The Mechanism · Gated-generation receipt

gen-briefly-explain-depth-first-versus-breadth-first-search-and-204d

stable pending witness
2026-05-29 08:37:58 UTC · anthropic/claude-sonnet-4-5

Prompt

Briefly explain depth-first versus breadth-first search and one common misconception about it.
94 chars

Generation

# Depth-First vs Breadth-First Search **Depth-First Search (DFS)** explores as far as possible down one branch before backtracking. It uses a stack (or recursion) and goes deep into the graph/tree before exploring siblings. **Breadth-First Search (BFS)** explores all neighbors at the current level before moving deeper. It uses a queue and systematically expands outward layer by layer. ## Common Misconception **"DFS is always faster/more efficient than BFS (or vice versa)"** In reality, neither is universally better. The choice depends on your problem: - **BFS** is better for finding shortest paths in unweighted graphs and when the solution is likely near the root - **DFS** uses less memory and is better when solutions are deep or you need to explore all paths Both have O(V+E) time complexity for graphs, but their memory usage and practical performance vary significantly based on the structure of your data and what you're searching for.
27 tokens in · 230 tokens out · 6015 ms · $0.0035

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
6021.4 ms
Base LLM
6015.3 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0035

Trail

08:37:58 received prompt_chars=94 verifiers=['scripture_anchors', 'theology_doctrine']
08:37:58 red_gate decision=pass reason=no disqualifying input patterns detected
08:38:04 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=27 tokens_out=230 latency_ms=6015.3 cost_usd=0.0035
08:38:04 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
08:38:04 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
08:38:04 floor_gate decision=pass reason=output above protective minimum; no mismatches
08:38:04 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
08:38:04 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
08:38:04 signed hash_algo=sha256 hash=sha256:c424313dcaa6d6e1d8203ce704e06153e7fb2328ce0c8eeb6ad7a034620fe4ee

Content hash

sha256:c424313dcaa6d6e1d8203ce704e06153e7fb2328ce0c8eeb6ad7a034620fe4ee

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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