Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

With no annotations, the description carries the full behavioral burden. It usefully discloses input-validation behavior (all three fields required, separator must be ';', comma lists and floats refused) and the WIN condition, but says nothing about the returned verdict format or outcomes on non-winning input.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Is the description appropriately sized, front-loaded, and free of redundancy?

The algorithm and core formula are front-loaded, followed by separator rules, an example, and requirements; nearly every sentence carries information. It is dense and somewhat run-on but appropriately sized for the input complexity.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a 3-parameter verifier with no output schema, the description covers the input contract thoroughly, including separator format, required fields, and a full worked example. The only gap is the expected return/verdict, which is minor given no output schema exists.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100%, so the schema already documents all three parameters in detail. The description largely restates this (hidden bit string, one answer bit per query, ';' separator) rather than adding syntax or format meaning beyond the schema, so the baseline 3 applies.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Does the description clearly state what the tool does and how it differs from similar tools?

The description names the specific algorithm (Bernstein-Vazirani) and states the exact relation answers[i] = popcount(hidden AND query_i) mod 2, so an agent knows this verifies a BV submission. It is clear but does not explicitly distinguish itself from near-identical siblings like verify_deutsch_jozsa or verify_simon, leaving differentiation to the algorithm name alone.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

It gives a concrete working call and the refusal conditions (comma-separated queries are REFUSED_SHAPE, floats refused), which implies how to invoke it correctly. However, it offers no guidance on when to use this tool versus the many other verify_* siblings, nor on prerequisites or sequencing.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.