The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-the-internal-rate-of-return-state-a-2b09

stable pending witness
2026-05-29 03:00:58 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain the internal rate of return. State any key formula.
77 chars

Generation

The internal rate of return (IRR) is the discount rate that makes the net present value (NPV) of all cash flows from an investment equal to zero. It represents the expected annualized rate of return an investment will generate over its lifetime. The key formula is: **NPV = Σ [CFt / (1 + IRR)^t] - Initial Investment = 0**, where CFt is the cash flow at time t. IRR is useful for comparing investment opportunities, with higher IRRs generally indicating more profitable investments, though it should be used alongside other metrics for investment decisions.
27 tokens in · 134 tokens out · 7137 ms · $0.0021

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
7144.0 ms
Base LLM
7136.8 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

03:00:58 received prompt_chars=77 verifiers=['scripture_anchors', 'theology_doctrine']
03:00:58 red_gate decision=pass reason=no disqualifying input patterns detected
03:01:05 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=134 latency_ms=7136.8 cost_usd=0.0021
03:01:05 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:01:05 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:01:05 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:01:05 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:01:05 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:01:05 signed hash_algo=sha256 hash=sha256:2d412621d8e8cc4eee820c6ed309907051e45b12b1817ba18c4e405fe5913316

Content hash

sha256:2d412621d8e8cc4eee820c6ed309907051e45b12b1817ba18c4e405fe5913316

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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