MCP Math Server

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 states the tool computes coefficients for 'smooth interpolation', hinting at output behavior, but lacks details on what the coefficients represent (e.g., polynomial segments), computational constraints (e.g., input array length requirements, error handling), or output format. For a mathematical tool with no annotations, this is insufficient.

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 concise and front-loaded with the core purpose. It consists of a single sentence that directly states the tool's function, with no wasted words. However, the parenthetical 'Domain: numerical, Category: interpolation' could be integrated more smoothly, but overall it is efficiently structured.

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 no annotations, no output schema, and 0% schema description coverage, the description is incomplete. It does not explain what the coefficients are used for, how they relate to interpolation, or what the output looks like. For a computational 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?

Schema description coverage is 0%, so the description must compensate. It does not mention the parameters 'x_points' and 'y_points' at all, leaving their roles (e.g., arrays of x and y coordinates) and requirements (e.g., equal length, sorted) undocumented. The description adds no parameter semantics beyond the schema, failing to address the coverage gap.

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 clearly states the tool's purpose: 'Compute cubic spline coefficients for smooth interpolation'. It specifies the verb ('compute'), resource ('cubic spline coefficients'), and domain/category context. However, it does not explicitly differentiate from its sibling 'cubic_spline_interpolate', which likely uses these coefficients, leaving some ambiguity about when to compute versus apply coefficients.

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 provides minimal usage guidance. It mentions 'Domain: numerical, Category: interpolation', which implies a context but does not specify when to use this tool versus alternatives like 'cubic_spline_interpolate' or other interpolation methods (e.g., 'linear_interpolate', 'lagrange_interpolate'). No explicit when-to-use or when-not-to-use instructions are given.

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