Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
Given the tool's simplicity (0 parameters, no output schema), the description is nearly complete. It covers purpose, usage context, and behavioral constraints. The only minor gap is lack of explicit mention of what the health check actually verifies or what format the return takes, but for such a simple tool, this is acceptable.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.