Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given no annotations and no output schema, the description is incomplete for a search tool. It doesn't explain what the search returns (e.g., matched entries, counts, or error handling), nor does it provide context about search behavior (e.g., case sensitivity, wildcard support). For a tool with one parameter but rich operational context needed, this is inadequate.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.