| {"accepted":{"artifact_digest":"sha256:d65adb305e1faaba9ce83e0a2e239ec2a30245b5ac67d89545c6f2ad5aabd1c9","candidate_id":"sha256:0542c1a200d9d12fede50ece0a5c149ff9ddfc5552c135f8dd23f4f71ab7c2e8","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n offsets = (-2, -7, 2, -5, 3)\n return x + offsets[x % 5]\n","verification_digest":"sha256:b7ec11a2a7771153380cbdc1f5e3ffe139306d0c68b461ed8fc54d485ee2e270"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:89caf4004088b64fef2320af812139d107476cf3f53dfad95e5252b4b83f971a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 4}, {\"input\": 3, \"output\": -2}, {\"input\": -1, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n offsets = (2, -7, 2, -5, 3)\n return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:8224345b7a973ce751d365160661b76fb392586336a99e6604d9e1f05ab23fe2","sample_id":"sha256:c6378083122818d83cc11d7ee2513a232d2617bb8071af3b75bf1b78d4f17269","source_transition_id":"sha256:cbcbe6079917032a1d6d2c9b0829890d2e093577961ad19088e9dce726bd0124","split":"validation","step_index":1,"target":"def transform(x):\n offsets = (-2, -7, 2, -5, 3)\n return x + offsets[x % 5]\n","task_id":"vlr-formal-v2-0000001","trajectory_id":"vlr-formal-v2-0000001-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:addae2203c842f429cdd8ecdbf29d6faa10aab9ef6a9217d1e2e6a7e7d60c962","candidate_id":"sha256:610ffbc522463c7e79b751a5ef509ae3a3cc8a77b9aa29b238ccc008740d2be8","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n masks = (9, 4, 11, 3)\n return x ^ masks[x & 3]\n","verification_digest":"sha256:625436d36d6f2477e69988f793ce53fbe3298c75994f0a5ab8edf0cd55228ca7"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b12daf5e142a80124f801be05ceafe59221c963571f02d23ca71b97488773c90","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n masks = (9, 4, 11, 1)\n return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6ad4e7b53c5526cbd3c5146b6c862290197682d68695388de5214b8b53e977bd","sample_id":"sha256:0f1c64b8345719143dc9dea58b334aa4ee764b4d58ff03a21005e0b0b7f8eddc","source_transition_id":"sha256:3c6fecd22f464423b3a152b72603b8515d3872febb6ae4c4c59caf7c93dc7eec","split":"validation","step_index":2,"target":"def transform(x):\n masks = (9, 4, 11, 3)\n return x ^ masks[x & 3]\n","task_id":"vlr-formal-v2-0000004","trajectory_id":"vlr-formal-v2-0000004-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:78abb33c8b6b6c4dd63ff28700cdd50651d07ede7c794dedbcc3d9467f172a3b","candidate_id":"sha256:56f8bba371141a75ace9c0cbe6a3f2aa8c42781b8e2aa1b59bfb10dd110f76a7","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (-6, -1, -7, 3, 3, 4)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:aeadb9c6aff1f3751d3acec28ad602ed4e6dfec9684c339eb4a93c741cd1ed2a"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:34eb5275f29e2e52ad4724f3a0bed5bc2c55a360e8150f14320fd98a457c08ae","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -6}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 6}, {\"input\": 4, \"output\": 7}, {\"input\": 5, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (-7, -1, -7, 3, 3, 4)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9e63a0ee0ec651ccfe67afb3932da246312372324b14b9d0a103459dec6454cd","sample_id":"sha256:e4a33ecc8078b6be77b626a1707cf32fca4b2ea1c0ae89c4bf7e61f3f5a8972f","source_transition_id":"sha256:d67e0ade75b719d3b68693f3f701a41d5fffd1533e5891bceaf94a7374e64bb3","split":"validation","step_index":2,"target":"def transform(x):\n delta = (-6, -1, -7, 3, 3, 4)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000006","trajectory_id":"vlr-formal-v2-0000006-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:e9a80ac4506cd0a68dd0f6996324608f9f9767279cea327a4be14ccebba1b274","candidate_id":"sha256:8223a111d8a9e3fc36e72bd1edeb64b688e8df7e2abde8dc06d69aa0e28ad49b","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n masks = (4, 6, 12, 14)\n return x ^ masks[x & 3]\n","verification_digest":"sha256:263d2ca13e73d2f8af0bed2ecf53d68e91ff1357fd6565c96a23249f4e0ec2fe"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bfc05686003d8b838506037857e3f67e8329025751c81680a41557986e8e3c8e","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 7}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 13}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n masks = (11, 6, 12, 14)\n return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_000\", \"xor_mask.protected.case_001\", \"xor_mask.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:82a86b963b24870c82fa13913702ecfd77807ca9cf94cfe4510cc7282ce4ab67","sample_id":"sha256:cd88ef8a0c0f22ccc6aa1fbcfaa934514b66738dc85869f086326deb32dc5903","source_transition_id":"sha256:f2c9af5fe37c9d815a37f8fc6cdf38fb66fd18d9c28bf946ad1e599902eaae9f","split":"validation","step_index":1,"target":"def transform(x):\n masks = (4, 6, 12, 14)\n return x ^ masks[x & 3]\n","task_id":"vlr-formal-v2-0000014","trajectory_id":"vlr-formal-v2-0000014-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:38fc1bf4bc2a9653646bf5f9e2f9aed6e5762c5a90290c8fb169a6aa613f653c","candidate_id":"sha256:a1a30b04fd6b1b789bdf1a5bad45a4e867c26fa22824367c363635f7359b3e73","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n masks = (11, 3, 7, 10)\n return x ^ masks[x & 3]\n","verification_digest":"sha256:846b493f010cc551847b84cb2a9b92b8c4ec9743240ed908f29894557a0ec2ec"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:5ff930aceb17a67f03d982893a24da2f9dda62196e271ae70d038c3bc5d57afd","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 11}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n masks = (11, 3, 10, 10)\n return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:aa58b81d82fad3249457b071967b653732c668e8176bb959f3faed71ad9f597c","sample_id":"sha256:0df6ed0b8526c55a7eb8fe718e3ca12119773eaa093ce4ade87a404a5d6883ae","source_transition_id":"sha256:5337ad6b6079dd05e698be826c5007298050bbda473a4cfa6b2fe5c5f3929ae1","split":"validation","step_index":2,"target":"def transform(x):\n masks = (11, 3, 7, 10)\n return x ^ masks[x & 3]\n","task_id":"vlr-formal-v2-0000024","trajectory_id":"vlr-formal-v2-0000024-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:612b25d3e0fd73ccc1189d3922060c82ad833fbe03941c5804009188539dd81a","candidate_id":"sha256:6b47517328af892c4a83b1d0648fa79015df612405446da3bc3581eaaa5a61a9","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n bias = (4, -1, -1, -1, -3)\n return x * x + bias[x % 5]\n","verification_digest":"sha256:cc92028a1a73c50586c132b3174405837b54949c2c827511fa9a1c89f070eb16"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:62286c013f8c6ef8ad659d2423efa5048f4e2806272003c9002596b8b056e5ff","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 4}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 8}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n bias = (4, -1, -1, -1, 3)\n return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:136f948240d85e88134db49cd617af126fd05453be7fe03d8072d1f9d1df8419","sample_id":"sha256:458afbd8c0d9ad28d94dac94fac762ada8dd0934e52e83ef605c19bbf82c3852","source_transition_id":"sha256:a4df4f33c1ca80173639912bcb63ba0db9222f1a371f0c76eb428db363e652ce","split":"validation","step_index":1,"target":"def transform(x):\n bias = (4, -1, -1, -1, -3)\n return x * x + bias[x % 5]\n","task_id":"vlr-formal-v2-0000032","trajectory_id":"vlr-formal-v2-0000032-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:aadc200f84056e34291e0c725902dce4030b74b788afbfbb2b77da5bd6444575","candidate_id":"sha256:82af04b2d7c833658f7e1bbf340470aeb875ddc57492d83b6124c0f00d49e6ed","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (-1, 4, 0, -4, 1, 5)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5cc31d83a7baeac863465a105dd27b7739c47cf9be0bcb41ffa433b0db4823ab"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:e6fd3bed8a5cba8ebe81f73cb2dfb2593c8fe723b81a3abe13d471d58bc2faf5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -1}, {\"input\": 1, \"output\": 5}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -1}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (-1, 4, 0, -4, -2, 5)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:88d65468ec7dcd2dfe8d4be12a0999c9f90e2b5d224dac3ff1baf6d61199fe03","sample_id":"sha256:d1a0364727759ff44299addd57fbe93e6929f98e432f0ce2b58f0bbe04291bc3","source_transition_id":"sha256:26051b71948c2965f5f33ddb3107046af82d64ec0f87afc31407aa44c066120b","split":"validation","step_index":2,"target":"def transform(x):\n delta = (-1, 4, 0, -4, 1, 5)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000036","trajectory_id":"vlr-formal-v2-0000036-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:8a10e9c7e4b26a41ca05bb52eae73c1f67f0faac906ab85019da3907c1a25918","candidate_id":"sha256:74553d4c841b5931592b5fad736330ef5c5d6d38c62ac0cee50095ecd0fec372","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n delta = (5, 3, 6, 4)\n return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:4e993c3ad70eaa80d1fdf258f0d40874a8c0b986076ac17075bf7c612fd2da41"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:733d96f9289ae415574c8f1118dff6ded707d1c8beab543575c8537af0e5040a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n delta = (5, 3, 1, 4)\n return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dadff6ebb891321e4430b0228a0972e1a103099a6d1a7c13a539ff940cbebdae","sample_id":"sha256:a7ff0de9b8a4cf4a91a80f63488e67b5b0b86ae057580411cb8d78ff915cab71","source_transition_id":"sha256:1a38b4c8ffdae9aac834415825d1d48a917de809bc82366e260fcd40f3d4ed9b","split":"validation","step_index":2,"target":"def transform(state):\n delta = (5, 3, 6, 4)\n return (state + delta[state & 3]) % 17\n","task_id":"vlr-formal-v2-0000065","trajectory_id":"vlr-formal-v2-0000065-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:5d7e7b28df03bf411f12788992e38602b0c9344fc87dcfb15c25707dc7919592","candidate_id":"sha256:762c8cbd4eb1613354d721af45524904a38687eb963f08e15fee1444fa45812b","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (6, -8, 6, 5, -6, -4)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:86dfdc2ff4c3b17ccc1ad560a2b1db1780ea422f5572b81e538a59aff2ef5368"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:9ba68801e4fecf2644e1c632e9bd87fd1147a634d84633bab1ff18f2753c0786","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": -7}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 8}, {\"input\": 4, \"output\": -2}, {\"input\": 5, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (6, -8, 4, 5, -6, -4)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_006\", \"lookup_delta.protected.case_007\", \"lookup_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:85422d60423825bbb8cb5504d4c3db87a24d9d55b90ab427e31751ff974c1d67","sample_id":"sha256:49a0d01e8d457a21218595d0889e9424e4725b15907368d34e8b5354caeb0834","source_transition_id":"sha256:0741f0216edd457b99fec2f5cd492030c8a731bc1c9886a53e0d305aea6300d6","split":"validation","step_index":3,"target":"def transform(x):\n delta = (6, -8, 6, 5, -6, -4)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000066","trajectory_id":"vlr-formal-v2-0000066-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:d902285b24bd3f90589a258a3cc17e926589ec75eadfd23633de8f80d1f213cb","candidate_id":"sha256:ca81d17ba19d3159d878acd7e8502ff66112c8838155d3014039c973461d3e89","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n offsets = (3, -3, 7, -3, -5)\n return x + offsets[x % 5]\n","verification_digest":"sha256:6d00cc01d83b0de9d90e9ad3706d24dd1c3cba8fa7ecd4010f29bc2e0dbef8be"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:82c176643b6cf1638c0a446c2f864c288b11cdd02541a82fd2d7736d3d6b8a79","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 0}, {\"input\": -1, \"output\": -6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n offsets = (3, -3, 7, -6, -5)\n return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:9b3c34b6ccf410c2df773bd109434699e45fb2a23d21455916ba3a9e403dcf73","sample_id":"sha256:8bf8050b0ef109d080da5ff0996384280e39d54a58c3a3e762cfc31b3a703d5f","source_transition_id":"sha256:8e019666e0e75771379808fb088c79e129af035eeffbaa18b6b2b410e9067a0e","split":"validation","step_index":2,"target":"def transform(x):\n offsets = (3, -3, 7, -3, -5)\n return x + offsets[x % 5]\n","task_id":"vlr-formal-v2-0000071","trajectory_id":"vlr-formal-v2-0000071-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:e88e1cc565c05b46346d940f129b62fc56efed00ed1950a83e88b71623253d31","candidate_id":"sha256:db0845eef8061c724011910314c0eea6c65c19b56a4162caaaa255253f33c5e8","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n factor = (7, 8, 7, 4, 7)\n return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:d8f034d89a116558fc53e9bc5f9cae3b2e37d96a2e88858b3825c21a7bf039e8"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:6ce0dd5d8fa71d893c45d03ad218823aca1ee0087530d38ec6e6e32103ca631a","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": 22}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n factor = (7, 8, 4, 4, 7)\n return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_006\", \"mod_product.protected.case_007\", \"mod_product.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1bad2549e6f85d38f17d7dbd9b75bb579c83795f8dbb19e0c566fadf6f89027a","sample_id":"sha256:555bea09b3aa2d6b927e0350265b7a98d6c260ed5c2c40927f84ed1bdacfa4be","source_transition_id":"sha256:715169129e239cee1f9a16a21cd5bf01bd07d008186a8bf11239ae161abb42bf","split":"validation","step_index":4,"target":"def transform(x):\n factor = (7, 8, 7, 4, 7)\n return (x * factor[x % 5]) % 29\n","task_id":"vlr-formal-v2-0000073","trajectory_id":"vlr-formal-v2-0000073-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:f6ca7ce83075cf355f6e5d16df88e4af46dd1fb3c3fe0687921c95c63c79a1bb","candidate_id":"sha256:6e651bebdbead960f33659efdaa8d63dc93ee8cffd846957bb1b0254fb740d2e","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n bias = (-2, -4, 2, 5, -5)\n return x * x + bias[x % 5]\n","verification_digest":"sha256:c46dd2c9786656ab51743e927501e582bbd1d7f90f1fa560175b89bbb19cae0c"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:718aa1b6a16691f83acaee81dc1d140d61ffc80dc2daf05a27417e021ae536e2","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -2}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": 6}, {\"input\": 3, \"output\": 14}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n bias = (-2, -4, 2, 5, -1)\n return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:e0e86eea0a17f0a8b338bbda5c23e83003c9c843d2d99ef6a94037895828ea57","sample_id":"sha256:e2709547a43b85c6704cbab758344bdedfded0bddf1a1b09814a1fe26b7fc10d","source_transition_id":"sha256:a4e9f63c9d5363e8bdc1a0064e06c8eaa8213ca53d28f80bb75c41524724d742","split":"validation","step_index":2,"target":"def transform(x):\n bias = (-2, -4, 2, 5, -5)\n return x * x + bias[x % 5]\n","task_id":"vlr-formal-v2-0000082","trajectory_id":"vlr-formal-v2-0000082-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:76df26675ba37f30b3f1d5bbc310c7232cf2d07cd11434c384c3a534d3c89f6c","candidate_id":"sha256:3f9d78b526add12cf32bcc9af7bb86a9f71d4b24731009beaf1e8a25fc1a796d","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n offsets = (-7, -2, -1, 6)\n bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n return x + offsets[bucket]\n","verification_digest":"sha256:50ad7622fa98006fb685de870c347ca12f1fad607e606a2cc9f62858e3fe7d56"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:b3107b44615f41f8d89772bc382c6813700eef4b61d9ce39aacfcc9296c64309","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -34}, {\"input\": -3, \"output\": -5}, {\"input\": 3, \"output\": 2}, {\"input\": 27, \"output\": 33}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n offsets = (-7, -2, -1, -5)\n bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n return x + offsets[bucket]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_009\", \"piecewise_bias.protected.case_010\", \"piecewise_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:b58c6107814d20782221e099c54912ab0a07db378c42ab6a9dadee3a170c39e7","sample_id":"sha256:4fc69ad77439ffad1d6115c62183340d528fc07caad34f41e48eb94aa9722b3d","source_transition_id":"sha256:50a3ebe2667b62f78461e6742339e83f299d0fb65e39caca581c41c7631e409a","split":"validation","step_index":3,"target":"def transform(x):\n offsets = (-7, -2, -1, 6)\n bucket = 0 if x < -6 else 1 if x < 0 else 2 if x < 6 else 3\n return x + offsets[bucket]\n","task_id":"vlr-formal-v2-0000100","trajectory_id":"vlr-formal-v2-0000100-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:21d7051875f95f90a8bd89ee57407d2379fc2b91f03cab3386a8ec677b767f07","candidate_id":"sha256:88826f8972cee6fe588b5ae2d6a373495347427994fb855fb81e06447239928f","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n table = (-3, 1, 4, 2, -5)\n return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:1e90b79823668a22e88909de49c0cb9877e9069d197b98d3abf1690be973b475"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:84fbfd9e6f63383a2102e6c2f3e2c2da4c0ad408e8a5e60cfe7ff565e1e1e818","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -3}, {\"input\": 2, \"output\": 3}, {\"input\": 4, \"output\": 8}, {\"input\": 6, \"output\": 8}, {\"input\": 8, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-3, 1, 4, 2, -6)\n return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f369de109b15226d4dd6809fad3f8ee1088c2ff0d5209deb072dcc40d15410e8","sample_id":"sha256:3285b513210c16637883fddcaf05455728e58552589d6347163b9c9c9612deed","source_transition_id":"sha256:532473bf534ac2a57df9f5754b8db4f902e19063794d4c9e58630f998e366b18","split":"validation","step_index":1,"target":"def transform(x):\n table = (-3, 1, 4, 2, -5)\n return x + table[(abs(x) // 2) % 5]\n","task_id":"vlr-formal-v2-0000117","trajectory_id":"vlr-formal-v2-0000117-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:807d274affdd63d5b9bd1eff753935733e2d152ac904195d468bdee90b916426","candidate_id":"sha256:699ffa29e022561d86287592418b5a9aa2219ba757b9881e872ba1d795431faf","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n factor = (4, 4, 9, 3, 2)\n return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:5df265835cea4ca834452501d0f2e18203125cf1e3aa649d4245a9fd5d490e46"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:aa51c39eca9eac624c78f8b637505809235b4e60917e8502f3cf5b07efbab68b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 4}, {\"input\": 2, \"output\": 18}, {\"input\": 3, \"output\": 9}, {\"input\": -1, \"output\": 27}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n factor = (4, 4, 9, 3, 3)\n return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_012\", \"mod_product.protected.case_013\", \"mod_product.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1c547a03ba5fd6e6c7730e4a664e7aa34db950083393275148a64a5296f095a4","sample_id":"sha256:97186c3e85988cdb25ad37273215957bba757ba796def1d8321688f966da8cbb","source_transition_id":"sha256:5aae2d27ce4c6dfa2ad168f03b38ef6b237d7733c628469b3ec4a021e8f57094","split":"validation","step_index":1,"target":"def transform(x):\n factor = (4, 4, 9, 3, 2)\n return (x * factor[x % 5]) % 29\n","task_id":"vlr-formal-v2-0000123","trajectory_id":"vlr-formal-v2-0000123-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:fed93afe11251d52a53752b24d5aca129aadd4c03c8e89102274fddb9eda318f","candidate_id":"sha256:dc573e132578de9624d57af6079f022cfeb0d4cad3df7cf559d70a6a10fef63c","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (-7, -7, 1, -5, 2, -5)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:c7c497c91dd5423497b3516b9d269140798450a2bd4e8fa9c92a9bd1bc1e8ba4"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:0b0eb738a140a9ea4e5e0b2807b9530e87eec0696f7fd40c268324f2cb796b06","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 6}, {\"input\": 5, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (-7, -7, 1, -5, -7, -5)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:a6e6d546f9c5fc995eda7e991fee357ee7f294b4cd201302546c1794e3693c58","sample_id":"sha256:070615966073e9ced88891e0400ff7451204baa3eddcd89fe5a6559a88172ae3","source_transition_id":"sha256:207bef985b529da0914b9e94b6250dfa143e7c7f536784a1eb9d7137c2e59f8b","split":"validation","step_index":1,"target":"def transform(x):\n delta = (-7, -7, 1, -5, 2, -5)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000126","trajectory_id":"vlr-formal-v2-0000126-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:7084b52a218ce129d6dfe9764021350e0c14fb10444643871088301adb887b29","candidate_id":"sha256:4feb659f6a6e45aba6aad42be5c52107dccd94d12272199e2c18099f461ef232","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n masks = (9, 12, 10, 1)\n return x ^ masks[x & 3]\n","verification_digest":"sha256:af8fe7457feaacaa9fcb9ea961ffdaf130ba97ad3d8c997a0c58e25d71ba26d6"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:832888a4f2512fba558fc7313f7089d07d234f715641f8c0e6e37fa472258e7d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 9}, {\"input\": 1, \"output\": 13}, {\"input\": 2, \"output\": 8}, {\"input\": 3, \"output\": 2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n masks = (9, 12, 10, 12)\n return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_009\", \"xor_mask.protected.case_010\", \"xor_mask.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7c8c4a84ab6b9ef89f3092752ea916cac07a2a342cd9763e653e4ddcb4913ac3","sample_id":"sha256:a67abadfa91df7a4dd84f96643d888fd3ee78b5974556a442bdf926377a19d61","source_transition_id":"sha256:136aaf937326420e8bc8600de42fe8238d6592284b781136be8560829fd41cfe","split":"validation","step_index":3,"target":"def transform(x):\n masks = (9, 12, 10, 1)\n return x ^ masks[x & 3]\n","task_id":"vlr-formal-v2-0000144","trajectory_id":"vlr-formal-v2-0000144-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:d3311c5934ddd37b604432633e432a3ab4d8665b56a53e18986aded5426869ac","candidate_id":"sha256:13d5cf0fc48e9b3239085e751fe152763bc1c49bf44a160087e98c4802284307","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n table = (-4, 0, 0, -4, -2)\n return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:9857339f820b7424f62d7d68378b425d46de94cf61aa79568d3ccf6f9110010c"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:1a70e70af080441922423fd67400dcb1f59f931cdca14f08685bf24cc76e8be6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -4}, {\"input\": 2, \"output\": 2}, {\"input\": 4, \"output\": 4}, {\"input\": 6, \"output\": 2}, {\"input\": 8, \"output\": 6}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (-4, 0, 0, -4, 0)\n return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_012\", \"signed_bucket.protected.case_013\", \"signed_bucket.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:dd531e20cf6d6511fef8655956da071d7de6a055b41274294fb8f64cc1758e8b","sample_id":"sha256:3357a4a76fd4e90cc37f3103bf86d1afe80a8047f97dcc0276075ce9262ecc49","source_transition_id":"sha256:a413846e00472b490f1c00812e5da47ad4ca732d617159e69ad291fd8e7c1e94","split":"validation","step_index":2,"target":"def transform(x):\n table = (-4, 0, 0, -4, -2)\n return x + table[(abs(x) // 2) % 5]\n","task_id":"vlr-formal-v2-0000147","trajectory_id":"vlr-formal-v2-0000147-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:30c5d7e6117a35b400c13efcb862f8071a130a8f13895ec87ed2f9a90d234fe0","candidate_id":"sha256:ee1fe30d0e75d49fa5bf05fd885e7975db3cd584d8b3c3ae433c95b596066317","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (-7, -4, -4, 6, -5, 5)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:145975266421622ceb37f850482cbc8694b18b4bab3a1ed8c60b962c8191136d"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:5b75e4df55d1c1a93a14af0385409b642b53565fb88cd50e803a3eb1d4b72930","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -3}, {\"input\": 2, \"output\": -2}, {\"input\": 3, \"output\": 9}, {\"input\": 4, \"output\": -1}, {\"input\": 5, \"output\": 10}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (3, -4, -4, 6, -5, 5)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:420d0f8d3e1e96101f0fa4e499568e178499911a6f5e4b015c66631467b26908","sample_id":"sha256:e547a885c188b9c41628d2e91487333acafe145315f84ec2e2cd9ad84465c4a4","source_transition_id":"sha256:1c915de929b4d3c29bb0f489fe98f624774376cb172fb325cc0da34837a6ed04","split":"validation","step_index":4,"target":"def transform(x):\n delta = (-7, -4, -4, 6, -5, 5)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000166","trajectory_id":"vlr-formal-v2-0000166-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:c6f7c7339708363c9f155e9ab96971e80b6d35df2b792e0c16ed664e3e9b6c6a","candidate_id":"sha256:c79d5ea7184ea0420e13a950ad1f7722fe3ddfa61df560b6c85a1b6be299622a","certified":true,"rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"text":"def transform(x):\n if x < -6: return x + (6)\n if x < 0: return x + (-6)\n if x < 6: return x + (-4)\n return x + (-9)\n","verification_digest":"sha256:e5216b1d417fb8afd4e6d949ecd400c47e67821387d78920d077cb25100d0542"},"incumbent_rank":{"component_ids":["piecewise_bias.protected.case_000","piecewise_bias.protected.case_001","piecewise_bias.protected.case_002","piecewise_bias.protected.case_003","piecewise_bias.protected.case_004","piecewise_bias.protected.case_005","piecewise_bias.protected.case_006","piecewise_bias.protected.case_007","piecewise_bias.protected.case_008","piecewise_bias.protected.case_009","piecewise_bias.protected.case_010","piecewise_bias.protected.case_011"],"components":[0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:7f262bc043f35a82c9d27db790591fe95084ba9a12a95ea8ccb10fd4ae089852"},"incumbent_state_id":"sha256:30fd34b59c4e1262e6231a6b4bacb6b17e6dfcb8598ec28c210d30971de459a6","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": -27, \"output\": -21}, {\"input\": -3, \"output\": -9}, {\"input\": 3, \"output\": -1}, {\"input\": 27, \"output\": 18}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n if x < -6: return x + (6)\n if x < 0: return x + (-1)\n if x < 6: return x + (-4)\n return x + (-9)\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"piecewise_bias.protected.case_003\", \"piecewise_bias.protected.case_004\", \"piecewise_bias.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:db683ac07052dd29f65bd9b1ffeb629a2d5e6bfe5cf7a63eff9676946177f0ab","sample_id":"sha256:59138aa7ce084483ecd19c712c480129045dd40058d63833c72004daeffbdadd","source_transition_id":"sha256:c1141082f3d084f4d22d070330b2660fc013d5fd4227aaf6e2f44f0879787a97","split":"validation","step_index":1,"target":"def transform(x):\n if x < -6: return x + (6)\n if x < 0: return x + (-6)\n if x < 6: return x + (-4)\n return x + (-9)\n","task_id":"vlr-formal-v2-0000190","trajectory_id":"vlr-formal-v2-0000190-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:a714d42d05399fbf4156310dfe4ae6800bab073f663038be6c46a683413d671b","candidate_id":"sha256:e49192180f6cbe9a7d9e00205175b4ec433e3a010502f49ff6d00386b073bc4e","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n offsets = (0, -7, -7, 7, -3)\n return x + offsets[x % 5]\n","verification_digest":"sha256:76270973c9a9b22aa77ad4a9eba39e30cc60738a772123e434f3994f46608104"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:6ba87c32db9a3c6e5fd94056128743df3ff3f544119c3baed4e8f3b3c9ff0ea5","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": -6}, {\"input\": 2, \"output\": -5}, {\"input\": 3, \"output\": 10}, {\"input\": -1, \"output\": -4}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n offsets = (6, -7, -7, 7, -3)\n return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_000\", \"residue_bias.protected.case_001\", \"residue_bias.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ffe0a60ee80321ee64de58fbb4d70f7220ce7d453f3ebb36d8b5a1298b8d648f","sample_id":"sha256:db49aa3ca978210d65058927be5c9bfcb9271af6db7c680ca39d93877909f013","source_transition_id":"sha256:510d2a2156591f0b3778a28e8bcc2ec1e2fba7426b7e435ba7067fbf2d9d975c","split":"validation","step_index":2,"target":"def transform(x):\n offsets = (0, -7, -7, 7, -3)\n return x + offsets[x % 5]\n","task_id":"vlr-formal-v2-0000211","trajectory_id":"vlr-formal-v2-0000211-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:461cbc2814aeddcf03fccfc418187532417a6579e47e5928961f87f0d2d12fd6","candidate_id":"sha256:62fe04d692eba9352e5b42f58be07326514d51f539d572d23a67f277ed44d03e","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n masks = (3, 1, 1, 3)\n return x ^ masks[x & 3]\n","verification_digest":"sha256:f4e902ea7e9093406efc08b01b34ef6f2d3b70d5d58bc71eb740cce7e8383996"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:bf6152aede4d0a15675f834d98a5139305120454d44143910f8345adf68b4010","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 0}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n masks = (3, 1, 14, 3)\n return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f4041ffbd23a7c741c99a7c4a3bc4ebb3717d417e7f1a64446d9611aeadb511f","sample_id":"sha256:3fd1b3161a89c9e2c02ddecd521ce06ab364642434b945153ddd5eee0cca9881","source_transition_id":"sha256:aa46436b0a2e74f0ae573d2e6fe8447027402eacc63b841bd8d6f51ce17047be","split":"validation","step_index":3,"target":"def transform(x):\n masks = (3, 1, 1, 3)\n return x ^ masks[x & 3]\n","task_id":"vlr-formal-v2-0000224","trajectory_id":"vlr-formal-v2-0000224-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:44b0219c1e36bb970ec5c9feac775dba1943a365575eb76c6ee2ea58a16c2ad9","candidate_id":"sha256:7f9e81480fd42d527f8cca8bdf814da2cf5ba782447914d82b3b221e5dfd66c4","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n offsets = (1, 1, -1, 4, 2)\n return x + offsets[x % 5]\n","verification_digest":"sha256:60d1b3ba357441e7f12be863936983ba93acb33ff177d37b5ec9e7d90934c1ae"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:2e68d1ad545902c10b90cd39885f1c36b0f53fad430cf3f7082e04c1114e0974","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 1}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": 1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n offsets = (1, 1, -2, 4, 2)\n return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_006\", \"residue_bias.protected.case_007\", \"residue_bias.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7b641cd30f3b256160aeeef5e135b7711ecfcd705f6e3e8e067336dd3de8ab25","sample_id":"sha256:6ae5362b70f851fa876ac9468fc415cbae62ec87b2d7cb8241b52cf2ad135bc8","source_transition_id":"sha256:6bdf830331458716cb85278bc4111214ebf6c6c6c254f83e359f1878508be869","split":"validation","step_index":4,"target":"def transform(x):\n offsets = (1, 1, -1, 4, 2)\n return x + offsets[x % 5]\n","task_id":"vlr-formal-v2-0000241","trajectory_id":"vlr-formal-v2-0000241-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:0a0f1ad7a8de73796542e0a6308964c5cc4d3f45ffb92b9dad9f643a2dd90f41","candidate_id":"sha256:838db0ac4d9d2d8cc24dfbdd0e3152c281d568a727598840c0e5eaee8c73e140","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (8, 5, 0, -5, 1, 3)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:0efda909343f3e6273edfc473ba0931d50fb4cea92d39a2c665d0e92b400c73b"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:682ba90b369eb2afa759c702ee66a3d1168eb4514e4426d169fc5d3f9b2e111b","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 8}, {\"input\": 1, \"output\": 6}, {\"input\": 2, \"output\": 2}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 5}, {\"input\": 5, \"output\": 8}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (8, 5, 0, -5, -3, 3)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_012\", \"lookup_delta.protected.case_013\", \"lookup_delta.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7366a94d13b65bf7bd4e704d9b779c5cee4cf958f18119aae1260fc083708fe9","sample_id":"sha256:8bfbf44d680b3b8e5628b4f0434a77aacd5e9aa66e51e6fb3f4d4b4489b01d3b","source_transition_id":"sha256:6fc5c204a8fa6b5ab30be479af5203b394caea365d8c05995927054f31c6cbdc","split":"validation","step_index":1,"target":"def transform(x):\n delta = (8, 5, 0, -5, 1, 3)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000256","trajectory_id":"vlr-formal-v2-0000256-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:413974567a8d9b49d8ae6d0c02d18c3d20a2519ee54a9868041ed0e795966338","candidate_id":"sha256:b658ac8a0f309de534915e344b5c3e3f544b8bbee46c7df80aebc213f2e2e493","certified":true,"rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"text":"def transform(state):\n delta = (1, 2, 5, 4)\n return (state + delta[state & 3]) % 17\n","verification_digest":"sha256:8576afa4c82035e02b34e12dbd498783ce702b13ef149a9b8ac68d3c9a11cb30"},"incumbent_rank":{"component_ids":["fsm_delta.protected.case_000","fsm_delta.protected.case_001","fsm_delta.protected.case_002","fsm_delta.protected.case_003","fsm_delta.protected.case_004","fsm_delta.protected.case_005","fsm_delta.protected.case_006","fsm_delta.protected.case_007","fsm_delta.protected.case_008","fsm_delta.protected.case_009","fsm_delta.protected.case_010","fsm_delta.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:a5c3a1bd6a0fbc42c0f613624f889c21bf7b10dc53587ffc812fb2b18dab5cc1"},"incumbent_state_id":"sha256:894db02f7dfc173fd120cc4897a6abef43f9ecdd9fe3dbfe705033903c7795f8","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(state) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 7}, {\"input\": 3, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(state):\n delta = (1, 2, 4, 4)\n return (state + delta[state & 3]) % 17\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"fsm_delta.protected.case_006\", \"fsm_delta.protected.case_007\", \"fsm_delta.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:ab826a0528fe4e68d46a0e2e9e7a9e1112066e8abf6b97457d3337787f87cce7","sample_id":"sha256:c3e28f3631b35a8e386c4a4367b09294c53126e171c83271170b3283410b59bc","source_transition_id":"sha256:5990539a41ab819a4fa2b2f7ff3a66b7685eddc2cc68c2ea50b86d6446dc5e64","split":"validation","step_index":2,"target":"def transform(state):\n delta = (1, 2, 5, 4)\n return (state + delta[state & 3]) % 17\n","task_id":"vlr-formal-v2-0000265","trajectory_id":"vlr-formal-v2-0000265-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:09e932f782b0d874d46e458560d434dc3faabcb35f1074406ffb5b23f8fa1f1e","candidate_id":"sha256:58d3b4457c02c0432df4f4c04ef7ed410fe3258407919f336139e8e0e39dad1b","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n bias = (6, 2, -1, -2, -2)\n return x * x + bias[x % 5]\n","verification_digest":"sha256:545ec507a6fd8c01a8b713a64e762f655f1a256bf6b010be81cc5bb65df149ef"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,1,1,1,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:c9bbc4e690833def4cebb709068a28fe1e2b98e2175a7378bd81e25f42da5467","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 6}, {\"input\": 1, \"output\": 3}, {\"input\": 2, \"output\": 3}, {\"input\": 3, \"output\": 7}, {\"input\": -1, \"output\": -1}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n bias = (6, -6, -1, -2, -2)\n return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_003\", \"quadratic_residue.protected.case_004\", \"quadratic_residue.protected.case_005\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1508b7cb99192e19fed50039b2222a2994625739f202a8f411227e12898b8961","sample_id":"sha256:b36bd036a22a3910f8af290eaed38337f2246c4cb15c583a51a6032a5d981c3d","source_transition_id":"sha256:343a9b8803096c91b852225d720508c43047bc708f70752c32f80384ccc46819","split":"validation","step_index":4,"target":"def transform(x):\n bias = (6, 2, -1, -2, -2)\n return x * x + bias[x % 5]\n","task_id":"vlr-formal-v2-0000272","trajectory_id":"vlr-formal-v2-0000272-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:85778bfdf833303f9204baace6455ebe336a427ef274e87f112606074a7b1f55","candidate_id":"sha256:b8fe8af995841297684e0489ed78b330ce34a7f75d520f772799d2578a76012c","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n masks = (13, 3, 7, 10)\n return x ^ masks[x & 3]\n","verification_digest":"sha256:2511984f2459ab0522d2ca8de958403c5112bd8e2bf8742a1bea5a5e17a168c0"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:1889eca358748a27dfa04cd550d843850259b8ed3182cabe7c2f39721617730c","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 13}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 5}, {\"input\": 3, \"output\": 9}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n masks = (13, 3, 15, 10)\n return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:423ca365775bcaacd9d1c9b17041486aa407a55f1661f75f19eecdbf2ccbf976","sample_id":"sha256:59c6212aa0896414ab3bfab53f2878b738b111dd27d166cc0938da09dd54031f","source_transition_id":"sha256:317a0a4077b5eddc28b8e2c4308cdf16f3f10be6cce6d7f2d888e3eb206d684b","split":"validation","step_index":1,"target":"def transform(x):\n masks = (13, 3, 7, 10)\n return x ^ masks[x & 3]\n","task_id":"vlr-formal-v2-0000284","trajectory_id":"vlr-formal-v2-0000284-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:252fc99b6dc6e37750ec1504cf687f9be1bbdd7cc286ab0001d4203ca62f43e0","candidate_id":"sha256:f1d017f146a51f3d4ebc68acdf6b7ac369c3e2583d43a329eba3a98eaac8c7dd","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (-7, -3, 8, -7, -1, 2)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:e6c64de06abb6cff808dda2aee52193ae0dc47252c610ffa2b11c6da06ed0abc"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:42089a7accce4519dab07308ec5bcf6b5b1c7a0fdc5a41d20d7d819ce020ce64","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -7}, {\"input\": 1, \"output\": -2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": -4}, {\"input\": 4, \"output\": 3}, {\"input\": 5, \"output\": 7}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (-7, -3, 8, 0, -1, 2)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_009\", \"lookup_delta.protected.case_010\", \"lookup_delta.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:5e45273234413b2ef5454fe75b802efac99bab67d2c7e85f3b9cdb99f6c05957","sample_id":"sha256:f3689f08337de3d1d09e9642f58f03f44d64f706ed5745bfb5836b16f7ec10b8","source_transition_id":"sha256:d44d28f8ca89e884d18b25dc3145c6e41db6efbfedaa8521a15991917f211583","split":"validation","step_index":1,"target":"def transform(x):\n delta = (-7, -3, 8, -7, -1, 2)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000286","trajectory_id":"vlr-formal-v2-0000286-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:853ce620bef9a56edf118e347f87e26658b8b853624fa41a1a628a9b19dbc541","candidate_id":"sha256:a272fa63d39de407d84d60aabc09b7fcd076ebf38ad5c17600a6aec89346fc22","certified":true,"rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"text":"def transform(x):\n bias = (-5, 7, 6, 3, -3)\n return x * x + bias[x % 5]\n","verification_digest":"sha256:4059cf56dc10ea6fdc8749fbf0e0e390afa3845005b5c390af573dc37715268e"},"incumbent_rank":{"component_ids":["quadratic_residue.protected.case_000","quadratic_residue.protected.case_001","quadratic_residue.protected.case_002","quadratic_residue.protected.case_003","quadratic_residue.protected.case_004","quadratic_residue.protected.case_005","quadratic_residue.protected.case_006","quadratic_residue.protected.case_007","quadratic_residue.protected.case_008","quadratic_residue.protected.case_009","quadratic_residue.protected.case_010","quadratic_residue.protected.case_011","quadratic_residue.protected.case_012","quadratic_residue.protected.case_013","quadratic_residue.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],"schema_digest":"sha256:717d3ecca53d12c0ecff394dea1f6a83b72e1be21fb5aef1413f3efc53bc2e4a"},"incumbent_state_id":"sha256:10e0269c1b652c17c0c6256a466dafc171a734996402426d0729fe75684f8257","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -5}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 12}, {\"input\": -1, \"output\": -2}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n bias = (-5, 7, 6, 3, -7)\n return x * x + bias[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"quadratic_residue.protected.case_012\", \"quadratic_residue.protected.case_013\", \"quadratic_residue.protected.case_014\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:1dc959c9aa5b5b2951f581be91bb5073f949dd3b4e23463185c37fd936206d98","sample_id":"sha256:b510d1a89abcee13d766315c13f2f0e1b9438fdb3f5f63d91f1810d43e7ba398","source_transition_id":"sha256:7a0b96f72931ae82f0935b5a84958bca314f9d3e76273875bd633d4337669637","split":"validation","step_index":2,"target":"def transform(x):\n bias = (-5, 7, 6, 3, -3)\n return x * x + bias[x % 5]\n","task_id":"vlr-formal-v2-0000302","trajectory_id":"vlr-formal-v2-0000302-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:fe43112e1b896a9244c0fa70f5559a44789add31d33830a690be7f23ce759587","candidate_id":"sha256:9250051ff773b2713083dc2802ce822956180446beb1eb112c7c4a0d0ca3258c","certified":true,"rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"text":"def transform(x):\n delta = (1, -1, -6, -5, -2, 0)\n return x + delta[abs(x) % 6]\n","verification_digest":"sha256:5038bf8171ce81a7d512dd27fea41d165025bdb34fb81b2d929683b4a9112c2f"},"incumbent_rank":{"component_ids":["lookup_delta.protected.case_000","lookup_delta.protected.case_001","lookup_delta.protected.case_002","lookup_delta.protected.case_003","lookup_delta.protected.case_004","lookup_delta.protected.case_005","lookup_delta.protected.case_006","lookup_delta.protected.case_007","lookup_delta.protected.case_008","lookup_delta.protected.case_009","lookup_delta.protected.case_010","lookup_delta.protected.case_011","lookup_delta.protected.case_012","lookup_delta.protected.case_013","lookup_delta.protected.case_014","lookup_delta.protected.case_015","lookup_delta.protected.case_016","lookup_delta.protected.case_017"],"components":[1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:76785d88257944536d18c179a321bfc1ca0f4274713239e1ee6540260a6e3422"},"incumbent_state_id":"sha256:73bbdcd4f8f5b29700d6bfa92cd8705a39127acc830f4eb6767fb1620ae59269","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 1}, {\"input\": 1, \"output\": 0}, {\"input\": 2, \"output\": -4}, {\"input\": 3, \"output\": -2}, {\"input\": 4, \"output\": 2}, {\"input\": 5, \"output\": 5}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n delta = (-5, -1, -6, -5, -2, 0)\n return x + delta[abs(x) % 6]\n```\n\nSanitized verifier feedback:\npassed_count=15\nfailed_count=3\nfailed_obligation_ids=[\"lookup_delta.protected.case_000\", \"lookup_delta.protected.case_001\", \"lookup_delta.protected.case_002\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:cd8989da42bf6e5e36f3f5c3e446699224f115751273e6f14c8836c8ce1c27bf","sample_id":"sha256:143f682222fd48da003b8232445cde040799b35fa61e517611cde44cf1e0e626","source_transition_id":"sha256:d956d3538e76d954f450f8523f6589c7aca7d34cc2c338be0f4558cf72d42070","split":"validation","step_index":2,"target":"def transform(x):\n delta = (1, -1, -6, -5, -2, 0)\n return x + delta[abs(x) % 6]\n","task_id":"vlr-formal-v2-0000356","trajectory_id":"vlr-formal-v2-0000356-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:ce1c7979025b60587c0ca6fae1ed35d6d312b46d2bbca9c5faf7e8a8287069d9","candidate_id":"sha256:5a5229037cfe7afbad50f5879d21545aac4263d4883abdd9d168fcbfcb2e6aff","certified":true,"rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"text":"def transform(x):\n offsets = (-9, 1, 8, -1, 4)\n return x + offsets[x % 5]\n","verification_digest":"sha256:5ce5dbdd51fee3a59f529a428d4bae207922eb15361471fc83f844c385d9d5ab"},"incumbent_rank":{"component_ids":["residue_bias.protected.case_000","residue_bias.protected.case_001","residue_bias.protected.case_002","residue_bias.protected.case_003","residue_bias.protected.case_004","residue_bias.protected.case_005","residue_bias.protected.case_006","residue_bias.protected.case_007","residue_bias.protected.case_008","residue_bias.protected.case_009","residue_bias.protected.case_010","residue_bias.protected.case_011","residue_bias.protected.case_012","residue_bias.protected.case_013","residue_bias.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:62341d32785d1f40add8b7d9a2033c8b29deb0f308314d764a9e3a6ba15d704a"},"incumbent_state_id":"sha256:f62626c8ab42b315f8657e8416362f2a5ec48dc747c53ea3b68c85014d3f76e1","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": -9}, {\"input\": 1, \"output\": 2}, {\"input\": 2, \"output\": 10}, {\"input\": 3, \"output\": 2}, {\"input\": -1, \"output\": 3}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n offsets = (-9, 1, 8, -2, 4)\n return x + offsets[x % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"residue_bias.protected.case_009\", \"residue_bias.protected.case_010\", \"residue_bias.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:7e2b6b5ed9d3b39c56d48979b000769025dd4cd20392d2f669b4e8fcac9e8e6e","sample_id":"sha256:a50436936542a2ad5a8b8c4bfc1cc2bfca6903cfd759673bf5076e90cefebbd8","source_transition_id":"sha256:c83b97e6f138650b8d230ef35b7cd16145391fc5c9fdfc226d66beec984d5bee","split":"validation","step_index":4,"target":"def transform(x):\n offsets = (-9, 1, 8, -1, 4)\n return x + offsets[x % 5]\n","task_id":"vlr-formal-v2-0000381","trajectory_id":"vlr-formal-v2-0000381-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:3fcc080752b664b759bb5543b9e8cca92ba7d43b07a3b34804a03b19b251d7a0","candidate_id":"sha256:f2d6518b35b3d3b3e7e4df0d5e55d8e95ec3b560f41857e061598a187a8dc847","certified":true,"rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"text":"def transform(x):\n factor = (7, 8, 7, 9, 6)\n return (x * factor[x % 5]) % 29\n","verification_digest":"sha256:63336a684fe69f365c20caaa8e30711ca7031e40c20c4845d2e6c58af19db58f"},"incumbent_rank":{"component_ids":["mod_product.protected.case_000","mod_product.protected.case_001","mod_product.protected.case_002","mod_product.protected.case_003","mod_product.protected.case_004","mod_product.protected.case_005","mod_product.protected.case_006","mod_product.protected.case_007","mod_product.protected.case_008","mod_product.protected.case_009","mod_product.protected.case_010","mod_product.protected.case_011","mod_product.protected.case_012","mod_product.protected.case_013","mod_product.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:6ac950c9661dea9868fa486598b7ec23163b86e05da90c002af3a090fbc2b7b2"},"incumbent_state_id":"sha256:baa2ee36d92f9436a89b03436ccc3b658db7d63fa5603c6bd91a009dc94140f4","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 0}, {\"input\": 1, \"output\": 8}, {\"input\": 2, \"output\": 14}, {\"input\": 3, \"output\": 27}, {\"input\": -1, \"output\": 23}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n factor = (7, 8, 7, 6, 6)\n return (x * factor[x % 5]) % 29\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"mod_product.protected.case_009\", \"mod_product.protected.case_010\", \"mod_product.protected.case_011\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:fe57ffd837c7b70a2f5f5ffc7b75526b8aa3903d4e12e8b3f002e3695aa4c1d7","sample_id":"sha256:d6963cff91d9d3c84815da7dcced641bfb802caabc0f2270869cb2760c26c661","source_transition_id":"sha256:95a306ba005fef6a47cb79bc9f70e22f4169b8f4b54234976482541ca56dd370","split":"validation","step_index":4,"target":"def transform(x):\n factor = (7, 8, 7, 9, 6)\n return (x * factor[x % 5]) % 29\n","task_id":"vlr-formal-v2-0000383","trajectory_id":"vlr-formal-v2-0000383-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:2a5333e871c00268cdcc9880831f3d0033dcb1a4f48941deb584b7f7f01be5dd","candidate_id":"sha256:74423356dee47360287da563bde52cf455df5db9de4f8350e8558cd7a44d644d","certified":true,"rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"text":"def transform(x):\n masks = (5, 8, 11, 13)\n return x ^ masks[x & 3]\n","verification_digest":"sha256:208069875b8e09b502920ea2efa21dcd6831ea14f68d3e1736985ff71eac2673"},"incumbent_rank":{"component_ids":["xor_mask.protected.case_000","xor_mask.protected.case_001","xor_mask.protected.case_002","xor_mask.protected.case_003","xor_mask.protected.case_004","xor_mask.protected.case_005","xor_mask.protected.case_006","xor_mask.protected.case_007","xor_mask.protected.case_008","xor_mask.protected.case_009","xor_mask.protected.case_010","xor_mask.protected.case_011"],"components":[0,0,0,0,0,0,1,1,1,0,0,0],"schema_digest":"sha256:21dfef52a6448421761b963b8691837acd262fe7cfa95d56ac83a8c9f0f3a166"},"incumbent_state_id":"sha256:b6f4787c9a0a59977c6dce16659bbdb3034a4070d8600a6e697f01422b3cbb99","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 5}, {\"input\": 1, \"output\": 9}, {\"input\": 2, \"output\": 9}, {\"input\": 3, \"output\": 14}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n masks = (5, 8, 9, 13)\n return x ^ masks[x & 3]\n```\n\nSanitized verifier feedback:\npassed_count=9\nfailed_count=3\nfailed_obligation_ids=[\"xor_mask.protected.case_006\", \"xor_mask.protected.case_007\", \"xor_mask.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:f80d7a35067ec131a72a386fd59fa107817596bab7f9d60d4c5a4d735ae0efcc","sample_id":"sha256:3e41106647cead841a4a8ad39f3560a2fdde5d75eb732ed418d265f306bbb135","source_transition_id":"sha256:6bad6a727b022bb6181ee5a56f5f45768f1af5cef102115d0a3b55d2b7f4811a","split":"validation","step_index":2,"target":"def transform(x):\n masks = (5, 8, 11, 13)\n return x ^ masks[x & 3]\n","task_id":"vlr-formal-v2-0000394","trajectory_id":"vlr-formal-v2-0000394-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
| {"accepted":{"artifact_digest":"sha256:c455e7bd9729b2d8ca438f411e382d306c529bf09cfc6663ed14f05ecb9011b8","candidate_id":"sha256:28c91e734d3dffa212280af5175da937b596cfd8353fe62be56e302cf2aae781","certified":true,"rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"text":"def transform(x):\n table = (3, -4, -6, 6, 7)\n return x + table[(abs(x) // 2) % 5]\n","verification_digest":"sha256:cbc25a5bcfc0b056ddae02e3ad866a89c5094c6e0d17c3640b8334c78d5788ad"},"incumbent_rank":{"component_ids":["signed_bucket.protected.case_000","signed_bucket.protected.case_001","signed_bucket.protected.case_002","signed_bucket.protected.case_003","signed_bucket.protected.case_004","signed_bucket.protected.case_005","signed_bucket.protected.case_006","signed_bucket.protected.case_007","signed_bucket.protected.case_008","signed_bucket.protected.case_009","signed_bucket.protected.case_010","signed_bucket.protected.case_011","signed_bucket.protected.case_012","signed_bucket.protected.case_013","signed_bucket.protected.case_014"],"components":[0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],"schema_digest":"sha256:9a3417dbc60677d3a051f8b8b535d527ad5be33883c5f04914819bf8e4aa6b47"},"incumbent_state_id":"sha256:1cc8fca506c8798a7ee3496ccad05e8939b969886049b80f55c6d4f32bd8871d","prompt_messages":[{"content":"Use only the task, the current implementation, and the provided verification feedback. Return only a complete corrected Python implementation. Preserve already-passing requirements while addressing unresolved failures.","role":"system"},{"content":"Task:\nRepair the Python function transform(x) using the visible examples and the verifier feedback. A valid correction must improve unresolved protected obligations without regressing any already-satisfied protected obligation.\n\nVisible examples:\n[{\"input\": 0, \"output\": 3}, {\"input\": 2, \"output\": -2}, {\"input\": 4, \"output\": -2}, {\"input\": 6, \"output\": 12}, {\"input\": 8, \"output\": 15}]\n\nCurrent certified implementation:\n```python\ndef transform(x):\n table = (3, -4, -7, 6, 7)\n return x + table[(abs(x) // 2) % 5]\n```\n\nSanitized verifier feedback:\npassed_count=12\nfailed_count=3\nfailed_obligation_ids=[\"signed_bucket.protected.case_006\", \"signed_bucket.protected.case_007\", \"signed_bucket.protected.case_008\"]\n\nProduce the next complete implementation.","role":"user"}],"record_digest":"sha256:6a1d8a6eaf44072b1147d2b19b8b37dac4038fd9affbc5dcaeeaf0d01d6493b5","sample_id":"sha256:67a51f7dad3f1f060cfa7511b63e0d3db6e61733dd61b0944aa8e789c3e6ac9a","source_transition_id":"sha256:23ffbbfb39975e2e97395e5f294f68b6f91ec21c7b6c6dd0a42c2dd622ea9f8c","split":"validation","step_index":2,"target":"def transform(x):\n table = (3, -4, -6, 6, 7)\n return x + table[(abs(x) // 2) % 5]\n","task_id":"vlr-formal-v2-0000397","trajectory_id":"vlr-formal-v2-0000397-trajectory","view_type":"certified_generation","view_version":"1.0.0"} |
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