The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-a-taylor-series-answer-concisely-b2a9

stable pending witness
2026-05-29 08:19:58 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of a Taylor series? Answer concisely in 2-3 sentences.
79 chars

Generation

A Taylor series represents a function as an infinite sum of terms calculated from the function's derivatives at a single point, allowing complex functions to be approximated by polynomials. This is significant because polynomials are much easier to compute, differentiate, and integrate than many other functions, making Taylor series essential for numerical calculations, physics simulations, and engineering applications.
28 tokens in · 77 tokens out · 2583 ms · $0.0012

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
2589.5 ms
Base LLM
2582.7 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0012

Trail

08:19:58 received prompt_chars=79 verifiers=['scripture_anchors', 'theology_doctrine']
08:19:58 red_gate decision=pass reason=no disqualifying input patterns detected
08:20:00 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=77 latency_ms=2582.7 cost_usd=0.0012
08:20:00 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:20:00 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:20:00 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:20:00 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:20:00 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:20:00 signed hash_algo=sha256 hash=sha256:6a0165af709586738b2b8bd2834fa6a91e92c1f2fe5b1e47544167c18874fb1e

Content hash

sha256:6a0165af709586738b2b8bd2834fa6a91e92c1f2fe5b1e47544167c18874fb1e

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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