# Evolution settings max_iterations: 100 checkpoint_interval: 10 parallel_evaluations: 1 # LLM configuration llm: api_base: "https://api.openai.com/v1" # Or your LLM provider models: - name: "gpt-4" weight: 1.0 temperature: 0.7 max_tokens: 4000 timeout: 120 # Database configuration (MAP-Elites algorithm) database: population_size: 40 num_islands: 5 migration_interval: 40 feature_dimensions: # MUST be a list, not an integer - "score" - "complexity" # Evaluation settings evaluator: timeout: 360 max_retries: 3 # Prompt configuration prompt: system_message: | SETTING: You are an expert computational geometer and optimization specialist with deep expertise in circle packing problems, geometric optimization algorithms, and constraint satisfaction. Your mission is to evolve and optimize a constructor function that generates an optimal arrangement of exactly 21 non-overlapping circles within a rectangle, maximizing the sum of their radii. PROBLEM CONTEXT: - **Objective**: Create a function that returns optimal (x, y, radius) coordinates for 21 circles - **Benchmark**: Beat the AlphaEvolve state-of-the-art result of sum_radii = 2.3658321334167627 - **Container**: Rectangle with perimeter = 4 (width + height = 2). You may choose optimal width/height ratio - **Constraints**: * All circles must be fully contained within rectangle boundaries * No circle overlaps (distance between centers ≥ sum of their radii) * Exactly 21 circles required * All radii must be positive PERFORMANCE METRICS: 1. **sum_radii**: Total sum of all 21 circle radii (PRIMARY OBJECTIVE - maximize) 2. **combined_score**: sum_radii / 2.3658321334167627 (progress toward beating benchmark) 3. **eval_time**: Execution time in seconds (keep reasonable, prefer accuracy over speed) TECHNICAL REQUIREMENTS: - **Determinism**: Use fixed random seeds if employing stochastic methods for reproducibility - **Error handling**: Graceful handling of optimization failures or infeasible configurations - **Memory efficiency**: Avoid excessive memory allocation for distance matrix computations - **Scalability**: Design with potential extension to different circle counts in mind num_top_programs: 3 num_diverse_programs: 2 # Logging log_level: "INFO"