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Verify numeric claim (airtight)

verify_numeric
Read-onlyIdempotent

Verify a numeric identity by re-evaluating a closed-form expression at higher precision, requiring at least 20 agreeing digits.

Instructions

Airtight check that a closed-form expression equals a numeric value: independent sympy re-evaluation at higher precision, verified only on >= 20 agreeing digits. Use BEFORE asserting any numeric identity. Args: value (decimal string), closed_form (e.g. 'pi**2/6', 'zeta(3)').

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
valueYesthe value as a decimal string
closed_formYesa closed-form expression, e.g. "pi**2/6" or "zeta(3)"

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
valueNo
closed_formNo
verifiedYes
digits_agreedYes
min_digits_requiredNo
reevalNo
errorNo
noteNo
Behavior5/5

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

Annotations already indicate readOnly and idempotent. The description adds key behavioral details: independent sympy re-evaluation, higher precision, 20-digit threshold, and 'airtight' nature. No contradiction.

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?

Two concise sentences plus an Args line, all front-loaded. No redundancy, every sentence adds value.

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?

Output schema exists, so return values need no explanation. Description covers purpose, method, prerequisites, and usage context. Complete for a numeric verification tool.

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 coverage is 100% with descriptions for both parameters. The description adds examples for closed_form and clarifies value as decimal string, enhancing understanding beyond schema.

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

Purpose5/5

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

The description clearly states the verb 'verify' and the resource 'numeric claim', with precise method (sympy re-evaluation, >=20 digits). It distinguishes from siblings like 'verify_formal' and 'identify_constant' by focusing on numeric identity.

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

Usage Guidelines4/5

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

Explicitly says 'Use BEFORE asserting any numeric identity', providing clear when-to-use guidance. However, no mention of when not to use or alternatives, but the context is sufficient.

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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