Feat mars

README.md

@@ -72,6 +72,7 @@ OptiLLM delivers measurable improvements across diverse benchmarks:
 
 | Technique | Base Model | Improvement | Benchmark |
 |-----------|------------|-------------|-----------|
+| **MARS** | Gemini 2.5 Flash Lite | **+30.0 points** | AIME 2025 (43.3→73.3) |
 | **CePO** | Llama 3.3 70B | **+18.6 points** | Math-L5 (51.0→69.6) |
 | **AutoThink** | DeepSeek-R1-1.5B | **+9.34 points** | GPQA-Diamond (21.72→31.06) |
 | **LongCePO** | Llama 3.3 70B | **+13.6 points** | InfiniteBench (58.0→71.6) |
@@ -158,6 +159,7 @@ optillm
 
 | Approach                             | Slug               | Description                                                                                    |
 | ------------------------------------ | ------------------ | ---------------------------------------------------------------------------------------------- |
+| [MARS (Multi-Agent Reasoning System)](optillm/mars) | `mars`             | Multi-agent reasoning with diverse temperature exploration, cross-verification, and iterative improvement |
 | [Cerebras Planning and Optimization](optillm/cepo)   | `cepo`             | Combines Best of N, Chain-of-Thought, Self-Reflection, Self-Improvement, and various prompting techniques |
 | CoT with Reflection                  | `cot_reflection`   | Implements chain-of-thought reasoning with \<thinking\>, \<reflection> and \<output> sections |
 | PlanSearch                           | `plansearch`       | Implements a search algorithm over candidate plans for solving a problem in natural language   |
@@ -747,6 +749,20 @@ Authorization: Bearer your_secret_api_key
 
 ## SOTA results on benchmarks with optillm
 
+### MARS on AIME 2025, IMO 2025, and LiveCodeBench (Oct 2025)
+
+| Benchmark | Approach | Problems | Correct | Accuracy | Improvement |
+|-----------|----------|----------|---------|----------|-------------|
+| **AIME 2025** | Baseline | 30 | 13 | 43.3% | - |
+| **AIME 2025** | **MARS** | 30 | **22** | **73.3%** | **+30.0pp (+69.2%)** |
+| **IMO 2025** | Baseline | 6 | 1 | 16.7% | - |
+| **IMO 2025** | **MARS** | 6 | **2** | **33.3%** | **+16.7pp (+100%)** |
+| **LiveCodeBench v5/v6** | Baseline | 105 | 41 | 39.05% | - |
+| **LiveCodeBench v5/v6** | **MARS** | 105 | **53** | **50.48%** | **+11.43pp (+29.3%)** |
+
+Model: google/gemini-2.5-flash-lite-preview-09-2025 via OpenRouter
+Configuration: 3 agents, 2-pass verification, thinking tags disabled for proofs
+
 ### AutoThink on GPQA-Diamond & MMLU-Pro (May 2025)
 
 | **Model**     | **GPQA-Diamond**            |                          | **MMLU-Pro**               |                          |

optillm/__init__.py

@@ -1,5 +1,5 @@
 # Version information
-__version__ = "0.3.2"
+__version__ = "0.3.3"
 
 # Import from server module
 from .server import (

optillm/mars/README.md

@@ -0,0 +1,323 @@
+# MARS: Multi-Agent Reasoning System
+
+A sophisticated multi-agent reasoning system designed for challenging mathematical problems, inspired by systems like Gemini 2.5 Pro Deep Think and the successful IMO25 solver.
+
+## Overview
+
+MARS leverages multiple AI agents working collaboratively to solve complex mathematical problems through:
+- **Multi-agent exploration** with diverse reasoning approaches (3 agents by default, configurable)
+- **Rigorous verification** using a 2-pass consensus threshold (configurable)
+- **Iterative improvement** based on verification feedback
+- **OpenRouter reasoning API** for deep mathematical thinking
+- **RSA-inspired aggregation** for solution refinement
+- **Strategy network** for cross-agent insight sharing
+- **Shared workspace** for agent collaboration
+
+## Key Features
+
+### 1. Multi-Agent Architecture
+- **3 parallel agents** by default (configurable: 2 for lightweight, 3+ for advanced)
+- **Temperature diversity** (0.3, 0.6, 1.0) ensures varied exploration strategies
+- **Independent reasoning** followed by collaborative verification
+
+### 2. OpenRouter Reasoning API Integration
+- **Effort-based reasoning**: "low", "medium", "high" effort levels via OpenRouter API
+- **Adaptive allocation**: Low effort (temp ≤ 0.4), Medium (0.4-0.8), High (> 0.8)
+- **Configurable token budgets**: 4K for lightweight coding, 64K for complex reasoning
+
+### 3. Verification System
+- **2-pass threshold** by default (configurable: 1 for lightweight, 2+ for advanced)
+- **Cross-agent verification**: Agents verify each other's solutions
+- **Mathematical rigor**: Focus on complete proofs, not just correct answers
+- **Consensus building**: Multiple verified solutions required
+
+### 4. Iterative Improvement
+- **Feedback-driven**: Solutions improved based on verification feedback
+- **Error correction**: Automatic identification and fixing of mathematical errors
+- **Logical gap filling**: Strengthening incomplete reasoning steps
+
+## Architecture Components
+
+```
+optillm/mars/
+├── __init__.py              # Package exports
+├── mars.py                  # Main orchestration with parallel execution
+├── agent.py                 # Individual agent implementation
+├── workspace.py             # Shared collaboration workspace
+├── verifier.py              # Multi-pass verification system
+├── aggregator.py            # RSA-inspired solution aggregation
+├── strategy_network.py      # Cross-agent insight sharing
+├── answer_extraction.py     # Clean answer extraction with thinking tags
+├── prompts.py               # Mathematical reasoning prompts
+└── README.md                # This documentation
+```
+
+## Configuration
+
+### Default Configuration (Mathematical Reasoning)
+```python
+DEFAULT_CONFIG = {
+    'num_agents': 3,                        # Number of parallel agents
+    'max_iterations': 5,                    # Maximum improvement iterations
+    'verification_passes_required': 2,      # Consecutive passes needed
+    'consensus_threshold': 2,               # Verified solutions for consensus
+    'min_verified_solutions': 1,            # Minimum to proceed
+    'max_tokens': 64000,                    # Token budget for complex reasoning
+    'max_verification_attempts': 3,         # Max verification retries
+    'early_termination': True,              # Stop on consensus
+    'use_reasoning_api': True,              # Enable OpenRouter reasoning
+    # RSA-inspired aggregation
+    'enable_aggregation': True,             # Enable solution aggregation
+    'population_size': 6,                   # Population for diversity
+    'aggregation_size': 3,                  # Solutions per aggregation
+    'aggregation_loops': 3,                 # Aggregation iterations
+    # Strategy Network
+    'enable_strategy_network': True,        # Cross-agent insight sharing
+    'strategy_extraction_enabled': True,    # Extract reasoning strategies
+    'cross_agent_enhancement': True,        # Enhanced solutions via peer strategies
+    # Thinking tags and answer extraction
+    'use_thinking_tags': True,              # Wrap reasoning in <think> tags
+    'answer_extraction_mode': 'auto',       # 'auto', 'code', 'math', or 'none'
+}
+```
+
+### Lightweight Configuration (Coding Benchmarks)
+```python
+LIGHTWEIGHT_CONFIG = {
+    'num_agents': 2,                        # Reduced agent count
+    'max_iterations': 2,                    # Faster iteration limit
+    'verification_passes_required': 1,      # Single-pass verification
+    'consensus_threshold': 1,               # Lower threshold for 2 agents
+    'min_verified_solutions': 1,
+    'max_tokens': 4000,                     # Smaller token budget
+    'max_verification_attempts': 2,
+    'early_termination': True,
+    'use_reasoning_api': True,
+    # Disable expensive features for speed
+    'enable_aggregation': False,            # Skip RSA aggregation
+    'enable_strategy_network': False,       # Skip strategy network
+    'strategy_extraction_enabled': False,
+    'cross_agent_enhancement': False,
+    # Thinking tags still enabled
+    'use_thinking_tags': True,
+    'answer_extraction_mode': 'auto',
+}
+```
+
+**Note**: MARS automatically uses lightweight config when `max_tokens ≤ 4000` in the request.
+
+## Usage
+
+### Via OptiLLM Server
+```bash
+# Start OptiLLM with MARS support
+python optillm.py --model google/gemma-2.5-flash-lite --approach mars
+
+# Make API call
+curl -X POST http://localhost:8000/v1/chat/completions \
+  -H "Content-Type: application/json" \
+  -d '{
+    "model": "mars-google/gemma-2.5-flash-lite",
+    "messages": [
+      {
+        "role": "user",
+        "content": "Solve this IMO problem: Find all positive integers n such that..."
+      }
+    ]
+  }'
+```
+
+### Via extra_body Parameter
+```python
+import openai
+
+client = openai.OpenAI(base_url="http://localhost:8000/v1", api_key="anything")
+
+response = client.chat.completions.create(
+    model="google/gemma-2.5-flash-lite",
+    messages=[
+        {"role": "user", "content": "Mathematical problem here"}
+    ],
+    extra_body={"optillm_approach": "mars"}
+)
+```
+
+### Via Prompt Tags
+```python
+response = client.chat.completions.create(
+    model="google/gemma-2.5-flash-lite",
+    messages=[
+        {"role": "system", "content": "<optillm_approach>mars</optillm_approach>"},
+        {"role": "user", "content": "Mathematical problem here"}
+    ]
+)
+```
+
+## Process Flow
+
+### Phase 1: Multi-Agent Exploration (Parallel)
+1. Initialize 3 agents with diverse temperatures (0.3, 0.6, 1.0)
+2. Each agent independently analyzes the problem
+3. Generate initial solutions using OpenRouter reasoning API with effort levels
+4. All agent API calls executed in parallel via ThreadPoolExecutor
+5. Solutions stored in shared workspace
+
+### Phase 2a: RSA-Inspired Aggregation (Optional, Parallel)
+1. Maintain population of N=6 solutions for diversity
+2. Select K=3 solutions for aggregation
+3. Run T=3 aggregation loops to refine solutions
+4. Parallel execution of aggregation API calls
+5. Enhanced solutions added back to workspace
+
+### Phase 2b: Cross-Agent Strategy Network (Optional, Parallel)
+1. Extract reasoning strategies from agent solutions
+2. Identify successful patterns and techniques
+3. Share strategies across agents
+4. Generate enhanced solutions using peer insights
+5. Parallel execution of strategy extraction and enhancement
+
+### Phase 3: Verification System (Parallel)
+1. Cross-agent verification of all solutions
+2. Each solution requires 2 consecutive "CORRECT" assessments (configurable)
+3. Verification feedback captured for improvement
+4. Solutions marked as verified/unverified
+5. Parallel execution of verification calls
+
+### Phase 4: Iterative Improvement (Parallel)
+1. Unverified solutions improved based on feedback
+2. Agents address specific issues identified in verification
+3. Re-verification of improved solutions
+4. Process continues until consensus or max iterations (5 default)
+5. Parallel execution of improvement and verification
+
+### Phase 5: Final Synthesis
+1. **Numerical voting**: If 2+ agents agree on same numerical answer, use that solution
+2. **Best verified solution**: Otherwise, select highest-scoring verified solution
+3. **Synthesis**: If no verified solution, synthesize from top 3 solutions
+4. **Answer extraction**: Apply thinking tags and extract clean answer (if enabled)
+5. Complete solution with mathematical rigor
+
+## Evaluation
+
+MARS is designed to excel on challenging mathematical benchmarks:
+
+- **IMO (International Mathematical Olympiad)**: Complex proof-based problems
+- **AIME (American Invitational Mathematics Examination)**: Numerical competition problems
+- **LiveCodeBench**: Competitive programming challenges
+- **Mathematical reasoning tasks**: General problem-solving capabilities
+
+### Performance Metrics
+- **Accuracy**: Percentage of correctly solved problems
+- **Verification Rate**: Percentage of solutions passing 5-pass threshold
+- **Reasoning Efficiency**: Tokens used per correct solution
+- **Consensus Quality**: Agreement between verified solutions
+
+## Benchmark Results
+
+### Gemini 2.5 Flash Lite Preview Model
+
+Evaluation results using `google/gemini-2.5-flash-lite-preview-09-2025` via OpenRouter:
+
+| Benchmark | Approach | Problems | Correct | Accuracy | Notes |
+|-----------|----------|----------|---------|----------|-------|
+| **AIME 2025** | Baseline | 30 | 13 | 43.3% | Pass@1, max_tokens=4000 |
+| **AIME 2025** | MARS | 30 | 22 | 73.3% | **+9 problems (+30pp)** |
+| **IMO 2025** | Baseline (lite) | 6 | 1 | 16.7% | Problem 4 correct |
+| **IMO 2025** | MARS (lite) | 6 | 2 | 33.3% | **+1 problem (+16.6pp)** |
+| **LiveCodeBench v5/v6** | Baseline | 105 | 41 | 39.05% | Code generation, pass@1 |
+| **LiveCodeBench v5/v6** | MARS + Thinking | 105 | 53 | 50.48% | **+12 problems (+29.3%)** |
+
+### Key Findings
+
+#### AIME 2025: Significant Accuracy Improvement
+- **Results**: 22/30 problems solved (73.3%) vs baseline 13/30 (43.3%)
+- **Improvement**: +9 problems (+69.2% relative improvement), +30.0 percentage points
+- **Key Success Factor**: Multi-agent collaboration with verification effectively solves numerical competition problems
+- **Approach**: 3 agents with diverse temperatures, iterative verification and refinement
+
+#### IMO 2025: Proof-Based Competition Problems
+
+- **Results**: 2/6 problems solved (33.3%) vs baseline 1/6 (16.7%)
+- **Improvement**: +1 problem (+100% relative improvement), +16.6 percentage points
+- **Problems Solved**: Problem 2 (geometry proof) + Problem 4 (number theory)
+- **Runtime**: ~10 minutes per problem (vs ~40 seconds baseline)
+- **Key Success Factor**: Multi-agent exploration with disabled thinking tags allows full proof visibility
+- **Configuration**: `use_thinking_tags=False`, `answer_extraction_mode="none"` for proof problems
+
+#### LiveCodeBench: Strong Performance with Thinking Tags
+- **Results**: 53/105 problems solved (50.48%) vs baseline 41/105 (39.05%)
+- **Improvement**: +12 problems (+29.3% relative improvement), +11.43 percentage points
+- **Code Extraction**: 87/105 (82.9%) vs baseline 54/105 (51.4%) - **+61.1% improvement**
+- **Key Success Factor**: Thinking tags beneficial for code generation - allows agents to reason through logic before writing code
+- **Multi-agent benefit**: Different temperature agents explore varied solution approaches
+
+#### Lessons Learned
+1. **MARS excels at numerical competition problems**: +69.2% relative improvement on AIME 2025 (43.3% → 73.3%)
+2. **MARS improves proof-based problems**: +100% relative improvement on IMO 2025 (16.7% → 33.3%)
+3. **Thinking tags are problem-type dependent**:
+   - ✅ **Enable for code generation**: +29.3% improvement on LiveCodeBench
+   - ✅ **Enable for numerical problems**: Multi-agent reasoning effective on AIME
+   - ❌ **Disable for proof problems**: IMO proofs need full visibility to evaluators
+4. **Multi-agent diversity** provides significant value - different temperature agents explore complementary approaches
+5. **Code extraction rate** is a leading indicator - MARS achieved 82.9% vs baseline 51.4% (+61.1%)
+
+### Completed Evaluations
+
+- ✅ **AIME 2025**: Baseline 13/30 (43.3%) → MARS 22/30 (73.3%) **+30pp improvement**
+- ✅ **IMO 2025**: Baseline 1/6 (16.7%) → MARS 2/6 (33.3%) **+16.6pp improvement**
+- ✅ **LiveCodeBench v5/v6**: Baseline 41/105 (39.05%) → MARS 53/105 (50.48%) **+11.43pp improvement**
+
+*All evaluations use gemini-2.5-flash-lite-preview-09-2025 model via OpenRouter.*
+
+### Configuration for IMO Proof Problems
+For proof-based problems like IMO, disable thinking tags to ensure full proof visibility:
+```python
+extra_body = {
+    "optillm_approach": "mars",
+    "mars_config": {
+        "use_thinking_tags": False,        # Full proof visibility
+        "answer_extraction_mode": "none"   # Proofs are the answer
+    }
+}
+```
+
+*All evaluations use pass@1 accuracy metric.*
+
+## Implementation Details
+
+### Temperature Diversity Strategy (3-Agent Default)
+- **Agent 0**: Temperature 0.3 (Conservative, rigorous, low effort)
+- **Agent 1**: Temperature 0.6 (Balanced approach, medium effort)
+- **Agent 2**: Temperature 1.0 (Maximum exploration, high effort)
+
+**Note**: Temperature assignments cycle for configurations with more agents (e.g., 5 agents: 0.3, 0.6, 1.0, 0.3, 0.6)
+
+### Reasoning Effort Allocation (OpenRouter API)
+- **Low effort** (temp ≤ 0.4): `{"reasoning": {"effort": "low"}}` - Conservative reasoning
+- **Medium effort** (0.4 < temp ≤ 0.8): `{"reasoning": {"effort": "medium"}}` - Balanced reasoning
+- **High effort** (temp > 0.8): `{"reasoning": {"effort": "high"}}` - Maximum reasoning depth
+
+**Note**: OpenRouter's reasoning API automatically allocates appropriate thinking tokens based on effort level and model capabilities.
+
+### Verification Criteria
+Solutions are verified based on:
+- **Mathematical correctness**: Accurate calculations and logic
+- **Completeness**: All problem aspects addressed
+- **Rigor**: Proper justification for each step
+- **Clarity**: Clear mathematical communication
+- **Format compliance**: Proper answer formatting
+
+## Inspired By
+
+- **IMO25 Solver**: 5/6 problems solved with 5-consecutive-pass verification
+- **Gemini 2.5 Pro Deep Think**: Native reasoning tokens and thinking budgets
+- **OpenRouter Reasoning API**: Standardized interface for deep thinking
+- **CEPO Architecture**: Multi-file approach pattern in OptiLLM
+
+## Future Enhancements
+
+- **Multi-model support**: Different models for different agent roles
+- **Dynamic temperature adjustment**: Adaptive exploration strategies
+- **Specialized agent roles**: Proof-focused, computation-focused, verification-focused
+- **Knowledge base integration**: Access to mathematical theorems and techniques
+- **Interactive verification**: Human-in-the-loop verification for critical problems

optillm/mars/__init__.py

@@ -0,0 +1,11 @@
+"""
+MARS: Multi-Agent Reasoning System
+
+A multi-agent reasoning system for enhanced mathematical problem solving,
+inspired by systems like Gemini 2.5 Pro Deep Think and the IMO25 solver.
+Leverages OpenRouter's reasoning API for deep mathematical thinking.
+"""
+
+from .mars import multi_agent_reasoning_system
+
+__all__ = ['multi_agent_reasoning_system']