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exp: 轮次32——均匀细分认证一次调用可证段内碰撞，界经720项检验未证伪，但P50≤20ms的档只能证出54~63%

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- certify_uniform：固定 n 个子段一次 gaps 调用，判据与二分同源（子段界=整段界/n），证不出即拒
- 确定界反证：48段×121点×15组对=720项检验 0 违例；有信息量仅 61 项，最紧仍高出 0.035 mm
  （是"未能在真实运动上证伪"，不是证明；浮点误差仍未形式化）
- 第180题 1.08-1.10s 漏检段在每个 n>=8 均判碰撞；二次加密(2n+1)反证 0 误放行
- 更正轮次31的"自适应cap无收益"：旧公式 bound/2+eps 会把本可通过的子段钳成不可证；
  改为 bound+2eps 后交错实测决策不变、快 1.36~1.65x（n=8 13.13→9.68，n=128 98.46→59.76 ms）
- 负结论：只有 n<=16 能把认证压进 20 ms，但该档仅证出 26-30/48 根，其余必须刹停；
  成本=log(bound/间隙) 决定，故下一步要在反馈后限幅并让安全层要求正余量（现 cap=0.5 会截掉余量）
- 测试 23→26 项：n=5拒/n=6受的解析对照、cap_required 公式、n 张量类型门
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cbb
2026-10-20 19:30:02 +08:00
parent 6de085fd37
commit c6b46b8bb1
6 changed files with 389 additions and 4 deletions
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docs/experiment_round32_uniform_latency.json
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{
"device": "cuda float64",
"torch": "2.10.0+cu130",
"kin_fp": "2ebcbf17",
"roots_per_call": 2,
"pairs": 24,
"warm": 3,
"reps": 7,
"segment_sample": "docs/experiment_round31_certificates.json 的 48 段两两成对",
"design": "每对根轮流按正序/逆序测完全部配置（3次预热+7次计时）；uniform_auto 的宽相位=最大子段界+2eps，uniform_cap20 固定 20 mm，bisect 为第31轮逐层二分口径",
"results": [
{
"kind": "uniform_auto",
"n_or_budget": 8,
"points": 18,
"cap_used_mm": 5.9191,
"calls": 168,
"p50_ms": 9.684,
"p90_ms": 13.027,
"p99_ms": 15.157,
"max_ms": 17.537,
"over_20ms": 0,
"roots": 48,
"safe": 26,
"collision": 1,
"rejected": 21
},
{
"kind": "uniform_auto",
"n_or_budget": 16,
"points": 34,
"cap_used_mm": 2.9597,
"calls": 168,
"p50_ms": 14.137,
"p90_ms": 18.454,
"p99_ms": 20.866,
"max_ms": 21.632,
"over_20ms": 5,
"roots": 48,
"safe": 30,
"collision": 1,
"rejected": 17
},
{
"kind": "uniform_auto",
"n_or_budget": 32,
"points": 66,
"cap_used_mm": 1.4799,
"calls": 168,
"p50_ms": 20.209,
"p90_ms": 27.88,
"p99_ms": 32.268,
"max_ms": 35.563,
"over_20ms": 87,
"roots": 48,
"safe": 34,
"collision": 1,
"rejected": 13
},
{
"kind": "uniform_auto",
"n_or_budget": 64,
"points": 130,
"cap_used_mm": 0.7401,
"calls": 168,
"p50_ms": 31.429,
"p90_ms": 48.751,
"p99_ms": 57.697,
"max_ms": 62.084,
"over_20ms": 165,
"roots": 48,
"safe": 36,
"collision": 1,
"rejected": 11
},
{
"kind": "uniform_auto",
"n_or_budget": 128,
"points": 258,
"cap_used_mm": 0.3701,
"calls": 168,
"p50_ms": 59.761,
"p90_ms": 89.063,
"p99_ms": 109.086,
"max_ms": 117.345,
"over_20ms": 168,
"roots": 48,
"safe": 38,
"collision": 1,
"rejected": 9
},
{
"kind": "uniform_cap20",
"n_or_budget": 8,
"points": 18,
"cap_used_mm": 20.0,
"calls": 168,
"p50_ms": 13.129,
"p90_ms": 16.44,
"p99_ms": 20.963,
"max_ms": 24.67,
"over_20ms": 3,
"roots": 48,
"safe": 26,
"collision": 1,
"rejected": 21
},
{
"kind": "uniform_cap20",
"n_or_budget": 32,
"points": 66,
"cap_used_mm": 20.0,
"calls": 168,
"p50_ms": 28.415,
"p90_ms": 39.579,
"p99_ms": 53.023,
"max_ms": 59.983,
"over_20ms": 153,
"roots": 48,
"safe": 34,
"collision": 1,
"rejected": 13
},
{
"kind": "uniform_cap20",
"n_or_budget": 64,
"points": 130,
"cap_used_mm": 20.0,
"calls": 168,
"p50_ms": 50.85,
"p90_ms": 75.512,
"p99_ms": 88.355,
"max_ms": 91.492,
"over_20ms": 168,
"roots": 48,
"safe": 36,
"collision": 1,
"rejected": 11
},
{
"kind": "uniform_cap20",
"n_or_budget": 128,
"points": 258,
"cap_used_mm": 20.0,
"calls": 168,
"p50_ms": 98.46,
"p90_ms": 139.982,
"p99_ms": 167.042,
"max_ms": 177.743,
"over_20ms": 168,
"roots": 48,
"safe": 38,
"collision": 1,
"rejected": 9
},
{
"kind": "bisect",
"n_or_budget": 32,
"points": null,
"cap_used_mm": 20.0,
"calls": 168,
"p50_ms": 54.885,
"p90_ms": 82.151,
"p99_ms": 117.205,
"max_ms": 118.716,
"over_20ms": 133,
"roots": 48,
"safe": 37,
"collision": 1,
"rejected": 10
},
{
"kind": "bisect",
"n_or_budget": 65,
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"cap_used_mm": 20.0,
"calls": 168,
"p50_ms": 71.825,
"p90_ms": 108.559,
"p99_ms": 122.533,
"max_ms": 127.319,
"over_20ms": 133,
"roots": 48,
"safe": 41,
"collision": 1,
"rejected": 6
}
],
"wall_s": 108.63
}