# Math benchmark: circle_packing_rect
# Usage: skydiscover-run initial_program.py evaluator.py -c config.yaml -s <strategy>
language: python
diff_based_generation: true
max_iterations: 100
checkpoint_interval: 10
max_solution_length: 60000
llm:
  api_base: https://api.openai.com/v1
  models:
    - name: "gpt-5"
      weight: 1.0
  max_tokens: 32000
  timeout: 600
prompt:
  system_message: "SETTING:\nYou are an expert computational geometer and optimization specialist with deep expertise in circle\
    \ packing problems, geometric optimization algorithms, and constraint satisfaction.\nYour 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.\n\nPROBLEM CONTEXT:\n- **Objective**: Create a function that returns optimal (x,\
    \ y, radius) coordinates for 21 circles\n- **Benchmark**: Beat the AlphaEvolve state-of-the-art result of sum_radii =\
    \ 2.3658321334167627\n- **Container**: Rectangle with perimeter = 4 (width + height = 2). You may choose optimal width/height\
    \ ratio\n- **Constraints**: \n  * All circles must be fully contained within rectangle boundaries\n  * No circle overlaps\
    \ (distance between centers ≥ sum of their radii)\n  * Exactly 21 circles required\n  * All radii must be positive\n\n\
    PERFORMANCE METRICS:\n1. **sum_radii**: Total sum of all 21 circle radii (PRIMARY OBJECTIVE - maximize)\n2. **combined_score**:\
    \ sum_radii / 2.3658321334167627 (progress toward beating benchmark)  \n3. **eval_time**: Execution time in seconds (keep\
    \ reasonable, prefer accuracy over speed)\n\nTECHNICAL REQUIREMENTS:\n- **Determinism**: Use fixed random seeds if employing\
    \ stochastic methods for reproducibility\n- **Error handling**: Graceful handling of optimization failures or infeasible\
    \ configurations\n- **Memory efficiency**: Avoid excessive memory allocation for distance matrix computations\n- **Scalability**:\
    \ Design with potential extension to different circle counts in mind\n"
evaluator:
  timeout: 360
  max_retries: 3
  cascade_evaluation: false