The Mechanism · Gated-generation receipt

gen-define-player-efficiency-rating-and-give-one-short-worked-ex-249b

stable pending witness
2026-05-29 06:44:44 UTC · anthropic/claude-sonnet-4-5

Prompt

Define player efficiency rating and give one short worked example.
66 chars

Generation

# Player Efficiency Rating (PER) **Player Efficiency Rating (PER)** is a basketball statistic developed by John Hollinger that summarizes a player's per-minute statistical accomplishments into a single number. The league average is set at 15.00. ## Formula Overview PER accounts for positive accomplishments (points, rebounds, assists, steals, blocks) and negative ones (missed shots, turnovers, fouls), adjusted for pace and normalized across the league. ## Simplified Worked Example Let's calculate a basic version for a player with these stats in 30 minutes: - 20 points, 8 rebounds, 4 assists, 2 steals, 1 block - 8-15 FG, 2-5 3PT, 2-2 FT, 2 turnovers **Step 1:** Calculate positive contributions - Scoring: 20 pts - Rebounds: 8 - Assists: 4 - Steals + Blocks: 3 **Step 2:** Calculate negative contributions - Missed FG: 7 - Missed FT: 0 - Turnovers: 2 **Step 3:** Simplified calculation - Raw score = 20 + 8 + 4 + 3 - 7 - 2 = **26** - Per minute = 26 ÷ 30 = **0.867** - Scaled to league average (×15) ≈ **~26 PER** This would indicate excellent performance (well above the 15.00 average). Elite players typically have PERs around 25-30+. *Note: The actual PER formula is more complex, including pace adjustments and team factors.*
18 tokens in · 409 tokens out · 10458 ms · $0.0062

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
10467.1 ms
Base LLM
10458.0 ms
Verifiers
0.3 ms
Gates
0.1 ms
Cost
$0.0062

Trail

06:44:44 received prompt_chars=66 verifiers=['scripture_anchors', 'theology_doctrine']
06:44:44 red_gate decision=pass reason=no disqualifying input patterns detected
06:44:55 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=18 tokens_out=409 latency_ms=10458.0 cost_usd=0.0062
06:44:55 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:44:55 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:44:55 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:44:55 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:44:55 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:44:55 signed hash_algo=sha256 hash=sha256:475ad398fe6c105b1816a7ecfcf9016acdbf8d407b7fd6adb0a8bf5802e1cdf7

Content hash

sha256:475ad398fe6c105b1816a7ecfcf9016acdbf8d407b7fd6adb0a8bf5802e1cdf7

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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