symbolic_integrate

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

No annotations are provided, so the description must fully disclose behavioral traits. It only states 'indefinite integral' but does not mention any limitations, assumptions about input, error conditions, or side effects. The agent has no insight into potential restrictions.

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?

The description is very concise, using two sentences to convey the core purpose and an example. It is front-loaded with the integral symbol. However, the example could be more structured or placed in a standardized format, but overall it is efficient.

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 output schema and no annotations, the description should cover the return value and behavior. It does not mention that the result is the integrated expression, nor does it address potential edge cases. Given the tool's simplicity, more completeness is expected.

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?

Both parameters are documented in the input schema, so the baseline is 3. The description adds an example that illustrates parameter values ('x^2 + sin(x)', 'x') but does not provide additional semantic detail beyond what the schema already offers.

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 clearly states that the tool computes an indefinite integral, using the mathematical notation ∫f(x)dx and providing a concrete example. It distinguishes itself from sibling tools like symbolic_definite_integral.

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?

The description lacks guidance on when to use this tool versus alternatives. For example, it does not mention that this is for indefinite integrals only, nor does it exclude definite integrals, limits, or derivatives. No context for appropriate use cases.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.