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IBM

MCP Math Server

by IBM

powers_of_two

Calculate the first n powers of two for arithmetic sequences and mathematical computations.

Instructions

Generate the first n powers of two. (Domain: arithmetic, Category: basic_sequences)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYes
Behavior2/5

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

No annotations are provided, so the description carries the full burden of behavioral disclosure. It states the tool generates a sequence but does not specify output format (e.g., list, array), handling of edge cases (e.g., negative or zero n), performance considerations, or error behavior. For a tool with no annotation coverage, this is a significant gap in transparency.

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

Conciseness4/5

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

The description is concise and front-loaded, with a single sentence that directly states the tool's purpose. The domain and category tags are efficiently appended. There is no wasted verbiage, making it easy to parse, though it could benefit from slightly more detail without sacrificing brevity.

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

Completeness2/5

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

Given the lack of annotations, output schema, and low schema description coverage, the description is incomplete. It does not address behavioral aspects like output format, error handling, or usage constraints. For a tool with one parameter but no structured context, the description should provide more operational guidance to be fully helpful.

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

Parameters3/5

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

The input schema has 0% description coverage, with a single parameter 'n' of type integer. The description adds minimal semantics by implying 'n' represents the count of powers to generate ('the first n powers'), but does not clarify valid ranges, units, or examples. Since schema coverage is low, the description partially compensates but remains inadequate for full parameter understanding.

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

Purpose4/5

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

The description clearly states the tool's purpose: 'Generate the first n powers of two.' It specifies the verb ('generate') and resource ('powers of two'), and the domain/category tags provide additional context. However, it does not explicitly differentiate from sibling tools like 'nth_power_of_two' or 'is_power_of_two', which reduces clarity in distinguishing its specific use case.

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

Usage Guidelines2/5

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

The description provides no guidance on when to use this tool versus alternatives. It lacks any mention of prerequisites, constraints (e.g., valid ranges for n), or comparisons to sibling tools such as 'nth_power_of_two' (which might return a single power) or 'is_power_of_two' (which checks a property). This omission leaves the agent without context for tool selection.

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

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