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E Cf Prefix

e_cf_prefix
Read-onlyIdempotent

The partial quotients of e from index 0 through n, comma-separated. Through 0 it is "2". Through 5 it is "2,1,2,1,1,4". Through 8 it is "2,1,2,1,1,4,1,1,6". n runs from 0 to 40. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/e-cf-prefix

Tool call template

Replace each placeholder with a value matching the input schema. Only required parameters are included; add optional parameters as needed.

{
  "id": 1,
  "jsonrpc": "2.0",
  "method": "tools/call",
  "params": {
    "arguments": {
      "n": "<n>"
    },
    "name": "e_cf_prefix"
  }
}

Input Schema

NameRequiredDescriptionDefault
nYes

Schema Changelog

Changes observed during successful MCP inspections.

  1. Added

TDQS

A3.5/5.0
Behavior4/5

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

Annotations already declare readOnlyHint, idempotentHint, openWorldHint, and destructiveHint=false, so the safety profile is covered. The description adds useful behavioral context beyond annotations: the per-call price ($0.001 USDC via x402 on Solana), the HTTPS endpoint equivalent, and concrete return-format examples. It does not cover error behavior, but it meaningfully supplements the structured fields.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is front-loaded with the purpose and examples, then appends range, pricing, and endpoint details. Every sentence adds value, though the three example clauses are slightly repetitive and could be compressed. Overall it is efficient and well-structured.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness4/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

For a one-parameter, read-only tool with no output schema and full annotation coverage, the description is nearly complete: it states the output format via examples, the valid n range, the cost, and an alternate endpoint. Only minor gaps remain, such as error behavior, which is not essential here.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema description coverage is 0%; the schema only declares n as an integer with min 0 and max 40. The description compensates partially by stating 'n runs from 0 to 40' and showing output examples through 0, 5, and 8. It does not fully explain indexing semantics beyond the examples, so it is adequate but not rich.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states a specific resource and scope: 'the partial quotients of e from index 0 through n, comma-separated.' It gives concrete output examples for n=0,5,8. It does not reference any sibling tools, but the purpose is clear enough to distinguish it from a generic math tool.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No when-to-use or when-not-to-use guidance is provided. It does not mention alternatives like e_cf_term (single term) or e_cf_sum, so an agent must infer when this prefix tool is preferable. Only the n range and examples are given, which are not usage guidance.

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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