{
  "cases": [
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": null,
      "expected_rate_ms": 1076,
      "floor_ms": 1076,
      "mean_ms": 700,
      "name": "steady presses, mean-dominated, within 10% of the default",
      "p95_ms": 770,
      "response_times_ms": [
        620,
        680,
        700,
        710,
        690,
        740,
        660,
        730,
        700,
        770,
        650,
        750
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": 2000,
      "expected_rate_ms": 2000,
      "floor_ms": 2000,
      "mean_ms": 830,
      "name": "one slow press, P95-dominated",
      "p95_ms": 2000,
      "response_times_ms": [
        700,
        700,
        700,
        700,
        700,
        700,
        700,
        700,
        700,
        2000
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": 1500,
      "expected_rate_ms": 1500,
      "floor_ms": 1500,
      "mean_ms": 605,
      "name": "n = 20, the 19th smallest is the P95",
      "p95_ms": 1500,
      "response_times_ms": [
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        500,
        1500,
        1600
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": 300,
      "expected_rate_ms": 300,
      "floor_ms": 230,
      "mean_ms": 150,
      "name": "fast presses, clamped to the lower bound",
      "p95_ms": 150,
      "response_times_ms": [
        150,
        150,
        150,
        150,
        150,
        150,
        150,
        150,
        150,
        150
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": 5000,
      "expected_rate_ms": 5000,
      "floor_ms": 6153,
      "mean_ms": 4000,
      "name": "slow presses, clamped to the upper bound",
      "p95_ms": 4000,
      "response_times_ms": [
        4000,
        4000,
        4000,
        4000,
        4000,
        4000,
        4000,
        4000,
        4000,
        4000
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": 692,
      "expected_rate_ms": 692,
      "floor_ms": 692,
      "mean_ms": 450,
      "name": "faster than the default, within bounds",
      "p95_ms": 470,
      "response_times_ms": [
        430,
        450,
        470,
        440,
        460,
        450,
        455,
        445,
        450,
        450
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": 1100,
      "expected_rate_ms": 1100,
      "floor_ms": 1100,
      "mean_ms": 715,
      "name": "exactly 10% slower is proposed",
      "p95_ms": 715,
      "response_times_ms": [
        715,
        715,
        715,
        715,
        715,
        715,
        715,
        715,
        715,
        715
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": null,
      "expected_rate_ms": 1098,
      "floor_ms": 1098,
      "mean_ms": 714,
      "name": "just under 10% slower is not",
      "p95_ms": 714,
      "response_times_ms": [
        714,
        714,
        714,
        714,
        714,
        714,
        714,
        714,
        714,
        714
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": null,
      "expected_rate_ms": 2000,
      "floor_ms": 2000,
      "mean_ms": 1300,
      "name": "nine presses: not enough to change anything",
      "p95_ms": 1300,
      "response_times_ms": [
        1300,
        1300,
        1300,
        1300,
        1300,
        1300,
        1300,
        1300,
        1300
      ]
    },
    {
      "current_rate_ms": 1000,
      "expected_proposal_ms": null,
      "expected_rate_ms": 960,
      "floor_ms": 960,
      "mean_ms": 510,
      "name": "a full 50-response window",
      "p95_ms": 960,
      "response_times_ms": [
        20,
        40,
        60,
        80,
        100,
        120,
        140,
        160,
        180,
        200,
        220,
        240,
        260,
        280,
        300,
        320,
        340,
        360,
        380,
        400,
        420,
        440,
        460,
        480,
        500,
        520,
        540,
        560,
        580,
        600,
        620,
        640,
        660,
        680,
        700,
        720,
        740,
        760,
        780,
        800,
        820,
        840,
        860,
        880,
        900,
        920,
        940,
        960,
        980,
        1000
      ]
    }
  ],
  "rule": {
    "adaptive_rate_default": false,
    "bounds_ms": [
      300,
      5000
    ],
    "default_rate_ms": 1000,
    "floor": "F = max(floor(100 * M / 65), P95)",
    "mean": "M = floor(sum / n) over the most recent responses, at most `window`",
    "min_samples": 10,
    "p95": "the ceil(0.95 * n)-th smallest response (nearest rank)",
    "proposal": "the rate, once n >= min_samples and |rate - current| * 100 >= current * proposal_min_change_pct",
    "proposal_min_change_pct": 10,
    "rate": "clamp(F, bounds_ms[0], bounds_ms[1])",
    "window": 50
  },
  "spec": "SPEC.md §5.1–§5.2",
  "standard": "aac",
  "vector": "scan_rate",
  "version": "0.2.0"
}