The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-amortized-analysis-answer-concis-b0ad

stable pending witness
2026-05-29 02:49:01 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of amortized analysis? Answer concisely in 2-3 sentences.
82 chars

Generation

Amortized analysis determines the average cost per operation over a sequence of operations, rather than analyzing worst-case costs in isolation. This is significant because it provides tighter, more realistic performance bounds for data structures where expensive operations occur infrequently and are offset by many cheap operations. It helps justify the practical efficiency of algorithms like dynamic array resizing or splay trees that may have occasional costly operations.
29 tokens in · 86 tokens out · 3330 ms · $0.0014

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
3337.3 ms
Base LLM
3330.0 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0014

Trail

02:49:01 received prompt_chars=82 verifiers=['scripture_anchors', 'theology_doctrine']
02:49:01 red_gate decision=pass reason=no disqualifying input patterns detected
02:49:04 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=86 latency_ms=3330.0 cost_usd=0.0014
02:49:04 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
02:49:04 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
02:49:04 floor_gate decision=pass reason=output above protective minimum; no mismatches
02:49:04 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
02:49:04 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
02:49:04 signed hash_algo=sha256 hash=sha256:cde83d0311cb2f8915d4705e61cb8cd92238d7c27c7ffea71ec01e6b0e88b7b8

Content hash

sha256:cde83d0311cb2f8915d4705e61cb8cd92238d7c27c7ffea71ec01e6b0e88b7b8

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.

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