The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-amortized-analysis-state-any-key-fo-e463

stable pending witness
2026-05-29 06:46:38 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain amortized analysis. State any key formula.
68 chars

Generation

Amortized analysis is a technique for analyzing the average time complexity of a sequence of operations, rather than focusing on the worst-case time of individual operations. It distributes the cost of expensive operations across all operations in the sequence, providing a more accurate picture of performance when occasional costly operations are balanced by many cheap ones. **Key formula**: Amortized cost = (Total cost of n operations) / n The three main methods are aggregate analysis (computing total cost directly), accounting method (assigning credits to operations), and potential method (using a potential function Φ to track stored work, where amortized cost = actual cost + ΔΦ).
26 tokens in · 144 tokens out · 5021 ms · $0.0022

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
5030.3 ms
Base LLM
5021.1 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0022

Trail

06:46:38 received prompt_chars=68 verifiers=['scripture_anchors', 'theology_doctrine']
06:46:38 red_gate decision=pass reason=no disqualifying input patterns detected
06:46:43 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=26 tokens_out=144 latency_ms=5021.1 cost_usd=0.0022
06:46:43 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:46:43 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:46:43 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:46:43 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:46:43 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:46:43 signed hash_algo=sha256 hash=sha256:ff7ebe9697d1c3f59edff6b6451591d9c0f5420f696a0becc2c5101bb0ec40a2

Content hash

sha256:ff7ebe9697d1c3f59edff6b6451591d9c0f5420f696a0becc2c5101bb0ec40a2

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

Bring another teaching · Run a discernment