get_math_config_full

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

No annotations are provided, so the description carries the full burden. It does disclose that the operation is a read ('Read back'), that it is comprehensive, and that numeric replies are type-converted to ints/floats — useful context. It does not address invalid index handling, permissions, or error behavior, leaving notable gaps for an annotation-free tool.

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?

Front-loaded with the core purpose in the first sentence, then a structured enumeration of what is included. The long parameter list is informative rather than padding, though it borders on verbose.

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?

An output schema exists, so return values need not be described, and the description thoroughly covers the scope of the read. The only real omission is the meaning/range of the index parameter, which matters since it is the sole input.

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?

The single parameter 'index' has 0% schema coverage and the description never explains it; the ':MATH<n>' notation hints at a channel selector but never states that index selects which math channel, its valid range, or the default. The description does not compensate for the coverage gap.

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?

States a specific verb (read back) and resource (math channel configuration), and explicitly positions itself against a sibling: 'get_math_config() plus every other queryable :MATH<n> parameter.' An agent can distinguish it from get_math_config and configure_math without opening any schema.

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?

The 'get_math_config() plus...' framing makes clear this is the superset/comprehensive variant, which implies when to prefer it. However, it never states the inverse condition (e.g. use the non-full variant when you only need the basic read), so the routing guidance is implied rather than explicit.

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