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

With no annotations, the description carries the full burden. It does disclose that base defaults to 10 and is optional, which is useful, but it omits behavior for invalid inputs (e.g., non-positive value, base 1), output form, and precision. The agent is left to infer most edge-case behavior.

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?

Two short sentences lead with the verb and resource, and the second sentence directly states the input requirement and default. No filler or repetition.

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 tool with no output schema and no annotations, the description must explain enough to call it correctly. It fails because the schema has no properties while the description asks for value and base, and edge cases are unaddressed. An agent cannot reliably construct a valid call from this definition.

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?

The input schema declares zero properties, so the description is the only source of parameter meaning. It identifies two conceptual inputs ('value' and optional 'base') and the default base, but gives no parameter names, types, or ordering, leaving invocation ambiguous given the empty schema.

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 exact operation ('Calculate the logarithm of a value with a specified base') and includes the default base, which clearly identifies this as a logarithm calculator. It is distinguishable from the many sibling math/finance tools by its explicit resource, though it does not explicitly contrast itself with any sibling.

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?

There is no guidance on when to select this tool instead of related math tools, nor any mention of alternatives such as log-returns, natural logs, or base conversion. The description only states how to frame the calculation, not when it should be used.

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