prime_density_analysis

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

No annotations are provided, so the description carries the full burden. It mentions 'analyze' but does not disclose behavioral traits such as whether this is a read-only operation, if it has side effects, performance characteristics, or error handling. The description is too brief to offer meaningful insights beyond the basic action, leaving significant gaps in understanding how the tool behaves.

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 description is very concise, consisting of a single sentence followed by domain/category annotations. It is front-loaded with the main purpose and avoids unnecessary words. However, the brevity leads to under-specification, as it omits important details that would enhance usability without adding verbosity.

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?

Given the complexity of prime density analysis, the description is incomplete. There are no annotations, no output schema, and low schema coverage (0%). The description does not explain what the tool returns (e.g., density values, statistical summaries) or how to interpret results. For a mathematical tool with two parameters, more context is needed to guide effective use.

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 schema description coverage is 0%, meaning parameters 'limit' and 'interval_size' are undocumented in the schema. The description does not add any meaning to these parameters—it does not explain what they represent, their units, valid ranges, or how they interact. With two required parameters and no clarification, the description fails to compensate for the lack of schema documentation.

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 states 'Analyze prime density in intervals', which provides a verb ('analyze') and resource ('prime density in intervals'), but it's vague about what 'analyze' entails (e.g., compute, compare, visualize). It distinguishes from siblings by specifying the domain and category, but this is minimal differentiation. The purpose is clear enough to understand the general function but lacks specificity.

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?

The description includes domain and category annotations ('Domain: arithmetic, Category: prime_analysis'), which imply usage in arithmetic contexts for prime analysis, but it provides no explicit guidance on when to use this tool versus alternatives like 'density_analysis' or 'prime_gaps_analysis' among the siblings. There are no instructions on prerequisites, constraints, or comparisons to other tools.

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