x402-continued-fraction
Continued Fraction: Expands a value into continued fraction terms, using value and an optional terms cap defaulting to 10 🆓 5 free trial calls per signed wallet
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| terms | No | ||
| value | No |
Continued Fraction: Expands a value into continued fraction terms, using value and an optional terms cap defaulting to 10 🆓 5 free trial calls per signed wallet
| Name | Required | Description | Default |
|---|---|---|---|
| terms | No | ||
| value | No |
Changes observed during successful MCP inspections.
Input schema / properties / terms / descriptionRemoved value: -"Terms to process"Input schema / properties / value / descriptionRemoved value: -"Value to process"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 one useful behavioral trait, the terms cap defaulting to 10, but says nothing about valid input ranges, precision, or what the expansion output looks like. For a low-risk pure computation this is acceptable but thin.
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?
One front-loaded sentence with the core behavior first, followed by parameter notes. The trailing emoji and free-trial marketing tagline are noise that does not help the agent invoke the tool.
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?
With no annotations, no output schema, and 0% schema description coverage, the description is the only documentation. It covers the purpose and one default but omits output shape and input format constraints, leaving gaps for an agent that needs to construct a valid call.
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 coverage is 0% and both parameters are bare untyped-description strings, so the description must compensate. It clarifies that 'terms' is a cap defaulting to 10 and that 'value' is the input to expand, but it never specifies accepted formats for either string (e.g. decimal vs rational input, valid terms range).
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 and resource: 'Expands a value into continued fraction terms', which is unambiguous and distinguishable from adjacent siblings like x402-egyptian-fraction or x402-decimal-to-fraction. It stops short of naming any sibling to route against, so it is clear but undifferentiated.
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 exclusion criteria, and no mention of the many nearby fraction/expansion siblings an agent could confuse this with. The only usage cue is the implicit free-trial pricing note.
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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