Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
The description is complete for a simple counting tool, covering purpose, the tokenizer reporting, and the approximation caveat. It omits the 64kb text limit, but that is captured in the schema, and there is no output schema to specify. The only minor gap is not stating the output format explicitly, but it implies the token count is returned.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.