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math_eval

Compute mathematical expressions with arbitrary precision, supporting complex numbers, symbolic operations, calculus, and linear algebra.

Instructions

计算数学表达式。支持任意精度浮点、复数、符号运算。

expression: 数学表达式,支持算术、三角函数、对数、指数、特殊函数(gamma/erf/zeta)、 复数(I 为虚数单位)、无穷大(oo)、矩阵字面量等。 示例: 'sqrt(2)+sqrt(3)', 'sin(pi/6)+cos(pi/3)', 'gamma(0.5)', 'integrate(x^2*sin(x), (x,0,pi))', 'Matrix([[1,2],[3,4]]).det()' precision: 数值计算精度(小数位数),默认 50。 substitutions: 变量替换,格式 'x=5,y=10'。

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
precisionNo
substitutionsNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior4/5

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

No annotations present, so description carries full burden. It outlines supported features (precision, complex numbers, symbolic computation) and gives examples, but does not mention error handling, rate limits, or edge cases. Overall good transparency for a computation tool.

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?

Description is front-loaded with purpose, but includes a block of examples that could be shortened. Still, each example adds value. Minor redundancy in listing capabilities both in prose and examples.

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?

Given complexity (supports arbitrary precision, complex numbers, symbolic ops, many functions) and no annotations, description covers features, parameter details, and usage examples fully. Output schema exists but not needed for completeness.

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

Parameters5/5

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

Schema has 0% description coverage, but description explains each parameter: expression format with examples, precision default of 50, substitutions format as 'x=5,y=10'. Adds significant meaning beyond the 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?

Description clearly states it evaluates mathematical expressions with specific capabilities (arbitrary precision, complex numbers, symbolic operations). It distinguishes from sibling tools like math_calculus, math_solve, etc., by focusing on direct evaluation.

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

Usage Guidelines3/5

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

Description implies use for computing mathematical expressions, but does not explicitly state when to use over alternatives like math_calculus or math_solve. No exclusions or when-not guidance provided.

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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