Module math_engine 

Mathematical engine for memory consolidation and recall probability calculations.

This module implements the exact formulas for memory consolidation based on cognitive science research, including the forgetting curve and consolidation strength updates. All calculations are optimized for performance with batch processing capabilities and strict mathematical accuracy requirements.

Formulas Implemented

Forgetting Curve

p(t) = [1 - exp(-r * e^(-t/gn))] / (1 - e^(-1))

Where:

• p(t) = recall probability at time t
• r = decay rate (based on access patterns)
• t = time since last access (normalized)
• gn = consolidation strength

Consolidation Strength Update

gn = gn-1 + (1 - e^(-t)) / (1 + e^(-t))

Where:

• gn = new consolidation strength
• gn-1 = previous consolidation strength
• t = recall interval (hours)

Performance Requirements

• <10ms per memory calculation
• Mathematical accuracy within 0.001 tolerance
• Batch processing for multiple memories
• Edge case handling for new/never-accessed memories

Modules

benchmarks

Performance benchmarking utilities

constants

Mathematical constants and default values

Structs

BatchProcessingResult

Result of batch processing operation

ConsolidationUpdateResult

Result of consolidation strength update

MathEngine

Main mathematical engine for memory consolidation calculations

MathEngineConfig

Configuration for mathematical calculations

MemoryParameters

Memory parameters for mathematical calculations

RecallCalculationResult

Result of recall probability calculation

Enums

MathEngineError

Errors that can occur during mathematical calculations

Type Aliases

Result