Educational Integration Plan - Effort Estimation Review

Topic: internal.educational-effort-estimation

Comprehensive review verifying effort estimates for 12% → 95% educational coverage transformation. Analyzes actual code complexity to validate 100-120 hour estimate with phase-by-phase breakdown.

Educational Integration Plan - Effort Estimation Review

Reviewer Analysis Date: 2025-11-28 Codebase: MathHook CAS (mathhook-core) Scope: Verify estimates for 12% → 95% educational coverage (100-120 hours)

EXECUTIVE SUMMARY

After analyzing actual code complexity in the repository:

• Phase 1 estimates: Mostly REALISTIC (4-5 hours as stated)
• Phase 2 estimates: UNDERESTIMATED by 2-4 hours (need 17-24 instead of 15-20)
• Phase 3 estimates: REALISTIC overall (40-50 hours), but uneven distribution
• Phase 4 estimates: REALISTIC (35-45 hours)
• Grand Total: REALISTIC (100-120 hours is accurate target, but with adjustments noted)

GRAND TOTAL ESTIMATE

DETAILED FINDINGS BY ESTIMATE TYPE

REALISTIC ESTIMATES (No adjustment needed)

1. ✅ Task 1.1 (Export DerivativeWithSteps - 5 min)
2. ✅ Task 1.2 (Export integration functions - 5 min)
3. ✅ Task 1.3 (Export limit functions - 5 min)
4. ✅ Task 2.2 (Second-order ODE steps - 3-4 hours)
5. ✅ Task 2.4 (Export functions - 1-2 hours)
6. ✅ Task 3.1 (Matrix module - 15-20 hours)
7. ✅ Task 3.2 (Factorization steps - 8-10 hours)
8. ✅ Task 3.3 (Series explanations - 6-8 hours)
9. ✅ Task 3.4 (ODE types - 8-10 hours)
10. ✅ Task 4.1 (Unify traits - 8-10 hours)
11. ✅ Task 4.2 (Framework - 10-15 hours)

UNDERESTIMATED (Needs adjustment)

1. ⚠️ Task 1.4 (simplify_with_steps wrapper)

   • Original: 30-60 min
   • Actual: 2-3 hours
   • Reason: Multi-pass simplification system with 454-line zero detection module

2. ⚠️ Task 2.1 (integrate_with_steps)

   • Original: 4-6 hours
   • Actual: 6-8 hours
   • Reason: 4,656 lines of integration code across 15 files; 6+ strategies

3. ⚠️ Task 2.3 (Simplification step tracing)

   • Original: 6-8 hours
   • Actual: 10-12 hours
   • Reason: Complex instrumentation of multi-pass system

4. ⚠️ Task 4.3 (Testing & documentation)

   • Original: 15-20 hours
   • Actual: 20-25 hours
   • Reason: Testing 95+ operations comprehensively

COVERAGE CALCULATION VALIDATION

Current State:

• 127 mathematical operations audited
• 15 (12%) with educational support
• 103 (81%) with zero support
• 9 (7%) with partial support

To reach 95% coverage: Need 95 total operations with steps Operations to add: 95 - 15 = 80 operations

Time per operation: 100-120 hours ÷ 80 operations = 1.25-1.5 hours/operation average

Breakdown by complexity:

• Trivial (10 ops × 0.25 hrs): 2.5 hours
• Simple (20 ops × 0.75 hrs): 15 hours
• Moderate (30 ops × 1.5 hrs): 45 hours
• Complex (20 ops × 2.5 hrs): 50 hours
• Total: 112.5 hours

Verdict: ✅ The 100-120 hour estimate is REALISTIC

Examples

API Reference

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

See Also

• internal.educational-plan

• internal.complexity-findings