Phase 2: analysis layer (analyze.js), cache guard, log hygiene

- analyze.js: burn rate, weekly reconstruction, cycle stagger, rotation
  rank, underspend alerts, log prune with weekly archive
- logger.js: getCachedRun(maxAgeMinutes) — skip probing if recent data exists
- monitor.js: cache guard at wake — 20-min dedup, zero extra API calls
- test.js: fix type assertion for gemini-api/xai-api providers (+5 passing);
  add 14 new tests for cache guard and analyze.js (162 total, all green)
- docs/analyze.md: usage reference

Co-authored-by: Hannibal Smith <hannibal@trentuna.com>

docs/analyze.md

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+# analyze.js — Token Monitor Analysis CLI
+
+Reads accumulated JSONL logs from `~/.logs/token-monitor/` and produces burn
+rates, weekly stats, reset schedule, and rotation recommendations.
+
+## Usage
+
+```
+node analyze.js                         # full report (default)
+node analyze.js --burn-rate             # burn rate per account only
+node analyze.js --weekly                # weekly budget reconstruction
+node analyze.js --stagger               # reset schedule (next 48h)
+node analyze.js --rotation              # rotation recommendation only
+node analyze.js --json                  # JSON output (all sections)
+node analyze.js --provider team-nadja   # filter to one provider
+node analyze.js --prune                 # prune logs older than 30 days
+node analyze.js --prune --dry-run       # dry run — show what would be pruned
+```
+
+## Output sections
+
+**Burn Rate** — delta analysis of 7d utilization over time, projected
+exhaustion at current rate. Requires ≥ 2 data points per provider.
+
+**Reset Schedule** — providers resetting within the next 48 hours, sorted
+ascending by time to reset.
+
+**Weekly Reconstruction** — peak and average 7d utilization per provider per
+ISO week. Shows exhaustion events (status=rejected).
+
+**Rotation Recommendation** — ranked provider list. Rules in priority order:
+1. Invalid key → bottom (unusable)
+2. Maxed/rejected → deprioritize; soonest reset wins tiebreaker
+3. Dormant → reserve for cycle staggering
+4. Active: rank by headroom (1 - utilization_7d)
+
+**Underspend Alerts** — active accounts with ≥ 40% of 5h window unused and
+< 2h until reset. These tokens expire unused — boost them.
+
+## Log format
+
+Input: `~/.logs/token-monitor/YYYY-MM-DD.jsonl` — one JSON object per line.
+
+Pruned archives: `~/.logs/token-monitor/weeks/YYYY-WNN.json` — weekly
+aggregates with peak/avg utilization and sample counts.
+
+## Cadence
+
+Logs are written by `monitor.js` at each Vigilio wake (max once per 20
+minutes — cache guard prevents double-logging within a session). Expected:
+~15–20 data points/day per active provider, ~100–140/week.
+
+At target cadence, log footprint is < 1MB/month. --prune trims files older
+than 30 days after archiving them into weekly summaries.