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

With no annotations, the description carries the full behavioral burden, yet 'Constant decay' discloses nothing: no input format, no units, no output shape, no error conditions. This is essentially a label, not a behavioral description.

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 words are not conciseness here but under-specification; nothing is front-loaded because nothing of substance is stated. There is no wasted sentence, but there is also no information.

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?

For a single-parameter math tool with no annotations and no output schema, the description should at least state the computation and the expected input format. It supplies neither, leaving the agent to guess what a 'decay constant' result looks like.

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 100%, so the baseline is 3 per the rubric. However, the schema's own text ('HalfLife to process') is itself tautological and gives no format or unit guidance, and the description adds nothing to compensate.

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 restates the tool name ('Decay Constant: Constant decay') without stating what the tool actually computes, what formula it applies, or what it returns. It is a tautology that leaves an agent unable to distinguish it from siblings like x402-half-life or x402-radioactive-decay.

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?

There is no when-to-use guidance, no mention of the closely related half-life and radioactive-decay tools, and no stated prerequisites. The agent must infer everything from the name alone.

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