The Mechanism · Gated-generation receipt

gen-explain-a-balanced-tree-rotation-as-you-would-to-a-capable-s-eae0

stable pending witness
2026-05-29 04:08:40 UTC · anthropic/claude-sonnet-4-5

Prompt

Explain a balanced tree rotation as you would to a capable student, in 3-4 sentences.
85 chars

Generation

A tree rotation is a local restructuring operation that changes the parent-child relationships between a few nodes while preserving the binary search tree property (left < parent < right). Think of it like a hinge: in a right rotation, the left child becomes the new parent, the old parent becomes its right child, and the left child's right subtree gets "passed up" to become the old parent's new left subtree. The mirror operation is a left rotation. These rotations allow self-balancing trees like AVL or Red-Black trees to maintain a balanced height, ensuring O(log n) operations even after insertions or deletions that would otherwise create a lopsided tree.
29 tokens in · 146 tokens out · 5451 ms · $0.0023

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
5458.5 ms
Base LLM
5451.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0023

Trail

04:08:40 received prompt_chars=85 verifiers=['scripture_anchors', 'theology_doctrine']
04:08:40 red_gate decision=pass reason=no disqualifying input patterns detected
04:08:46 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=146 latency_ms=5451.3 cost_usd=0.0023
04:08:46 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
04:08:46 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
04:08:46 floor_gate decision=pass reason=output above protective minimum; no mismatches
04:08:46 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
04:08:46 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
04:08:46 signed hash_algo=sha256 hash=sha256:b1fa944d2ef88b13ecab855edcbdc148b960241ff6c0785d52830a8731cd3ee1

Content hash

sha256:b1fa944d2ef88b13ecab855edcbdc148b960241ff6c0785d52830a8731cd3ee1

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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