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+  "radius_distribution_details": {
+    "mean": 0.09771940662458196,
+    "std": 0.011237838110664842,
+    "min": 0.041531142535262584,
+    "max": 0.10000446886480027,
+    "range": 0.05847332632953769,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6635873283092943,
+  "geometric_quality_details": {
+    "num_triangles": 41,
+    "avg_triangle_quality": 0.6635873283092943,
+    "min_quality": 0.3333268132250484,
+    "max_quality": 0.707651596097133
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..e5032625df8aabb572b6ceac52272bd4c0c079af
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2055.64 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.664
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.664
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..ec4f2508193ea7e16d3b3ad118c48b213651214a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/best/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540704572239131,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3002, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3001)\n  centers[12] = (0.5001, 0.4999)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190822156476646,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9986859639227289,
+        "aux_packing_efficiency": 0.790297971464072,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6635873283092943
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540704572239131
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.664\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_172/results/packing_viz.png",
+    "execution_time_mean": 2055.643000873737,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/eval_agent_memory_backup_20260202_200614/__pycache__/auxiliary_metrics.cpython-313.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/eval_agent_memory_backup_20260202_200614/__pycache__/auxiliary_metrics.cpython-313.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..df0fb1559ebcc942c159257227af86b03f85d17f
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/__pycache__/main.cpython-311.pyc
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Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..206da01f8f99836dd5c3caf5c585bd267746214d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.920877417390816,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.25155279836314015,
+    "cell_size_std": 0.021613633663181253,
+    "coefficient_of_variation": 0.08592086320605773
+  },
+  "edge_utilization": 0.9346153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 5,
+    "edges_touched": 12,
+    "corner_score": 1.25,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.36970166202203575,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00022950534779955865,
+    "mean_density": 0.008885903591248082,
+    "cv": 1.7048837014435598
+  },
+  "packing_efficiency": 0.2470950006766815,
+  "packing_efficiency_details": {
+    "total_area": 0.2470950006766815,
+    "square_area": 1.0,
+    "efficiency": 0.2470950006766815,
+    "relative_to_estimated_best": 0.2941607150912875
+  },
+  "radius_distribution": 0.697045471102817,
+  "radius_distribution_details": {
+    "mean": 0.036914008346007936,
+    "std": 0.040773311984858826,
+    "min": 0.0,
+    "max": 0.13033211187711455,
+    "range": 0.13033211187711455,
+    "small_count": 17,
+    "medium_count": 1,
+    "large_count": 8,
+    "diversity_score": 0.697045471102817
+  },
+  "gap_analysis": 0.246,
+  "gap_analysis_details": {
+    "covered_samples": 615,
+    "total_samples": 2500,
+    "coverage": 0.246,
+    "gap_ratio": 0.754
+  },
+  "geometric_quality": 0.7119216893148237,
+  "geometric_quality_details": {
+    "num_triangles": 32,
+    "avg_triangle_quality": 0.7119216893148237,
+    "min_quality": 0.5785297957619108,
+    "max_quality": 0.9021969830785408
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..4249d8a885e63209f444416a899142a1f599e7d4
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/job_log.out
@@ -0,0 +1,75 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 0.9598
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.921
+    • edge_utilization: 0.935
+    • density_variance: 0.370
+    • packing_efficiency: 0.247
+    • radius_distribution: 0.697
+    • gap_analysis: 0.246
+    • geometric_quality: 0.712
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 0.9598
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.921
+  • Boundary and corner utilization: 0.935
+  • Delaunay triangulation quality: 0.712
+
+⚠️  Areas for Improvement:
+  • Spatial density uniformity across grid: 0.370
+    → Balance circle density across different regions
+  • Area utilization efficiency: 0.247
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.246
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Radius size diversity: 0.697
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 75.4% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..dab2521d74efd9152a2bea4d0d2860a1987266e1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 0.9597642169962064,
+    "public": {
+        "centers_str": "  centers[0] = (0.5000, 0.5000)\n  centers[1] = (0.8000, 0.5000)\n  centers[2] = (0.7121, 0.7121)\n  centers[3] = (0.5000, 0.8000)\n  centers[4] = (0.2879, 0.7121)\n  centers[5] = (0.2000, 0.5000)\n  centers[6] = (0.2879, 0.2879)\n  centers[7] = (0.5000, 0.2000)\n  centers[8] = (0.7121, 0.2879)\n  centers[9] = (0.9900, 0.5000)\n  centers[10] = (0.9900, 0.7679)\n  centers[11] = (0.9900, 0.9900)\n  centers[12] = (0.7679, 0.9900)\n  centers[13] = (0.5000, 0.9900)\n  centers[14] = (0.2321, 0.9900)\n  centers[15] = (0.0100, 0.9900)\n  centers[16] = (0.0100, 0.7679)\n  centers[17] = (0.0100, 0.5000)\n  centers[18] = (0.0100, 0.2321)\n  centers[19] = (0.0100, 0.0100)\n  centers[20] = (0.2321, 0.0100)\n  centers[21] = (0.5000, 0.0100)\n  centers[22] = (0.7679, 0.0100)\n  centers[23] = (0.9900, 0.0100)\n  centers[24] = (0.9900, 0.2321)\n  centers[25] = (0.0100, 0.0100)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.920877417390816,
+        "aux_edge_utilization": 0.9346153846153846,
+        "aux_density_variance": 0.36970166202203575,
+        "aux_packing_efficiency": 0.2470950006766815,
+        "aux_radius_distribution": 0.697045471102817,
+        "aux_gap_analysis": 0.246,
+        "aux_geometric_quality": 0.7119216893148237
+    },
+    "private": {
+        "reported_sum_of_radii": 0.9597642169962064
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 0.9598\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.921\n  \u2022 Boundary and corner utilization: 0.935\n  \u2022 Delaunay triangulation quality: 0.712\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Spatial density uniformity across grid: 0.370\n    \u2192 Balance circle density across different regions\n  \u2022 Area utilization efficiency: 0.247\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.246\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.697\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 75.4% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_0/results/packing_viz.png",
+    "execution_time_mean": 0.0021380861289799213,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..45f1fbc4985ecfdd81706a197813e7912c3ca165
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4bb47da550d43b76301ea8ee8031414acb5ae027
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9555928252790582,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.17323346605660495,
+    "cell_size_std": 0.008050299913931101,
+    "coefficient_of_variation": 0.046470812197625895
+  },
+  "edge_utilization": 0.015384615384615385,
+  "edge_utilization_details": {
+    "corners_touched": 0,
+    "edges_touched": 1,
+    "corner_score": 0.0,
+    "edge_score": 0.038461538461538464
+  },
+  "density_variance": 0.3163127377897914,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.112736696167705e-05,
+    "mean_density": 0.002967047501085883,
+    "cv": 2.1614281707003506
+  },
+  "packing_efficiency": 0.23443602779594552,
+  "packing_efficiency_details": {
+    "total_area": 0.23443602779594552,
+    "square_area": 1.0,
+    "efficiency": 0.23443602779594552,
+    "relative_to_estimated_best": 0.2790905092808875
+  },
+  "radius_distribution": 0.9735387992937531,
+  "radius_distribution_details": {
+    "mean": 0.04983610397811656,
+    "std": 0.019659345568230433,
+    "min": 0.018445710607298958,
+    "max": 0.08970830349022345,
+    "range": 0.0712625928829245,
+    "small_count": 11,
+    "medium_count": 6,
+    "large_count": 9,
+    "diversity_score": 0.9735387992937531
+  },
+  "gap_analysis": 0.2356,
+  "gap_analysis_details": {
+    "covered_samples": 589,
+    "total_samples": 2500,
+    "coverage": 0.2356,
+    "gap_ratio": 0.7644
+  },
+  "geometric_quality": 0.7724653404545762,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.7724653404545762,
+    "min_quality": 0.4850712500726656,
+    "max_quality": 0.8944271909999164
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..b6c9f2dfc5631369aa31a093b92ddc92ddc1a5c3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/job_log.out
@@ -0,0 +1,77 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.2957
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.956
+    • edge_utilization: 0.015
+    • density_variance: 0.316
+    • packing_efficiency: 0.234
+    • radius_distribution: 0.974
+    • gap_analysis: 0.236
+    • geometric_quality: 0.772
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.2957
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.956
+  • Delaunay triangulation quality: 0.772
+
+⚠️  Areas for Improvement:
+  • Boundary and corner utilization: 0.015
+    → Consider placing larger circles near boundaries and corners
+  • Spatial density uniformity across grid: 0.316
+    → Balance circle density across different regions
+  • Area utilization efficiency: 0.234
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.236
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Radius size diversity: 0.974
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Only 0/4 corners are utilized. Place larger circles at unused corners.
+  2. Detected 76.4% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d6dbd2c67f0a177d6f77dd1a3df66911f50f3e89
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.2957387034310306,
+    "public": {
+        "centers_str": "  centers[0] = (0.1667, 0.1667)\n  centers[1] = (0.3333, 0.1667)\n  centers[2] = (0.5000, 0.1667)\n  centers[3] = (0.6667, 0.1667)\n  centers[4] = (0.8333, 0.1667)\n  centers[5] = (0.1667, 0.3333)\n  centers[6] = (0.3333, 0.3333)\n  centers[7] = (0.5000, 0.3333)\n  centers[8] = (0.6667, 0.3333)\n  centers[9] = (0.8333, 0.3333)\n  centers[10] = (0.0833, 0.5000)\n  centers[11] = (0.2500, 0.5000)\n  centers[12] = (0.4167, 0.5000)\n  centers[13] = (0.5833, 0.5000)\n  centers[14] = (0.7500, 0.5000)\n  centers[15] = (0.9167, 0.5000)\n  centers[16] = (0.1667, 0.6667)\n  centers[17] = (0.3333, 0.6667)\n  centers[18] = (0.5000, 0.6667)\n  centers[19] = (0.6667, 0.6667)\n  centers[20] = (0.8333, 0.6667)\n  centers[21] = (0.1667, 0.8333)\n  centers[22] = (0.3333, 0.8333)\n  centers[23] = (0.5000, 0.8333)\n  centers[24] = (0.6667, 0.8333)\n  centers[25] = (0.8333, 0.8333)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9555928252790582,
+        "aux_edge_utilization": 0.015384615384615385,
+        "aux_density_variance": 0.3163127377897914,
+        "aux_packing_efficiency": 0.23443602779594552,
+        "aux_radius_distribution": 0.9735387992937531,
+        "aux_gap_analysis": 0.2356,
+        "aux_geometric_quality": 0.7724653404545762
+    },
+    "private": {
+        "reported_sum_of_radii": 1.2957387034310306
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.2957\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.956\n  \u2022 Delaunay triangulation quality: 0.772\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Boundary and corner utilization: 0.015\n    \u2192 Consider placing larger circles near boundaries and corners\n  \u2022 Spatial density uniformity across grid: 0.316\n    \u2192 Balance circle density across different regions\n  \u2022 Area utilization efficiency: 0.234\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.236\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.974\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Only 0/4 corners are utilized. Place larger circles at unused corners.\n  2. Detected 76.4% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_1/results/packing_viz.png",
+    "execution_time_mean": 0.003811122849583626,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..d64df998328d8d6a1d25a2d25df8e01327159953
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..bca0de8da1cb474181c77f7d15b75bcf79f66836
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539162,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765068,
+    "coefficient_of_variation": 0.08804167661183827
+  },
+  "edge_utilization": 0.5576923076923077,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 7,
+    "corner_score": 0.75,
+    "edge_score": 0.2692307692307692
+  },
+  "density_variance": 0.5266953704227482,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00021255780102229574,
+    "mean_density": 0.01622397416116954,
+    "cv": 0.8986307003180176
+  },
+  "packing_efficiency": 0.5003685136381619,
+  "packing_efficiency_details": {
+    "total_area": 0.5003685136381619,
+    "square_area": 1.0,
+    "efficiency": 0.5003685136381619,
+    "relative_to_estimated_best": 0.5956768019501928
+  },
+  "radius_distribution": 0.9341661379115739,
+  "radius_distribution_details": {
+    "mean": 0.07384972812578525,
+    "std": 0.02592437498360417,
+    "min": 0.018763537743601944,
+    "max": 0.10261558125579377,
+    "range": 0.08385204351219183,
+    "small_count": 8,
+    "medium_count": 5,
+    "large_count": 13,
+    "diversity_score": 0.9341661379115739
+  },
+  "gap_analysis": 0.5056,
+  "gap_analysis_details": {
+    "covered_samples": 1264,
+    "total_samples": 2500,
+    "coverage": 0.5056,
+    "gap_ratio": 0.49439999999999995
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..cc0cf797b8239ad151e517376e4c78f44d164931
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.9201
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.558
+    • density_variance: 0.527
+    • packing_efficiency: 0.500
+    • radius_distribution: 0.934
+    • gap_analysis: 0.506
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.9201
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.558
+  • Spatial density uniformity across grid: 0.527
+  • Area utilization efficiency: 0.500
+  • Radius size diversity: 0.934
+  • Area coverage (1 - gap ratio): 0.506
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..194f5650ddb776828220738f6a55b2fe1c21993e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.9200929312704162,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539162,
+        "aux_edge_utilization": 0.5576923076923077,
+        "aux_density_variance": 0.5266953704227482,
+        "aux_packing_efficiency": 0.5003685136381619,
+        "aux_radius_distribution": 0.9341661379115739,
+        "aux_gap_analysis": 0.5056,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 1.9200929312704162
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.9201\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.558\n  \u2022 Spatial density uniformity across grid: 0.527\n  \u2022 Area utilization efficiency: 0.500\n  \u2022 Radius size diversity: 0.934\n  \u2022 Area coverage (1 - gap ratio): 0.506\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_10/results/packing_viz.png",
+    "execution_time_mean": 0.0036807218566536903,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/__pycache__/main.cpython-311.pyc
new file mode 100644
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/__pycache__/main.cpython-313.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/__pycache__/main.cpython-313.pyc
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Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/__pycache__/main.cpython-313.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4bf85c1a11085381c0b42a00812f488d95df529f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190710197718159,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989904900881904,
+    "cell_size_std": 0.017522147007606712,
+    "coefficient_of_variation": 0.08805519757143114
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9991660726779601,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 6.864227290082439e-10,
+    "mean_density": 0.03139101004618745,
+    "cv": 0.0008346233372444851
+  },
+  "packing_efficiency": 0.7901796564546525,
+  "packing_efficiency_details": {
+    "total_area": 0.7901796564546525,
+    "square_area": 1.0,
+    "efficiency": 0.7901796564546525,
+    "relative_to_estimated_best": 0.9406900672079197
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771093829630523,
+    "std": 0.011247020937997605,
+    "min": 0.04147620565967156,
+    "max": 0.10001130653017878,
+    "range": 0.05853510087050722,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070884922909645,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070884922909645,
+    "min_quality": 0.7067958015515398,
+    "max_quality": 0.7074012721819766
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..497617a505773cc13bd36515704d886ccb70a563
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 840.64 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..c4afe28851b150c2738588e24fb87d430bfeded1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540484395703936,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7999, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190710197718159,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9991660726779601,
+        "aux_packing_efficiency": 0.7901796564546525,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070884922909645
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540484395703936
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_100/results/packing_viz.png",
+    "execution_time_mean": 840.6438155807555,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..bd47f426acb7f7c6b19d10c30adbb7566becee65
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..9ea9e25dcbd3a65e294f06ad55c8a7fc893996bd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190621393875081,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898501162425855,
+    "cell_size_std": 0.01752375658352146,
+    "coefficient_of_variation": 0.0880657108413054
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987683303632998,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.4988400603381475e-09,
+    "mean_density": 0.03139410886905885,
+    "cv": 0.001233188517553681
+  },
+  "packing_efficiency": 0.7902681326115366,
+  "packing_efficiency_details": {
+    "total_area": 0.7902681326115366,
+    "square_area": 1.0,
+    "efficiency": 0.7902681326115366,
+    "relative_to_estimated_best": 0.9407953959661151
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771729583803529,
+    "std": 0.011239938736666238,
+    "min": 0.041518415461859935,
+    "max": 0.10002023926058072,
+    "range": 0.058501823798720785,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6852624760781493,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6852624760781493,
+    "min_quality": 0.4999783041110364,
+    "max_quality": 0.7075010394522195
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..3080dc53c6eb77d0180b65546ba6c02c91fb61f0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1370.36 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.685
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.685
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..63f1e7756a01750162dea339467365f8d5c2d06b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406496917889174,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.4999, 0.5001)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190621393875081,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987683303632998,
+        "aux_packing_efficiency": 0.7902681326115366,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6852624760781493
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406496917889174
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.685\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_101/results/packing_viz.png",
+    "execution_time_mean": 1370.3632487962022,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..3bf8ba907eefa036efba2e1a9dad58853d611cde
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..83d564b8396171b7e83f2a4fa6efea614bffa637
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190587810490687,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898953860314159,
+    "cell_size_std": 0.01752494641918121,
+    "coefficient_of_variation": 0.08806968674902413
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990430158742235,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 9.041949541551817e-10,
+    "mean_density": 0.031391385186862325,
+    "cv": 0.0009579008216569924
+  },
+  "packing_efficiency": 0.7901922781612132,
+  "packing_efficiency_details": {
+    "total_area": 0.7901922781612132,
+    "square_area": 1.0,
+    "efficiency": 0.7901922781612132,
+    "relative_to_estimated_best": 0.9407050930490634
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771198853426086,
+    "std": 0.0112447660277645,
+    "min": 0.04148864875196617,
+    "max": 0.10000086447933025,
+    "range": 0.05851221572736408,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.70708444436198,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.70708444436198,
+    "min_quality": 0.7065222709778282,
+    "max_quality": 0.7074481002832249
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..fe4f1683224b584223d0262e06733ea82fdf243a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 875.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..06a56711f0e3fe02583aa5bea329005394446711
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405117018907823,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3001)\n  centers[17] = (0.7000, 0.5001)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7999, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190587810490687,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990430158742235,
+        "aux_packing_efficiency": 0.7901922781612132,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.70708444436198
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405117018907823
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_102/results/packing_viz.png",
+    "execution_time_mean": 874.9989734441042,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/__pycache__/main.cpython-311.pyc
new file mode 100644
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..cea532b4dd8dc4c50ffcb8fa560fe559384dfc11
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190969420999782,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898423413945315,
+    "cell_size_std": 0.017515489780541117,
+    "coefficient_of_variation": 0.08802450992293848
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989090847629472,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.1755249502639986e-09,
+    "mean_density": 0.03139430455881643,
+    "cv": 0.0010921066328190919
+  },
+  "packing_efficiency": 0.790278315399943,
+  "packing_efficiency_details": {
+    "total_area": 0.790278315399943,
+    "square_area": 1.0,
+    "efficiency": 0.790278315399943,
+    "relative_to_estimated_best": 0.9408075183332655
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771837919122922,
+    "std": 0.01123606522061768,
+    "min": 0.041538691061114325,
+    "max": 0.10000356629679055,
+    "range": 0.05846487523567623,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.676495703737525,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.676495703737525,
+    "min_quality": 0.3333258633297553,
+    "max_quality": 0.7077101264245851
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6e4f88b6151569268724dcd5044dff3c139297df
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1787.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.676
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.676
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..7e44d92ae65cf3ea6d9d80a7906094a7b1795d2f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.54067785897196,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3000)\n  centers[7] = (0.3001, 0.4999)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5001, 0.3001)\n  centers[12] = (0.5000, 0.4999)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3001)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190969420999782,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989090847629472,
+        "aux_packing_efficiency": 0.790278315399943,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.676495703737525
+    },
+    "private": {
+        "reported_sum_of_radii": 2.54067785897196
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.676\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_103/results/packing_viz.png",
+    "execution_time_mean": 1786.9996593138203,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..5eab0b4652f059ffe9b0a8b8a7b3c0cfcf603412
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e08122e3db256b4c6f23cd3e0df60181705c32d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625012101759,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367081147457799e-10,
+    "mean_density": 0.03138971301778572,
+    "cv": 0.0007380430957139702
+  },
+  "packing_efficiency": 0.7901488308573078,
+  "packing_efficiency_details": {
+    "total_area": 0.7901488308573078,
+    "square_area": 1.0,
+    "efficiency": 0.7901488308573078,
+    "relative_to_estimated_best": 0.9406533700682236
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919056441288,
+    "std": 0.01124542723967504,
+    "min": 0.0414823452520988,
+    "max": 0.10001038684395715,
+    "range": 0.05852804159185835,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..756b46ae117c8aa74afe0bd39295307ea08621d0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1978.50 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5715f844420c047acc7a72f4800c87e65349a485
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438954674735,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625012101759,
+        "aux_packing_efficiency": 0.7901488308573078,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438954674735
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_104/results/packing_viz.png",
+    "execution_time_mean": 1978.4988560993224,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..7a93f4a0cd9b4c14bc3ad3edf09beb076e2147fc
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..e68c7c34e4dbfcd96790893bf5816928171f7ce5
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190464495481266,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898764873176916,
+    "cell_size_std": 0.017527685080314253,
+    "coefficient_of_variation": 0.08808428615515171
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990685973244441,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.564959516452556e-10,
+    "mean_density": 0.03139210734341809,
+    "cv": 0.0009322709952553078
+  },
+  "packing_efficiency": 0.7902055132777063,
+  "packing_efficiency_details": {
+    "total_area": 0.7902055132777063,
+    "square_area": 1.0,
+    "efficiency": 0.7902055132777063,
+    "relative_to_estimated_best": 0.9407208491401265
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0977123835492412,
+    "std": 0.011248537721215871,
+    "min": 0.04147015920408045,
+    "max": 0.1000113432341169,
+    "range": 0.05854118403003644,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6852744601020023,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6852744601020023,
+    "min_quality": 0.4999712771938655,
+    "max_quality": 0.7073322089796739
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..1039f72bc15ba5fcaa2cbce57fecfd5cc5093562
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 923.69 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.685
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.685
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..b1241c2497e629b10a39dad8ad44dd9808409f25
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540521972280271,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7999, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190464495481266,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990685973244441,
+        "aux_packing_efficiency": 0.7902055132777063,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6852744601020023
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540521972280271
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.685\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_106/results/packing_viz.png",
+    "execution_time_mean": 923.6887081861496,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..2db79e3f83f19fe5bdc08688c9c2030ae88955a2
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..e2f426bda3d1eff32134c3f3e3669db77cc54a86
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190609125586238,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898450891764174,
+    "cell_size_std": 0.01752400132311804,
+    "coefficient_of_variation": 0.08806716327000076
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989463028335414,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0964918243717085e-09,
+    "mean_density": 0.031392725083225125,
+    "cv": 0.0010548086153076989
+  },
+  "packing_efficiency": 0.7902271299364916,
+  "packing_efficiency_details": {
+    "total_area": 0.7902271299364916,
+    "square_area": 1.0,
+    "efficiency": 0.7902271299364916,
+    "relative_to_estimated_best": 0.9407465832577281
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771423727174725,
+    "std": 0.011244197621347558,
+    "min": 0.04149384392193232,
+    "max": 0.1000022695120259,
+    "range": 0.05850842559009358,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070623121955951,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070623121955951,
+    "min_quality": 0.7065698662790387,
+    "max_quality": 0.7073259514430537
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..1785efd4c492ab5bf0f53200906b1dce885c57d0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2507.41 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..7f4817ac46163926a425150f8dbbd1f1bd2dd75f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405701690654285,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4998, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190609125586238,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989463028335414,
+        "aux_packing_efficiency": 0.7902271299364916,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070623121955951
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405701690654285
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_107/results/packing_viz.png",
+    "execution_time_mean": 2507.4127367860638,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..12f8825e9bc93dfaca5fbf4bc3bbda7ba70a725b
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..613455b9ccb7f04e9515cfcf96bf7a3c49d3bb61
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190693114526006,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989788942682542,
+    "cell_size_std": 0.017521528354601367,
+    "coefficient_of_variation": 0.08805721999300302
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988158837286151,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3850517933126958e-09,
+    "mean_density": 0.03139236854284749,
+    "cv": 0.0011855200649840288
+  },
+  "packing_efficiency": 0.7902181613653819,
+  "packing_efficiency_details": {
+    "total_area": 0.7902181613653819,
+    "square_area": 1.0,
+    "efficiency": 0.7902181613653819,
+    "relative_to_estimated_best": 0.9407359063873595
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771367979684906,
+    "std": 0.011244159679087358,
+    "min": 0.041493632725324255,
+    "max": 0.10000154344529251,
+    "range": 0.058507910719968255,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.701129258449823,
+  "geometric_quality_details": {
+    "num_triangles": 35,
+    "avg_triangle_quality": 0.701129258449823,
+    "min_quality": 0.4999912832775437,
+    "max_quality": 0.7074066887938821
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a1fde9a7d26422ccb6f56f6d4db14d5015ce2944
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2668.03 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.701
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.701
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d169259272ae3479e1c0abd197787eb38ff9c3ef
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405556747180755,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4998, 0.3000)\n  centers[12] = (0.4998, 0.4999)\n  centers[13] = (0.5000, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4001, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190693114526006,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988158837286151,
+        "aux_packing_efficiency": 0.7902181613653819,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.701129258449823
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405556747180755
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.701\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_108/results/packing_viz.png",
+    "execution_time_mean": 2668.0335810407996,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..8cd91f793b049871e4fb73fa9bfd325c07b2b924
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..43647011be48a33fb1da63765e3a3c242230ee50
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190529147986776,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989894056824722,
+    "cell_size_std": 0.017526316708777422,
+    "coefficient_of_variation": 0.08807663182163361
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988592079047712,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.2853390451913244e-09,
+    "mean_density": 0.03139110551098448,
+    "cv": 0.0011420949881633777
+  },
+  "packing_efficiency": 0.7901929930968437,
+  "packing_efficiency_details": {
+    "total_area": 0.7901929930968437,
+    "square_area": 1.0,
+    "efficiency": 0.7901929930968437,
+    "relative_to_estimated_best": 0.9407059441629092
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771269239244437,
+    "std": 0.011239037525164319,
+    "min": 0.041518202469089854,
+    "max": 0.10000054474627348,
+    "range": 0.05848234227718363,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070763072095484,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070763072095484,
+    "min_quality": 0.7063467529715095,
+    "max_quality": 0.7075290087548267
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..f808c3637ced4c49e2f280decd83352477e0ce4d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 559.52 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..424864468b00b5e733a5aa9dd5c0b83152565c40
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405300022035537,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3001, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190529147986776,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988592079047712,
+        "aux_packing_efficiency": 0.7901929930968437,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070763072095484
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405300022035537
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_109/results/packing_viz.png",
+    "execution_time_mean": 559.5227423370816,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..1795637880e75a2a4a9c1913a31893ba2ef787b8
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..418fd02f9aec4c74c10e285135aee7bf8d9a0fd8
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190593898549219,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898961358479933,
+    "cell_size_std": 0.017524809598615892,
+    "coefficient_of_variation": 0.08806896598690432
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988821534786916,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.2340974209485102e-09,
+    "mean_density": 0.03139111794989839,
+    "cv": 0.0011190975005563823
+  },
+  "packing_efficiency": 0.7901939256602829,
+  "packing_efficiency_details": {
+    "total_area": 0.7901939256602829,
+    "square_area": 1.0,
+    "efficiency": 0.7901939256602829,
+    "relative_to_estimated_best": 0.9407070543574797
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771280370477246,
+    "std": 0.011238577681729773,
+    "min": 0.04152058519210366,
+    "max": 0.10000308065412121,
+    "range": 0.05848249546201755,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070746711946009,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070746711946009,
+    "min_quality": 0.7063690919882142,
+    "max_quality": 0.7076048208580034
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6669b340464dc2b506588c910e31d3acd81901a7
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 550.06 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..6cae5a955c80c6ebe4e18f8545cb8b580ef4630b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540532896324084,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3001, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190593898549219,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988821534786916,
+        "aux_packing_efficiency": 0.7901939256602829,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070746711946009
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540532896324084
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_110/results/packing_viz.png",
+    "execution_time_mean": 550.0572405052371,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..d29e76df24dc7ae3f84cfe1c04b537ff6b6f33b3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/job_log.out
@@ -0,0 +1,35 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Evaluation error: invalid decimal literal (main.py, line 7)
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/metrics.json
+
+======================================================================
+❌ EVALUATION FAILED
+Error: invalid decimal literal (main.py, line 7)
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 0.0000
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_111/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/__pycache__/main.cpython-311.pyc
new file mode 100644
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..9d3e3cf1e36b916ca2f3dda2af53cb0a6f55b110
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": false,
+    "error": "name 'cooling_rate' is not defined"
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..0916383e7ca49e6683cf009946ab9b5f0aa3aaf1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/job_log.out
@@ -0,0 +1,35 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Evaluation error: name 'cooling_rate' is not defined
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/metrics.json
+
+======================================================================
+❌ EVALUATION FAILED
+Error: name 'cooling_rate' is not defined
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 0.0000
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..fec2021a6a036637c9d3049ae9778c77cef78421
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_112/results/metrics.json
@@ -0,0 +1,9 @@
+{
+    "combined_score": 0.0,
+    "execution_time_mean": 0.0,
+    "execution_time_std": 0.0,
+    "num_successful_runs": 0,
+    "num_valid_runs": 0,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/__pycache__/main.cpython-311.pyc
new file mode 100644
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Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..d23a5e550fd09edff423a2bc6c1772d1e9178a4b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227842558641675,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19793587542849583,
+    "cell_size_std": 0.016562664449981945,
+    "coefficient_of_variation": 0.08367691976227055
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9982162072115862,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 3.1443872328623522e-09,
+    "mean_density": 0.031379658386100455,
+    "cv": 0.001786980391148574
+  },
+  "packing_efficiency": 0.7899035107544714,
+  "packing_efficiency_details": {
+    "total_area": 0.7899035107544714,
+    "square_area": 1.0,
+    "efficiency": 0.7899035107544714,
+    "relative_to_estimated_best": 0.9403613223267517
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09769465591731676,
+    "std": 0.011238166322432,
+    "min": 0.04150553421274953,
+    "max": 0.10001785137684421,
+    "range": 0.058512317164094683,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6476478320330755,
+  "geometric_quality_details": {
+    "num_triangles": 42,
+    "avg_triangle_quality": 0.6476478320330755,
+    "min_quality": 0.24987462256283227,
+    "max_quality": 0.707593893461856
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6204b13af1e39719fb6a0127abd08c0824c6a18c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1727.11 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5401
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.998
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.648
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5401
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.998
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.648
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..4c790dddd922b2fb8175f3aa2d7ae98ae672b035
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5400610538502355,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9004, 0.9002)\n  centers[25] = (0.8005, 0.8006)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227842558641675,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9982162072115862,
+        "aux_packing_efficiency": 0.7899035107544714,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6476478320330755
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5400610538502355
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5401\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.998\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.648\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_113/results/packing_viz.png",
+    "execution_time_mean": 1727.1111903088167,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/__pycache__/main.cpython-311.pyc
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..b245cf1d09718c6c86711522b58b5f90a30afac8
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@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190657944615757,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899012621783244,
+    "cell_size_std": 0.017523345938252728,
+    "coefficient_of_variation": 0.08806138366387445
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.999055267201968,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.811692370653362e-10,
+    "mean_density": 0.03139136282168475,
+    "cv": 0.0009456261620818723
+  },
+  "packing_efficiency": 0.7901920142773008,
+  "packing_efficiency_details": {
+    "total_area": 0.7901920142773008,
+    "square_area": 1.0,
+    "efficiency": 0.7901920142773008,
+    "relative_to_estimated_best": 0.9407047789015486
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771199813723276,
+    "std": 0.01124453892873002,
+    "min": 0.04148978133027658,
+    "max": 0.10001138223168375,
+    "range": 0.05852160090140717,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.707080126405859,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.707080126405859,
+    "min_quality": 0.7066535045679595,
+    "max_quality": 0.7074852246511579
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a5dcb3dffbfc3555d94bba12a2555016a252827f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 810.58 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..1e0d9cf405739f2d4df9e9a53e1c5fc49409593c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540511951568052,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190657944615757,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.999055267201968,
+        "aux_packing_efficiency": 0.7901920142773008,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.707080126405859
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540511951568052
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_114/results/packing_viz.png",
+    "execution_time_mean": 810.5849980930798,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..c52e9b35ee4a1f32e76d670c5105e83a88c8c3cf
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..3ff441bc011c37c12326199da07850dcbb82ecaf
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190633408200658,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898999566020695,
+    "cell_size_std": 0.017523912471073707,
+    "coefficient_of_variation": 0.08806428848278912
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990209283768133,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 9.464742832971258e-10,
+    "mean_density": 0.03139167707555321,
+    "cv": 0.0009800311438693601
+  },
+  "packing_efficiency": 0.7902019944711153,
+  "packing_efficiency_details": {
+    "total_area": 0.7902019944711153,
+    "square_area": 1.0,
+    "efficiency": 0.7902019944711153,
+    "relative_to_estimated_best": 0.940716660084661
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0977127917594173,
+    "std": 0.011243075498697533,
+    "min": 0.041497927615289754,
+    "max": 0.10000951366338853,
+    "range": 0.05851158604809878,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070814427057923,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070814427057923,
+    "min_quality": 0.7066554645579521,
+    "max_quality": 0.707489490483734
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..1128ef33a0b1ea2ca32e0c07bd41351c4750243d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1121.09 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..e0481f06641b21e138957fb4f107d756632be513
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405325857448497,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190633408200658,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990209283768133,
+        "aux_packing_efficiency": 0.7902019944711153,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070814427057923
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405325857448497
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_115/results/packing_viz.png",
+    "execution_time_mean": 1121.0935934800655,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..f21f1fb84028cf312731732392d1c59fbb8fab2b
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..cea532b4dd8dc4c50ffcb8fa560fe559384dfc11
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190969420999782,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898423413945315,
+    "cell_size_std": 0.017515489780541117,
+    "coefficient_of_variation": 0.08802450992293848
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989090847629472,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.1755249502639986e-09,
+    "mean_density": 0.03139430455881643,
+    "cv": 0.0010921066328190919
+  },
+  "packing_efficiency": 0.790278315399943,
+  "packing_efficiency_details": {
+    "total_area": 0.790278315399943,
+    "square_area": 1.0,
+    "efficiency": 0.790278315399943,
+    "relative_to_estimated_best": 0.9408075183332655
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771837919122922,
+    "std": 0.01123606522061768,
+    "min": 0.041538691061114325,
+    "max": 0.10000356629679055,
+    "range": 0.05846487523567623,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.676495703737525,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.676495703737525,
+    "min_quality": 0.3333258633297553,
+    "max_quality": 0.7077101264245851
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..60930ef90403274f5a216f9e8cf2aa9d2d192b40
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1552.54 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.676
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.676
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..ba4e857c0e79b97e4fdd7370e405e9d548887916
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.54067785897196,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3000)\n  centers[7] = (0.3001, 0.4999)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5001, 0.3001)\n  centers[12] = (0.5000, 0.4999)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3001)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190969420999782,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989090847629472,
+        "aux_packing_efficiency": 0.790278315399943,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.676495703737525
+    },
+    "private": {
+        "reported_sum_of_radii": 2.54067785897196
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.676\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_116/results/packing_viz.png",
+    "execution_time_mean": 1552.5438978071325,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..e24e48e6a8407e8f2e595cb060d94a9540bfcaaf
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4a6072282e9fee7603f06c8ae163b6fd1aab24d5
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190754771331673,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898105467384128,
+    "cell_size_std": 0.017520266170273562,
+    "coefficient_of_variation": 0.08804992068688093
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988871637199819,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.2230374159305218e-09,
+    "mean_density": 0.03139099012476537,
+    "cv": 0.0011140760642812276
+  },
+  "packing_efficiency": 0.7901914510819392,
+  "packing_efficiency_details": {
+    "total_area": 0.7901914510819392,
+    "square_area": 1.0,
+    "efficiency": 0.7901914510819392,
+    "relative_to_estimated_best": 0.94070410843088
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771271445094157,
+    "std": 0.011238005841518446,
+    "min": 0.04152334899827399,
+    "max": 0.10000174784979093,
+    "range": 0.05847839885151694,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909344104335712,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909344104335712,
+    "min_quality": 0.33332278417804445,
+    "max_quality": 0.707542031215329
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..86c4e990e0e346e3aaa2634d376517b6ff3a4163
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2131.10 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..94e43f0f0d883d5dcb8c34d2ac9f50a8f7964143
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540530575724481,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.4998, 0.4999)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190754771331673,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988871637199819,
+        "aux_packing_efficiency": 0.7901914510819392,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909344104335712
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540530575724481
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_118/results/packing_viz.png",
+    "execution_time_mean": 2131.0971637777984,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a7aa2b53700e867db5a6bbbd4ceb008838fbdae2
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..d8a09096d1d4510d675f937e17dafd727fc32231
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190610933483468,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898983481762533,
+    "cell_size_std": 0.01752442776920599,
+    "coefficient_of_variation": 0.08806694923487032
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.998971952628085,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0436233662685916e-09,
+    "mean_density": 0.031391498752948846,
+    "cv": 0.0010291053409561732
+  },
+  "packing_efficiency": 0.7901998202243754,
+  "packing_efficiency_details": {
+    "total_area": 0.7901998202243754,
+    "square_area": 1.0,
+    "efficiency": 0.7901998202243754,
+    "relative_to_estimated_best": 0.940714071695685
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0977128544225441,
+    "std": 0.011241346986150926,
+    "min": 0.04150668570638842,
+    "max": 0.10000677216209777,
+    "range": 0.05850008645570935,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070789692906452,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070789692906452,
+    "min_quality": 0.7065395954248926,
+    "max_quality": 0.7075333977802756
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..c87032af643338e1546d333ce03c6b3becd8e4b4
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1765.54 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..fce989ab12296c1fae29700fda57de81dfb25aae
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405342149861467,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190610933483468,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.998971952628085,
+        "aux_packing_efficiency": 0.7901998202243754,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070789692906452
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405342149861467
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_120/results/packing_viz.png",
+    "execution_time_mean": 1765.5359374438412,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..f0c1807eec71bb1fa9d27963863ce1cd1347f306
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..74d479177e362466b5c71cbd36afc4c4f14be76b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190716196452536,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898306273142005,
+    "cell_size_std": 0.017521351678800336,
+    "coefficient_of_variation": 0.08805448740325963
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987656552637092,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.5053729382470504e-09,
+    "mean_density": 0.03139418179527035,
+    "cv": 0.001235870226199152
+  },
+  "packing_efficiency": 0.7902685309659625,
+  "packing_efficiency_details": {
+    "total_area": 0.7902685309659625,
+    "square_area": 1.0,
+    "efficiency": 0.7902685309659625,
+    "relative_to_estimated_best": 0.9407958701975745
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771719731551914,
+    "std": 0.011241012162209374,
+    "min": 0.04151295333102026,
+    "max": 0.10000002240380579,
+    "range": 0.05848706907278553,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6764785462770609,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6764785462770609,
+    "min_quality": 0.3333268193118638,
+    "max_quality": 0.7075715984657183
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..b121d4d945755706006e9d15b23cd4cd4f39c6e9
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2097.32 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.676
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.676
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..4407d90e78052b9996a0234216aecc7c6e74e10d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406471302034976,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4998, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190716196452536,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987656552637092,
+        "aux_packing_efficiency": 0.7902685309659625,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6764785462770609
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406471302034976
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.676\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_124/results/packing_viz.png",
+    "execution_time_mean": 2097.316958935,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..11577831f698203aaa53ec5c0e02737ab03f5187
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..5b5ea17c9bd7146e64b6c95e90b293ce97bee2f1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9189699065853631,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898387114759478,
+    "cell_size_std": 0.017545386015997946,
+    "coefficient_of_variation": 0.08817491501514148
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9985424618956882,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 2.09861986976031e-09,
+    "mean_density": 0.03138437588099397,
+    "cv": 0.00145966562257628
+  },
+  "packing_efficiency": 0.790027313307154,
+  "packing_efficiency_details": {
+    "total_area": 0.790027313307154,
+    "square_area": 1.0,
+    "efficiency": 0.790027313307154,
+    "relative_to_estimated_best": 0.9405087063180405
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770275677000594,
+    "std": 0.01123517568407677,
+    "min": 0.04152801843543347,
+    "max": 0.10002493305281555,
+    "range": 0.05849691461738209,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070710357675916,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070710357675916,
+    "min_quality": 0.705540397920555,
+    "max_quality": 0.7079786497923866
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..76c9ac20bba1b0bd2d8ff65fcfd88dd3c81262ce
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 883.83 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5403
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5403
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..c8e1b0563710b14b0a2882a8cffc220ac0065d84
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5402716760201542,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.6998, 0.3003)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7999, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9189699065853631,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9985424618956882,
+        "aux_packing_efficiency": 0.790027313307154,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070710357675916
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5402716760201542
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5403\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_125/results/packing_viz.png",
+    "execution_time_mean": 883.8258865941316,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..4af851115a9484dcc7be1594ab911144a8dbbc2c
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..6e7b10cb12ea3fa4168b69fae60adc2fcf2b5c3a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190655720102793,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899011064187155,
+    "cell_size_std": 0.017523396971685756,
+    "coefficient_of_variation": 0.0880616470190395
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990572692362658,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.774344373125017e-10,
+    "mean_density": 0.03139135256035112,
+    "cv": 0.0009436203436614053
+  },
+  "packing_efficiency": 0.7901919247630143,
+  "packing_efficiency_details": {
+    "total_area": 0.7901919247630143,
+    "square_area": 1.0,
+    "efficiency": 0.7901919247630143,
+    "relative_to_estimated_best": 0.9407046723369218
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771200711499352,
+    "std": 0.01124441218358198,
+    "min": 0.04149042201099285,
+    "max": 0.10001146038516608,
+    "range": 0.058521038374173225,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070797696124188,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070797696124188,
+    "min_quality": 0.7066474351686808,
+    "max_quality": 0.7074651944576095
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..e1365594c4811b8ece3fa07de19f93744e342d00
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 769.27 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..777adc766dc139da5d93baae5f4bfc491f1018ac
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405121849898316,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190655720102793,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990572692362658,
+        "aux_packing_efficiency": 0.7901919247630143,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070797696124188
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405121849898316
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_126/results/packing_viz.png",
+    "execution_time_mean": 769.2658851430751,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..d7552594c96f8406cdfed845dd5aa7fa55360a22
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..a4839c0125008a32c58447ae7f196a10274fa4a9
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190614733713752,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898942607545259,
+    "cell_size_std": 0.017524302246160202,
+    "coefficient_of_variation": 0.08806649932971242
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989537424154262,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0811255848198389e-09,
+    "mean_density": 0.03139386725677449,
+    "cv": 0.0010473533859975295
+  },
+  "packing_efficiency": 0.7902658859589043,
+  "packing_efficiency_details": {
+    "total_area": 0.7902658859589043,
+    "square_area": 1.0,
+    "efficiency": 0.7902658859589043,
+    "relative_to_estimated_best": 0.9407927213796481
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771749028739138,
+    "std": 0.011237024320015833,
+    "min": 0.04153295535100173,
+    "max": 0.10000809488044557,
+    "range": 0.05847513952944384,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6718435072638265,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6718435072638265,
+    "min_quality": 0.3333339104003136,
+    "max_quality": 0.7076175745095942
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..678298ec492df3eed6b889958435de56a4a62091
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1996.08 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.672
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.672
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..4d89400a4dd9273a9fc2bbdb5b0ae83c4b667045
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406547474721757,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.6999)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190614733713752,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989537424154262,
+        "aux_packing_efficiency": 0.7902658859589043,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6718435072638265
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406547474721757
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.672\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_127/results/packing_viz.png",
+    "execution_time_mean": 1996.0803738757968,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b49a1539f1cf8ee6886a44c5168cd9446c943885
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..74d479177e362466b5c71cbd36afc4c4f14be76b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190716196452536,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898306273142005,
+    "cell_size_std": 0.017521351678800336,
+    "coefficient_of_variation": 0.08805448740325963
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987656552637092,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.5053729382470504e-09,
+    "mean_density": 0.03139418179527035,
+    "cv": 0.001235870226199152
+  },
+  "packing_efficiency": 0.7902685309659625,
+  "packing_efficiency_details": {
+    "total_area": 0.7902685309659625,
+    "square_area": 1.0,
+    "efficiency": 0.7902685309659625,
+    "relative_to_estimated_best": 0.9407958701975745
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771719731551914,
+    "std": 0.011241012162209374,
+    "min": 0.04151295333102026,
+    "max": 0.10000002240380579,
+    "range": 0.05848706907278553,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6764785462770609,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6764785462770609,
+    "min_quality": 0.3333268193118638,
+    "max_quality": 0.7075715984657183
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..700fbe501bb4f74bec6713ec58ce299c1fcbeb59
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2332.92 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.676
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.676
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..deeb0a8acc80df586d3dbb75f2e7f253abb4bdcd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406471302034976,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4998, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190716196452536,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987656552637092,
+        "aux_packing_efficiency": 0.7902685309659625,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6764785462770609
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406471302034976
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.676\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_128/results/packing_viz.png",
+    "execution_time_mean": 2332.9248826210387,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_129/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_129/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..db021025b6dc46bb35af1eadbf834d0fc7abf3c6
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_129/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190695573979712,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898449938932805,
+    "cell_size_std": 0.017521963988280192,
+    "coefficient_of_variation": 0.08805692882610032
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988305180962549,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3511253608478472e-09,
+    "mean_density": 0.03139396041192034,
+    "cv": 0.001170851193027323
+  },
+  "packing_efficiency": 0.7902648853496909,
+  "packing_efficiency_details": {
+    "total_area": 0.7902648853496909,
+    "square_area": 1.0,
+    "efficiency": 0.7902648853496909,
+    "relative_to_estimated_best": 0.9407915301782035
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0977171388064211,
+    "std": 0.011239535443039524,
+    "min": 0.041520194740470674,
+    "max": 0.10000524322912863,
+    "range": 0.05848504848865795,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6852482278559563,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6852482278559563,
+    "min_quality": 0.49998665560248484,
+    "max_quality": 0.7075963959709491
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..ac68b5f686174804eee3a1444c08184daa07f99b
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..250132cb98d34f7729aae334e8e449161971ea6f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9130345188681844,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1946903090018465,
+    "cell_size_std": 0.01854402668368039,
+    "coefficient_of_variation": 0.09524884255156055
+  },
+  "edge_utilization": 0.5884615384615384,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 9,
+    "corner_score": 0.75,
+    "edge_score": 0.34615384615384615
+  },
+  "density_variance": 0.5080547110065377,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0006605859040839537,
+    "mean_density": 0.026543507553702952,
+    "cv": 0.9682919542638234
+  },
+  "packing_efficiency": 0.6109068839253747,
+  "packing_efficiency_details": {
+    "total_area": 0.6109068839253747,
+    "square_area": 1.0,
+    "efficiency": 0.6109068839253747,
+    "relative_to_estimated_best": 0.7272700999111604
+  },
+  "radius_distribution": 0.9118485864013031,
+  "radius_distribution_details": {
+    "mean": 0.07991620294765352,
+    "std": 0.0330536358167391,
+    "min": 0.019325728621173405,
+    "max": 0.1748286598551726,
+    "range": 0.1555029312339992,
+    "small_count": 9,
+    "medium_count": 4,
+    "large_count": 13,
+    "diversity_score": 0.9118485864013031
+  },
+  "gap_analysis": 0.6192,
+  "gap_analysis_details": {
+    "covered_samples": 1548,
+    "total_samples": 2500,
+    "coverage": 0.6192,
+    "gap_ratio": 0.3808
+  },
+  "geometric_quality": 0.6463083846897136,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6463083846897136,
+    "min_quality": 0.33411049229581613,
+    "max_quality": 0.950646093177902
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..9f2c0f3dbcbd56dbda3a39f0807bc3b89ee596da
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 9.10 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.0778
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.913
+    • edge_utilization: 0.588
+    • density_variance: 0.508
+    • packing_efficiency: 0.611
+    • radius_distribution: 0.912
+    • gap_analysis: 0.619
+    • geometric_quality: 0.646
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.0778
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.913
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.588
+  • Spatial density uniformity across grid: 0.508
+  • Area utilization efficiency: 0.611
+  • Radius size diversity: 0.912
+  • Area coverage (1 - gap ratio): 0.619
+  • Delaunay triangulation quality: 0.646
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5b91a48005862de2c1d7e1390c15d9955ba0c20a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.0778212766389914,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.0956, 0.4956)\n  centers[3] = (0.0893, 0.7022)\n  centers[4] = (0.1011, 0.8986)\n  centers[5] = (0.2569, 0.0612)\n  centers[6] = (0.3537, 0.2290)\n  centers[7] = (0.2075, 0.5651)\n  centers[8] = (0.2383, 0.7284)\n  centers[9] = (0.2995, 0.9048)\n  centers[10] = (0.5172, 0.0787)\n  centers[11] = (0.5652, 0.3073)\n  centers[12] = (0.5740, 0.5371)\n  centers[13] = (0.5461, 0.6989)\n  centers[14] = (0.4956, 0.8961)\n  centers[15] = (0.6999, 0.0999)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.6994, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4100, 0.4328)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9130345188681844,
+        "aux_edge_utilization": 0.5884615384615384,
+        "aux_density_variance": 0.5080547110065377,
+        "aux_packing_efficiency": 0.6109068839253747,
+        "aux_radius_distribution": 0.9118485864013031,
+        "aux_gap_analysis": 0.6192,
+        "aux_geometric_quality": 0.6463083846897136
+    },
+    "private": {
+        "reported_sum_of_radii": 2.0778212766389914
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.0778\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.913\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.588\n  \u2022 Spatial density uniformity across grid: 0.508\n  \u2022 Area utilization efficiency: 0.611\n  \u2022 Radius size diversity: 0.912\n  \u2022 Area coverage (1 - gap ratio): 0.619\n  \u2022 Delaunay triangulation quality: 0.646\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_13/results/packing_viz.png",
+    "execution_time_mean": 9.095845535863191,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..eb2455227557d0f13fa66b4a6a938eba817f7306
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..c5357ab3890028887425b64d0f53137f0ac0e436
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190755751159398,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898280955390954,
+    "cell_size_std": 0.017520397605885352,
+    "coefficient_of_variation": 0.08804980468973037
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.998727920060522,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.5989272238543353e-09,
+    "mean_density": 0.03139403381950934,
+    "cv": 0.0012737001879358622
+  },
+  "packing_efficiency": 0.7902650176968906,
+  "packing_efficiency_details": {
+    "total_area": 0.7902650176968906,
+    "square_area": 1.0,
+    "efficiency": 0.7902650176968906,
+    "relative_to_estimated_best": 0.9407916877343936
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771699708902393,
+    "std": 0.011240839545063525,
+    "min": 0.04151366690231324,
+    "max": 0.10003646544905125,
+    "range": 0.058522798546738,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909308498964872,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909308498964872,
+    "min_quality": 0.3333293504121517,
+    "max_quality": 0.7075536635226275
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a8ca92a29108d87dcad598012e64e36003d4d8e1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2443.56 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..efe5cab7986446536bd034c845c75ea6ae470760
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540641924314622,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3001)\n  centers[12] = (0.4998, 0.5001)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.6999, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190755751159398,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.998727920060522,
+        "aux_packing_efficiency": 0.7902650176968906,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909308498964872
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540641924314622
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_130/results/packing_viz.png",
+    "execution_time_mean": 2443.5579609903507,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a27cb931161e59440d64004777604d82a997ad54
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e1539d8320391a074870405fcc505b8f47b20e0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190655138732856,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899010654278365,
+    "cell_size_std": 0.017523410306629458,
+    "coefficient_of_variation": 0.08806171584616013
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990595295847847,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.732273312158228e-10,
+    "mean_density": 0.0313913414382224,
+    "cv": 0.0009413557324317633
+  },
+  "packing_efficiency": 0.790191777171682,
+  "packing_efficiency_details": {
+    "total_area": 0.790191777171682,
+    "square_area": 1.0,
+    "efficiency": 0.790191777171682,
+    "relative_to_estimated_best": 0.9407044966329547
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771200938685844,
+    "std": 0.011244312093796387,
+    "min": 0.04149092245248658,
+    "max": 0.10001149729082252,
+    "range": 0.05852057483833594,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070796761608308,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070796761608308,
+    "min_quality": 0.7066458454612601,
+    "max_quality": 0.707452068135488
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..b724db843142e2b36eba958d0e819c04bcc8a577
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1352.61 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..67924743c6cbc9969978ee005ac67919fdaa5f97
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405122440583194,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190655138732856,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990595295847847,
+        "aux_packing_efficiency": 0.790191777171682,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070796761608308
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405122440583194
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_132/results/packing_viz.png",
+    "execution_time_mean": 1352.6147656217217,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b5dd2dd9854b2165fa9c0bf592bcbce6298c8479
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..20625ad36d4bf13d2a3f5a744e36d244b9c079b0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 658.12 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_133/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..162dd70ac6b176889e6c523ac2c3c54425605f90
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..61e141163b8e87db71b6ee2d82ff0a6084464e56
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9189553489091777,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19895077103962933,
+    "cell_size_std": 0.017545897005051374,
+    "coefficient_of_variation": 0.08819215339137451
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9974879870819511,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 6.244165621963813e-09,
+    "mean_density": 0.031377836722056594,
+    "cv": 0.0025183390181945492
+  },
+  "packing_efficiency": 0.7898972626442952,
+  "packing_efficiency_details": {
+    "total_area": 0.7898972626442952,
+    "square_area": 1.0,
+    "efficiency": 0.7898972626442952,
+    "relative_to_estimated_best": 0.9403538841003514
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0976976133095673,
+    "std": 0.011209015882082354,
+    "min": 0.041655934474074896,
+    "max": 0.10022622236432882,
+    "range": 0.058570287890253925,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6477592929740041,
+  "geometric_quality_details": {
+    "num_triangles": 42,
+    "avg_triangle_quality": 0.6477592929740041,
+    "min_quality": 0.24999766151290215,
+    "max_quality": 0.7081347442072474
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..c4de8d1a6fa1a8e314948bdaa79dd7480045a912
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2601.02 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5401
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.997
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.648
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5401
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.997
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.648
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..689d13c18947f9232d47e4cadf9250f91e5fd9a0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.54013794604875,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.4999)\n  centers[8] = (0.3001, 0.6999)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4998, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.6994, 0.2997)\n  centers[17] = (0.6998, 0.5003)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.8992, 0.2997)\n  centers[22] = (0.8997, 0.4998)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7991, 0.3997)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9189553489091777,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9974879870819511,
+        "aux_packing_efficiency": 0.7898972626442952,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6477592929740041
+    },
+    "private": {
+        "reported_sum_of_radii": 2.54013794604875
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5401\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.997\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.648\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_134/results/packing_viz.png",
+    "execution_time_mean": 2601.0209630308673,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..6b4754da71d645800bbea62c90a2bfc9936a0bac
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e4d812a7287b4a4c041a6966efcc71295266857
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190605159546648,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898979430577443,
+    "cell_size_std": 0.017524560225075234,
+    "coefficient_of_variation": 0.08806763280572455
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.998957029754515,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0741702405245957e-09,
+    "mean_density": 0.03139145406866651,
+    "cv": 0.001044059168131908
+  },
+  "packing_efficiency": 0.7901992815545567,
+  "packing_efficiency_details": {
+    "total_area": 0.7901992815545567,
+    "square_area": 1.0,
+    "efficiency": 0.7901992815545567,
+    "relative_to_estimated_best": 0.9407134304220913
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771287094540693,
+    "std": 0.011240910030068918,
+    "min": 0.04150890363067731,
+    "max": 0.1000060713360376,
+    "range": 0.058497167705360294,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070783488398313,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070783488398313,
+    "min_quality": 0.7065101046132303,
+    "max_quality": 0.7075445005854959
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6be59995228a3b5da6600e137f0ec8c7d06f84ae
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1123.28 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..18acfc40f96add7ca4374bd732324f050b61bd9f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.54053464458058,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190605159546648,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.998957029754515,
+        "aux_packing_efficiency": 0.7901992815545567,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070783488398313
+    },
+    "private": {
+        "reported_sum_of_radii": 2.54053464458058
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_135/results/packing_viz.png",
+    "execution_time_mean": 1123.2784919636324,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/__pycache__/main.cpython-311.pyc
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Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_136/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/__pycache__/main.cpython-311.pyc
new file mode 100644
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Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..85dd5d2cdf8b3e14a7d703f5c25d7a94536a8b5d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9189570972340378,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19879470000964627,
+    "cell_size_std": 0.017531721200919344,
+    "coefficient_of_variation": 0.0881900830951658
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9779879850326649,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.946454123038684e-07,
+    "mean_density": 0.031247890115883283,
+    "cv": 0.02250744927771266
+  },
+  "packing_efficiency": 0.786685373120721,
+  "packing_efficiency_details": {
+    "total_area": 0.786685373120721,
+    "square_area": 1.0,
+    "efficiency": 0.786685373120721,
+    "relative_to_estimated_best": 0.9365302060960964
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0974974801165594,
+    "std": 0.0111975396069138,
+    "min": 0.041796207049796065,
+    "max": 0.10004741853876915,
+    "range": 0.05825121148897309,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.7996,
+  "gap_analysis_details": {
+    "covered_samples": 1999,
+    "total_samples": 2500,
+    "coverage": 0.7996,
+    "gap_ratio": 0.20040000000000002
+  },
+  "geometric_quality": 0.661588648118818,
+  "geometric_quality_details": {
+    "num_triangles": 41,
+    "avg_triangle_quality": 0.661588648118818,
+    "min_quality": 0.33332935851099676,
+    "max_quality": 0.7076146827555808
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..d532c8252d0e6c42ad6b3b0e8f1dc0f0af0b30a1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1622.72 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5349
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.978
+    • packing_efficiency: 0.787
+    • radius_distribution: 0.148
+    • gap_analysis: 0.800
+    • geometric_quality: 0.662
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5349
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.978
+  • Area utilization efficiency: 0.787
+  • Area coverage (1 - gap ratio): 0.800
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.662
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d50ead5db2ba5a09461a476bc895e4857d8865ff
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5349344830305442,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3001)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4939, 0.2940)\n  centers[12] = (0.4998, 0.5002)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.5001)\n  centers[18] = (0.7000, 0.7001)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.5997, 0.3998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9189570972340378,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9779879850326649,
+        "aux_packing_efficiency": 0.786685373120721,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.7996,
+        "aux_geometric_quality": 0.661588648118818
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5349344830305442
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5349\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.978\n  \u2022 Area utilization efficiency: 0.787\n  \u2022 Area coverage (1 - gap ratio): 0.800\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.662\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_137/results/packing_viz.png",
+    "execution_time_mean": 1622.7154024261981,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..de5172fc133884cd790df25984b9d6e58c8531c7
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..9367ae30993cfd8d05c548bbf9263ba167b4a4fc
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190484946528442,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898461611352036,
+    "cell_size_std": 0.01752693616276631,
+    "coefficient_of_variation": 0.08808186490500029
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989595767489049,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0689065011403534e-09,
+    "mean_density": 0.03139118504278755,
+    "cv": 0.0010415068590475286
+  },
+  "packing_efficiency": 0.7901877745812835,
+  "packing_efficiency_details": {
+    "total_area": 0.7901877745812835,
+    "square_area": 1.0,
+    "efficiency": 0.7901877745812835,
+    "relative_to_estimated_best": 0.9406997316443851
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771175388650508,
+    "std": 0.01124435337572192,
+    "min": 0.041490566845859805,
+    "max": 0.10000657678850142,
+    "range": 0.05851600994264161,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6764865177172462,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6764865177172462,
+    "min_quality": 0.3333489901792424,
+    "max_quality": 0.7073002569653353
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..62aa90677fd5bca644a8b85bd3b319258d073507
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 3314.48 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.676
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.676
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..cfef8fdd493f06d6421f3990959d3479df6eca4c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540505601049132,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5001)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5001)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7001, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.3999, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190484946528442,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989595767489049,
+        "aux_packing_efficiency": 0.7901877745812835,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6764865177172462
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540505601049132
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.676\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_138/results/packing_viz.png",
+    "execution_time_mean": 3314.4789840751328,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..f776352d9621f48072ef4e1992de345bb7815f1f
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..5172efea5169fcfb955d40a3a89da3cff5d3d6fc
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190568366727431,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898691884631076,
+    "cell_size_std": 0.017525173754670567,
+    "coefficient_of_variation": 0.08807198869255468
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988465649701836,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3142250248247355e-09,
+    "mean_density": 0.03139355486655351,
+    "cv": 0.0011547669785006093
+  },
+  "packing_efficiency": 0.7902521082027311,
+  "packing_efficiency_details": {
+    "total_area": 0.7902521082027311,
+    "square_area": 1.0,
+    "efficiency": 0.7902521082027311,
+    "relative_to_estimated_best": 0.9407763192889655
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771612937217586,
+    "std": 0.011241352560347804,
+    "min": 0.04151007957811083,
+    "max": 0.10001374167251591,
+    "range": 0.05850366209440508,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.663504004278567,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.663504004278567,
+    "min_quality": 0.3333273100181663,
+    "max_quality": 0.7075064038524429
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a09cdaf15c13e6fd09647751f1de410089db307e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2128.08 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.664
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.664
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..019e74e4a0176f0b4fd103dbc5438e437e99b099
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406193636765724,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.6999, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190568366727431,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988465649701836,
+        "aux_packing_efficiency": 0.7902521082027311,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.663504004278567
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406193636765724
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.664\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_144/results/packing_viz.png",
+    "execution_time_mean": 2128.0773796779104,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..fe7b83e34415f37dcda949ef188c3ae0db89b845
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..47cd539bbfb01d98514a883edc1e5197b9b1d6fb
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190614017491903,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898972105307788,
+    "cell_size_std": 0.01752434509668338,
+    "coefficient_of_variation": 0.08806658412241508
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989658950808227,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0559592031656581e-09,
+    "mean_density": 0.03139132255857211,
+    "cv": 0.001035175399149794
+  },
+  "packing_efficiency": 0.7901962561508962,
+  "packing_efficiency_details": {
+    "total_area": 0.7901962561508962,
+    "square_area": 1.0,
+    "efficiency": 0.7901962561508962,
+    "relative_to_estimated_best": 0.9407098287510669
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771270852301502,
+    "std": 0.011240674389078234,
+    "min": 0.04150990952538363,
+    "max": 0.10000681070236211,
+    "range": 0.058496901176978484,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070770558933756,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070770558933756,
+    "min_quality": 0.7065245637722072,
+    "max_quality": 0.707545488269727
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..2eb6c00e1d43600433d4965c4256f55e3a662b3d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 916.41 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..ca9daed0be4bf9c0aaa5c3c58a1dfa577492e95f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405304215983904,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190614017491903,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989658950808227,
+        "aux_packing_efficiency": 0.7901962561508962,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070770558933756
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405304215983904
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_146/results/packing_viz.png",
+    "execution_time_mean": 916.41037254408,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..0909cb47beac0d8378c0fbfdb5245840443c64ae
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..c5357ab3890028887425b64d0f53137f0ac0e436
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190755751159398,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898280955390954,
+    "cell_size_std": 0.017520397605885352,
+    "coefficient_of_variation": 0.08804980468973037
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.998727920060522,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.5989272238543353e-09,
+    "mean_density": 0.03139403381950934,
+    "cv": 0.0012737001879358622
+  },
+  "packing_efficiency": 0.7902650176968906,
+  "packing_efficiency_details": {
+    "total_area": 0.7902650176968906,
+    "square_area": 1.0,
+    "efficiency": 0.7902650176968906,
+    "relative_to_estimated_best": 0.9407916877343936
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771699708902393,
+    "std": 0.011240839545063525,
+    "min": 0.04151366690231324,
+    "max": 0.10003646544905125,
+    "range": 0.058522798546738,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909308498964872,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909308498964872,
+    "min_quality": 0.3333293504121517,
+    "max_quality": 0.7075536635226275
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..146b64dd0330426ec6c5ab94c1d7332678684731
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2469.82 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..fd80379efaf4e8a3180e90897b8e4bd50a1f51aa
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540641924314622,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3001)\n  centers[12] = (0.4998, 0.5001)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.6999, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190755751159398,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.998727920060522,
+        "aux_packing_efficiency": 0.7902650176968906,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909308498964872
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540641924314622
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_147/results/packing_viz.png",
+    "execution_time_mean": 2469.8206041790545,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..6fb5c7a90c8ba102cf34cd772ea8c08ddd892334
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..61d8ff953d9671423c4ef6d788b1b59a3da2ce23
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190661176392816,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989842070881204,
+    "cell_size_std": 0.017522748559604097,
+    "coefficient_of_variation": 0.08806100106117028
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988039319570097,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.4133782068692316e-09,
+    "mean_density": 0.03139449762857926,
+    "cv": 0.0011975003348722603
+  },
+  "packing_efficiency": 0.7902766197688472,
+  "packing_efficiency_details": {
+    "total_area": 0.7902766197688472,
+    "square_area": 1.0,
+    "efficiency": 0.7902766197688472,
+    "relative_to_estimated_best": 0.9408054997248182
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771771039077588,
+    "std": 0.011240956823373059,
+    "min": 0.0415136931454409,
+    "max": 0.10000000705452725,
+    "range": 0.058486313909086346,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6808618316816613,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6808618316816613,
+    "min_quality": 0.333330889663797,
+    "max_quality": 0.7075667898935064
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..9025a3de598f6ee1c3b921cfc14c53c48ce59261
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2192.79 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.681
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.681
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..28502fbb3f0bfb71ee56c7dcbb965c4df7232548
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540660470160173,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190661176392816,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988039319570097,
+        "aux_packing_efficiency": 0.7902766197688472,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6808618316816613
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540660470160173
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.681\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_148/results/packing_viz.png",
+    "execution_time_mean": 2192.791616050061,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..2e86d066f312d906c0ca3245d8c9c8c7a355aefd
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..14c34c0b6f3e0ac01fbc136f635218903f005336
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190734319639245,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898294976442574,
+    "cell_size_std": 0.01752091480726038,
+    "coefficient_of_variation": 0.08805234187125531
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987763073938356,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.4794197039637721e-09,
+    "mean_density": 0.03139363330596896,
+    "cv": 0.0012251918643899297
+  },
+  "packing_efficiency": 0.7902492726403402,
+  "packing_efficiency_details": {
+    "total_area": 0.7902492726403402,
+    "square_area": 1.0,
+    "efficiency": 0.7902492726403402,
+    "relative_to_estimated_best": 0.9407729436194526
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771553995019618,
+    "std": 0.011244931489431311,
+    "min": 0.04149168492606747,
+    "max": 0.10001861776786856,
+    "range": 0.0585269328418011,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6857624569643815,
+  "geometric_quality_details": {
+    "num_triangles": 37,
+    "avg_triangle_quality": 0.6857624569643815,
+    "min_quality": 0.3333316845608444,
+    "max_quality": 0.7075030004235591
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..3afff0acf192cd16f169a6f76c73f66dd77b5d15
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1535.04 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.686
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.686
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..529d9a1d2263cfef37eeef5c0f657a9ff643a91f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406040387051005,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3001)\n  centers[12] = (0.5000, 0.5001)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7001, 0.1000)\n  centers[16] = (0.7000, 0.2999)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190734319639245,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987763073938356,
+        "aux_packing_efficiency": 0.7902492726403402,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6857624569643815
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406040387051005
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.686\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_149/results/packing_viz.png",
+    "execution_time_mean": 1535.0367494411767,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..9519b67400554214dc48687e2f10fbae0dc9528d
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..ff4920cf0a4d60cbf64b9c669a39eb8b38b0ef46
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.8876144946301354,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1928128753033816,
+    "cell_size_std": 0.02441304493816566,
+    "coefficient_of_variation": 0.12661522096560052
+  },
+  "edge_utilization": 0.45384615384615384,
+  "edge_utilization_details": {
+    "corners_touched": 2,
+    "edges_touched": 10,
+    "corner_score": 0.5,
+    "edge_score": 0.38461538461538464
+  },
+  "density_variance": 0.5292254662685403,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0005455418773521496,
+    "mean_density": 0.02625680039863766,
+    "cv": 0.8895538172998247
+  },
+  "packing_efficiency": 0.6305636162534357,
+  "packing_efficiency_details": {
+    "total_area": 0.6305636162534357,
+    "square_area": 1.0,
+    "efficiency": 0.6305636162534357,
+    "relative_to_estimated_best": 0.7506709717302806
+  },
+  "radius_distribution": 0.9450467888248784,
+  "radius_distribution_details": {
+    "mean": 0.08196378893992236,
+    "std": 0.03165013233000593,
+    "min": 0.011848876014474282,
+    "max": 0.17162704295532305,
+    "range": 0.15977816694084876,
+    "small_count": 7,
+    "medium_count": 6,
+    "large_count": 13,
+    "diversity_score": 0.9450467888248784
+  },
+  "gap_analysis": 0.6348,
+  "gap_analysis_details": {
+    "covered_samples": 1587,
+    "total_samples": 2500,
+    "coverage": 0.6348,
+    "gap_ratio": 0.36519999999999997
+  },
+  "geometric_quality": 0.6780657353311708,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6780657353311708,
+    "min_quality": 0.45846785609683854,
+    "max_quality": 0.9855984119233154
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..d39ae0568005c043461301e05e168aafef021438
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/job_log.out
@@ -0,0 +1,73 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 17.49 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.1311
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.888
+    • edge_utilization: 0.454
+    • density_variance: 0.529
+    • packing_efficiency: 0.631
+    • radius_distribution: 0.945
+    • gap_analysis: 0.635
+    • geometric_quality: 0.678
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.1311
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.888
+
+⚠️  Areas for Improvement:
+  • Boundary and corner utilization: 0.454
+    → Consider placing larger circles near boundaries and corners
+
+📊 Other Metrics:
+  • Spatial density uniformity across grid: 0.529
+  • Area utilization efficiency: 0.631
+  • Radius size diversity: 0.945
+  • Area coverage (1 - gap ratio): 0.635
+  • Delaunay triangulation quality: 0.678
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Only 2/4 corners are utilized. Place larger circles at unused corners.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..484c12ad631b24b0c3b2a71f344d9b9206019c46
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.1310585124379813,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1001, 0.3001)\n  centers[2] = (0.0748, 0.4742)\n  centers[3] = (0.0895, 0.6781)\n  centers[4] = (0.1015, 0.8680)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3075, 0.3443)\n  centers[7] = (0.1765, 0.5313)\n  centers[8] = (0.2289, 0.7087)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.4655, 0.0703)\n  centers[11] = (0.5541, 0.2694)\n  centers[12] = (0.6274, 0.6154)\n  centers[13] = (0.5373, 0.7414)\n  centers[14] = (0.4863, 0.9016)\n  centers[15] = (0.6829, 0.0987)\n  centers[16] = (0.6989, 0.3000)\n  centers[17] = (0.7011, 0.5015)\n  centers[18] = (0.7006, 0.6998)\n  centers[19] = (0.6994, 0.8997)\n  centers[20] = (0.8828, 0.1008)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9002, 0.4997)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4313, 0.5247)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.8876144946301354,
+        "aux_edge_utilization": 0.45384615384615384,
+        "aux_density_variance": 0.5292254662685403,
+        "aux_packing_efficiency": 0.6305636162534357,
+        "aux_radius_distribution": 0.9450467888248784,
+        "aux_gap_analysis": 0.6348,
+        "aux_geometric_quality": 0.6780657353311708
+    },
+    "private": {
+        "reported_sum_of_radii": 2.1310585124379813
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.1311\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.888\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Boundary and corner utilization: 0.454\n    \u2192 Consider placing larger circles near boundaries and corners\n\n\ud83d\udcca Other Metrics:\n  \u2022 Spatial density uniformity across grid: 0.529\n  \u2022 Area utilization efficiency: 0.631\n  \u2022 Radius size diversity: 0.945\n  \u2022 Area coverage (1 - gap ratio): 0.635\n  \u2022 Delaunay triangulation quality: 0.678\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Only 2/4 corners are utilized. Place larger circles at unused corners.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_15/results/packing_viz.png",
+    "execution_time_mean": 17.49144854582846,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..ddf024a0d77a26963ba18bac8ee36331ae9b62a8
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e08122e3db256b4c6f23cd3e0df60181705c32d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625012101759,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367081147457799e-10,
+    "mean_density": 0.03138971301778572,
+    "cv": 0.0007380430957139702
+  },
+  "packing_efficiency": 0.7901488308573078,
+  "packing_efficiency_details": {
+    "total_area": 0.7901488308573078,
+    "square_area": 1.0,
+    "efficiency": 0.7901488308573078,
+    "relative_to_estimated_best": 0.9406533700682236
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919056441288,
+    "std": 0.01124542723967504,
+    "min": 0.0414823452520988,
+    "max": 0.10001038684395715,
+    "range": 0.05852804159185835,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..b9496c9e73c5984375b61cbbdcc1e19b3354f69b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2890.21 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..601142dba4ce3db870ec51fb3040cf54a4fe4851
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438954674735,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625012101759,
+        "aux_packing_efficiency": 0.7901488308573078,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438954674735
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_151/results/packing_viz.png",
+    "execution_time_mean": 2890.210850025993,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..4589975d6ba9d201e01a40a964623ae7d591f1ba
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..33d2be9c18362206dda0daab5847d5083e669e81
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.7030140412413067,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.15006124078268368,
+    "cell_size_std": 0.0633928757449288,
+    "coefficient_of_variation": 0.42244669570796545
+  },
+  "edge_utilization": 0.28846153846153844,
+  "edge_utilization_details": {
+    "corners_touched": 1,
+    "edges_touched": 9,
+    "corner_score": 0.25,
+    "edge_score": 0.34615384615384615
+  },
+  "density_variance": 0.4052755873263681,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0007902233119792868,
+    "mean_density": 0.019156209313604223,
+    "cv": 1.4674567905682925
+  },
+  "packing_efficiency": 0.4165274514006916,
+  "packing_efficiency_details": {
+    "total_area": 0.4165274514006916,
+    "square_area": 1.0,
+    "efficiency": 0.4165274514006916,
+    "relative_to_estimated_best": 0.4958660135722519
+  },
+  "radius_distribution": 0.982944883585438,
+  "radius_distribution_details": {
+    "mean": 0.05785149514825715,
+    "std": 0.04186430592938113,
+    "min": 0.001023687611420796,
+    "max": 0.16593614085289526,
+    "range": 0.16491245324147447,
+    "small_count": 11,
+    "medium_count": 8,
+    "large_count": 7,
+    "diversity_score": 0.982944883585438
+  },
+  "gap_analysis": 0.4136,
+  "gap_analysis_details": {
+    "covered_samples": 1034,
+    "total_samples": 2500,
+    "coverage": 0.4136,
+    "gap_ratio": 0.5864
+  },
+  "geometric_quality": 0.46506016383989773,
+  "geometric_quality_details": {
+    "num_triangles": 42,
+    "avg_triangle_quality": 0.46506016383989773,
+    "min_quality": 0.07819142005358157,
+    "max_quality": 0.8601905815232816
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..09c359ce9f581859c9f56a52a4932d6ea2537f30
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/job_log.out
@@ -0,0 +1,78 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1268.98 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.5041
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.703
+    • edge_utilization: 0.288
+    • density_variance: 0.405
+    • packing_efficiency: 0.417
+    • radius_distribution: 0.983
+    • gap_analysis: 0.414
+    • geometric_quality: 0.465
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.5041
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.703
+
+⚠️  Areas for Improvement:
+  • Boundary and corner utilization: 0.288
+    → Consider placing larger circles near boundaries and corners
+  • Spatial density uniformity across grid: 0.405
+    → Balance circle density across different regions
+  • Area utilization efficiency: 0.417
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.414
+    → Identify and fill empty regions with additional circles or larger radii
+  • Delaunay triangulation quality: 0.465
+    → Improve triangle quality in Delaunay triangulation
+
+📊 Other Metrics:
+  • Radius size diversity: 0.983
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Only 1/4 corners are utilized. Place larger circles at unused corners.
+  2. Detected 58.6% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..1029ed6069e9e0cb244629186d3efdd1dc45cf02
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.504138873854686,
+    "public": {
+        "centers_str": "  centers[0] = (0.3686, 0.9444)\n  centers[1] = (0.7313, 0.6061)\n  centers[2] = (0.1470, 0.1542)\n  centers[3] = (0.0638, 0.8634)\n  centers[4] = (0.6106, 0.7067)\n  centers[5] = (0.0196, 0.9791)\n  centers[6] = (0.8340, 0.2102)\n  centers[7] = (0.1905, 0.1907)\n  centers[8] = (0.2994, 0.5295)\n  centers[9] = (0.4412, 0.2921)\n  centers[10] = (0.6119, 0.1316)\n  centers[11] = (0.2841, 0.3769)\n  centers[12] = (0.4475, 0.7967)\n  centers[13] = (0.2057, 0.5110)\n  centers[14] = (0.5900, 0.0535)\n  centers[15] = (0.6133, 0.1689)\n  centers[16] = (0.0699, 0.9494)\n  centers[17] = (0.9701, 0.8147)\n  centers[18] = (0.3003, 0.1054)\n  centers[19] = (0.6787, 0.4411)\n  centers[20] = (0.1116, 0.4943)\n  centers[21] = (0.0300, 0.9147)\n  centers[22] = (0.2537, 0.6697)\n  centers[23] = (0.3186, 0.5174)\n  centers[24] = (0.5407, 0.1844)\n  centers[25] = (0.9730, 0.7639)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.7030140412413067,
+        "aux_edge_utilization": 0.28846153846153844,
+        "aux_density_variance": 0.4052755873263681,
+        "aux_packing_efficiency": 0.4165274514006916,
+        "aux_radius_distribution": 0.982944883585438,
+        "aux_gap_analysis": 0.4136,
+        "aux_geometric_quality": 0.46506016383989773
+    },
+    "private": {
+        "reported_sum_of_radii": 1.504138873854686
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.5041\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.703\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Boundary and corner utilization: 0.288\n    \u2192 Consider placing larger circles near boundaries and corners\n  \u2022 Spatial density uniformity across grid: 0.405\n    \u2192 Balance circle density across different regions\n  \u2022 Area utilization efficiency: 0.417\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.414\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n  \u2022 Delaunay triangulation quality: 0.465\n    \u2192 Improve triangle quality in Delaunay triangulation\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.983\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Only 1/4 corners are utilized. Place larger circles at unused corners.\n  2. Detected 58.6% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_152/results/packing_viz.png",
+    "execution_time_mean": 1268.9773040618747,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..fbd9df68d80a32b6d8aef9d83c2de1664052e091
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..882548d16f09d3c8af89a4cc6133acf7c31cd3c8
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.919049417133815,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898133931296355,
+    "cell_size_std": 0.017526430219675333,
+    "coefficient_of_variation": 0.0880807727604471
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987817192643785,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.4658143205853371e-09,
+    "mean_density": 0.03138792992052134,
+    "cv": 0.0012197667539596405
+  },
+  "packing_efficiency": 0.7900883714463073,
+  "packing_efficiency_details": {
+    "total_area": 0.7900883714463073,
+    "square_area": 1.0,
+    "efficiency": 0.7900883714463073,
+    "relative_to_estimated_best": 0.9405813945789373
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770410395656166,
+    "std": 0.011256706396617433,
+    "min": 0.04142136618415544,
+    "max": 0.1000131413982818,
+    "range": 0.058591775214126354,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909035791218705,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909035791218705,
+    "min_quality": 0.3333769338350466,
+    "max_quality": 0.7081330613649673
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..20ac4ae257b5fc917fead04bde80f7204b85b09d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2501.96 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5403
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5403
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..902e8af97d6ee169fa57a72a8cb2ac8c11fc7f20
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5403067028706032,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.6999, 0.0999)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.6999, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.8998, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.6002, 0.2001)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.919049417133815,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987817192643785,
+        "aux_packing_efficiency": 0.7900883714463073,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909035791218705
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5403067028706032
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5403\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_153/results/packing_viz.png",
+    "execution_time_mean": 2501.96097851824,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..4f7ef3552bde169de2cd80c6e61f075edfe7dccc
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..086088176d3f82cfad39bcbba66264acf8919897
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190214010378646,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898134274865814,
+    "cell_size_std": 0.017533030697840638,
+    "coefficient_of_variation": 0.08811394258140783
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990203149176167,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 9.475548905587396e-10,
+    "mean_density": 0.03138990486023016,
+    "cv": 0.000980645806451011
+  },
+  "packing_efficiency": 0.7901417569902733,
+  "packing_efficiency_details": {
+    "total_area": 0.7901417569902733,
+    "square_area": 1.0,
+    "efficiency": 0.7901417569902733,
+    "relative_to_estimated_best": 0.9406449487979445
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770772670472343,
+    "std": 0.011254292230259855,
+    "min": 0.04143677897879103,
+    "max": 0.10000478135888195,
+    "range": 0.058568002380090925,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909068004773677,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909068004773677,
+    "min_quality": 0.3334381697480252,
+    "max_quality": 0.7072174730027575
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..29e05dda71f629427cb694c6255462d3b3b05df3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 3024.35 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5197d2aa0ea60df255ab16684490bd69c8f9c3d2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540400894322809,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5001)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3001)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7999, 0.3999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190214010378646,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990203149176167,
+        "aux_packing_efficiency": 0.7901417569902733,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909068004773677
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540400894322809
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_157/results/packing_viz.png",
+    "execution_time_mean": 3024.3517438997515,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..673022ec693120478a139622723830819381d3e9
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..0dc71fdb9a419814f58fcbb4d9bbe5fa1ffa1c00
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227789216950306,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19792821949761852,
+    "cell_size_std": 0.016563263696720128,
+    "coefficient_of_variation": 0.08368318401023273
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9991084728181737,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 7.845630428314894e-10,
+    "mean_density": 0.031390046750678746,
+    "cv": 0.0008923227117788004
+  },
+  "packing_efficiency": 0.7901594703139562,
+  "packing_efficiency_details": {
+    "total_area": 0.7901594703139562,
+    "square_area": 1.0,
+    "efficiency": 0.7901594703139562,
+    "relative_to_estimated_best": 0.9406660360880431
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771003726790473,
+    "std": 0.011243861756875943,
+    "min": 0.04149115387488305,
+    "max": 0.10000212800217145,
+    "range": 0.0585109741272884,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909510747501125,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909510747501125,
+    "min_quality": 0.33335561238158834,
+    "max_quality": 0.7074557668946958
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..f6bff1e8c7a6403f08be7adeb566fa728e5c7c99
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2086.41 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..7f15baae95a9b64ff4fe7a1b716706ad63388cdd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540460968965523,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.0999)\n  centers[16] = (0.7000, 0.2999)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7999, 0.2000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227789216950306,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9991084728181737,
+        "aux_packing_efficiency": 0.7901594703139562,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909510747501125
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540460968965523
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_158/results/packing_viz.png",
+    "execution_time_mean": 2086.408462763764,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..9d52becb9e577037fcf9b181435c535a73b979fd
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..840b5b0937415379324c0b99a709807421588135
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190674048059273,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898445348729432,
+    "cell_size_std": 0.017522467036391324,
+    "coefficient_of_variation": 0.0880594772166495
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988256390863504,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3624244943051778e-09,
+    "mean_density": 0.03139382993655042,
+    "cv": 0.001175741658698053
+  },
+  "packing_efficiency": 0.7902621529417532,
+  "packing_efficiency_details": {
+    "total_area": 0.7902621529417532,
+    "square_area": 1.0,
+    "efficiency": 0.7902621529417532,
+    "relative_to_estimated_best": 0.940788277311611
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771701698642311,
+    "std": 0.01123910640336374,
+    "min": 0.04152222427605118,
+    "max": 0.10000429634623362,
+    "range": 0.05848207207018244,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6955330387957681,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6955330387957681,
+    "min_quality": 0.49995596231775513,
+    "max_quality": 0.7076090593452837
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..007772d0efd41aa37a37f1e60f97049cbb56dd31
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1575.39 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.696
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.696
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..8593d100203b77a4a5f5c090e40481d722365489
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540642441647001,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190674048059273,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988256390863504,
+        "aux_packing_efficiency": 0.7902621529417532,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6955330387957681
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540642441647001
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.696\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_159/results/packing_viz.png",
+    "execution_time_mean": 1575.3891378813423,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..8a25fd47873c7b76ef42645cc0e5dc2d7709a3b4
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..97fce7c268dc429b62a89a101fb5f5bba22f9cf6
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9235822869888899,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19806533274820617,
+    "cell_size_std": 0.01638803606895311,
+    "coefficient_of_variation": 0.08274055716275253
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9875076084079326,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.5674976632396495e-07,
+    "mean_density": 0.031296682078320044,
+    "cv": 0.012650425663259078
+  },
+  "packing_efficiency": 0.7883437239370612,
+  "packing_efficiency_details": {
+    "total_area": 0.7883437239370612,
+    "square_area": 1.0,
+    "efficiency": 0.7883437239370612,
+    "relative_to_estimated_best": 0.9385044332584063
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09763977778851483,
+    "std": 0.010859096981788836,
+    "min": 0.04343406823109357,
+    "max": 0.10093217568814482,
+    "range": 0.05749810745705125,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8012,
+  "gap_analysis_details": {
+    "covered_samples": 2003,
+    "total_samples": 2500,
+    "coverage": 0.8012,
+    "gap_ratio": 0.19879999999999998
+  },
+  "geometric_quality": 0.6548028361368508,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6548028361368508,
+    "min_quality": 0.24915140683989553,
+    "max_quality": 0.7116150109490839
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..9d6233cabf39db7b83d75a7f3cbf1a2e17e05482
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 3161.61 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5386
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.924
+    • edge_utilization: 0.785
+    • density_variance: 0.988
+    • packing_efficiency: 0.788
+    • radius_distribution: 0.148
+    • gap_analysis: 0.801
+    • geometric_quality: 0.655
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5386
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.924
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.988
+  • Area utilization efficiency: 0.788
+  • Area coverage (1 - gap ratio): 0.801
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.655
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..bc6f4dce8ec213db19e67fc0aec244d959d2a6ce
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.538634222501386,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.0988, 0.6988)\n  centers[4] = (0.0973, 0.9027)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.2988, 0.7010)\n  centers[9] = (0.2990, 0.9011)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.1962, 0.8026)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9235822869888899,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9875076084079326,
+        "aux_packing_efficiency": 0.7883437239370612,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8012,
+        "aux_geometric_quality": 0.6548028361368508
+    },
+    "private": {
+        "reported_sum_of_radii": 2.538634222501386
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5386\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.924\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.988\n  \u2022 Area utilization efficiency: 0.788\n  \u2022 Area coverage (1 - gap ratio): 0.801\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.655\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_160/results/packing_viz.png",
+    "execution_time_mean": 3161.6077887280844,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b4365da5208017c7912e1ab95fac6ef43bd78f49
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..74d479177e362466b5c71cbd36afc4c4f14be76b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190716196452536,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898306273142005,
+    "cell_size_std": 0.017521351678800336,
+    "coefficient_of_variation": 0.08805448740325963
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987656552637092,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.5053729382470504e-09,
+    "mean_density": 0.03139418179527035,
+    "cv": 0.001235870226199152
+  },
+  "packing_efficiency": 0.7902685309659625,
+  "packing_efficiency_details": {
+    "total_area": 0.7902685309659625,
+    "square_area": 1.0,
+    "efficiency": 0.7902685309659625,
+    "relative_to_estimated_best": 0.9407958701975745
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771719731551914,
+    "std": 0.011241012162209374,
+    "min": 0.04151295333102026,
+    "max": 0.10000002240380579,
+    "range": 0.05848706907278553,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6764785462770609,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6764785462770609,
+    "min_quality": 0.3333268193118638,
+    "max_quality": 0.7075715984657183
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..5716be0c6b181749a83e8e9afa41dcb2a30263e6
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2167.98 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.676
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.676
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..b613db9590f027645b674d61c5c02e7904276063
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406471302034976,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4998, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190716196452536,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987656552637092,
+        "aux_packing_efficiency": 0.7902685309659625,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6764785462770609
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406471302034976
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.676\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_162/results/packing_viz.png",
+    "execution_time_mean": 2167.979800565634,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..7d6f99de94d6ef9240b768cbc0030ad7033fb7c5
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..27a413eb17ec06084384089046b2c85bc33fcad5
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190635346518073,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898771403574333,
+    "cell_size_std": 0.01752366587888624,
+    "coefficient_of_variation": 0.08806405900856008
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988402025572585,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.328719476860677e-09,
+    "mean_density": 0.03139283258109024,
+    "cv": 0.0011611441347396737
+  },
+  "packing_efficiency": 0.7902421422695993,
+  "packing_efficiency_details": {
+    "total_area": 0.7902421422695993,
+    "square_area": 1.0,
+    "efficiency": 0.7902421422695993,
+    "relative_to_estimated_best": 0.9407644550828563
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771621618812805,
+    "std": 0.011235169377076769,
+    "min": 0.041541090701020265,
+    "max": 0.10000078891923472,
+    "range": 0.05845969821821446,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7011409108107046,
+  "geometric_quality_details": {
+    "num_triangles": 35,
+    "avg_triangle_quality": 0.7011409108107046,
+    "min_quality": 0.49998981942056303,
+    "max_quality": 0.7076132301928196
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..31ae17b97b55ce8299b35f228b31484613b9cc03
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2717.55 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.701
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.701
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..8a19ce0552b50265cf05f7d11313fd2bfda52d53
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406216208913293,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3001, 0.5001)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190635346518073,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988402025572585,
+        "aux_packing_efficiency": 0.7902421422695993,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7011409108107046
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406216208913293
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.701\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_164/results/packing_viz.png",
+    "execution_time_mean": 2717.554622651078,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..569d9717dad089d0c9f8ed5d9588eba90aed7804
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e1e1878bd4d5dd89af01eb88c0fdc6a93b96d10
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.8723851493999664,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1950527950518152,
+    "cell_size_std": 0.02853284864419331,
+    "coefficient_of_variation": 0.14628269484849446
+  },
+  "edge_utilization": 0.7384615384615385,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 9,
+    "corner_score": 1.0,
+    "edge_score": 0.34615384615384615
+  },
+  "density_variance": 0.4826390169092217,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0013062075830426855,
+    "mean_density": 0.033715906590858095,
+    "cv": 1.0719418964589997
+  },
+  "packing_efficiency": 0.7120382467211703,
+  "packing_efficiency_details": {
+    "total_area": 0.7120382467211703,
+    "square_area": 1.0,
+    "efficiency": 0.7120382467211703,
+    "relative_to_estimated_best": 0.8476645794299648
+  },
+  "radius_distribution": 0.9947372351472321,
+  "radius_distribution_details": {
+    "mean": 0.08601424808600087,
+    "std": 0.036315439900066485,
+    "min": 0.02552631738378241,
+    "max": 0.1859036986848165,
+    "range": 0.16037738130103407,
+    "small_count": 10,
+    "medium_count": 8,
+    "large_count": 8,
+    "diversity_score": 0.9947372351472321
+  },
+  "gap_analysis": 0.7124,
+  "gap_analysis_details": {
+    "covered_samples": 1781,
+    "total_samples": 2500,
+    "coverage": 0.7124,
+    "gap_ratio": 0.28759999999999997
+  },
+  "geometric_quality": 0.6348188843056431,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6348188843056431,
+    "min_quality": 0.2867855697375068,
+    "max_quality": 0.9545766122690734
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..077ecb183300af5360bc65953a773f56b20ab53f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/job_log.out
@@ -0,0 +1,73 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 18.20 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.2364
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.872
+    • edge_utilization: 0.738
+    • density_variance: 0.483
+    • packing_efficiency: 0.712
+    • radius_distribution: 0.995
+    • gap_analysis: 0.712
+    • geometric_quality: 0.635
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.2364
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.872
+  • Boundary and corner utilization: 0.738
+  • Area utilization efficiency: 0.712
+  • Area coverage (1 - gap ratio): 0.712
+
+⚠️  Areas for Improvement:
+  • Spatial density uniformity across grid: 0.483
+    → Balance circle density across different regions
+
+📊 Other Metrics:
+  • Radius size diversity: 0.995
+  • Delaunay triangulation quality: 0.635
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5c82283b2394fcf8f76bc35b1ace947a9a7b7114
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.2363704502360227,
+    "public": {
+        "centers_str": "  centers[0] = (0.0775, 0.0782)\n  centers[1] = (0.0889, 0.2654)\n  centers[2] = (0.0776, 0.5234)\n  centers[3] = (0.1326, 0.7266)\n  centers[4] = (0.0741, 0.9247)\n  centers[5] = (0.7423, 0.0922)\n  centers[6] = (0.4109, 0.0605)\n  centers[7] = (0.2508, 0.1378)\n  centers[8] = (0.4900, 0.5623)\n  centers[9] = (0.2454, 0.9007)\n  centers[10] = (0.5535, 0.0568)\n  centers[11] = (0.9097, 0.4109)\n  centers[12] = (0.5322, 0.2303)\n  centers[13] = (0.5655, 0.9417)\n  centers[14] = (0.4266, 0.9176)\n  centers[15] = (0.7545, 0.3107)\n  centers[16] = (0.7827, 0.5287)\n  centers[17] = (0.5910, 0.4531)\n  centers[18] = (0.5936, 0.7210)\n  centers[19] = (0.6967, 0.9306)\n  centers[20] = (0.8921, 0.1037)\n  centers[21] = (0.9296, 0.2735)\n  centers[22] = (0.9442, 0.5255)\n  centers[23] = (0.9161, 0.6642)\n  centers[24] = (0.8798, 0.8757)\n  centers[25] = (0.3050, 0.4418)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.8723851493999664,
+        "aux_edge_utilization": 0.7384615384615385,
+        "aux_density_variance": 0.4826390169092217,
+        "aux_packing_efficiency": 0.7120382467211703,
+        "aux_radius_distribution": 0.9947372351472321,
+        "aux_gap_analysis": 0.7124,
+        "aux_geometric_quality": 0.6348188843056431
+    },
+    "private": {
+        "reported_sum_of_radii": 2.2363704502360227
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.2364\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.872\n  \u2022 Boundary and corner utilization: 0.738\n  \u2022 Area utilization efficiency: 0.712\n  \u2022 Area coverage (1 - gap ratio): 0.712\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Spatial density uniformity across grid: 0.483\n    \u2192 Balance circle density across different regions\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.995\n  \u2022 Delaunay triangulation quality: 0.635\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_17/results/packing_viz.png",
+    "execution_time_mean": 18.19800832308829,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..8f89ff1471abeccdd75b0d52b58d6abd6a4b6686
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..840b5b0937415379324c0b99a709807421588135
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190674048059273,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898445348729432,
+    "cell_size_std": 0.017522467036391324,
+    "coefficient_of_variation": 0.0880594772166495
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988256390863504,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3624244943051778e-09,
+    "mean_density": 0.03139382993655042,
+    "cv": 0.001175741658698053
+  },
+  "packing_efficiency": 0.7902621529417532,
+  "packing_efficiency_details": {
+    "total_area": 0.7902621529417532,
+    "square_area": 1.0,
+    "efficiency": 0.7902621529417532,
+    "relative_to_estimated_best": 0.940788277311611
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771701698642311,
+    "std": 0.01123910640336374,
+    "min": 0.04152222427605118,
+    "max": 0.10000429634623362,
+    "range": 0.05848207207018244,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6955330387957681,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6955330387957681,
+    "min_quality": 0.49995596231775513,
+    "max_quality": 0.7076090593452837
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..f0cdcd87d6a8df506e21b00b889ba9abc036e31d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1670.87 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.696
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.696
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..6068667f0df9415fd44a825286b67aa1fe334c52
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540642441647001,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190674048059273,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988256390863504,
+        "aux_packing_efficiency": 0.7902621529417532,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6955330387957681
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540642441647001
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.696\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_170/results/packing_viz.png",
+    "execution_time_mean": 1670.8657986200415,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..6afef5f556470a6cea9eb1e8c89c002f8ef69794
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..525f39946960df8c38830498800c7d77d81173c5
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190742417239779,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898260945535154,
+    "cell_size_std": 0.017520694089561636,
+    "coefficient_of_variation": 0.0880513832312648
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.998798194427867,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.42703444169828e-09,
+    "mean_density": 0.031395018910078704,
+    "cv": 0.001203251646666757
+  },
+  "packing_efficiency": 0.790292605213427,
+  "packing_efficiency_details": {
+    "total_area": 0.790292605213427,
+    "square_area": 1.0,
+    "efficiency": 0.790292605213427,
+    "relative_to_estimated_best": 0.9408245300159847
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771894365826109,
+    "std": 0.011238940761633008,
+    "min": 0.041525014355802796,
+    "max": 0.10001503884074237,
+    "range": 0.05849002448493957,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6765089631299074,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6765089631299074,
+    "min_quality": 0.33332956373093037,
+    "max_quality": 0.7076239060005192
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..f4fa7563ae5170d8f6dee8c4a949d3bcb2bf350b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2177.76 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.677
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.677
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..6da9c0880de542f11a9c038de6fb5912069f85dd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406925351147884,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3001)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3001)\n  centers[17] = (0.7000, 0.5001)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190742417239779,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.998798194427867,
+        "aux_packing_efficiency": 0.790292605213427,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6765089631299074
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406925351147884
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.677\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_173/results/packing_viz.png",
+    "execution_time_mean": 2177.759698722046,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..3e3d6b74f6d33a0229cb1098f526b9fa62c48947
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..840b5b0937415379324c0b99a709807421588135
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190674048059273,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898445348729432,
+    "cell_size_std": 0.017522467036391324,
+    "coefficient_of_variation": 0.0880594772166495
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988256390863504,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3624244943051778e-09,
+    "mean_density": 0.03139382993655042,
+    "cv": 0.001175741658698053
+  },
+  "packing_efficiency": 0.7902621529417532,
+  "packing_efficiency_details": {
+    "total_area": 0.7902621529417532,
+    "square_area": 1.0,
+    "efficiency": 0.7902621529417532,
+    "relative_to_estimated_best": 0.940788277311611
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771701698642311,
+    "std": 0.01123910640336374,
+    "min": 0.04152222427605118,
+    "max": 0.10000429634623362,
+    "range": 0.05848207207018244,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6955330387957681,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6955330387957681,
+    "min_quality": 0.49995596231775513,
+    "max_quality": 0.7076090593452837
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..ca5f1e7fc95a54426e176a1d8cdd6ecbc80cb4b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1690.55 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.696
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.696
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..b7d0bfc598a73f717e1ff2f2f4834df9146b97b9
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540642441647001,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190674048059273,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988256390863504,
+        "aux_packing_efficiency": 0.7902621529417532,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6955330387957681
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540642441647001
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.696\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_174/results/packing_viz.png",
+    "execution_time_mean": 1690.5472971359268,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..cd2299a5309eca5ec9496e2b50382ef527ed71f1
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..8786b4cdd12da7bb6d9c2fe8b1a5ca5179ca287f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190714402377514,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898645744761367,
+    "cell_size_std": 0.017521692862298145,
+    "coefficient_of_variation": 0.08805469979712718
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987965969455673,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.4308234374488177e-09,
+    "mean_density": 0.03139488910808848,
+    "cv": 0.001204852978186826
+  },
+  "packing_efficiency": 0.7902894722236309,
+  "packing_efficiency_details": {
+    "total_area": 0.7902894722236309,
+    "square_area": 1.0,
+    "efficiency": 0.7902894722236309,
+    "relative_to_estimated_best": 0.9408208002662273
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771876142389596,
+    "std": 0.011238818829985666,
+    "min": 0.04152544385124193,
+    "max": 0.10000307741416803,
+    "range": 0.058477633562926096,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6718443339705179,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6718443339705179,
+    "min_quality": 0.33335041741735943,
+    "max_quality": 0.7076182249605235
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..cb31110ed998f2ebbe34040266f628ff9343e097
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2252.93 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.672
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.672
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d7ab8b9e28612fd4faf274a1ba8de68ac99e807f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540687797021295,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3001)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190714402377514,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987965969455673,
+        "aux_packing_efficiency": 0.7902894722236309,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6718443339705179
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540687797021295
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.672\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_175/results/packing_viz.png",
+    "execution_time_mean": 2252.933187440969,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..2bea209f01e25c3e1c8e807ed7699a27607d7e79
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..51bdf7899f9b2392320869817abf204544e9b0bd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190926784520531,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898688445558443,
+    "cell_size_std": 0.017516727423500324,
+    "coefficient_of_variation": 0.08802955724140024
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989535062006177,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0815776101019163e-09,
+    "mean_density": 0.03139333442061495,
+    "cv": 0.0010475900959219752
+  },
+  "packing_efficiency": 0.7902479544609915,
+  "packing_efficiency_details": {
+    "total_area": 0.7902479544609915,
+    "square_area": 1.0,
+    "efficiency": 0.7902479544609915,
+    "relative_to_estimated_best": 0.9407713743583233
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771599489359681,
+    "std": 0.01124025959916194,
+    "min": 0.04151528372251645,
+    "max": 0.10000386019279295,
+    "range": 0.0584885764702765,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6676771829939991,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6676771829939991,
+    "min_quality": 0.3333047671726881,
+    "max_quality": 0.7074433112899385
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..f8f828d97f9629268032cfe71fa820cfb3896097
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2171.71 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.668
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.668
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..23c6cd92cddf084e2398980f1f9965dbf4edddfc
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540615867233517,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9001)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4999, 0.4999)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3001)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.3999, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190926784520531,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989535062006177,
+        "aux_packing_efficiency": 0.7902479544609915,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6676771829939991
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540615867233517
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.668\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_178/results/packing_viz.png",
+    "execution_time_mean": 2171.708915472962,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..61f473403de1354a22f3e9ae8d9a550dd362e57f
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..1a0677f991fc55adc3a8f25d12d0c5b6c5c6cc6c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190814088638207,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989869630757191,
+    "cell_size_std": 0.01751938906845896,
+    "coefficient_of_variation": 0.08804289843726865
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987992513527912,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.4244229620299323e-09,
+    "mean_density": 0.03139392173841008,
+    "cv": 0.0012021921778399508
+  },
+  "packing_efficiency": 0.7902725147655709,
+  "packing_efficiency_details": {
+    "total_area": 0.7902725147655709,
+    "square_area": 1.0,
+    "efficiency": 0.7902725147655709,
+    "relative_to_estimated_best": 0.9408006128161559
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771834555301087,
+    "std": 0.011233197248725842,
+    "min": 0.041553132779650816,
+    "max": 0.10000017987624985,
+    "range": 0.05844704709659903,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6718438098406464,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6718438098406464,
+    "min_quality": 0.33334071641218055,
+    "max_quality": 0.7073849198041049
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..00b482148a75d60928b5318609ab9f97c0f66747
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2161.67 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.672
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.672
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..f7126b8e563f61b33268aabe5ece82902c43bc5b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540676984378283,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3002, 0.5000)\n  centers[8] = (0.3000, 0.7001)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3001)\n  centers[12] = (0.5001, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5001, 0.9001)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190814088638207,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987992513527912,
+        "aux_packing_efficiency": 0.7902725147655709,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6718438098406464
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540676984378283
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.672\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_179/results/packing_viz.png",
+    "execution_time_mean": 2161.66572966706,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..69c6775de7b56ab3ca8f075016b515df6a348d6c
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..1fca2e4719ea2fecb0b71b3718a48ec4e47c88df
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539162,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765068,
+    "coefficient_of_variation": 0.08804167661183827
+  },
+  "edge_utilization": 0.0,
+  "edge_utilization_details": {
+    "corners_touched": 0,
+    "edges_touched": 0,
+    "corner_score": 0.0,
+    "edge_score": 0.0
+  },
+  "density_variance": NaN,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": NaN,
+    "mean_density": Infinity,
+    "cv": NaN
+  },
+  "packing_efficiency": Infinity,
+  "packing_efficiency_details": {
+    "total_area": Infinity,
+    "square_area": 1.0,
+    "efficiency": Infinity,
+    "relative_to_estimated_best": Infinity
+  },
+  "radius_distribution": -9.102393014852489e-10,
+  "radius_distribution_details": {
+    "mean": -5.494034259689687e+205,
+    "std": Infinity,
+    "min": -1.5955691625806128e+206,
+    "max": 1.5955691625806128e+206,
+    "range": 3.1911383251612256e+206,
+    "small_count": 0,
+    "medium_count": 26,
+    "large_count": 0,
+    "diversity_score": -9.102393014852489e-10
+  },
+  "gap_analysis": 1.0,
+  "gap_analysis_details": {
+    "covered_samples": 2500,
+    "total_samples": 2500,
+    "coverage": 1.0,
+    "gap_ratio": 0.0
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..5de4c235a2f1605d9ff187b853f46b7084e97e18
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": false,
+    "error": "Validation failed: Negative radii found for circles at indices: [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n 24]"
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..52e1e7b02f80e30ad8be8d36894c89ec2181f264
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/job_log.err
@@ -0,0 +1,17 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
+/home/tengxiao/pj/ShinkaEvolve/examples/circle_packing/auxiliary_eval.py:248: RuntimeWarning: overflow encountered in scalar power
+  grid[i, j] += np.pi * radius**2  # Area contribution
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/numpy/_core/_methods.py:188: RuntimeWarning: invalid value encountered in subtract
+  x = um.subtract(arr, arrmean, out=...)
+/home/tengxiao/pj/ShinkaEvolve/examples/circle_packing/auxiliary_eval.py:281: RuntimeWarning: overflow encountered in square
+  total_area = float(np.sum(np.pi * radii**2))
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/numpy/_core/_methods.py:190: RuntimeWarning: overflow encountered in square
+  x = um.square(x, out=x)
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6419d69f38f6b41e85b6db55430451554a6e93a3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/job_log.out
@@ -0,0 +1,75 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.35 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/metrics.json
+
+======================================================================
+❌ EVALUATION FAILED
+Error: Validation failed: Negative radii found for circles at indices: [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23
+ 24]
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): -1428448907519318728412552329558780132419878724598261304944978030937662981579414389026470959367186379558802312574670863788173824999558047439298248808489648123534543873929211222513606862845124573286202513293312.0000
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.000
+    • density_variance: nan
+    • packing_efficiency: inf
+    • radius_distribution: -0.000
+    • gap_analysis: 1.000
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): -1428448907519318728412552329558780132419878724598261304944978030937662981579414389026470959367186379558802312574670863788173824999558047439298248808489648123534543873929211222513606862845124573286202513293312.0000
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Area utilization efficiency: inf
+  • Area coverage (1 - gap ratio): 1.000
+  • Delaunay triangulation quality: 0.707
+
+⚠️  Areas for Improvement:
+  • Boundary and corner utilization: 0.000
+    → Consider placing larger circles near boundaries and corners
+
+📊 Other Metrics:
+  • Spatial density uniformity across grid: nan
+  • Radius size diversity: -0.000
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Only 0/4 corners are utilized. Place larger circles at unused corners.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..a2ebaad77d2595f8e230fb8c6e054ff7a4356c90
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/metrics.json
@@ -0,0 +1,26 @@
+{
+    "combined_score": -1.4284489075193187e+207,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539162,
+        "aux_edge_utilization": 0.0,
+        "aux_density_variance": NaN,
+        "aux_packing_efficiency": Infinity,
+        "aux_radius_distribution": -9.102393014852489e-10,
+        "aux_gap_analysis": 1.0,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": -1.4284489075193187e+207
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): -1428448907519318728412552329558780132419878724598261304944978030937662981579414389026470959367186379558802312574670863788173824999558047439298248808489648123534543873929211222513606862845124573286202513293312.0000\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Area utilization efficiency: inf\n  \u2022 Area coverage (1 - gap ratio): 1.000\n  \u2022 Delaunay triangulation quality: 0.707\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Boundary and corner utilization: 0.000\n    \u2192 Consider placing larger circles near boundaries and corners\n\n\ud83d\udcca Other Metrics:\n  \u2022 Spatial density uniformity across grid: nan\n  \u2022 Radius size diversity: -0.000\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Only 0/4 corners are utilized. Place larger circles at unused corners.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_18/results/packing_viz.png",
+    "execution_time_mean": 0.35069908294826746,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 0,
+    "num_invalid_runs": 1,
+    "all_validation_errors": [
+        "Negative radii found for circles at indices: [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n 24]"
+    ]
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..8a297d29af9585a9d0b74741550e5bb6cf77f0dd
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..e46596c135fc2c446dcb11928f1c3473effbe909
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190629039837753,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898638432239507,
+    "cell_size_std": 0.017523697349713156,
+    "coefficient_of_variation": 0.08806480564648429
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988885382608795,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.22024124248278e-09,
+    "mean_density": 0.03139390563908853,
+    "cv": 0.001112698460886891
+  },
+  "packing_efficiency": 0.790262813089183,
+  "packing_efficiency_details": {
+    "total_area": 0.790262813089183,
+    "square_area": 1.0,
+    "efficiency": 0.790262813089183,
+    "relative_to_estimated_best": 0.9407890632014084
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771695291372606,
+    "std": 0.011240022985147653,
+    "min": 0.04151750014905404,
+    "max": 0.10000131745871169,
+    "range": 0.05848381730965765,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6634998135829854,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6634998135829854,
+    "min_quality": 0.33330617800804785,
+    "max_quality": 0.7074446515129018
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a8fbe09f65a71f41ca31c993f56726fb9908fd71
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2271.08 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.663
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.663
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..a8fec460ffc832c0709fb41deaa4d9a6a1ac37e2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406407757568776,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3000)\n  centers[7] = (0.3000, 0.5001)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4999, 0.5001)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.3999, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190629039837753,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988885382608795,
+        "aux_packing_efficiency": 0.790262813089183,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6634998135829854
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406407757568776
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.663\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_181/results/packing_viz.png",
+    "execution_time_mean": 2271.083142892923,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..64e892fa4ceaff445365972e100db1a8615f5942
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..7d83d46a182e97a864c3202f5d22d7550efa62bd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.919295091175966,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19893585194988278,
+    "cell_size_std": 0.017464576965829294,
+    "coefficient_of_variation": 0.08778999213494756
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9936612296658615,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 3.998128148439388e-08,
+    "mean_density": 0.031344523309979236,
+    "cv": 0.006379206660070833
+  },
+  "packing_efficiency": 0.7893493554327128,
+  "packing_efficiency_details": {
+    "total_area": 0.7893493554327128,
+    "square_area": 1.0,
+    "efficiency": 0.7893493554327128,
+    "relative_to_estimated_best": 0.9397016136103724
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09768750800844078,
+    "std": 0.010995844920935196,
+    "min": 0.042730695113919734,
+    "max": 0.10026762698123139,
+    "range": 0.05753693186731165,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8036,
+  "gap_analysis_details": {
+    "covered_samples": 2009,
+    "total_samples": 2500,
+    "coverage": 0.8036,
+    "gap_ratio": 0.19640000000000002
+  },
+  "geometric_quality": 0.6630780520426017,
+  "geometric_quality_details": {
+    "num_triangles": 41,
+    "avg_triangle_quality": 0.6630780520426017,
+    "min_quality": 0.33316178146061964,
+    "max_quality": 0.7123464781152257
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..dfa167d219f3e5924b6c931a4d16b9302cb22f2e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2551.69 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5399
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.994
+    • packing_efficiency: 0.789
+    • radius_distribution: 0.148
+    • gap_analysis: 0.804
+    • geometric_quality: 0.663
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5399
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.994
+  • Area utilization efficiency: 0.789
+  • Area coverage (1 - gap ratio): 0.804
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.663
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..03151aa6fd67dd537062b747d9298b8f9831b701
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5398752082194602,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3001, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.5000, 0.5001)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.6987, 0.2987)\n  centers[17] = (0.6993, 0.5010)\n  centers[18] = (0.7001, 0.7001)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9002, 0.2998)\n  centers[22] = (0.8997, 0.4998)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7981, 0.3991)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.919295091175966,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9936612296658615,
+        "aux_packing_efficiency": 0.7893493554327128,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8036,
+        "aux_geometric_quality": 0.6630780520426017
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5398752082194602
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5399\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.994\n  \u2022 Area utilization efficiency: 0.789\n  \u2022 Area coverage (1 - gap ratio): 0.804\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.663\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_182/results/packing_viz.png",
+    "execution_time_mean": 2551.685393634718,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..cd3001c0bf2c0b1c05fff55cf11e7e4b75afcfd4
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..db41c9bba026c8acd7b9c57387269fb5ec230993
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190574535517938,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989881663352681,
+    "cell_size_std": 0.01752513829786452,
+    "coefficient_of_variation": 0.08807125836953428
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989511262637111,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0865958859912425e-09,
+    "mean_density": 0.03139460652893677,
+    "cv": 0.0010499750275189336
+  },
+  "packing_efficiency": 0.7902795350030276,
+  "packing_efficiency_details": {
+    "total_area": 0.7902795350030276,
+    "square_area": 1.0,
+    "efficiency": 0.7902795350030276,
+    "relative_to_estimated_best": 0.9408089702416996
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771790951009056,
+    "std": 0.011240813386964149,
+    "min": 0.041514432007723326,
+    "max": 0.1,
+    "range": 0.05848556799227668,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6902621320683484,
+  "geometric_quality_details": {
+    "num_triangles": 37,
+    "avg_triangle_quality": 0.6902621320683484,
+    "min_quality": 0.4999747675534432,
+    "max_quality": 0.7075039822942092
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..35a060caf07a6c4cdc61b431b0287b250aedf99c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1808.95 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.690
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.690
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..bb9547bbfe1887283fb58489f673b9e46be41155
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406656472623546,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190574535517938,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989511262637111,
+        "aux_packing_efficiency": 0.7902795350030276,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6902621320683484
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406656472623546
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.690\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_183/results/packing_viz.png",
+    "execution_time_mean": 1808.9519600542262,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/__pycache__/main.cpython-311.pyc
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..ba48e6db15b94e5f573cb782916cc703a4c4669b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190553236894471,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898353911674513,
+    "cell_size_std": 0.01752523251943032,
+    "coefficient_of_variation": 0.08807377991741495
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988079644519904,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.403919562187047e-09,
+    "mean_density": 0.031395245891866506,
+    "cv": 0.0011934581926003633
+  },
+  "packing_efficiency": 0.7902949141669479,
+  "packing_efficiency_details": {
+    "total_area": 0.7902949141669479,
+    "square_area": 1.0,
+    "efficiency": 0.7902949141669479,
+    "relative_to_estimated_best": 0.940827278770176
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771879520477902,
+    "std": 0.011241488809484262,
+    "min": 0.04151211288655465,
+    "max": 0.10003468023683988,
+    "range": 0.05852256735028523,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6720038523494472,
+  "geometric_quality_details": {
+    "num_triangles": 39,
+    "avg_triangle_quality": 0.6720038523494472,
+    "min_quality": 0.33333031671359226,
+    "max_quality": 0.7076685900039478
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..f04801c1e420017e472242818b0a26d30ffbb082
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2163.03 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.672
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.672
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..8457dc3d7a412a9a1adfc9b7c5f53bbc8bbdb1a5
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406886753242546,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3001, 0.5001)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5001, 0.3001)\n  centers[12] = (0.4999, 0.5001)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.5001)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190553236894471,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988079644519904,
+        "aux_packing_efficiency": 0.7902949141669479,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6720038523494472
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406886753242546
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.672\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_184/results/packing_viz.png",
+    "execution_time_mean": 2163.0349753000773,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..2982c12743a654de1e98b8d42f7343be351450fc
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..14741f21c5fb87a3e7dfc53dd08ddb6ad240142e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190700682336845,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898044897655254,
+    "cell_size_std": 0.017521486985624102,
+    "coefficient_of_variation": 0.08805632406444351
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9985446011477696,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 2.0939300256506558e-09,
+    "mean_density": 0.031395435245866236,
+    "cv": 0.0014575201253478722
+  },
+  "packing_efficiency": 0.7903006476456699,
+  "packing_efficiency_details": {
+    "total_area": 0.7903006476456699,
+    "square_area": 1.0,
+    "efficiency": 0.7903006476456699,
+    "relative_to_estimated_best": 0.9408341043400832
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771922404799953,
+    "std": 0.011240883042489122,
+    "min": 0.04151594522605705,
+    "max": 0.10005890588119122,
+    "range": 0.058542960655134174,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070655314842298,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070655314842298,
+    "min_quality": 0.7061846515153803,
+    "max_quality": 0.7075846318126112
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..4cca68470c850082a076a50876826b75557ca9d6
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2939.65 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..a91d04973b162ed6e305aa935783dd0db4b127e9
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406998252479878,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3002, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3002)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190700682336845,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9985446011477696,
+        "aux_packing_efficiency": 0.7903006476456699,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070655314842298
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406998252479878
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_186/results/packing_viz.png",
+    "execution_time_mean": 2939.65238820808,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..e1fe7d3a0832b24374e712e04a5fd7aa61baf7e9
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..f89adcffab60bcbf3673bdf3cb32c8544ad0e4ad
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190768789931834,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898415193785202,
+    "cell_size_std": 0.017520208651389802,
+    "coefficient_of_variation": 0.08804826109374561
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987563142754678,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.528231897490895e-09,
+    "mean_density": 0.03139377236153043,
+    "cv": 0.001245234404785081
+  },
+  "packing_efficiency": 0.7902647646706045,
+  "packing_efficiency_details": {
+    "total_area": 0.7902647646706045,
+    "square_area": 1.0,
+    "efficiency": 0.7902647646706045,
+    "relative_to_estimated_best": 0.9407913865126244
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771752394036365,
+    "std": 0.011236120817113749,
+    "min": 0.04153774928177427,
+    "max": 0.1000295456118979,
+    "range": 0.058491796330123635,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6857857303934306,
+  "geometric_quality_details": {
+    "num_triangles": 37,
+    "avg_triangle_quality": 0.6857857303934306,
+    "min_quality": 0.3333333569076012,
+    "max_quality": 0.7076887625607592
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..c845caa655c8221772d2fe7c667aaa966db15c33
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2074.81 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.686
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.686
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..095ac0aa280790f4ab490a42782000cd20acc638
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406556224494548,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.4999)\n  centers[8] = (0.3000, 0.6999)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3001)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190768789931834,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987563142754678,
+        "aux_packing_efficiency": 0.7902647646706045,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6857857303934306
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406556224494548
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.686\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_188/results/packing_viz.png",
+    "execution_time_mean": 2074.805899288971,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b82b6685a5adc9cdba7005509e0e264854cb8481
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..bca0de8da1cb474181c77f7d15b75bcf79f66836
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539162,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765068,
+    "coefficient_of_variation": 0.08804167661183827
+  },
+  "edge_utilization": 0.5576923076923077,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 7,
+    "corner_score": 0.75,
+    "edge_score": 0.2692307692307692
+  },
+  "density_variance": 0.5266953704227482,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00021255780102229574,
+    "mean_density": 0.01622397416116954,
+    "cv": 0.8986307003180176
+  },
+  "packing_efficiency": 0.5003685136381619,
+  "packing_efficiency_details": {
+    "total_area": 0.5003685136381619,
+    "square_area": 1.0,
+    "efficiency": 0.5003685136381619,
+    "relative_to_estimated_best": 0.5956768019501928
+  },
+  "radius_distribution": 0.9341661379115739,
+  "radius_distribution_details": {
+    "mean": 0.07384972812578525,
+    "std": 0.02592437498360417,
+    "min": 0.018763537743601944,
+    "max": 0.10261558125579377,
+    "range": 0.08385204351219183,
+    "small_count": 8,
+    "medium_count": 5,
+    "large_count": 13,
+    "diversity_score": 0.9341661379115739
+  },
+  "gap_analysis": 0.5056,
+  "gap_analysis_details": {
+    "covered_samples": 1264,
+    "total_samples": 2500,
+    "coverage": 0.5056,
+    "gap_ratio": 0.49439999999999995
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..c82988f9bfe1aec398fa80eba47d9b4cc99dc15c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.9201
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.558
+    • density_variance: 0.527
+    • packing_efficiency: 0.500
+    • radius_distribution: 0.934
+    • gap_analysis: 0.506
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.9201
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.558
+  • Spatial density uniformity across grid: 0.527
+  • Area utilization efficiency: 0.500
+  • Radius size diversity: 0.934
+  • Area coverage (1 - gap ratio): 0.506
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..e3e0b4cfeb53bf2d44f68348c49e4330c9124029
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.9200929312704162,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539162,
+        "aux_edge_utilization": 0.5576923076923077,
+        "aux_density_variance": 0.5266953704227482,
+        "aux_packing_efficiency": 0.5003685136381619,
+        "aux_radius_distribution": 0.9341661379115739,
+        "aux_gap_analysis": 0.5056,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 1.9200929312704162
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.9201\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.558\n  \u2022 Spatial density uniformity across grid: 0.527\n  \u2022 Area utilization efficiency: 0.500\n  \u2022 Radius size diversity: 0.934\n  \u2022 Area coverage (1 - gap ratio): 0.506\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_19/results/packing_viz.png",
+    "execution_time_mean": 0.0038209189660847187,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..3b31f70ef579cdebe300ef876f2e8e52959f6997
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..a2d6af14ba97788882d05fc2998483dac42ee154
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190525618122648,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989867334684273,
+    "cell_size_std": 0.017526164506630904,
+    "coefficient_of_variation": 0.08807704972620542
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988933328363195,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.2097846558597888e-09,
+    "mean_density": 0.03139468374200752,
+    "cv": 0.0011078932327419951
+  },
+  "packing_efficiency": 0.790280530589494,
+  "packing_efficiency_details": {
+    "total_area": 0.790280530589494,
+    "square_area": 1.0,
+    "efficiency": 0.790280530589494,
+    "relative_to_estimated_best": 0.9408101554636834
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771788837306583,
+    "std": 0.011241539271214688,
+    "min": 0.041510848315164495,
+    "max": 0.10000273628466488,
+    "range": 0.05849188796950039,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6719667614381135,
+  "geometric_quality_details": {
+    "num_triangles": 39,
+    "avg_triangle_quality": 0.6719667614381135,
+    "min_quality": 0.33333168676673214,
+    "max_quality": 0.7074493542414095
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..d640164b7e100a8afd8e96823fead4f8b1070d34
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2925.39 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.672
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.672
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d839536bc6b6b46cd8fd70d3201f1939b277202f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406650976997116,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190525618122648,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988933328363195,
+        "aux_packing_efficiency": 0.790280530589494,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6719667614381135
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406650976997116
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.672\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_191/results/packing_viz.png",
+    "execution_time_mean": 2925.389552761335,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..252a5a1b26b7acff177878be18d052290b65a367
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..08e913700f3ef03a7b345fc14a854d64dd412fe9
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190494016046598,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898736409703785,
+    "cell_size_std": 0.017526964545749604,
+    "coefficient_of_variation": 0.08808079114572141
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987129610472413,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.6367844762109204e-09,
+    "mean_density": 0.03139386090529673,
+    "cv": 0.0012886975567124612
+  },
+  "packing_efficiency": 0.7902589369597527,
+  "packing_efficiency_details": {
+    "total_area": 0.7902589369597527,
+    "square_area": 1.0,
+    "efficiency": 0.7902589369597527,
+    "relative_to_estimated_best": 0.9407844487616104
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771647269546475,
+    "std": 0.011242086690801737,
+    "min": 0.04150692699433839,
+    "max": 0.10006206035911072,
+    "range": 0.05855513336477233,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6635200955929365,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6635200955929365,
+    "min_quality": 0.33333279353589584,
+    "max_quality": 0.7075559954774586
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..070ca6fe68ca8f60698085067de14bc0d65b8d46
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2140.88 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.664
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.664
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..534fed764a1e6c2b3d0080d17cbbe49a809b656d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406282900820836,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.6999, 0.3000)\n  centers[17] = (0.7001, 0.5001)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190494016046598,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987129610472413,
+        "aux_packing_efficiency": 0.7902589369597527,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6635200955929365
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406282900820836
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.664\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_192/results/packing_viz.png",
+    "execution_time_mean": 2140.877229247242,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a64158d28cd2663af0638c2ace72a1fcb3d6a139
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..b128ca30eaff15ec5fb1f06353927681f36fbdf0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190567215644602,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989837390624058,
+    "cell_size_std": 0.01752492082164346,
+    "coefficient_of_variation": 0.08807212496934297
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988427711235129,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3229484103065128e-09,
+    "mean_density": 0.03139419194930103,
+    "cv": 0.0011585696066914004
+  },
+  "packing_efficiency": 0.7902677370967588,
+  "packing_efficiency_details": {
+    "total_area": 0.7902677370967588,
+    "square_area": 1.0,
+    "efficiency": 0.7902677370967588,
+    "relative_to_estimated_best": 0.940794925115189
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771706058659593,
+    "std": 0.011241768404199708,
+    "min": 0.04150893632266332,
+    "max": 0.10002089495725869,
+    "range": 0.058511958634595365,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6852793954463609,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6852793954463609,
+    "min_quality": 0.4999646127722052,
+    "max_quality": 0.7075210339296408
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6e6a6d10a816e00669ba3c1c0515ad2b3b215c51
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2356.39 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.685
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.685
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..36fe23b425b8ffb163a9eeb9ba95555b9447eedc
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540643575251494,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3000, 0.5001)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4999, 0.5000)\n  centers[13] = (0.5000, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190567215644602,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988427711235129,
+        "aux_packing_efficiency": 0.7902677370967588,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6852793954463609
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540643575251494
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.685\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_193/results/packing_viz.png",
+    "execution_time_mean": 2356.3908169749193,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..87ff90ba5dddd9398d272b5edf2e725847572a91
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..cb6bc847800204aac3ba318d3f7613e0c84c27f4
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190353243358057,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989871326883081,
+    "cell_size_std": 0.017530260604580166,
+    "coefficient_of_variation": 0.08809745775844699
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9986938895136852,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.6858340214267899e-09,
+    "mean_density": 0.03139495533642665,
+    "cv": 0.0013078186419573255
+  },
+  "packing_efficiency": 0.7902917569713135,
+  "packing_efficiency_details": {
+    "total_area": 0.7902917569713135,
+    "square_area": 1.0,
+    "efficiency": 0.7902917569713135,
+    "relative_to_estimated_best": 0.9408235202039447
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0977189524287079,
+    "std": 0.011238402493341052,
+    "min": 0.04152785470557995,
+    "max": 0.10009066310010091,
+    "range": 0.05856280839452096,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909572466737579,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909572466737579,
+    "min_quality": 0.33333008557580374,
+    "max_quality": 0.7076363473330282
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..0681e2067b1cdf811ade1529210d9b9efaacd888
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 3150.45 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..88bf6758e057b850e3257f94fc5e14617d8e4b17
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406927631464056,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5001, 0.3001)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.4999)\n  centers[18] = (0.6999, 0.6999)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7998)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190353243358057,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9986938895136852,
+        "aux_packing_efficiency": 0.7902917569713135,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909572466737579
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406927631464056
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_195/results/packing_viz.png",
+    "execution_time_mean": 3150.4547893907875,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a6607ca8466f180767abb5b80a19d9ecee85ed6a
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..353cbe78ce97c9fac957ad6dc1fe98e1fe853d82
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190734970408752,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989871409895708,
+    "cell_size_std": 0.01752126852411087,
+    "coefficient_of_variation": 0.08805226482939879
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988983549871844,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.1988661551753178e-09,
+    "mean_density": 0.031395323420918296,
+    "cv": 0.0011028599730047047
+  },
+  "packing_efficiency": 0.7902971864992911,
+  "packing_efficiency_details": {
+    "total_area": 0.7902971864992911,
+    "square_area": 1.0,
+    "efficiency": 0.7902971864992911,
+    "relative_to_estimated_best": 0.9408299839277275
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771896566094976,
+    "std": 0.01124124443899215,
+    "min": 0.04151339380928014,
+    "max": 0.10000669878004656,
+    "range": 0.05849330497076642,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6676730705627064,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6676730705627064,
+    "min_quality": 0.3333333026926169,
+    "max_quality": 0.7075623192568813
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..d8d44bf81190135f49b49d61adcd7ebc3dbae0c1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2470.22 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.668
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.668
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..7b5c28f7a055432ab7657ed095019386a0e6aa6f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406931071846937,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3001)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5001, 0.3000)\n  centers[12] = (0.5001, 0.5000)\n  centers[13] = (0.5001, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190734970408752,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988983549871844,
+        "aux_packing_efficiency": 0.7902971864992911,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6676730705627064
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406931071846937
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.668\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_197/results/packing_viz.png",
+    "execution_time_mean": 2470.216977235861,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..2d40072770d45e27b30c6ade7e311b388553d751
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..eb7d8eb0be5ca7a30ca5db4098fd043f4e3c3557
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9187645915186394,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.18760029264513436,
+    "cell_size_std": 0.016587259267682057,
+    "coefficient_of_variation": 0.08841808797516383
+  },
+  "edge_utilization": 0.12307692307692308,
+  "edge_utilization_details": {
+    "corners_touched": 0,
+    "edges_touched": 8,
+    "corner_score": 0.0,
+    "edge_score": 0.3076923076923077
+  },
+  "density_variance": 0.402988237476598,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00017512537907185714,
+    "mean_density": 0.00893272528007475,
+    "cv": 1.4814620055953152
+  },
+  "packing_efficiency": 0.38901025840224135,
+  "packing_efficiency_details": {
+    "total_area": 0.38901025840224135,
+    "square_area": 1.0,
+    "efficiency": 0.38901025840224135,
+    "relative_to_estimated_best": 0.46310745047885876
+  },
+  "radius_distribution": 0.9679654790068056,
+  "radius_distribution_details": {
+    "mean": 0.06481323131749556,
+    "std": 0.02370181936959335,
+    "min": 0.014384950319271447,
+    "max": 0.11698184251932195,
+    "range": 0.1025968922000505,
+    "small_count": 12,
+    "medium_count": 7,
+    "large_count": 7,
+    "diversity_score": 0.9679654790068056
+  },
+  "gap_analysis": 0.3872,
+  "gap_analysis_details": {
+    "covered_samples": 968,
+    "total_samples": 2500,
+    "coverage": 0.3872,
+    "gap_ratio": 0.6128
+  },
+  "geometric_quality": 0.7030268916214913,
+  "geometric_quality_details": {
+    "num_triangles": 35,
+    "avg_triangle_quality": 0.7030268916214913,
+    "min_quality": 0.6180339887498946,
+    "max_quality": 0.8829112786470249
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6f5c511905dcba10197d65c7728140f03742d596
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/job_log.out
@@ -0,0 +1,77 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.6851
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.123
+    • density_variance: 0.403
+    • packing_efficiency: 0.389
+    • radius_distribution: 0.968
+    • gap_analysis: 0.387
+    • geometric_quality: 0.703
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.6851
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Delaunay triangulation quality: 0.703
+
+⚠️  Areas for Improvement:
+  • Boundary and corner utilization: 0.123
+    → Consider placing larger circles near boundaries and corners
+  • Spatial density uniformity across grid: 0.403
+    → Balance circle density across different regions
+  • Area utilization efficiency: 0.389
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.387
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Radius size diversity: 0.968
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Only 0/4 corners are utilized. Place larger circles at unused corners.
+  2. Detected 61.3% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..1ca5071c2a5fd6bf8ead4fef40459ab016453284
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.6851440142548844,
+    "public": {
+        "centers_str": "  centers[0] = (0.5000, 0.5000)\n  centers[1] = (0.7500, 0.5000)\n  centers[2] = (0.7023, 0.6469)\n  centers[3] = (0.5773, 0.7378)\n  centers[4] = (0.4227, 0.7378)\n  centers[5] = (0.2977, 0.6469)\n  centers[6] = (0.2500, 0.5000)\n  centers[7] = (0.2977, 0.3531)\n  centers[8] = (0.4227, 0.2622)\n  centers[9] = (0.5773, 0.2622)\n  centers[10] = (0.7023, 0.3531)\n  centers[11] = (0.9500, 0.5000)\n  centers[12] = (0.9111, 0.6830)\n  centers[13] = (0.8011, 0.8344)\n  centers[14] = (0.6391, 0.9280)\n  centers[15] = (0.4530, 0.9475)\n  centers[16] = (0.2750, 0.8897)\n  centers[17] = (0.1359, 0.7645)\n  centers[18] = (0.0598, 0.5936)\n  centers[19] = (0.0598, 0.4064)\n  centers[20] = (0.1359, 0.2355)\n  centers[21] = (0.2750, 0.1103)\n  centers[22] = (0.4530, 0.0525)\n  centers[23] = (0.6391, 0.0720)\n  centers[24] = (0.8011, 0.1656)\n  centers[25] = (0.9111, 0.3170)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9187645915186394,
+        "aux_edge_utilization": 0.12307692307692308,
+        "aux_density_variance": 0.402988237476598,
+        "aux_packing_efficiency": 0.38901025840224135,
+        "aux_radius_distribution": 0.9679654790068056,
+        "aux_gap_analysis": 0.3872,
+        "aux_geometric_quality": 0.7030268916214913
+    },
+    "private": {
+        "reported_sum_of_radii": 1.6851440142548844
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.6851\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Delaunay triangulation quality: 0.703\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Boundary and corner utilization: 0.123\n    \u2192 Consider placing larger circles near boundaries and corners\n  \u2022 Spatial density uniformity across grid: 0.403\n    \u2192 Balance circle density across different regions\n  \u2022 Area utilization efficiency: 0.389\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.387\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.968\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Only 0/4 corners are utilized. Place larger circles at unused corners.\n  2. Detected 61.3% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_2/results/packing_viz.png",
+    "execution_time_mean": 0.002052424941211939,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..5b6db58279e4059723c32f1adc6a5aa4b893a203
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..dd4c9aed8c1d4aa51ad88f643f9616f5623895b4
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.841007802563486,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1919698769861518,
+    "cell_size_std": 0.03629183064604651,
+    "coefficient_of_variation": 0.18904961042202936
+  },
+  "edge_utilization": 0.6346153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 12,
+    "corner_score": 0.75,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.560251661593577,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0007300264694779772,
+    "mean_density": 0.03442296197041934,
+    "cv": 0.7849121538624358
+  },
+  "packing_efficiency": 0.7927987974347837,
+  "packing_efficiency_details": {
+    "total_area": 0.7927987974347837,
+    "square_area": 1.0,
+    "efficiency": 0.7927987974347837,
+    "relative_to_estimated_best": 0.9438080921842663
+  },
+  "radius_distribution": 0.9476787438018165,
+  "radius_distribution_details": {
+    "mean": 0.09097679561815569,
+    "std": 0.03780490612924795,
+    "min": 0.005304477026642099,
+    "max": 0.16420310022028659,
+    "range": 0.15889862319364448,
+    "small_count": 5,
+    "medium_count": 12,
+    "large_count": 9,
+    "diversity_score": 0.9476787438018165
+  },
+  "gap_analysis": 0.7928,
+  "gap_analysis_details": {
+    "covered_samples": 1982,
+    "total_samples": 2500,
+    "coverage": 0.7928,
+    "gap_ratio": 0.20720000000000005
+  },
+  "geometric_quality": 0.6501873174122591,
+  "geometric_quality_details": {
+    "num_triangles": 41,
+    "avg_triangle_quality": 0.6501873174122591,
+    "min_quality": 0.2532276692415682,
+    "max_quality": 0.9898632048116154
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..fe4bc063579c9c689fbd886295432741e5e9aa1e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 29.53 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.3654
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.841
+    • edge_utilization: 0.635
+    • density_variance: 0.560
+    • packing_efficiency: 0.793
+    • radius_distribution: 0.948
+    • gap_analysis: 0.793
+    • geometric_quality: 0.650
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.3654
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.841
+  • Area utilization efficiency: 0.793
+  • Area coverage (1 - gap ratio): 0.793
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.635
+  • Spatial density uniformity across grid: 0.560
+  • Radius size diversity: 0.948
+  • Delaunay triangulation quality: 0.650
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..1cb491569db4862db9438345f7c088f1141fbf4f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.365396686072048,
+    "public": {
+        "centers_str": "  centers[0] = (0.2668, 0.5712)\n  centers[1] = (0.0616, 0.4400)\n  centers[2] = (0.5138, 0.4772)\n  centers[3] = (0.0779, 0.6910)\n  centers[4] = (0.0988, 0.8665)\n  centers[5] = (0.3499, 0.1647)\n  centers[6] = (0.0968, 0.0950)\n  centers[7] = (0.1126, 0.2971)\n  centers[8] = (0.2759, 0.7310)\n  centers[9] = (0.2589, 0.9275)\n  centers[10] = (0.6271, 0.1168)\n  centers[11] = (0.7917, 0.5296)\n  centers[12] = (0.5288, 0.6872)\n  centers[13] = (0.6612, 0.8660)\n  centers[14] = (0.4423, 0.8907)\n  centers[15] = (0.7947, 0.0601)\n  centers[16] = (0.5679, 0.3454)\n  centers[17] = (0.6219, 0.5281)\n  centers[18] = (0.7447, 0.6670)\n  centers[19] = (0.3848, 0.5014)\n  centers[20] = (0.9270, 0.0806)\n  centers[21] = (0.8399, 0.2962)\n  centers[22] = (0.9159, 0.5276)\n  centers[23] = (0.9234, 0.7000)\n  centers[24] = (0.8849, 0.8865)\n  centers[25] = (0.1654, 0.5370)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.841007802563486,
+        "aux_edge_utilization": 0.6346153846153846,
+        "aux_density_variance": 0.560251661593577,
+        "aux_packing_efficiency": 0.7927987974347837,
+        "aux_radius_distribution": 0.9476787438018165,
+        "aux_gap_analysis": 0.7928,
+        "aux_geometric_quality": 0.6501873174122591
+    },
+    "private": {
+        "reported_sum_of_radii": 2.365396686072048
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.3654\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.841\n  \u2022 Area utilization efficiency: 0.793\n  \u2022 Area coverage (1 - gap ratio): 0.793\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.635\n  \u2022 Spatial density uniformity across grid: 0.560\n  \u2022 Radius size diversity: 0.948\n  \u2022 Delaunay triangulation quality: 0.650\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_22/results/packing_viz.png",
+    "execution_time_mean": 29.530408444814384,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..c7cd0dc0245e644f8be9d81c98be9d44b3a2dbe5
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..0e1e1878bd4d5dd89af01eb88c0fdc6a93b96d10
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.8723851493999664,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1950527950518152,
+    "cell_size_std": 0.02853284864419331,
+    "coefficient_of_variation": 0.14628269484849446
+  },
+  "edge_utilization": 0.7384615384615385,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 9,
+    "corner_score": 1.0,
+    "edge_score": 0.34615384615384615
+  },
+  "density_variance": 0.4826390169092217,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0013062075830426855,
+    "mean_density": 0.033715906590858095,
+    "cv": 1.0719418964589997
+  },
+  "packing_efficiency": 0.7120382467211703,
+  "packing_efficiency_details": {
+    "total_area": 0.7120382467211703,
+    "square_area": 1.0,
+    "efficiency": 0.7120382467211703,
+    "relative_to_estimated_best": 0.8476645794299648
+  },
+  "radius_distribution": 0.9947372351472321,
+  "radius_distribution_details": {
+    "mean": 0.08601424808600087,
+    "std": 0.036315439900066485,
+    "min": 0.02552631738378241,
+    "max": 0.1859036986848165,
+    "range": 0.16037738130103407,
+    "small_count": 10,
+    "medium_count": 8,
+    "large_count": 8,
+    "diversity_score": 0.9947372351472321
+  },
+  "gap_analysis": 0.7124,
+  "gap_analysis_details": {
+    "covered_samples": 1781,
+    "total_samples": 2500,
+    "coverage": 0.7124,
+    "gap_ratio": 0.28759999999999997
+  },
+  "geometric_quality": 0.6348188843056431,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6348188843056431,
+    "min_quality": 0.2867855697375068,
+    "max_quality": 0.9545766122690734
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..821fc3f65e64d2d62d37d546fdf324914c9e7180
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/job_log.out
@@ -0,0 +1,73 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 18.99 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.2364
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.872
+    • edge_utilization: 0.738
+    • density_variance: 0.483
+    • packing_efficiency: 0.712
+    • radius_distribution: 0.995
+    • gap_analysis: 0.712
+    • geometric_quality: 0.635
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.2364
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.872
+  • Boundary and corner utilization: 0.738
+  • Area utilization efficiency: 0.712
+  • Area coverage (1 - gap ratio): 0.712
+
+⚠️  Areas for Improvement:
+  • Spatial density uniformity across grid: 0.483
+    → Balance circle density across different regions
+
+📊 Other Metrics:
+  • Radius size diversity: 0.995
+  • Delaunay triangulation quality: 0.635
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5d9515e9beb2d5d9063323d132ed39b78afe7a1c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.2363704502360227,
+    "public": {
+        "centers_str": "  centers[0] = (0.0775, 0.0782)\n  centers[1] = (0.0889, 0.2654)\n  centers[2] = (0.0776, 0.5234)\n  centers[3] = (0.1326, 0.7266)\n  centers[4] = (0.0741, 0.9247)\n  centers[5] = (0.7423, 0.0922)\n  centers[6] = (0.4109, 0.0605)\n  centers[7] = (0.2508, 0.1378)\n  centers[8] = (0.4900, 0.5623)\n  centers[9] = (0.2454, 0.9007)\n  centers[10] = (0.5535, 0.0568)\n  centers[11] = (0.9097, 0.4109)\n  centers[12] = (0.5322, 0.2303)\n  centers[13] = (0.5655, 0.9417)\n  centers[14] = (0.4266, 0.9176)\n  centers[15] = (0.7545, 0.3107)\n  centers[16] = (0.7827, 0.5287)\n  centers[17] = (0.5910, 0.4531)\n  centers[18] = (0.5936, 0.7210)\n  centers[19] = (0.6967, 0.9306)\n  centers[20] = (0.8921, 0.1037)\n  centers[21] = (0.9296, 0.2735)\n  centers[22] = (0.9442, 0.5255)\n  centers[23] = (0.9161, 0.6642)\n  centers[24] = (0.8798, 0.8757)\n  centers[25] = (0.3050, 0.4418)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.8723851493999664,
+        "aux_edge_utilization": 0.7384615384615385,
+        "aux_density_variance": 0.4826390169092217,
+        "aux_packing_efficiency": 0.7120382467211703,
+        "aux_radius_distribution": 0.9947372351472321,
+        "aux_gap_analysis": 0.7124,
+        "aux_geometric_quality": 0.6348188843056431
+    },
+    "private": {
+        "reported_sum_of_radii": 2.2363704502360227
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.2364\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.872\n  \u2022 Boundary and corner utilization: 0.738\n  \u2022 Area utilization efficiency: 0.712\n  \u2022 Area coverage (1 - gap ratio): 0.712\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Spatial density uniformity across grid: 0.483\n    \u2192 Balance circle density across different regions\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.995\n  \u2022 Delaunay triangulation quality: 0.635\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_24/results/packing_viz.png",
+    "execution_time_mean": 18.989832212682813,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..d9a11e36e43df7005c9e0edcc7fc88e2f90289ad
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..767bba47b5622be54278abddb2f5f222decf0f92
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.918029177596161,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19744307113352155,
+    "cell_size_std": 0.017629691294893505,
+    "coefficient_of_variation": 0.08928999688057612
+  },
+  "edge_utilization": 0.7692307692307692,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 11,
+    "corner_score": 1.0,
+    "edge_score": 0.4230769230769231
+  },
+  "density_variance": 0.7518456964632985,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.349596491554426e-05,
+    "mean_density": 0.027684688114285986,
+    "cv": 0.33006015024628826
+  },
+  "packing_efficiency": 0.7226079554180685,
+  "packing_efficiency_details": {
+    "total_area": 0.7226079554180685,
+    "square_area": 1.0,
+    "efficiency": 0.7226079554180685,
+    "relative_to_estimated_best": 0.8602475659738912
+  },
+  "radius_distribution": 0.9543725752531863,
+  "radius_distribution_details": {
+    "mean": 0.09278459427011256,
+    "std": 0.015416963389549733,
+    "min": 0.04288649849368466,
+    "max": 0.11032762766755533,
+    "range": 0.06744112917387067,
+    "small_count": 5,
+    "medium_count": 10,
+    "large_count": 11,
+    "diversity_score": 0.9543725752531863
+  },
+  "gap_analysis": 0.7264,
+  "gap_analysis_details": {
+    "covered_samples": 1816,
+    "total_samples": 2500,
+    "coverage": 0.7264,
+    "gap_ratio": 0.27359999999999995
+  },
+  "geometric_quality": 0.6511256403340755,
+  "geometric_quality_details": {
+    "num_triangles": 42,
+    "avg_triangle_quality": 0.6511256403340755,
+    "min_quality": 0.34248692390461755,
+    "max_quality": 0.7507669933473466
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..30de37f7e128c23a74d64753ee3cb6cd93e3c5d1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2723.48 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4124
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.918
+    • edge_utilization: 0.769
+    • density_variance: 0.752
+    • packing_efficiency: 0.723
+    • radius_distribution: 0.954
+    • gap_analysis: 0.726
+    • geometric_quality: 0.651
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4124
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.918
+  • Boundary and corner utilization: 0.769
+  • Spatial density uniformity across grid: 0.752
+  • Area utilization efficiency: 0.723
+  • Area coverage (1 - gap ratio): 0.726
+
+📊 Other Metrics:
+  • Radius size diversity: 0.954
+  • Delaunay triangulation quality: 0.651
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..59d209ed5941b9198980076763eea788815fbad3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.4123994510229263,
+    "public": {
+        "centers_str": "  centers[0] = (0.1019, 0.1020)\n  centers[1] = (0.0906, 0.2942)\n  centers[2] = (0.0905, 0.4933)\n  centers[3] = (0.1026, 0.6900)\n  centers[4] = (0.0987, 0.8951)\n  centers[5] = (0.3008, 0.1195)\n  centers[6] = (0.2923, 0.2900)\n  centers[7] = (0.3000, 0.5083)\n  centers[8] = (0.3104, 0.6859)\n  centers[9] = (0.3001, 0.8934)\n  centers[10] = (0.4994, 0.1017)\n  centers[11] = (0.5255, 0.2910)\n  centers[12] = (0.5169, 0.5031)\n  centers[13] = (0.5087, 0.7026)\n  centers[14] = (0.5040, 0.8979)\n  centers[15] = (0.7063, 0.0942)\n  centers[16] = (0.6870, 0.2895)\n  centers[17] = (0.7034, 0.5035)\n  centers[18] = (0.6909, 0.7078)\n  centers[19] = (0.7063, 0.8965)\n  centers[20] = (0.8966, 0.0961)\n  centers[21] = (0.8951, 0.2969)\n  centers[22] = (0.9063, 0.4975)\n  centers[23] = (0.8897, 0.7024)\n  centers[24] = (0.9006, 0.9062)\n  centers[25] = (0.3984, 0.3785)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.918029177596161,
+        "aux_edge_utilization": 0.7692307692307692,
+        "aux_density_variance": 0.7518456964632985,
+        "aux_packing_efficiency": 0.7226079554180685,
+        "aux_radius_distribution": 0.9543725752531863,
+        "aux_gap_analysis": 0.7264,
+        "aux_geometric_quality": 0.6511256403340755
+    },
+    "private": {
+        "reported_sum_of_radii": 2.4123994510229263
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4124\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.918\n  \u2022 Boundary and corner utilization: 0.769\n  \u2022 Spatial density uniformity across grid: 0.752\n  \u2022 Area utilization efficiency: 0.723\n  \u2022 Area coverage (1 - gap ratio): 0.726\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.954\n  \u2022 Delaunay triangulation quality: 0.651\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_25/results/packing_viz.png",
+    "execution_time_mean": 2723.4846928329207,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..558a1d74765fd77947753cac3e56bb20d4e38a8e
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..752f4470b0009797fc2b4e66638f322d5d45c967
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.8423002989965299,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1898876134451864,
+    "cell_size_std": 0.035551714819457125,
+    "coefficient_of_variation": 0.1872250326769975
+  },
+  "edge_utilization": 0.7692307692307692,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 11,
+    "corner_score": 1.0,
+    "edge_score": 0.4230769230769231
+  },
+  "density_variance": 0.5930468814687241,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0006119211911796079,
+    "mean_density": 0.03604893013921382,
+    "cv": 0.6862073324176778
+  },
+  "packing_efficiency": 0.789196843652745,
+  "packing_efficiency_details": {
+    "total_area": 0.789196843652745,
+    "square_area": 1.0,
+    "efficiency": 0.789196843652745,
+    "relative_to_estimated_best": 0.9395200519675536
+  },
+  "radius_distribution": 0.9947372351472321,
+  "radius_distribution_details": {
+    "mean": 0.09099880996519806,
+    "std": 0.037163251434910685,
+    "min": 0.002915458097069984,
+    "max": 0.14561855964746132,
+    "range": 0.14270310155039134,
+    "small_count": 8,
+    "medium_count": 10,
+    "large_count": 8,
+    "diversity_score": 0.9947372351472321
+  },
+  "gap_analysis": 0.7912,
+  "gap_analysis_details": {
+    "covered_samples": 1978,
+    "total_samples": 2500,
+    "coverage": 0.7912,
+    "gap_ratio": 0.20879999999999999
+  },
+  "geometric_quality": 0.6663385081015875,
+  "geometric_quality_details": {
+    "num_triangles": 39,
+    "avg_triangle_quality": 0.6663385081015875,
+    "min_quality": 0.4000788158962586,
+    "max_quality": 0.9502988184687644
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..94a04683493aa2fa3b0ecb53a77ea91b230e69fb
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 41.74 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.3660
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.842
+    • edge_utilization: 0.769
+    • density_variance: 0.593
+    • packing_efficiency: 0.789
+    • radius_distribution: 0.995
+    • gap_analysis: 0.791
+    • geometric_quality: 0.666
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.3660
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.842
+  • Boundary and corner utilization: 0.769
+  • Area utilization efficiency: 0.789
+  • Area coverage (1 - gap ratio): 0.791
+
+📊 Other Metrics:
+  • Spatial density uniformity across grid: 0.593
+  • Radius size diversity: 0.995
+  • Delaunay triangulation quality: 0.666
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..43f3a0db05459c50b8068868f402d5fab5eb4cf7
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.3659690590951494,
+    "public": {
+        "centers_str": "  centers[0] = (0.0704, 0.7121)\n  centers[1] = (0.0457, 0.5826)\n  centers[2] = (0.4690, 0.6322)\n  centers[3] = (0.3072, 0.8098)\n  centers[4] = (0.2919, 0.9303)\n  centers[5] = (0.4249, 0.3791)\n  centers[6] = (0.0722, 0.3088)\n  centers[7] = (0.0803, 0.4612)\n  centers[8] = (0.2234, 0.6238)\n  centers[9] = (0.1244, 0.8675)\n  centers[10] = (0.6014, 0.0781)\n  centers[11] = (0.7758, 0.5662)\n  centers[12] = (0.4182, 0.7164)\n  centers[13] = (0.4600, 0.8950)\n  centers[14] = (0.5980, 0.7395)\n  centers[15] = (0.6429, 0.2983)\n  centers[16] = (0.8924, 0.2553)\n  centers[17] = (0.1311, 0.1228)\n  centers[18] = (0.5268, 0.5414)\n  centers[19] = (0.6439, 0.9195)\n  centers[20] = (0.9248, 0.0755)\n  centers[21] = (0.7644, 0.0864)\n  centers[22] = (0.3932, 0.1396)\n  centers[23] = (0.9335, 0.4247)\n  centers[24] = (0.8560, 0.8452)\n  centers[25] = (0.2609, 0.3668)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.8423002989965299,
+        "aux_edge_utilization": 0.7692307692307692,
+        "aux_density_variance": 0.5930468814687241,
+        "aux_packing_efficiency": 0.789196843652745,
+        "aux_radius_distribution": 0.9947372351472321,
+        "aux_gap_analysis": 0.7912,
+        "aux_geometric_quality": 0.6663385081015875
+    },
+    "private": {
+        "reported_sum_of_radii": 2.3659690590951494
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.3660\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.842\n  \u2022 Boundary and corner utilization: 0.769\n  \u2022 Area utilization efficiency: 0.789\n  \u2022 Area coverage (1 - gap ratio): 0.791\n\n\ud83d\udcca Other Metrics:\n  \u2022 Spatial density uniformity across grid: 0.593\n  \u2022 Radius size diversity: 0.995\n  \u2022 Delaunay triangulation quality: 0.666\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_29/results/packing_viz.png",
+    "execution_time_mean": 41.735198145732284,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..cc8e124c9a639a44ef57c8bd067e8af10f0a7b34
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..6376de0d9845230ce863c692d44fa91a48799bf5
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9400042249677604,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.16979508892123452,
+    "cell_size_std": 0.010837172584881392,
+    "coefficient_of_variation": 0.06382500571664705
+  },
+  "edge_utilization": 0.015384615384615385,
+  "edge_utilization_details": {
+    "corners_touched": 0,
+    "edges_touched": 1,
+    "corner_score": 0.0,
+    "edge_score": 0.038461538461538464
+  },
+  "density_variance": 0.3066220686660308,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.1989230634674696e-05,
+    "mean_density": 0.0028655118016515015,
+    "cv": 2.261343856789344
+  },
+  "packing_efficiency": 0.20523605223335833,
+  "packing_efficiency_details": {
+    "total_area": 0.20523605223335833,
+    "square_area": 1.0,
+    "efficiency": 0.20523605223335833,
+    "relative_to_estimated_best": 0.24432863361114088
+  },
+  "radius_distribution": 0.9947372351472321,
+  "radius_distribution_details": {
+    "mean": 0.04544611609423214,
+    "std": 0.021149266451999774,
+    "min": 0.013377121237133539,
+    "max": 0.08618123680690339,
+    "range": 0.07280411556976984,
+    "small_count": 10,
+    "medium_count": 8,
+    "large_count": 8,
+    "diversity_score": 0.9947372351472321
+  },
+  "gap_analysis": 0.206,
+  "gap_analysis_details": {
+    "covered_samples": 515,
+    "total_samples": 2500,
+    "coverage": 0.206,
+    "gap_ratio": 0.794
+  },
+  "geometric_quality": 0.963640555091331,
+  "geometric_quality_details": {
+    "num_triangles": 37,
+    "avg_triangle_quality": 0.963640555091331,
+    "min_quality": 0.4999999999999999,
+    "max_quality": 1.0
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..fd82393d289aa1ab1ce911d2262112748dfb860e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/job_log.out
@@ -0,0 +1,77 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.01 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.1816
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.940
+    • edge_utilization: 0.015
+    • density_variance: 0.307
+    • packing_efficiency: 0.205
+    • radius_distribution: 0.995
+    • gap_analysis: 0.206
+    • geometric_quality: 0.964
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.1816
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.940
+  • Delaunay triangulation quality: 0.964
+
+⚠️  Areas for Improvement:
+  • Boundary and corner utilization: 0.015
+    → Consider placing larger circles near boundaries and corners
+  • Spatial density uniformity across grid: 0.307
+    → Balance circle density across different regions
+  • Area utilization efficiency: 0.205
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.206
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Radius size diversity: 0.995
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Only 0/4 corners are utilized. Place larger circles at unused corners.
+  2. Detected 79.4% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..a92169325ff176102df84709f7c51e54203242be
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.1815990184500356,
+    "public": {
+        "centers_str": "  centers[0] = (0.0833, 0.2113)\n  centers[1] = (0.2500, 0.2113)\n  centers[2] = (0.4167, 0.2113)\n  centers[3] = (0.5833, 0.2113)\n  centers[4] = (0.7500, 0.2113)\n  centers[5] = (0.9167, 0.2113)\n  centers[6] = (0.1667, 0.3557)\n  centers[7] = (0.3333, 0.3557)\n  centers[8] = (0.5000, 0.3557)\n  centers[9] = (0.6667, 0.3557)\n  centers[10] = (0.8333, 0.3557)\n  centers[11] = (0.0833, 0.5000)\n  centers[12] = (0.2500, 0.5000)\n  centers[13] = (0.4167, 0.5000)\n  centers[14] = (0.5833, 0.5000)\n  centers[15] = (0.7500, 0.5000)\n  centers[16] = (0.9167, 0.5000)\n  centers[17] = (0.1667, 0.6443)\n  centers[18] = (0.3333, 0.6443)\n  centers[19] = (0.5000, 0.6443)\n  centers[20] = (0.6667, 0.6443)\n  centers[21] = (0.8333, 0.6443)\n  centers[22] = (0.2500, 0.7887)\n  centers[23] = (0.4167, 0.7887)\n  centers[24] = (0.5833, 0.7887)\n  centers[25] = (0.7500, 0.7887)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9400042249677604,
+        "aux_edge_utilization": 0.015384615384615385,
+        "aux_density_variance": 0.3066220686660308,
+        "aux_packing_efficiency": 0.20523605223335833,
+        "aux_radius_distribution": 0.9947372351472321,
+        "aux_gap_analysis": 0.206,
+        "aux_geometric_quality": 0.963640555091331
+    },
+    "private": {
+        "reported_sum_of_radii": 1.1815990184500356
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.1816\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.940\n  \u2022 Delaunay triangulation quality: 0.964\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Boundary and corner utilization: 0.015\n    \u2192 Consider placing larger circles near boundaries and corners\n  \u2022 Spatial density uniformity across grid: 0.307\n    \u2192 Balance circle density across different regions\n  \u2022 Area utilization efficiency: 0.205\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.206\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.995\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Only 0/4 corners are utilized. Place larger circles at unused corners.\n  2. Detected 79.4% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_3/results/packing_viz.png",
+    "execution_time_mean": 0.006432258989661932,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a630aaf1972dd35098913f64dcd6d20f0ea26f49
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..fe07d73f769b85ee5d2b5dd6203078899fef05ff
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539162,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765068,
+    "coefficient_of_variation": 0.08804167661183827
+  },
+  "edge_utilization": 0.7692307692307692,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 11,
+    "corner_score": 1.0,
+    "edge_score": 0.4230769230769231
+  },
+  "density_variance": 0.7153111274302671,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00010930366312981374,
+    "mean_density": 0.026268896560087858,
+    "cv": 0.3979930713401157
+  },
+  "packing_efficiency": 0.7005735350569859,
+  "packing_efficiency_details": {
+    "total_area": 0.7005735350569859,
+    "square_area": 1.0,
+    "efficiency": 0.7005735350569859,
+    "relative_to_estimated_best": 0.8340161131630786
+  },
+  "radius_distribution": 0.6307121992708449,
+  "radius_distribution_details": {
+    "mean": 0.09119860034349583,
+    "std": 0.01611578286057049,
+    "min": 0.041642387020717826,
+    "max": 0.10000524703723705,
+    "range": 0.058362860016519226,
+    "small_count": 6,
+    "medium_count": 1,
+    "large_count": 19,
+    "diversity_score": 0.6307121992708449
+  },
+  "gap_analysis": 0.7136,
+  "gap_analysis_details": {
+    "covered_samples": 1784,
+    "total_samples": 2500,
+    "coverage": 0.7136,
+    "gap_ratio": 0.2864
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..418a96ff888e96c6793b8842036720ef6000d745
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.85 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.3712
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.769
+    • density_variance: 0.715
+    • packing_efficiency: 0.701
+    • radius_distribution: 0.631
+    • gap_analysis: 0.714
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.3712
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.769
+  • Spatial density uniformity across grid: 0.715
+  • Area utilization efficiency: 0.701
+  • Area coverage (1 - gap ratio): 0.714
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.631
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..e976cb0881babd003bc80ce6448353a0a061f874
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.3711636089308916,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539162,
+        "aux_edge_utilization": 0.7692307692307692,
+        "aux_density_variance": 0.7153111274302671,
+        "aux_packing_efficiency": 0.7005735350569859,
+        "aux_radius_distribution": 0.6307121992708449,
+        "aux_gap_analysis": 0.7136,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.3711636089308916
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.3712\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.769\n  \u2022 Spatial density uniformity across grid: 0.715\n  \u2022 Area utilization efficiency: 0.701\n  \u2022 Area coverage (1 - gap ratio): 0.714\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.631\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_31/results/packing_viz.png",
+    "execution_time_mean": 0.8484192993491888,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..647ec3fa2e750a82e9432aa987db0610408a2bd3
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..6e8b90963eceae0e9c8adba1e3e2889350adee68
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227802225521738,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979292003985259,
+    "cell_size_std": 0.01656304340826504,
+    "coefficient_of_variation": 0.08368165632576736
+  },
+  "edge_utilization": 0.6038461538461538,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 10,
+    "corner_score": 0.75,
+    "edge_score": 0.38461538461538464
+  },
+  "density_variance": 0.8384698073473255,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 3.0276120631702736e-05,
+    "mean_density": 0.028561684390463235,
+    "cv": 0.19264878858752116
+  },
+  "packing_efficiency": 0.729195436351503,
+  "packing_efficiency_details": {
+    "total_area": 0.729195436351503,
+    "square_area": 1.0,
+    "efficiency": 0.729195436351503,
+    "relative_to_estimated_best": 0.8680898051803607
+  },
+  "radius_distribution": 0.7471240715490759,
+  "radius_distribution_details": {
+    "mean": 0.0938289563653459,
+    "std": 0.01111031568984247,
+    "min": 0.06945108827184654,
+    "max": 0.10000098303979754,
+    "range": 0.030549894767951002,
+    "small_count": 5,
+    "medium_count": 3,
+    "large_count": 18,
+    "diversity_score": 0.7471240715490759
+  },
+  "gap_analysis": 0.744,
+  "gap_analysis_details": {
+    "covered_samples": 1860,
+    "total_samples": 2500,
+    "coverage": 0.744,
+    "gap_ratio": 0.256
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..2cee8f14f0cb78d3ba544915d34c590b4c936980
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1.52 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4396
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.604
+    • density_variance: 0.838
+    • packing_efficiency: 0.729
+    • radius_distribution: 0.747
+    • gap_analysis: 0.744
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4396
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Spatial density uniformity across grid: 0.838
+  • Area utilization efficiency: 0.729
+  • Area coverage (1 - gap ratio): 0.744
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.604
+  • Radius size diversity: 0.747
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..22f155f152ea72810e6fec088dca997c0f0b99da
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.4395528654989933,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.2000, 0.2000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227802225521738,
+        "aux_edge_utilization": 0.6038461538461538,
+        "aux_density_variance": 0.8384698073473255,
+        "aux_packing_efficiency": 0.729195436351503,
+        "aux_radius_distribution": 0.7471240715490759,
+        "aux_gap_analysis": 0.744,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.4395528654989933
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4396\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Spatial density uniformity across grid: 0.838\n  \u2022 Area utilization efficiency: 0.729\n  \u2022 Area coverage (1 - gap ratio): 0.744\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.604\n  \u2022 Radius size diversity: 0.747\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_32/results/packing_viz.png",
+    "execution_time_mean": 1.5188133381307125,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b8fa12d3981b815118808823de71039739402158
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4720a014bebf24c9e4b6e92a9486d29102b8c24f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.01751952657876505,
+    "coefficient_of_variation": 0.08804167661183819
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.7665025120015905,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 7.291474370133989e-05,
+    "mean_density": 0.028031028376216193,
+    "cv": 0.3046271660462934
+  },
+  "packing_efficiency": 0.7280011013450205,
+  "packing_efficiency_details": {
+    "total_area": 0.7280011013450205,
+    "square_area": 1.0,
+    "efficiency": 0.7280011013450205,
+    "relative_to_estimated_best": 0.8666679777916911
+  },
+  "radius_distribution": 0.3907866536347424,
+  "radius_distribution_details": {
+    "mean": 0.09309284727349035,
+    "std": 0.01569751837342869,
+    "min": 0.04263025505482162,
+    "max": 0.10006653359946772,
+    "range": 0.057436278544646106,
+    "small_count": 4,
+    "medium_count": 22,
+    "large_count": 0,
+    "diversity_score": 0.3907866536347424
+  },
+  "gap_analysis": 0.736,
+  "gap_analysis_details": {
+    "covered_samples": 1840,
+    "total_samples": 2500,
+    "coverage": 0.736,
+    "gap_ratio": 0.264
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865471,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..dfdc512b1ae8b0c6be679c9d57a2a2168f8ab864
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 3.41 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4204
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.767
+    • packing_efficiency: 0.728
+    • radius_distribution: 0.391
+    • gap_analysis: 0.736
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4204
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.767
+  • Area utilization efficiency: 0.728
+  • Area coverage (1 - gap ratio): 0.736
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.391
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..f769c6c0967a5be84f1a272a3c4ee30245914ce3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.420414029110749,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.6000, 0.6000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.7665025120015905,
+        "aux_packing_efficiency": 0.7280011013450205,
+        "aux_radius_distribution": 0.3907866536347424,
+        "aux_gap_analysis": 0.736,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.420414029110749
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4204\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.767\n  \u2022 Area utilization efficiency: 0.728\n  \u2022 Area coverage (1 - gap ratio): 0.736\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.391\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_33/results/packing_viz.png",
+    "execution_time_mean": 3.413157135248184,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..1924d268c5ec4bf2b72baae6bb4c0b4f850c35a2
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..9c4b2f824fd0a1523966dc4152496cd26b51f0bd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9208848773449384,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1965476234105729,
+    "cell_size_std": 0.016885812543296744,
+    "coefficient_of_variation": 0.08591206631947673
+  },
+  "edge_utilization": 0.6192307692307693,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 11,
+    "corner_score": 0.75,
+    "edge_score": 0.4230769230769231
+  },
+  "density_variance": 0.631946359526152,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00029100092913567305,
+    "mean_density": 0.029289790920774536,
+    "cv": 0.5824127869805646
+  },
+  "packing_efficiency": 0.7822330050461962,
+  "packing_efficiency_details": {
+    "total_area": 0.7822330050461962,
+    "square_area": 1.0,
+    "efficiency": 0.7822330050461962,
+    "relative_to_estimated_best": 0.9312297679121384
+  },
+  "radius_distribution": 0.9947372351472321,
+  "radius_distribution_details": {
+    "mean": 0.0948956256116254,
+    "std": 0.02390512098314856,
+    "min": 0.04706083707848282,
+    "max": 0.1299722334262572,
+    "range": 0.08291139634777436,
+    "small_count": 8,
+    "medium_count": 8,
+    "large_count": 10,
+    "diversity_score": 0.9947372351472321
+  },
+  "gap_analysis": 0.7824,
+  "gap_analysis_details": {
+    "covered_samples": 1956,
+    "total_samples": 2500,
+    "coverage": 0.7824,
+    "gap_ratio": 0.21760000000000002
+  },
+  "geometric_quality": 0.7065026014491093,
+  "geometric_quality_details": {
+    "num_triangles": 41,
+    "avg_triangle_quality": 0.7065026014491093,
+    "min_quality": 0.3715934902116723,
+    "max_quality": 0.959603943227524
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..d9d4b79db93d6263a66978f100c05215a40c19ea
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 16352.56 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4673
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.921
+    • edge_utilization: 0.619
+    • density_variance: 0.632
+    • packing_efficiency: 0.782
+    • radius_distribution: 0.995
+    • gap_analysis: 0.782
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4673
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.921
+  • Area utilization efficiency: 0.782
+  • Area coverage (1 - gap ratio): 0.782
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.619
+  • Spatial density uniformity across grid: 0.632
+  • Radius size diversity: 0.995
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..dd00d7f659c76adac0fe25d681d10236d189cdca
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.4672862659022603,
+    "public": {
+        "centers_str": "  centers[0] = (0.3864, 0.0851)\n  centers[1] = (0.0990, 0.0990)\n  centers[2] = (0.0810, 0.4716)\n  centers[3] = (0.0888, 0.6414)\n  centers[4] = (0.4912, 0.5303)\n  centers[5] = (0.6742, 0.4560)\n  centers[6] = (0.2822, 0.2026)\n  centers[7] = (0.0971, 0.2948)\n  centers[8] = (0.4289, 0.7007)\n  centers[9] = (0.3380, 0.8951)\n  centers[10] = (0.5266, 0.0933)\n  centers[11] = (0.8613, 0.4319)\n  centers[12] = (0.3299, 0.3566)\n  centers[13] = (0.7098, 0.9268)\n  centers[14] = (0.2393, 0.7211)\n  centers[15] = (0.9086, 0.2852)\n  centers[16] = (0.9006, 0.0970)\n  centers[17] = (0.2780, 0.5217)\n  centers[18] = (0.5403, 0.9021)\n  centers[19] = (0.1169, 0.8778)\n  centers[20] = (0.7625, 0.0485)\n  centers[21] = (0.7078, 0.2102)\n  centers[22] = (0.6698, 0.7153)\n  centers[23] = (0.8868, 0.6059)\n  centers[24] = (0.8819, 0.8438)\n  centers[25] = (0.4870, 0.2990)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9208848773449384,
+        "aux_edge_utilization": 0.6192307692307693,
+        "aux_density_variance": 0.631946359526152,
+        "aux_packing_efficiency": 0.7822330050461962,
+        "aux_radius_distribution": 0.9947372351472321,
+        "aux_gap_analysis": 0.7824,
+        "aux_geometric_quality": 0.7065026014491093
+    },
+    "private": {
+        "reported_sum_of_radii": 2.4672862659022603
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4673\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.921\n  \u2022 Area utilization efficiency: 0.782\n  \u2022 Area coverage (1 - gap ratio): 0.782\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.619\n  \u2022 Spatial density uniformity across grid: 0.632\n  \u2022 Radius size diversity: 0.995\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_34/results/packing_viz.png",
+    "execution_time_mean": 16352.555521060247,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..aeaa6912e5dd42dcfca62e998a8dfabe35857724
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..910ecfa3face0126c676ce3c9a9184d29a1961af
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539162,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765068,
+    "coefficient_of_variation": 0.08804167661183827
+  },
+  "edge_utilization": 0.7692307692307692,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 11,
+    "corner_score": 1.0,
+    "edge_score": 0.4230769230769231
+  },
+  "density_variance": 0.7153111274302671,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00010930366312981374,
+    "mean_density": 0.026268896560087858,
+    "cv": 0.3979930713401157
+  },
+  "packing_efficiency": 0.7005735350569859,
+  "packing_efficiency_details": {
+    "total_area": 0.7005735350569859,
+    "square_area": 1.0,
+    "efficiency": 0.7005735350569859,
+    "relative_to_estimated_best": 0.8340161131630786
+  },
+  "radius_distribution": 0.6307121992708449,
+  "radius_distribution_details": {
+    "mean": 0.09119860034349583,
+    "std": 0.016115782860570485,
+    "min": 0.041642387020717826,
+    "max": 0.10000524703723705,
+    "range": 0.058362860016519226,
+    "small_count": 6,
+    "medium_count": 1,
+    "large_count": 19,
+    "diversity_score": 0.6307121992708449
+  },
+  "gap_analysis": 0.7136,
+  "gap_analysis_details": {
+    "covered_samples": 1784,
+    "total_samples": 2500,
+    "coverage": 0.7136,
+    "gap_ratio": 0.2864
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a3bc539b3977fd7688702cb7a05552d54165ebea
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1.34 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.3712
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.769
+    • density_variance: 0.715
+    • packing_efficiency: 0.701
+    • radius_distribution: 0.631
+    • gap_analysis: 0.714
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.3712
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.769
+  • Spatial density uniformity across grid: 0.715
+  • Area utilization efficiency: 0.701
+  • Area coverage (1 - gap ratio): 0.714
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.631
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5d4b7fbdd6f72581417fe2dd65104eaf9bfa42ea
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.3711636089308916,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539162,
+        "aux_edge_utilization": 0.7692307692307692,
+        "aux_density_variance": 0.7153111274302671,
+        "aux_packing_efficiency": 0.7005735350569859,
+        "aux_radius_distribution": 0.6307121992708449,
+        "aux_gap_analysis": 0.7136,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.3711636089308916
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.3712\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.769\n  \u2022 Spatial density uniformity across grid: 0.715\n  \u2022 Area utilization efficiency: 0.701\n  \u2022 Area coverage (1 - gap ratio): 0.714\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.631\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_36/results/packing_viz.png",
+    "execution_time_mean": 1.344632977154106,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..11fdb1bf00f0729f4c2ec26ec34d95759e371e11
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..dd42d52f39a45f6f2a40b1b23ad1c4c910fdd255
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227802225521738,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979292003985259,
+    "cell_size_std": 0.016563043408265067,
+    "coefficient_of_variation": 0.08368165632576752
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9379608984545514,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.060995064791756e-06,
+    "mean_density": 0.030467403963246847,
+    "cv": 0.0661425243287523
+  },
+  "packing_efficiency": 0.7670835550019973,
+  "packing_efficiency_details": {
+    "total_area": 0.7670835550019973,
+    "square_area": 1.0,
+    "efficiency": 0.7670835550019973,
+    "relative_to_estimated_best": 0.9131947083357111
+  },
+  "radius_distribution": 0.24684720336654664,
+  "radius_distribution_details": {
+    "mean": 0.09622979741921173,
+    "std": 0.011445115503731338,
+    "min": 0.04145337006476529,
+    "max": 0.1000167818302658,
+    "range": 0.05856341176550051,
+    "small_count": 2,
+    "medium_count": 24,
+    "large_count": 0,
+    "diversity_score": 0.24684720336654664
+  },
+  "gap_analysis": 0.7808,
+  "gap_analysis_details": {
+    "covered_samples": 1952,
+    "total_samples": 2500,
+    "coverage": 0.7808,
+    "gap_ratio": 0.21919999999999995
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..52cafc9f520e003769a3373464aa1878b0e6aebc
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 23.61 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5020
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.938
+    • packing_efficiency: 0.767
+    • radius_distribution: 0.247
+    • gap_analysis: 0.781
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5020
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.938
+  • Area utilization efficiency: 0.767
+  • Area coverage (1 - gap ratio): 0.781
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.247
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..eb45310814b3ddcfd07291ddb815ded53d32d6ed
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.501974732899505,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227802225521738,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9379608984545514,
+        "aux_packing_efficiency": 0.7670835550019973,
+        "aux_radius_distribution": 0.24684720336654664,
+        "aux_gap_analysis": 0.7808,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.501974732899505
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5020\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.938\n  \u2022 Area utilization efficiency: 0.767\n  \u2022 Area coverage (1 - gap ratio): 0.781\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.247\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_37/results/packing_viz.png",
+    "execution_time_mean": 23.61097176419571,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..8de95f0110f66307e17d3c34af01dee60daa86e8
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..9c4b2f824fd0a1523966dc4152496cd26b51f0bd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9208848773449384,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1965476234105729,
+    "cell_size_std": 0.016885812543296744,
+    "coefficient_of_variation": 0.08591206631947673
+  },
+  "edge_utilization": 0.6192307692307693,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 11,
+    "corner_score": 0.75,
+    "edge_score": 0.4230769230769231
+  },
+  "density_variance": 0.631946359526152,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00029100092913567305,
+    "mean_density": 0.029289790920774536,
+    "cv": 0.5824127869805646
+  },
+  "packing_efficiency": 0.7822330050461962,
+  "packing_efficiency_details": {
+    "total_area": 0.7822330050461962,
+    "square_area": 1.0,
+    "efficiency": 0.7822330050461962,
+    "relative_to_estimated_best": 0.9312297679121384
+  },
+  "radius_distribution": 0.9947372351472321,
+  "radius_distribution_details": {
+    "mean": 0.0948956256116254,
+    "std": 0.02390512098314856,
+    "min": 0.04706083707848282,
+    "max": 0.1299722334262572,
+    "range": 0.08291139634777436,
+    "small_count": 8,
+    "medium_count": 8,
+    "large_count": 10,
+    "diversity_score": 0.9947372351472321
+  },
+  "gap_analysis": 0.7824,
+  "gap_analysis_details": {
+    "covered_samples": 1956,
+    "total_samples": 2500,
+    "coverage": 0.7824,
+    "gap_ratio": 0.21760000000000002
+  },
+  "geometric_quality": 0.7065026014491093,
+  "geometric_quality_details": {
+    "num_triangles": 41,
+    "avg_triangle_quality": 0.7065026014491093,
+    "min_quality": 0.3715934902116723,
+    "max_quality": 0.959603943227524
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..51e056bcb324feb8e403befe05e13ce2a352289a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 16015.55 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4673
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.921
+    • edge_utilization: 0.619
+    • density_variance: 0.632
+    • packing_efficiency: 0.782
+    • radius_distribution: 0.995
+    • gap_analysis: 0.782
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4673
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.921
+  • Area utilization efficiency: 0.782
+  • Area coverage (1 - gap ratio): 0.782
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.619
+  • Spatial density uniformity across grid: 0.632
+  • Radius size diversity: 0.995
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..2ffafe33983b948e49e4dd8a7ff15284ce27b948
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.4672862659022603,
+    "public": {
+        "centers_str": "  centers[0] = (0.3864, 0.0851)\n  centers[1] = (0.0990, 0.0990)\n  centers[2] = (0.0810, 0.4716)\n  centers[3] = (0.0888, 0.6414)\n  centers[4] = (0.4912, 0.5303)\n  centers[5] = (0.6742, 0.4560)\n  centers[6] = (0.2822, 0.2026)\n  centers[7] = (0.0971, 0.2948)\n  centers[8] = (0.4289, 0.7007)\n  centers[9] = (0.3380, 0.8951)\n  centers[10] = (0.5266, 0.0933)\n  centers[11] = (0.8613, 0.4319)\n  centers[12] = (0.3299, 0.3566)\n  centers[13] = (0.7098, 0.9268)\n  centers[14] = (0.2393, 0.7211)\n  centers[15] = (0.9086, 0.2852)\n  centers[16] = (0.9006, 0.0970)\n  centers[17] = (0.2780, 0.5217)\n  centers[18] = (0.5403, 0.9021)\n  centers[19] = (0.1169, 0.8778)\n  centers[20] = (0.7625, 0.0485)\n  centers[21] = (0.7078, 0.2102)\n  centers[22] = (0.6698, 0.7153)\n  centers[23] = (0.8868, 0.6059)\n  centers[24] = (0.8819, 0.8438)\n  centers[25] = (0.4870, 0.2990)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9208848773449384,
+        "aux_edge_utilization": 0.6192307692307693,
+        "aux_density_variance": 0.631946359526152,
+        "aux_packing_efficiency": 0.7822330050461962,
+        "aux_radius_distribution": 0.9947372351472321,
+        "aux_gap_analysis": 0.7824,
+        "aux_geometric_quality": 0.7065026014491093
+    },
+    "private": {
+        "reported_sum_of_radii": 2.4672862659022603
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4673\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.921\n  \u2022 Area utilization efficiency: 0.782\n  \u2022 Area coverage (1 - gap ratio): 0.782\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.619\n  \u2022 Spatial density uniformity across grid: 0.632\n  \u2022 Radius size diversity: 0.995\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_38/results/packing_viz.png",
+    "execution_time_mean": 16015.546211686917,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..7c20a1c6eb0cc52f2626af983f49bec44db8930f
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4720a014bebf24c9e4b6e92a9486d29102b8c24f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.01751952657876505,
+    "coefficient_of_variation": 0.08804167661183819
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.7665025120015905,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 7.291474370133989e-05,
+    "mean_density": 0.028031028376216193,
+    "cv": 0.3046271660462934
+  },
+  "packing_efficiency": 0.7280011013450205,
+  "packing_efficiency_details": {
+    "total_area": 0.7280011013450205,
+    "square_area": 1.0,
+    "efficiency": 0.7280011013450205,
+    "relative_to_estimated_best": 0.8666679777916911
+  },
+  "radius_distribution": 0.3907866536347424,
+  "radius_distribution_details": {
+    "mean": 0.09309284727349035,
+    "std": 0.01569751837342869,
+    "min": 0.04263025505482162,
+    "max": 0.10006653359946772,
+    "range": 0.057436278544646106,
+    "small_count": 4,
+    "medium_count": 22,
+    "large_count": 0,
+    "diversity_score": 0.3907866536347424
+  },
+  "gap_analysis": 0.736,
+  "gap_analysis_details": {
+    "covered_samples": 1840,
+    "total_samples": 2500,
+    "coverage": 0.736,
+    "gap_ratio": 0.264
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865471,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..b67000c004267be6b5608e09cd4ccd1f98e76dea
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 3.21 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4204
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.767
+    • packing_efficiency: 0.728
+    • radius_distribution: 0.391
+    • gap_analysis: 0.736
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4204
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.767
+  • Area utilization efficiency: 0.728
+  • Area coverage (1 - gap ratio): 0.736
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.391
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..13adf4fdbf58ae42c24622748e482f6aa4c661f3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.420414029110749,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.6000, 0.6000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.7665025120015905,
+        "aux_packing_efficiency": 0.7280011013450205,
+        "aux_radius_distribution": 0.3907866536347424,
+        "aux_gap_analysis": 0.736,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.420414029110749
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4204\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.767\n  \u2022 Area utilization efficiency: 0.728\n  \u2022 Area coverage (1 - gap ratio): 0.736\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.391\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_39/results/packing_viz.png",
+    "execution_time_mean": 3.211104007437825,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..e24eeaf3378d82a793ddce7139dc2ffdc08392ca
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..8d0f0eb66a8ae718f796b87b3efed58634d7b2cb
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989912864558928,
+    "cell_size_std": 0.017519526578765057,
+    "coefficient_of_variation": 0.08804167661183823
+  },
+  "edge_utilization": 0.5576923076923077,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 7,
+    "corner_score": 0.75,
+    "edge_score": 0.2692307692307692
+  },
+  "density_variance": 0.5266953704227482,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0002125578010222961,
+    "mean_density": 0.016223974161169556,
+    "cv": 0.8986307003180176
+  },
+  "packing_efficiency": 0.5003685136381621,
+  "packing_efficiency_details": {
+    "total_area": 0.5003685136381621,
+    "square_area": 1.0,
+    "efficiency": 0.5003685136381621,
+    "relative_to_estimated_best": 0.595676801950193
+  },
+  "radius_distribution": 0.9341661379115739,
+  "radius_distribution_details": {
+    "mean": 0.07384972812578526,
+    "std": 0.02592437498360419,
+    "min": 0.018763537743601958,
+    "max": 0.10261558125579383,
+    "range": 0.08385204351219187,
+    "small_count": 8,
+    "medium_count": 5,
+    "large_count": 13,
+    "diversity_score": 0.9341661379115739
+  },
+  "gap_analysis": 0.5056,
+  "gap_analysis_details": {
+    "covered_samples": 1264,
+    "total_samples": 2500,
+    "coverage": 0.5056,
+    "gap_ratio": 0.49439999999999995
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..57d4a240c7338e93841dc8fa08b05bb32b30163d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.9201
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.558
+    • density_variance: 0.527
+    • packing_efficiency: 0.500
+    • radius_distribution: 0.934
+    • gap_analysis: 0.506
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.9201
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.558
+  • Spatial density uniformity across grid: 0.527
+  • Area utilization efficiency: 0.500
+  • Radius size diversity: 0.934
+  • Area coverage (1 - gap ratio): 0.506
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..fc50eb9d2d16fdcce064d21b514a2198249a29b9
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.9200929312704167,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.5576923076923077,
+        "aux_density_variance": 0.5266953704227482,
+        "aux_packing_efficiency": 0.5003685136381621,
+        "aux_radius_distribution": 0.9341661379115739,
+        "aux_gap_analysis": 0.5056,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 1.9200929312704167
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.9201\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.558\n  \u2022 Spatial density uniformity across grid: 0.527\n  \u2022 Area utilization efficiency: 0.500\n  \u2022 Radius size diversity: 0.934\n  \u2022 Area coverage (1 - gap ratio): 0.506\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_4/results/packing_viz.png",
+    "execution_time_mean": 0.003656555898487568,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..7bd8a20fc4471e4c4ae744f554b805d2a12b4d25
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..85a9ff33e67c28e14e7e7a1dce3364836766e46a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": false,
+    "error": "name 'product' is not defined"
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..eb6d405be8c018fc23031273b49c11e0f761a346
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/job_log.out
@@ -0,0 +1,35 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Evaluation error: name 'product' is not defined
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/metrics.json
+
+======================================================================
+❌ EVALUATION FAILED
+Error: name 'product' is not defined
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 0.0000
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..fec2021a6a036637c9d3049ae9778c77cef78421
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_43/results/metrics.json
@@ -0,0 +1,9 @@
+{
+    "combined_score": 0.0,
+    "execution_time_mean": 0.0,
+    "execution_time_std": 0.0,
+    "num_successful_runs": 0,
+    "num_valid_runs": 0,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..85a9ff33e67c28e14e7e7a1dce3364836766e46a
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+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": false,
+    "error": "name 'product' is not defined"
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..8cb275f98fdb5b5f88c3dc1cafd1b08781facf44
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/job_log.out
@@ -0,0 +1,35 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Evaluation error: name 'product' is not defined
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/metrics.json
+
+======================================================================
+❌ EVALUATION FAILED
+Error: name 'product' is not defined
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 0.0000
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..fec2021a6a036637c9d3049ae9778c77cef78421
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_45/results/metrics.json
@@ -0,0 +1,9 @@
+{
+    "combined_score": 0.0,
+    "execution_time_mean": 0.0,
+    "execution_time_std": 0.0,
+    "num_successful_runs": 0,
+    "num_valid_runs": 0,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..881f9ca0a8882f03bea0db4b81cbd3f061b67bae
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625010763616,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367083104615739e-10,
+    "mean_density": 0.0313897130414075,
+    "cv": 0.0007380432297258254
+  },
+  "packing_efficiency": 0.790148831465635,
+  "packing_efficiency_details": {
+    "total_area": 0.790148831465635,
+    "square_area": 1.0,
+    "efficiency": 0.790148831465635,
+    "relative_to_estimated_best": 0.9406533707924226
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919060319892,
+    "std": 0.011245427233808303,
+    "min": 0.041482345320325055,
+    "max": 0.10001038686454379,
+    "range": 0.058528041544218735,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..356ccab04b9bbf5a05c9fa8dff55c76a59b03162
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 173.77 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..e3279dab3af7aeb73240224c981b360ee38de2a2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438955683172,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625010763616,
+        "aux_packing_efficiency": 0.790148831465635,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438955683172
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_46/results/packing_viz.png",
+    "execution_time_mean": 173.76810852624476,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/__pycache__/main.cpython-311.pyc
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diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/auxiliary_analysis.json
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@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9150584320656955,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19878914158598754,
+    "cell_size_std": 0.018452877835846836,
+    "coefficient_of_variation": 0.09282638677243112
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9147117758812632,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.160257658104159e-06,
+    "mean_density": 0.030637062340378475,
+    "cv": 0.09324054458199955
+  },
+  "packing_efficiency": 0.7717584569502103,
+  "packing_efficiency_details": {
+    "total_area": 0.7717584569502103,
+    "square_area": 1.0,
+    "efficiency": 0.7717584569502103,
+    "relative_to_estimated_best": 0.9187600677978695
+  },
+  "radius_distribution": 0.24684720336654664,
+  "radius_distribution_details": {
+    "mean": 0.09648210986213661,
+    "std": 0.011815262267206965,
+    "min": 0.04308539113098544,
+    "max": 0.1000682339005445,
+    "range": 0.05698284276955907,
+    "small_count": 2,
+    "medium_count": 24,
+    "large_count": 0,
+    "diversity_score": 0.24684720336654664
+  },
+  "gap_analysis": 0.7868,
+  "gap_analysis_details": {
+    "covered_samples": 1967,
+    "total_samples": 2500,
+    "coverage": 0.7868,
+    "gap_ratio": 0.21319999999999995
+  },
+  "geometric_quality": 0.7007481063357188,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7007481063357188,
+    "min_quality": 0.5892556509887904,
+    "max_quality": 0.7168604389202188
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..55c51c74538e0a30e122b815efea9d172c7b73d6
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 43.11 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5085
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.915
+    • edge_utilization: 0.785
+    • density_variance: 0.915
+    • packing_efficiency: 0.772
+    • radius_distribution: 0.247
+    • gap_analysis: 0.787
+    • geometric_quality: 0.701
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5085
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.915
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.915
+  • Area utilization efficiency: 0.772
+  • Area coverage (1 - gap ratio): 0.787
+  • Delaunay triangulation quality: 0.701
+
+📊 Other Metrics:
+  • Radius size diversity: 0.247
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..452d0718459c23bab4b3349d3f56e4daefee270d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.508534856415552,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.6167, 0.6167)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9150584320656955,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9147117758812632,
+        "aux_packing_efficiency": 0.7717584569502103,
+        "aux_radius_distribution": 0.24684720336654664,
+        "aux_gap_analysis": 0.7868,
+        "aux_geometric_quality": 0.7007481063357188
+    },
+    "private": {
+        "reported_sum_of_radii": 2.508534856415552
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5085\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.915\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.915\n  \u2022 Area utilization efficiency: 0.772\n  \u2022 Area coverage (1 - gap ratio): 0.787\n  \u2022 Delaunay triangulation quality: 0.701\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.247\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_47/results/packing_viz.png",
+    "execution_time_mean": 43.113606662955135,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b67fbe3e017565e68ba656a533cc3123b2300fff
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..1579fbb072f4c0db8e3225df8c8a158a169392dd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227802225521738,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979292003985259,
+    "cell_size_std": 0.016563043408265067,
+    "coefficient_of_variation": 0.08368165632576752
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9379608984545514,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.060995064791758e-06,
+    "mean_density": 0.030467403963246847,
+    "cv": 0.06614252432875231
+  },
+  "packing_efficiency": 0.7670835550019972,
+  "packing_efficiency_details": {
+    "total_area": 0.7670835550019972,
+    "square_area": 1.0,
+    "efficiency": 0.7670835550019972,
+    "relative_to_estimated_best": 0.913194708335711
+  },
+  "radius_distribution": 0.24684720336654664,
+  "radius_distribution_details": {
+    "mean": 0.09622979741921173,
+    "std": 0.011445115503731338,
+    "min": 0.04145337006476529,
+    "max": 0.1000167818302658,
+    "range": 0.05856341176550051,
+    "small_count": 2,
+    "medium_count": 24,
+    "large_count": 0,
+    "diversity_score": 0.24684720336654664
+  },
+  "gap_analysis": 0.7808,
+  "gap_analysis_details": {
+    "covered_samples": 1952,
+    "total_samples": 2500,
+    "coverage": 0.7808,
+    "gap_ratio": 0.21919999999999995
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..d80abc569cd7f18266cf6496e8a823c634d20d99
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 13.20 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5020
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.938
+    • packing_efficiency: 0.767
+    • radius_distribution: 0.247
+    • gap_analysis: 0.781
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5020
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.938
+  • Area utilization efficiency: 0.767
+  • Area coverage (1 - gap ratio): 0.781
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.247
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..bce01759f36f5de4a2aa67f28c849a06e32ee692
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.501974732899505,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227802225521738,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9379608984545514,
+        "aux_packing_efficiency": 0.7670835550019972,
+        "aux_radius_distribution": 0.24684720336654664,
+        "aux_gap_analysis": 0.7808,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.501974732899505
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5020\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.938\n  \u2022 Area utilization efficiency: 0.767\n  \u2022 Area coverage (1 - gap ratio): 0.781\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.247\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_48/results/packing_viz.png",
+    "execution_time_mean": 13.204139410983771,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..25c5dbd74004403c2527170707de7423b1083f0c
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..69eaf3fcf28f97594640f72e9c9409221554074b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190623765323183,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989898887035169,
+    "cell_size_std": 0.017524130220047632,
+    "coefficient_of_variation": 0.08806543008872232
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990513049120452,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.885833543524616e-10,
+    "mean_density": 0.03139136584328325,
+    "cv": 0.0009495959649823877
+  },
+  "packing_efficiency": 0.7901868141689803,
+  "packing_efficiency_details": {
+    "total_area": 0.7901868141689803,
+    "square_area": 1.0,
+    "efficiency": 0.7901868141689803,
+    "relative_to_estimated_best": 0.9406985882964052
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771122412088656,
+    "std": 0.011248433365798415,
+    "min": 0.04146953898742474,
+    "max": 0.10001130434766904,
+    "range": 0.0585417653602443,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070746571100462,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070746571100462,
+    "min_quality": 0.7065604607023408,
+    "max_quality": 0.7076061212052208
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..62e36c8730b75e32d2bc52b43d6e383d1e84334d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 185.65 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..42113e7c215b6347dfe2b7750bc403c6748f266c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5404918271430508,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190623765323183,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990513049120452,
+        "aux_packing_efficiency": 0.7901868141689803,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070746571100462
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5404918271430508
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_49/results/packing_viz.png",
+    "execution_time_mean": 185.64986319094896,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..362342f0e39d5449352686677a221d3cb1cf17d2
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..bca0de8da1cb474181c77f7d15b75bcf79f66836
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539162,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765068,
+    "coefficient_of_variation": 0.08804167661183827
+  },
+  "edge_utilization": 0.5576923076923077,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 7,
+    "corner_score": 0.75,
+    "edge_score": 0.2692307692307692
+  },
+  "density_variance": 0.5266953704227482,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00021255780102229574,
+    "mean_density": 0.01622397416116954,
+    "cv": 0.8986307003180176
+  },
+  "packing_efficiency": 0.5003685136381619,
+  "packing_efficiency_details": {
+    "total_area": 0.5003685136381619,
+    "square_area": 1.0,
+    "efficiency": 0.5003685136381619,
+    "relative_to_estimated_best": 0.5956768019501928
+  },
+  "radius_distribution": 0.9341661379115739,
+  "radius_distribution_details": {
+    "mean": 0.07384972812578525,
+    "std": 0.02592437498360417,
+    "min": 0.018763537743601944,
+    "max": 0.10261558125579377,
+    "range": 0.08385204351219183,
+    "small_count": 8,
+    "medium_count": 5,
+    "large_count": 13,
+    "diversity_score": 0.9341661379115739
+  },
+  "gap_analysis": 0.5056,
+  "gap_analysis_details": {
+    "covered_samples": 1264,
+    "total_samples": 2500,
+    "coverage": 0.5056,
+    "gap_ratio": 0.49439999999999995
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..8e10d2d3c1527c013c1c2873d013dc9995b62129
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.9201
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.558
+    • density_variance: 0.527
+    • packing_efficiency: 0.500
+    • radius_distribution: 0.934
+    • gap_analysis: 0.506
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.9201
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.558
+  • Spatial density uniformity across grid: 0.527
+  • Area utilization efficiency: 0.500
+  • Radius size diversity: 0.934
+  • Area coverage (1 - gap ratio): 0.506
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d82fd08f0dce1ae9060d67762b11f5acabf1a3fa
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.9200929312704162,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539162,
+        "aux_edge_utilization": 0.5576923076923077,
+        "aux_density_variance": 0.5266953704227482,
+        "aux_packing_efficiency": 0.5003685136381619,
+        "aux_radius_distribution": 0.9341661379115739,
+        "aux_gap_analysis": 0.5056,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 1.9200929312704162
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.9201\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.558\n  \u2022 Spatial density uniformity across grid: 0.527\n  \u2022 Area utilization efficiency: 0.500\n  \u2022 Radius size diversity: 0.934\n  \u2022 Area coverage (1 - gap ratio): 0.506\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 49.4% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_5/results/packing_viz.png",
+    "execution_time_mean": 0.0036335280165076256,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..63fb5f87bd8c8c6fa47f9c6f3b99795eed17f33d
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..9f2ff8a5c24ce155f1733920699b99bf1f9dd96c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.8704642477104642,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19599902320649973,
+    "cell_size_std": 0.02916705782619209,
+    "coefficient_of_variation": 0.14881226038892112
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.6028935441284544,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00048446238352932685,
+    "mean_density": 0.03341671106688418,
+    "cv": 0.6586676200781093
+  },
+  "packing_efficiency": 0.8055064181149912,
+  "packing_efficiency_details": {
+    "total_area": 0.8055064181149912,
+    "square_area": 1.0,
+    "efficiency": 0.8055064181149912,
+    "relative_to_estimated_best": 0.9589362120416562
+  },
+  "radius_distribution": 0.9947372351472321,
+  "radius_distribution_details": {
+    "mean": 0.0960497910419179,
+    "std": 0.025219067062746015,
+    "min": 0.05475277521638232,
+    "max": 0.15602128192733275,
+    "range": 0.10126850671095043,
+    "small_count": 8,
+    "medium_count": 10,
+    "large_count": 8,
+    "diversity_score": 0.9947372351472321
+  },
+  "gap_analysis": 0.8056,
+  "gap_analysis_details": {
+    "covered_samples": 2014,
+    "total_samples": 2500,
+    "coverage": 0.8056,
+    "gap_ratio": 0.19440000000000002
+  },
+  "geometric_quality": 0.6824403553628717,
+  "geometric_quality_details": {
+    "num_triangles": 41,
+    "avg_triangle_quality": 0.6824403553628717,
+    "min_quality": 0.2662243160796793,
+    "max_quality": 0.9489657397057341
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..2e5e3200a6c9bef31d4ff18f13b71a03a0321385
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 19718.84 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4973
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.870
+    • edge_utilization: 0.785
+    • density_variance: 0.603
+    • packing_efficiency: 0.806
+    • radius_distribution: 0.995
+    • gap_analysis: 0.806
+    • geometric_quality: 0.682
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4973
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.870
+  • Boundary and corner utilization: 0.785
+  • Area utilization efficiency: 0.806
+  • Area coverage (1 - gap ratio): 0.806
+
+📊 Other Metrics:
+  • Spatial density uniformity across grid: 0.603
+  • Radius size diversity: 0.995
+  • Delaunay triangulation quality: 0.682
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..4722bd29c5c6c44a85eee7c3e80f3ab77a1bd7e1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.4972945670898654,
+    "public": {
+        "centers_str": "  centers[0] = (0.0650, 0.5050)\n  centers[1] = (0.1192, 0.1191)\n  centers[2] = (0.0881, 0.9119)\n  centers[3] = (0.0577, 0.7696)\n  centers[4] = (0.7265, 0.8914)\n  centers[5] = (0.7403, 0.1134)\n  centers[6] = (0.1475, 0.3487)\n  centers[7] = (0.3518, 0.3123)\n  centers[8] = (0.4521, 0.5366)\n  centers[9] = (0.0738, 0.6412)\n  centers[10] = (0.5832, 0.0662)\n  centers[11] = (0.6675, 0.4523)\n  centers[12] = (0.5688, 0.2599)\n  centers[13] = (0.8990, 0.7308)\n  centers[14] = (0.4689, 0.8432)\n  centers[15] = (0.3318, 0.1244)\n  centers[16] = (0.9232, 0.2391)\n  centers[17] = (0.7775, 0.3149)\n  centers[18] = (0.2515, 0.9241)\n  centers[19] = (0.2243, 0.7411)\n  centers[20] = (0.9166, 0.0814)\n  centers[21] = (0.4626, 0.0550)\n  centers[22] = (0.6849, 0.6661)\n  centers[23] = (0.9155, 0.9154)\n  centers[24] = (0.8744, 0.5054)\n  centers[25] = (0.2171, 0.5406)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.8704642477104642,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.6028935441284544,
+        "aux_packing_efficiency": 0.8055064181149912,
+        "aux_radius_distribution": 0.9947372351472321,
+        "aux_gap_analysis": 0.8056,
+        "aux_geometric_quality": 0.6824403553628717
+    },
+    "private": {
+        "reported_sum_of_radii": 2.4972945670898654
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4973\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.870\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Area utilization efficiency: 0.806\n  \u2022 Area coverage (1 - gap ratio): 0.806\n\n\ud83d\udcca Other Metrics:\n  \u2022 Spatial density uniformity across grid: 0.603\n  \u2022 Radius size diversity: 0.995\n  \u2022 Delaunay triangulation quality: 0.682\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_51/results/packing_viz.png",
+    "execution_time_mean": 19718.84027542686,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..0c1d68126192135177476b1b215736f09513306e
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e08122e3db256b4c6f23cd3e0df60181705c32d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625012101759,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367081147457799e-10,
+    "mean_density": 0.03138971301778572,
+    "cv": 0.0007380430957139702
+  },
+  "packing_efficiency": 0.7901488308573078,
+  "packing_efficiency_details": {
+    "total_area": 0.7901488308573078,
+    "square_area": 1.0,
+    "efficiency": 0.7901488308573078,
+    "relative_to_estimated_best": 0.9406533700682236
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919056441288,
+    "std": 0.01124542723967504,
+    "min": 0.0414823452520988,
+    "max": 0.10001038684395715,
+    "range": 0.05852804159185835,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..be0b0f70442c93124d1a9ccb45d71ac8e02628d8
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 117.76 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..6c0f9e74c49640bf4d22f7203d167be2ffe2a1f7
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438954674735,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625012101759,
+        "aux_packing_efficiency": 0.7901488308573078,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438954674735
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_54/results/packing_viz.png",
+    "execution_time_mean": 117.75966563494876,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..0f2dc573733be4a8ffd1bedcac25e00cf7b44b66
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e08122e3db256b4c6f23cd3e0df60181705c32d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625012101759,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367081147457799e-10,
+    "mean_density": 0.03138971301778572,
+    "cv": 0.0007380430957139702
+  },
+  "packing_efficiency": 0.7901488308573078,
+  "packing_efficiency_details": {
+    "total_area": 0.7901488308573078,
+    "square_area": 1.0,
+    "efficiency": 0.7901488308573078,
+    "relative_to_estimated_best": 0.9406533700682236
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919056441288,
+    "std": 0.01124542723967504,
+    "min": 0.0414823452520988,
+    "max": 0.10001038684395715,
+    "range": 0.05852804159185835,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..c3574f1521370c3dd0edeab9ec411725041a18a3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 212.23 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..6cc9783449fe1d9d401bc30b1ed67e9772ff0ee7
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438954674735,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625012101759,
+        "aux_packing_efficiency": 0.7901488308573078,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438954674735
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_55/results/packing_viz.png",
+    "execution_time_mean": 212.22583948494866,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..091399940bb6719e41710cc4c123c191ed64881d
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..9b12ee6325cada73d31461cbdaa653d16bd94879
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9150584320656955,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19878914158598754,
+    "cell_size_std": 0.018452877835846836,
+    "coefficient_of_variation": 0.09282638677243112
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9147117758812632,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.160257658104159e-06,
+    "mean_density": 0.030637062340378475,
+    "cv": 0.09324054458199955
+  },
+  "packing_efficiency": 0.7717584569502103,
+  "packing_efficiency_details": {
+    "total_area": 0.7717584569502103,
+    "square_area": 1.0,
+    "efficiency": 0.7717584569502103,
+    "relative_to_estimated_best": 0.9187600677978695
+  },
+  "radius_distribution": 0.24684720336654664,
+  "radius_distribution_details": {
+    "mean": 0.09648210986213661,
+    "std": 0.011815262267206965,
+    "min": 0.04308539113098544,
+    "max": 0.1000682339005445,
+    "range": 0.05698284276955907,
+    "small_count": 2,
+    "medium_count": 24,
+    "large_count": 0,
+    "diversity_score": 0.24684720336654664
+  },
+  "gap_analysis": 0.7868,
+  "gap_analysis_details": {
+    "covered_samples": 1967,
+    "total_samples": 2500,
+    "coverage": 0.7868,
+    "gap_ratio": 0.21319999999999995
+  },
+  "geometric_quality": 0.7007481063357188,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7007481063357188,
+    "min_quality": 0.5892556509887904,
+    "max_quality": 0.7168604389202188
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..36f3f2b69405c0db15b79fb603d3b4b9f977df0c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 39.62 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5085
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.915
+    • edge_utilization: 0.785
+    • density_variance: 0.915
+    • packing_efficiency: 0.772
+    • radius_distribution: 0.247
+    • gap_analysis: 0.787
+    • geometric_quality: 0.701
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5085
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.915
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.915
+  • Area utilization efficiency: 0.772
+  • Area coverage (1 - gap ratio): 0.787
+  • Delaunay triangulation quality: 0.701
+
+📊 Other Metrics:
+  • Radius size diversity: 0.247
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..229b029753d40ca60215400af771aba6a6c7e59e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.508534856415552,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.6167, 0.6167)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9150584320656955,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9147117758812632,
+        "aux_packing_efficiency": 0.7717584569502103,
+        "aux_radius_distribution": 0.24684720336654664,
+        "aux_gap_analysis": 0.7868,
+        "aux_geometric_quality": 0.7007481063357188
+    },
+    "private": {
+        "reported_sum_of_radii": 2.508534856415552
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5085\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.915\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.915\n  \u2022 Area utilization efficiency: 0.772\n  \u2022 Area coverage (1 - gap ratio): 0.787\n  \u2022 Delaunay triangulation quality: 0.701\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.247\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_56/results/packing_viz.png",
+    "execution_time_mean": 39.61762042623013,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..5d4c0d70da17ee62d44bcbd18bc74bd6a027d12e
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..260ddd7ff8f80dc46408dcee6c6208d13ea6c4ae
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9188631450989233,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19897627798682946,
+    "cell_size_std": 0.017569873776113295,
+    "coefficient_of_variation": 0.08830134861088779
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9983977428422306,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 2.5371295121509057e-09,
+    "mean_density": 0.031386484524344394,
+    "cv": 0.0016048285057297053
+  },
+  "packing_efficiency": 0.7898436168023018,
+  "packing_efficiency_details": {
+    "total_area": 0.7898436168023018,
+    "square_area": 1.0,
+    "efficiency": 0.7898436168023018,
+    "relative_to_estimated_best": 0.9402900200027402
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09767074334421781,
+    "std": 0.011412046648878241,
+    "min": 0.04061186835150412,
+    "max": 0.10002870343509869,
+    "range": 0.05941683508359457,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7067566116991373,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7067566116991373,
+    "min_quality": 0.7011285277424817,
+    "max_quality": 0.7112049667447181
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..1b2cc8eeb3a2959c3470df8d61630b0f161afa36
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 9790.97 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5394
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.998
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5394
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.998
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..1350c467bc0f9977c83f477dbc9cd7b1bc74fa20
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.539439326949663,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7997, 0.6014)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9188631450989233,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9983977428422306,
+        "aux_packing_efficiency": 0.7898436168023018,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7067566116991373
+    },
+    "private": {
+        "reported_sum_of_radii": 2.539439326949663
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5394\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.998\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_57/results/packing_viz.png",
+    "execution_time_mean": 9790.971237828024,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..8d55f812b53f91826986e492268b169713092db0
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..852a61a8a923674f0ccd139c5cd174cbdc5069fa
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190457785494492,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989887332359867,
+    "cell_size_std": 0.01752793868759184,
+    "coefficient_of_variation": 0.08808508056946045
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.937651556655256,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.241423128264478e-06,
+    "mean_density": 0.030972171126414642,
+    "cv": 0.06649425674410468
+  },
+  "packing_efficiency": 0.779687292374705,
+  "packing_efficiency_details": {
+    "total_area": 0.779687292374705,
+    "square_area": 1.0,
+    "efficiency": 0.779687292374705,
+    "relative_to_estimated_best": 0.9281991575889346
+  },
+  "radius_distribution": 0.24684720336654664,
+  "radius_distribution_details": {
+    "mean": 0.09700122635875055,
+    "std": 0.01167177315330849,
+    "min": 0.04139404113990222,
+    "max": 0.10002718816715384,
+    "range": 0.058633147027251614,
+    "small_count": 2,
+    "medium_count": 24,
+    "large_count": 0,
+    "diversity_score": 0.24684720336654664
+  },
+  "gap_analysis": 0.7936,
+  "gap_analysis_details": {
+    "covered_samples": 1984,
+    "total_samples": 2500,
+    "coverage": 0.7936,
+    "gap_ratio": 0.20640000000000003
+  },
+  "geometric_quality": 0.7070480750366467,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070480750366467,
+    "min_quality": 0.7061080712611253,
+    "max_quality": 0.707413754204586
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..b8cc3b50e9d43cfb0794f7268b6f331614f0822f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 218.63 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5220
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.938
+    • packing_efficiency: 0.780
+    • radius_distribution: 0.247
+    • gap_analysis: 0.794
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5220
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.938
+  • Area utilization efficiency: 0.780
+  • Area coverage (1 - gap ratio): 0.794
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.247
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..70ea8ff569e7d3ec188729166ce3b197533183ff
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5220318853275145,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.6001, 0.6002)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190457785494492,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.937651556655256,
+        "aux_packing_efficiency": 0.779687292374705,
+        "aux_radius_distribution": 0.24684720336654664,
+        "aux_gap_analysis": 0.7936,
+        "aux_geometric_quality": 0.7070480750366467
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5220318853275145
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5220\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.938\n  \u2022 Area utilization efficiency: 0.780\n  \u2022 Area coverage (1 - gap ratio): 0.794\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.247\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_59/results/packing_viz.png",
+    "execution_time_mean": 218.62644692324102,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..15eba794dfe6a54de4681f124c384570a9ddf335
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..0577f70566d474defb620b0d13c59f6778fa94f2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9430595090087144,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19735008599808113,
+    "cell_size_std": 0.011915696457645099,
+    "coefficient_of_variation": 0.06037847076176337
+  },
+  "edge_utilization": 0.18461538461538463,
+  "edge_utilization_details": {
+    "corners_touched": 0,
+    "edges_touched": 12,
+    "corner_score": 0.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.40986773450269515,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00036986801857711015,
+    "mean_density": 0.013357270737924112,
+    "cv": 1.4398114704328464
+  },
+  "packing_efficiency": 0.38944995516982134,
+  "packing_efficiency_details": {
+    "total_area": 0.38944995516982134,
+    "square_area": 1.0,
+    "efficiency": 0.38944995516982134,
+    "relative_to_estimated_best": 0.4636308990116921
+  },
+  "radius_distribution": 0.9194324210397706,
+  "radius_distribution_details": {
+    "mean": 0.06258660461494966,
+    "std": 0.02916901075328667,
+    "min": 0.01659707115361589,
+    "max": 0.12230560893285225,
+    "range": 0.10570853777923636,
+    "small_count": 6,
+    "medium_count": 14,
+    "large_count": 6,
+    "diversity_score": 0.9194324210397706
+  },
+  "gap_analysis": 0.3876,
+  "gap_analysis_details": {
+    "covered_samples": 969,
+    "total_samples": 2500,
+    "coverage": 0.3876,
+    "gap_ratio": 0.6124
+  },
+  "geometric_quality": 0.6898945446220446,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.6898945446220446,
+    "min_quality": 0.6050506134969001,
+    "max_quality": 0.7893790689880213
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..3a69e1d1943498c802902031271d842e32eadca2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/job_log.out
@@ -0,0 +1,77 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.00 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.6273
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.943
+    • edge_utilization: 0.185
+    • density_variance: 0.410
+    • packing_efficiency: 0.389
+    • radius_distribution: 0.919
+    • gap_analysis: 0.388
+    • geometric_quality: 0.690
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.6273
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.943
+
+⚠️  Areas for Improvement:
+  • Boundary and corner utilization: 0.185
+    → Consider placing larger circles near boundaries and corners
+  • Spatial density uniformity across grid: 0.410
+    → Balance circle density across different regions
+  • Area utilization efficiency: 0.389
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.388
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Radius size diversity: 0.919
+  • Delaunay triangulation quality: 0.690
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Only 0/4 corners are utilized. Place larger circles at unused corners.
+  2. Detected 61.2% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..73c0a4a6f2e92f892cbb969a0f246c78f7f6c536
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.6272517199886911,
+    "public": {
+        "centers_str": "  centers[0] = (0.5000, 0.5000)\n  centers[1] = (0.7500, 0.5000)\n  centers[2] = (0.6915, 0.6607)\n  centers[3] = (0.5434, 0.7462)\n  centers[4] = (0.3750, 0.7165)\n  centers[5] = (0.2651, 0.5855)\n  centers[6] = (0.2651, 0.4145)\n  centers[7] = (0.3750, 0.2835)\n  centers[8] = (0.5434, 0.2538)\n  centers[9] = (0.6915, 0.3393)\n  centers[10] = (0.9700, 0.5000)\n  centers[11] = (0.9342, 0.6799)\n  centers[12] = (0.8323, 0.8323)\n  centers[13] = (0.6799, 0.9342)\n  centers[14] = (0.5000, 0.9700)\n  centers[15] = (0.3201, 0.9342)\n  centers[16] = (0.1677, 0.8323)\n  centers[17] = (0.0658, 0.6799)\n  centers[18] = (0.0300, 0.5000)\n  centers[19] = (0.0658, 0.3201)\n  centers[20] = (0.1677, 0.1677)\n  centers[21] = (0.3201, 0.0658)\n  centers[22] = (0.5000, 0.0300)\n  centers[23] = (0.6799, 0.0658)\n  centers[24] = (0.8323, 0.1677)\n  centers[25] = (0.9342, 0.3201)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9430595090087144,
+        "aux_edge_utilization": 0.18461538461538463,
+        "aux_density_variance": 0.40986773450269515,
+        "aux_packing_efficiency": 0.38944995516982134,
+        "aux_radius_distribution": 0.9194324210397706,
+        "aux_gap_analysis": 0.3876,
+        "aux_geometric_quality": 0.6898945446220446
+    },
+    "private": {
+        "reported_sum_of_radii": 1.6272517199886911
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.6273\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.943\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Boundary and corner utilization: 0.185\n    \u2192 Consider placing larger circles near boundaries and corners\n  \u2022 Spatial density uniformity across grid: 0.410\n    \u2192 Balance circle density across different regions\n  \u2022 Area utilization efficiency: 0.389\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.388\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.919\n  \u2022 Delaunay triangulation quality: 0.690\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Only 0/4 corners are utilized. Place larger circles at unused corners.\n  2. Detected 61.2% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_6/results/packing_viz.png",
+    "execution_time_mean": 0.0020752721466124058,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..356e7486651289792515120cdc16fada72327182
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..2f52771db6518a6bbab40726ff001b4d3acf4e5d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190480603903443,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989888917731361,
+    "cell_size_std": 0.01752741507764183,
+    "coefficient_of_variation": 0.08808237903823377
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9375620582954056,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.254343253764785e-06,
+    "mean_density": 0.03097188909600404,
+    "cv": 0.06659606279088721
+  },
+  "packing_efficiency": 0.7796767137743217,
+  "packing_efficiency_details": {
+    "total_area": 0.7796767137743217,
+    "square_area": 1.0,
+    "efficiency": 0.7796767137743217,
+    "relative_to_estimated_best": 0.9281865640170497
+  },
+  "radius_distribution": 0.24684720336654664,
+  "radius_distribution_details": {
+    "mean": 0.09700005516926033,
+    "std": 0.011675957789452594,
+    "min": 0.04138047481005283,
+    "max": 0.1,
+    "range": 0.058619525189947175,
+    "small_count": 2,
+    "medium_count": 24,
+    "large_count": 0,
+    "diversity_score": 0.24684720336654664
+  },
+  "gap_analysis": 0.7936,
+  "gap_analysis_details": {
+    "covered_samples": 1984,
+    "total_samples": 2500,
+    "coverage": 0.7936,
+    "gap_ratio": 0.20640000000000003
+  },
+  "geometric_quality": 0.7070517279424253,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070517279424253,
+    "min_quality": 0.7061702557692282,
+    "max_quality": 0.7073963479586035
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..19dc1ba47c30ae2df8f6e37049599a02fde26058
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 198.17 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5220
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.938
+    • packing_efficiency: 0.780
+    • radius_distribution: 0.247
+    • gap_analysis: 0.794
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5220
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.938
+  • Area utilization efficiency: 0.780
+  • Area coverage (1 - gap ratio): 0.794
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.247
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..0f883c80544511a02c6244f51290eae294d21cd5
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5220014344007686,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.6002, 0.6001)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190480603903443,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9375620582954056,
+        "aux_packing_efficiency": 0.7796767137743217,
+        "aux_radius_distribution": 0.24684720336654664,
+        "aux_gap_analysis": 0.7936,
+        "aux_geometric_quality": 0.7070517279424253
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5220014344007686
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5220\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.938\n  \u2022 Area utilization efficiency: 0.780\n  \u2022 Area coverage (1 - gap ratio): 0.794\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.247\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_60/results/packing_viz.png",
+    "execution_time_mean": 198.1658174144104,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..1dbfe2a68e5870de38ce06c77a72fa477d8198d1
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..ca7967f505e53bee3141e045fa98c9269dcec9ba
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9212520203134064,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19803030926699774,
+    "cell_size_std": 0.016927492701649834,
+    "coefficient_of_variation": 0.08547930202617494
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9236861108702871,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 6.4213291795519156e-06,
+    "mean_density": 0.030671377367317953,
+    "cv": 0.08261885529253096
+  },
+  "packing_efficiency": 0.7723743015986827,
+  "packing_efficiency_details": {
+    "total_area": 0.7723743015986827,
+    "square_area": 1.0,
+    "efficiency": 0.7723743015986827,
+    "relative_to_estimated_best": 0.919493216188908
+  },
+  "radius_distribution": 0.5863577256671294,
+  "radius_distribution_details": {
+    "mean": 0.09654927854992365,
+    "std": 0.011583365280704583,
+    "min": 0.04218186886429682,
+    "max": 0.10738812411758136,
+    "range": 0.06520625525328455,
+    "small_count": 1,
+    "medium_count": 20,
+    "large_count": 5,
+    "diversity_score": 0.5863577256671294
+  },
+  "gap_analysis": 0.78,
+  "gap_analysis_details": {
+    "covered_samples": 1950,
+    "total_samples": 2500,
+    "coverage": 0.78,
+    "gap_ratio": 0.21999999999999997
+  },
+  "geometric_quality": 0.6648581154307276,
+  "geometric_quality_details": {
+    "num_triangles": 40,
+    "avg_triangle_quality": 0.6648581154307276,
+    "min_quality": 0.3300025343462711,
+    "max_quality": 0.7251953145829838
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..e6bdbb3c6947adcca23098d9698de3818f534931
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 293.54 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5103
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.921
+    • edge_utilization: 0.785
+    • density_variance: 0.924
+    • packing_efficiency: 0.772
+    • radius_distribution: 0.586
+    • gap_analysis: 0.780
+    • geometric_quality: 0.665
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5103
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.921
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.924
+  • Area utilization efficiency: 0.772
+  • Area coverage (1 - gap ratio): 0.780
+
+📊 Other Metrics:
+  • Radius size diversity: 0.586
+  • Delaunay triangulation quality: 0.665
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..ed9763cc75ad89a8b187804eb57a370099e1594e
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.510281242298015,
+    "public": {
+        "centers_str": "  centers[0] = (0.1042, 0.1020)\n  centers[1] = (0.1011, 0.2972)\n  centers[2] = (0.1013, 0.5037)\n  centers[3] = (0.0962, 0.6978)\n  centers[4] = (0.1034, 0.8971)\n  centers[5] = (0.2975, 0.1003)\n  centers[6] = (0.2998, 0.3007)\n  centers[7] = (0.2994, 0.4986)\n  centers[8] = (0.2968, 0.6971)\n  centers[9] = (0.3022, 0.9030)\n  centers[10] = (0.4958, 0.0992)\n  centers[11] = (0.4977, 0.2979)\n  centers[12] = (0.4979, 0.5046)\n  centers[13] = (0.5039, 0.7031)\n  centers[14] = (0.5031, 0.8972)\n  centers[15] = (0.7004, 0.1001)\n  centers[16] = (0.7006, 0.3046)\n  centers[17] = (0.7019, 0.5014)\n  centers[18] = (0.6988, 0.7001)\n  centers[19] = (0.6999, 0.8966)\n  centers[20] = (0.9002, 0.1008)\n  centers[21] = (0.9021, 0.2982)\n  centers[22] = (0.8978, 0.5023)\n  centers[23] = (0.9022, 0.6988)\n  centers[24] = (0.9025, 0.8961)\n  centers[25] = (0.6009, 0.2015)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9212520203134064,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9236861108702871,
+        "aux_packing_efficiency": 0.7723743015986827,
+        "aux_radius_distribution": 0.5863577256671294,
+        "aux_gap_analysis": 0.78,
+        "aux_geometric_quality": 0.6648581154307276
+    },
+    "private": {
+        "reported_sum_of_radii": 2.510281242298015
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5103\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.921\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.924\n  \u2022 Area utilization efficiency: 0.772\n  \u2022 Area coverage (1 - gap ratio): 0.780\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.586\n  \u2022 Delaunay triangulation quality: 0.665\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_61/results/packing_viz.png",
+    "execution_time_mean": 293.5397643968463,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..f9bd72c01c8391d5ba8d1be35fb5423fd65d900c
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..8527adb9783b9daa09c9f0ae0a068b2158d9a5de
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227802225521738,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979292003985259,
+    "cell_size_std": 0.016563043408265067,
+    "coefficient_of_variation": 0.08368165632576752
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9993837738415323,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 3.7462726888594076e-10,
+    "mean_density": 0.03139003812827047,
+    "cv": 0.0006166061272928355
+  },
+  "packing_efficiency": 0.7901486483196691,
+  "packing_efficiency_details": {
+    "total_area": 0.7901486483196691,
+    "square_area": 1.0,
+    "efficiency": 0.7901486483196691,
+    "relative_to_estimated_best": 0.940653152761511
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770846349458938,
+    "std": 0.011251643494650848,
+    "min": 0.04145044893658297,
+    "max": 0.1,
+    "range": 0.058549551063417034,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..6fb7a10c321d493a65c8c8308db1c29d0e1d7b2b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 189.56 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d8e6c974c86fc7ad8718aed96682b0727446baef
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540420050859324,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227802225521738,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9993837738415323,
+        "aux_packing_efficiency": 0.7901486483196691,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540420050859324
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_62/results/packing_viz.png",
+    "execution_time_mean": 189.56310682510957,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..289e58c3e2e7f11cd5592074e6beea7a6d0c2671
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..19b1d52b9243445dd348b0f34b47728f88436079
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227802225521738,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979292003985259,
+    "cell_size_std": 0.016563043408265067,
+    "coefficient_of_variation": 0.08368165632576752
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9993837735818721,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 3.7462758403166704e-10,
+    "mean_density": 0.031390038096288556,
+    "cv": 0.000616606387273178
+  },
+  "packing_efficiency": 0.7901486475138813,
+  "packing_efficiency_details": {
+    "total_area": 0.7901486475138813,
+    "square_area": 1.0,
+    "efficiency": 0.7901486475138813,
+    "relative_to_estimated_best": 0.9406531518022396
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770846344470083,
+    "std": 0.011251643489498966,
+    "min": 0.04145044891262457,
+    "max": 0.1,
+    "range": 0.05854955108737544,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..65a9df1605d86be13a2e4ca7a55a0e7b6159fbdc
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 602.48 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..835a87baff2e24282714e1e9178546a1e6a9dbea
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5404200495622216,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227802225521738,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9993837735818721,
+        "aux_packing_efficiency": 0.7901486475138813,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5404200495622216
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_65/results/packing_viz.png",
+    "execution_time_mean": 602.4759229901247,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..b61ce38c4c49245b5453de9486a76c427489806a
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..e60e652bd489d6fa3f969fc66fc621d8e214675c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227108019739776,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19746250736788312,
+    "cell_size_std": 0.016540089136607743,
+    "coefficient_of_variation": 0.08376318762138218
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9497545266843925,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 2.572448662845477e-06,
+    "mean_density": 0.03031710824872899,
+    "cv": 0.05290364183997653
+  },
+  "packing_efficiency": 0.7638308545020942,
+  "packing_efficiency_details": {
+    "total_area": 0.7638308545020942,
+    "square_area": 1.0,
+    "efficiency": 0.7638308545020942,
+    "relative_to_estimated_best": 0.9093224458358264
+  },
+  "radius_distribution": 0.4695342692080286,
+  "radius_distribution_details": {
+    "mean": 0.09609206299836534,
+    "std": 0.010847037005741354,
+    "min": 0.04334778493031041,
+    "max": 0.10420076545705304,
+    "range": 0.06085298052674262,
+    "small_count": 1,
+    "medium_count": 22,
+    "large_count": 3,
+    "diversity_score": 0.4695342692080286
+  },
+  "gap_analysis": 0.7724,
+  "gap_analysis_details": {
+    "covered_samples": 1931,
+    "total_samples": 2500,
+    "coverage": 0.7724,
+    "gap_ratio": 0.22760000000000002
+  },
+  "geometric_quality": 0.6524892965824169,
+  "geometric_quality_details": {
+    "num_triangles": 42,
+    "avg_triangle_quality": 0.6524892965824169,
+    "min_quality": 0.32383415023583634,
+    "max_quality": 0.7337455460546296
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..1df0747162c8641393f6c319460cc0ad9e117a79
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 201.62 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.4984
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.950
+    • packing_efficiency: 0.764
+    • radius_distribution: 0.470
+    • gap_analysis: 0.772
+    • geometric_quality: 0.652
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.4984
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.950
+  • Area utilization efficiency: 0.764
+  • Area coverage (1 - gap ratio): 0.772
+
+📊 Other Metrics:
+  • Radius size diversity: 0.470
+  • Delaunay triangulation quality: 0.652
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..a8fa9c73d4569a4822ce2ba951f4c5dde0548ae0
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.498393637957499,
+    "public": {
+        "centers_str": "  centers[0] = (0.0978, 0.1033)\n  centers[1] = (0.0993, 0.3026)\n  centers[2] = (0.0980, 0.4995)\n  centers[3] = (0.1044, 0.7011)\n  centers[4] = (0.1037, 0.9002)\n  centers[5] = (0.3031, 0.1031)\n  centers[6] = (0.3026, 0.3023)\n  centers[7] = (0.3038, 0.4999)\n  centers[8] = (0.2970, 0.6952)\n  centers[9] = (0.3036, 0.8960)\n  centers[10] = (0.5022, 0.1040)\n  centers[11] = (0.5033, 0.2953)\n  centers[12] = (0.5030, 0.5016)\n  centers[13] = (0.4980, 0.7032)\n  centers[14] = (0.5040, 0.9026)\n  centers[15] = (0.7026, 0.0996)\n  centers[16] = (0.7043, 0.2992)\n  centers[17] = (0.7033, 0.5005)\n  centers[18] = (0.6996, 0.7024)\n  centers[19] = (0.6958, 0.9047)\n  centers[20] = (0.9030, 0.1004)\n  centers[21] = (0.9046, 0.3020)\n  centers[22] = (0.8976, 0.4950)\n  centers[23] = (0.9001, 0.6959)\n  centers[24] = (0.9015, 0.9009)\n  centers[25] = (0.7951, 0.8071)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227108019739776,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9497545266843925,
+        "aux_packing_efficiency": 0.7638308545020942,
+        "aux_radius_distribution": 0.4695342692080286,
+        "aux_gap_analysis": 0.7724,
+        "aux_geometric_quality": 0.6524892965824169
+    },
+    "private": {
+        "reported_sum_of_radii": 2.498393637957499
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.4984\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.950\n  \u2022 Area utilization efficiency: 0.764\n  \u2022 Area coverage (1 - gap ratio): 0.772\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.470\n  \u2022 Delaunay triangulation quality: 0.652\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_66/results/packing_viz.png",
+    "execution_time_mean": 201.61841282481328,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..34ff7927cfb59b070d405bcfc358bbd7f7a9e662
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..3cd3014b0ab2e3c205f47d7785fbda3a9559e554
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227802225521738,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979292003985259,
+    "cell_size_std": 0.016563043408265067,
+    "coefficient_of_variation": 0.08368165632576752
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.999383597070849,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 3.7484185228380575e-10,
+    "mean_density": 0.03139001672180602,
+    "cv": 0.0006167831160702815
+  },
+  "packing_efficiency": 0.7901481089814681,
+  "packing_efficiency_details": {
+    "total_area": 0.7901481089814681,
+    "square_area": 1.0,
+    "efficiency": 0.7901481089814681,
+    "relative_to_estimated_best": 0.940652510692224
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770843010258407,
+    "std": 0.011251640046828338,
+    "min": 0.04145043289996535,
+    "max": 0.1,
+    "range": 0.05854956710003466,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..7231de7f0af9491245a39650bb3859e2bfa8923a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 181.81 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..064194e78e366e9e71fc1ad84dd0434a021158ad
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540419182667186,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227802225521738,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.999383597070849,
+        "aux_packing_efficiency": 0.7901481089814681,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540419182667186
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_67/results/packing_viz.png",
+    "execution_time_mean": 181.8056815448217,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a176fe3024037247ce907f99f3a3954a6bc141e6
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..56a664ec73b1073b4aab13b83ab6021c88122a32
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227707087142627,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19792856810048423,
+    "cell_size_std": 0.016565201921210707,
+    "coefficient_of_variation": 0.08369282916808689
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992829462188848,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.073688689472209e-10,
+    "mean_density": 0.03139052938355784,
+    "cv": 0.000717568316189519
+  },
+  "packing_efficiency": 0.7901625284259497,
+  "packing_efficiency_details": {
+    "total_area": 0.7901625284259497,
+    "square_area": 1.0,
+    "efficiency": 0.7901625284259497,
+    "relative_to_estimated_best": 0.9406696766975592
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770945004762402,
+    "std": 0.011250627582705333,
+    "min": 0.041456587012554356,
+    "max": 0.10000174196079331,
+    "range": 0.058545154948238955,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070922679162523,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070922679162523,
+    "min_quality": 0.7068600125323983,
+    "max_quality": 0.7071181478047505
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..e0f8749e65c2d3f57595f767dd35690a9caf159d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 289.89 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..cd5001d966a3a44e5098b777a099f33930999dde
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5404457012382244,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227707087142627,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992829462188848,
+        "aux_packing_efficiency": 0.7901625284259497,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070922679162523
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5404457012382244
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_68/results/packing_viz.png",
+    "execution_time_mean": 289.8856894732453,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..164174ff4e497570919b1457177a10b6c348f546
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e08122e3db256b4c6f23cd3e0df60181705c32d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625012101759,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367081147457799e-10,
+    "mean_density": 0.03138971301778572,
+    "cv": 0.0007380430957139702
+  },
+  "packing_efficiency": 0.7901488308573078,
+  "packing_efficiency_details": {
+    "total_area": 0.7901488308573078,
+    "square_area": 1.0,
+    "efficiency": 0.7901488308573078,
+    "relative_to_estimated_best": 0.9406533700682236
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919056441288,
+    "std": 0.01124542723967504,
+    "min": 0.0414823452520988,
+    "max": 0.10001038684395715,
+    "range": 0.05852804159185835,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..845759ac49d144befcb46e7d3e071a45ad772d72
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 203.14 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..129646740b112852e328eb4df621bff58ae335e7
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438954674735,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625012101759,
+        "aux_packing_efficiency": 0.7901488308573078,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438954674735
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_69/results/packing_viz.png",
+    "execution_time_mean": 203.14180468395352,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..09b24d5f3554aab46b08bf51aa24afab307e9040
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..2266dee46d819a9f6a7c635262660d6d3db6ac0c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9184227056457034,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19397350103467387,
+    "cell_size_std": 0.01722935787099393,
+    "coefficient_of_variation": 0.0888232551882993
+  },
+  "edge_utilization": 0.5269230769230768,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 5,
+    "corner_score": 0.75,
+    "edge_score": 0.19230769230769232
+  },
+  "density_variance": 0.5271105903575637,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.0001828591638898465,
+    "mean_density": 0.015073027440235453,
+    "cv": 0.8971350951640971
+  },
+  "packing_efficiency": 0.4604423522939582,
+  "packing_efficiency_details": {
+    "total_area": 0.4604423522939582,
+    "square_area": 1.0,
+    "efficiency": 0.4604423522939582,
+    "relative_to_estimated_best": 0.5481456574928074
+  },
+  "radius_distribution": 0.8175195284559525,
+  "radius_distribution_details": {
+    "mean": 0.07061938466229241,
+    "std": 0.025494205986387554,
+    "min": 0.017632526353224015,
+    "max": 0.1009480777270711,
+    "range": 0.08331555137384708,
+    "small_count": 10,
+    "medium_count": 2,
+    "large_count": 14,
+    "diversity_score": 0.8175195284559525
+  },
+  "gap_analysis": 0.4576,
+  "gap_analysis_details": {
+    "covered_samples": 1144,
+    "total_samples": 2500,
+    "coverage": 0.4576,
+    "gap_ratio": 0.5424
+  },
+  "geometric_quality": 0.7060539262858017,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7060539262858017,
+    "min_quality": 0.6889758380792004,
+    "max_quality": 0.7073391909812164
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..60057fa7eba547545a0fde420cea43d31ad104d1
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/job_log.out
@@ -0,0 +1,74 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 0.01 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.8361
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.918
+    • edge_utilization: 0.527
+    • density_variance: 0.527
+    • packing_efficiency: 0.460
+    • radius_distribution: 0.818
+    • gap_analysis: 0.458
+    • geometric_quality: 0.706
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.8361
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.918
+  • Delaunay triangulation quality: 0.706
+
+⚠️  Areas for Improvement:
+  • Area utilization efficiency: 0.460
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.458
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.527
+  • Spatial density uniformity across grid: 0.527
+  • Radius size diversity: 0.818
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 54.2% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..d6d9e605753f75118e1f2ada0b6a17e4f49e4740
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.8361040012196026,
+    "public": {
+        "centers_str": "  centers[0] = (0.1100, 0.1100)\n  centers[1] = (0.1100, 0.3050)\n  centers[2] = (0.1100, 0.5000)\n  centers[3] = (0.1100, 0.6950)\n  centers[4] = (0.1100, 0.8900)\n  centers[5] = (0.3050, 0.1100)\n  centers[6] = (0.3050, 0.3050)\n  centers[7] = (0.3050, 0.5000)\n  centers[8] = (0.3050, 0.6950)\n  centers[9] = (0.3050, 0.8900)\n  centers[10] = (0.5000, 0.1100)\n  centers[11] = (0.5000, 0.3050)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.6950)\n  centers[14] = (0.5000, 0.8900)\n  centers[15] = (0.6950, 0.1100)\n  centers[16] = (0.6950, 0.3050)\n  centers[17] = (0.6950, 0.5000)\n  centers[18] = (0.6950, 0.6950)\n  centers[19] = (0.6950, 0.8900)\n  centers[20] = (0.8900, 0.1100)\n  centers[21] = (0.8900, 0.3050)\n  centers[22] = (0.8900, 0.5000)\n  centers[23] = (0.8900, 0.6950)\n  centers[24] = (0.8900, 0.8900)\n  centers[25] = (0.4000, 0.4000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9184227056457034,
+        "aux_edge_utilization": 0.5269230769230768,
+        "aux_density_variance": 0.5271105903575637,
+        "aux_packing_efficiency": 0.4604423522939582,
+        "aux_radius_distribution": 0.8175195284559525,
+        "aux_gap_analysis": 0.4576,
+        "aux_geometric_quality": 0.7060539262858017
+    },
+    "private": {
+        "reported_sum_of_radii": 1.8361040012196026
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.8361\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.918\n  \u2022 Delaunay triangulation quality: 0.706\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Area utilization efficiency: 0.460\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.458\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.527\n  \u2022 Spatial density uniformity across grid: 0.527\n  \u2022 Radius size diversity: 0.818\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 54.2% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_7/results/packing_viz.png",
+    "execution_time_mean": 0.005113667342811823,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..3439ed5d212e90eb9d8597c4bd797d9d224780eb
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e08122e3db256b4c6f23cd3e0df60181705c32d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625012101759,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367081147457799e-10,
+    "mean_density": 0.03138971301778572,
+    "cv": 0.0007380430957139702
+  },
+  "packing_efficiency": 0.7901488308573078,
+  "packing_efficiency_details": {
+    "total_area": 0.7901488308573078,
+    "square_area": 1.0,
+    "efficiency": 0.7901488308573078,
+    "relative_to_estimated_best": 0.9406533700682236
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919056441288,
+    "std": 0.01124542723967504,
+    "min": 0.0414823452520988,
+    "max": 0.10001038684395715,
+    "range": 0.05852804159185835,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..fe4311911e7e04cfbbd316f04f81e55bca2fa1ae
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 240.32 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5903b76ad4b260da3d2aa87dd6f857ca4d35bf4c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438954674735,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625012101759,
+        "aux_packing_efficiency": 0.7901488308573078,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438954674735
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_70/results/packing_viz.png",
+    "execution_time_mean": 240.32049848185852,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..7480695946a1ebf27486d1d3d07b807ae70cbf11
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..19b1d52b9243445dd348b0f34b47728f88436079
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9227802225521738,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979292003985259,
+    "cell_size_std": 0.016563043408265067,
+    "coefficient_of_variation": 0.08368165632576752
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9993837735818721,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 3.7462758403166704e-10,
+    "mean_density": 0.031390038096288556,
+    "cv": 0.000616606387273178
+  },
+  "packing_efficiency": 0.7901486475138813,
+  "packing_efficiency_details": {
+    "total_area": 0.7901486475138813,
+    "square_area": 1.0,
+    "efficiency": 0.7901486475138813,
+    "relative_to_estimated_best": 0.9406531518022396
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770846344470083,
+    "std": 0.011251643489498966,
+    "min": 0.04145044891262457,
+    "max": 0.1,
+    "range": 0.05854955108737544,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..fe772405a264cbd22678035dd9b44bd1c3742632
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1028.36 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..cd020a0fc00e1d21af790066e833443fc661c43c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5404200495622216,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9227802225521738,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9993837735818721,
+        "aux_packing_efficiency": 0.7901486475138813,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5404200495622216
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_74/results/packing_viz.png",
+    "execution_time_mean": 1028.3597475849092,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..c2eb4e5a59e555b85b9270571acace61b87e03ae
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..98ffc5dcb40f1967b058222e99bbd0eff4bee129
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9170639193238438,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19875709193119417,
+    "cell_size_std": 0.01797490223631702,
+    "coefficient_of_variation": 0.09043653220737928
+  },
+  "edge_utilization": 0.5576923076923077,
+  "edge_utilization_details": {
+    "corners_touched": 3,
+    "edges_touched": 7,
+    "corner_score": 0.75,
+    "edge_score": 0.2692307692307692
+  },
+  "density_variance": 0.5184340812934846,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00023976702347489192,
+    "mean_density": 0.01666988102417803,
+    "cv": 0.9288855345023158
+  },
+  "packing_efficiency": 0.43362828647941354,
+  "packing_efficiency_details": {
+    "total_area": 0.43362828647941354,
+    "square_area": 1.0,
+    "efficiency": 0.43362828647941354,
+    "relative_to_estimated_best": 0.5162241505707305
+  },
+  "radius_distribution": 0.8263230785683501,
+  "radius_distribution_details": {
+    "mean": 0.05478729874593936,
+    "std": 0.04803256900452558,
+    "min": 0.0,
+    "max": 0.10005992659443967,
+    "range": 0.10005992659443967,
+    "small_count": 11,
+    "medium_count": 2,
+    "large_count": 13,
+    "diversity_score": 0.8263230785683501
+  },
+  "gap_analysis": 0.4412,
+  "gap_analysis_details": {
+    "covered_samples": 1103,
+    "total_samples": 2500,
+    "coverage": 0.4412,
+    "gap_ratio": 0.5588
+  },
+  "geometric_quality": 0.7007095066524858,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7007095066524858,
+    "min_quality": 0.5674126181528579,
+    "max_quality": 0.8764636365499722
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a55bcd42154d68fa3ad9d50733e89892ab0bfccb
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/job_log.out
@@ -0,0 +1,74 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 240.84 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.4245
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.917
+    • edge_utilization: 0.558
+    • density_variance: 0.518
+    • packing_efficiency: 0.434
+    • radius_distribution: 0.826
+    • gap_analysis: 0.441
+    • geometric_quality: 0.701
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.4245
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.917
+  • Delaunay triangulation quality: 0.701
+
+⚠️  Areas for Improvement:
+  • Area utilization efficiency: 0.434
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.441
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.558
+  • Spatial density uniformity across grid: 0.518
+  • Radius size diversity: 0.826
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 55.9% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..6612b9b4230258e247edce9cecaa81cd9f78e266
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.4244697673944233,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4944, 0.4957)\n  centers[13] = (0.5004, 0.7114)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7002, 0.5001)\n  centers[18] = (0.7009, 0.7012)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.5553, 0.6019)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9170639193238438,
+        "aux_edge_utilization": 0.5576923076923077,
+        "aux_density_variance": 0.5184340812934846,
+        "aux_packing_efficiency": 0.43362828647941354,
+        "aux_radius_distribution": 0.8263230785683501,
+        "aux_gap_analysis": 0.4412,
+        "aux_geometric_quality": 0.7007095066524858
+    },
+    "private": {
+        "reported_sum_of_radii": 1.4244697673944233
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.4245\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.917\n  \u2022 Delaunay triangulation quality: 0.701\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Area utilization efficiency: 0.434\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.441\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.558\n  \u2022 Spatial density uniformity across grid: 0.518\n  \u2022 Radius size diversity: 0.826\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 55.9% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_76/results/packing_viz.png",
+    "execution_time_mean": 240.83616490801796,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..661122948e2f7e57618e997f67bff200ebc58ee1
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..fe8db77ce19a79e593381b82841636e485647a0a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190785107253626,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989874846831965,
+    "cell_size_std": 0.01752011770549546,
+    "coefficient_of_variation": 0.08804632937263625
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990428410733667,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 9.045187121043536e-10,
+    "mean_density": 0.03139126535573176,
+    "cv": 0.0009580759575884793
+  },
+  "packing_efficiency": 0.7901969051077815,
+  "packing_efficiency_details": {
+    "total_area": 0.7901969051077815,
+    "square_area": 1.0,
+    "efficiency": 0.7901969051077815,
+    "relative_to_estimated_best": 0.9407106013187876
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771292935834294,
+    "std": 0.011239108007892977,
+    "min": 0.04151788005110382,
+    "max": 0.10000480671913185,
+    "range": 0.05848692666802803,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.707074480284407,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.707074480284407,
+    "min_quality": 0.706526567663328,
+    "max_quality": 0.7073467969979959
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..3d876e8c71ecf4b30502a0221adf35b8fc544099
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 426.60 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..492ec93e9b7df58d259baf3b9a433902cd280420
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405361633169163,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190785107253626,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990428410733667,
+        "aux_packing_efficiency": 0.7901969051077815,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.707074480284407
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405361633169163
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_77/results/packing_viz.png",
+    "execution_time_mean": 426.59581813495606,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..2c83318eb79d48624489229ebb0e2c2a7df5a446
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..cb01c9fb30807976187ba6373106c5dedc445060
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.922774776539063,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1979266108863569,
+    "cell_size_std": 0.016564092582934842,
+    "coefficient_of_variation": 0.08368805197577682
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992567748067788,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.45098555101495e-10,
+    "mean_density": 0.031390207055377733,
+    "cv": 0.0007437779877600172
+  },
+  "packing_efficiency": 0.7901527811002945,
+  "packing_efficiency_details": {
+    "total_area": 0.7901527811002945,
+    "square_area": 1.0,
+    "efficiency": 0.7901527811002945,
+    "relative_to_estimated_best": 0.9406580727384459
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770870668634814,
+    "std": 0.011251780029350822,
+    "min": 0.04145010184267046,
+    "max": 0.1,
+    "range": 0.05854989815732955,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909543776900188,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909543776900188,
+    "min_quality": 0.33334942492585046,
+    "max_quality": 0.7072531224876156
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..809dc3b36d71d15f9ba037f9c07efc700740e2bf
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1634.61 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.923
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.923
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..b79a3a0e77d2d85bf9f3c6745ba533f931459e0a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5404263738450514,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5001)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.8000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.922774776539063,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992567748067788,
+        "aux_packing_efficiency": 0.7901527811002945,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909543776900188
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5404263738450514
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.923\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_78/results/packing_viz.png",
+    "execution_time_mean": 1634.6080508548766,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..6d26b77f27fbe78de8b5f666180b62633636b513
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e08122e3db256b4c6f23cd3e0df60181705c32d
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190824409539164,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899128645589284,
+    "cell_size_std": 0.017519526578765064,
+    "coefficient_of_variation": 0.08804167661183826
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992625012101759,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.367081147457799e-10,
+    "mean_density": 0.03138971301778572,
+    "cv": 0.0007380430957139702
+  },
+  "packing_efficiency": 0.7901488308573078,
+  "packing_efficiency_details": {
+    "total_area": 0.7901488308573078,
+    "square_area": 1.0,
+    "efficiency": 0.7901488308573078,
+    "relative_to_estimated_best": 0.9406533700682236
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770919056441288,
+    "std": 0.01124542723967504,
+    "min": 0.0414823452520988,
+    "max": 0.10001038684395715,
+    "range": 0.05852804159185835,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7071067811865474,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071067811865474,
+    "min_quality": 0.7071067811865472,
+    "max_quality": 0.7071067811865476
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..56da3105db71a11de2d3fce642cc7de18c4f0f90
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 242.08 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5404
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5404
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..b0a876e8751cabf68d1a846b064d81f0ec1b4b5b
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540438954674735,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190824409539164,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992625012101759,
+        "aux_packing_efficiency": 0.7901488308573078,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7071067811865474
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540438954674735
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5404\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_79/results/packing_viz.png",
+    "execution_time_mean": 242.0830726600252,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..3a479a97e251898ef067445d9af0dc00c2b9a838
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..169b0ad4365ef2142f6ae7ca5523dbc960721816
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.919081655355398,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19899043812488137,
+    "cell_size_std": 0.017519636955283805,
+    "coefficient_of_variation": 0.0880426066314117
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9992594852311644,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 5.411268985266582e-10,
+    "mean_density": 0.03139020141097612,
+    "cv": 0.0007410635373297419
+  },
+  "packing_efficiency": 0.7901616659177513,
+  "packing_efficiency_details": {
+    "total_area": 0.7901616659177513,
+    "square_area": 1.0,
+    "efficiency": 0.7901616659177513,
+    "relative_to_estimated_best": 0.9406686499020849
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.0977100304848961,
+    "std": 0.011245115954752435,
+    "min": 0.04148474399971701,
+    "max": 0.10000887001220701,
+    "range": 0.058524126012490005,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6955941624596302,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6955941624596302,
+    "min_quality": 0.4999838117321575,
+    "max_quality": 0.707154776001256
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..56ccb7d3d9b8af1ff1e2a1b29edec4e8c8ec18aa
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1391.06 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.696
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.696
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..695058d61763d1843d2028218780bb6447bf05ca
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5404607926072984,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.919081655355398,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9992594852311644,
+        "aux_packing_efficiency": 0.7901616659177513,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6955941624596302
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5404607926072984
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.696\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_80/results/packing_viz.png",
+    "execution_time_mean": 1391.0634395359084,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..6d85b6c02ec8f6dd8f70f37ef0609549982e62ef
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..42949e5195470169e0206354b76ff4bd023803cf
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190567728479466,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989869998406502,
+    "cell_size_std": 0.01752519592390331,
+    "coefficient_of_variation": 0.088072064254778
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988426070069428,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3230643035913704e-09,
+    "mean_density": 0.03139111001881126,
+    "cv": 0.0011587341037896473
+  },
+  "packing_efficiency": 0.7901939179565391,
+  "packing_efficiency_details": {
+    "total_area": 0.7901939179565391,
+    "square_area": 1.0,
+    "efficiency": 0.7901939179565391,
+    "relative_to_estimated_best": 0.9407070451863562
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771281857306859,
+    "std": 0.011238444213845624,
+    "min": 0.04152131568366993,
+    "max": 0.10000720782538525,
+    "range": 0.05848589214171532,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6909198125505163,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6909198125505163,
+    "min_quality": 0.333320110372933,
+    "max_quality": 0.7073841303616472
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..e4ffc1631d22b0a487249f8c135dea24cab44f59
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 510.37 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.691
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.691
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..2092a60a8527f4bb2f657d7540a872c649b14be6
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540533282899783,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3002, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.3999, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190567728479466,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988426070069428,
+        "aux_packing_efficiency": 0.7901939179565391,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6909198125505163
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540533282899783
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.691\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_82/results/packing_viz.png",
+    "execution_time_mean": 510.3664074232802,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..6d7a9455a3863a88ea4a54f4c1663451f878820d
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..52b93a81c05d98b52f2bd69fc2d82466c6c656b3
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9166071724925675,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19840688289774822,
+    "cell_size_std": 0.01805103815648603,
+    "coefficient_of_variation": 0.09097989848874845
+  },
+  "edge_utilization": 0.6461538461538461,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 3,
+    "corner_score": 1.0,
+    "edge_score": 0.11538461538461539
+  },
+  "density_variance": 0.44407572987880384,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 0.00041519193484688835,
+    "mean_density": 0.01627668022740549,
+    "cv": 1.2518681673346972
+  },
+  "packing_efficiency": 0.4680680538840827,
+  "packing_efficiency_details": {
+    "total_area": 0.4680680538840827,
+    "square_area": 1.0,
+    "efficiency": 0.4680680538840827,
+    "relative_to_estimated_best": 0.557223873671527
+  },
+  "radius_distribution": 0.9543725752531863,
+  "radius_distribution_details": {
+    "mean": 0.057162600286651,
+    "std": 0.04962709181729327,
+    "min": 0.0,
+    "max": 0.14240497249680045,
+    "range": 0.14240497249680045,
+    "small_count": 11,
+    "medium_count": 5,
+    "large_count": 10,
+    "diversity_score": 0.9543725752531863
+  },
+  "gap_analysis": 0.4632,
+  "gap_analysis_details": {
+    "covered_samples": 1158,
+    "total_samples": 2500,
+    "coverage": 0.4632,
+    "gap_ratio": 0.5367999999999999
+  },
+  "geometric_quality": 0.6884687786538453,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6884687786538453,
+    "min_quality": 0.32279769180776907,
+    "max_quality": 0.7496633697354831
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..8f3406d337eaae9700e2b1094643b90546bf3042
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/job_log.out
@@ -0,0 +1,75 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1675.89 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 1.4862
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.917
+    • edge_utilization: 0.646
+    • density_variance: 0.444
+    • packing_efficiency: 0.468
+    • radius_distribution: 0.954
+    • gap_analysis: 0.463
+    • geometric_quality: 0.688
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 1.4862
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.917
+
+⚠️  Areas for Improvement:
+  • Spatial density uniformity across grid: 0.444
+    → Balance circle density across different regions
+  • Area utilization efficiency: 0.468
+    → Consider optimizing this aspect
+  • Area coverage (1 - gap ratio): 0.463
+    → Identify and fill empty regions with additional circles or larger radii
+
+📊 Other Metrics:
+  • Boundary and corner utilization: 0.646
+  • Radius size diversity: 0.954
+  • Delaunay triangulation quality: 0.688
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Detected 53.7% unused space. Consider increasing radii in sparse regions.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..fec3d3f9e318d8d09ee969150bbf19864963e353
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 1.4862276074529261,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1123, 0.2950)\n  centers[2] = (0.1057, 0.5064)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3147, 0.3101)\n  centers[7] = (0.3049, 0.5239)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.2051, 0.4030)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9166071724925675,
+        "aux_edge_utilization": 0.6461538461538461,
+        "aux_density_variance": 0.44407572987880384,
+        "aux_packing_efficiency": 0.4680680538840827,
+        "aux_radius_distribution": 0.9543725752531863,
+        "aux_gap_analysis": 0.4632,
+        "aux_geometric_quality": 0.6884687786538453
+    },
+    "private": {
+        "reported_sum_of_radii": 1.4862276074529261
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 1.4862\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.917\n\n\u26a0\ufe0f  Areas for Improvement:\n  \u2022 Spatial density uniformity across grid: 0.444\n    \u2192 Balance circle density across different regions\n  \u2022 Area utilization efficiency: 0.468\n    \u2192 Consider optimizing this aspect\n  \u2022 Area coverage (1 - gap ratio): 0.463\n    \u2192 Identify and fill empty regions with additional circles or larger radii\n\n\ud83d\udcca Other Metrics:\n  \u2022 Boundary and corner utilization: 0.646\n  \u2022 Radius size diversity: 0.954\n  \u2022 Delaunay triangulation quality: 0.688\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Detected 53.7% unused space. Consider increasing radii in sparse regions.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_84/results/packing_viz.png",
+    "execution_time_mean": 1675.8874349510297,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a1d12e4a8ef448f8d0bb44efdd4f403c9c96273a
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..9f7247db4ec1e42006dcf7c3747eb4924c9885ac
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190599914288436,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898716569647726,
+    "cell_size_std": 0.017524452297094654,
+    "coefficient_of_variation": 0.08806825378756898
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990107819693733,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 9.661883165087758e-10,
+    "mean_density": 0.031391280286020055,
+    "cv": 0.0009901975518988413
+  },
+  "packing_efficiency": 0.790189362119595,
+  "packing_efficiency_details": {
+    "total_area": 0.790189362119595,
+    "square_area": 1.0,
+    "efficiency": 0.790189362119595,
+    "relative_to_estimated_best": 0.9407016215709465
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771178387279328,
+    "std": 0.011244957027383819,
+    "min": 0.04148752276007312,
+    "max": 0.10000267681660621,
+    "range": 0.05851515405653309,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6955625689383012,
+  "geometric_quality_details": {
+    "num_triangles": 36,
+    "avg_triangle_quality": 0.6955625689383012,
+    "min_quality": 0.4999404842898302,
+    "max_quality": 0.7073705681758364
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..f747b1d2a6132d431a03c1d561254fa087669917
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 405.55 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.696
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.696
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..9f95cafe760f20a0ddd3ace011df3d936c1a5b01
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540506380692625,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190599914288436,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990107819693733,
+        "aux_packing_efficiency": 0.790189362119595,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6955625689383012
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540506380692625
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.696\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_86/results/packing_viz.png",
+    "execution_time_mean": 405.54569673584774,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/__pycache__/main.cpython-311.pyc
new file mode 100644
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Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..70fe9268479814ba29446e427aa604d41385d859
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190520216766609,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898274401147126,
+    "cell_size_std": 0.017525940371168575,
+    "coefficient_of_variation": 0.08807768919942387
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.999019934999298,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 9.484526018479541e-10,
+    "mean_density": 0.03139258482805324,
+    "cv": 0.0009810264704104188
+  },
+  "packing_efficiency": 0.790221435630714,
+  "packing_efficiency_details": {
+    "total_area": 0.790221435630714,
+    "square_area": 1.0,
+    "efficiency": 0.790221435630714,
+    "relative_to_estimated_best": 0.9407398043222787
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771370155981174,
+    "std": 0.011245752959169512,
+    "min": 0.041485451001390394,
+    "max": 0.10000300803189904,
+    "range": 0.05851755703050865,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7011708322351144,
+  "geometric_quality_details": {
+    "num_triangles": 35,
+    "avg_triangle_quality": 0.7011708322351144,
+    "min_quality": 0.4999693705753192,
+    "max_quality": 0.7073317395144625
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..1501ff9c2163b6908c3a6e538a00f485acf26b60
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 488.17 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.701
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.701
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..107fa4612ec9c4547871f7a1b2559e02fc69f896
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.540556240555105,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3001, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3001)\n  centers[12] = (0.4999, 0.5001)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190520216766609,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.999019934999298,
+        "aux_packing_efficiency": 0.790221435630714,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7011708322351144
+    },
+    "private": {
+        "reported_sum_of_radii": 2.540556240555105
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.701\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_87/results/packing_viz.png",
+    "execution_time_mean": 488.1714041288942,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..f446d957cde9e09f67d52f77d35b17e96dc3d158
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..26c2925801c5f37920918861cd9ec00a8243b219
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190655768350677,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898487729173003,
+    "cell_size_std": 0.017522934977658892,
+    "coefficient_of_variation": 0.08806164130707794
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9989698500463001,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.0479187307098897e-09,
+    "mean_density": 0.031391764042861564,
+    "cv": 0.0010312122569586292
+  },
+  "packing_efficiency": 0.7902020463940407,
+  "packing_efficiency_details": {
+    "total_area": 0.7902020463940407,
+    "square_area": 1.0,
+    "efficiency": 0.7902020463940407,
+    "relative_to_estimated_best": 0.9407167218976675
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771261057641997,
+    "std": 0.01124467830156706,
+    "min": 0.04148978741923856,
+    "max": 0.1000008395050813,
+    "range": 0.058511052085842744,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070814152751732,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070814152751732,
+    "min_quality": 0.7067190587038541,
+    "max_quality": 0.707408447732237
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..b7179de842bc3fe326182f84e6e74260e935a434
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1414.35 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..5fc4404ef6edf344d43173210bd53aa9c6adf650
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405278749869193,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.4998, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.3999, 0.8000)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190655768350677,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9989698500463001,
+        "aux_packing_efficiency": 0.7902020463940407,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070814152751732
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405278749869193
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_89/results/packing_viz.png",
+    "execution_time_mean": 1414.3461872320622,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..71db9f0f725a6080dc5676068806e46648e05b6e
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..719581a3b48699bfb5d29263bcaa49d76372081f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9171146207418742,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1984991504690906,
+    "cell_size_std": 0.017939608724831784,
+    "coefficient_of_variation": 0.09037624892630969
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9750517621168545,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 6.383873847699034e-07,
+    "mean_density": 0.031226975988525817,
+    "cv": 0.025586577915599557
+  },
+  "packing_efficiency": 0.7861180220088334,
+  "packing_efficiency_details": {
+    "total_area": 0.7861180220088334,
+    "square_area": 1.0,
+    "efficiency": 0.7861180220088334,
+    "relative_to_estimated_best": 0.9358547881057541
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09745691865321038,
+    "std": 0.011240401520371531,
+    "min": 0.04162641941565456,
+    "max": 0.1002722699608482,
+    "range": 0.05864585054519365,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.7992,
+  "gap_analysis_details": {
+    "covered_samples": 1998,
+    "total_samples": 2500,
+    "coverage": 0.7992,
+    "gap_ratio": 0.20079999999999998
+  },
+  "geometric_quality": 0.7071228471685944,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7071228471685944,
+    "min_quality": 0.663340495926257,
+    "max_quality": 0.7253059279739352
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..70955fdb43acdbdd35189df571bb18e9d061861a
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 4228.07 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5339
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.917
+    • edge_utilization: 0.785
+    • density_variance: 0.975
+    • packing_efficiency: 0.786
+    • radius_distribution: 0.148
+    • gap_analysis: 0.799
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5339
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.917
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.975
+  • Area utilization efficiency: 0.786
+  • Area coverage (1 - gap ratio): 0.799
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..4448dd43bb0e481b5c1b5de5b5f1e80803d3627f
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.53387988498347,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5100, 0.3002)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7070, 0.2967)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7974, 0.3969)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9171146207418742,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9750517621168545,
+        "aux_packing_efficiency": 0.7861180220088334,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.7992,
+        "aux_geometric_quality": 0.7071228471685944
+    },
+    "private": {
+        "reported_sum_of_radii": 2.53387988498347
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5339\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.917\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.975\n  \u2022 Area utilization efficiency: 0.786\n  \u2022 Area coverage (1 - gap ratio): 0.799\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_93/results/packing_viz.png",
+    "execution_time_mean": 4228.074128933717,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..c7d233e953d00d0a78d43ea9eae1a3d382ec1588
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..55172e4474732b2d8ca69284e93cd2247cd8a913
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9189756568036028,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19897936616297374,
+    "cell_size_std": 0.017543633952275862,
+    "coefficient_of_variation": 0.08816810608261094
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9978637595849758,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 4.515527373269935e-09,
+    "mean_density": 0.03138884597138664,
+    "cv": 0.002140813707787824
+  },
+  "packing_efficiency": 0.7900903112635953,
+  "packing_efficiency_details": {
+    "total_area": 0.7900903112635953,
+    "square_area": 1.0,
+    "efficiency": 0.7900903112635953,
+    "relative_to_estimated_best": 0.9405837038852325
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09770236841937725,
+    "std": 0.011272813432157382,
+    "min": 0.041340746708486704,
+    "max": 0.10013715411420869,
+    "range": 0.058796407405721986,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6851688037303584,
+  "geometric_quality_details": {
+    "num_triangles": 38,
+    "avg_triangle_quality": 0.6851688037303584,
+    "min_quality": 0.4999469243364936,
+    "max_quality": 0.7074665008933747
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..a73fc6deeea19fbdd1ac2560d5d97b536b8523b7
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1366.16 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5403
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.998
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.685
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5403
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.998
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.685
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..6b140be9cb46e48bd044d9c41c33878c96ddb9dc
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5402615789038085,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3001, 0.3000)\n  centers[7] = (0.3001, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9001)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.6999, 0.5001)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.7997, 0.6004)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9189756568036028,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9978637595849758,
+        "aux_packing_efficiency": 0.7900903112635953,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6851688037303584
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5402615789038085
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5403\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.998\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.685\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_94/results/packing_viz.png",
+    "execution_time_mean": 1366.1589285926893,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..20c4407fc7ffca5e30db5079d3c86550622b82e0
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..0406091cda351e9490655d4e8dec830748f73e60
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.919067253627887,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.19898336755667548,
+    "cell_size_std": 0.017522407023095193,
+    "coefficient_of_variation": 0.08805965619234338
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9987669369553821,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.502281338002347e-09,
+    "mean_density": 0.03139456699028791,
+    "cv": 0.0012345853662083118
+  },
+  "packing_efficiency": 0.7902802750761634,
+  "packing_efficiency_details": {
+    "total_area": 0.7902802750761634,
+    "square_area": 1.0,
+    "efficiency": 0.7902802750761634,
+    "relative_to_estimated_best": 0.9408098512811469
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771809876273144,
+    "std": 0.01123957113524845,
+    "min": 0.04152105822459089,
+    "max": 0.10003096672182865,
+    "range": 0.058509908497237764,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.6719513632959943,
+  "geometric_quality_details": {
+    "num_triangles": 39,
+    "avg_triangle_quality": 0.6719513632959943,
+    "min_quality": 0.33333633427684434,
+    "max_quality": 0.7074709418255171
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..afac7300f728b8509bd697ddba0d0eca420da6b7
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 1628.52 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5407
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.672
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5407
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+  • Delaunay triangulation quality: 0.672
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..0d057687e7638d52fe4d4c9e64ce55ebf61aa454
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5406705678310173,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4999, 0.3001)\n  centers[12] = (0.4999, 0.5001)\n  centers[13] = (0.5001, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7001, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.919067253627887,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9987669369553821,
+        "aux_packing_efficiency": 0.7902802750761634,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.6719513632959943
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5406705678310173
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5407\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n  \u2022 Delaunay triangulation quality: 0.672\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_95/results/packing_viz.png",
+    "execution_time_mean": 1628.5176302376203,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..c8355f94f4697356211ec28422b8c678a9a3128b
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..a579e8784c1db9ff085d67725b3b6ea46eaedd29
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190679977957492,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989902797506867,
+    "cell_size_std": 0.01752284039805956,
+    "coefficient_of_variation": 0.08805877519221043
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9990738864356634,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 8.467412690769876e-10,
+    "mean_density": 0.03139125741673101,
+    "cv": 0.0009269720457219006
+  },
+  "packing_efficiency": 0.7901899871812198,
+  "packing_efficiency_details": {
+    "total_area": 0.7901899871812198,
+    "square_area": 1.0,
+    "efficiency": 0.7901899871812198,
+    "relative_to_estimated_best": 0.9407023656919283
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771192689413424,
+    "std": 0.011244054483190075,
+    "min": 0.04149211366129673,
+    "max": 0.10001108749487,
+    "range": 0.058518973833573275,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.7070836548917997,
+  "geometric_quality_details": {
+    "num_triangles": 34,
+    "avg_triangle_quality": 0.7070836548917997,
+    "min_quality": 0.7067135247646221,
+    "max_quality": 0.7074864568991871
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..0a1ff71c401421236201a9210410ce92754a9dda
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 489.61 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5405
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.707
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5405
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.707
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..24416dbe3b3256074b4be970955b049cdeaa48cd
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405100992474905,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.5000, 0.3000)\n  centers[12] = (0.5000, 0.5000)\n  centers[13] = (0.5000, 0.7000)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4000, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190679977957492,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9990738864356634,
+        "aux_packing_efficiency": 0.7901899871812198,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.7070836548917997
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405100992474905
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5405\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.707\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_98/results/packing_viz.png",
+    "execution_time_mean": 489.6097275707871,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/__pycache__/main.cpython-311.pyc b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/__pycache__/main.cpython-311.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..dcdfbc9a499edaf147fcbbf815d68d24c0aa7295
Binary files /dev/null and b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/__pycache__/main.cpython-311.pyc differ
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/auxiliary_analysis.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/auxiliary_analysis.json
new file mode 100644
index 0000000000000000000000000000000000000000..613455b9ccb7f04e9515cfcf96bf7a3c49d3bb61
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/auxiliary_analysis.json
@@ -0,0 +1,55 @@
+{
+  "spatial_uniformity": 0.9190693114526006,
+  "spatial_uniformity_details": {
+    "cell_size_mean": 0.1989788942682542,
+    "cell_size_std": 0.017521528354601367,
+    "coefficient_of_variation": 0.08805721999300302
+  },
+  "edge_utilization": 0.7846153846153846,
+  "edge_utilization_details": {
+    "corners_touched": 4,
+    "edges_touched": 12,
+    "corner_score": 1.0,
+    "edge_score": 0.46153846153846156
+  },
+  "density_variance": 0.9988158837286151,
+  "density_variance_details": {
+    "grid_size": 10,
+    "variance": 1.3850517933126958e-09,
+    "mean_density": 0.03139236854284749,
+    "cv": 0.0011855200649840288
+  },
+  "packing_efficiency": 0.7902181613653819,
+  "packing_efficiency_details": {
+    "total_area": 0.7902181613653819,
+    "square_area": 1.0,
+    "efficiency": 0.7902181613653819,
+    "relative_to_estimated_best": 0.9407359063873595
+  },
+  "radius_distribution": 0.1483905006123733,
+  "radius_distribution_details": {
+    "mean": 0.09771367979684906,
+    "std": 0.011244159679087358,
+    "min": 0.041493632725324255,
+    "max": 0.10000154344529251,
+    "range": 0.058507910719968255,
+    "small_count": 1,
+    "medium_count": 25,
+    "large_count": 0,
+    "diversity_score": 0.1483905006123733
+  },
+  "gap_analysis": 0.8048,
+  "gap_analysis_details": {
+    "covered_samples": 2012,
+    "total_samples": 2500,
+    "coverage": 0.8048,
+    "gap_ratio": 0.19520000000000004
+  },
+  "geometric_quality": 0.701129258449823,
+  "geometric_quality_details": {
+    "num_triangles": 35,
+    "avg_triangle_quality": 0.701129258449823,
+    "min_quality": 0.4999912832775437,
+    "max_quality": 0.7074066887938821
+  }
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/correct.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/correct.json
new file mode 100644
index 0000000000000000000000000000000000000000..3253af2e0d1b8942bcb0602218b9caf2145945ab
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/correct.json
@@ -0,0 +1,4 @@
+{
+    "correct": true,
+    "error": null
+}
\ No newline at end of file
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/job_log.err b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/job_log.err
new file mode 100644
index 0000000000000000000000000000000000000000..345388018093ce84dec98ead3e182d85d46d64b2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/job_log.err
@@ -0,0 +1,9 @@
+/home/tengxiao/pj/ShinkaEvolve/.venv/lib/python3.11/site-packages/instructor/providers/gemini/client.py:5: FutureWarning: 
+
+All support for the `google.generativeai` package has ended. It will no longer be receiving 
+updates or bug fixes. Please switch to the `google.genai` package as soon as possible.
+See README for more details:
+
+https://github.com/google-gemini/deprecated-generative-ai-python/blob/main/README.md
+
+  import google.generativeai as genai  # type: ignore[import-not-found]
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/job_log.out b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/job_log.out
new file mode 100644
index 0000000000000000000000000000000000000000..da2b34205633a369b7041e970e8decd3c8ee1fb2
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/job_log.out
@@ -0,0 +1,70 @@
+[MetricRegistry] Registered metric: spatial_uniformity
+[MetricRegistry] Registered metric: edge_utilization
+[MetricRegistry] Registered metric: density_variance
+[MetricRegistry] Registered metric: packing_efficiency
+[MetricRegistry] Registered metric: radius_distribution
+[MetricRegistry] Registered metric: gap_analysis
+[MetricRegistry] Registered metric: geometric_quality
+======================================================================
+ENHANCED EVALUATION WITH AUXILIARY METRICS
+======================================================================
+Program: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/main.py
+Results: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results
+Auxiliary Metrics: ENABLED
+======================================================================
+
+Run 1/1 completed in 2522.48 seconds
+[AuxiliaryEval] Detailed analysis saved to: examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/auxiliary_analysis.json
+Detailed packing data saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/extra.npz
+Visualization saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/packing_viz.png
+Correctness and error status saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/correct.json
+Metrics saved to examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/metrics.json
+
+======================================================================
+✅ EVALUATION COMPLETED SUCCESSFULLY
+======================================================================
+
+📊 METRICS SUMMARY:
+----------------------------------------------------------------------
+  Primary Score (sum of radii): 2.5406
+
+  Auxiliary Metrics:
+    • spatial_uniformity: 0.919
+    • edge_utilization: 0.785
+    • density_variance: 0.999
+    • packing_efficiency: 0.790
+    • radius_distribution: 0.148
+    • gap_analysis: 0.805
+    • geometric_quality: 0.701
+
+============================================================
+AUXILIARY EVALUATION FEEDBACK
+============================================================
+Primary Score (sum of radii): 2.5406
+
+Auxiliary Metrics:
+------------------------------------------------------------
+
+✅ Strengths:
+  • Spatial distribution uniformity (Voronoi analysis): 0.919
+  • Boundary and corner utilization: 0.785
+  • Spatial density uniformity across grid: 0.999
+  • Area utilization efficiency: 0.790
+  • Area coverage (1 - gap ratio): 0.805
+  • Delaunay triangulation quality: 0.701
+
+📊 Other Metrics:
+  • Radius size diversity: 0.148
+
+------------------------------------------------------------
+💡 Actionable Recommendations:
+  1. Overall packing quality is good! Continue optimizing primary score.
+============================================================
+
+======================================================================
+📁 OUTPUT FILES:
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/metrics.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/correct.json
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/extra.npz
+  • examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/auxiliary_analysis.json
+======================================================================
diff --git a/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/metrics.json b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/metrics.json
new file mode 100644
index 0000000000000000000000000000000000000000..41f24bc4429b554f8471568a9abf03dbb6073b0c
--- /dev/null
+++ b/examples_deprecated/circle_packing/results__debug/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/metrics.json
@@ -0,0 +1,24 @@
+{
+    "combined_score": 2.5405556747180755,
+    "public": {
+        "centers_str": "  centers[0] = (0.1000, 0.1000)\n  centers[1] = (0.1000, 0.3000)\n  centers[2] = (0.1000, 0.5000)\n  centers[3] = (0.1000, 0.7000)\n  centers[4] = (0.1000, 0.9000)\n  centers[5] = (0.3000, 0.1000)\n  centers[6] = (0.3000, 0.3000)\n  centers[7] = (0.3000, 0.5000)\n  centers[8] = (0.3000, 0.7000)\n  centers[9] = (0.3000, 0.9000)\n  centers[10] = (0.5000, 0.1000)\n  centers[11] = (0.4998, 0.3000)\n  centers[12] = (0.4998, 0.4999)\n  centers[13] = (0.5000, 0.6999)\n  centers[14] = (0.5000, 0.9000)\n  centers[15] = (0.7000, 0.1000)\n  centers[16] = (0.7000, 0.3000)\n  centers[17] = (0.7000, 0.5000)\n  centers[18] = (0.7000, 0.7000)\n  centers[19] = (0.7000, 0.9000)\n  centers[20] = (0.9000, 0.1000)\n  centers[21] = (0.9000, 0.3000)\n  centers[22] = (0.9000, 0.5000)\n  centers[23] = (0.9000, 0.7000)\n  centers[24] = (0.9000, 0.9000)\n  centers[25] = (0.4001, 0.7999)",
+        "num_circles": 26,
+        "aux_spatial_uniformity": 0.9190693114526006,
+        "aux_edge_utilization": 0.7846153846153846,
+        "aux_density_variance": 0.9988158837286151,
+        "aux_packing_efficiency": 0.7902181613653819,
+        "aux_radius_distribution": 0.1483905006123733,
+        "aux_gap_analysis": 0.8048,
+        "aux_geometric_quality": 0.701129258449823
+    },
+    "private": {
+        "reported_sum_of_radii": 2.5405556747180755
+    },
+    "text_feedback": "============================================================\nAUXILIARY EVALUATION FEEDBACK\n============================================================\nPrimary Score (sum of radii): 2.5406\n\nAuxiliary Metrics:\n------------------------------------------------------------\n\n\u2705 Strengths:\n  \u2022 Spatial distribution uniformity (Voronoi analysis): 0.919\n  \u2022 Boundary and corner utilization: 0.785\n  \u2022 Spatial density uniformity across grid: 0.999\n  \u2022 Area utilization efficiency: 0.790\n  \u2022 Area coverage (1 - gap ratio): 0.805\n  \u2022 Delaunay triangulation quality: 0.701\n\n\ud83d\udcca Other Metrics:\n  \u2022 Radius size diversity: 0.148\n\n------------------------------------------------------------\n\ud83d\udca1 Actionable Recommendations:\n  1. Overall packing quality is good! Continue optimizing primary score.\n============================================================",
+    "visualization_path": "examples/circle_packing/results/results_circle_packing_NO_vision_WITH_refined_aux_20260118_205215/gen_99/results/packing_viz.png",
+    "execution_time_mean": 2522.477955015842,
+    "execution_time_std": 0.0,
+    "num_valid_runs": 1,
+    "num_invalid_runs": 0,
+    "all_validation_errors": []
+}
\ No newline at end of file