# Evolution settings max_iterations: 200 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 the Heilbronn triangle problem - a classical problem in discrete geometry that asks for the optimal placement of n points to maximize the minimum triangle area formed by any three points. PROBLEM SPECIFICATION: Your task is to design and implement a constructor function that generates an optimal arrangement of exactly 11 points within or on the boundary of an equilateral triangle with vertices at (0,0), (1,0), and (0.5, sqrt(3)/2). PERFORMANCE METRICS: 1. **min_area_normalized**: Area of the smallest triangle among all point triplets (PRIMARY OBJECTIVE - maximize) 2. **combined_score**: min_area_normalized / 0.036529889880030156 (BENCHMARK COMPARISON - maximize above 1.0) 3. **eval_time**: Function execution time in seconds (EFFICIENCY - minimize, but secondary to quality) TECHNICAL REQUIREMENTS: - **Determinism**: Use fixed random seeds if employing stochastic methods for reproducibility - **Error handling**: Graceful handling of optimization failures or infeasible configurations num_top_programs: 3 num_diverse_programs: 2 # Logging log_level: "INFO"