binary_remainder_egyptian

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

No annotations are provided, so the description carries full burden. It mentions the method ('Binary remainder method') but doesn't disclose behavioral traits like what the output looks like (fraction list? string representation?), whether it handles improper fractions, error conditions, or computational characteristics. For a mathematical decomposition tool with zero annotation coverage, 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 very concise—a single sentence with domain/category annotations. It's front-loaded with the core purpose. However, it's arguably too brief given the lack of other information, bordering on under-specification rather than optimal conciseness.

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 Egyptian fraction decomposition, no annotations, no output schema, and 0% schema coverage for two parameters, the description is incomplete. It doesn't explain the algorithm's behavior, output format, or parameter semantics, leaving significant gaps for the agent to operate effectively.

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 schema provides no parameter descriptions. The description doesn't mention the parameters at all, failing to explain what 'numerator' and 'denominator' represent (e.g., positive integers, proper/improper fractions) or any constraints. With two undocumented parameters, the description adds no value beyond the bare schema.

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 the tool performs 'Binary remainder method for Egyptian fraction decomposition', which gives a general purpose (Egyptian fraction decomposition using a specific method). However, it's vague about what this method entails compared to other Egyptian fraction tools like 'egyptian_fraction_decomposition' or 'shortest_egyptian_fraction' in the sibling list. It doesn't clearly differentiate itself from these alternatives.

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?

No guidance is provided on when to use this tool versus other Egyptian fraction tools. The description only mentions the domain and category, but offers no explicit when/when-not instructions or alternatives. The agent must infer usage from the method name alone.

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