{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 1, "outcome": "rejected", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0],[1,0,0,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1],[0,0,1,0]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1],[\"1/2\",\"1/2\",\"1/2\",\"1/2\"]]}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.68}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 2, "outcome": "rejected", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0],[1,0,0,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1],[0,0,1,0]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1],[\"1/2\",\"1/2\",\"1/2\",\"1/2\"]]}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.404}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 3, "outcome": "rejected", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0],[1,0,0,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1],[0,0,1,0]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1],[\"1/2\",\"1/2\",\"1/2\",\"1/2\"]]}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.511}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 4, "outcome": "rejected", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0],[1,0,0,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1],[0,0,1,0]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1],[\"1/2\",\"1/2\",\"1/2\",\"1/2\"]]}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.422}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 5, "outcome": "malformed", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0],[1,0,0,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1],[0,0,1,0]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1],[0.5,0.5,0.5,0.5]]}\n```", "witness": null, "feedback": "Your reply did not parse as the required JSON object {\"u\": [...], \"v\": [...], \"w\": [...]}. Reply with ONLY that JSON object \u2014 no prose, no markdown code fences.", "latency_s": 1.578}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 6, "outcome": "rejected", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0],[1,0,0,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1],[0,0,1,0]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1],[\"1/2\",\"1/2\",\"1/2\",\"1/2\"]]}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.437}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 7, "outcome": "rejected", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1]]}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.375}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 8, "outcome": "rejected", "proposal_raw": "```json\n{\"u\": [[1,0,0,0],[0,1,0,0],[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0],[1,0,1,0]], \"v\": [[1,0,0,0],[0,0,1,0],[0,1,0,0],[0,0,0,1],[0,1,0,0],[0,0,0,1],[0,0,1,0]], \"w\": [[1,0,0,0],[0,1,0,0],[0,0,0,1],[0,0,1,0],[0,0,0,1],[0,0,0,1],[0,0,0,0]]}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.64}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 1, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [1, 0, 0, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 2.048}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 2, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.944}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 3, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.781}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 4, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 2.021}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 5, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.879}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 6, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.873}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 7, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 2.067}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 8, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.922}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 1, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [1, 0, 0, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 2.051}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 2, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 2.031}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 3, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 2.279}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 4, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.909}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 5, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.772}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 6, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.81}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 7, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.954}
{"family": "matmul", "model": "claude-haiku-4-5-20251001", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 8, "outcome": "rejected", "proposal_raw": "```json\n{\n  \"u\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [1, 0, 0, 0]\n  ],\n  \"v\": [\n    [1, 0, 0, 0],\n    [0, 0, 1, 0],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ],\n  \"w\": [\n    [1, 0, 0, 0],\n    [0, 1, 0, 0],\n    [0, 0, 1, 0],\n    [0, 0, 0, 1],\n    [0, 1, 0, 0],\n    [0, 0, 0, 1],\n    [0, 0, 1, 0]\n  ]\n}\n```", "witness": null, "feedback": "Your proposal failed the screen: wrong row lengths, more rows than the rank bound, or a floating-point spot-check mismatch. Recheck the stated convention and shapes, then reply with ONLY the corrected JSON object.", "latency_s": 1.797}
{"family": "matmul", "model": "claude-opus-5", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 0, "round": 1, "outcome": "certified", "proposal_raw": "{\"u\": [[1,0,0,1],[0,0,1,1],[1,0,0,0],[0,0,0,1],[1,1,0,0],[-1,0,1,0],[0,1,0,-1]], \"v\": [[1,0,0,1],[1,0,0,0],[0,1,0,-1],[-1,0,1,0],[0,0,0,1],[1,1,0,0],[0,0,1,1]], \"w\": [[1,0,0,1],[0,0,1,-1],[0,1,0,1],[1,0,1,0],[-1,1,0,0],[0,0,0,1],[1,0,0,0]]}", "witness": "exact tensor identity holds; rank 7 <= 7", "feedback": null, "latency_s": 7.923}
{"family": "matmul", "model": "claude-opus-5", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 1, "round": 1, "outcome": "certified", "proposal_raw": "{\"u\": [[1,0,0,1],[0,0,1,1],[1,0,0,0],[0,0,0,1],[1,1,0,0],[-1,0,1,0],[0,1,0,-1]], \"v\": [[1,0,0,1],[1,0,0,0],[0,1,0,-1],[-1,0,1,0],[0,0,0,1],[1,1,0,0],[0,0,1,1]], \"w\": [[1,0,0,1],[0,0,1,-1],[0,1,0,1],[1,0,1,0],[-1,1,0,0],[0,0,0,1],[1,0,0,0]]}", "witness": "exact tensor identity holds; rank 7 <= 7", "feedback": null, "latency_s": 9.384}
{"family": "matmul", "model": "claude-opus-5", "tag": "v3-loop", "target": "(2, 2, 2, 7)", "trajectory": 2, "round": 1, "outcome": "certified", "proposal_raw": "{\"u\": [[1,0,0,1],[0,0,1,1],[1,0,0,0],[0,0,0,1],[1,1,0,0],[-1,0,1,0],[0,1,0,-1]], \"v\": [[1,0,0,1],[1,0,0,0],[0,1,0,-1],[-1,0,1,0],[0,0,0,1],[1,1,0,0],[0,0,1,1]], \"w\": [[1,0,0,1],[0,0,1,-1],[0,1,0,1],[1,0,1,0],[-1,1,0,0],[0,0,0,1],[1,0,0,0]]}", "witness": "exact tensor identity holds; rank 7 <= 7", "feedback": null, "latency_s": 8.523}