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math-tools

Deterministic mathematical computation using SymPy. Use for ANY math operation requiring exact/verified results - basic arithmetic, algebra (simplify, expand, factor, solve equations), calculus (derivatives, integrals, limits, series), linear algebra (matrices, determinants, eigenvalues), trigonometry, number theory (primes, GCD/LCM, factorization), and statistics. Ensures mathematical accuracy by using symbolic computation rather than LLM estimation.

76

Quality

94%

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SKILL.md
Quality
Evals
Security

Quality

Content

92%Weight 40%Scale 1-5

Reviews the quality of instructions and guidance provided to agents. Good implementation is clear, handles edge cases, and produces reliable results.

A well-organized, highly actionable body that relies on copy-paste-ready executable examples and properly splits the full API into a single clearly-linked reference file. The only minor issue is mild redundancy between the opening/When-to-Use sections and the frontmatter description.

Suggestions

Trim or collapse the 'When to Use' bullet list since it duplicates the trigger enumeration already present in the frontmatter description.

Remove the redundant opening sentence 'Deterministic mathematical computation engine using SymPy...' which repeats the description verbatim.

DimensionReasoningScore

Conciseness

The body is mostly lean executable examples with inline expected outputs and no concept explanations, but the opening line and the 'When to Use' list largely duplicate the frontmatter description and could be trimmed.

4 / 5

Actionability

Nearly the entire body is copy-paste-ready `python scripts/math_calculator.py <op> <args>` commands with expected outputs shown as comments, covering the common cases for every operation category.

5 / 5

Workflow Clarity

This is a single-task skill whose single action (run the calculator script) is unambiguous and shown in Quick Start; the destructive/batch validation cap does not apply to a non-destructive read-only calculator.

5 / 5

Progressive Disclosure

The body offers a clear overview with common examples inline and offloads the complete documentation to a well-signaled, verified one-level-deep reference (references/api_reference.md), with the executable in scripts/math_calculator.py.

5 / 5

Total

19

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20

Passed

Description

96%Weight 40%Scale 1-5

Based on the skill's description, can an agent find and select it at the right time? Clear, specific descriptions lead to better discovery.

A strong, specific, and complete description that clearly answers both what the skill does and when to use it with comprehensive natural trigger terms. Its only weakness is the breadth of 'ANY math operation', which slightly raises overlap risk with adjacent skills.

DimensionReasoningScore

Specificity

The description enumerates many concrete actions across arithmetic, algebra (simplify, expand, factor, solve), calculus (derivatives, integrals, limits, series), linear algebra, number theory, and statistics, giving comprehensive coverage of specific capabilities.

5 / 5

Completeness

It clearly states what the skill does ('Deterministic mathematical computation using SymPy', 'symbolic computation rather than LLM estimation') and explicitly when to use it via the 'Use for ANY math operation requiring exact/verified results' trigger with concrete phrases.

5 / 5

Trigger Term Quality

It comprehensively covers natural math terms users would say (arithmetic, algebra, calculus, derivatives, integrals, matrices, eigenvalues, primes, GCD/LCM, factorization, statistics) plus the broad trigger 'ANY math operation'.

5 / 5

Distinctiveness Conflict Risk

The 'symbolic computation rather than LLM estimation' framing carves a clear niche, but the broad 'ANY math operation' enumeration including statistics invites minor overlap with a dedicated statistics or numerical-computing skill.

4 / 5

Total

19

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20

Passed

Validation

100%

Checks the skill against the spec for correct structure and formatting. All validation checks must pass before discovery and implementation can be scored.

Validation16 / 16 Passed

Validation for skill structure

No warnings or errors.

Repository
foryourhealth111-pixel/Vibe-Skills
Reviewed

Table of Contents

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