77.93ms +[2026-01-08 05:47:50] [Rank 0] step:9241/10000 train_time:720282ms step_avg:77.94ms +[2026-01-08 05:47:50] [Rank 0] step:9241/10000 train_time:720282ms step_avg:77.94ms +[2026-01-08 05:47:52] [Rank 0] step:9261/10000 train_time:721982ms step_avg:77.96ms +[2026-01-08 05:47:52] [Rank 0] step:9261/10000 train_time:721982ms step_avg:77.96ms +[2026-01-08 05:47:53] [Rank 0] step:9281/10000 train_time:723649ms step_avg:77.97ms +[2026-01-08 05:47:53] [Rank 0] step:9281/10000 train_time:723649ms step_avg:77.97ms +[2026-01-08 05:47:55] [Rank 0] step:9301/10000 train_time:725324ms step_avg:77.98ms +[2026-01-08 05:47:55] [Rank 0] step:9301/10000 train_time:725324ms step_avg:77.98ms +[2026-01-08 05:47:57] [Rank 0] step:9321/10000 train_time:727005ms step_avg:78.00ms +[2026-01-08 05:47:57] [Rank 0] step:9321/10000 train_time:727005ms step_avg:78.00ms +[2026-01-08 05:47:58] [Rank 0] step:9341/10000 train_time:728681ms step_avg:78.01ms +[2026-01-08 05:47:58] [Rank 0] step:9341/10000 train_time:728681ms step_avg:78.01ms +[2026-01-08 05:48:00] [Rank 0] step:9361/10000 train_time:730358ms step_avg:78.02ms +[2026-01-08 05:48:00] [Rank 0] step:9361/10000 train_time:730358ms step_avg:78.02ms +[2026-01-08 05:48:02] [Rank 0] step:9381/10000 train_time:732055ms step_avg:78.04ms +[2026-01-08 05:48:02] [Rank 0] step:9381/10000 train_time:732055ms step_avg:78.04ms +[2026-01-08 05:48:03] [Rank 0] step:9401/10000 train_time:733739ms step_avg:78.05ms +[2026-01-08 05:48:03] [Rank 0] step:9401/10000 train_time:733739ms step_avg:78.05ms +[2026-01-08 05:48:05] [Rank 0] step:9421/10000 train_time:735417ms step_avg:78.06ms +[2026-01-08 05:48:05] [Rank 0] step:9421/10000 train_time:735417ms step_avg:78.06ms +[2026-01-08 05:48:07] [Rank 0] step:9441/10000 train_time:737091ms step_avg:78.07ms +[2026-01-08 05:48:07] [Rank 0] step:9441/10000 train_time:737091ms step_avg:78.07ms +[2026-01-08 05:48:08] [Rank 0] step:9461/10000 train_time:738786ms step_avg:78.09ms +[2026-01-08 05:48:08] [Rank 0] step:9461/10000 train_time:738786ms step_avg:78.09ms +[2026-01-08 05:48:10] [Rank 0] step:9481/10000 train_time:740468ms step_avg:78.10ms +[2026-01-08 05:48:10] [Rank 0] step:9481/10000 train_time:740468ms step_avg:78.10ms +[2026-01-08 05:48:12] [Rank 0] PRINT: [Validation @ Step 9500] Calculating base validation loss... +[2026-01-08 05:48:12] [Rank 0] PRINT: [Validation @ Step 9500] Calculating base validation loss... +[2026-01-08 05:48:12] [Rank 0] PRINT: step:9500/10000 val_loss:3.8955 train_time:742512ms step_avg:78.16ms +[2026-01-08 05:48:12] [Rank 0] PRINT: step:9500/10000 val_loss:3.8955 train_time:742512ms step_avg:78.16ms +[2026-01-08 05:48:12] [Rank 0] step:9501/10000 train_time:742521ms step_avg:78.15ms +[2026-01-08 05:48:12] [Rank 0] step:9501/10000 train_time:742521ms step_avg:78.15ms +[2026-01-08 05:48:14] [Rank 0] step:9521/10000 train_time:743828ms step_avg:78.13ms +[2026-01-08 05:48:14] [Rank 0] step:9521/10000 train_time:743828ms step_avg:78.13ms +[2026-01-08 05:48:16] [Rank 0] step:9541/10000 train_time:745503ms step_avg:78.14ms +[2026-01-08 05:48:16] [Rank 0] step:9541/10000 train_time:745503ms step_avg:78.14ms +[2026-01-08 05:48:17] [Rank 0] step:9561/10000 train_time:747167ms step_avg:78.15ms +[2026-01-08 05:48:17] [Rank 0] step:9561/10000 train_time:747167ms step_avg:78.15ms +[2026-01-08 05:48:19] [Rank 0] step:9581/10000 train_time:748845ms step_avg:78.16ms +[2026-01-08 05:48:19] [Rank 0] step:9581/10000 train_time:748845ms step_avg:78.16ms +[2026-01-08 05:48:21] [Rank 0] step:9601/10000 train_time:750537ms step_avg:78.17ms +[2026-01-08 05:48:21] [Rank 0] step:9601/10000 train_time:750537ms step_avg:78.17ms +[2026-01-08 05:48:22] [Rank 0] step:9621/10000 train_time:752212ms step_avg:78.18ms +[2026-01-08 05:48:22] [Rank 0] step:9621/10000 train_time:752212ms step_avg:78.18ms +[2026-01-08 05:48:24] [Rank 0] step:9641/10000 train_time:753899ms step_avg:78.20ms +[2026-01-08 05:48:24] [Rank 0] step:9641/10000 train_time:753899ms step_avg:78.20ms +[2026-01-08 05:48:26] [Rank 0] step:9661/10000 train_time:755606ms step_avg:78.21ms +[2026-01-08 05:48:26] [Rank 0] step:9661/10000 train_time:755606ms step_avg:78.21ms +[2026-01-08 05:48:27] [Rank 0] step:9681/10000 train_time:757308ms step_avg:78.23ms +[2026-01-08 05:48:27] [Rank 0] step:9681/10000 train_time:757308ms step_avg:78.23ms +[2026-01-08 05:48:29] [Rank 0] step:9701/10000 train_time:759017ms step_avg:78.24ms +[2026-01-08 05:48:29] [Rank 0] step:9701/10000 train_time:759017ms step_avg:78.24ms +[2026-01-08 05:48:31] [Rank 0] step:9721/10000 train_time:760719ms step_avg:78.26ms +[2026-01-08 05:48:31] [Rank 0] step:9721/10000 train_time:760719ms step_avg:78.26ms +[2026-01-08 05:48:33] [Rank 0] step:9741/10000 train_time:762443ms step_avg:78.27ms +[2026-01-08 05:48:33] [Rank 0] step:9741/10000 train_time:762443ms step_avg:78.27ms +[2026-01-08 05:48:34] [Rank 0] step:9761/10000 train_time:764152ms step_avg:78.29ms +[2026-01-08 05:48:34] [Rank 0] step:9761/10000 train_time:764152ms step_avg:78.29ms +[2026-01-08 05:48:36] [Rank 0] step:9781/10000 train_time:765881ms step_avg:78.30ms +[2026-01-08 05:48:36] [Rank 0] step:9781/10000 train_time:765881ms step_avg:78.30ms +[2026-01-08 05:48:38] [Rank 0] step:9801/10000 train_time:767585ms step_avg:78.32ms +[2026-01-08 05:48:38] [Rank 0] step:9801/10000 train_time:767585ms step_avg:78.32ms +[2026-01-08 05:48:39] [Rank 0] step:9821/10000 train_time:769296ms step_avg:78.33ms +[2026-01-08 05:48:39] [Rank 0] step:9821/10000 train_time:769296ms step_avg:78.33ms +[2026-01-08 05:48:41] [Rank 0] step:9841/10000 train_time:771015ms step_avg:78.35ms +[2026-01-08 05:48:41] [Rank 0] step:9841/10000 train_time:771015ms step_avg:78.35ms +[2026-01-08 05:48:43] [Rank 0] step:9861/10000 train_time:772723ms step_avg:78.36ms +[2026-01-08 05:48:43] [Rank 0] step:9861/10000 train_time:772723ms step_avg:78.36ms +[2026-01-08 05:48:45] [Rank 0] step:9881/10000 train_time:774420ms step_avg:78.37ms +[2026-01-08 05:48:45] [Rank 0] step:9881/10000 train_time:774420ms step_avg:78.37ms +[2026-01-08 05:48:46] [Rank 0] step:9901/10000 train_time:776126ms step_avg:78.39ms +[2026-01-08 05:48:46] [Rank 0] step:9901/10000 train_time:776126ms step_avg:78.39ms +[2026-01-08 05:48:48] [Rank 0] step:9921/10000 train_time:777833ms step_avg:78.40ms +[2026-01-08 05:48:48] [Rank 0] step:9921/10000 train_time:777833ms step_avg:78.40ms +[2026-01-08 05:48:50] [Rank 0] step:9941/10000 train_time:779546ms step_avg:78.42ms +[2026-01-08 05:48:50] [Rank 0] step:9941/10000 train_time:779546ms step_avg:78.42ms +[2026-01-08 05:48:51] [Rank 0] step:9961/10000 train_time:781242ms step_avg:78.43ms +[2026-01-08 05:48:51] [Rank 0] step:9961/10000 train_time:781242ms step_avg:78.43ms +[2026-01-08 05:48:53] [Rank 0] step:9981/10000 train_time:782941ms step_avg:78.44ms +[2026-01-08 05:48:53] [Rank 0] step:9981/10000 train_time:782941ms step_avg:78.44ms +[2026-01-08 05:48:55] [Rank 0] step:10000/10000 train_time:784574ms step_avg:78.46ms +[2026-01-08 05:48:55] [Rank 0] step:10000/10000 train_time:784574ms step_avg:78.46ms +[2026-01-08 05:48:55] [Rank 0] PRINT: [Validation @ Step 10000] Calculating base validation loss... +[2026-01-08 05:48:55] [Rank 0] PRINT: [Validation @ Step 10000] Calculating base validation loss... +[2026-01-08 05:48:55] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 10000] Starting MULTI-BATCH analysis... +[2026-01-08 05:48:55] [Rank 0] PRINT: [Rank 0] [Hessian @ Step 10000] Starting MULTI-BATCH analysis... +[2026-01-08 05:48:55] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 05:48:55] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] Computing 5 × 20 = 100 eigenvalue samples over 5 batches +[2026-01-08 06:12:48] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] λ_max:2.5232e+02 λ_min:-5.2234e+01 λ_mean:8.7292e+01 λ_median:4.6030e+01 pos/neg:89/11 time:1429.4s +[2026-01-08 06:12:48] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] λ_max:2.5232e+02 λ_min:-5.2234e+01 λ_mean:8.7292e+01 λ_median:4.6030e+01 pos/neg:89/11 time:1429.4s +[2026-01-08 06:12:48] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] Top-5 eigenvalues (outliers): [252.3197563592021, 235.1531665721107, 229.33005668233992, 220.28524046602504, 212.62716854871792] +[2026-01-08 06:12:48] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] Top-5 eigenvalues (outliers): [252.3197563592021, 235.1531665721107, 229.33005668233992, 220.28524046602504, 212.62716854871792] +[2026-01-08 06:14:40] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] Multi-batch analysis complete, resuming training... +[2026-01-08 06:14:40] [Rank 0] PRINT: [Hessian Spectrum @ Step 10000] Multi-batch analysis complete, resuming training... +[2026-01-08 06:14:40] [Rank 0] PRINT: step:10000/10000 val_loss:3.8843 train_time:785027ms step_avg:78.50ms +[2026-01-08 06:14:40] [Rank 0] PRINT: step:10000/10000 val_loss:3.8843 train_time:785027ms step_avg:78.50ms +[2026-01-08 06:14:40] [Rank 0] PRINT: --- Training Finished: Thu Jan 8 06:14:40 2026 --- +[2026-01-08 06:14:40] [Rank 0] PRINT: --- Training Finished: Thu Jan 8 06:14:40 2026 --- +[2026-01-08 06:14:40] [Rank 0] PRINT: Peak memory allocated: 64725 MiB reserved: 75666 MiB +[2026-01-08 06:14:40] [Rank 0] PRINT: Peak memory allocated: 64725 MiB reserved: 75666 MiB