The Mechanism · Gated-generation receipt

gen-calculate-the-compound-interest-on-1000-at-5-annual-rate-for-c11b

stable pending witness
2026-05-26 10:36:54 UTC · anthropic/claude-sonnet-4-5

Prompt

Calculate the compound interest on $1000 at 5% annual rate for 10 years. Show the formula.
90 chars

Generation

# Compound Interest Calculation ## Formula **A = P(1 + r)^t** Where: - **A** = Final amount - **P** = Principal (initial amount) - **r** = Annual interest rate (as a decimal) - **t** = Time in years ## Given Values - P = $1,000 - r = 5% = 0.05 - t = 10 years ## Calculation A = 1000(1 + 0.05)^10 A = 1000(1.05)^10 A = 1000(1.62889) **A = $1,628.89** ## Compound Interest Earned Compound Interest = A - P Compound Interest = $1,628.89 - $1,000.00 **Compound Interest = $628.89** --- ### Summary - **Final Amount**: $1,628.89 - **Interest Earned**: $628.89 - **Original Principal**: $1,000.00
32 tokens in · 245 tokens out · 4348 ms · $0.0038

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
BROTHERS
deferred
no witnesses available (Witness Roll not yet constituted)
GOD
pass
no timing constraints configured for this query

Verifier results

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

Metrics

Total latency
4823.1 ms
Base LLM
4348.0 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0038

Trail

10:36:54 received prompt_chars=90 verifiers=['scripture_anchors', 'theology_doctrine']
10:36:54 red_gate decision=pass reason=no disqualifying input patterns detected
10:36:59 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=32 tokens_out=245 latency_ms=4348.0 cost_usd=0.0038
10:36:59 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
10:36:59 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
10:36:59 floor_gate decision=pass reason=output above protective minimum; no mismatches
10:36:59 brothers_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
10:36:59 god_gate decision=pass reason=no timing constraints configured for this query
10:36:59 signed hash_algo=sha256 hash=sha256:7f20720f9ed2688a4227d0902e766fb5ef84626c09c52d728f979428e7c8f506

Content hash

sha256:7f20720f9ed2688a4227d0902e766fb5ef84626c09c52d728f979428e7c8f506

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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