[
  {
    "run_id": "luna_001_circle_packing_rectangle_aq04",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "aq04",
    "state": "complete_budget_finalized",
    "job": "951666",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/circle_packing_rectangle_aq04.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.3658323760904554,
    "auc_score_seconds": 33081.3626901378,
    "completed_budget": true,
    "best_observed_score": 2.3658323760904554,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 152,
    "evaluated_candidates": 169,
    "invalid_or_censored_candidates": 17,
    "ordinary_decisions": 154,
    "selected_operator_counts": {
      "improve": 67,
      "evolution": 71,
      "fusion": 16
    },
    "first_operator_dispatch_seconds": {
      "evolution": 1695.6102905273438,
      "fusion": 8799.402081251144,
      "improve": 969.9716415405273
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 24,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 1,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 3,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 125,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1
    },
    "branch_selection_hhi": 0.6835891381345927,
    "mean_p_posterior_best": 0.20009464412540584,
    "mean_p_legal_parent_best": 0.26888403954443996,
    "mean_p_global_parent_best": 0.23164308225953734,
    "mean_p_cross_mean_branch": 0.20198277064732142,
    "mean_p_near_optimal_parents": 0.6303659414316153,
    "mean_p_non_mean_best": 0.7999053558745941,
    "actual_legal_best_frequency": 0.3116883116883117,
    "actual_posterior_best_frequency": 0.24025974025974026,
    "actual_global_best_frequency": 0.2857142857142857,
    "actual_near_optimal_parent_frequency": 0.6363636363636364,
    "actual_cross_mean_branch_frequency": 0.18181818181818182,
    "global_champion_available_frequency": 0.8766233766233766,
    "global_best_tied_decisions": 122,
    "legal_best_tied_decisions": 120,
    "posterior_best_tied_decisions": 64,
    "multi_candidate_decisions": 154,
    "llm_finished_calls": 565,
    "llm_successful_calls": 565,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "36f59a992ce0424f88547c179e334a72",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "eb8d56a2febf4c1a830d0701d5241a0d",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 6031286,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_001_circle_packing_rectangle_aq04",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_001_circle_packing_rectangle_aq04/20261014_115612_luna_001_circle_packing_rectangle_aq04/logs",
    "timeout_candidates": 1,
    "censored_candidates": 3,
    "interrupted_candidates": 2,
    "uncommitted_interrupted_candidates": 2,
    "invalid_candidates": 16,
    "non_draft_completed": 163,
    "non_draft_valid": 147,
    "pending_candidates": 2,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_001_circle_packing_rectangle_aq04/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 43.69283520888687,
    "all_decision_means": {
      "p_posterior_best": 0.20009464412540584,
      "p_legal_parent_best": 0.26888403954443996,
      "p_global_parent_best": 0.23164308225953734,
      "p_cross_mean_branch": 0.20198277064732142,
      "p_non_mean_best": 0.7999053558745941,
      "selected_posterior_best": 0.24025974025974026,
      "selected_legal_parent_best": 0.3116883116883117,
      "selected_global_parent_best": 0.2857142857142857,
      "selected_cross_mean_branch": 0.18181818181818182,
      "minimum_legal_branch_probability": 0.004501144607345779
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 151,
        "selected": 1,
        "expected_selections": 1.52459716796875,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 153,
        "selected": 125,
        "expected_selections": 121.67718505859375,
        "max_candidate_count": 91,
        "max_valid_feedback": 118,
        "selected_parent_ids": [
          "039823950f33472190ea4a88db27570d",
          "061de9e7618d44c4a46361d0ac432a0f",
          "0974dde2fe4d4e2795beb3aada00eddd",
          "0a433907417c4a36baf6d74459228c6b",
          "135138514bdb45e2bdaeeb3ab3d2d5a5",
          "16e682f70b2e47068320fcf76ce9b7cd",
          "17fcf953ffa24049adc06484e1971f7c",
          "20a801940ef247abbf62eb69dc576257",
          "2289df52974c4242b12a4824f50c04cd",
          "2a670b5d832a46ef8821e49bf4307647",
          "2c34ecb5104146e891d3a35c7b8781ad",
          "32e17dec2fc64a89b2400e9e189fb2c7",
          "3365c4280da94ab7a6493ee7a51e8747",
          "3955b57d397c44778cc44a8ef6433714",
          "39ef20e559a3495fa1094ebd47a61707",
          "39f2200ad96c4c76a62530ef3a00af89",
          "3c1b7f0837fe4aa59ce97867cf315cd2",
          "3db47f16aa6a487593a6914931a06b1c",
          "4ecb6fc2a252425abaa572e7840ab178",
          "57125888d5c247358f33620c6264945e",
          "67e24b54b0ff4753a4181e1abe5c66da",
          "685e294d91034b5083ab9a7b29c5be68",
          "6f2901bf284e4b9ea68a63517cf4c34d",
          "72bb4e26006945cd93a92ca710226352",
          "7aaa232696644ee09bf6e4b84cbcbaa7",
          "7fc56431e6d145c384bb72f65585b5c4",
          "82e51e27a6274df4abbb32fc03c28422",
          "909ddcb7e9524ea1a74c0976a76307cb",
          "9482c46f38244d999a98585d48bcd437",
          "9483f660e5364586b21f08103af1de52",
          "965f1a8dca0d44f582b844b1c98fba5e",
          "98e14557f8d241ddad820e3d65409891",
          "a33080d9d21844e8bf551fc02b2c1a1d",
          "a5eb4b45f124465abd42bde4ac4c9a85",
          "a822c769f5a848feb5542ccd04891769",
          "affece2a7b41449ab2a10db9b3a6432d",
          "b308848ee91c4d10a792df760a3f12f8",
          "b5375c4f187a4c1c894a10fad6493f1f",
          "bb33ed34d8804fa1be261eade2b455d1",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "bf918fbbc0fc4d3cb7bdc0d928060707",
          "bf957953590f4e9984545b32dddb2ffb",
          "c0457bccbe5f4188a72fa0f308114cff",
          "c34bf9215e1c4bf7a57896ae2f1dd41d",
          "c68bef143f8f465ea1f1dbf38bcc9e48",
          "c7fffec90b964f5a805c128b1e8c345c",
          "ce46596a18d04650aaf3d4fea7247aba",
          "d315ed6c40554f468978839bde921f1d",
          "d81b7de13f734476a3aa6cc039f327d0",
          "e096ed6bf7ac4bf9abcb69be95e0c9f7",
          "e9cfe6bbd7f14a50b46c67c17464c080",
          "ee75ab351e5c4c8f85e5ff2f33dca007",
          "f032a06cebea4fc4b7910d342ac741dc",
          "f1043df839b34dce95b066da2605a670",
          "f74eb052c9d24825875c6690514953bf",
          "fb45d5696f5e4df58d54b6dfd2db847e",
          "fcd9cca29b13463da16e56b80306094e",
          "ff5058fc73344fe9b7b9a2a3ed828e16"
        ],
        "min_legal_probability": 0.18585205078125
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 150,
        "selected": 3,
        "expected_selections": 6.10382080078125,
        "max_candidate_count": 4,
        "max_valid_feedback": 3,
        "selected_parent_ids": [
          "27ae859e73924871ae8bd6bfdc2645e2",
          "3d902adca03347d794ddc0fe299de6d4"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 152,
        "selected": 24,
        "expected_selections": 24.455322265625,
        "max_candidate_count": 22,
        "max_valid_feedback": 24,
        "selected_parent_ids": [
          "2080cde248634177936229347da9850f",
          "2a7977ed6e0b41efae38b12a9320df83",
          "541ae73d949440f99340c160f1de3da7",
          "5c81a79a27f14b71bcfaa2a434014fc2",
          "82f96e6f1c6a4854857917e15fbacea8",
          "865b051f91ff4dddb0f71b0fd9373c86",
          "899db5a093bb4b8fb47035dd245f11ea",
          "8d573a6a82d847c0b83fa76be7ff5623",
          "9c15802bbc064a6586640a1d85ab21cd",
          "9fc6e64ec6d34da9bd02aa743eef6e85",
          "a637a5b7123a4a53ae8da77f0913c99d",
          "b2ce5c7a56cf409bb410681a9b89b5ac",
          "ba6334723e6a4e59a3671e2ba299ddbe",
          "bccdf9e10a6f4991b4c55762114dfc76",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "e0f468518003466780f41e8c123b4917"
        ],
        "min_legal_probability": 0.00213623046875
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 150,
        "selected": 1,
        "expected_selections": 0.23907470703125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "aea4bb27f92d48e285cba505ebd60611"
        ],
        "min_legal_probability": 0.0
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 115,
      "native_child_limit_or_topk_gate": 200
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "039823950f33472190ea4a88db27570d",
      "metric": 2.3658323760904554,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_001_circle_packing_rectangle_aq04/20261014_115612_luna_001_circle_packing_rectangle_aq04/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_001_circle_packing_rectangle_aq04/20261014_115612_luna_001_circle_packing_rectangle_aq04/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.3658323760904554,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "045e43f6f6d3b1f6892a4d2a58f25da8f6e4339657cd6e3433321e355c9e0fbb"
      },
      "completed_nodes": 168
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": 0.0,
    "delta_auc_vs_same_model_baseline": 0.0
  },
  {
    "run_id": "luna_002_circle_packing_rectangle_root_sd3",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "root_sd3",
    "state": "complete_budget_finalized",
    "job": "951667",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/circle_packing_rectangle_root_sd3.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.3658323761998483,
    "auc_score_seconds": 33063.17960499627,
    "completed_budget": true,
    "best_observed_score": 2.3658323761998483,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 223,
    "evaluated_candidates": 261,
    "invalid_or_censored_candidates": 38,
    "ordinary_decisions": 231,
    "selected_operator_counts": {
      "improve": 123,
      "evolution": 92,
      "fusion": 16
    },
    "first_operator_dispatch_seconds": {
      "evolution": 1262.6021451950073,
      "fusion": 8177.56215429306,
      "improve": 970.0350036621094
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 48,
      "AQ04:aef33066ac2948638a969569a17460ce": 36,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 61,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 32,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 54
    },
    "branch_selection_hhi": 0.2110342759693409,
    "mean_p_posterior_best": 0.1586610207826028,
    "mean_p_legal_parent_best": 0.1176520013189935,
    "mean_p_global_parent_best": 0.043533127029220776,
    "mean_p_cross_mean_branch": 0.5881683217498647,
    "mean_p_near_optimal_parents": 0.5062818651075487,
    "mean_p_non_mean_best": 0.8413389792173972,
    "actual_legal_best_frequency": 0.10822510822510822,
    "actual_posterior_best_frequency": 0.18614718614718614,
    "actual_global_best_frequency": 0.06060606060606061,
    "actual_near_optimal_parent_frequency": 0.46320346320346323,
    "actual_cross_mean_branch_frequency": 0.5974025974025974,
    "global_champion_available_frequency": 0.5800865800865801,
    "global_best_tied_decisions": 47,
    "legal_best_tied_decisions": 66,
    "posterior_best_tied_decisions": 62,
    "multi_candidate_decisions": 231,
    "llm_finished_calls": 887,
    "llm_successful_calls": 887,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "a3fc9a955b5940c88c996c0b626d0095",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "e20892b71e5b430dbec5c639e1ce7c0e",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "c076453326e14c22a0f85f0dbeffe5d7",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 9277815,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_002_circle_packing_rectangle_root_sd3",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_002_circle_packing_rectangle_root_sd3/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 3,
    "uncommitted_interrupted_candidates": 3,
    "invalid_candidates": 38,
    "non_draft_completed": 256,
    "non_draft_valid": 218,
    "pending_candidates": 3,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_002_circle_packing_rectangle_root_sd3/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 68.62187615628858,
    "all_decision_means": {
      "p_posterior_best": 0.1586610207826028,
      "p_legal_parent_best": 0.1176520013189935,
      "p_global_parent_best": 0.043533127029220776,
      "p_cross_mean_branch": 0.5881683217498647,
      "p_non_mean_best": 0.8413389792173972,
      "selected_posterior_best": 0.18614718614718614,
      "selected_legal_parent_best": 0.10822510822510822,
      "selected_global_parent_best": 0.06060606060606061,
      "selected_cross_mean_branch": 0.5974025974025974,
      "minimum_legal_branch_probability": 0.06711119284361472
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 230,
        "selected": 32,
        "expected_selections": 37.58123779296875,
        "max_candidate_count": 29,
        "max_valid_feedback": 32,
        "selected_parent_ids": [
          "074c23a580f94a9785e9b0a2e141a6d3",
          "0be0d0bd3e74469f9e5d7f8e6f60ad27",
          "2dde7edf5e8c4c43a45a2dc9097eb06c",
          "38d0585333b44b5e8ed239f239247c24",
          "5b24b85d8b0f497fa9ef9f92f121498e",
          "60314a59bcf745d59c75f1defa45913d",
          "61ef59ae96a4449d988bef463af43e9b",
          "6a3509ea19ad486ab24f47eb2562d986",
          "7682464d13ab4a5683ff0197da1b1cc6",
          "79f85342ac1442f5b1ca0405fdbfb1d6",
          "9ccef7be96624b08983d0e854a7db803",
          "a41f296ffc8046b59193fa1912357e24",
          "c2039d5c7d904c2c8c24ada35da09ed9",
          "c96c6191fad14daa8da42eea4e371e28",
          "dc8104679dda43619c4180090c2a50ea"
        ],
        "min_legal_probability": 0.0047607421875
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 229,
        "selected": 48,
        "expected_selections": 44.59930419921875,
        "max_candidate_count": 39,
        "max_valid_feedback": 46,
        "selected_parent_ids": [
          "05638c853a5a4be49e3b0b2edeab7028",
          "2402b9e9ff7b43f48e48d29004a4f312",
          "2727a28f55654fbab79fc78b28c2ec9f",
          "3a08be6f16734452906405f1d87e09c6",
          "3a9cda3738654ad2b6b9c248f5b9b2ea",
          "3cdd9d2fd25a4ddf8d39dd7d63b700ef",
          "3fda24245b8b4428bb93821b0c6c3bd6",
          "4d331f9a0f0b4c05af3a22c9be9436a0",
          "5934abdf271247efb92f5abd17136c03",
          "59cc89d0c4e645be803ca66abe95cf38",
          "5dd234cac4cf4a19b3b18b21ec457197",
          "61f9e11a8d9f408d82174af34c2598ad",
          "6d5c8de6ff4649d6ba18b88bcf186ae1",
          "83cfb5ee08d4432c8c625fa74361d3cf",
          "8a4a1960133f4ff1aea86e66db44fc4f",
          "8b3cfc80ebe44a05ab2cd82f11957d1e",
          "98668f40c11345538e5fad98df146c27",
          "98ef9d73044e4a7ca3d0ed3e72d9bed3",
          "a18015534b5e4dea978c749a215a531e",
          "aaec90e12e2e492caeb5879e68113841",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "dd7dd2e07c234fa3bbae3fe4fda44c52",
          "f410491b080c4b53ace73bda9aac7d60",
          "f5339224f0a14b6eb7d374e87f378a48"
        ],
        "min_legal_probability": 0.02581787109375
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 221,
        "selected": 61,
        "expected_selections": 65.02301025390625,
        "max_candidate_count": 47,
        "max_valid_feedback": 57,
        "selected_parent_ids": [
          "055bf5399f1743aa8f3d97ae4c8e9a51",
          "163d68d8ccd54fa2bcf5ea95f07903a9",
          "1ca971dba2be4eeeb957e998301689f0",
          "2000fadeb11e4cdcac48fe2b897b126a",
          "25ed8924ab7d47aa9da60bba0d6d25e5",
          "38ec895e6bf048008ffa1cef0ddbbe90",
          "3d902adca03347d794ddc0fe299de6d4",
          "4201ab33acfd465fb80bf5f8927de0bf",
          "47023f8d2a864d3dabbe415663b9f8ad",
          "4ae11b9b510e463bb91c7dfb62a012dc",
          "51da36bd47de445c962eed42f794b382",
          "6da5d81f60904e4cab8148e72f75c123",
          "778d76ac9e6a4eb1a9a821f08363a79b",
          "7a55561408424c06b15a42eccb46b310",
          "7d8b59c36a8a4fc8b0cb1892fdfbbd9e",
          "99a366a511fd440094702501e35c822c",
          "a6c40d12e26940c3a9315b58b0d4ffa4",
          "a885c7cc3ac84d61aebcfb19854984cc",
          "b680c100163d4adfbcfb25d68ad40433",
          "bc577031f4914df69167480d2e3e057e",
          "bfd5d7059c234fd0809ecf745b259676",
          "c4c2ae92579e41f6a9bfc54211572192",
          "c520d718359b40cc8bf2aa9ee3f99718",
          "c725acd1d3d34cd4b1a4e63806748561",
          "cf863368607f4135acdc79a2241124a4",
          "d780296c55e245de92db62d0124c4e5c",
          "fc96bd8965524185abc169c235dc7361"
        ],
        "min_legal_probability": 0.00341796875
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 229,
        "selected": 36,
        "expected_selections": 37.2969970703125,
        "max_candidate_count": 28,
        "max_valid_feedback": 34,
        "selected_parent_ids": [
          "126e6b75aac84daeaa8f6a46942b77ad",
          "353175b2a30b4d089aeab520fbe89c26",
          "69420fd08cf04319be01875de5171285",
          "937b6a81cc504570a265da80712099c3",
          "975c385ce5694e86872b49a944b21dcc",
          "9e237e6ea5974a00b5cd2f9028608fc0",
          "a07b8c531cb04763a751be571d842e14",
          "a7ba91858a3b420585fbe6b0d89aca48",
          "ae47f7f2e14d4478a07c53277e51da05",
          "b19663465caa44a3845d8701a1e612fa",
          "b210049a276d4626a19cdb2f522b4221",
          "b64edc7e8db346749133c2e44509f053",
          "ca75bc320eab48ed93cf5c09c2c5e994",
          "cb749cf023554adda5b71d5d8d674ac2",
          "cee44dc8424c48029effa104821baf88",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "d5d45b0ebe6a40ddbd13221d8a494d3a",
          "f35d4563331e473cb542a3f42f92fdeb"
        ],
        "min_legal_probability": 0.00128173828125
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 219,
        "selected": 54,
        "expected_selections": 46.49945068359375,
        "max_candidate_count": 41,
        "max_valid_feedback": 49,
        "selected_parent_ids": [
          "06a7282ffa1f4f29ba8304cfb2e2f44a",
          "0cb8f8d3ddc24871bf812ee4d84d5247",
          "38c676f2b817495e83781aa749e13d9a",
          "46baed0b463d4da79a90a3827db90c8e",
          "49d20c3586b644b78279c1a9e4beadd3",
          "4a826a6f125a4cf8b612c9e293d4097a",
          "667019ddd497430a8fda2f22d3312bd6",
          "69fcddee620c4c59b5af49fb8b0f7baf",
          "78f9b4094a814b6b9d570d30a656d9df",
          "7c2b1b0688f54a93bb3535ff2c49f389",
          "7d755324c228488a8792dec303ce48be",
          "9eb3e415941242e38e17f20413a7d689",
          "a3af177efe5a47509f90f5536ce2d7ca",
          "aea4bb27f92d48e285cba505ebd60611",
          "afa71cf16ee24085bd3e110bd7d218ec",
          "b4b05ff4fba5467dbb6570ec7f960bce",
          "ba950794c73c4bc5ab7316a1a04375bc",
          "bcf58377b5af4a99ab2fa1ea66d78a26",
          "c19c1d50d819436296323f659c2ce6db",
          "d4d3b61b3f604b8e948a76c672c6d4a4",
          "d94b2ea51814421d8a722eaf93b1a1fa",
          "e21fc81257824732a65c26da724e3ecc",
          "e3bb82b1a4ab4aadb5a74d2704443f21",
          "effd9392728f4d95a3d601fc802fbe98",
          "f786c3f627584f93bd66c0b9d9364545"
        ],
        "min_legal_probability": 0.02191162109375
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 66,
      "native_child_limit_or_topk_gate": 60
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "b4b05ff4fba5467dbb6570ec7f960bce",
      "metric": 2.3658323761998483,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_002_circle_packing_rectangle_root_sd3/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_002_circle_packing_rectangle_root_sd3/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.3658323761998483,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "af087771025ad0724a37f3a39ba6fe7c185ffea32a1eae2e82503a69d66a01a9"
      },
      "completed_nodes": 261
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": 1.0939293915157577e-10,
    "delta_auc_vs_same_model_baseline": -18.183085141528863
  },
  {
    "run_id": "luna_003_circle_packing_rectangle_root_local035",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "root_local035",
    "state": "complete_budget_finalized",
    "job": "951747",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/circle_packing_rectangle_root_local035.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.3658323759768236,
    "auc_score_seconds": 33100.0619513235,
    "completed_budget": true,
    "best_observed_score": 2.3658323759768236,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 205,
    "evaluated_candidates": 229,
    "invalid_or_censored_candidates": 24,
    "ordinary_decisions": 207,
    "selected_operator_counts": {
      "improve": 66,
      "evolution": 121,
      "fusion": 20
    },
    "first_operator_dispatch_seconds": {
      "evolution": 1717.7374289035797,
      "fusion": 7810.486218929291,
      "improve": 970.0347530841827
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 108,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 13,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 36,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 49,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1
    },
    "branch_selection_hhi": 0.3624588671847651,
    "mean_p_posterior_best": 0.24787792261096014,
    "mean_p_legal_parent_best": 0.21226494093448067,
    "mean_p_global_parent_best": 0.19646332229393115,
    "mean_p_cross_mean_branch": 0.46761509992074274,
    "mean_p_near_optimal_parents": 0.4543253580729167,
    "mean_p_non_mean_best": 0.7521220773890398,
    "actual_legal_best_frequency": 0.20772946859903382,
    "actual_posterior_best_frequency": 0.2560386473429952,
    "actual_global_best_frequency": 0.1932367149758454,
    "actual_near_optimal_parent_frequency": 0.42028985507246375,
    "actual_cross_mean_branch_frequency": 0.47342995169082125,
    "global_champion_available_frequency": 0.9758454106280193,
    "global_best_tied_decisions": 125,
    "legal_best_tied_decisions": 121,
    "posterior_best_tied_decisions": 30,
    "multi_candidate_decisions": 207,
    "llm_finished_calls": 748,
    "llm_successful_calls": 748,
    "llm_failed_calls": 0,
    "recovery_count": 1,
    "recoveries": [
      {
        "run_id": "luna_003_circle_packing_rectangle_root_local035",
        "old_job": "951668",
        "slurm_terminal_evidence": "951668|FAILED\n",
        "failure_kind": "numerical_optimizer",
        "failed_training_n": 155,
        "saved_fit_training_n": 156,
        "saved_fit_model_version": "study7-3b6c54c24ccf6dc85975",
        "saved_fit_status": "map_converged",
        "pending_with_existing_terminal_records": [
          {
            "decision_id": "dcd0375dde3d4f20852747a148894eb9",
            "transition_id": "bf0c04b0f38f4e3d9aab552e9211d5b1",
            "valid": false,
            "proposal_closed": false,
            "child_id": "51fd933bd1d04efda5b1e243eb9659b4"
          },
          {
            "decision_id": "078fa88b1fa94ee1b889f507e645090f",
            "transition_id": "c8cbf065ac6c4fd8a98ea5597aa9d340",
            "valid": true,
            "proposal_closed": true,
            "child_id": "a6ece6b8e86b492792973895072e183a"
          }
        ],
        "checkpoint_elapsed_seconds": 10313.943615436554,
        "resumed_active_seconds": 10349,
        "remaining_seconds": 4051,
        "native_reconciliation": "Each pending entry has a saved terminal record and node snapshot; original runtime reconciles without a new draw or synthetic label.",
        "receipt": "[workspace]/experiment/bo_paper_aligned_iteration_20261014/submission_recovery002.json",
        "reason": "N155 optimizer terminated ABNORMAL; a later real completed observation already yielded converged N156 in the original checkpoint. Resume that checkpoint on the original node; retain all feedback, failure history, RNG and consumed budget."
      }
    ],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 1,
    "selector_failure_events": [
      {
        "method_id": "AQ04",
        "reason": "study7/numerical_failure: optimizer ABNORMAL: ",
        "stage": "observe",
        "status": "blocked/numerical_failure",
        "timestamp": "2026-10-14T18:48:41.066177+00:00"
      },
      {
        "method_id": "AQ04",
        "reason": "study7/numerical_failure: optimizer ABNORMAL: ",
        "stage": "observe",
        "status": "blocked/numerical_failure",
        "timestamp": "2026-10-14T18:48:43.893098+00:00"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "74bd2b0bbd804b0f829917f76baeda37",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "9319b08d87d348d48f67d72a896373a8",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 8842824,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_003_circle_packing_rectangle_root_local035",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_003_circle_packing_rectangle_root_local035/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 2,
    "uncommitted_interrupted_candidates": 2,
    "invalid_candidates": 23,
    "non_draft_completed": 223,
    "non_draft_valid": 200,
    "pending_candidates": 2,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_003_circle_packing_rectangle_root_local035/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 59.77608743301701,
    "all_decision_means": {
      "p_posterior_best": 0.24787792261096014,
      "p_legal_parent_best": 0.21226494093448067,
      "p_global_parent_best": 0.19646332229393115,
      "p_cross_mean_branch": 0.46761509992074274,
      "p_non_mean_best": 0.7521220773890398,
      "selected_posterior_best": 0.2560386473429952,
      "selected_legal_parent_best": 0.20772946859903382,
      "selected_global_parent_best": 0.1932367149758454,
      "selected_cross_mean_branch": 0.47342995169082125,
      "minimum_legal_branch_probability": 0.00349286213013285
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 207,
        "selected": 1,
        "expected_selections": 0.7279052734375,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 207,
        "selected": 49,
        "expected_selections": 44.81329345703125,
        "max_candidate_count": 38,
        "max_valid_feedback": 49,
        "selected_parent_ids": [
          "03563f06185e421dace6de2ad5a42f2f",
          "036516e4bed3443a920cfc4b211224af",
          "2525a8bbc03c4ae88d1d4742e32c2643",
          "25d22d6ccfe544c39080faa1f1d0cb85",
          "2aa0de47d6a040d1b3d4c4a6d180a6c5",
          "2d476ee7844340c894d2a8ab3faf17f2",
          "4a0372cbaf944adb9b466040210b111f",
          "4b8d937577524c4e9802e5671e935f10",
          "57d631a3e457420db5b755c42110fa20",
          "680fad5775d347ada684e020cc7851d5",
          "68547b4bc61b45aa987675d7c1ca609c",
          "6d89b230ac114453806ce6c6f906466e",
          "7851f39a02e5471cbb3d0abea8bd04f0",
          "7d7dacbc28024e9587d45f62f5e0e8a2",
          "90124904ce8e4b99a16ce0b15a4e6614",
          "aa52c15a5e9745c0bd9337bf16a4d8fb",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "be700e2469a44f4fa8feda8bfc422aee",
          "d711a0fbd8fa42b5950fd2f79e3188f6",
          "df458b7090d9400b9a9d69758cb61190",
          "e14fcee74efe43a4865c4e0f2d419426",
          "f5593aa5a74646bd851490c834adc136",
          "fd3ece0e0932471aae30ac2ecada523a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 197,
        "selected": 36,
        "expected_selections": 31.77386474609375,
        "max_candidate_count": 25,
        "max_valid_feedback": 32,
        "selected_parent_ids": [
          "04771db9e70f4e178467d733211fa7d8",
          "17c34137a3f5426fba84a5b5a2c147ef",
          "1d0a15af0af54ada8a3f0e5a5a352d1c",
          "2ed0f5ffb18844d0a8abea54aa8e5e5f",
          "3d902adca03347d794ddc0fe299de6d4",
          "4ef4dbd2a0a040668d1b5c6a11e56e4b",
          "56aad2b88661470681570d4d8629794f",
          "686754f7171341969adee27853ed21cb",
          "6c0737db83fc49d89931c7d8f3d6d236",
          "9cb03f77a3ce4b6ebd708b9363709249",
          "9e0e8d2a20c340d6ab5303dd53636537",
          "b756b8ad842e46e0bcc73975854b1f02",
          "babfa0d8e3bb4f619c12998e9de1d8eb",
          "bf5b35494b924a05ab44447d6bbe44b4",
          "c39a01487bfc4d04a6a6259e49cdda63",
          "da0c0628413946e5985cf2b6cd3ff5b7",
          "e9027a6d71f340578e53570605cf8ecd",
          "eb090d0518c1455a9f202a499b25753b",
          "edf7009596e047329b37932c5eb79672"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 205,
        "selected": 108,
        "expected_selections": 112.32891845703125,
        "max_candidate_count": 78,
        "max_valid_feedback": 105,
        "selected_parent_ids": [
          "02f02ce650594e4caed587b18e73a811",
          "102efabc39cc402286d539ad9c364f48",
          "1a62c7cd91034ebf998931f6ecccf2b8",
          "1e651bb24e4247389af0652f66ece5ca",
          "208d9db7b79545bcac347dd5a2039238",
          "27691b04d5834898a9ddd10836589f95",
          "27fed1623da24f60a0649872dc1ba63d",
          "2abf0509cb954194bab5bdefad234325",
          "33737c7ce820415c856c2b53d4cdf24e",
          "4cb0ce9749e14553bee6cab556824cf1",
          "54053f58f9cd46e8822720eeca0df118",
          "58d9c84f1c864c14b45341c8dcd040f7",
          "5fc3115ae97b4752a16fa503b902edae",
          "600fba60c03542eeace29737f9aecb2f",
          "60736b6adac74751aad96103df0f3cad",
          "66526234049641d0801f5508a5e78f52",
          "744b285b359443c4bcd4e21fb7cc81e4",
          "7f82dbef1e174b41843bf0811237bba3",
          "84a81d0722bb40daa5857d4fd97b99b6",
          "8eeb3abb7231476f922878df3a6624ae",
          "8f8c6b9e2e7a431fb19e1ed541f246b3",
          "8fa8f01cf77543ca96478fe5bda59104",
          "96d3822430844f408c4ef4b4ef2f018b",
          "9825ecb27aa04f0598f8c49afe37a656",
          "9ca9fca8d88b4bfca8c488764b300cad",
          "a07f19905156449c865acf3206b58361",
          "a215fe02eaa24e11bc5452a32d2ed5f5",
          "aa85e33c42f54ea6a4964d1cd2238798",
          "b8d283537a4b45cfa9f3d90a393c929e",
          "ba480afdfc40455aafaff977ed22a978",
          "c5f50c443fce44e2bcf941568d94ee91",
          "c77db0f95c454e6fb6afd6e1477ab798",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "d324b6f62c4445b6a569811dee8ef729",
          "d52080d12627435cbdab75c880614c13",
          "d60ea71607514423aa0c18462c82a31d",
          "e1d0bcca9d2b45fbbc5b1cc74d0b06f3",
          "ebf5d02849ae48278662ff37ef0e0e0a",
          "ee41b5d0f2d9427f9f51535df798ab78",
          "f0962a5763c84ac9b4686a146e779c64",
          "f42b920b24a947dcaab6361237074138",
          "f96539664f1b48d9bddb14e87f7d3037"
        ],
        "min_legal_probability": 0.0960693359375
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 198,
        "selected": 13,
        "expected_selections": 17.35601806640625,
        "max_candidate_count": 13,
        "max_valid_feedback": 13,
        "selected_parent_ids": [
          "0c622edc36f849b68ee979a1d0b8b0eb",
          "47023527fbbe49728a30c839f39d3514",
          "4ab94677a2dd4c2f8fe6898bdf47cc8d",
          "61790d34a20144129ab0672d43f276ca",
          "7e3aa3756a6f4d99873ec12ca9793064",
          "a4ef8941f9ac4940bfa17f16bfad8f69",
          "aea4bb27f92d48e285cba505ebd60611",
          "c0c8a5966972403999cd82318d6b22b2",
          "ef407f8ecffb4126976fccc634f89f48"
        ],
        "min_legal_probability": 0.0
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 54,
      "native_child_limit_or_topk_gate": 108
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "e6f3f1afcf8b4a3693ce1a05c33e0629",
      "metric": 2.3658323759768236,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_003_circle_packing_rectangle_root_local035/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_003_circle_packing_rectangle_root_local035/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.3658323759768236,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "8889e9bae9cd9a93397591c4ca69983faec9421a33853fedd9086d2ecc5e5fad"
      },
      "completed_nodes": 228
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": -1.1363177065959462e-10,
    "delta_auc_vs_same_model_baseline": 18.69926118569856
  },
  {
    "run_id": "luna_004_circle_packing_rectangle_context_sd2",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "context_sd2",
    "state": "complete_budget_finalized",
    "job": "951669",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/circle_packing_rectangle_context_sd2.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.365832376149718,
    "auc_score_seconds": 33072.34576902465,
    "completed_budget": true,
    "best_observed_score": 2.365832376149718,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 233,
    "evaluated_candidates": 261,
    "invalid_or_censored_candidates": 28,
    "ordinary_decisions": 234,
    "selected_operator_counts": {
      "improve": 117,
      "evolution": 107,
      "fusion": 10
    },
    "first_operator_dispatch_seconds": {
      "evolution": 1350.274551153183,
      "fusion": 8377.65027999878,
      "improve": 970.020318031311
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 64,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 87,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 1,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 74,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 8
    },
    "branch_selection_hhi": 0.31423040397399377,
    "mean_p_posterior_best": 0.2515177930522169,
    "mean_p_legal_parent_best": 0.2334991194244124,
    "mean_p_global_parent_best": 0.2229434282351763,
    "mean_p_cross_mean_branch": 0.48673346103766024,
    "mean_p_near_optimal_parents": 0.6899706196581197,
    "mean_p_non_mean_best": 0.7484822069477831,
    "actual_legal_best_frequency": 0.2222222222222222,
    "actual_posterior_best_frequency": 0.28205128205128205,
    "actual_global_best_frequency": 0.21794871794871795,
    "actual_near_optimal_parent_frequency": 0.6452991452991453,
    "actual_cross_mean_branch_frequency": 0.452991452991453,
    "global_champion_available_frequency": 0.9487179487179487,
    "global_best_tied_decisions": 154,
    "legal_best_tied_decisions": 140,
    "posterior_best_tied_decisions": 72,
    "multi_candidate_decisions": 234,
    "llm_finished_calls": 875,
    "llm_successful_calls": 875,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "d065ff1ea3554da680d8814d7254c45a",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 11258878,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_004_circle_packing_rectangle_context_sd2",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_004_circle_packing_rectangle_context_sd2/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 1,
    "uncommitted_interrupted_candidates": 1,
    "invalid_candidates": 26,
    "non_draft_completed": 254,
    "non_draft_valid": 228,
    "pending_candidates": 1,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_004_circle_packing_rectangle_context_sd2/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 68.08576774881757,
    "all_decision_means": {
      "p_posterior_best": 0.2515177930522169,
      "p_legal_parent_best": 0.2334991194244124,
      "p_global_parent_best": 0.2229434282351763,
      "p_cross_mean_branch": 0.48673346103766024,
      "p_non_mean_best": 0.7484822069477831,
      "selected_posterior_best": 0.28205128205128205,
      "selected_legal_parent_best": 0.2222222222222222,
      "selected_global_parent_best": 0.21794871794871795,
      "selected_cross_mean_branch": 0.452991452991453,
      "minimum_legal_branch_probability": 0.006408430572248932
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 233,
        "selected": 8,
        "expected_selections": 6.8858642578125,
        "max_candidate_count": 9,
        "max_valid_feedback": 8,
        "selected_parent_ids": [
          "21af7eb70fa146a7a70c9edca2650103",
          "2712f75ef3e84c308e532dae1d6b4532",
          "2dde7edf5e8c4c43a45a2dc9097eb06c",
          "9587261859df44f9aa46fe3b282736b3",
          "a7a038389e934940b41f2e6078b86106",
          "f1166b29275c4362809a03c920e6c8d2"
        ],
        "min_legal_probability": 6.103515625e-05
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 233,
        "selected": 74,
        "expected_selections": 70.439453125,
        "max_candidate_count": 57,
        "max_valid_feedback": 71,
        "selected_parent_ids": [
          "171585a26e5f4c81adb467ab9d1316a4",
          "20544f81095d4b7abcc74a6d6f48ece1",
          "20dccaeb04e84570990d05a7cef36d68",
          "23b73bd7548444f6909f8f0889e946fa",
          "3608ac69b7164f2e8ecc517603b7522c",
          "3b212ddbc352408d84121319be2da30a",
          "3e22f2e66ceb4c5585bc3aaaeb2fc381",
          "485f3109330848c38cb6997a860dfc10",
          "4f6e683e6abb415fa36e1bb0f924340f",
          "5352611e469a410ca589953387d0cc83",
          "55787c5f37714d518a2d2e472bf5c081",
          "641bfdc7177d4ab6935191339256d724",
          "64956c5e2ca14cb0b64557c172216f81",
          "64bf6a32cd044a8ba5fdd10cd2bdba77",
          "6b983dd30b7c46b3bf2274e1af943f5f",
          "712561104bab40089e78bda2251df74e",
          "7708367e29854894b25aa904e843c725",
          "771ca7287d1441d082c6ab05d09653e7",
          "7c7338754f8d46d58d9f450475726e00",
          "87d5a63b16ff45158bddb3904e3ea323",
          "8b4e8a87eb2549a18d1c0d7161281e3e",
          "8f043542f3414c84a6b9cfed12915551",
          "96719f21e46c49e6b57d64f038614da6",
          "979832f6834c42e984c1658764587c2c",
          "9a4189c289ed48f19a2acad1bfd6c910",
          "9e96d6abb51b418d9ed67d0590325ab3",
          "ad7d1ce07a554dfbad26a4bd6419fd02",
          "ae8c59dc1c8545549a5322d6715c6ab7",
          "af2242df1b044abdbf52cc1dea0eedb0",
          "b2be1141a79545efb0819b953a83dc4b",
          "b7900c97ae354863975f49535f223292",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "c3947e6976804d45b076ac75c6ffdd31",
          "c697970ec02b4b6f882608d973e3429a",
          "c6dbe9abe81a42b89c5115b73f72fdd4",
          "cd70acca6f2b47b693ddb5a7ac118099",
          "de03537f41a8474aab31588ab3301920",
          "f1a0c541027d4a1c9d6eef55def28b30"
        ],
        "min_legal_probability": 0.0341796875
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 233,
        "selected": 1,
        "expected_selections": 2.38580322265625,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "3d902adca03347d794ddc0fe299de6d4"
        ],
        "min_legal_probability": 0.00311279296875
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 232,
        "selected": 64,
        "expected_selections": 70.85205078125,
        "max_candidate_count": 53,
        "max_valid_feedback": 64,
        "selected_parent_ids": [
          "0a96f08055a54d5687fc92c7963e294c",
          "0c6fd9ee94c941b294d29eb5b1ae47c0",
          "2c344d415eb64d6ca3eb546c62c05b2f",
          "35e4720190664dbbbeec21d45d1eec37",
          "3db60250a321424a8aa171df8121dd5d",
          "411f5e83f1264d59adac7a864f8d27d9",
          "43b5789c70034457820c79251c801cd9",
          "444fee8315c34172a3d665132897a92f",
          "5825fb5530d14e3a8a0d4bd2a90c8a6d",
          "5b119122f84349588d6aa84d171e7f89",
          "5b63a7c7161e40f3a844cc51dd170aad",
          "5cc5e88074554ab6a1a15d475680ef9b",
          "60fc627cc2714baeb20de4f1b4166862",
          "62597d8cfddc443dab3bebe1e00f23ac",
          "73fbef1495f64146994a7230be3045f2",
          "758b1aec3a6b42a0bc020d364a548dda",
          "7aa69c1bd9cb4bc99b4c97ab51f1d7cf",
          "7cd89e0b924b4db9afe95efd8bac7270",
          "9bcea1c325734f24b7453c6ec11c4594",
          "a804fa9027d74ed7b4767fe85232f544",
          "a99809cb4738408ba92ce688d6e50b83",
          "a9a3d955363e40ccb852853cdd76a150",
          "ab14079d9ca8462f80a1f52998aaec48",
          "c4ebf674468b445aa04c9edbeb55c8a4",
          "c97b97a2f85347f99dcd5748944daaf8",
          "ced7aea685d44bada96f58ec34687389",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "de9ecfe3901143df8a23dab62ba10f89",
          "dea58aa6f1c84d4586c54d8d9d160145",
          "eb614ca3921a4bb5be0f5a8cb7946c7f",
          "eb65978791d040ecac0ae3f24f27d52a",
          "ebe4ed1571944378828cfb40115a02dd",
          "f0f55950666c48debe0661960f9fdeb8",
          "f1d9f837e553432a9ba136f5bba59d23"
        ],
        "min_legal_probability": 0.03668212890625
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 214,
        "selected": 87,
        "expected_selections": 83.43682861328125,
        "max_candidate_count": 68,
        "max_valid_feedback": 84,
        "selected_parent_ids": [
          "00457237b930405980bc2bd2aedc606a",
          "0538f7580efe48c48944686d1d1dd030",
          "0b500f269bed44e784be5bb5655394ec",
          "0dc6f3859685476793677e71ffb7315d",
          "2a6daa4014b64adaa5a9781200d12be2",
          "2c16a076e12244638dce6d31ea707480",
          "3daeb5df77124267bcbf10e29335f270",
          "52e96a44995f439ea6a439153735b6e3",
          "5658fef2ea5a41f38e87ebb578a0048d",
          "5be6972e850e48cc9d32527bb8a2b3f9",
          "5c95deafbbc1498bab915b325209be9c",
          "5d66482d3c6d40419892092fa803fb98",
          "6a5a65b12fd848c5847b760a7f605087",
          "6b96cd3388814527935eafa46dcca2bf",
          "6f7744dfa03e46e183d0e74c73355906",
          "735152f259024e5d998f4d62a8c71a07",
          "7636bf91deb34e3c9f7be55e566f36bd",
          "7d326666f1bb4e5fa1324d6926eac557",
          "7e0128bd0c53484ab3f60b9fd15c8020",
          "7f3eb1e4cc684e8b8f6f23ae5a19605f",
          "87d0139316ab4fc099a88a2d4c78bc5a",
          "8c11df4770b042c9953b3fed1c3ecd84",
          "8e5e45dd9b574b119b8390092319623b",
          "a14bb128cbf24ce89e0ebbcc37fb225a",
          "a14f4eb5f5094c74ab292ab288f8c399",
          "a79fcf17bcf44e588cba1caa571c4057",
          "aea4bb27f92d48e285cba505ebd60611",
          "b0a59a2c0aeb46a48609ed4245652ae3",
          "b0ecbf5ad22842fba45cddbafdcea8b6",
          "be56578d87b641919787ef9c78c073cd",
          "caee9c97247a4ef898f0af3d911c8d8a",
          "cf14f694da294d70bce0e29201ea9b7e",
          "d41fbea34ad644c59a65a2cc0a30adda",
          "dc12c4b8cc01415393d3455a644a258d",
          "dd14a1c6af5540e9b129acad1ed80cb4",
          "de3a67c30f444ab5a0ca4d3112ab4880",
          "e11b47d189bb4909a850530d763948fa",
          "e984e56adce94d3c85c5c31d7ce26ef2",
          "ef14f4358d5b4d089684c72dc9195ae5",
          "f0d119ac02be456eabfe240e72c2cee7",
          "f0eea160e56743559eec4f57e1c654c3",
          "f3e1928294c6473db575443d47abd96d",
          "f711dc3da64f47dda56f897add81c720",
          "fa6caa55f8bb4c4da155db5419acb45e",
          "fb0a90e522b6435f8a4ec9a7f9f81e03",
          "ff350ca36bc842ab8ce975037325a9da"
        ],
        "min_legal_probability": 0.0030517578125
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 108,
      "native_child_limit_or_topk_gate": 94
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "f0eea160e56743559eec4f57e1c654c3",
      "metric": 2.365832376149718,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_004_circle_packing_rectangle_context_sd2/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_004_circle_packing_rectangle_context_sd2/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.365832376149718,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "0112b8067f63dcdccf49332b14cc440356fa047ff6e0d1a8b743a9f4d02e06a9"
      },
      "completed_nodes": 259
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": 5.926281687607116e-11,
    "delta_auc_vs_same_model_baseline": -9.016921113150602
  },
  {
    "run_id": "luna_005_circle_packing_rectangle_noise075",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "noise075",
    "state": "complete_budget_finalized",
    "job": "951670",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/circle_packing_rectangle_noise075.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.365832375952816,
    "auc_score_seconds": 33085.96093875189,
    "completed_budget": true,
    "best_observed_score": 2.365832375952816,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 94,
    "evaluated_candidates": 105,
    "invalid_or_censored_candidates": 11,
    "ordinary_decisions": 94,
    "selected_operator_counts": {
      "improve": 49,
      "evolution": 36,
      "fusion": 9
    },
    "first_operator_dispatch_seconds": {
      "evolution": 2109.4955625534058,
      "fusion": 8085.990902662277,
      "improve": 970.0229072570801
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 28,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 45,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 7,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 4,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 10
    },
    "branch_selection_hhi": 0.33657763693979176,
    "mean_p_posterior_best": 0.2487364424035904,
    "mean_p_legal_parent_best": 0.17120491190159576,
    "mean_p_global_parent_best": 0.1432754841256649,
    "mean_p_cross_mean_branch": 0.4771027260638298,
    "mean_p_near_optimal_parents": 0.5132154099484707,
    "mean_p_non_mean_best": 0.7512635575964096,
    "actual_legal_best_frequency": 0.19148936170212766,
    "actual_posterior_best_frequency": 0.2127659574468085,
    "actual_global_best_frequency": 0.1595744680851064,
    "actual_near_optimal_parent_frequency": 0.5638297872340425,
    "actual_cross_mean_branch_frequency": 0.5106382978723404,
    "global_champion_available_frequency": 0.925531914893617,
    "global_best_tied_decisions": 72,
    "legal_best_tied_decisions": 74,
    "posterior_best_tied_decisions": 43,
    "multi_candidate_decisions": 94,
    "llm_finished_calls": 360,
    "llm_successful_calls": 360,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "1bc146dc7c1f4700ad0626d75aa79c7b",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "748a31fb4bac487a83d02eb4682f22d1",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 3783232,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_005_circle_packing_rectangle_noise075",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_005_circle_packing_rectangle_noise075/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 2,
    "uncommitted_interrupted_candidates": 2,
    "invalid_candidates": 10,
    "non_draft_completed": 99,
    "non_draft_valid": 89,
    "pending_candidates": 2,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_005_circle_packing_rectangle_noise075/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 26.537366169814725,
    "all_decision_means": {
      "p_posterior_best": 0.2487364424035904,
      "p_legal_parent_best": 0.17120491190159576,
      "p_global_parent_best": 0.1432754841256649,
      "p_cross_mean_branch": 0.4771027260638298,
      "p_non_mean_best": 0.7512635575964096,
      "selected_posterior_best": 0.2127659574468085,
      "selected_legal_parent_best": 0.19148936170212766,
      "selected_global_parent_best": 0.1595744680851064,
      "selected_cross_mean_branch": 0.5106382978723404,
      "minimum_legal_branch_probability": 0.02660548433344415
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 85,
        "selected": 4,
        "expected_selections": 4.681640625,
        "max_candidate_count": 5,
        "max_valid_feedback": 4,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c",
          "32b3e0d3d73145a5887b07e9a390e7f2",
          "4f643f84b49f421d9a89e7a7dde99c83"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 94,
        "selected": 10,
        "expected_selections": 12.421142578125,
        "max_candidate_count": 10,
        "max_valid_feedback": 10,
        "selected_parent_ids": [
          "438b1709c5684f8f9515c26cf28ea4d6",
          "56893fbc1adb47a0837ddd48a5f0fccf",
          "569bb262087d4d7c8efed377af617c63",
          "64f7f9ac126543ed80ff6a2172dd0918",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "fef66f753e3a4681935bd808154afd8d"
        ],
        "min_legal_probability": 0.0032958984375
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 91,
        "selected": 7,
        "expected_selections": 5.95654296875,
        "max_candidate_count": 8,
        "max_valid_feedback": 7,
        "selected_parent_ids": [
          "3d902adca03347d794ddc0fe299de6d4",
          "4392a068cf4b4199b4a61d6c9f42be23",
          "70fc3cb0de844d468aac199a21cf4d89",
          "b04a736090e7477da312d2029cefca27",
          "fc2abbc85b1e4c728dd558a22b86b995"
        ],
        "min_legal_probability": 6.103515625e-05
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 92,
        "selected": 28,
        "expected_selections": 32.436767578125,
        "max_candidate_count": 20,
        "max_valid_feedback": 25,
        "selected_parent_ids": [
          "22d3d6780b214899a81f15c486c7d1c6",
          "317b5a764de3473f944573dcfcff5629",
          "3c3ccbc3c5214532833345c1db051b95",
          "46559732662c44fdb0d733ce3c3d7a79",
          "73809b0f733546a3b283369cbf526448",
          "9d941717cf6f4fac9865b29b9b3227a7",
          "a320b4ff9e6a496ba8c41e04246cfcb1",
          "b2b57fde22444866beb1eaeddee3264d",
          "bc17326bc8174a669b988f32ba6f7c62",
          "c314e37104984fdfb28044010cd0bb0c",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "f1fbbe402e8448de840078942f1801fb",
          "f459bf5140cc4a7d8ea0c8b4c0d4d761"
        ],
        "min_legal_probability": 0.0821533203125
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 91,
        "selected": 45,
        "expected_selections": 38.50390625,
        "max_candidate_count": 35,
        "max_valid_feedback": 43,
        "selected_parent_ids": [
          "016dcc6714c14a92abfb14dd272b3b1a",
          "1576e8cf8a7e45a9bb36ec7092f8b16e",
          "1bda5319045446c89a5bb3b0392207d9",
          "26ce7798edeb439e9d52f64ebab5a7cd",
          "4887ef7172174f4db9b17d1baf0f60f5",
          "50f85cdf8e5445b8bf64000508e0d767",
          "5e094b752bf5452b955fc362a2ff8237",
          "5e8e9697e85443a4bea4bcd1ee20d0b5",
          "65b1f9ff16ba426d9340a3c82ec254d2",
          "685d8de451ce4163a273092877ba71c0",
          "795461a0a0f441a18cee5814e96d9e00",
          "7ca0fb1c0d2f4d4f87e85ffdc0f4af86",
          "96aa1710f6214a0cb561674441e27102",
          "aea4bb27f92d48e285cba505ebd60611",
          "b1fb1b19d78a4f6ba778f4435f0a64bb",
          "cc968de0be8a40c9a1a593db4ef023bb",
          "f05b43faa2da494681a5e30d10d29219",
          "f69c932c8ce641ff9e80dfaf6a012e95"
        ],
        "min_legal_probability": 0.0054931640625
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 23,
      "native_child_limit_or_topk_gate": 3
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "566ee0d3c6144fea8b4c9389bdc649ec",
      "metric": 2.365832375952816,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_005_circle_packing_rectangle_noise075/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_005_circle_packing_rectangle_noise075/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.365832375952816,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "3bf3dd38e4d21801efe1996cc4bf4fae5b0409120805da92a2cd695873aaf6fa"
      },
      "completed_nodes": 104
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": -1.37639233344089e-10,
    "delta_auc_vs_same_model_baseline": 4.598248614085605
  },
  {
    "run_id": "luna_006_circle_packing_rectangle_rating_neutral075",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "rating_neutral075",
    "state": "complete_budget_finalized",
    "job": "951671",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/circle_packing_rectangle_rating_neutral075.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.365832376211434,
    "auc_score_seconds": 33094.60789512707,
    "completed_budget": true,
    "best_observed_score": 2.365832376211434,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 67,
    "evaluated_candidates": 78,
    "invalid_or_censored_candidates": 11,
    "ordinary_decisions": 67,
    "selected_operator_counts": {
      "improve": 53,
      "evolution": 10,
      "fusion": 4
    },
    "first_operator_dispatch_seconds": {
      "evolution": 4593.933027505875,
      "fusion": 11240.420492887497,
      "improve": 970.0332410335541
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 14,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 29,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 1,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 9,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 14
    },
    "branch_selection_hhi": 0.29293829360659385,
    "mean_p_posterior_best": 0.25764305911847013,
    "mean_p_legal_parent_best": 0.09144068475979478,
    "mean_p_global_parent_best": 0.0594546189948694,
    "mean_p_cross_mean_branch": 0.5662741589902053,
    "mean_p_near_optimal_parents": 0.5167555168493471,
    "mean_p_non_mean_best": 0.7423569408815298,
    "actual_legal_best_frequency": 0.11940298507462686,
    "actual_posterior_best_frequency": 0.2537313432835821,
    "actual_global_best_frequency": 0.11940298507462686,
    "actual_near_optimal_parent_frequency": 0.5373134328358209,
    "actual_cross_mean_branch_frequency": 0.5223880597014925,
    "global_champion_available_frequency": 0.8656716417910447,
    "global_best_tied_decisions": 19,
    "legal_best_tied_decisions": 19,
    "posterior_best_tied_decisions": 4,
    "multi_candidate_decisions": 67,
    "llm_finished_calls": 291,
    "llm_successful_calls": 291,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "53569ff128c44e99ba55d6b33d7b16d7",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "3191e18829db448ea5bffbff09d790e6",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 2712300,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_006_circle_packing_rectangle_rating_neutral075",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_006_circle_packing_rectangle_rating_neutral075/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 2,
    "uncommitted_interrupted_candidates": 2,
    "invalid_candidates": 10,
    "non_draft_completed": 72,
    "non_draft_valid": 62,
    "pending_candidates": 2,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_006_circle_packing_rectangle_rating_neutral075/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 19.299902668956165,
    "all_decision_means": {
      "p_posterior_best": 0.25764305911847013,
      "p_legal_parent_best": 0.09144068475979478,
      "p_global_parent_best": 0.0594546189948694,
      "p_cross_mean_branch": 0.5662741589902053,
      "p_non_mean_best": 0.7423569408815298,
      "selected_posterior_best": 0.2537313432835821,
      "selected_legal_parent_best": 0.11940298507462686,
      "selected_global_parent_best": 0.11940298507462686,
      "selected_cross_mean_branch": 0.5223880597014925,
      "minimum_legal_branch_probability": 0.009687281366604478
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 65,
        "selected": 9,
        "expected_selections": 6.7821044921875,
        "max_candidate_count": 8,
        "max_valid_feedback": 9,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c",
          "58ff0d87e30d42f9a5709975eeaaab90",
          "a056ed8810e34b2cbb859da91225a1d4",
          "b08eab52ae514a80bc6255e4251f27d8"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 67,
        "selected": 14,
        "expected_selections": 17.99334716796875,
        "max_candidate_count": 12,
        "max_valid_feedback": 13,
        "selected_parent_ids": [
          "01bbf2173e764623b2435f7d9362f1f2",
          "31df0b5009cf4a76b11d45ade79d7ac4",
          "50a82ffb211a403484397fa208168bc3",
          "53ecfbe9cea8448d98f6bdb0a0ea97f0",
          "8da9395fa2b84052b8e390960dc78e94",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "cb776e1fa711421d8a503b7e81e05480",
          "e20d89036cba48e59f71c7c8328a4e64",
          "ed92280a1851409d806f58e483569fa2"
        ],
        "min_legal_probability": 0.082763671875
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 66,
        "selected": 1,
        "expected_selections": 0.90325927734375,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "3d902adca03347d794ddc0fe299de6d4"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 63,
        "selected": 14,
        "expected_selections": 14.75372314453125,
        "max_candidate_count": 14,
        "max_valid_feedback": 14,
        "selected_parent_ids": [
          "0eb58d664c704d57869cdafbeb8dbd2c",
          "496579b7753a4787b84404ec871138cb",
          "6b3b8a909e9040e399ec5e3dfb3d2a43",
          "73cac9ab529a48e88176389b300d4a7c",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "f043e23f44884f34b94a4156230783bb",
          "f6b5646da2734baa8f5e21943d2020c2",
          "fe6e6cdd964f497bba3e2fdb76b6f670"
        ],
        "min_legal_probability": 0.02105712890625
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 65,
        "selected": 29,
        "expected_selections": 26.56756591796875,
        "max_candidate_count": 20,
        "max_valid_feedback": 25,
        "selected_parent_ids": [
          "221d45fe696f42d3936c6d9142ae2500",
          "3a39b1a8d0624aa291e6ed2d9aabf452",
          "5b948a7ef0ac4c1b874e2650400484cb",
          "5f91de1a00d94cb88d2a4473373145cb",
          "6d28564399e1485a947a4fafb99f7666",
          "74a30404f7f1413380044ed1a2df7848",
          "7d53349e8cd245f58f546d8f6a7a9a52",
          "85a365e1b419462d8e0a596f22c57eb5",
          "8d6427aac2d64cc49cacfdc6b3351e56",
          "8d85960dc828472c9af0b8d526342728",
          "a4f88b24fc8f4ba1a2011c966704a237",
          "aea4bb27f92d48e285cba505ebd60611",
          "f6b8479831f24d7d9b5aab8c5c0fdd7b"
        ],
        "min_legal_probability": 0.08026123046875
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 14
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "27cefc0fdbbc492cb7a9a198fd87677f",
      "metric": 2.365832376211434,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_006_circle_packing_rectangle_rating_neutral075/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_006_circle_packing_rectangle_rating_neutral075/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.365832376211434,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "7798176301020e2c9b21c4e405265200a83bbcb08a7a212aef6d4f07b2ad8a68"
      },
      "completed_nodes": 77
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": 1.2097878254735406e-10,
    "delta_auc_vs_same_model_baseline": 13.245204989267222
  },
  {
    "run_id": "luna_007_kissing_number_d11_aq04",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "aq04",
    "state": "complete_budget_finalized",
    "job": "951672",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/kissing_number_d11_aq04.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 465.0,
    "auc_score_seconds": 5381912.743860006,
    "completed_budget": true,
    "best_observed_score": 465.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 64,
    "evaluated_candidates": 72,
    "invalid_or_censored_candidates": 8,
    "ordinary_decisions": 65,
    "selected_operator_counts": {
      "improve": 31,
      "evolution": 24,
      "fusion": 10
    },
    "first_operator_dispatch_seconds": {
      "evolution": 4129.05416893959,
      "fusion": 8060.022551059723,
      "improve": 1452.9409852027893
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 10,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 32,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 2,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 18,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 3
    },
    "branch_selection_hhi": 0.3457988165680474,
    "mean_p_posterior_best": 0.2804772010216346,
    "mean_p_legal_parent_best": 0.10918813852163461,
    "mean_p_global_parent_best": 0.07846397986778846,
    "mean_p_cross_mean_branch": 0.4634587214543269,
    "mean_p_near_optimal_parents": 0.09766470102163462,
    "mean_p_non_mean_best": 0.7195227989783654,
    "actual_legal_best_frequency": 0.1076923076923077,
    "actual_posterior_best_frequency": 0.3230769230769231,
    "actual_global_best_frequency": 0.07692307692307693,
    "actual_near_optimal_parent_frequency": 0.07692307692307693,
    "actual_cross_mean_branch_frequency": 0.3384615384615385,
    "global_champion_available_frequency": 0.8769230769230769,
    "global_best_tied_decisions": 0,
    "legal_best_tied_decisions": 0,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 65,
    "llm_finished_calls": 254,
    "llm_successful_calls": 254,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "946ee5c45ec745b5a512c8c68e9a1912",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "f85e96617de64736a744f43539f6d710",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "acbdb6518be4432c95c0113beaa26a3a",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 2265113,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_007_kissing_number_d11_aq04",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_007_kissing_number_d11_aq04/20261014_115618_luna_007_kissing_number_d11_aq04/logs",
    "timeout_candidates": 1,
    "censored_candidates": 3,
    "interrupted_candidates": 3,
    "uncommitted_interrupted_candidates": 3,
    "invalid_candidates": 8,
    "non_draft_completed": 67,
    "non_draft_valid": 59,
    "pending_candidates": 3,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_007_kissing_number_d11_aq04/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 18.629605700481314,
    "all_decision_means": {
      "p_posterior_best": 0.2804772010216346,
      "p_legal_parent_best": 0.10918813852163461,
      "p_global_parent_best": 0.07846397986778846,
      "p_cross_mean_branch": 0.4634587214543269,
      "p_non_mean_best": 0.7195227989783654,
      "selected_posterior_best": 0.3230769230769231,
      "selected_legal_parent_best": 0.1076923076923077,
      "selected_global_parent_best": 0.07692307692307693,
      "selected_cross_mean_branch": 0.3384615384615385,
      "minimum_legal_branch_probability": 0.016545222355769232
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 64,
        "selected": 2,
        "expected_selections": 1.0494384765625,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a",
          "a8f8dc2f694c4f35a07f27aa7ee01a45"
        ],
        "min_legal_probability": 0.0001220703125
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 63,
        "selected": 3,
        "expected_selections": 4.4306640625,
        "max_candidate_count": 4,
        "max_valid_feedback": 3,
        "selected_parent_ids": [
          "ac7dc2c54bbf4d258673eea28444f22c",
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.0001220703125
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 62,
        "selected": 32,
        "expected_selections": 32.02880859375,
        "max_candidate_count": 20,
        "max_valid_feedback": 27,
        "selected_parent_ids": [
          "00828f48f12041aba517b7895c28ec97",
          "104f8da4267643d79093989f3e1782e6",
          "1a3f0d96770a4859850694a7c3ccc643",
          "2dd3602f03c042b5b8d429c4966ff2d9",
          "421bb75972ad4373a3b3fdf10c8162db",
          "462a36d623eb4304ac8503eb5a682b1b",
          "5bc8f63c026e417d8b44ad3bdc7e0b61",
          "78a8e72895224c4285ef94b79c0eab51",
          "7d48d5f596b24ba185435422b25b4010",
          "8d9550069be1404389bae4ec3e914421",
          "a71d446572f947959b28d01bbe690059",
          "b970446104074e2fbd6f511ca6e549b0",
          "c85c5d62892a4d2e83db8d183afabfd4",
          "d8d1fa7569b54f5e88b0a4e18c96f312",
          "da1e3b3c38df496f9a3907c5ce7a2f47",
          "db1c4db9fe534a8297a4096b0abbec50"
        ],
        "min_legal_probability": 0.028564453125
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 62,
        "selected": 18,
        "expected_selections": 15.7835693359375,
        "max_candidate_count": 14,
        "max_valid_feedback": 17,
        "selected_parent_ids": [
          "24206ed5f9b842dea37d8c5277b7f112",
          "270b6924e94c4872a2a2383008e94570",
          "600f73f2f8814f2b8c759ae326a4ba8e",
          "9babee8e21af43c7afe2d4999500af7a",
          "c9a3bcfdce9346a8bfcab9ed311a1565",
          "d1c21bb6609d495e948412fad09372ea",
          "ebfb353944c1428ba104555f61eca803",
          "f74997777d9f4b20bd409eead83e45c0",
          "f9c2929132244f01a85245aaf76be2f4"
        ],
        "min_legal_probability": 0.0291748046875
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 63,
        "selected": 10,
        "expected_selections": 11.70751953125,
        "max_candidate_count": 9,
        "max_valid_feedback": 10,
        "selected_parent_ids": [
          "3b33fa1e5b714338af13669009c11b0f",
          "767af59ffea7460b9ba0e756c243e37e",
          "81922d10b80644aea15de96b272334d8",
          "aa5b06e38c7840dd8c54b3015bb88bc8",
          "b4b475545d504cc6ab061a196c33777e",
          "c06e8fbcfe844b4889f8298c4921e77d"
        ],
        "min_legal_probability": 0.02923583984375
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 8
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "7d48d5f596b24ba185435422b25b4010",
      "metric": 465.0,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_007_kissing_number_d11_aq04/20261014_115618_luna_007_kissing_number_d11_aq04/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_007_kissing_number_d11_aq04/20261014_115618_luna_007_kissing_number_d11_aq04/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 465,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "8cd156d77e081676b8d873568669e5cf6ebb382cb707e297949a5f297bd3cb71"
      },
      "completed_nodes": 72
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 0.0,
    "delta_auc_vs_same_model_baseline": 0.0
  },
  {
    "run_id": "luna_008_kissing_number_d11_root_sd3",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "root_sd3",
    "state": "complete_budget_finalized",
    "job": "951673",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/kissing_number_d11_root_sd3.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 506.0,
    "auc_score_seconds": 6323736.224716425,
    "completed_budget": true,
    "best_observed_score": 506.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 90,
    "evaluated_candidates": 101,
    "invalid_or_censored_candidates": 11,
    "ordinary_decisions": 90,
    "selected_operator_counts": {
      "improve": 54,
      "evolution": 28,
      "fusion": 8
    },
    "first_operator_dispatch_seconds": {
      "evolution": 1813.494027853012,
      "fusion": 8245.938053131104,
      "improve": 1453.0165793895721
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 66,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 4,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 6,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 7,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 7
    },
    "branch_selection_hhi": 0.5562962962962962,
    "mean_p_posterior_best": 0.3583306206597222,
    "mean_p_legal_parent_best": 0.3412102593315972,
    "mean_p_global_parent_best": 0.2459343804253472,
    "mean_p_cross_mean_branch": 0.193585205078125,
    "mean_p_near_optimal_parents": 0.380377197265625,
    "mean_p_non_mean_best": 0.6416693793402778,
    "actual_legal_best_frequency": 0.26666666666666666,
    "actual_posterior_best_frequency": 0.3333333333333333,
    "actual_global_best_frequency": 0.2111111111111111,
    "actual_near_optimal_parent_frequency": 0.26666666666666666,
    "actual_cross_mean_branch_frequency": 0.17777777777777778,
    "global_champion_available_frequency": 0.7222222222222222,
    "global_best_tied_decisions": 29,
    "legal_best_tied_decisions": 25,
    "posterior_best_tied_decisions": 7,
    "multi_candidate_decisions": 90,
    "llm_finished_calls": 350,
    "llm_successful_calls": 350,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "b5acbcbd7c70458184812210e9666487",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 2892143,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_008_kissing_number_d11_root_sd3",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_008_kissing_number_d11_root_sd3/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 1,
    "uncommitted_interrupted_candidates": 1,
    "invalid_candidates": 9,
    "non_draft_completed": 94,
    "non_draft_valid": 85,
    "pending_candidates": 1,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_008_kissing_number_d11_root_sd3/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 26.13705874395886,
    "all_decision_means": {
      "p_posterior_best": 0.3583306206597222,
      "p_legal_parent_best": 0.3412102593315972,
      "p_global_parent_best": 0.2459343804253472,
      "p_cross_mean_branch": 0.193585205078125,
      "p_non_mean_best": 0.6416693793402778,
      "selected_posterior_best": 0.3333333333333333,
      "selected_legal_parent_best": 0.26666666666666666,
      "selected_global_parent_best": 0.2111111111111111,
      "selected_cross_mean_branch": 0.17777777777777778,
      "minimum_legal_branch_probability": 0.023583306206597224
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 90,
        "selected": 6,
        "expected_selections": 2.9647216796875,
        "max_candidate_count": 7,
        "max_valid_feedback": 6,
        "selected_parent_ids": [
          "51bec973fb9f4b9883c735bf4f019122",
          "61b8e443b60d4fd2bf27333cf08546c6",
          "a6cc5af4f48544c69eb65b065442f25a",
          "e3b0feb534194da9a18246def3c51260"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 79,
        "selected": 7,
        "expected_selections": 8.68243408203125,
        "max_candidate_count": 8,
        "max_valid_feedback": 7,
        "selected_parent_ids": [
          "209703ee430a47fc89c30bedcadedf28",
          "289812a49d134d839ca2000d6a1b9ca6",
          "6c37f8c7df2c4ae8b7588911b02943fe",
          "f15072a9524a42f0afde7cfaf7742b91",
          "ffb0cbbd2f454610b05a8fa05496ae96"
        ],
        "min_legal_probability": 0.00665283203125
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 88,
        "selected": 4,
        "expected_selections": 8.156494140625,
        "max_candidate_count": 4,
        "max_valid_feedback": 4,
        "selected_parent_ids": [
          "48e2103f0cbd4408bce8da0b04a675d2",
          "b970446104074e2fbd6f511ca6e549b0"
        ],
        "min_legal_probability": 0.00048828125
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 89,
        "selected": 7,
        "expected_selections": 6.3045654296875,
        "max_candidate_count": 8,
        "max_valid_feedback": 7,
        "selected_parent_ids": [
          "08ed81fc7b6945a4975dfe20d08ee740",
          "17907e389f674b0e8af1fd0b43e9cb25",
          "270b6924e94c4872a2a2383008e94570",
          "3e03331862e24184801bf710506c4400"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 74,
        "selected": 66,
        "expected_selections": 63.89178466796875,
        "max_candidate_count": 48,
        "max_valid_feedback": 61,
        "selected_parent_ids": [
          "09e9e602156c4bb398fe8dd89fc5f106",
          "1430e28247484f91a1731afa61219791",
          "19eef082c12e45e69c09e630e0ca17ae",
          "26d64fd44db3454796dfcd736c024fa9",
          "2bce41993cff455998529e41fd2aaa50",
          "2f64984d728f4334b6a499281b759366",
          "33483142312145fbaa12f349115c67aa",
          "34b2e36a66e947b599d4f02e8d443af3",
          "376c1e414ecc4a67bfe00673a3522f98",
          "3994c413953f4b4b97ddd45649c91ddb",
          "507df16fa8954464914e9935cd3fa362",
          "509eb998c8634281a246f2aa6b1cf107",
          "5360ab5da17e4611b3cae9a6684d561d",
          "55c76e34b78249278313959445193e65",
          "57fced8b3ac4437d956aaae042ee71b8",
          "58a9f4bc89354908a8079494491bb8f2",
          "596d4e2c49384bf8806226af51da82bc",
          "5f93c231b685462cb341f86baac9c51e",
          "60a86e302b1f44ceb5c67d5fb27f196a",
          "6b614f0f12ff4ceeb1d85f87ad136c87",
          "71a6a4f9bab94d038249f22be61752db",
          "7671ff2e77a34a979dc2f3230c221c16",
          "7eefd433055744c5929ba462fd4fbcf8",
          "81922d10b80644aea15de96b272334d8",
          "9033e771fc6f41f794b8bb48e1740c24",
          "a48be26cd2294d548aba4b256990fbc7",
          "a62a634531cd4cba88567fc34f3835b6",
          "cd0c0f4981474ab6bbd04fe702e4129b",
          "d4b277fc7e56400f969e3b83e29aafcf",
          "eaf0796eb8c64e3b8972e391a8872dca",
          "fc92617765b447f58811feaf5cec8947",
          "feb595add28e401bb91343fe39f53a2c",
          "ffae13ba429644a28c5263e18473b05d"
        ],
        "min_legal_probability": 0.25897216796875
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 46,
      "native_child_limit_or_topk_gate": 1
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "b8990ad1b2314d4bb1c4837a4b665e4c",
      "metric": 506.0,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_008_kissing_number_d11_root_sd3/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_008_kissing_number_d11_root_sd3/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 506,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "13477732860f358a9bd0a91408c62e85753c2136ebd49176ae198e18b1c21cab"
      },
      "completed_nodes": 99
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 41.0,
    "delta_auc_vs_same_model_baseline": 941823.4808564186
  },
  {
    "run_id": "luna_009_kissing_number_d11_root_local035",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "root_local035",
    "state": "complete_budget_finalized",
    "job": "951674",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/kissing_number_d11_root_local035.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 316.0,
    "auc_score_seconds": 4151005.484299183,
    "completed_budget": true,
    "best_observed_score": 316.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 77,
    "evaluated_candidates": 85,
    "invalid_or_censored_candidates": 8,
    "ordinary_decisions": 76,
    "selected_operator_counts": {
      "improve": 35,
      "evolution": 32,
      "fusion": 9
    },
    "first_operator_dispatch_seconds": {
      "evolution": 4149.897577047348,
      "fusion": 8792.552183389664,
      "improve": 1453.0163130760193
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 8,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 3,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 53,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 2,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 10
    },
    "branch_selection_hhi": 0.51696675900277,
    "mean_p_posterior_best": 0.2526421797902961,
    "mean_p_legal_parent_best": 0.15099696109169408,
    "mean_p_global_parent_best": 0.11948515239514802,
    "mean_p_cross_mean_branch": 0.21145228335731908,
    "mean_p_near_optimal_parents": 0.27872667814555924,
    "mean_p_non_mean_best": 0.747357820209704,
    "actual_legal_best_frequency": 0.14473684210526316,
    "actual_posterior_best_frequency": 0.15789473684210525,
    "actual_global_best_frequency": 0.11842105263157894,
    "actual_near_optimal_parent_frequency": 0.23684210526315788,
    "actual_cross_mean_branch_frequency": 0.32894736842105265,
    "global_champion_available_frequency": 0.881578947368421,
    "global_best_tied_decisions": 27,
    "legal_best_tied_decisions": 13,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 76,
    "llm_finished_calls": 291,
    "llm_successful_calls": 291,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "7936d860c3b04dcca4ea97ceefac0266",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "788492d72420408887a2bc0c0a8c4307",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 2467706,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_009_kissing_number_d11_root_local035",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_009_kissing_number_d11_root_local035/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 2,
    "uncommitted_interrupted_candidates": 2,
    "invalid_candidates": 7,
    "non_draft_completed": 79,
    "non_draft_valid": 72,
    "pending_candidates": 2,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_009_kissing_number_d11_root_local035/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 21.966251497582444,
    "all_decision_means": {
      "p_posterior_best": 0.2526421797902961,
      "p_legal_parent_best": 0.15099696109169408,
      "p_global_parent_best": 0.11948515239514802,
      "p_cross_mean_branch": 0.21145228335731908,
      "p_non_mean_best": 0.747357820209704,
      "selected_posterior_best": 0.15789473684210525,
      "selected_legal_parent_best": 0.14473684210526316,
      "selected_global_parent_best": 0.11842105263157894,
      "selected_cross_mean_branch": 0.32894736842105265,
      "minimum_legal_branch_probability": 0.02344713712993421
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 75,
        "selected": 53,
        "expected_selections": 59.62890625,
        "max_candidate_count": 42,
        "max_valid_feedback": 51,
        "selected_parent_ids": [
          "0193836d537046f7acdd4d4ed9a100a8",
          "1014fdcb9f5a4599a0100d714427aed2",
          "17dde0cfa08c4fb8aedfe32598f0920e",
          "2044eeca48fb44d88a148fbb3ebcfa0d",
          "27c68665637847748a9561ca7578f8e6",
          "2a5ef9b6066d41b09a05c97eae986f8f",
          "390ecae7196c4987b835201923625524",
          "43edfb27988b4450b3819548e2a721a7",
          "4e7525b6dd374865aa883ab46870658e",
          "54a7da745a694955be8eee55b1c6139f",
          "559a4bbc0d1142289e19569ca468f8ba",
          "657ef9c2aeb44154a501e763b7017fa7",
          "6ee37938bcec485f9a55cf7559d1a3f7",
          "79253493db154432b8ece5f4e5ecbb69",
          "815db8457b1f4a6d8a1d8f310ee7e883",
          "92da35759d4a4a18ba8c46814a643d14",
          "a6cc5af4f48544c69eb65b065442f25a",
          "a86b84c4d3d64f00b1d70eb1c4c894ce",
          "acdbb2aefd954c1698badc692e829681",
          "b231081cf9634d2e99981adb4d7b7229",
          "baf700b980a14209a7ae27754ce728a2",
          "c35eda39434c43eaafb2465ac7df472f",
          "d83ab9ab471949f1b13a32c341b07d66",
          "db6f70f450ad4b83aae845dc9c42066a",
          "e031d5f3e6b54c3c859bfb724236a9be",
          "efd93bf407ea4b55a8a9f1552383c645",
          "feddc9ce07dd48439f0a88bfaed05f90"
        ],
        "min_legal_probability": 0.150146484375
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 74,
        "selected": 10,
        "expected_selections": 6.20550537109375,
        "max_candidate_count": 10,
        "max_valid_feedback": 10,
        "selected_parent_ids": [
          "0375e841f69f490d82a916194be6bdd3",
          "05856aac8eaf434e83bb00bea074f641",
          "477ace964d1946629f3284a2403f36e4",
          "6a38994efe0b4e2ebf8561049ca0d534",
          "f15072a9524a42f0afde7cfaf7742b91",
          "f5c90c0938954e68931de0b1c17ee730"
        ],
        "min_legal_probability": 0.0030517578125
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 73,
        "selected": 3,
        "expected_selections": 3.91204833984375,
        "max_candidate_count": 4,
        "max_valid_feedback": 3,
        "selected_parent_ids": [
          "531437c373754416969f42b53c985cc3",
          "97e280aee2b24be384b3af4d46ce6439",
          "b970446104074e2fbd6f511ca6e549b0"
        ],
        "min_legal_probability": 0.00079345703125
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 74,
        "selected": 2,
        "expected_selections": 3.36767578125,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "270b6924e94c4872a2a2383008e94570"
        ],
        "min_legal_probability": 0.00018310546875
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 74,
        "selected": 8,
        "expected_selections": 2.8858642578125,
        "max_candidate_count": 5,
        "max_valid_feedback": 6,
        "selected_parent_ids": [
          "45603a5a1be44196a287674e8ac8f6c3",
          "65230c458ff147d4b40d4823e132f7db",
          "81922d10b80644aea15de96b272334d8",
          "cf3da15edc7640f69e378771a9dea146",
          "dcac0076b1c2463295700d21e9c518ce"
        ],
        "min_legal_probability": 0.0001220703125
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 23
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "50585d6d16bc44ac903cbc917b5e5f61",
      "metric": 316.0,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_009_kissing_number_d11_root_local035/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_009_kissing_number_d11_root_local035/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 316,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "90bf4158d18fc9a41f095b601b4e2c4584d0c397d18d26efda52f531dea12ef5"
      },
      "completed_nodes": 84
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": -149.0,
    "delta_auc_vs_same_model_baseline": -1230907.2595608234
  },
  {
    "run_id": "luna_010_kissing_number_d11_context_sd2",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "context_sd2",
    "state": "finished",
    "job": "951684",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/kissing_number_d11_context_sd2.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 535.0,
    "auc_score_seconds": 5425111.732354879,
    "completed_budget": true,
    "best_observed_score": 535.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 71,
    "evaluated_candidates": 148,
    "invalid_or_censored_candidates": 77,
    "ordinary_decisions": 138,
    "selected_operator_counts": {
      "improve": 109,
      "evolution": 23,
      "fusion": 6
    },
    "first_operator_dispatch_seconds": {
      "evolution": 3168.4163978099823,
      "fusion": 8783.364506959915,
      "improve": 1453.0142664909363
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 27,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 51,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 17,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 30,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 13
    },
    "branch_selection_hhi": 0.24616677168662043,
    "mean_p_posterior_best": 0.4096113564311594,
    "mean_p_legal_parent_best": 0.38800402655117755,
    "mean_p_global_parent_best": 0.19427667147871377,
    "mean_p_cross_mean_branch": 0.4166839157325634,
    "mean_p_near_optimal_parents": 0.3587120166723279,
    "mean_p_non_mean_best": 0.5903886435688406,
    "actual_legal_best_frequency": 0.41304347826086957,
    "actual_posterior_best_frequency": 0.4492753623188406,
    "actual_global_best_frequency": 0.2391304347826087,
    "actual_near_optimal_parent_frequency": 0.391304347826087,
    "actual_cross_mean_branch_frequency": 0.391304347826087,
    "global_champion_available_frequency": 0.47101449275362317,
    "global_best_tied_decisions": 6,
    "legal_best_tied_decisions": 13,
    "posterior_best_tied_decisions": 21,
    "multi_candidate_decisions": 138,
    "llm_finished_calls": 678,
    "llm_successful_calls": 282,
    "llm_failed_calls": 396,
    "recovery_count": 1,
    "recoveries": [
      {
        "run_id": "luna_010_kissing_number_d11_context_sd2",
        "old_job": "951679",
        "slurm_terminal_evidence": "951679|FAILED\n",
        "pending": 0,
        "checkpoint_elapsed_seconds": 1727.3430507183075,
        "resumed_active_seconds": 1759,
        "remaining_seconds": 12641,
        "receipt": "[workspace]/experiment/bo_paper_aligned_iteration_20261014/submission_recovery001.json",
        "reason": "cn133 lacks the /home alias; use the canonical path to the existing same provider home in these child jobs only"
      }
    ],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 1,
    "infrastructure_recoveries": [
      {
        "run_id": "luna_010_kissing_number_d11_context_sd2",
        "old_job": "951679",
        "slurm_terminal_evidence": "951679|FAILED\n",
        "pending": 0,
        "checkpoint_elapsed_seconds": 1727.3430507183075,
        "resumed_active_seconds": 1759,
        "remaining_seconds": 12641,
        "receipt": "[workspace]/experiment/bo_paper_aligned_iteration_20261014/submission_recovery001.json",
        "reason": "cn133 lacks the /home alias; use the canonical path to the existing same provider home in these child jobs only"
      }
    ],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 2367705,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_010_kissing_number_d11_context_sd2",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_010_kissing_number_d11_context_sd2/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 74,
    "non_draft_completed": 140,
    "non_draft_valid": 66,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 38.92753429951319,
    "all_decision_means": {
      "p_posterior_best": 0.4096113564311594,
      "p_legal_parent_best": 0.38800402655117755,
      "p_global_parent_best": 0.19427667147871377,
      "p_cross_mean_branch": 0.4166839157325634,
      "p_non_mean_best": 0.5903886435688406,
      "selected_posterior_best": 0.4492753623188406,
      "selected_legal_parent_best": 0.41304347826086957,
      "selected_global_parent_best": 0.2391304347826087,
      "selected_cross_mean_branch": 0.391304347826087,
      "minimum_legal_branch_probability": 0.12974658910778986
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 113,
        "selected": 17,
        "expected_selections": 15.39703369140625,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a",
          "f5e86ed279214b6abc9f144ccaf4f153"
        ],
        "min_legal_probability": 0.0001220703125
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 114,
        "selected": 13,
        "expected_selections": 12.8731689453125,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "eb0d6d427f79435da0f4fce60a1059c8",
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 124,
        "selected": 51,
        "expected_selections": 57.947021484375,
        "max_candidate_count": 35,
        "max_valid_feedback": 39,
        "selected_parent_ids": [
          "07df49324ff440efb988661cb1f9f584",
          "1ab57aaf667543669ba3e6b529375925",
          "299064a4531248e0913e284cb0a620ce",
          "5613ae15fb16422cab0f4dde945b0226",
          "578f6df479364505bf891737a06604b3",
          "593287bc51e346c59ba0b809b60c08db",
          "5fef275805f0461882f7b08996c28fcd",
          "717f009755064bba9da6c4386f29fcdd",
          "7ba2540372b14bc49ff1fd3979aec83c",
          "97c640a7dc2b48c392db169a64f1dbde",
          "98274e10419b4d8b913f33c21f47b22d",
          "a6c34676afa34d27bf53ca45a22090ee",
          "b005627480144258a03e0347ed6c15cc",
          "b04855d0fd9048798d94de1b2f2c010f",
          "b590cfbf55104230921697c6748ee21b",
          "b677e7fd98874202af29c73a68388776",
          "b970446104074e2fbd6f511ca6e549b0",
          "bb289e26fa4c4576b35bde14c70f98d1",
          "ca68c8f5b7dc48b1a1a2f16a0ef6f960",
          "ea63a6a97e0940e6af338d23860ed062",
          "ed4d9261bcc34668b3a2b9fb802dc8d5",
          "ef6eeed96b9548e590a9d33cbd57ab3b",
          "fd131cd65b434628b2c7ade2c0e012f1"
        ],
        "min_legal_probability": 0.01397705078125
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 103,
        "selected": 30,
        "expected_selections": 28.898681640625,
        "max_candidate_count": 11,
        "max_valid_feedback": 14,
        "selected_parent_ids": [
          "11fc0f3e749647c19a6b416a37cd98c2",
          "270b6924e94c4872a2a2383008e94570",
          "5fefbc4e89be4fe4972a333076ee64be",
          "6716dab57fd940a994f09b7abac93601",
          "77d4654da71c428f89037cf400daa4c8",
          "d33debb873414fc2ac61d2e24ba3cc98",
          "e1f90c963fa94055982614ab39bf1b19"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 101,
        "selected": 27,
        "expected_selections": 22.88409423828125,
        "max_candidate_count": 8,
        "max_valid_feedback": 9,
        "selected_parent_ids": [
          "6efd7e68655b4a81ba7cca36b4b86c01",
          "7280584006034bfc8c0d48233f4403ed",
          "81922d10b80644aea15de96b272334d8",
          "d41cb6aad24a469396e0679ca9b6018b"
        ],
        "min_legal_probability": 0.00018310546875
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 64,
      "native_child_limit_or_topk_gate": 14
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "fd131cd65b434628b2c7ade2c0e012f1",
      "metric": 535.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_010_kissing_number_d11_context_sd2/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_010_kissing_number_d11_context_sd2/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 535,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "c5b7e5cb5157908d29cbc156303a5fbe30c4c2ac7bfde3d64f11e4e3d09580e3"
      },
      "completed_nodes": 79
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 70.0,
    "delta_auc_vs_same_model_baseline": 43198.98849487305
  },
  {
    "run_id": "luna_011_kissing_number_d11_noise075",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "noise075",
    "state": "finished",
    "job": "951683",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/kissing_number_d11_noise075.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 543.0,
    "auc_score_seconds": 6169771.007956982,
    "completed_budget": true,
    "best_observed_score": 543.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 64,
    "evaluated_candidates": 138,
    "invalid_or_censored_candidates": 74,
    "ordinary_decisions": 131,
    "selected_operator_counts": {
      "improve": 110,
      "evolution": 17,
      "fusion": 4
    },
    "first_operator_dispatch_seconds": {
      "evolution": 4455.04704451561,
      "fusion": 9458.515484809875,
      "improve": 1453.0129690170288
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 70,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 14,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 15,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 18,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 14
    },
    "branch_selection_hhi": 0.3403647806071907,
    "mean_p_posterior_best": 0.48990963069537213,
    "mean_p_legal_parent_best": 0.5050738385615458,
    "mean_p_global_parent_best": 0.29830816137881677,
    "mean_p_cross_mean_branch": 0.3449399525882634,
    "mean_p_near_optimal_parents": 0.48231611179031486,
    "mean_p_non_mean_best": 0.5100903693046278,
    "actual_legal_best_frequency": 0.5267175572519084,
    "actual_posterior_best_frequency": 0.5190839694656488,
    "actual_global_best_frequency": 0.31297709923664124,
    "actual_near_optimal_parent_frequency": 0.4732824427480916,
    "actual_cross_mean_branch_frequency": 0.3282442748091603,
    "global_champion_available_frequency": 0.5419847328244275,
    "global_best_tied_decisions": 19,
    "legal_best_tied_decisions": 17,
    "posterior_best_tied_decisions": 1,
    "multi_candidate_decisions": 131,
    "llm_finished_calls": 650,
    "llm_successful_calls": 254,
    "llm_failed_calls": 396,
    "recovery_count": 1,
    "recoveries": [
      {
        "run_id": "luna_011_kissing_number_d11_noise075",
        "old_job": "951680",
        "slurm_terminal_evidence": "951680|FAILED\n",
        "pending": 0,
        "checkpoint_elapsed_seconds": 1727.6099417209625,
        "resumed_active_seconds": 1760,
        "remaining_seconds": 12640,
        "receipt": "[workspace]/experiment/bo_paper_aligned_iteration_20261014/submission_recovery001.json",
        "reason": "cn133 lacks the /home alias; use the canonical path to the existing same provider home in these child jobs only"
      }
    ],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 1,
    "infrastructure_recoveries": [
      {
        "run_id": "luna_011_kissing_number_d11_noise075",
        "old_job": "951680",
        "slurm_terminal_evidence": "951680|FAILED\n",
        "pending": 0,
        "checkpoint_elapsed_seconds": 1727.6099417209625,
        "resumed_active_seconds": 1760,
        "remaining_seconds": 12640,
        "receipt": "[workspace]/experiment/bo_paper_aligned_iteration_20261014/submission_recovery001.json",
        "reason": "cn133 lacks the /home alias; use the canonical path to the existing same provider home in these child jobs only"
      }
    ],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 2338921,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_011_kissing_number_d11_noise075",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_011_kissing_number_d11_noise075/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 71,
    "non_draft_completed": 130,
    "non_draft_valid": 59,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 36.14699613526225,
    "all_decision_means": {
      "p_posterior_best": 0.48990963069537213,
      "p_legal_parent_best": 0.5050738385615458,
      "p_global_parent_best": 0.29830816137881677,
      "p_cross_mean_branch": 0.3449399525882634,
      "p_non_mean_best": 0.5100903693046278,
      "selected_posterior_best": 0.5190839694656488,
      "selected_legal_parent_best": 0.5267175572519084,
      "selected_global_parent_best": 0.31297709923664124,
      "selected_cross_mean_branch": 0.3282442748091603,
      "minimum_legal_branch_probability": 0.11671040076335878
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 103,
        "selected": 15,
        "expected_selections": 12.06512451171875,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 112,
        "selected": 14,
        "expected_selections": 17.11163330078125,
        "max_candidate_count": 7,
        "max_valid_feedback": 6,
        "selected_parent_ids": [
          "5212cbb0b9a2473a810dac2fbd758e5a",
          "5d5109dee40b4e50a055fa41004c4f48",
          "cb48a035753747fcb28cc0ad7e5a6b9f",
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 110,
        "selected": 14,
        "expected_selections": 12.74053955078125,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "08700e6f03b547a5867a8a8799cd0b23",
          "b970446104074e2fbd6f511ca6e549b0"
        ],
        "min_legal_probability": 6.103515625e-05
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 100,
        "selected": 18,
        "expected_selections": 19.99700927734375,
        "max_candidate_count": 2,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "270b6924e94c4872a2a2383008e94570"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 98,
        "selected": 70,
        "expected_selections": 69.085693359375,
        "max_candidate_count": 37,
        "max_valid_feedback": 48,
        "selected_parent_ids": [
          "0fe7609578fe4031a0471df97fa698e8",
          "2da7c47dd74847669859e649ae66b70c",
          "30d360a2e06947f8b4fb317e736eb8d9",
          "39ab9c40953d4d868c778b452d1fbd05",
          "43bef0a0b01b42c7969dee5833c75a52",
          "455f9496fa7f46d9aae7869e12f6f72a",
          "4d3cfb49777042c8b7a1962c3cb359a0",
          "5b8f2d8b906f4b04b013ce44d755c449",
          "615eb1cb89f54cb0aa66f87750c9b07d",
          "688ba5bd75fa46bba698d9bda155c306",
          "68b1c3a51ba445f8b827a5ba8ba62d22",
          "71a6243f712449b3b2c85dde0466e7d8",
          "73c6e5820f71405399d8942790427602",
          "81922d10b80644aea15de96b272334d8",
          "843ac512cbb24321aacab80ce1fac51f",
          "86c0eecfd8a14ac39557f133be727fe0",
          "911aa853dcb8484aae0a2093932923dd",
          "964f323ece694f329c88cbd557cbdc05",
          "a2aec37b02884120a0a69fd2fa6879f3",
          "ad59a3f2de29425a90c91c260332e902",
          "af3b619732d44c119f4829c7c83c1975",
          "beec8182a0624c00b0c263828a86342a",
          "dfb50628a89742d8873b343a7d0dc25e",
          "e11c959e69ad457195f2f2eadd2612af",
          "eb5469a0892f43b89e857f10b242beca",
          "fc3533cae79d428d866835917d96f524"
        ],
        "min_legal_probability": 0.12017822265625
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 77,
      "native_child_limit_or_topk_gate": 3
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "a2aec37b02884120a0a69fd2fa6879f3",
      "metric": 543.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_011_kissing_number_d11_noise075/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_011_kissing_number_d11_noise075/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 543,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "b713135978cdb683d26c701a77f97702e410aa9151b451de03e6a5800eb3fa41"
      },
      "completed_nodes": 69
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 78.0,
    "delta_auc_vs_same_model_baseline": 787858.2640969753
  },
  {
    "run_id": "luna_012_kissing_number_d11_rating_neutral075",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "rating_neutral075",
    "state": "complete_budget_finalized",
    "job": "951665",
    "native_workflow_state": "failed",
    "native_exit_code": 1,
    "post_budget_finalization": true,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/base_v1/campaign/configs/kissing_number_d11_rating_neutral075.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 488.0,
    "auc_score_seconds": 5429298.909825802,
    "completed_budget": true,
    "best_observed_score": 488.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 68,
    "evaluated_candidates": 77,
    "invalid_or_censored_candidates": 9,
    "ordinary_decisions": 68,
    "selected_operator_counts": {
      "improve": 32,
      "evolution": 28,
      "fusion": 8
    },
    "first_operator_dispatch_seconds": {
      "evolution": 2926.2024631500244,
      "fusion": 7858.230879306793,
      "improve": 1453.0271258354187
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 53,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 4,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 2,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 4,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 5
    },
    "branch_selection_hhi": 0.620674740484429,
    "mean_p_posterior_best": 0.3276430017807904,
    "mean_p_legal_parent_best": 0.24298634248621323,
    "mean_p_global_parent_best": 0.15378794950597427,
    "mean_p_cross_mean_branch": 0.20493541044347427,
    "mean_p_near_optimal_parents": 0.18268630083869486,
    "mean_p_non_mean_best": 0.6723569982192096,
    "actual_legal_best_frequency": 0.20588235294117646,
    "actual_posterior_best_frequency": 0.29411764705882354,
    "actual_global_best_frequency": 0.14705882352941177,
    "actual_near_optimal_parent_frequency": 0.16176470588235295,
    "actual_cross_mean_branch_frequency": 0.20588235294117646,
    "global_champion_available_frequency": 0.7205882352941176,
    "global_best_tied_decisions": 6,
    "legal_best_tied_decisions": 1,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 68,
    "llm_finished_calls": 269,
    "llm_successful_calls": 269,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "9d81111b042848ac8d2a73ff2b286d87",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "de4b44af23ec4aeeabebec09e883e8b7",
        "status": "blocked/provider_unavailable"
      },
      {
        "exception_type": "TimeoutExpired",
        "method_id": "AQ04",
        "node_id": "16abeca2806c49deabe438a5a1cf6644",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": 2310524,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_012_kissing_number_d11_rating_neutral075",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_012_kissing_number_d11_rating_neutral075/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 3,
    "uncommitted_interrupted_candidates": 3,
    "invalid_candidates": 9,
    "non_draft_completed": 72,
    "non_draft_valid": 63,
    "pending_candidates": 3,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_012_kissing_number_d11_rating_neutral075/segments/deadline_finalization_failure/receipt.json",
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 20.019874782606784,
    "all_decision_means": {
      "p_posterior_best": 0.3276430017807904,
      "p_legal_parent_best": 0.24298634248621323,
      "p_global_parent_best": 0.15378794950597427,
      "p_cross_mean_branch": 0.20493541044347427,
      "p_non_mean_best": 0.6723569982192096,
      "selected_posterior_best": 0.29411764705882354,
      "selected_legal_parent_best": 0.20588235294117646,
      "selected_global_parent_best": 0.14705882352941177,
      "selected_cross_mean_branch": 0.20588235294117646,
      "minimum_legal_branch_probability": 0.018998089958639705
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 67,
        "selected": 2,
        "expected_selections": 1.68450927734375,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 66,
        "selected": 5,
        "expected_selections": 2.028564453125,
        "max_candidate_count": 5,
        "max_valid_feedback": 4,
        "selected_parent_ids": [
          "2da55d9df5504611a1d49b15a47c1bb4",
          "a0cc47f3fa0d4118b639543989accfe9",
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 65,
        "selected": 4,
        "expected_selections": 5.19097900390625,
        "max_candidate_count": 4,
        "max_valid_feedback": 3,
        "selected_parent_ids": [
          "b970446104074e2fbd6f511ca6e549b0",
          "bd42f5215dae461980e30902469acdac"
        ],
        "min_legal_probability": 0.00048828125
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 67,
        "selected": 4,
        "expected_selections": 6.1055908203125,
        "max_candidate_count": 4,
        "max_valid_feedback": 3,
        "selected_parent_ids": [
          "270b6924e94c4872a2a2383008e94570",
          "8f8642cc53c64b8b8807e16aee29e53a",
          "c49beff6f91f4cf6bbd03585e411a376"
        ],
        "min_legal_probability": 0.01116943359375
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 66,
        "selected": 53,
        "expected_selections": 52.9903564453125,
        "max_candidate_count": 44,
        "max_valid_feedback": 51,
        "selected_parent_ids": [
          "11b65fa3fe3445179c4caf9b093289e9",
          "141c7fd60b294726891e6437328546e7",
          "2d604f318fc24282b683b2e186f50752",
          "32b6712ee80543afa247e7ddf617831b",
          "432d9a6501544d8eae6bf4247bd4d725",
          "49810e65c6bb472dab1a984f61dae54a",
          "5abf9b94b8a3448b8d30d08d30c8a93f",
          "5cecd36dc2ee4ac0b83d8cd69bd2e613",
          "6c97590215ef49ee96ad1c71a415be77",
          "6d433020e09a43f483025a4043ff9fec",
          "6fb6300c48364628a99aa707fead3454",
          "70d76c32fd5243cc8f74c0303c7bdc8a",
          "7930d836a1f74c91854089a9a963c3e1",
          "81922d10b80644aea15de96b272334d8",
          "8c8a41362b8f4d2a9d9ee56b085e1e83",
          "9bfc4a0c10b044028fd3964f10a617e3",
          "a0ed5d92a6714683b484cf8af56e1e84",
          "a62f96d5ac8949169b85e8cf1b870e46",
          "c7e11cbbefb645548bcf81acd327d0e1",
          "cf59b71dba204dc89bb2082b8ecfdbbe",
          "d307143346004f6599e1c8a9cd1d45e2",
          "d7d6fe72d2f14a6f876a11d37e37bca9",
          "ef43bf0ab92140fca38c71d467a75f10",
          "f1ef2fc9803f462dab14a58bea564c59",
          "fcd67bff98024f1695acb955842ed072",
          "fefd4e2b907d4b29b9ff0e63c4b3f3f1"
        ],
        "min_legal_probability": 0.311279296875
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 24
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "141c7fd60b294726891e6437328546e7",
      "metric": 488.0,
      "maximize": true,
      "protocol_id": null,
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_012_kissing_number_d11_rating_neutral075/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_012_kissing_number_d11_rating_neutral075/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 488,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "c61238f13ceff0eaac73ce673eb8b92b341e23513bfd5cb8a563e5177012734d"
      },
      "completed_nodes": 77
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 23.0,
    "delta_auc_vs_same_model_baseline": 47386.16596579552
  },
  {
    "run_id": "luna_013_circle_packing_rectangle_root_sd3_local035",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "root_sd3_local035",
    "state": "finished",
    "job": "951690",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_002_base_v1/campaign/configs/circle_packing_rectangle_root_sd3_local035.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.362117320150105,
    "auc_score_seconds": 32992.06157170025,
    "completed_budget": true,
    "best_observed_score": 2.362117320150105,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 183,
    "evaluated_candidates": 212,
    "invalid_or_censored_candidates": 29,
    "ordinary_decisions": 186,
    "selected_operator_counts": {
      "improve": 64,
      "evolution": 108,
      "fusion": 14
    },
    "first_operator_dispatch_seconds": {
      "evolution": 1943.2189226150513,
      "fusion": 7421.948255300522,
      "improve": 970.0351691246033
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 89,
      "AQ04:aef33066ac2948638a969569a17460ce": 93,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 2,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 1
    },
    "branch_selection_hhi": 0.47913053532200256,
    "mean_p_posterior_best": 0.19231816773773522,
    "mean_p_legal_parent_best": 0.11113189369119623,
    "mean_p_global_parent_best": 0.10438193044354839,
    "mean_p_cross_mean_branch": 0.3866583711357527,
    "mean_p_near_optimal_parents": 0.43158516832577287,
    "mean_p_non_mean_best": 0.8076818322622648,
    "actual_legal_best_frequency": 0.10215053763440861,
    "actual_posterior_best_frequency": 0.1989247311827957,
    "actual_global_best_frequency": 0.0913978494623656,
    "actual_near_optimal_parent_frequency": 0.4032258064516129,
    "actual_cross_mean_branch_frequency": 0.41935483870967744,
    "global_champion_available_frequency": 0.967741935483871,
    "global_best_tied_decisions": 102,
    "legal_best_tied_decisions": 95,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 186,
    "llm_finished_calls": 681,
    "llm_successful_calls": 681,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 0,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 7444886,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_013_circle_packing_rectangle_root_sd3_local035",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_013_circle_packing_rectangle_root_sd3_local035/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 26,
    "non_draft_completed": 204,
    "non_draft_valid": 178,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 54.683057562042464,
    "all_decision_means": {
      "p_posterior_best": 0.19231816773773522,
      "p_legal_parent_best": 0.11113189369119623,
      "p_global_parent_best": 0.10438193044354839,
      "p_cross_mean_branch": 0.3866583711357527,
      "p_non_mean_best": 0.8076818322622648,
      "selected_posterior_best": 0.1989247311827957,
      "selected_legal_parent_best": 0.10215053763440861,
      "selected_global_parent_best": 0.0913978494623656,
      "selected_cross_mean_branch": 0.41935483870967744,
      "minimum_legal_branch_probability": 0.006115000735047043
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 185,
        "selected": 1,
        "expected_selections": 1.13739013671875,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 184,
        "selected": 89,
        "expected_selections": 89.0892333984375,
        "max_candidate_count": 71,
        "max_valid_feedback": 87,
        "selected_parent_ids": [
          "0a3b30139d4643148b29393693d3dece",
          "0cdb19d047fa4b28ba0a8806d79118c6",
          "13a0305f74b64b7a8f63857acb4c889e",
          "19d106904c4043f383b8d818dca31759",
          "1ae315da14b74902be0cad779f56c75f",
          "1c15e36925314b2bb99a0ac0cfe9bb00",
          "2042370e296a4c67b70183fcf35bba3f",
          "219d521ccc554f2d8273d355fb18a069",
          "2e253b28d824490d9443c11874c97814",
          "2e43d5f993ec434bb0c566cbb45eb204",
          "3d6296ad58084d99bd56161dfa6356e2",
          "463b8c37931449969a4e69430fcfb1da",
          "463e567419ea4639806185b0ce52298c",
          "4d5193c7ada54653acd30d25836a6af0",
          "4d78078d92ba44b182e488b6b804db0c",
          "51f5a980ad564ef18925ec49079f4810",
          "5b1df41602294b7a816de68771a9f77e",
          "62e3abe979af48d2b9eb84b632b8c017",
          "6a77a95b8b384fe0bb86bb7455ad0ca3",
          "7967bec6e981417b8079153e05588689",
          "7a4444b10c8448b7ab25d3cd6b8553a3",
          "7bc1cb5ad2ec4fe6858931378e02f8b0",
          "831e863da41148e98354fd0fa0234e76",
          "83904855f17b4bd096778d57bf23ef76",
          "96791ad68ced4afeaef70fb3e4cade38",
          "9c8b07943142465d974cef5ea1a1b3c3",
          "9dd0b077fb1048d0b5cb02df525363bc",
          "a4081e1829fd43d8966b23d1ad7f5af0",
          "a916dae3165b4168aec8b90cb78a51e0",
          "b236f62b09224a828fef3260b390befd",
          "b6e639da09c549a3a33acd829a6d5710",
          "b80e474c4d064e1b91e703bd840ee763",
          "bba06e3da50e425a9170abd06096b711",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "d1c15a47b60d4dbfb5bb580758f4bd73",
          "d3fd385b838d44a5b6dd2281655777fb",
          "d96c3eea16234088a259d0975eeb06c7",
          "e3cb9f9670d64db08646c27031aa458e",
          "ebc2d81766774b19b4c657e7af19b8df",
          "ee5b33e0967349e28b8dcd497928966f",
          "f131bf9b40c34e0e8c249c3fd10c21ff",
          "f42b0333d832415eb193852e6d619841",
          "f8d6e1a1b730427bae7e3053b8533142",
          "fa7f33a787104604aa23ede948fec648"
        ],
        "min_legal_probability": 0.05633544921875
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 178,
        "selected": 2,
        "expected_selections": 1.46759033203125,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "3d902adca03347d794ddc0fe299de6d4",
          "82458dc5e485414a9a1b2018567400db"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 184,
        "selected": 93,
        "expected_selections": 92.61419677734375,
        "max_candidate_count": 68,
        "max_valid_feedback": 87,
        "selected_parent_ids": [
          "13b62dcf0ed742ce87c6fa750eba693c",
          "1ae9a1ea759a4e6ea74878958fc3472f",
          "240e7576f6c747eb895767543f3061bc",
          "25665e79d58043838666a572b346e15d",
          "25ef4a9579c14c38aa545d1a7a9e3de4",
          "270a45cc56914beb94ac180f0f1b3420",
          "27173677cd8445e69cca058b2614bd8e",
          "297ad6cdcc594774afc11048ef704ef2",
          "2c29716edbd44ce2a0c8f6d91243128e",
          "37653cfe70c248c9b9d8d0a4ffa2f11d",
          "378ed6e0c1a04f2286df256c6b136a8a",
          "408a563595504459b3d93e78241534de",
          "410695a26cf94952860b473712ad081d",
          "4156e2112faf47fc8de0de02bf9a2628",
          "4215030e61d945989ba831607868a72e",
          "44cb705254014035a7e6848d0989b140",
          "4573ecfd293f4ee7a72c2ed3f2b88cdd",
          "45e0d4a770104022ba8f65d72c69a6ed",
          "4833ecc9cd96425daf360945f7c146b6",
          "4a9e546cb74540a99f03b7e30e43d768",
          "4b9fd044b2734ec68ecc85c738b74bd5",
          "4d1c134c57714dbeaa75ffec87b55437",
          "4d3e67f503914a7ca0f4fc53e97aa845",
          "582cf33e18504764bad256d5d1c3c09c",
          "7e81207c0a834291821ec14f66a975fd",
          "7f136574e63c49ad90e69b7c5db8a5c6",
          "8e6d6165b95649d8974f4d44f403d9ef",
          "958f4a479ca442c7b1e21761208eb03c",
          "959f0dc822364537a4e3ae06eca0eabc",
          "9cc24ff3e6ed477fa4e291ecf8784858",
          "a514870f8153437da94de3c714fb6703",
          "a7b22db494744c188ba0c1f79224b3bc",
          "ad92718c910b40a784d230af56d4e40d",
          "c6eacf3ac10f4784ab9d9fbf86dea1b3",
          "caef2752f9054d529879f1638292f4d2",
          "cd2822bdf810453988bde16b272402a7",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "dec1e9f0849f4ec89a3012a3a101b989",
          "e0010e5c120347cd94257cd96fcb2951",
          "e1f905d9f4fa4625bbeb6a9c4e43bc5f",
          "eba7f59f3fc143a89c93f0e6c6590b11",
          "ebbedbccee7e48de81f1d1e56cadabc3"
        ],
        "min_legal_probability": 0.122314453125
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 179,
        "selected": 1,
        "expected_selections": 1.69158935546875,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "aea4bb27f92d48e285cba505ebd60611"
        ],
        "min_legal_probability": 0.0
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 20,
      "native_child_limit_or_topk_gate": 16
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "01101f3fa448436ca86ae9dd7a0f1c88",
      "metric": 2.362117320150105,
      "maximize": true,
      "protocol_id": "c3658c55eee1c9501ab6f3e19c91e4685406b7930df172755307230fc02cc75d",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_013_circle_packing_rectangle_root_sd3_local035/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_013_circle_packing_rectangle_root_sd3_local035/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.362117320150105,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "7bed7e2ea331e76040cebbabbb86b8ae3e09d4cd6d34b4ffeaaa1f8c8b937540"
      },
      "completed_nodes": 211
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": -0.0037150559403502648,
    "delta_auc_vs_same_model_baseline": -89.30111843755003
  },
  {
    "run_id": "luna_014_circle_packing_rectangle_root_sd3_context05",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "root_sd3_context05",
    "state": "finished",
    "job": "951691",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_002_base_v1/campaign/configs/circle_packing_rectangle_root_sd3_context05.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.3658323760398483,
    "auc_score_seconds": 33067.85521826092,
    "completed_budget": true,
    "best_observed_score": 2.3658323760398483,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 211,
    "evaluated_candidates": 252,
    "invalid_or_censored_candidates": 41,
    "ordinary_decisions": 216,
    "selected_operator_counts": {
      "improve": 99,
      "evolution": 104,
      "fusion": 13
    },
    "first_operator_dispatch_seconds": {
      "evolution": 1616.548014640808,
      "fusion": 7888.83820271492,
      "improve": 970.0352020263672
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 81,
      "AQ04:aef33066ac2948638a969569a17460ce": 128,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 5,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 1
    },
    "branch_selection_hhi": 0.4923696844993141,
    "mean_p_posterior_best": 0.25870485658998843,
    "mean_p_legal_parent_best": 0.1643077709056713,
    "mean_p_global_parent_best": 0.13843508119936343,
    "mean_p_cross_mean_branch": 0.3489956325954861,
    "mean_p_near_optimal_parents": 0.5597291169343172,
    "mean_p_non_mean_best": 0.7412951434100116,
    "actual_legal_best_frequency": 0.13425925925925927,
    "actual_posterior_best_frequency": 0.3101851851851852,
    "actual_global_best_frequency": 0.10185185185185185,
    "actual_near_optimal_parent_frequency": 0.5277777777777778,
    "actual_cross_mean_branch_frequency": 0.35648148148148145,
    "global_champion_available_frequency": 0.9212962962962963,
    "global_best_tied_decisions": 106,
    "legal_best_tied_decisions": 114,
    "posterior_best_tied_decisions": 46,
    "multi_candidate_decisions": 216,
    "llm_finished_calls": 805,
    "llm_successful_calls": 805,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 1,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 9087718,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_014_circle_packing_rectangle_root_sd3_context05",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_014_circle_packing_rectangle_root_sd3_context05/search/logs",
    "timeout_candidates": 1,
    "censored_candidates": 2,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 39,
    "non_draft_completed": 245,
    "non_draft_valid": 206,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 65.67327991519805,
    "all_decision_means": {
      "p_posterior_best": 0.25870485658998843,
      "p_legal_parent_best": 0.1643077709056713,
      "p_global_parent_best": 0.13843508119936343,
      "p_cross_mean_branch": 0.3489956325954861,
      "p_non_mean_best": 0.7412951434100116,
      "selected_posterior_best": 0.3101851851851852,
      "selected_legal_parent_best": 0.13425925925925927,
      "selected_global_parent_best": 0.10185185185185185,
      "selected_cross_mean_branch": 0.35648148148148145,
      "minimum_legal_branch_probability": 0.004523100676359954
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 215,
        "selected": 1,
        "expected_selections": 0.81427001953125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 213,
        "selected": 81,
        "expected_selections": 82.84228515625,
        "max_candidate_count": 64,
        "max_valid_feedback": 81,
        "selected_parent_ids": [
          "00eb0e352e4d4c70950c630085e382c4",
          "038a52766fc940918caa59137564b6a4",
          "10df11f5f9394600b54d8bc375a9b9df",
          "11201f143ea94028a893b3f7f5af4ff2",
          "1448395cca784ab298442e34c4d33472",
          "1919fc34c42c4f33be36c70ae1c898d4",
          "3904a7347ff5414ebcfbaf804d7c4fbc",
          "3fca7546bb3544ad8c4c890869ccf331",
          "4852db1a30334312beb5d05ab8a1ffbb",
          "5c0730c184104ed19b7646d4403a1dc6",
          "5f2c78498e5e4922a18f863be344504d",
          "6a68b5e9e3e04f7b87f904edc739f53b",
          "6c1de79262ec4c408b7f433d828c6b80",
          "7a5eed7bd602425ab21b6b4e21ccdf0e",
          "8c4292835a874a2db3af77b7dcc9505b",
          "8eb9339b604945e29d1a603062512694",
          "8fd5455dd1864090925c2b7bce289bff",
          "a11d27b70ed1402da32a87518e8b0fd2",
          "a748e254ed2244158ef9389e59634df4",
          "a80dbb922e65412083180858c7eaf85c",
          "a8c923ab181f451b864cce7b23c146fe",
          "abd144fcf0c24991bdb0bf49205c7086",
          "b46755b213b243d78dbc10b6d747b87d",
          "b5abd2717ab14b4c8b9d760555b64b6f",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "c42779681b7d4226ace20136718d6948",
          "c57c29cffe1d49a4aa8fa03d3d88e576",
          "cb7e89e55c1a4ebea0710f473bfe1e8f",
          "cbd5275951374f18b30eb2386d1fb106",
          "cfd4ff1dc300445cad8ea3ed429e7d39",
          "d1c74d9dee4949798cd8d42285f6e932",
          "df3296053ea242b9a51a46926b3e5ded",
          "df5719d8e4cc4f09b1b2ab900b9f735f",
          "e1b2ae568faa4bbf915db04891cd6e45",
          "e1c5658fc2ce4a5ebf089c67792ab854",
          "e801798b792342a1b2dcb25d96a42811",
          "fe3a431eadfa4cbe9751025efe7f7cae"
        ],
        "min_legal_probability": 0.01458740234375
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 209,
        "selected": 5,
        "expected_selections": 6.0875244140625,
        "max_candidate_count": 5,
        "max_valid_feedback": 5,
        "selected_parent_ids": [
          "3d902adca03347d794ddc0fe299de6d4",
          "c00a1831bc924019b010aae73a5179e5",
          "ffc23b89fc0544169276e4d68adf6f22"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 214,
        "selected": 128,
        "expected_selections": 125.269287109375,
        "max_candidate_count": 86,
        "max_valid_feedback": 116,
        "selected_parent_ids": [
          "0293f288d8924a01929c9025f19c0d18",
          "066ccba23bdd4c6a9394efed85ac7a11",
          "08615bdc04034f2383950fc691438c94",
          "09b4719831904acda66f2963a2e9feb1",
          "0b431f2419384d308f4daf59ff2422bb",
          "1c9166938c1c4c8cb9f552534c89f131",
          "2617d90c2b784c11a26fa803ff288046",
          "318ea18c1422421d98f349cfed431b0c",
          "39a2dc2957d04176883d3ce4c70d3582",
          "3e7e7f7ffcb145b587e9436fdc41be28",
          "3f27ece6c61c43e3ae4efb96a5fcf909",
          "403a176a0926467bb3292e8dd90b6804",
          "45deddc332dd4b1c924dc7e18102cf76",
          "50e9eaf4ca3c455db2da6aeb3a79fcc7",
          "562cd6fd061c4e709896fa0f2d4a8c4f",
          "5634c63f9fff41729744614a88be670a",
          "578ae053891a4d5abd7bf608be6c1beb",
          "58114ae6163e4213b5f79bddbbac7e33",
          "5bc473e839314780a3c5c22e8a731d24",
          "5cf8becbc8a8434da925e2f685671ff8",
          "5f0ec59d9aa6419fa55fbd089c5513cf",
          "646c5692acc540539c083712984293e2",
          "684ef5cf74644be0a1ee34258c81123d",
          "6f3d2f8a758345909989cc12060c0dd7",
          "73f657150cc34826a4617682c6f626db",
          "74ccafb0095a484890611639d4e1137e",
          "79e5725db1a04b5da9811d734327bdf1",
          "7cea9a2e408f4b55a62226db75250a9f",
          "7e02d3e855294b428a08ae75b79839b6",
          "7fcfbe5873c0405394106432c487b45b",
          "800040cfa97c4f6db16602cd976891c9",
          "8d4bbdfec6d74e50bf703c3dcdacb69a",
          "8f32b7163bf1447ba55445b458248737",
          "9a1232fc214c48d89c560628e6a585e2",
          "9af538b90e8e4ec8ac725b2969702bbb",
          "9efd1f63902545c993c375d4b9caab94",
          "a2a02065aa1d4ebf907a7f6d6967420a",
          "a3ce148b456d4cbe87b6d8d86a0641e0",
          "a523bc0819f74be6bb8bd5e3500a0d9d",
          "aa2fffddc86a4157b8d397b75bb62994",
          "aaa7f6f1e48d4def80b338259afada3c",
          "ba5e39ed046a4b6980244c1863dd55bf",
          "bfff4a055c2b4cd4917de904c3e276aa",
          "c239e60ab72d4007a1387fd88ebf85b8",
          "c74d5ec530d7463da778588ceca0a937",
          "c9085b8eaeb64e838c4b8f959d31dfdf",
          "cc0d4c0ac73e46038e532b2b8ff079ee",
          "ccc9f38e7fcf4267a049d8139b7f9e45",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "d609059c38cf4a75b16c8c6e0968d243",
          "daa952d125aa4d7abb9afe6dd05de68d",
          "e0ae4a0278af4554a50047be38acc710",
          "e0afa0ecbbb84c38a99b7608497d331d",
          "e1b1f289bcb84881aee0ec57ea59ed68",
          "e3f7e7b9a665421797cabb5b273bb66b",
          "e3faa57b4c8d4e108ced45db9f1e296b",
          "e762f56f99f34e498dc6c78b3bbfbe50",
          "f3e3ec3b0b0d4e859c4b591f189686d2",
          "f509fcce2a124215a4f8f410b6cdbe57",
          "fab22edd18e74e769170db4969e87c16",
          "ffa9add816a542cbb8c0b85b5a807360"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 209,
        "selected": 1,
        "expected_selections": 0.98663330078125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "aea4bb27f92d48e285cba505ebd60611"
        ],
        "min_legal_probability": 0.0
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 61,
      "native_child_limit_or_topk_gate": 34
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "1425dc0f2cd64e71b5b7960825be2015",
      "metric": 2.3658323760398483,
      "maximize": true,
      "protocol_id": "c3658c55eee1c9501ab6f3e19c91e4685406b7930df172755307230fc02cc75d",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_014_circle_packing_rectangle_root_sd3_context05/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_014_circle_packing_rectangle_root_sd3_context05/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.3658323760398483,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "4381054d10178d3962ee5743680fea9489b3f36d69926c1fd49652b8faff1edf"
      },
      "completed_nodes": 251
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": -5.0607074086883586e-11,
    "delta_auc_vs_same_model_baseline": -13.507471876881027
  },
  {
    "run_id": "luna_015_kissing_number_d11_root_sd3_local035",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "root_sd3_local035",
    "state": "finished",
    "job": "951692",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_002_base_v1/campaign/configs/kissing_number_d11_root_sd3_local035.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 494.0,
    "auc_score_seconds": 6071814.771187305,
    "completed_budget": true,
    "best_observed_score": 494.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 72,
    "evaluated_candidates": 79,
    "invalid_or_censored_candidates": 7,
    "ordinary_decisions": 70,
    "selected_operator_counts": {
      "improve": 40,
      "evolution": 22,
      "fusion": 8
    },
    "first_operator_dispatch_seconds": {
      "evolution": 6674.06653881073,
      "fusion": 8101.84005689621,
      "improve": 1453.0283064842224
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 32,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 1,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 2,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 10,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 25
    },
    "branch_selection_hhi": 0.35795918367346935,
    "mean_p_posterior_best": 0.24469866071428573,
    "mean_p_legal_parent_best": 0.170184326171875,
    "mean_p_global_parent_best": 0.10664411272321428,
    "mean_p_cross_mean_branch": 0.4364222935267857,
    "mean_p_near_optimal_parents": 0.17219499860491072,
    "mean_p_non_mean_best": 0.7553013392857143,
    "actual_legal_best_frequency": 0.2,
    "actual_posterior_best_frequency": 0.2857142857142857,
    "actual_global_best_frequency": 0.15714285714285714,
    "actual_near_optimal_parent_frequency": 0.17142857142857143,
    "actual_cross_mean_branch_frequency": 0.5,
    "global_champion_available_frequency": 0.7428571428571429,
    "global_best_tied_decisions": 36,
    "legal_best_tied_decisions": 38,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 70,
    "llm_finished_calls": 272,
    "llm_successful_calls": 272,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 2376065,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_015_kissing_number_d11_root_sd3_local035",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_015_kissing_number_d11_root_sd3_local035/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 4,
    "non_draft_completed": 71,
    "non_draft_valid": 67,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 19.74182096618169,
    "all_decision_means": {
      "p_posterior_best": 0.24469866071428573,
      "p_legal_parent_best": 0.170184326171875,
      "p_global_parent_best": 0.10664411272321428,
      "p_cross_mean_branch": 0.4364222935267857,
      "p_non_mean_best": 0.7553013392857143,
      "selected_posterior_best": 0.2857142857142857,
      "selected_legal_parent_best": 0.2,
      "selected_global_parent_best": 0.15714285714285714,
      "selected_cross_mean_branch": 0.5,
      "minimum_legal_branch_probability": 0.011817278180803572
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 68,
        "selected": 2,
        "expected_selections": 2.09735107421875,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "8dfd2d7f187046d1afaca6bdd6c950e2",
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 67,
        "selected": 10,
        "expected_selections": 8.2501220703125,
        "max_candidate_count": 10,
        "max_valid_feedback": 10,
        "selected_parent_ids": [
          "44ce3683bafc4acbaf5d468d367e1e5e",
          "94364a479d884cd2b4bd2fd9674fdc7a",
          "9586079e48684fb7a782df2256284040",
          "a185e83885ec4b218efd1ffee0638812",
          "ec490b506da54f2ab3678c9ba2f00a4d",
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.0003662109375
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 68,
        "selected": 1,
        "expected_selections": 0.38311767578125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "b970446104074e2fbd6f511ca6e549b0"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 70,
        "selected": 25,
        "expected_selections": 23.08416748046875,
        "max_candidate_count": 21,
        "max_valid_feedback": 24,
        "selected_parent_ids": [
          "024c3aab24d64b62af9f3387745e87dc",
          "042eaa606af94432883580bc5f8d4dd0",
          "08317c6993cc452da5b72dc626b61b98",
          "1e542b6bf8414471ae06472bfca34523",
          "270b6924e94c4872a2a2383008e94570",
          "2a5c7611c98c49a1a085cb9fe118324f",
          "59884d7b9dfe4a6aa7f61aee31e5bb96",
          "8ca25cec329a468b972b4872747622ac",
          "90a612f8efd744a198fee4ddae929b93",
          "b6cfe2f2ab4649869efa13ad828e698f",
          "bfb2b4c46a1944fd98a0a997940878ef",
          "df64e39121974697954b18c650c119fa",
          "fa3b62fba27e49fc9ac5e3d7ec2c1e53"
        ],
        "min_legal_probability": 0.0040283203125
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 68,
        "selected": 32,
        "expected_selections": 36.18524169921875,
        "max_candidate_count": 26,
        "max_valid_feedback": 30,
        "selected_parent_ids": [
          "08266f32ab61473681ece9902c922896",
          "0dbe534e6f774f13adcca9d4c80caddd",
          "164ffe24b5f146fda68cb40e312f7e80",
          "1e8e51fa97824b33817f35d363135e8a",
          "29a62a1d2f904dc9a4f802c97aaa0225",
          "314f509a5b734ca784711a18ef753dd5",
          "4e5abdf51b0e4a028710e4b4656c9058",
          "53e9fe3882e94de99bbe72659c4d1164",
          "5ceed190130c410694e9338f8e22b324",
          "7ece94ed581149b3a9cbaa6ff3088910",
          "81922d10b80644aea15de96b272334d8",
          "8931b628606c42719ef9baafda2cad4b",
          "c6d64629f2584556a623f777c8c536fa",
          "cde34029982b4b799457dc8bebfce76f",
          "d0b8641300894a36af8a7612fc3369a9",
          "d3bc738883c047638506b30b4b025a65",
          "e15f428a7fd64e2282da6515e0e34bd2",
          "efa99a09627e4c8e8c6d2a1c4c78aa5a"
        ],
        "min_legal_probability": 0.1422119140625
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 22
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "5ceed190130c410694e9338f8e22b324",
      "metric": 494.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_015_kissing_number_d11_root_sd3_local035/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_015_kissing_number_d11_root_sd3_local035/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 494,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "6f5da5a325e0e8bc3fa294bdfe94d05b3144d6427ac60c872bba378871127ff0"
      },
      "completed_nodes": 76
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 29.0,
    "delta_auc_vs_same_model_baseline": 689902.0273272991
  },
  {
    "run_id": "luna_016_kissing_number_d11_root_sd3_context05",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "root_sd3_context05",
    "state": "finished",
    "job": "951689",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_002_base_v1/campaign/configs/kissing_number_d11_root_sd3_context05.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 511.0,
    "auc_score_seconds": 5267076.740566492,
    "completed_budget": true,
    "best_observed_score": 511.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 94,
    "evaluated_candidates": 105,
    "invalid_or_censored_candidates": 11,
    "ordinary_decisions": 94,
    "selected_operator_counts": {
      "improve": 59,
      "evolution": 32,
      "fusion": 3
    },
    "first_operator_dispatch_seconds": {
      "evolution": 2464.458186149597,
      "fusion": 7545.570956707001,
      "improve": 1453.0283815860748
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 10,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 2,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 2,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 62,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 18
    },
    "branch_selection_hhi": 0.48392937980986866,
    "mean_p_posterior_best": 0.3816086789394947,
    "mean_p_legal_parent_best": 0.3222636770694814,
    "mean_p_global_parent_best": 0.2040074125249335,
    "mean_p_cross_mean_branch": 0.23209137612200798,
    "mean_p_near_optimal_parents": 0.32146112969581114,
    "mean_p_non_mean_best": 0.6183913210605053,
    "actual_legal_best_frequency": 0.3404255319148936,
    "actual_posterior_best_frequency": 0.40425531914893614,
    "actual_global_best_frequency": 0.2127659574468085,
    "actual_near_optimal_parent_frequency": 0.3404255319148936,
    "actual_cross_mean_branch_frequency": 0.22340425531914893,
    "global_champion_available_frequency": 0.7340425531914894,
    "global_best_tied_decisions": 16,
    "legal_best_tied_decisions": 21,
    "posterior_best_tied_decisions": 2,
    "multi_candidate_decisions": 94,
    "llm_finished_calls": 368,
    "llm_successful_calls": 368,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 1,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 3056888,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_016_kissing_number_d11_root_sd3_context05",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_016_kissing_number_d11_root_sd3_context05/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 8,
    "non_draft_completed": 97,
    "non_draft_valid": 89,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 26.971220193234142,
    "all_decision_means": {
      "p_posterior_best": 0.3816086789394947,
      "p_legal_parent_best": 0.3222636770694814,
      "p_global_parent_best": 0.2040074125249335,
      "p_cross_mean_branch": 0.23209137612200798,
      "p_non_mean_best": 0.6183913210605053,
      "selected_posterior_best": 0.40425531914893614,
      "selected_legal_parent_best": 0.3404255319148936,
      "selected_global_parent_best": 0.2127659574468085,
      "selected_cross_mean_branch": 0.22340425531914893,
      "minimum_legal_branch_probability": 0.016189250540226064
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 92,
        "selected": 2,
        "expected_selections": 1.4080810546875,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 93,
        "selected": 18,
        "expected_selections": 20.90533447265625,
        "max_candidate_count": 17,
        "max_valid_feedback": 18,
        "selected_parent_ids": [
          "029de7adaa0947d4876b2dc6bc587d08",
          "318b4eb482404c1caaec62eee584841b",
          "4ee7a5147a66457682841240b7d208e9",
          "6c2b153accc545e18703099c312238d5",
          "9031a7228582413281e272e73eab792b",
          "94c995087f0246b7a0699805ce5db56f",
          "9d4629d58f9c45559e2987892e3822f2",
          "b4993a64d34d49618a943b2463c58266",
          "c540278dd98a4822825f0662800870af",
          "e02c7cccfa614d1dae4e5d69594017ef",
          "f15072a9524a42f0afde7cfaf7742b91",
          "fa5831a3c09a4f17a2114ae9c9a1d688"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 89,
        "selected": 2,
        "expected_selections": 1.58013916015625,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "85d01e7311374b0da7a262a8ae0f5cc7",
          "b970446104074e2fbd6f511ca6e549b0"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 94,
        "selected": 62,
        "expected_selections": 62.2994384765625,
        "max_candidate_count": 48,
        "max_valid_feedback": 57,
        "selected_parent_ids": [
          "1d0c11032214436dbcd88d27499880f8",
          "1f8e7b76734d42efba65b9caec627d2c",
          "270b6924e94c4872a2a2383008e94570",
          "37e57ed669df48e4a78c07beac749742",
          "37e796bfcb694086aa5cb6a74b06aea8",
          "3c11cfd384964acbbddf482afcf42eda",
          "3c966cb2b1de461697046642f98b89dc",
          "4fc7e12263f741a9af894305fe1217d2",
          "5077da0ee5914d6eab8388ec5bb4f4d0",
          "5aa48a46bfc146a287e9876550773aae",
          "5bfb0333397d4ca6b54645296e00d1cc",
          "71b0174401ee4f9d8ecdb55321587662",
          "7a67a600d3944d998c8413c81d470243",
          "8511f3b85498406789603c824f4c9965",
          "896698f3a57643538b3cab30330a32dd",
          "921b2e0be79b4b5286061c2398bcbe06",
          "9c62896d157c4caf9955833a8ad49853",
          "9cba7ad03ded46308ab3c7e07b0a5600",
          "9d65e7df816e44ff82fc80e7cc871632",
          "ab4ad9bd1b0448b8b242a30428991469",
          "af886462cba346eaaecbb5da64a092e0",
          "b6b6e85ba33b4aeb8a6e5c3a3ec4db95",
          "c3664c472cb84eae8c1189e7d46951cd",
          "c98e631163a141078b8a92e7f426bf92",
          "d494736cc2964351b7d1ed27f35253cf",
          "d4d804c656a44fc2bb90ea12dcd7ec07",
          "d61672d8912d42d09b44a9cc0255510a",
          "dd948e7973cb49e4984ca1b708042287",
          "f9dd74bccbab41f8afe5c5fb12b2dd2f"
        ],
        "min_legal_probability": 0.00848388671875
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 92,
        "selected": 10,
        "expected_selections": 7.8070068359375,
        "max_candidate_count": 9,
        "max_valid_feedback": 10,
        "selected_parent_ids": [
          "0bd551e1d5f641cc989c9d3838093668",
          "698dd2df320b46a5980c6cbaa768dbe0",
          "81922d10b80644aea15de96b272334d8",
          "ddd5d20f00714d5186174073eb22ad49"
        ],
        "min_legal_probability": 0.0
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 42
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "dd948e7973cb49e4984ca1b708042287",
      "metric": 511.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_016_kissing_number_d11_root_sd3_context05/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_016_kissing_number_d11_root_sd3_context05/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 511,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "8d146042b851f1a5d6c9c01cf59dea28fdaddb99526221821db1dc276509c2ac"
      },
      "completed_nodes": 103
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 46.0,
    "delta_auc_vs_same_model_baseline": -114836.00329351425
  },
  {
    "run_id": "luna_017_circle_packing_rectangle_noise075_prior9",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "noise075_prior9",
    "state": "finished",
    "job": "951715",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_003_noise_prior/campaign/configs/circle_packing_rectangle_noise075_prior9.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.365832376153923,
    "auc_score_seconds": 33100.63667804322,
    "completed_budget": true,
    "best_observed_score": 2.365832376153923,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 128,
    "evaluated_candidates": 155,
    "invalid_or_censored_candidates": 27,
    "ordinary_decisions": 133,
    "selected_operator_counts": {
      "improve": 51,
      "evolution": 67,
      "fusion": 15
    },
    "first_operator_dispatch_seconds": {
      "evolution": 4004.476995944977,
      "fusion": 7728.067393541336,
      "improve": 970.0348148345947
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 8,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 86,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 32,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 6,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1
    },
    "branch_selection_hhi": 0.48171179829272426,
    "mean_p_posterior_best": 0.2514253774083647,
    "mean_p_legal_parent_best": 0.31383588977326127,
    "mean_p_global_parent_best": 0.30238147248002817,
    "mean_p_cross_mean_branch": 0.3084230351268797,
    "mean_p_near_optimal_parents": 0.5452958874236372,
    "mean_p_non_mean_best": 0.7485746225916353,
    "actual_legal_best_frequency": 0.2631578947368421,
    "actual_posterior_best_frequency": 0.2631578947368421,
    "actual_global_best_frequency": 0.2556390977443609,
    "actual_near_optimal_parent_frequency": 0.46616541353383456,
    "actual_cross_mean_branch_frequency": 0.3082706766917293,
    "global_champion_available_frequency": 0.9548872180451128,
    "global_best_tied_decisions": 113,
    "legal_best_tied_decisions": 110,
    "posterior_best_tied_decisions": 11,
    "multi_candidate_decisions": 133,
    "llm_finished_calls": 491,
    "llm_successful_calls": 491,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 2,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 5197571,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_017_circle_packing_rectangle_noise075_prior9",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_017_circle_packing_rectangle_noise075_prior9/search/logs",
    "timeout_candidates": 1,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 24,
    "non_draft_completed": 147,
    "non_draft_valid": 123,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 39.40396794911884,
    "all_decision_means": {
      "p_posterior_best": 0.2514253774083647,
      "p_legal_parent_best": 0.31383588977326127,
      "p_global_parent_best": 0.30238147248002817,
      "p_cross_mean_branch": 0.3084230351268797,
      "p_non_mean_best": 0.7485746225916353,
      "selected_posterior_best": 0.2631578947368421,
      "selected_legal_parent_best": 0.2631578947368421,
      "selected_global_parent_best": 0.2556390977443609,
      "selected_cross_mean_branch": 0.3082706766917293,
      "minimum_legal_branch_probability": 0.005907101738721805
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 133,
        "selected": 1,
        "expected_selections": 0.79425048828125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 133,
        "selected": 6,
        "expected_selections": 6.804931640625,
        "max_candidate_count": 6,
        "max_valid_feedback": 5,
        "selected_parent_ids": [
          "0a88bc9455204d8e91b4685f546fabc5",
          "24d9b9dd7dde49c690c780b8a2c82bee",
          "32fa5dbe5a604d159509a30d7356f620",
          "bcb1b6245d9f4eeca95e76af858ab11b"
        ],
        "min_legal_probability": 0.0018310546875
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 126,
        "selected": 32,
        "expected_selections": 28.98272705078125,
        "max_candidate_count": 25,
        "max_valid_feedback": 30,
        "selected_parent_ids": [
          "1e20f0a605c04f179b2a05c80ce1413c",
          "3220978c5c76468794bc6572b1973d07",
          "36b7d223225543eebae0f6d265987ada",
          "3d902adca03347d794ddc0fe299de6d4",
          "4a79db799af7490bb37f4cc6fc567cd8",
          "5a3d6560f4d44989b2bf788248c55f82",
          "6b6333aac0bb4d94b586ddd878ae8877",
          "6e961c11e125475da1427d8666571b97",
          "8672fb219f8f41d580db352a69f1f878",
          "97f03a9e20f14d71a99bcf4b17e1331b",
          "98730f62134e479b9ede23d6a669a329",
          "cbf656b09ebe4af3855a9423b38c2371",
          "eafecaac2a7244ac914545adbbbabe97",
          "f46a9fcf5ef14d5a93f2cd6b5c60f91c",
          "f61e346dce374c728cc0b67e83de8e3a"
        ],
        "min_legal_probability": 0.0260009765625
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 131,
        "selected": 8,
        "expected_selections": 11.568603515625,
        "max_candidate_count": 7,
        "max_valid_feedback": 7,
        "selected_parent_ids": [
          "02a8b34e5d7e4e92bea895e41fb25510",
          "164f4e693c9a4340b55045fb60cc2120",
          "98293761fc2748e6852b35afe331d307",
          "cf7c91f7b17b4b0596acca8aa6a1c4af"
        ],
        "min_legal_probability": 0.00384521484375
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 126,
        "selected": 86,
        "expected_selections": 84.8494873046875,
        "max_candidate_count": 59,
        "max_valid_feedback": 80,
        "selected_parent_ids": [
          "0d394568390d4d9988d723cad963bce0",
          "1bd1219f30ea4493a0b3808dfabf2d83",
          "292bdee3466d46089974bd5025a48f36",
          "324ccf4ae8644ff19089e2d4e95857d4",
          "36b7dfa0ac9b45ce818b5148a2d48636",
          "381a33f0417b4a77ac1c8b42723a4fdc",
          "3ce9a3ed615c438f98c3e7b121d35adc",
          "44e3a04d2268474683512aab77fe7b7e",
          "5b5edae3f9514338951bf0ea1322161d",
          "605008e10e914f63828aa88da3d1e4fc",
          "64d658f3a0454fa7ae1192b6535612bf",
          "69ca706840b248f4b8e2bd4c890eaa04",
          "6b0dd505cf3a4da89c66b8c6b268332d",
          "6c3032a41c7843d181608f3589c6e2a7",
          "829cba298c7d44d2990598ce112e44ac",
          "8aec24b20a494960abfffcf30b1bbe31",
          "8bc9280a159143aebf0ecd5f6aefb19d",
          "99982325a21c4656b163fd32706b2367",
          "a8bfb7a2741e4c24a4b760fed4f21711",
          "ac851b64070e49e1b7a55c17832ba224",
          "add08914648243a6904bc43f4555abc0",
          "aea4bb27f92d48e285cba505ebd60611",
          "af3e35759c4d4c68a2474e25f02bcec9",
          "b8f547521f3c4fc7b1a849df05bfb41f",
          "bdb86258e2b946299f90563d12d8a4f3",
          "be80e84af7f642d0922142d52c1d826e",
          "c79d83e7582d47b597f58d15a198c03c",
          "caaf856756b94bf69b089dca06875c4b",
          "d2e001985c99494cab92748212f7413b",
          "d7641aed379c4dab8a97724a5d8cc73a",
          "dff81363977b457f8f989a5c4d874635",
          "e45ab3eac5bf48d494ec38e9e7dc1e53",
          "f99728583400403784597701e4c9f540"
        ],
        "min_legal_probability": 0.07763671875
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 46,
      "native_child_limit_or_topk_gate": 259
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "a8bfb7a2741e4c24a4b760fed4f21711",
      "metric": 2.365832376153923,
      "maximize": true,
      "protocol_id": "c3658c55eee1c9501ab6f3e19c91e4685406b7930df172755307230fc02cc75d",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_017_circle_packing_rectangle_noise075_prior9/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_017_circle_packing_rectangle_noise075_prior9/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.365832376153923,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "d26ccda638ed2fd5d3d02af61aec966268fa45d7f582cabadd023d48e928a5a2"
      },
      "completed_nodes": 153
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": 6.346745351493155e-11,
    "delta_auc_vs_same_model_baseline": 19.273987905420654
  },
  {
    "run_id": "luna_018_circle_packing_rectangle_noise075_prior36",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "noise075_prior36",
    "state": "finished",
    "job": "951716",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_003_noise_prior/campaign/configs/circle_packing_rectangle_noise075_prior36.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.365832375947468,
    "auc_score_seconds": 33062.76170666001,
    "completed_budget": true,
    "best_observed_score": 2.365832375947468,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 180,
    "evaluated_candidates": 199,
    "invalid_or_censored_candidates": 19,
    "ordinary_decisions": 183,
    "selected_operator_counts": {
      "improve": 119,
      "evolution": 51,
      "fusion": 13
    },
    "first_operator_dispatch_seconds": {
      "evolution": 2935.780328273773,
      "fusion": 7662.693274259567,
      "improve": 970.0347077846527
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 101,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 30,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 4,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 47,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1
    },
    "branch_selection_hhi": 0.3979515661859117,
    "mean_p_posterior_best": 0.20703091647455601,
    "mean_p_legal_parent_best": 0.29597147957223363,
    "mean_p_global_parent_best": 0.28604542883367484,
    "mean_p_cross_mean_branch": 0.4124092143741462,
    "mean_p_near_optimal_parents": 0.6714570926186817,
    "mean_p_non_mean_best": 0.792969083525444,
    "actual_legal_best_frequency": 0.28415300546448086,
    "actual_posterior_best_frequency": 0.20765027322404372,
    "actual_global_best_frequency": 0.28415300546448086,
    "actual_near_optimal_parent_frequency": 0.6284153005464481,
    "actual_cross_mean_branch_frequency": 0.4098360655737705,
    "global_champion_available_frequency": 0.9617486338797814,
    "global_best_tied_decisions": 157,
    "legal_best_tied_decisions": 111,
    "posterior_best_tied_decisions": 37,
    "multi_candidate_decisions": 183,
    "llm_finished_calls": 706,
    "llm_successful_calls": 706,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 0,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 8142388,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_018_circle_packing_rectangle_noise075_prior36",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_018_circle_packing_rectangle_noise075_prior36/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 1,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 18,
    "non_draft_completed": 193,
    "non_draft_valid": 175,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 51.73446132095194,
    "all_decision_means": {
      "p_posterior_best": 0.20703091647455601,
      "p_legal_parent_best": 0.29597147957223363,
      "p_global_parent_best": 0.28604542883367484,
      "p_cross_mean_branch": 0.4124092143741462,
      "p_non_mean_best": 0.792969083525444,
      "selected_posterior_best": 0.20765027322404372,
      "selected_legal_parent_best": 0.28415300546448086,
      "selected_global_parent_best": 0.28415300546448086,
      "selected_cross_mean_branch": 0.4098360655737705,
      "minimum_legal_branch_probability": 0.0053714272754439895
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 183,
        "selected": 1,
        "expected_selections": 1.02667236328125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 183,
        "selected": 47,
        "expected_selections": 44.9874267578125,
        "max_candidate_count": 33,
        "max_valid_feedback": 43,
        "selected_parent_ids": [
          "039ca85b4df84e6eac2bfd61515bb4e0",
          "19a0c2a6b2624fa6ada1d3befc561313",
          "1a5249d971ed47859e3d7d9516d9de6f",
          "28a5858030b645358ea9aba5bae56523",
          "33a684fbce4746d1b512e122c4b7372a",
          "47d16b13554748fdaeed752807a19adb",
          "4d1961df360d4bfb8b34086f00fcab4f",
          "5eb2c395c5ba4da18853a551210e5bac",
          "65b3562ab8c348c886716c5c23073ea0",
          "72cfb8fc31a3483396e05f43f101c075",
          "7aea156b3a594e6e927b2931ca160e9b",
          "83d981944e144016bdca348406a83108",
          "83e88c20a3dd461a826a99c807ae6f5e",
          "8ac591329bc24dd5aa99f926a3f3a474",
          "935d14fa818643a3a7e7cf1bd1fcbbb5",
          "9a3675caf5f1472098ecf623a7755734",
          "afa631218d57473ca9fbfacb05ff3866",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "c51f6c4dd9d046e492282102d552c2c4",
          "ddad6bac877342de9022eba2b9690736",
          "e24631734a704b7690032f45b81bd070",
          "f4ab9d3d43854b1f9a514a088a120267",
          "fc4368e8cf984cdb8d7c295ecd7e22d4"
        ],
        "min_legal_probability": 0.07611083984375
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 177,
        "selected": 4,
        "expected_selections": 2.37896728515625,
        "max_candidate_count": 5,
        "max_valid_feedback": 4,
        "selected_parent_ids": [
          "2ed84b131f6d4f8a9a919ee20c2dc2c7",
          "3d902adca03347d794ddc0fe299de6d4",
          "7cecdaf16c2941818333c8b6326226a8"
        ],
        "min_legal_probability": 0.0001220703125
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 181,
        "selected": 101,
        "expected_selections": 102.1744384765625,
        "max_candidate_count": 74,
        "max_valid_feedback": 95,
        "selected_parent_ids": [
          "028a0ec435bf4fceaeb6102925321cf5",
          "061d1f40700a4960abf73bd2c4d264a6",
          "0e6c36b34fe8493bafe7dfb8214e4255",
          "0fcf329aa7354c0abc4cf8c30ed53a91",
          "11c610a302c94edb84111a59ce34d776",
          "205f72ca63bf4f7097cc865cf9f18d18",
          "207000b208d845adbf4b958591a3558c",
          "233c98199bc44926a00c3474fa0b43b3",
          "2ec12d38a4e34668bf69911c665b4cae",
          "39d627c8c6e843cc9f6ebcd39d9d05a0",
          "4519c049bdea464080c7fae511ade200",
          "4a255686e3554c97a33fef9a9b98f4dd",
          "4d8d76d80e3b4332ac14628a2ec4b3bf",
          "687812397bd14bff960fe015df74c7c7",
          "6ff7a716b36b4d69ba32d4b532538aca",
          "79a2c49ecdce4610b93c0788c1959351",
          "7d11bf94a39f47c4bf3a95fdb4431be7",
          "7d5c14f04f8740f6ad396e283dbaeee5",
          "8c701dfc9a3a4c5f887608049b41b106",
          "8ecf6a3ed0e44242968b86a04db0bef5",
          "9061617ac75945d99501b4dd65570a9a",
          "909c773eea5a414bbec33d444c90d992",
          "928e378a14154a4e9768082d53b4c5e6",
          "9be43a4af4e345fbafd559b5a5c14e54",
          "a68d095106b7433ba4f0bd32e2a909ca",
          "b12b5bcea8e74e918eeebdd6e76014ac",
          "b15afddb21fe48bf95150645bead3704",
          "b16b1ba0eadf47308367e7aa17b87a42",
          "b98b8f02cb8948b084a74ab0ad9b08ee",
          "be238fce15e1492aa3325b411cd12c63",
          "c35279e670eb496287e98c44339b01ed",
          "c5006e1250154a248ef469e8b6830021",
          "cdf4064d40924a91a9d21b4d345ffb2c",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "e73e203b759d4556b36255236cd489fd",
          "eaf9178eb06a4293a1e140c238bd9401",
          "ed121ea0d3b749fc9ecf8ecba6f17d93",
          "ee40f721232b4f9482733661eab79d18",
          "f9bbe64e5ee644aea51f28ea8ca0de46"
        ],
        "min_legal_probability": 0.157470703125
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 177,
        "selected": 30,
        "expected_selections": 32.4324951171875,
        "max_candidate_count": 24,
        "max_valid_feedback": 29,
        "selected_parent_ids": [
          "0e2bedacc90a4e31a0c8a5e16cde8ba0",
          "16bdbf7bd6ca49f3a5120f42accf5f63",
          "277c9b707bcc48cdb65fc47b6a33a080",
          "28bfcc5f88214853b50d9d3c5c61ad6d",
          "4945f57dd2fe47adb9a843f3742eaa6b",
          "58fe21db057549479f7b58c5311a19ee",
          "5fad1c03ed22469c8c0a2a17f972d5c7",
          "81fdf9a0c2d3472498baf0e3ba4690cd",
          "915b3b036395425783bd864a63dd93ad",
          "aea4bb27f92d48e285cba505ebd60611",
          "b3e8bad24e7f4909a82672c6f4b611ac",
          "e42e40657c044591bce5fa90da41c5f3",
          "f883f308352640bd87089b35872af901",
          "f95fe69c131d4cedb66fce5046c94b75"
        ],
        "min_legal_probability": 0.0299072265625
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 110,
      "native_child_limit_or_topk_gate": 298
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "7d11bf94a39f47c4bf3a95fdb4431be7",
      "metric": 2.365832375947468,
      "maximize": true,
      "protocol_id": "c3658c55eee1c9501ab6f3e19c91e4685406b7930df172755307230fc02cc75d",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_018_circle_packing_rectangle_noise075_prior36/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_018_circle_packing_rectangle_noise075_prior36/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.365832375947468,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "7c5f590b5fc4adde98299431ecc19b9a5b910339ba2fb287d55bede1c48a9c63"
      },
      "completed_nodes": 198
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": -1.429873996983133e-10,
    "delta_auc_vs_same_model_baseline": -18.600983477794216
  },
  {
    "run_id": "luna_019_kissing_number_d11_noise075_prior9",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "noise075_prior9",
    "state": "finished",
    "job": "951719",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_003_noise_prior/campaign/configs/kissing_number_d11_noise075_prior9.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 496.0,
    "auc_score_seconds": 5741498.941973448,
    "completed_budget": true,
    "best_observed_score": 496.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 67,
    "evaluated_candidates": 71,
    "invalid_or_censored_candidates": 4,
    "ordinary_decisions": 65,
    "selected_operator_counts": {
      "improve": 31,
      "evolution": 24,
      "fusion": 10
    },
    "first_operator_dispatch_seconds": {
      "evolution": 5410.535444498062,
      "fusion": 9074.37388753891,
      "improve": 1453.0188782215118
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 47,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 4,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 1,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 11,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 2
    },
    "branch_selection_hhi": 0.5564497041420118,
    "mean_p_posterior_best": 0.4464618389423077,
    "mean_p_legal_parent_best": 0.4134709284855769,
    "mean_p_global_parent_best": 0.25571195162259613,
    "mean_p_cross_mean_branch": 0.1959209735576923,
    "mean_p_near_optimal_parents": 0.31737623948317306,
    "mean_p_non_mean_best": 0.5535381610576923,
    "actual_legal_best_frequency": 0.38461538461538464,
    "actual_posterior_best_frequency": 0.4461538461538462,
    "actual_global_best_frequency": 0.26153846153846155,
    "actual_near_optimal_parent_frequency": 0.3076923076923077,
    "actual_cross_mean_branch_frequency": 0.2,
    "global_champion_available_frequency": 0.49230769230769234,
    "global_best_tied_decisions": 0,
    "legal_best_tied_decisions": 0,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 65,
    "llm_finished_calls": 249,
    "llm_successful_calls": 249,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 2228713,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_019_kissing_number_d11_noise075_prior9",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_019_kissing_number_d11_noise075_prior9/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 1,
    "non_draft_completed": 63,
    "non_draft_valid": 62,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 17.517390434780935,
    "all_decision_means": {
      "p_posterior_best": 0.4464618389423077,
      "p_legal_parent_best": 0.4134709284855769,
      "p_global_parent_best": 0.25571195162259613,
      "p_cross_mean_branch": 0.1959209735576923,
      "p_non_mean_best": 0.5535381610576923,
      "selected_posterior_best": 0.4461538461538462,
      "selected_legal_parent_best": 0.38461538461538464,
      "selected_global_parent_best": 0.26153846153846155,
      "selected_cross_mean_branch": 0.2,
      "minimum_legal_branch_probability": 0.020702185997596153
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 63,
        "selected": 1,
        "expected_selections": 1.61004638671875,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0006103515625
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 65,
        "selected": 2,
        "expected_selections": 1.512451171875,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 63,
        "selected": 4,
        "expected_selections": 2.83782958984375,
        "max_candidate_count": 5,
        "max_valid_feedback": 4,
        "selected_parent_ids": [
          "a83b47ba855940ac924ebc49f16cfe8b",
          "b970446104074e2fbd6f511ca6e549b0",
          "bab17b277e1b42999edb4109925849a3"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 61,
        "selected": 11,
        "expected_selections": 11.0277099609375,
        "max_candidate_count": 11,
        "max_valid_feedback": 11,
        "selected_parent_ids": [
          "270b6924e94c4872a2a2383008e94570",
          "2819250cc5ed45be87f925ef28420f02",
          "75b52857f5d64659914fd1449c223669",
          "bf33c19d54894c93ad87d7b14e96c759",
          "f0231af3315c413587c476091ca1b12d"
        ],
        "min_legal_probability": 0.0106201171875
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 63,
        "selected": 47,
        "expected_selections": 48.011962890625,
        "max_candidate_count": 38,
        "max_valid_feedback": 44,
        "selected_parent_ids": [
          "0868f8c6668d46d987e59199dce5922d",
          "0b1c4b161d054de3afc9c7a13347fc2c",
          "0be1bffa41314b4894cef4356fccab46",
          "1a70346b642c47b1b7d50993e07dbc8d",
          "23b471611e904906ad10fd0e091e7659",
          "267fe2403ca7406f934c7ee2bdf331b6",
          "420793103a3b461f8240483e6bec86ab",
          "44287a0551a34f9d9dc9e2f44b25a7dd",
          "53072b20ff3b4b88b2a95bcc4ddf92e7",
          "62419ae0350f4d46a1611e0cf1ff2f8a",
          "74ae283fd18146e7a0c813d39b2e6d9f",
          "7bc3e3991c90417a97518b9b1274b45b",
          "81922d10b80644aea15de96b272334d8",
          "81fb0afb13984316b9b6f1099269aaa3",
          "89fec4b4ed3c4d1db2638a9ae62d2fc7",
          "b8763eef6b854752b363cbe979420e31",
          "c6a3e7d425d940918f745da17eb10b4e",
          "e7aba7fa16d84115983defc12686b644",
          "f5474ed8f0fc42f8b1bab74660eaa4ad",
          "f87ad55484f7448a918ef8308d7dac73"
        ],
        "min_legal_probability": 0.10992431640625
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 33
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "c6a3e7d425d940918f745da17eb10b4e",
      "metric": 496.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_019_kissing_number_d11_noise075_prior9/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_019_kissing_number_d11_noise075_prior9/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 496,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "3220c6adda192effb2805125ed92b9d28d648d6821ba9977a9d68d729a779a32"
      },
      "completed_nodes": 68
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 31.0,
    "delta_auc_vs_same_model_baseline": 359586.19811344147
  },
  {
    "run_id": "luna_020_kissing_number_d11_noise075_prior36",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "noise075_prior36",
    "state": "finished",
    "job": "951714",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_003_noise_prior/campaign/configs/kissing_number_d11_noise075_prior36.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 350.0,
    "auc_score_seconds": 4304922.022189379,
    "completed_budget": true,
    "best_observed_score": 350.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 68,
    "evaluated_candidates": 77,
    "invalid_or_censored_candidates": 9,
    "ordinary_decisions": 68,
    "selected_operator_counts": {
      "improve": 38,
      "evolution": 24,
      "fusion": 6
    },
    "first_operator_dispatch_seconds": {
      "evolution": 4661.968384027481,
      "fusion": 7751.019752264023,
      "improve": 1453.025335073471
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 16,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 1,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 2,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 26,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 23
    },
    "branch_selection_hhi": 0.3170415224913495,
    "mean_p_posterior_best": 0.27187302533318014,
    "mean_p_legal_parent_best": 0.2246856689453125,
    "mean_p_global_parent_best": 0.13683094697840073,
    "mean_p_cross_mean_branch": 0.39843031939338236,
    "mean_p_near_optimal_parents": 0.37648459041819854,
    "mean_p_non_mean_best": 0.7281269746668199,
    "actual_legal_best_frequency": 0.2647058823529412,
    "actual_posterior_best_frequency": 0.27941176470588236,
    "actual_global_best_frequency": 0.17647058823529413,
    "actual_near_optimal_parent_frequency": 0.4264705882352941,
    "actual_cross_mean_branch_frequency": 0.38235294117647056,
    "global_champion_available_frequency": 0.6470588235294118,
    "global_best_tied_decisions": 1,
    "legal_best_tied_decisions": 8,
    "posterior_best_tied_decisions": 6,
    "multi_candidate_decisions": 68,
    "llm_finished_calls": 264,
    "llm_successful_calls": 264,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 2195362,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_020_kissing_number_d11_noise075_prior36",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_020_kissing_number_d11_noise075_prior36/search/logs",
    "timeout_candidates": 1,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 6,
    "non_draft_completed": 69,
    "non_draft_valid": 63,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 19.185713333331503,
    "all_decision_means": {
      "p_posterior_best": 0.27187302533318014,
      "p_legal_parent_best": 0.2246856689453125,
      "p_global_parent_best": 0.13683094697840073,
      "p_cross_mean_branch": 0.39843031939338236,
      "p_non_mean_best": 0.7281269746668199,
      "selected_posterior_best": 0.27941176470588236,
      "selected_legal_parent_best": 0.2647058823529412,
      "selected_global_parent_best": 0.17647058823529413,
      "selected_cross_mean_branch": 0.38235294117647056,
      "minimum_legal_branch_probability": 0.019183888154871324
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 67,
        "selected": 2,
        "expected_selections": 1.26861572265625,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 66,
        "selected": 23,
        "expected_selections": 24.07269287109375,
        "max_candidate_count": 16,
        "max_valid_feedback": 18,
        "selected_parent_ids": [
          "0572bb835cf44af591d2f1c8b111fae5",
          "18414ce819414155ba05377b7cf4b84f",
          "1d378b52af1a45a9826662a5e7d746c7",
          "31d473b9ef914383ac67a78fcb1364c1",
          "46dd294fc92a45099b869a109e991b7f",
          "547e45e6b0034050aadad49dd9c6d9b6",
          "73c087beb7dc44778b0337e747614b81",
          "8ac3e6d11ac74a6abda581d5c6cd49a0",
          "bc1ed03979f848ba9de582ffbf80f0dd",
          "ca02d8b939a04758b648057ff08ef089",
          "e7465484857143b4a3cc996b94a4ff3e",
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.00531005859375
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 65,
        "selected": 1,
        "expected_selections": 0.6112060546875,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "b970446104074e2fbd6f511ca6e549b0"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 66,
        "selected": 26,
        "expected_selections": 23.893310546875,
        "max_candidate_count": 23,
        "max_valid_feedback": 26,
        "selected_parent_ids": [
          "07dd2c843f9d45ce872e4b62745128dd",
          "215c86bd312f44f6a49333f27ec9b33f",
          "261e0ab258974a0e847b571dcb45f64e",
          "270b6924e94c4872a2a2383008e94570",
          "5377470e3f9e46daa24e089b75b28737",
          "54800f4e3c3c496fae717a2db233f4ff",
          "7d3e6281c88b4b41b2f1456ea39716ce",
          "7e7db20da1fb4cb4be75a8cd4bd9105b",
          "afcf9950222947af8782bb9e71d9115b",
          "b8f33a04977b4b11afd0c45c9ba5c3a7",
          "beef002e8f874a5cb89f2368bb6b7763",
          "c8ccb8bee0cd4a37ac09b4f44fa7f74e",
          "f29519c402e94aac9df66895b961b7fb"
        ],
        "min_legal_probability": 0.01788330078125
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 65,
        "selected": 16,
        "expected_selections": 18.1541748046875,
        "max_candidate_count": 14,
        "max_valid_feedback": 16,
        "selected_parent_ids": [
          "028e50b69af745efa55f6ba9460ab288",
          "22a30b2c35e24971968bea6e49cdcf80",
          "39f1661313154cd7999c0cfb5f46ad8c",
          "53fa43175bbc4ce2862f26b3cae83476",
          "756fe0f1cd214fd1ae013c92bd12cb03",
          "81922d10b80644aea15de96b272334d8",
          "c724918398e34fe7b64a70f0ff806c3d",
          "f3904b9381dc4f9bab3d1340dc213a8a"
        ],
        "min_legal_probability": 0.08673095703125
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 21,
      "native_child_limit_or_topk_gate": 3
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "bc1ed03979f848ba9de582ffbf80f0dd",
      "metric": 350.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_020_kissing_number_d11_noise075_prior36/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_020_kissing_number_d11_noise075_prior36/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 350,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "e26088695f82e1ff851269e7d9faabcf8ac185add20d1c3b31481d0f9ff3d590"
      },
      "completed_nodes": 74
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": -115.0,
    "delta_auc_vs_same_model_baseline": -1076990.7216706276
  },
  {
    "run_id": "luna_021_circle_packing_rectangle_operation_corr0",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "operation_corr0",
    "state": "finished",
    "job": "951734",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_004_operation_correlation/campaign/configs/circle_packing_rectangle_operation_corr0.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.365832375947946,
    "auc_score_seconds": 33072.91677267095,
    "completed_budget": true,
    "best_observed_score": 2.365832375947946,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 222,
    "evaluated_candidates": 238,
    "invalid_or_censored_candidates": 16,
    "ordinary_decisions": 220,
    "selected_operator_counts": {
      "improve": 81,
      "evolution": 109,
      "fusion": 30
    },
    "first_operator_dispatch_seconds": {
      "evolution": 2313.654405593872,
      "fusion": 7295.636376142502,
      "improve": 970.0242812633514
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 67,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 68,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 6,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 78,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1
    },
    "branch_selection_hhi": 0.3147520661157025,
    "mean_p_posterior_best": 0.1440096768465909,
    "mean_p_legal_parent_best": 0.09967207475142045,
    "mean_p_global_parent_best": 0.0928683194247159,
    "mean_p_cross_mean_branch": 0.5564192338423295,
    "mean_p_near_optimal_parents": 0.5111547296697443,
    "mean_p_non_mean_best": 0.8559903231534091,
    "actual_legal_best_frequency": 0.09090909090909091,
    "actual_posterior_best_frequency": 0.10909090909090909,
    "actual_global_best_frequency": 0.09090909090909091,
    "actual_near_optimal_parent_frequency": 0.5545454545454546,
    "actual_cross_mean_branch_frequency": 0.6181818181818182,
    "global_champion_available_frequency": 0.9227272727272727,
    "global_best_tied_decisions": 133,
    "legal_best_tied_decisions": 124,
    "posterior_best_tied_decisions": 13,
    "multi_candidate_decisions": 220,
    "llm_finished_calls": 783,
    "llm_successful_calls": 783,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 0,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 8634114,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_021_circle_packing_rectangle_operation_corr0",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_021_circle_packing_rectangle_operation_corr0/search/logs",
    "timeout_candidates": 1,
    "censored_candidates": 1,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 15,
    "non_draft_completed": 232,
    "non_draft_valid": 217,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 62.188575266636526,
    "all_decision_means": {
      "p_posterior_best": 0.1440096768465909,
      "p_legal_parent_best": 0.09967207475142045,
      "p_global_parent_best": 0.0928683194247159,
      "p_cross_mean_branch": 0.5564192338423295,
      "p_non_mean_best": 0.8559903231534091,
      "selected_posterior_best": 0.10909090909090909,
      "selected_legal_parent_best": 0.09090909090909091,
      "selected_global_parent_best": 0.09090909090909091,
      "selected_cross_mean_branch": 0.6181818181818182,
      "minimum_legal_branch_probability": 0.004225297407670455
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 220,
        "selected": 1,
        "expected_selections": 1.20953369140625,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 220,
        "selected": 78,
        "expected_selections": 82.29742431640625,
        "max_candidate_count": 58,
        "max_valid_feedback": 76,
        "selected_parent_ids": [
          "0e903e2f6b86467e99be0465e0585d65",
          "1276f02905f24aafbad05a2a1343cb8e",
          "16c573dcbac944ab9d696f08d85c78f0",
          "219c19517d964c98b28807b2a55997e7",
          "256d49274607471f9255757493f7dfeb",
          "29b679cdbf4f48b8841fab2e4f3f00ac",
          "3a1f7ef9f8d04eb5962011efba1cd669",
          "3c4cc68a72e64af5b52bf48b25e70021",
          "439c26fa6ab34907bdb8a561c4aa51b4",
          "47ade4a261e24d8581a4583b91579940",
          "489942465f984f779ebd5f3410c1fafc",
          "49ab09071a444afc85ef0f12053935f1",
          "4f8cbfdabd984284afc145126ab23982",
          "53890067a3624d2f95c34f662b757881",
          "54085145a2404edda7352275e8b2e8fa",
          "5be69dad61cc4e5da97d7423868ef58c",
          "607ca3c304354720971ec6dacf816d38",
          "739a82a8d0374bb48099d61be14602de",
          "7a58194d16ce4900bfff32411da9fe74",
          "7b5893ff7fc249a5be36c61c52344c11",
          "7e5bb8a4d4bb44a6b44daebbbe457ada",
          "87c583bb4ed9495a966935d5da2ba657",
          "910375526e38421ba819e6d048c96883",
          "9219a7f15ea04933840c44ea9257aab3",
          "9fc0fee5f1ae4cedbf3d63e25535a2ca",
          "a2244db6af0447709074b4efe9c2eaea",
          "b391c361e60c4f11ad1aa42aaf202bd8",
          "b57fda1130554b118906993e133f4bd3",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "bf296642df1e4403bfee583b925239ed",
          "c8fc9af3e9d04844a6d3294e50b8ce39",
          "d39c156e850244668b6e3409b0147b3c",
          "d8c249d7e7f046d9b7186d41645068ea",
          "de8f26dfbb1c4cf5b55a0ab70e5c6e47",
          "ed5fc4d0a13b4135ad6be076e63f99d5"
        ],
        "min_legal_probability": 0.046630859375
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 215,
        "selected": 6,
        "expected_selections": 9.0096435546875,
        "max_candidate_count": 7,
        "max_valid_feedback": 6,
        "selected_parent_ids": [
          "3a59448065f84449867c9d8193a57daa",
          "3d902adca03347d794ddc0fe299de6d4",
          "3fced6bd244d44e58c572ba8b17340de",
          "9bbed09b1042439da639a3ed879bfce2"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 218,
        "selected": 67,
        "expected_selections": 64.0582275390625,
        "max_candidate_count": 51,
        "max_valid_feedback": 65,
        "selected_parent_ids": [
          "03afbebb474f444590fe4f8467fd942d",
          "0592af6103e54fbebf0bfaa44dd08e23",
          "05f7049dc6554aceaf09533f09d21769",
          "0c8b0113ef404119b29453e7751338f4",
          "1150bfe0e22c408f9e90b1894ff4cf5b",
          "131d3b44c2ca43189c63ca2517fe3ca3",
          "19daab7e882549fe88fd381f2e335cb5",
          "26ca6b0113f440dc9d96299d4a4f0a63",
          "279b57da978049bdb915c51f701ee415",
          "2c72d717d7c647169df09e6abe3f62bb",
          "34fc69ac54304c3c97483b693716a440",
          "5c988da46bbc4d408bd19b87e3f6c166",
          "631e4ad9a86e46bb99f93c68da1448e2",
          "692331cdfc064535a39e3a4f7c720587",
          "6ae181c4077c4771a4322f9ffe86e7a3",
          "6ed462f27f554b4f8f51daa282bb38d8",
          "73cdf9f125cf4e8cb974f6fa422f38d5",
          "7a65b5b83d1f4b718083afdc9e7c49cf",
          "832ce474e6fa4f2ab60afc8b03c97b3d",
          "8ac73f7088d94c7cad98290fc6ce2a30",
          "8f3be5776e3443d79a7e488c07205677",
          "a057d79cf0a14ac5982d85fce3a766da",
          "a3732c7bb86a4d63beea5bf7dbd661ad",
          "b329dfaf5e36456f9a3d959f9e86311b",
          "b7b11dadb6aa4bb5ad9071691c400944",
          "cf7c91f7b17b4b0596acca8aa6a1c4af",
          "cf8dd1e73b10409abccc12828c46c51f",
          "d1ec6c7ee5cf4e87961e3072da62c7f0",
          "db512ceafa184edebff2fbe639e0350d",
          "de870c501999434cad8a070906e6e490",
          "e0df16598def406a822ddaea02b5312c",
          "f630a597545d4ecca6c6906aed8a0f73",
          "fd5e1a2e0bdc4264acd91d13086804bb",
          "fe0daede55d048c68fb1e49070e065b1"
        ],
        "min_legal_probability": 0.03997802734375
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 216,
        "selected": 68,
        "expected_selections": 63.4251708984375,
        "max_candidate_count": 53,
        "max_valid_feedback": 66,
        "selected_parent_ids": [
          "03c7a1eaf78f406d90424b59bd18d491",
          "10032411aebd4e78ab85d05b4d6c7b6b",
          "1059a5a1c95d43369274449fbb17942b",
          "179a966ae72e4d97801759ce1e4a05fd",
          "1c1ce95bcf4748cd81f3a471f3cc967e",
          "2b1a59a60e604d5cafd4ff05474fe01a",
          "385c1b8ebf93495c8d57602661c4cad3",
          "39ea1449399443c88edfdceed067cf16",
          "3abfbb1e778947308810a2cea6a5c610",
          "45a4d39453fd48d8b5f5b71ef9d874a7",
          "63b26544ad7b4d29a652c7baa8ec1eba",
          "6b34fe1d45cf498db73be132a5284c61",
          "7313a357e3f34662b44b9cf48bf5c4c7",
          "7623a07833ca4147adf9d41db6911d33",
          "788cc110b4ba42adaea61acece708b68",
          "832dbd204a564696af4603bd6d027e0b",
          "863ddbe148f84a30a515e7c2db28cf8a",
          "887c59b5f06b46a29f06005e0f1d8626",
          "8f9afda485e84abcb5d0c38c47343950",
          "9caca57754f54ee2b0907746cd2272c6",
          "a50b1c6045f34243b7fe709a21eb7dce",
          "a559478f98ae438d81644b377514840d",
          "a7e6c4bd2b004125b5f38f9a2aca15b2",
          "aea4bb27f92d48e285cba505ebd60611",
          "b95a09c268aa4c068ab54579452555ed",
          "d9affda84d8f414ca39df139d42ae8de",
          "dd84450c476b4cc0af33726c7680681b",
          "e2a387a0eaa44aa28851f8c840e7200a",
          "e36034693a114f41bf066b33986f1784",
          "ebde8cc9831a44cbb293adcb0b72daf0",
          "ebf085946ec94dbab941df08152d5ad3",
          "fe09f0598a264899933c8251e1d763da"
        ],
        "min_legal_probability": 0.02154541015625
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 71,
      "native_child_limit_or_topk_gate": 64
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "71e78443daa44b2aae7633385ed9fd55",
      "metric": 2.365832375947946,
      "maximize": true,
      "protocol_id": "c3658c55eee1c9501ab6f3e19c91e4685406b7930df172755307230fc02cc75d",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_021_circle_packing_rectangle_operation_corr0/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_021_circle_packing_rectangle_operation_corr0/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.365832375947946,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "cf6b2bfe1f2267816398ce02bfedb4a69083dcc6502f396f69542ea15ff5a6c5"
      },
      "completed_nodes": 237
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": -1.4250955970851464e-10,
    "delta_auc_vs_same_model_baseline": -8.445917466851824
  },
  {
    "run_id": "luna_022_circle_packing_rectangle_operation_corr075",
    "task": "circle_packing_rectangle",
    "model_stage": "luna",
    "variant": "operation_corr075",
    "state": "finished",
    "job": "951735",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_004_operation_correlation/campaign/configs/circle_packing_rectangle_operation_corr075.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.3658323760077167,
    "auc_score_seconds": 33078.46953157752,
    "completed_budget": true,
    "best_observed_score": 2.3658323760077167,
    "auc_start_seconds": 387.675017118454,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 74,
    "evaluated_candidates": 81,
    "invalid_or_censored_candidates": 7,
    "ordinary_decisions": 72,
    "selected_operator_counts": {
      "improve": 39,
      "evolution": 25,
      "fusion": 8
    },
    "first_operator_dispatch_seconds": {
      "evolution": 5362.752515554428,
      "fusion": 8644.340591430664,
      "improve": 970.0275948047638
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:aef33066ac2948638a969569a17460ce": 17,
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": 18,
      "AQ04:ac96755741f143078819f0e9f3b2c105": 3,
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": 33,
      "AQ04:2ee0547ec815412ebb866e7a09336931": 1
    },
    "branch_selection_hhi": 0.3302469135802469,
    "mean_p_posterior_best": 0.2300847371419271,
    "mean_p_legal_parent_best": 0.29257286919487846,
    "mean_p_global_parent_best": 0.27267201741536456,
    "mean_p_cross_mean_branch": 0.4996151394314236,
    "mean_p_near_optimal_parents": 0.6599502563476562,
    "mean_p_non_mean_best": 0.7699152628580729,
    "actual_legal_best_frequency": 0.3194444444444444,
    "actual_posterior_best_frequency": 0.2222222222222222,
    "actual_global_best_frequency": 0.3194444444444444,
    "actual_near_optimal_parent_frequency": 0.625,
    "actual_cross_mean_branch_frequency": 0.5833333333333334,
    "global_champion_available_frequency": 0.9444444444444444,
    "global_best_tied_decisions": 59,
    "legal_best_tied_decisions": 57,
    "posterior_best_tied_decisions": 31,
    "multi_candidate_decisions": 72,
    "llm_finished_calls": 286,
    "llm_successful_calls": 286,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 2,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 2953215,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_022_circle_packing_rectangle_operation_corr075",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_022_circle_packing_rectangle_operation_corr075/search/logs",
    "timeout_candidates": 1,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 4,
    "non_draft_completed": 73,
    "non_draft_valid": 69,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 969.8804576396942,
    "non_draft_candidates_per_search_hour": 19.567956872691667,
    "all_decision_means": {
      "p_posterior_best": 0.2300847371419271,
      "p_legal_parent_best": 0.29257286919487846,
      "p_global_parent_best": 0.27267201741536456,
      "p_cross_mean_branch": 0.4996151394314236,
      "p_non_mean_best": 0.7699152628580729,
      "selected_posterior_best": 0.2222222222222222,
      "selected_legal_parent_best": 0.3194444444444444,
      "selected_global_parent_best": 0.3194444444444444,
      "selected_cross_mean_branch": 0.5833333333333334,
      "minimum_legal_branch_probability": 0.013399759928385416
    },
    "branch_opportunities": {
      "AQ04:2ee0547ec815412ebb866e7a09336931": {
        "legal_decisions": 72,
        "selected": 1,
        "expected_selections": 2.1593017578125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "2dde7edf5e8c4c43a45a2dc9097eb06c"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:68aa12b7858146c4bdb78aa53d8017a8": {
        "legal_decisions": 68,
        "selected": 33,
        "expected_selections": 32.1148681640625,
        "max_candidate_count": 24,
        "max_valid_feedback": 30,
        "selected_parent_ids": [
          "0e5aa24183a64ae792f6d15b5bb77f3a",
          "0f5496b317cc4285b34c882b9731202a",
          "148ce12f9c7248a5bc9e208e4f5454b7",
          "16b7607cddfc4171b083e6387af99e38",
          "32a089195362459a8157994ddfef7042",
          "3bc0ce406913443e88b89a183cf41f3f",
          "5445f9e669d94d11bd9134e85ccd6a0f",
          "5b815784600e440295c2a9656ab9a051",
          "5d8062ca00e44ff88eff121e2158eed2",
          "6858aa9472834a94939b403d5246fb4d",
          "89759886a29c4edaaf43b899e1221058",
          "ac60d55e015b49928942250e89454f97",
          "b8f91c7d91264f07a3be8a4e03e222e0",
          "bcb1b6245d9f4eeca95e76af858ab11b",
          "e09cca594ddb4cdabee9cb70874412f7",
          "fc6dc8fc454842e2bb539943ea0d301d"
        ],
        "min_legal_probability": 0.1165771484375
      },
      "AQ04:ac96755741f143078819f0e9f3b2c105": {
        "legal_decisions": 70,
        "selected": 3,
        "expected_selections": 2.34173583984375,
        "max_candidate_count": 4,
        "max_valid_feedback": 3,
        "selected_parent_ids": [
          "3d902adca03347d794ddc0fe299de6d4",
          "b310226bdbab45519ca76cb2cb7111ce",
          "ecb338dcea6647b0933083e57e0217aa"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:aef33066ac2948638a969569a17460ce": {
        "legal_decisions": 70,
        "selected": 17,
        "expected_selections": 14.83709716796875,
        "max_candidate_count": 16,
        "max_valid_feedback": 17,
        "selected_parent_ids": [
          "0ed27822045747f6b5c8875620caade5",
          "13febaff4d7a47758c6c115ad9e99a43",
          "24c3f9c3042b4d709cffa6332fa49867",
          "27e1c105b5d94249aba4a06f8edd28f2",
          "565c5508ee764c4bb1cb575f5c11732d",
          "60a7a0cf4f3e41b1a68f00b652e5eac8",
          "7d607fd4227f412d99f040e03bf22924",
          "8f0db84687d740e1aa961ea390332b06",
          "b16a8ca6f1be49b49e4d3471dc73ff21",
          "bb5956253c3f43c0a83502d025fab54f",
          "cf7c91f7b17b4b0596acca8aa6a1c4af"
        ],
        "min_legal_probability": 0.03533935546875
      },
      "AQ04:f7079316fd794ce59a0931ded07a2b3c": {
        "legal_decisions": 70,
        "selected": 18,
        "expected_selections": 20.5469970703125,
        "max_candidate_count": 17,
        "max_valid_feedback": 18,
        "selected_parent_ids": [
          "371fcdeed04948efaa7897b65c13535f",
          "5bda2e84d40c48de94631b73f71a66db",
          "62e25006f2c9482f97b4d64d3d439e95",
          "664e090e183649ebb8079684765007fb",
          "981370eced81498b9161b300c6508c77",
          "9b5b8179cd65413186142ee9799799f0",
          "aea4bb27f92d48e285cba505ebd60611",
          "ddb2a4e2907a413fa76d3d2805fa7134",
          "ddfc4bf34fe04df1bf203d5179eff89d",
          "f3cc47fac66347cf8e6b1238cac2356e"
        ],
        "min_legal_probability": 0.00994873046875
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 49,
      "native_child_limit_or_topk_gate": 66
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "0e5aa24183a64ae792f6d15b5bb77f3a",
      "metric": 2.3658323760077167,
      "maximize": true,
      "protocol_id": "c3658c55eee1c9501ab6f3e19c91e4685406b7930df172755307230fc02cc75d",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_022_circle_packing_rectangle_operation_corr075/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_022_circle_packing_rectangle_operation_corr075/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.3658323760077167,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "3a2416ebe31f58a7a37f890e3e2fb657505f3aa28a18406c4a2b8200a045a8ab"
      },
      "completed_nodes": 78
    },
    "baseline_run_id": "luna_001_circle_packing_rectangle_aq04",
    "delta_final_vs_same_model_baseline": -8.273870477637502e-11,
    "delta_auc_vs_same_model_baseline": -2.893158560284064
  },
  {
    "run_id": "luna_023_kissing_number_d11_operation_corr0",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "operation_corr0",
    "state": "finished",
    "job": "951736",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_004_operation_correlation/campaign/configs/kissing_number_d11_operation_corr0.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 552.0,
    "auc_score_seconds": 6358946.854703426,
    "completed_budget": true,
    "best_observed_score": 552.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 103,
    "evaluated_candidates": 117,
    "invalid_or_censored_candidates": 14,
    "ordinary_decisions": 104,
    "selected_operator_counts": {
      "improve": 51,
      "evolution": 43,
      "fusion": 10
    },
    "first_operator_dispatch_seconds": {
      "evolution": 3101.621558904648,
      "fusion": 7601.170111179352,
      "improve": 1453.0043923854828
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 28,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 1,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 2,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 72,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 1
    },
    "branch_selection_hhi": 0.5523298816568046,
    "mean_p_posterior_best": 0.4187933114858774,
    "mean_p_legal_parent_best": 0.4523462148813101,
    "mean_p_global_parent_best": 0.33356417142427885,
    "mean_p_cross_mean_branch": 0.18028376652644232,
    "mean_p_near_optimal_parents": 0.45514150766225964,
    "mean_p_non_mean_best": 0.5812066885141226,
    "actual_legal_best_frequency": 0.40384615384615385,
    "actual_posterior_best_frequency": 0.40384615384615385,
    "actual_global_best_frequency": 0.34615384615384615,
    "actual_near_optimal_parent_frequency": 0.40384615384615385,
    "actual_cross_mean_branch_frequency": 0.23076923076923078,
    "global_champion_available_frequency": 0.625,
    "global_best_tied_decisions": 44,
    "legal_best_tied_decisions": 32,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 104,
    "llm_finished_calls": 394,
    "llm_successful_calls": 394,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 2,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 3419302,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_023_kissing_number_d11_operation_corr0",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_023_kissing_number_d11_operation_corr0/search/logs",
    "timeout_candidates": 2,
    "censored_candidates": 2,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 12,
    "non_draft_completed": 110,
    "non_draft_valid": 98,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 30.585919806760366,
    "all_decision_means": {
      "p_posterior_best": 0.4187933114858774,
      "p_legal_parent_best": 0.4523462148813101,
      "p_global_parent_best": 0.33356417142427885,
      "p_cross_mean_branch": 0.18028376652644232,
      "p_non_mean_best": 0.5812066885141226,
      "selected_posterior_best": 0.40384615384615385,
      "selected_legal_parent_best": 0.40384615384615385,
      "selected_global_parent_best": 0.34615384615384615,
      "selected_cross_mean_branch": 0.23076923076923078,
      "minimum_legal_branch_probability": 0.006775489220252404
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 103,
        "selected": 2,
        "expected_selections": 0.887451171875,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "2f28a4f6ce3d4d269a39887295c16982",
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 103,
        "selected": 1,
        "expected_selections": 1.0128173828125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 103,
        "selected": 1,
        "expected_selections": 0.96563720703125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "b970446104074e2fbd6f511ca6e549b0"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 102,
        "selected": 72,
        "expected_selections": 76.298828125,
        "max_candidate_count": 60,
        "max_valid_feedback": 68,
        "selected_parent_ids": [
          "0dfb747eacaa495499c84d206ede98c8",
          "1ef5599a3958413ea184af179c9db3c4",
          "20957af5c5c4469cbc69d2abbaea93f7",
          "270b6924e94c4872a2a2383008e94570",
          "271aff37d8094313a5fc69e8e5d23959",
          "28c7931624674a42a1084eb302b06da4",
          "3020ba046fb6428f9757d6bfdd157a29",
          "356d33df55d444d5b94f3a6bb16943b9",
          "3e64109e6069455c8a8ec7357ad92b0f",
          "49a3f0be84454196b1365a163cedeee2",
          "5d759434f7b1471e96764fd6c9c7a6c5",
          "6167f7b1cea14102803585fb58915c7b",
          "66b30b452ccb4846bbc5ffe19edd42b9",
          "66cd65bebe194225a8bfc0eea566fb32",
          "688496826e964b9d9eda54c488f1bacb",
          "7ac24ffcbaa64ee6beff973d3b6a0ab8",
          "7df070cdef254992be9796f85b82b0b6",
          "82d7eead039940738e81e4513f23c4af",
          "838a39f1e0ea4a45afe630cfc7af9712",
          "86c8e42e49fa4501ae2fb6b2b01da544",
          "9c6a10d5a28f4cfa8ab9764f0a07e437",
          "9f77c39c67814e3ba2f9526ca4328ce0",
          "a339b250cf4c487a8258ea5432a5bbfc",
          "b8d9a11a4b9a4b3eab85c2b712ada2e5",
          "d3ce7a83b8c8456a8fcbb7f785e3bc13",
          "d4ca9cadae1a45f999cb037d291f020c",
          "d52f1110e8a840ec87d645f819619279",
          "ea3f04a3061649b3bfe6f00489fc6344",
          "ea62ad98e70a4da68f5242befb15f81a",
          "ed8ff6d5e36d483a93bb35bf7c1e89df",
          "ef3865d3739447d48b781934a1da943c",
          "f8c2fd43a26f416fad232f83b902d272"
        ],
        "min_legal_probability": 0.02130126953125
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 102,
        "selected": 28,
        "expected_selections": 24.83526611328125,
        "max_candidate_count": 24,
        "max_valid_feedback": 26,
        "selected_parent_ids": [
          "18471b28690a45cb841d921cfeaf059f",
          "40425c93d0c340ad84e1cdd28eea54bf",
          "419bf2fa94e1487d83098937bab17a76",
          "49f107e3b0e3407a81252d0c452f8bf1",
          "5ef587fecd3649a58350155f11f89d53",
          "60f9aacf6ca2483f89e96a244a3c5a67",
          "68b1ca11ddc040f08d7783ac392e5686",
          "6eccf9795e14402da70c93a46f998517",
          "765d4a4c47894fa8aaae1042f812df10",
          "81922d10b80644aea15de96b272334d8",
          "a06a3fb056034de4b3d39c436438f4fb",
          "b2e8359a1ccb4d64abf4377bc395c586",
          "bb4e2ccba65f420aa620fbe28d7fb15f",
          "f85e67bb943649f4b01b4e54ec4807c5"
        ],
        "min_legal_probability": 0.00146484375
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 62,
      "native_child_limit_or_topk_gate": 10
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "0dfb747eacaa495499c84d206ede98c8",
      "metric": 552.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_023_kissing_number_d11_operation_corr0/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_023_kissing_number_d11_operation_corr0/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 552,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "813a886dbe11592cb44823e9b0bab4bcbcbc4a6b5091f7a60daf4fd7932eb9fc"
      },
      "completed_nodes": 115
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 87.0,
    "delta_auc_vs_same_model_baseline": 977034.11084342
  },
  {
    "run_id": "luna_024_kissing_number_d11_operation_corr075",
    "task": "kissing_number_d11",
    "model_stage": "luna",
    "variant": "operation_corr075",
    "state": "finished",
    "job": "951733",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/iteration_004_operation_correlation/campaign/configs/kissing_number_d11_operation_corr075.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 526.0,
    "auc_score_seconds": 5584676.821314812,
    "completed_budget": true,
    "best_observed_score": 526.0,
    "auc_start_seconds": 844.4124772548676,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 68,
    "evaluated_candidates": 74,
    "invalid_or_censored_candidates": 6,
    "ordinary_decisions": 66,
    "selected_operator_counts": {
      "improve": 37,
      "evolution": 21,
      "fusion": 8
    },
    "first_operator_dispatch_seconds": {
      "evolution": 5927.541496038437,
      "fusion": 8037.832864999771,
      "improve": 1453.0370919704437
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": 23,
      "AQ04:bf3863d31d944cde852eb957ea8576c9": 9,
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": 1,
      "AQ04:55e22ebab2a24c399101456ef77e0e75": 2,
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": 31
    },
    "branch_selection_hhi": 0.3617998163452709,
    "mean_p_posterior_best": 0.418487548828125,
    "mean_p_legal_parent_best": 0.3073388301964962,
    "mean_p_global_parent_best": 0.20836477568655304,
    "mean_p_cross_mean_branch": 0.25443984522964014,
    "mean_p_near_optimal_parents": 0.2583091042258523,
    "mean_p_non_mean_best": 0.581512451171875,
    "actual_legal_best_frequency": 0.2878787878787879,
    "actual_posterior_best_frequency": 0.36363636363636365,
    "actual_global_best_frequency": 0.18181818181818182,
    "actual_near_optimal_parent_frequency": 0.21212121212121213,
    "actual_cross_mean_branch_frequency": 0.3333333333333333,
    "global_champion_available_frequency": 0.696969696969697,
    "global_best_tied_decisions": 0,
    "legal_best_tied_decisions": 2,
    "posterior_best_tied_decisions": 0,
    "multi_candidate_decisions": 66,
    "llm_finished_calls": 255,
    "llm_successful_calls": 255,
    "llm_failed_calls": 0,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 3,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": 2214873,
    "llm_usage": {
      "input": null,
      "output": null,
      "reasoning": null,
      "cache_read": null,
      "cache_write": null,
      "cost": null
    },
    "llm_model_effort": [
      [
        "gpt-6-luna",
        "medium"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_024_kissing_number_d11_operation_corr075",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_024_kissing_number_d11_operation_corr075/search/logs",
    "timeout_candidates": 0,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 3,
    "non_draft_completed": 66,
    "non_draft_valid": 63,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1452.8660736083984,
    "non_draft_candidates_per_search_hour": 18.35155188405622,
    "all_decision_means": {
      "p_posterior_best": 0.418487548828125,
      "p_legal_parent_best": 0.3073388301964962,
      "p_global_parent_best": 0.20836477568655304,
      "p_cross_mean_branch": 0.25443984522964014,
      "p_non_mean_best": 0.581512451171875,
      "selected_posterior_best": 0.36363636363636365,
      "selected_legal_parent_best": 0.2878787878787879,
      "selected_global_parent_best": 0.18181818181818182,
      "selected_cross_mean_branch": 0.3333333333333333,
      "minimum_legal_branch_probability": 0.011027943004261364
    },
    "branch_opportunities": {
      "AQ04:43e3cfe111624702b0be87d8c2b291b2": {
        "legal_decisions": 65,
        "selected": 1,
        "expected_selections": 0.759033203125,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "a6cc5af4f48544c69eb65b065442f25a"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:55e22ebab2a24c399101456ef77e0e75": {
        "legal_decisions": 64,
        "selected": 2,
        "expected_selections": 2.56951904296875,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "e8be9af89aa14b449fa7a1d77646c9e5",
          "f15072a9524a42f0afde7cfaf7742b91"
        ],
        "min_legal_probability": 0.000244140625
      },
      "AQ04:bf3863d31d944cde852eb957ea8576c9": {
        "legal_decisions": 63,
        "selected": 9,
        "expected_selections": 11.71905517578125,
        "max_candidate_count": 9,
        "max_valid_feedback": 8,
        "selected_parent_ids": [
          "b970446104074e2fbd6f511ca6e549b0",
          "cba859b98a37413cbc00c85c9cf27b32",
          "cdb5816ab6ee41f3aa0695b5bda50507",
          "d7c225cf8ecb4e5d8c90a24ebff84edb",
          "e3847ca7c52d451788666109d97ce836",
          "ecadc64cf03c4435a5993bab3eb630ba"
        ],
        "min_legal_probability": 0.00323486328125
      },
      "AQ04:de52b23bd870418ea2726fe84cbf3e3d": {
        "legal_decisions": 64,
        "selected": 31,
        "expected_selections": 28.84576416015625,
        "max_candidate_count": 25,
        "max_valid_feedback": 29,
        "selected_parent_ids": [
          "03b80025ce2a4788a440ea68ece05fcf",
          "270b6924e94c4872a2a2383008e94570",
          "29b34d60e4904a9798ac6b8b7f98ae4a",
          "2cf45715ca644dd194f4234b48309b5b",
          "474a9e35a1f94378bb9bfba51eb5ed32",
          "491069f6fabc465e83bd3430a15a7988",
          "52a3e2b193bd4948b095a613d3266072",
          "6ae70de32f5e41d79669ca432d6db1e8",
          "71286b2eff76484a87a265f6f8c04441",
          "7a50f55f9c284f41b8acf27e78377613",
          "8b71ab522a704aa19d585262a21fa879",
          "b47a722ac4c54408b2353e2ba2466a12",
          "e83873eeffc14b6986b9bde08a93b72b",
          "eafb951ed1ec4153988adc6e17abd6de",
          "eb255cad32bb44108d9fdbc30e5ce0cd",
          "f662736f84a9433ea1bdcca426d3cd5b"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:f20e3b47a0b844459816efb3e3e4586d": {
        "legal_decisions": 64,
        "selected": 23,
        "expected_selections": 22.10662841796875,
        "max_candidate_count": 20,
        "max_valid_feedback": 23,
        "selected_parent_ids": [
          "0281bd8123db4b2ea1952322f7a4ff9a",
          "1f53487d55d0419890b6e9d378b581f5",
          "2ecb5e4422644a44ab11bf203cd41a87",
          "49c71ec7a7c64bd497975ff36b1b0afb",
          "81922d10b80644aea15de96b272334d8",
          "83a94f5f1db24213b7e3f188c6a8208f",
          "8528414ad1bf45e892cd3cd667532aec",
          "8578ffd11a3640fa8eeb5fb122b80b5b",
          "c4f4308884c64b0e9a3276ee529cd3bc",
          "cf4efd04423a4dedbff5a1205163b8b6",
          "d2ff2a6e917b4958849ab4c42e8ca258"
        ],
        "min_legal_probability": 0.003173828125
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 20
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "29b34d60e4904a9798ac6b8b7f98ae4a",
      "metric": 526.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_024_kissing_number_d11_operation_corr075/search/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/luna_024_kissing_number_d11_operation_corr075/search/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 526,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "16d150d2a0ad5456243aeb0c5ad844b2584db88b5facce7aab8fdc776c73136c"
      },
      "completed_nodes": 71
    },
    "baseline_run_id": "luna_007_kissing_number_d11_aq04",
    "delta_final_vs_same_model_baseline": 61.0,
    "delta_auc_vs_same_model_baseline": 202764.07745480537
  },
  {
    "run_id": "muse_025_circle_packing_rectangle_root_sd3",
    "task": "circle_packing_rectangle",
    "model_stage": "muse",
    "variant": "root_sd3",
    "state": "finished",
    "job": "951774",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/final_root_sd3_muse/campaign/configs/circle_packing_rectangle_root_sd3_muse.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 2.3653553179736497,
    "auc_score_seconds": 31168.634801296335,
    "completed_budget": true,
    "best_observed_score": 2.3653553179736497,
    "auc_start_seconds": 1119.7604134082794,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 84,
    "evaluated_candidates": 89,
    "invalid_or_censored_candidates": 5,
    "ordinary_decisions": 82,
    "selected_operator_counts": {
      "improve": 34,
      "evolution": 34,
      "fusion": 14
    },
    "first_operator_dispatch_seconds": {
      "evolution": 3228.0884618759155,
      "fusion": 7944.683902025223,
      "improve": 1670.080978155136
    },
    "selected_branches": 5,
    "branch_selection_counts": {
      "AQ04:a6138903198a4c10968e4ba8d038c18b": 3,
      "AQ04:7023776020724a6b8e858a06f6d645c4": 2,
      "AQ04:20045a8a3f5146588938f05ba57c362f": 36,
      "AQ04:0449ebe2e77f43a3b87d638c2aca966f": 37,
      "AQ04:489fb92100604a1cb4456ed14e17d060": 4
    },
    "branch_selection_hhi": 0.40065437239738255,
    "mean_p_posterior_best": 0.15993667230373476,
    "mean_p_legal_parent_best": 0.10134366663490854,
    "mean_p_global_parent_best": 0.056555026915015245,
    "mean_p_cross_mean_branch": 0.47598862066501524,
    "mean_p_near_optimal_parents": 0.12356865115282012,
    "mean_p_non_mean_best": 0.8400633276962652,
    "actual_legal_best_frequency": 0.13414634146341464,
    "actual_posterior_best_frequency": 0.12195121951219512,
    "actual_global_best_frequency": 0.07317073170731707,
    "actual_near_optimal_parent_frequency": 0.10975609756097561,
    "actual_cross_mean_branch_frequency": 0.5,
    "global_champion_available_frequency": 0.7804878048780488,
    "global_best_tied_decisions": 0,
    "legal_best_tied_decisions": 2,
    "posterior_best_tied_decisions": 6,
    "multi_candidate_decisions": 82,
    "llm_finished_calls": 308,
    "llm_successful_calls": 308,
    "llm_failed_calls": 23,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 0,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [
      {
        "exception_type": "TimeoutError",
        "method_id": "AQ04",
        "node_id": "f14f88ca18a14847ab240864fad04ef1",
        "status": "blocked/provider_unavailable"
      }
    ],
    "llm_reported_tokens": null,
    "llm_usage": {
      "input": 9327538,
      "output": 559482,
      "reasoning": 965798,
      "cache_read": 208326,
      "cache_write": 0,
      "cost": 1.238226452
    },
    "llm_model_effort": [
      [
        "opencode-go/muse-spark-1.3-contributor",
        "high"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_025_circle_packing_rectangle_root_sd3",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_025_circle_packing_rectangle_root_sd3/20261014_162114_muse_025_circle_packing_rectangle_root_sd3/logs",
    "timeout_candidates": 1,
    "censored_candidates": 1,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 4,
    "non_draft_completed": 83,
    "non_draft_valid": 79,
    "pending_candidates": 1,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1669.9926137924194,
    "non_draft_candidates_per_search_hour": 23.472099499622995,
    "all_decision_means": {
      "p_posterior_best": 0.15993667230373476,
      "p_legal_parent_best": 0.10134366663490854,
      "p_global_parent_best": 0.056555026915015245,
      "p_cross_mean_branch": 0.47598862066501524,
      "p_non_mean_best": 0.8400633276962652,
      "selected_posterior_best": 0.12195121951219512,
      "selected_legal_parent_best": 0.13414634146341464,
      "selected_global_parent_best": 0.07317073170731707,
      "selected_cross_mean_branch": 0.5,
      "minimum_legal_branch_probability": 0.02180369307355183
    },
    "branch_opportunities": {
      "AQ04:0449ebe2e77f43a3b87d638c2aca966f": {
        "legal_decisions": 79,
        "selected": 37,
        "expected_selections": 31.41571044921875,
        "max_candidate_count": 30,
        "max_valid_feedback": 36,
        "selected_parent_ids": [
          "08ed67c88dfd46db87520eb722227a8b",
          "17cabc4392704bef9690162792be2a23",
          "187043a6fef44a499cf452b1c24b64f4",
          "2380bd300d3e4fe3a6bbc8517981628b",
          "54efb4c4856f4418ac1586074161ce61",
          "61398023ce654131a9dd6457ed7830c3",
          "661d1f2efa144ba08691741b8d93792c",
          "67255ea10cea454a8a12f14586735cd9",
          "70eaf7742720494c8db3dc10a0e299db",
          "7c039eab6198426d9eb9848815119bbf",
          "8b587f81dcd948b4a215db1d5cbc9fa4",
          "a971e20a97f0401380ee3d11f145196d",
          "adbeb35f88b84dc8848f773ea804007a",
          "d648cdb79e1544088c3aa76ac3b64edc",
          "ee9a9d97eefe4113b6cdecdb5b200a23",
          "f0aeb33f49764c9b967ea9fb794feb13",
          "f94f5a8223b448cdb2c4e3dfb235e466"
        ],
        "min_legal_probability": 0.00390625
      },
      "AQ04:20045a8a3f5146588938f05ba57c362f": {
        "legal_decisions": 77,
        "selected": 36,
        "expected_selections": 37.22540283203125,
        "max_candidate_count": 27,
        "max_valid_feedback": 33,
        "selected_parent_ids": [
          "3aec15ffa8174adcbb5431e5f7db9acc",
          "41117b28746d4f17baa5cdaa26b6cf9d",
          "4789fa9ec7fb4326adb01566e841beb3",
          "4893d8500297459782383f8a38fa0210",
          "4ccccc4ef87b45f8ac4e49e80f5b90f9",
          "607d6b68bf304906a019f3300dbcdda4",
          "64477793494e4445a6c1f9b89d8362e7",
          "99e624120c0b4ec2aa849c98ce2fde3e",
          "a74877c877764d9f8de7b684684c1daa",
          "b0b4eac243204f9f9ec8446d1f029f1f",
          "cf25fbcbaa5b487483f26188c284057d",
          "d1c77ce57f9e468ba103679c32dda348",
          "f2e4022f3dfe4676a59f511ba7aaa602",
          "f3141e2d42f44c67bcec8bf94bced793"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:489fb92100604a1cb4456ed14e17d060": {
        "legal_decisions": 81,
        "selected": 4,
        "expected_selections": 8.93206787109375,
        "max_candidate_count": 5,
        "max_valid_feedback": 4,
        "selected_parent_ids": [
          "087386f49e354a69bfe4357a3a93b8c5",
          "116fed16f1d64e56bd4f997399752e32"
        ],
        "min_legal_probability": 0.0340576171875
      },
      "AQ04:7023776020724a6b8e858a06f6d645c4": {
        "legal_decisions": 80,
        "selected": 2,
        "expected_selections": 2.11199951171875,
        "max_candidate_count": 3,
        "max_valid_feedback": 2,
        "selected_parent_ids": [
          "c6204a4bf7d24c36bd8aece922f5c82e",
          "c75defaaf65841bd8db9a89d5c9acbc2"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:a6138903198a4c10968e4ba8d038c18b": {
        "legal_decisions": 80,
        "selected": 3,
        "expected_selections": 2.3148193359375,
        "max_candidate_count": 4,
        "max_valid_feedback": 3,
        "selected_parent_ids": [
          "5ef7cfdd94e141a3bad2a187878c5bee",
          "75978532737a4ce9b37037ca1799581a"
        ],
        "min_legal_probability": 0.00042724609375
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 18
    },
    "final_regrade": {
      "task_id": "circle_packing_rectangle",
      "best_node_id": "4789fa9ec7fb4326adb01566e841beb3",
      "metric": 2.3653553179736497,
      "maximize": true,
      "protocol_id": "c3658c55eee1c9501ab6f3e19c91e4685406b7930df172755307230fc02cc75d",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_025_circle_packing_rectangle_root_sd3/20261014_162114_muse_025_circle_packing_rectangle_root_sd3/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_025_circle_packing_rectangle_root_sd3/20261014_162114_muse_025_circle_packing_rectangle_root_sd3/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 2.3653553179736497,
        "maximize": true,
        "task_id": "circle_packing_rectangle",
        "construction_sha256": "b5788f644fb73e3ef1ca42691b9f068a5fb63e061963830175a060c0e2c1f42d"
      },
      "completed_nodes": 88
    },
    "baseline_run_id": null
  },
  {
    "run_id": "muse_026_kissing_number_d11_root_sd3",
    "task": "kissing_number_d11",
    "model_stage": "muse",
    "variant": "root_sd3",
    "state": "finished",
    "job": "951773",
    "native_workflow_state": "finished",
    "native_exit_code": 0,
    "post_budget_finalization": false,
    "base_version": "base_v1",
    "source_snapshot": "[workspace]/MLEvolve_BO_paper_aligned/snapshots/final_root_sd3_muse/campaign/configs/kissing_number_d11_root_sd3_muse.json",
    "interpretation": "single_seed_paired_parameter_trial",
    "final_score": 560.0,
    "auc_score_seconds": 7416875.953884125,
    "completed_budget": true,
    "best_observed_score": 560.0,
    "auc_start_seconds": 1077.0790948867798,
    "observed_active_seconds": 14400.0,
    "stop_reason": "time_limit",
    "valid_candidates": 250,
    "evaluated_candidates": 263,
    "invalid_or_censored_candidates": 13,
    "ordinary_decisions": 252,
    "selected_operator_counts": {
      "improve": 233,
      "evolution": 18,
      "fusion": 1
    },
    "first_operator_dispatch_seconds": {
      "evolution": 2993.678266763687,
      "fusion": 13524.47460603714,
      "improve": 1113.5277633666992
    },
    "selected_branches": 4,
    "branch_selection_counts": {
      "AQ04:6e4260ad1132452b821dc93c2e76a9e4": 245,
      "AQ04:34f0626a64f740e5993a0b25a2e7c4ed": 5,
      "AQ04:a3fef4fbc1714936b8cbfb7e69964574": 1,
      "AQ04:37b97f7cedc34fa1a115b05f6278bc8b": 1
    },
    "branch_selection_hhi": 0.9456412194507432,
    "mean_p_posterior_best": 0.3067266070653522,
    "mean_p_legal_parent_best": 0.7008160787915426,
    "mean_p_global_parent_best": 0.6905745248945933,
    "mean_p_cross_mean_branch": 0.027254134889632936,
    "mean_p_near_optimal_parents": 0.8617151653955853,
    "mean_p_non_mean_best": 0.6932733929346478,
    "actual_legal_best_frequency": 0.7142857142857143,
    "actual_posterior_best_frequency": 0.32936507936507936,
    "actual_global_best_frequency": 0.6984126984126984,
    "actual_near_optimal_parent_frequency": 0.873015873015873,
    "actual_cross_mean_branch_frequency": 0.015873015873015872,
    "global_champion_available_frequency": 0.9801587301587301,
    "global_best_tied_decisions": 244,
    "legal_best_tied_decisions": 238,
    "posterior_best_tied_decisions": 181,
    "multi_candidate_decisions": 252,
    "llm_finished_calls": 1012,
    "llm_successful_calls": 1012,
    "llm_failed_calls": 22,
    "recovery_count": 0,
    "recoveries": [],
    "llm_interrupted_calls": 0,
    "infrastructure_recovery_count": 0,
    "infrastructure_recoveries": [],
    "numerical_optimizer_recovery_count": 0,
    "selector_failure_events": [],
    "llm_reported_tokens": null,
    "llm_usage": {
      "input": 22904158,
      "output": 1289960,
      "reasoning": 2861970,
      "cache_read": 420738,
      "cache_write": 0,
      "cost": 3.121643276
    },
    "llm_model_effort": [
      [
        "opencode-go/muse-spark-1.3-contributor",
        "high"
      ]
    ],
    "output": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_026_kissing_number_d11_root_sd3",
    "logs": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_026_kissing_number_d11_root_sd3/20261014_162316_muse_026_kissing_number_d11_root_sd3/logs",
    "timeout_candidates": 1,
    "censored_candidates": 3,
    "interrupted_candidates": 0,
    "uncommitted_interrupted_candidates": 0,
    "invalid_candidates": 10,
    "non_draft_completed": 255,
    "non_draft_valid": 246,
    "pending_candidates": 0,
    "active_pending_candidates": 0,
    "terminal_failure_receipt": null,
    "charged_initialization_seconds": 1113.4452693462372,
    "non_draft_candidates_per_search_hour": 69.09240345671085,
    "all_decision_means": {
      "p_posterior_best": 0.3067266070653522,
      "p_legal_parent_best": 0.7008160787915426,
      "p_global_parent_best": 0.6905745248945933,
      "p_cross_mean_branch": 0.027254134889632936,
      "p_non_mean_best": 0.6932733929346478,
      "selected_posterior_best": 0.32936507936507936,
      "selected_legal_parent_best": 0.7142857142857143,
      "selected_global_parent_best": 0.6984126984126984,
      "selected_cross_mean_branch": 0.015873015873015872,
      "minimum_legal_branch_probability": 0.005038306826636905
    },
    "branch_opportunities": {
      "AQ04:34f0626a64f740e5993a0b25a2e7c4ed": {
        "legal_decisions": 249,
        "selected": 5,
        "expected_selections": 3.994384765625,
        "max_candidate_count": 6,
        "max_valid_feedback": 5,
        "selected_parent_ids": [
          "112c252779b54da3a597fa1d30d7d09b",
          "488a6326eed64e5aa2029553a1f6f00d",
          "82c3c6b2fdb54f61bb929b2892ff0433",
          "837fa842226b42579d31d614beb514fb"
        ],
        "min_legal_probability": 0.0
      },
      "AQ04:37b97f7cedc34fa1a115b05f6278bc8b": {
        "legal_decisions": 250,
        "selected": 1,
        "expected_selections": 3.25360107421875,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "c141e97703cc45c4a6100459d0da351d"
        ],
        "min_legal_probability": 0.0010986328125
      },
      "AQ04:596953e8c2b9439ba6c7d76ff72eba35": {
        "legal_decisions": 0,
        "selected": 0,
        "expected_selections": 0.0,
        "max_candidate_count": 0,
        "max_valid_feedback": 0,
        "selected_parent_ids": [],
        "min_legal_probability": null
      },
      "AQ04:6e4260ad1132452b821dc93c2e76a9e4": {
        "legal_decisions": 249,
        "selected": 245,
        "expected_selections": 243.5562744140625,
        "max_candidate_count": 196,
        "max_valid_feedback": 238,
        "selected_parent_ids": [
          "03ecfc9cc3154a75aa149d54bbecf883",
          "059c627b0e4943089712f5c676a98304",
          "060a9671715d46619bcac3f3c646e89f",
          "081b687aedcb489e88fd56cfd1b08faf",
          "0ad6f99a05f549a69601fb1270558fd2",
          "0fe7bc0ab49a4ee789251e9651b596b2",
          "1078ae99b6ad4e32ba791e001d303941",
          "1323518147f04c49a2128d2eab110033",
          "1400982fd9fa4e66bcb7411d4036a91c",
          "156a12aec5fc49d99e853e83d200f102",
          "192a6b5fc6484ccc99e5415348130977",
          "1bee600f3b3943f2aa4be2b33fb4ece4",
          "2079360d6bab47ee8db00e44bf956995",
          "2490e77f9a3d4432994edb3880fa5ea6",
          "26504780f20e485ba80f924ad02be9a4",
          "26ab2a028a764785a697bb1cad01a4a3",
          "2e00abd82a81419997b80b50a3557ef6",
          "32355cd817614a0f926b65d62c2c97a9",
          "3614b9a85c0140478d043a63b63e4117",
          "363b703620be4036a55aeb5b5f765d5c",
          "38a71fbd21b2477faf0ff227a7e0c989",
          "3b34aaf2aaaa41a0a04e544938610a7f",
          "3e266148a5fe49b9be92b288a04d072e",
          "3e9d071d90ba4a83bec40f98e808a14c",
          "3eff9f75204e4dc395e34a582350a7fd",
          "48d720aabd7a482097d9b1bf8dc94c1f",
          "4a560468e55b44ce8463409586e28b66",
          "4affca9fd1314b64b936d0d05404baad",
          "4dec5da8762840ecbbf2f0f0d092e4ee",
          "4e373d8441b94bbc95f55d69c7b5bbe2",
          "4eaaae53f4014fa8aa41ff08d78dc439",
          "4eadde7a761148ab86b1fd8136298d51",
          "4f963d60aa2f4963aa317d6542bc2e4c",
          "51787fe428d24570974e4e07c2ae5f95",
          "5191046cbfb649e691f689b3c02e4fa1",
          "5391e7c579fa43d89e0f32a1610529c5",
          "55ab1d8d5516495d9e8ec22583258624",
          "566e050749c74a6884934b9a3855a54a",
          "589aa7eddb274ec78eab80e5582c77fc",
          "5a3293d5b06a47e790382b5edf3341cf",
          "5ead794fcf11477eb4203e59662f38bb",
          "5f3b756838014eada958e13c34c9bf3a",
          "61c673ebfc074c459715e19d6ff4ba0b",
          "625d7e6dc93f4e80ba86125546bf6a5f",
          "6394635bdeeb48d3a22d1e8f93c54c3c",
          "67b5a12586fd4630942de02c72c21d1b",
          "68de972da49043308ffdb4bc1588d3cf",
          "6c87d4e0c1214475920076e653ce7d09",
          "6e7c989a03ae4c18a00b39666a6a58bb",
          "75e962e40f714c69bcad95f41fa56715",
          "77346662e0ca4d85b36e3e17520842f0",
          "78b3bd8bb2e142eb875956b398da5bcc",
          "7b35b57cbae34a388ce669acc9ec4a27",
          "7dedaef396be42ea95048789037e807a",
          "7e9c86f518c1434bbd63d72239cb1956",
          "82e539a95b5042d99a3a16119555e328",
          "83ad4f679c7546508f6a3888eb49d54b",
          "8752f893066144ddb8ba4bd0367f8591",
          "891bd565470e468b9e5ea8ea9653bd1d",
          "8b49498c2ce34618826cf9e6dff9c708",
          "8dfe4a5c07434c41b8f190039a3f294c",
          "8e668b5849554b19b3ce9cdaef8a4f06",
          "90c035cdc96b4cd9b73e249dee17e52f",
          "939bddb996284a1da58f40b77ca61932",
          "9912bfbf1d5e45b7b3bfa5754b277f87",
          "9a7369d1bfcc48bebfebf46e4ecaf8d3",
          "9a9d1f118b11492fab412afbb76d3bbd",
          "9f983b26cd0f49ddac6b616a2e158a0a",
          "a14491a8477a46b084df89747e7c0c23",
          "a276bed171b84f67be44b629a38f04a3",
          "a2e241959d244743899aeaab8b89f7df",
          "a43a7d09dd1b47af8d83d9d6183af5ad",
          "a7a62a7351784ad3b8214509b1012ea0",
          "aad413ea970a4a2dbe1f8151e65774f3",
          "af018ce390c24712aa8c31b536dc5047",
          "af45a7f0ab494343ad076274cebd37e4",
          "b244ee05582d40f0a4f4b1cd3d8c306e",
          "b4f6d75f920941dba457d14aeb2f3364",
          "b5facd882c6a4cc5b84ab0b4d5d692bf",
          "b603efb58aea4fc19e7b2557c5ef83d6",
          "b71c134798f841ada8dac3163a6b2830",
          "b9944af693094c3ea9eac9de051adab9",
          "ba8a35b8ee70477e93027c8249d6464b",
          "bab8887e3f224bc98be3a7bc7cd46662",
          "c26f97b1ff674d278607a5068d890c16",
          "c52e64462ae245d0adad8420da4e1edf",
          "c5d383758fba45c8959383845b9278bf",
          "c7a362a36f8d471da6e311b35321e7ad",
          "c88a3f2894b446cfa589489fa216b347",
          "c8cef3e1bc424b27a7de044c7d9a6e9e",
          "ca224453ff5d4e36aa8821bc4216c639",
          "cc5f81eca29b4effae3e83e40c5fd482",
          "ce59d5664c6f4c10825b483b2199464e",
          "d07af1b75eb74add8953ae0f96d16dab",
          "d1db7ab228aa442e8074154548448972",
          "d33c4357c86545d785737a91626834b4",
          "d5b9de28ed4d4ccbb80e71df01f2be54",
          "d646242bf59749dd9e933ea246d4d28a",
          "d65c73ffeb51401ea67e7a4163dfbf94",
          "d87240ec80ec412583ac1cd698fb7384",
          "d8efb4909c5742f8b4282e8781b4793d",
          "dae543bb4f9d4662abddc37f0eea10ef",
          "db37025639a54810a755a81b2cc8d518",
          "dcba4d5296a94b0c858433fa636cd90b",
          "df1fa1696c5943eba63e1dc3768ebb11",
          "e0e2f58b5e9d428db4d3e77b10505029",
          "e0ff08f681504d62a94ac91d47139f2c",
          "e2317dfc040046df884c5ec483e1417d",
          "e35949820d064d72be65f41f86f15f75",
          "e39aa9e86f6a4243ab4397966b179b47",
          "e3e48476083b450eb4bef0394fcf8c85",
          "e7833a05c8da4557882c5ad60f15a383",
          "e861c63153b7479390d79ed0c6e7ef39",
          "e972e09760d346da82577bd3950f24d1",
          "e9afbe800b54409aa4b9afe6f8d81d7f",
          "eac01c8128474d168b3bbf89c9a50467",
          "ee3a1dd27cc544c6accb0a1401e21a78",
          "ee91aae7297d48a6a3d3aa8400979a5b",
          "ef05c44db0154856b1deca536729c786",
          "f0b0011cd6674070959a54a9cc554fdb",
          "f21e4f9c8fe045869963f4ab6e6e46c5",
          "f2a9eb5a5fa6420b95888e9385e8045a",
          "f460fe46de554e25bdbc33b02031b82c",
          "f573472421144c7199744fad76b4ed02",
          "f8730376ead54dcda9b4f74691f25a60",
          "f9eb8481b0e74f409e6130e3c24979ef",
          "fc1cd93b770f45d78ebc1cfdbc143003",
          "fc8f2ce0fb57486a820871bb611b67fe",
          "fd5c011b7ed54305b7edf881df9bb2f4",
          "feee2011b4514faebf0b66464ef1e465",
          "ff1b84884bb64078aa7b1dcee3862bf3",
          "ff694108d3ef4c3d853d66c0e27b0cd9"
        ],
        "min_legal_probability": 0.37713623046875
      },
      "AQ04:a3fef4fbc1714936b8cbfb7e69964574": {
        "legal_decisions": 251,
        "selected": 1,
        "expected_selections": 1.19573974609375,
        "max_candidate_count": 2,
        "max_valid_feedback": 1,
        "selected_parent_ids": [
          "e41fdf1a001741b793d323076d07b6be"
        ],
        "min_legal_probability": 0.0
      }
    },
    "unavailable_global_champion_reasons": {
      "pending_parent_preference": 310,
      "native_child_limit_or_topk_gate": 3327
    },
    "final_regrade": {
      "task_id": "kissing_number_d11",
      "best_node_id": "f8730376ead54dcda9b4f74691f25a60",
      "metric": 560.0,
      "maximize": true,
      "protocol_id": "96736895b0bacf4af0365260ea50e81fcc49b162bd497936e6e77f3413d9c79c",
      "construction": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_026_kissing_number_d11_root_sd3/20261014_162316_muse_026_kissing_number_d11_root_sd3/workspace/best_solution/construction.json",
      "code": "[scratch]/bo_paper_aligned_iteration_20261014/runs/muse_026_kissing_number_d11_root_sd3/20261014_162316_muse_026_kissing_number_d11_root_sd3/workspace/best_solution/solution.py",
      "final_grade": {
        "valid": true,
        "metric": 560,
        "maximize": true,
        "task_id": "kissing_number_d11",
        "construction_sha256": "b466088f36543186f0a3738b675df1ab8b0589101465a60cae966a048aa22b93"
      },
      "completed_nodes": 261
    },
    "baseline_run_id": null
  }
]
