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int64
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hidden_size
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pco32

Throughput of distributed LLM training as a function of the parallelism configuration, on 32 GPUs across 8 hosts. Tabular benchmark for the bolt problem pco32: the 379 rows are the full candidate set.

  • Objective throughput_mean, to maximise. NaN where the run OOMed, since no throughput is observed at all -- a hidden (crash) constraint, not a bad value.
  • Constraint ran_successfully. 339 of 379 configurations run; the rest exhaust GPU memory. Feasibility is only learnable by attempting the run, so it cannot be decoupled from the objective.
  • Auxiliary peak_mem (GB, inf when infeasible), peak_mem_normalised (the run's own feasibility margin, < 0 iff feasible, a fixed pad value when infeasible) and overall_time (wall clock in seconds, NaN when infeasible).

peak_mem does not define the constraint: feasible runs here reach 88.5 GB, so no memory threshold separates the classes. peak_mem_normalised does, by construction.

Instance context

Constant for every row; these describe the instance, not the search space.

field value
num_layers 40
num_attention_heads 40
hidden_size 5120
ffn_hidden_size 17408
batch_size 512
seq_length 8192
log2_num_gpus 5
log2_num_hosts 3
log2_grad_accum_steps 0

Columns

The table is the raw sweep export, unchanged. Every knob halves or doubles, so the sizes arrive as log2_* and their levels are evenly spaced. zero_stage is the raw stage (0/2/3); bolt searches it as an ordinal 0/1/2.

column role meaning
log2_dp_size input log2 of data-parallel size
log2_tp_size input log2 of tensor-parallel size
log2_pp_size input log2 of pipeline-parallel size
log2_cp_size input log2 of context-parallel size
log2_sp_size input log2 of sequence-parallel size
log2_dp_bucket_size_mb input log2 of DDP gradient bucket size in MB
zero_stage input ZeRO stage, one of [0, 2, 3]
log2_num_model_chunks input log2 of number of model chunks
log2_grad_accum_steps context log2 of gradient accumulation steps
ran_successfully output ground-truth constraint label
throughput_mean output objective, NaN when infeasible
throughput_std output spread over the timed steps, NaN when infeasible
peak_mem_normalised output feasibility margin, < 0 iff feasible
overall_time output wall clock in seconds, NaN when infeasible
all_time_steps output per-step times, as a string list
peak_mem output peak GPU memory in GB, inf when infeasible
peak_mem_per_gpu output per-GPU peak memory, as a string list

Best observed

throughput_mean = 0.46958 at log2_dp_size=5, log2_tp_size=0, log2_pp_size=0, log2_cp_size=0, log2_sp_size=0, log2_dp_bucket_size_mb=8, zero_stage=2, log2_num_model_chunks=0 (peak memory 82.6 GB).

Provenance

data_40depth-32gpus.csv, converted to parquet unchanged.

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