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IBM

MCP Math Server

by IBM

sieve_performance_analysis

Analyze and compare the execution speed of various prime number sieve algorithms to identify optimal implementations for specific computational limits.

Instructions

Compare performance of different sieve algorithms. (Domain: arithmetic, Category: sieve_algorithms)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
limitYes
Behavior1/5

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. The description only states what the tool does ('Compare performance') without detailing how it behaves—e.g., whether it runs algorithms, outputs metrics, requires computational resources, or has side effects. This is inadequate for a tool with potential performance implications.

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 in a single sentence, with no wasted words. However, it could be more structured by including key details like parameters or usage context, but it efficiently states the core purpose without redundancy.

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 complexity of comparing sieve algorithms, the description is incomplete. No annotations, output schema, or detailed parameter info are provided. The description lacks essential context such as what 'performance' includes, output format, or behavioral traits, making it insufficient for effective tool use.

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

Parameters2/5

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

The input schema has one parameter 'limit' with 0% description coverage. The description does not mention parameters at all, failing to explain what 'limit' means (e.g., upper bound for sieve analysis, number of iterations). With low schema coverage, the description does not compensate, leaving the parameter undocumented.

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

Purpose3/5

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

The description states the tool 'Compare performance of different sieve algorithms' which provides a clear verb ('Compare') and resource ('performance of different sieve algorithms'), but it's vague about what 'performance' entails (e.g., speed, memory usage, accuracy). It distinguishes from siblings by specifying 'sieve algorithms' (Domain: arithmetic, Category: sieve_algorithms), but lacks specificity on which algorithms or metrics are compared.

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 mentions the domain and category but does not specify prerequisites, context, or exclusions. With many sibling tools available (e.g., sieve_of_eratosthenes, sieve_of_atkin), there is no indication of when this comparative analysis is preferred over individual sieve tools.

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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