math_statistics_calculator

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

No annotations provided; description omits behavioral traits like read-only nature, error handling, or performance. Only states it's 'free online', leaving the agent uninformed about input constraints or side effects.

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 sentences, no redundancy, front-loaded with capabilities. Could mention parameter usage briefly, but overall efficient.

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?

No output schema; description doesn't explain return format or results structure. For a complex tool with multiple operations, it lacks crucial details for correct invocation.

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 has zero description coverage; description lists operations but does not map them to the 'operation' parameter or explain allowed values. Values parameter is implied by schema type. Adds some context but not a complete mapping.

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?

Description explicitly lists a wide range of statistics operations (descriptive stats, z-scores, correlation, regression) with specific verbs like 'calculate', clearly distinguishing it from sibling math calculators.

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?

Mentions using describe_tool for full guidance, but no explicit when-to-use or when-not-to-use details. Being the only statistics tool among siblings implies its use, but lacks direct alternatives or exclusions.

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