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300
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float64
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279
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float64
0.37
0.94
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int64
0
53
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float64
230
1.62k
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float64
48.3
690
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float64
285
1.83k
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float64
1.14
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1.11
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2026-07-05 00:00:00
2026-07-17 00:00:00
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large_stringdate
2026-07-05 00:00:00
2026-07-17 00:00:00
Azure OpenAI
gpt-4.1-mini
GPQA-Diamond
Frontier
direct_reserve_semantic_frontier_v2
6
B
COMPLETE_VALIDATED_OFFLINE_FTA
198
0.520202
103
0.636364
0
1,140.141414
690.065657
1,830.207071
16.956997
14.943378
0.00156
0.308912
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
GPQA-Diamond
L1
external_l1_max
6
B
COMPLETE_VALIDATED_OFFLINE_FTA
198
0.530303
105
0.530303
1
815.818182
360.525253
1,176.343434
6.22688
4.637256
0.000903
0.178827
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
GPQA-Diamond
S1
external_s1_budget_forcing
6
B
COMPLETE_VALIDATED_OFFLINE_FTA
198
0.525253
104
0.525253
1
1,272.661616
354.646465
1,627.308081
6.503228
5.324481
0.001076
0.213147
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
GPQA-Diamond
TALE
external_tale_prompt_budgeting
6
B
COMPLETE_VALIDATED_OFFLINE_FTA
198
0.474747
94
0.474747
0
1,107.79798
394.505051
1,502.30303
6.776034
5.626587
0.001074
0.212717
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
GSM8K
Frontier
direct_reserve_semantic_frontier_v2
6
A
COMPLETE_VALIDATED
300
0.92
276
0.926667
0
633.996667
230.64
864.636667
7.360123
7.267491
0.005362
1.608477
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
GSM8K
L1
external_l1_max
6
A
COMPLETE_VALIDATED
300
0.896667
269
0.896667
0
623.57
163.226667
786.796667
3.492127
3.419347
0.004319
1.295733
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
GSM8K
S1
external_s1_budget_forcing
6
A
COMPLETE_VALIDATED
300
0.82
246
0.82
0
947.776667
225.893333
1,173.67
5.367899
5.223883
0.006232
1.869519
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
GSM8K
TALE
external_tale_prompt_budgeting
6
A
COMPLETE_VALIDATED
300
0.68
204
0.68
0
678.28
174.55
852.83
4.079385
3.786957
0.004653
1.395927
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
MATH-500
Frontier
direct_reserve_semantic_frontier_v2
6
B
COMPLETE_VALIDATED
300
0.556667
167
0.61
0
1,237.533333
555.936667
1,793.47
12.19327
10.910427
0.012052
3.615495
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
MATH-500
L1
external_l1_max
6
B
COMPLETE_VALIDATED
300
0.473333
142
0.473333
0
834.706667
315.52
1,150.226667
5.601206
4.224044
0.007237
2.171076
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
MATH-500
S1
external_s1_budget_forcing
6
B
COMPLETE_VALIDATED
300
0.536667
161
0.536667
0
1,147.853333
349.746667
1,497.6
7.343831
6.449483
0.00869
2.606928
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
MATH-500
TALE
external_tale_prompt_budgeting
6
B
COMPLETE_VALIDATED
300
0.373333
112
0.373333
0
638.966667
228.733333
867.7
4.228157
3.582315
0.005348
1.60437
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
StrategyQA
Frontier
direct_reserve_semantic_frontier_v2
6
B
COMPLETE_VALIDATED
100
0.7
70
0.76
0
417.4
91.11
508.51
4.73735
4.707197
0.000313
0.031274
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
StrategyQA
L1
external_l1_max
6
B
COMPLETE_VALIDATED
100
0.72
72
0.72
0
236.7
48.55
285.25
1.150868
1.124663
0.000172
0.017236
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
StrategyQA
S1
external_s1_budget_forcing
6
B
COMPLETE_VALIDATED
100
0.76
76
0.76
0
494.86
91.56
586.42
2.459196
2.439659
0.000344
0.034444
2026-07-17
2026-07-17
Azure OpenAI
gpt-4.1-mini
StrategyQA
TALE
external_tale_prompt_budgeting
6
B
COMPLETE_VALIDATED
100
0.74
74
0.74
0
240.7
48.26
288.96
1.14311
1.111531
0.000173
0.01735
2026-07-17
2026-07-17
Google Vertex Gemini
gemini-2.5-flash
GPQA-Diamond
Frontier
direct_reserve_semantic_frontier_v2
6
B
COMPLETE_VALIDATED
198
0.570707
113
0.636364
10
1,620.378788
190.489899
1,810.868687
38.304186
39.469368
0.007718
1.52826
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
GPQA-Diamond
L1
external_l1_max
6
B
COMPLETE_VALIDATED
198
0.535354
106
0.535354
35
1,118.575758
130.212121
1,248.787879
17.922161
7.985661
0.005309
1.051164
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
GPQA-Diamond
S1
external_s1_budget_forcing
6
B
COMPLETE_VALIDATED
198
0.545455
108
0.545455
53
1,502.621212
188.893939
1,691.515152
26.546241
20.136031
0.007341
1.453572
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
GPQA-Diamond
TALE
external_tale_prompt_budgeting
6
B
COMPLETE_VALIDATED
198
0.555556
110
0.555556
37
981.863636
118.040404
1,099.90404
17.368105
8.460269
0.004716
0.933807
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
GSM8K
Frontier
direct_reserve_semantic_frontier_v2
6
A
COMPLETE_VALIDATED
300
0.93
279
0.94
0
1,042.67
203.753333
1,246.423333
11.712673
10.136493
0.006184
1.855293
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
GSM8K
L1
external_l1_max
6
A
COMPLETE_VALIDATED
300
0.873333
262
0.873333
0
607.286667
122.466667
729.753333
3.7464
2.307566
0.003659
1.097658
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
GSM8K
S1
external_s1_budget_forcing
6
A
COMPLETE_VALIDATED
300
0.813333
244
0.813333
1
909.696667
197.363333
1,107.06
5.89319
5.376849
0.00569
1.706862
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
GSM8K
TALE
external_tale_prompt_budgeting
6
A
COMPLETE_VALIDATED
300
0.85
255
0.85
2
612.27
126.726667
738.996667
3.588948
1.970594
0.003738
1.121313
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
MATH-500
Frontier
direct_reserve_semantic_frontier_v2
6
B
COMPLETE_VALIDATED
300
0.723333
217
0.753333
3
779.55
158.76
938.31
21.154758
18.693144
0.00472
1.416015
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
MATH-500
L1
external_l1_max
6
B
COMPLETE_VALIDATED
300
0.733333
220
0.733333
17
449.94
98.633333
548.573333
6.614126
3.250712
0.002829
0.848796
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
MATH-500
S1
external_s1_budget_forcing
6
B
COMPLETE_VALIDATED
300
0.7
210
0.7
28
728.33
164.483333
892.813333
11.234898
6.80079
0.004652
1.395672
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
MATH-500
TALE
external_tale_prompt_budgeting
6
B
COMPLETE_VALIDATED
300
0.743333
223
0.743333
22
420.916667
90.203333
511.12
6.932432
3.275194
0.002616
0.78474
2026-07-05
2026-07-05
Google Vertex Gemini
gemini-2.5-flash
StrategyQA
Frontier
direct_reserve_semantic_frontier_v2
6
B
COMPLETE_VALIDATED
100
0.84
84
0.86
0
413.79
114.19
527.98
12.813646
10.852046
0.00041
0.040961
2026-07-17
2026-07-17
Google Vertex Gemini
gemini-2.5-flash
StrategyQA
L1
external_l1_max
6
B
COMPLETE_VALIDATED
100
0.82
82
0.82
0
230.46
56.8
287.26
3.368448
2.609018
0.000211
0.021114
2026-07-17
2026-07-17
Google Vertex Gemini
gemini-2.5-flash
StrategyQA
S1
external_s1_budget_forcing
6
B
COMPLETE_VALIDATED
100
0.83
83
0.83
1
497.27
113.05
610.32
5.465277
4.138262
0.000432
0.043181
2026-07-17
2026-07-17
Google Vertex Gemini
gemini-2.5-flash
StrategyQA
TALE
external_tale_prompt_budgeting
6
B
COMPLETE_VALIDATED
100
0.84
84
0.84
0
244.19
57.69
301.88
3.417069
2.534718
0.000217
0.021748
2026-07-17
2026-07-17

Frontier Allocation Metrics: Per-Query Cost, Latency, and Accuracy Outcomes for Budgeted Large-Language-Model (LLM) Inference

This is a metrics-only research dataset for budgeted LLM (Large Language Model) inference allocation experiments — that is, experiments that study how a fixed "budget" of inference calls should be spent across a search/retry process to trade off cost, latency, and accuracy. It contains sanitized per-query outcome measurements from matched-budget runs over two provider/model snapshots and four public reasoning benchmarks. It does not contain benchmark question text, answer text, prompts, raw model completions, API payloads, private endpoints, account metadata, or provider request identifiers.

Provenance in one line: derived evaluation metrics, generated by Soroush Vahidi, computed over publicly available third-party benchmarks (GSM8K, MATH-500, GPQA-Diamond, StrategyQA) and commercial provider outputs (Azure OpenAI, Google Vertex Gemini). The benchmark problem text and the raw provider completions themselves are not redistributed — see "Exclusions" below.

Current version: v1.1 (published 2026-08-16, Hugging Face revision b6367eb0…). v1.1 is a strictly additive update over v1 — see "Version History".

The planned canonical Hugging Face repository is SoroushVahidi/frontier-allocation-metrics.

What One Row Means

In per_query_outcomes, one row represents one evaluated method on one opaque benchmark example under one provider/model and a fixed budget of six logical inference calls. A row is not a prompt, response, or benchmark example; it is a compact outcome record with method, provider/model, benchmark, opaque example ID, token counts, latency, estimated cost, correctness, and validation metadata. The three other configs summarize, aggregate, or trace this same underlying run set at different levels of detail (see "Dataset Structure" below).

Dataset Size

Config Rows Description
per_query_outcomes 7,184 Primary method-level outcome table (one row per evaluated method × example × provider/model).
aggregate_matrix 32 Provider × model × benchmark × method summaries, recomputed directly from per_query_outcomes.
search_trace_summary 1,992 Per-run execution summary for Google Vertex Gemini runs (added in v1.1).
search_trace_nodes 3,092 Node-level, action-by-action search-tree traces (added in v1.1).

Total: 12,300 rows across 4 configs.

What Is Included

  • Providers/model snapshots: Azure OpenAI gpt-4.1-mini; Google Vertex Gemini gemini-2.5-flash.
  • Benchmarks: GSM8K, MATH-500, GPQA-Diamond, StrategyQA.
  • Methods: Frontier (direct_reserve_semantic_frontier_v2), L1 (external_l1_max), S1 (external_s1_budget_forcing), and TALE (external_tale_prompt_budgeting). The internal audit also tracked a Failure-Trace Allocator (FTA) method, but the public aggregate_matrix table is intentionally recomputed only from rows actually present in per_query_outcomes.
  • Sanitized per-query and per-search-node measurements: token counts, latency, estimated cost, correctness, and search-tree topology/priority signals — see the data dictionaries below.

What Is Not Included

  • Benchmark question text, answer text, or gold answers (for any of the four benchmarks).
  • Raw model prompts or completions.
  • API payloads, private endpoints, or provider account metadata.
  • Cohere and Fireworks provider rows — excluded from v1/v1.1 under a reduced scope adopted after provider-terms review. Fireworks × GPQA-Diamond additionally had protocol nonconvergence in the internal audit and is not represented as performance data at all.
  • Original GPQA-Diamond identifiers, question text, or answer choices — GPQA-Diamond rows use only opaque, project-local example identifiers.

Dataset Structure / Schema

per_query_outcomes (7,184 rows) and aggregate_matrix (32 rows)

Column Type Meaning
benchmark string Public benchmark name.
example_uid string Stable, release-local opaque example identifier generated by a private-key HMAC. Raw IDs and the mapping key are not distributed.
provider string Public provider label.
model string Public model/snapshot identifier.
method string Public method label: Frontier, L1, S1, or TALE.
method_source_id string Original implementation identifier, for reproducibility.
budget_logical_calls int64 Logical inference-call budget. All v1/v1.1 rows use 6 — not necessarily six raw HTTP requests.
input_tokens / output_tokens / total_tokens int64 Logged/estimated token counts.
latency_seconds float64 Logged method-level wall-clock latency, not a provider SLA figure.
estimated_cost_usd float64 Estimated USD cost from logged token usage and pricing assumptions — not an audited invoice.
exact_match bool Benchmark-normalized correctness indicator; gold answers are not released.
gold_in_tree bool Whether the gold answer appeared anywhere in the explored candidate set; the answer itself is not released.
parse_extraction_failure bool Whether answer extraction/parsing from the model output failed.
trust_tier / validation_status string Internal audit trust tier and validation status.
acquisition_date string Coarse YYYY-MM-DD run date.
source_cell_id string Public-safe provider/model/benchmark cell identifier (no filesystem paths).

aggregate_matrix has the same conceptual columns pre-aggregated to counts/rates/means per provider × model × benchmark × method cell (e.g. exact_match_rate, mean_latency_seconds, total_estimated_cost_usd) — see the live dataset card's full per-column listing for the exact aggregate schema.

search_trace_summary (1,992 rows) — added in v1.1

One row per executed run (joins to per_query_outcomes/search_trace_nodes via example_uid / trace_uid), restricted to Google Vertex Gemini on MATH-500 and GPQA-Diamond. Adds trace_uid (unique run identifier), has_trace (whether a search tree was actually expanded — true for Frontier and L1), and repeats the core outcome columns above for that run.

search_trace_nodes (3,092 rows) — added in v1.1

Node-level, action-by-action traces of the search tree for Frontier and L1 methods. Key columns: trace_uid (links to search_trace_summary), node_id/parent_node_id (anonymized tree identifiers), depth, action_type (expand or direct_reserve), and a set of float-valued search metrics (priority, continuation_value, diversity_bonus, duplicate_cost, coverage_gain, semantic_overlap, plausibility_score, base_priority_score), plus policy flags (force_explore, gate_intervened) and expansion_order. Fully text-free.

(Full per-column tables for all four configs, exactly as published, are in the live dataset card — reproduced above are the columns most researchers will use first.)

Quickstart

from datasets import load_dataset

# Primary per-query outcome table
outcomes = load_dataset("SoroushVahidi/frontier-allocation-metrics", "per_query_outcomes")
print(outcomes)

# Pre-aggregated provider x model x benchmark x method summary
aggregate = load_dataset("SoroushVahidi/frontier-allocation-metrics", "aggregate_matrix")
print(aggregate)

# v1.1 additions: search-tree traces (Google Vertex Gemini runs only)
trace_summary = load_dataset("SoroushVahidi/frontier-allocation-metrics", "search_trace_summary")
trace_nodes = load_dataset("SoroushVahidi/frontier-allocation-metrics", "search_trace_nodes")

Config names verified against the live README's configs: YAML block and the local publication record's config list; row counts verified against row_counts.json and the v1.1 publication record.

Research Use Cases

  • Reproducing the cost/accuracy/latency comparisons in the associated paper without rerunning paid provider API calls.
  • Studying cost, latency, and accuracy tradeoffs under a fixed inference-call budget, across methods and benchmarks.
  • Per-query method-selection / routing research (e.g., when does one budgeted-inference method outperform another, and under what token/latency profile).
  • Search-tree topology and stopping-behavior analysis using search_trace_summary / search_trace_nodes (branching factor, depth, priority-score distributions, gate_intervened triggers).

Not intended as a general model-quality leaderboard — see "Limitations".

Generation Methodology

Derived by running four budgeted-inference methods against four public reasoning benchmarks under two commercial provider/model snapshots, at a fixed logical-call budget of 6, then sanitizing and aggregating the resulting outcome logs (see the source repository's experiments/ and paper_performance_evaluation/ for the full protocol). Example identifiers are generated via a private-key HMAC so that individual benchmark items cannot be recovered from the release.

Provenance and Ownership

  • v1 (2 configs: per_query_outcomes, aggregate_matrix): generated by Soroush Vahidi from the frontier-allocation-for-budgeted-llm-inference source repository.
  • v1.1 additions (search_trace_summary, search_trace_nodes): also generated by Soroush Vahidi, over the same underlying runs, adding search-tree-level detail. The exact source-code commit that produced these two new configs could not be traced in the local frontier-allocation-for-budgeted-llm-inference git repository as of this audit — the repo's checked-out history predates the v1.1 publication date, and the object is not present in that repo or any other local repository checked. This is a documentation/traceability gap, not a data problem: the v1.1 Parquet files themselves are hash-verified against the published Hugging Face revision and passed the project's own security and source-integrity checks (security_result: PASS, source_integrity_result: PASS, gpqa_text_free_verification: PASS, from the local publication record). Until the exact commit is recovered, treat the code provenance of the v1.1 additions as unconfirmed while treating the data itself as verified-current.
  • Third-party inputs: GSM8K, MATH-500, GPQA-Diamond, StrategyQA (public benchmarks, not redistributed); Azure OpenAI and Google Vertex Gemini (commercial provider outputs, sanitized into metrics only).

Relationship to Related Datasets

  • SoroushVahidi/lafc-evict — cache-eviction candidate supervision; unrelated research problem.
  • SoroushVahidi/module-intervention-credit — LLM-serving scheduler module-intervention data; different task and schema.
  • SoroushVahidi/consistency-aware-judgments — pairwise LLM judgments for retrieval consistency; different representation and research question.
  • SoroushVahidi/scidocs — third-party BEIR/SciDocs mirror; no content overlap.
  • SoroushVahidi/lafc-evict-sample — synthetic workflow test artifact; unrelated.

Limitations

  • Point-in-time measurements from two specific provider/model snapshots and one fixed logical-call budget (6) — do not use as a general model-quality leaderboard.
  • estimated_cost_usd is a pipeline estimate from logged token usage, not an audited invoice.
  • latency_seconds may include client-side/runtime overhead, not a provider SLA figure.
  • Opaque example IDs are not benchmark IDs and should not be reverse-engineered.
  • The exact source commit for the v1.1 search_trace_* additions is not currently traceable locally (see "Provenance and Ownership" above) — a documentation gap the maintainer intends to close.

Version History

  • v1: per_query_outcomes, aggregate_matrix (2 configs).
  • v1.1 (2026-08-16, current): adds search_trace_summary, search_trace_nodes (2 new configs), strictly additive — no existing v1 values were altered (confirmed via matching hashes for the two original Parquet files between the v1 and v1.1 publication records).

Related Resources

Citation

Cite the dataset when using the released data; cite the paper when discussing the methodology or reported results; cite both when your work uses the data and relies on the methodology.

Dataset:

@dataset{vahidi2026_frontier_allocation_metrics,
  author    = {Vahidi, Soroush},
  title     = {Frontier Allocation Metrics: Per-Query Cost, Latency, and Accuracy Outcomes for Budgeted LLM Inference},
  year      = {2026},
  version   = {v1.1},
  publisher = {Hugging Face},
  url       = {https://huggingface.co/datasets/SoroushVahidi/frontier-allocation-metrics},
  license   = {CC-BY-4.0}
}

Paper:

@article{vahidi2026_selective_deferral,
  author = {Vahidi, Soroush},
  title  = {Selective Deferral for Budgeted LLM Answer Selection: Failure-Trace Signals under Matched-Budget Evaluation},
  year   = {2026},
  journal = {Research Square (preprint)},
  doi    = {10.21203/rs.3.rs-9783817/v1}
}

No dataset-specific DOI was found — only the paper's Research Square preprint DOI above is verified. If a dataset DOI is minted later (e.g. via a Zenodo/DataCite archive), add it here.

License

CC BY 4.0 for the released derived metrics. This license does not relicense provider APIs/models, prompts, raw model outputs, or the underlying benchmark text — follow the upstream terms for GSM8K, MATH-500, GPQA-Diamond, and StrategyQA if you combine this dataset with upstream benchmark material. Code in the associated source repository is separately licensed under the MIT License (see its CITATION.cff/LICENSE).

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