Core Concepts
HYSYNTH is a novel hybrid approach that leverages the strengths of both large language models (LLMs) and traditional program synthesis techniques to efficiently generate programs from input-output examples.
Abstract
Bibliographic Information
Barke, S., Gonzalez, E. A., Kasibatla, S. R., Berg-Kirkpatrick, T., & Polikarpova, N. (2024). HYSYNTH: Context-Free LLM Approximation for Guiding Program Synthesis. In Proceedings of the 38th Conference on Neural Information Processing Systems (NeurIPS 2024).
Research Objective
This paper introduces HYSYNTH, a hybrid approach to program synthesis that addresses the limitations of purely neural and purely symbolic methods by combining LLM-derived insights with efficient bottom-up search. The researchers aim to demonstrate the effectiveness of this approach in solving Programming by Example (PBE) tasks across various domains.
Methodology
HYSYNTH utilizes a three-step process:
- Sampling Solutions from an LLM: An LLM is prompted with the DSL grammar and input-output examples to generate a set of program completions.
- Learning a PCFG from LLM Solutions: The LLM-generated completions are parsed into programs, which are then used to train a probabilistic context-free grammar (PCFG) that captures the LLM's program generation preferences.
- Guiding Bottom-up Search with PCFG: The learned PCFG is used to assign weights to production rules in the DSL grammar, guiding a bottom-up search algorithm to prioritize program constructions favored by the LLM.
The researchers evaluate HYSYNTH on 299 PBE tasks across three domains: ARC grid-based puzzles, TENSOR manipulations, and STRING manipulations. They compare its performance against baseline synthesizers for each domain (ARGA, TFCODER, and PROBE, respectively), as well as ablations that isolate the contributions of different components of their approach.
Key Findings
- HYSYNTH consistently outperforms both baseline synthesizers and ablations across all domains, demonstrating the effectiveness of LLM-guided program synthesis.
- Direct LLM sampling without search performs poorly, highlighting the need for structured search in tackling PBE tasks.
- HYSYNTH's non-strict mode, which incorporates ungrammatical LLM completions, proves particularly beneficial in low-resource domains where syntactically valid completions are scarce.
- The number of LLM samples used to train the PCFG has a relatively small impact on performance, suggesting that a moderate number of samples is sufficient for effective guidance.
Main Conclusions
HYSYNTH presents a novel and effective approach to program synthesis that leverages the strengths of both LLMs and traditional symbolic methods. The researchers demonstrate its efficacy across multiple domains and highlight the importance of structured search and efficient utilization of LLM-generated completions.
Significance
This research contributes to the field of program synthesis by introducing a practical and generalizable method for incorporating LLM insights into the search process. The proposed approach has the potential to significantly improve the efficiency and scalability of program synthesis techniques.
Limitations and Future Research
- The reliance on DSL-specific synthesizers limits the generalizability of the approach to new domains.
- The quality of LLM completions directly impacts the effectiveness of the guidance, and irrelevant operators in the completions can hinder performance.
- Future research could explore the use of more expressive context-dependent surrogate models to further enhance the guidance provided to the search algorithm.
Stats
HYSYNTH solves 58% of the 299 PBE tasks.
Unguided search solves 40% of the tasks.
Direct sampling from LLMs solves 6% of the tasks.
GPT-4o solves 96% of the TENSOR benchmark with HYSYNTH guidance.
HYSYNTH-ARC with guidance from 100 GPT-4o completions solves 58 tasks in both strict and non-strict modes.
The average time to sample 100 solutions from GPT-4o is 4 seconds, 12 seconds, and 20 seconds per task for STRING, ARC, and TENSOR, respectively.
Quotes
"LLMs demonstrate impressive capabilities in various domains, but they continue to struggle with tasks that require precision—e.g. structured prediction, reasoning, counting, or data transformation—when direct task examples are not prevalent in their training data."
"Our evaluation shows that HYSYNTH outperforms both unguided search and LLMs alone, solving 58% of the tasks overall, compared to 40% for unguided search and 6% for LLMs without search."
"Importantly, in the TENSOR domain, the guidance from the LLM not only speeds up the search, but also frees the user from having to explicitly provide any non-standard constants that the solution might use, thereby significantly improving the usability of the tool."