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Research map / Large language models / Agents, code and math

Execution-based code verification

Verify and debug LLM-generated code using execution feedback, critics, and rigorous tests.

90 accepted papers at ICML, NeurIPS, ICLR, CVPR and AAAI (2019–2026) · an approach in Agents, code and math, keyword cluster “search · optimization · decision”

State History Tried Checklist Preprints Who Export

Where it stands

Not enough benchmark data Fewer than four papers report the same benchmark, so there is no record to follow.

36 papers in 2023–24 and 50 in 2025–26 (at ICML, NeurIPS, ICLR, CVPR and AAAI); its share of the topic shrank, from 9.9% to 4.0%.

How this is decided

A benchmark is tracked when at least four papers of this approach report their own method on the same dataset and metric in at least two different years. Its record is the best number reported up to 2024 compared with the best reported in 2025–26: still improving means at least 1% better, flat means at most 0.2% better with at least two papers from 2025–26 trying. Numbers on a different scale from the rest (a fraction among percentages) and far outliers are left out. Results come from different papers with different setups, so they are signals, not head-to-head comparisons. The share of papers is counted at ICML, NeurIPS, ICLR, CVPR and AAAI.

How it got here

2016: 0162017: 0172018: 0182019: 1192020: 1202021: 1212022: 1222023: 12232024: 24242025: 21252026: 2926

Most cited paper of each year

Earliest papers here

What has been tried

54 papers here report 575 measured changes (a component added, removed or swapped, compared with a baseline): helped 67%, no clear effect 5%, hurt 24%, mixed 4%. Papers mostly publish changes that helped, so "helped" is over-represented.

Ablations in recent papers

What was changedMeasured onResultEffectPaper
redo FSM preprocessing for each request instead of reusing the preprocessed state machine for a batchJSON decoding benchmark · throughput2.4× lowerHurtSGLang: Efficient Execution of Structured Language Model Programs (NeurIPS 2024 · 109 citations)
Use an Oracle retriever with Gorilla instead of no retrieverTorch Hub · accuracy59.13 -> 67.20HelpedGorilla: Large Language Model Connected with Massive APIs (NeurIPS 2024 · 93 citations)
remove search API and use LLM-generated evidence insteadAmbigNQ · F174.9 -> 67.3HurtCRITIC: Large Language Models Can Self-Correct with Tool-Interactive Critiquing (ICLR 2024 · 57 citations)
Add LLM-inferred source specificationsCWE-Bench-Java · #DetectedHelpedIRIS: LLM-Assisted Static Analysis for Detecting Security Vulnerabilities (ICLR 2025 · 17 citations)
Add synthesized source/sink extractors instead of directly prompting the LLMJuliet DBZ, XSS, and OSCI · precisionHelpedLLMDFA: Analyzing Dataflow in Code with Large Language Models (NeurIPS 2024 · 8 citations)
add AST-Aware Segmentation instead of Greedy SegmentationHumanEval · Pass@15.2 -> 7.2HelpedAST-T5: Structure-Aware Pretraining for Code Generation and Understanding (ICML 2024 · 7 citations)
add natural-language rationales during iterative trainingMBPP-R · pass@2571.8 -> 79.4HelpedNExT: Teaching Large Language Models to Reason about Code Execution (ICML 2024 · 6 citations)
use LLM samples directly without searchTensor · tasks solvedHurtHYSYNTH: Context-Free LLM Approximation for Guiding Program Synthesis (NeurIPS 2024 · 5 citations)
generate program summary and invariants together in one step instead of using the two-phase approachTensor processing (23 benchmarks) · benchmarks solved23 -> 20HurtVerified Code Transpilation with LLMs (NeurIPS 2024 · 5 citations)
Add MLM pretrainingC++ to CUDA · BLEU52.12 -> 76.90HelpedCodeRosetta: Pushing the Boundaries of Unsupervised Code Translation for Parallel Programming (NeurIPS 2024 · 4 citations)
Add reasoning-trace hallucination remedy23 smart contract projects · false positives22 -> 10; 54.5% reductionHelpedDetecting Bugs with Substantial Monetary Consequences by LLM and Rule-based Reasoning (NeurIPS 2024 · 4 citations)
Use a clipped prompt containing only the target function instead of the whole fileCoRe Lite pairwise tasks · performanceup to 5.7%HelpedCoRe: Benchmarking LLMs’ Code Reasoning Capabilities through Static Analysis Tasks (NeurIPS 2025 · 3 citations)

What reviewers will expect

Datasets and baselines named in the 30 papers of this approach from 2025–2026 that have a full-text summary. Leaving out the common ones is a frequent review question.

Datasets

  • HumanEval · 4 of 30 papers
  • Devign · 2 of 30 papers
  • CodeNet · 2 of 30 papers
  • CodeContests · 2 of 30 papers
  • MBPP · 2 of 30 papers

Baselines

  • GPT-4o · 6 of 30 papers
  • DeepSeek-R1 · 4 of 30 papers
  • Gemini-2.5-pro · 3 of 30 papers
  • GPT-3.5 Turbo · 2 of 30 papers
  • Direct prompting · 2 of 30 papers
  • OpenAI o3-mini · 2 of 30 papers
  • Claude-3.5 Sonnet · 2 of 30 papers
  • DeepSeek-V3 · 2 of 30 papers

Recent preprints

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    Who publishes on it

    Institutions on the most papers of this approach since 2023 (of 86 papers; from OpenAlex and the papers' affiliations).

    Use it

    Download BibTeX of 31 key papersOpen the topic in the interactive map

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    Same keyword cluster

    Elsewhere in the topic

    Benchmark numbers, ablations and baseline numbers are extracted by AI from each paper's full text and can be wrong; the paper is the authority. Data: results index of 2026-11-02, citation counts from OpenAlex (2026-10-09).

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