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Kye Gomez 1 month ago
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# Iterative Reflective Expansion (IRE) Algorithm Documentation
## Overview
The Iterative Reflective Expansion (IRE) Algorithm is a sophisticated reasoning framework that employs iterative hypothesis generation, simulation, and refinement to solve complex problems. It leverages a multi-step approach where an AI agent generates initial solution paths, evaluates their effectiveness through simulation, reflects on errors, and dynamically revises reasoning strategies. Through continuous cycles of hypothesis testing and meta-cognitive reflection, the algorithm progressively converges on optimal solutions by learning from both successful and unsuccessful reasoning attempts.
## Architecture
```
graph TD
Problem_Input["🧩 Problem Input"] --> Generate_Hypotheses
Generate_Hypotheses["Generate Initial Hypotheses"] --> Simulate
subgraph Iterative Reflective Expansion Loop
Simulate["Simulate Reasoning Paths"] --> Evaluate
Evaluate["Evaluate Outcomes"] --> Reflect{Is solution satisfactory?}
Reflect -->|No, issues found| Meta_Reflect
Reflect -->|Yes| Promising
Meta_Reflect["Meta-Cognitive Reflection"] --> Revise_Paths
Meta_Reflect --> Memory[(Reasoning Memory)]
Meta_Reflect --> Memory
Revise_Paths["Revise Paths Based on Feedback"] --> Expand_Paths
Meta_Reflect --> Revise_Path
Revise_Path["Revise Paths"] --> Expand_Paths
Expand_Paths["Iterative Expansion & Pruning"] --> Simulate
end
Promising["Promising Paths Selected"] --> Memory
Memory["Memory Integration"] --> Synthesize
Synthesize["Synthesize Final Solution"] --> Final["Final Solution ✅"]
``` 
## Workflow
1. Generate initial hypotheses

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