The Mechanism · Gated-generation receipt

gen-what-is-the-significance-of-a-balanced-tree-rotation-answer-3ad3

stable pending witness
2026-05-29 06:48:10 UTC · anthropic/claude-sonnet-4-5

Prompt

What is the significance of a balanced tree rotation? Answer concisely in 2-3 sentences.
88 chars

Generation

A balanced tree rotation is a fundamental operation that maintains the height balance of a binary search tree (like AVL or Red-Black trees) after insertions or deletions. By restructuring the tree through rotations, it ensures the height remains logarithmic relative to the number of nodes, guaranteeing O(log n) time complexity for search, insert, and delete operations. Without rotations, the tree could degenerate into a linear structure with O(n) worst-case performance.
29 tokens in · 105 tokens out · 3251 ms · $0.0017

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
3257.5 ms
Base LLM
3250.9 ms
Verifiers
0.1 ms
Gates
0.0 ms
Cost
$0.0017

Trail

06:48:10 received prompt_chars=88 verifiers=['scripture_anchors', 'theology_doctrine']
06:48:10 red_gate decision=pass reason=no disqualifying input patterns detected
06:48:13 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=29 tokens_out=105 latency_ms=3250.9 cost_usd=0.0017
06:48:13 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
06:48:13 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
06:48:13 floor_gate decision=pass reason=output above protective minimum; no mismatches
06:48:13 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
06:48:13 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
06:48:13 signed hash_algo=sha256 hash=sha256:564a75499b52d22a7dee3938412a70cab02c68a9e96b71f45c87b821da48abf7

Content hash

sha256:564a75499b52d22a7dee3938412a70cab02c68a9e96b71f45c87b821da48abf7

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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