Mathematical proof: O(1) search-based retrieval vs O(n) CLAUDE.md approach. Save $460/month at typical usage (600 sessions).
✓ Mathematical proof included • ✓ Scales beyond 674 decisions • ✓ O(1) vs O(n) complexity advantage
Based on mathematical proof at 938 decisions and Claude API pricing ($3 per million tokens)
Typical developer usage: 100-600 sessions per month
| Sessions/Month | Monthly Savings | Annual Savings | ROI vs $15 Plan |
|---|---|---|---|
| 50 | $32.11 | $385.32 | +114% |
| 100 | $64.22 | $770.64 | +328% |
| 200 | $128.44 | $1541.28 | +756% |
| 600 | $385.32 | $4623.84 | +2469% |
Massive savings start immediately - At 600 sessions/month, save $460/month ($5,520/year) with just a $15/month plan
Real-world analysis of CLAUDE.md scaling limits vs Continuity's O(1) search-based retrieval
Actual production CLAUDE.md file with 938 logged decisions. Base instructions: 7,053 tokens. Average per decision: 286 tokens.
System breaks at 674 decisions when CLAUDE.md exceeds 200K token context limit.
CLAUDE.md grows linearly: 275,321 tokens at 938 decisions. Every session loads ALL decisions regardless of relevance.
Cost per session: $0.702 (Claude pricing). Unusable beyond 674 decisions.
Continuity loads only relevant decisions via semantic search. Total: 20,073 tokens at 938 decisions (92.7% savings).
Cost per session: $0.060. Scales indefinitely with constant token usage.
Complexity analysis: O(1) vs O(n). Continuity maintains constant 20K tokens while CLAUDE.md grows linearly.
13.7× efficiency multiplier. System breaks at 674 decisions. Full analysis in documentation.
The more decisions you log, the worse CLAUDE.md performs. Continuity maintains constant efficiency.
Production CLAUDE.md with 938 decisions vs Continuity's search-based retrieval
Complete mathematical proof, real CLAUDE.md analysis, and scaling comparison available on GitHub.