The Mechanism · Gated-generation receipt

gen-in-3-4-sentences-explain-player-efficiency-rating-state-any-ecd8

stable pending witness
2026-05-29 03:17:58 UTC · anthropic/claude-sonnet-4-5

Prompt

In 3-4 sentences, explain player efficiency rating. State any key formula.
74 chars

Generation

Player Efficiency Rating (PER) is a comprehensive basketball statistic developed by John Hollinger that measures a player's per-minute performance while adjusting for pace. It combines all of a player's positive accomplishments (points, rebounds, assists, steals, blocks) and subtracts negative ones (missed shots, turnovers, fouls) into a single number. The league average PER is always set to 15.00, with higher numbers indicating better performance. The basic formula structure is: **PER = (1/MP) × [3PM + (2/3)×AST + (2-factor×tm_AST/tm_FG)×FG + (FT×0.5×(1+(1-(tm_AST/tm_FG))+(2/3)×(tm_AST/tm_FG))) - VOP×TO - VOP×DRB%×(FGA-FG) - VOP×0.44×(0.44+(0.56×DRB%))×(FTA-FT) + VOP×(1-DRB%)×(TRB-ORB) + VOP×DRB%×ORB + VOP×STL + VOP×DRB%×BLK - PF×((lg_FT/lg_PF)-0.44×(lg_FTA/lg_PF)×VOP)]**, though this is then adjusted for pace and scaled to league average.
25 tokens in · 341 tokens out · 10507 ms · $0.0052

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
10514.6 ms
Base LLM
10507.4 ms
Verifiers
0.3 ms
Gates
0.0 ms
Cost
$0.0052

Trail

03:17:58 received prompt_chars=74 verifiers=['scripture_anchors', 'theology_doctrine']
03:17:58 red_gate decision=pass reason=no disqualifying input patterns detected
03:18:08 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=25 tokens_out=341 latency_ms=10507.4 cost_usd=0.0052
03:18:08 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
03:18:08 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
03:18:08 floor_gate decision=pass reason=output above protective minimum; no mismatches
03:18:08 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
03:18:08 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
03:18:08 signed hash_algo=sha256 hash=sha256:6746fe03ed12934c32377e6d7320be50d91f64f2410da0b0105fc1e463b9578f

Content hash

sha256:6746fe03ed12934c32377e6d7320be50d91f64f2410da0b0105fc1e463b9578f

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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