sympy_polylog
Compute the polylogarithm Li_s(z) symbolically by specifying the order s and argument z.
Instructions
Polylogarithm.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| s | Yes | ||
| z | Yes |
Output Schema
| Name | Required | Description | Default |
|---|---|---|---|
| result | Yes |
Compute the polylogarithm Li_s(z) symbolically by specifying the order s and argument z.
Polylogarithm.
| Name | Required | Description | Default |
|---|---|---|---|
| s | Yes | ||
| z | Yes |
| Name | Required | Description | Default |
|---|---|---|---|
| result | Yes |
Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
No annotations exist, and the description fails to disclose any behavioral traits such as whether the tool performs symbolic computation or numeric evaluation, or if it has side effects.
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?
While the description is extremely short, it sacrifices all utility. Effective conciseness requires conveying essential information, which is absent here.
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?
Given the lack of annotations and parameter descriptions, a one-word description is wholly insufficient. The tool is a mathematical function with two parameters; even a brief explanation of the function and parameter roles is needed.
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 input schema has no descriptions for the two required parameters 's' and 'z'. The description does not explain their meaning (e.g., order and argument of the polylogarithm), making correct invocation difficult.
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?
The description is just 'Polylogarithm.', which repeats the tool name. It does not specify whether the tool evaluates, simplifies, or represents the polylog function, leaving the action ambiguous.
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?
No guidance is provided on when to use this tool versus alternatives like 'sympy_log' or 'sympy_zeta'. No usage context is given.
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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