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Code Complexity Findings - Educational Integration Plan Review

Topic: internal.complexity-findings

Analysis of actual code complexity in MathHook repository to verify educational integration effort estimates. Identifies complexity hotspots and adjusts original time estimates.

Code Complexity Findings - Educational Integration Plan Review

Module Size Analysis

Simplification System (Most Complex for Phase 2.3)

simplify.rs                    294 lines (entry point)
advanced_simplify.rs           271 lines (rules)
algebra/zero_detection.rs      454 lines (core complexity)
─────────────────────────────────────────────
Total:                         ~1,000 lines

Complexity: VERY HIGH
- Multi-pass system (5+ simplification layers)
- 454-line zero_detection module uses polynomial algorithms
- Each pass needs independent step tracking
- Final integration challenge: Coordinating steps across passes

Integration System (Complex for Phase 2.1)

calculus/integrals/:
substitution.rs                792 lines
educational.rs                 686 lines (already has structure)
table.rs                        583 lines
rational.rs                     578 lines
basic.rs                        518 lines
strategy.rs                     446 lines
by_parts.rs                     ~400 lines (est.)
─────────────────────────────────────────────
Total:                         ~4,000 lines

Complexity: HIGH
- 6+ integration strategies with different code paths
- 88 existing test functions (high test burden)
- Each method needs consistent step output format
- Major challenge: Unifying step descriptions across methods

Matrix System (Complex but Manageable for Phase 3.1)

matrices/:
operations.rs                  8,419 lines
types.rs                        8,524 lines
eigenvalues.rs                 8,021 lines
decomposition.rs               6,590 lines
Other modules                  ~1,000 lines
─────────────────────────────────────────────
Total:                         ~32,000 lines

Complexity: VERY HIGH (code volume)
BUT: Operations themselves are well-isolated
- 44 test functions show robust implementation
- Explanation task is EDUCATIONAL (not implementation)
- Each operation is self-contained
- 15-20 hours is reasonable for explanations (not algorithms)

Examples

API Reference

  • Rust: ``
  • Python: ``
  • JavaScript: ``

See Also