ScorpTech x402 Tools

Beatty

beatty

Read-onlyIdempotent

The Beatty term floor(nsqrt(d)). floor(5sqrt(2)) is 7, and floor(2*sqrt(3)) is 3. n runs from 0 to 1000000 and d runs from 1 to 1000000. Price: $0.001 USDC per successful call (x402, Solana). Same tool over HTTPS: POST https://scorptech.it.com/api/x402/v1/beatty

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>",
      "d": "<d>"
    },
    "name": "beatty"
  }
}

Input Schema

Name	Required	Description	Default
`d`	Yes
`n`	Yes

Schema Changelog

Changes observed during successful MCP inspections.

AddedOct 23, 2026

TDQS

A3.8/5.0

Behavior4/5

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

Annotations already declare read-only, idempotent, open-world, non-destructive behavior. The description adds useful operational context beyond that: cost per successful call, x402/Solana payment mechanism, and an HTTPS endpoint equivalent.

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

Conciseness5/5

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

The definition is front-loaded, followed by clarifying examples, domains, pricing, and endpoint. Every sentence is relevant and compact.

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

Completeness5/5

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

For a simple two-parameter pure computation with no output schema, the description supplies the formula, input ranges, examples, payment details, and an alternate HTTPS route. An agent has enough information to invoke it correctly.

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

Parameters4/5

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

Schema description coverage is 0%, so the description must carry parameter meaning. It does this well by showing how n and d enter the formula and giving examples, though the stated bounds duplicate the schema min/max rather than adding new semantic detail.

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 gives a precise mathematical definition, floor(n*sqrt(d)), plus concrete examples, so the operation is unambiguous. It does not explicitly distinguish this general-d version from siblings like beatty_sqrt2, which keeps it from a 5.

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?

It states the valid input domains but gives no guidance on when to choose this tool over related Beatty tools or other sequence calculators. The agent must infer usage solely from the formula and sibling names.

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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