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mathguard - Selects math-heavy algorithms with explicit bounds and safeguards

Guides selection of named mathematical and approximate algorithms with explicit error, asymptotic, trade-off, and disqualifier analysis.

Tags

Updated: 2026-10-05

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Assess the classical algorithmic floor
  • Identify named mathematical techniques
  • Declare exact or approximate mode
  • Specify error parameters
  • Justify asymptotic bounds
  • State optimization trade-offs
  • Reject unsafe approximations
  • Provide code or pseudocode

Inputs

  • Problem and workload description
  • Dataset scale
  • Correctness requirements
  • Performance constraints
  • Caller error tolerance
  • Existing code or algorithm context
  • Team maintenance familiarity

Outputs

  • Algorithm selection analysis
  • Exactness and error statement
  • Asymptotic bound justification
  • Trade-off and disqualifier analysis
  • Code or pseudocode

Requirements

  • Prior lemmaly assessment that classical methods are insufficient

Source

  • Spec: SKILL.md
algorithms
probabilistic data structures
approximate algorithms
Bloom filter
HyperLogLog
FFT
performance
Assess the classical algorithmic floor
Identify named mathematical techniques
Declare exact or approximate mode
Specify error parameters
Problem and workload description
Dataset scale
Correctness requirements
Algorithm selection analysis
Exactness and error statement
Asymptotic bound justification