Do Multi-Agents Solve Better Than Single? Evaluating Agentic Frameworks for Diagram-Grounded Geometry Problem Solving and Reasoning
Paper · 2026 · Mahbub E Sobhani, Md. Faiyaz Abdullah Sayeedi, Mohammad Nehad Alam et al.
Summary
The paper asks whether splitting diagram-based geometry solving across several agents actually beats a single multimodal model, a question earlier work left largely unexamined. The authors compare two zero-shot setups with frozen weights. In the first, one MLLM reads the diagram and question and answers directly. In the second, an Interpreter VLM converts the diagram into formal predicates (points, lines, parallelism, angle measures), and a separate Solver LLM reasons over those literals. Experiments cover Geometry3K, MathVerse, OlympiadBench and We-Math, using Qwen2.5-VL (7B/32B), Gemini-2.0-Flash, GPT-4o, Phi-4 and Qwen3-8B. The two-agent pipeline usually helps open-source models. Gemini-2.0-Flash, however, tends to do better alone on the older benchmarks and gains only slightly on We-Math. An ablation shows that the overall result depends heavily on how good the Interpreter's predicates are. The authors conclude that decomposition is useful but not always the best choice, and they suggest adaptive selection between the two modes. Code and reasoning traces are released (GitHub: Interpreter-Solver).
Key points
- Setup: Open-source models were 4-bit quantized with Unsloth. Scoring used Pass@3, and Gemini-2.0-Flash acted as the LLM judge for free-form answers. In the main multi-agent results, the Interpreter was always Gemini-2.0-Flash.
- Gains for Qwen-2.5-VL:
- On Geometry3K, 7B improved by +6.8 (53.24% → 60.07%) and 32B by +3.3 (68.72% → 72.05%).
- On OlympiadBench, 7B improved by +9.4 and 32B by +6.67.
- On MathVerse, 7B dropped by 6.0 points.
- Gemini-2.0-Flash: Single-agent was stronger on the classic benchmarks (85.19% vs 83.86% on Geometry3K). Multi-agent added +1.74 on We-Math, where all three models improved.
- Interpreter ablation: Using Qwen-2.5-7B as Interpreter gave 35.77% with Phi-4 and 42.26% with Qwen-3 as Solver. Using Gemini raised these to 70.05% and 79.53%.
- Predicate fidelity: Fidelity was measured as cosine similarity using text-embedding-3-large. Scores were 0.849 for Gemini, 0.794 for GPT-4o mini and 0.677 for Qwen-2.5.
Institutions
Fields, topics and concepts
📚 Shelves 2The field of science this work belongs to (OpenAlex fields).Computer Science · 16,667 worksArtificial Intelligence · 16,194 works
🧭 Topics 2Research subjects and languages the work is about.Reasoning · 1,426 worksEvaluation & benchmarks · 1,220 works
Cite
Cite as Mahbub E Sobhani, Md. Faiyaz Abdullah Sayeedi, Mohammad Nehad Alam, Proma Hossain Progga and Swakkhar Shatabda. 2026. Do Multi-Agents Solve Better Than Single? Evaluating Agentic Frameworks for Diagram-Grounded Geometry Problem Solving and Reasoning. Proceedings of the 19th Conference of the European Chapter of the Association for Computational Linguistics (Volume 4: Student Research Workshop).
@inproceedings{sobhani2026do,
title = {{Do Multi-Agents Solve Better Than Single? Evaluating Agentic Frameworks for Diagram-Grounded Geometry Problem Solving and Reasoning}},
author = {Mahbub E Sobhani, Md. Faiyaz Abdullah Sayeedi, Mohammad Nehad Alam, Proma Hossain Progga and Swakkhar Shatabda},
booktitle = {Proceedings of the 19th Conference of the European Chapter of the Association for Computational Linguistics (Volume 4: Student Research Workshop)},
year = {2026},
doi = {10.18653/v1/2026.eacl-srw.4},
url = {https://doi.org/10.18653/v1/2026.eacl-srw.4}
}References
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