Report Contents

  • 1Executive Summary & Key Findings
  • 2Theoretical Foundations: Chain-of-Thought Reasoning
  • 3Beyond Linear: Tree-of-Thoughts & Graph-Based Approaches
  • 4Test-Time Compute Scaling (Snell et al. 2025)
  • 5Process Reward Models & Verification
  • 6Frontier Model Analysis: o3, GPT-5.2, DeepSeek R1
  • 7Benchmark Deep Dive: GPQA, ARC-AGI, AIME 2025
  • 8Practical Implementation Guidance
  • 9Failure Modes & Limitations
  • 10Future Directions & Open Problems

What You'll Learn

  • How Chain-of-Thought prompting improves reasoning accuracy by 17.9pp on GSM8K
  • Why Tree-of-Thoughts outperforms CoT by 18.5x on decomposition tasks
  • Test-time compute scaling curves: when to invest in inference vs training
  • Process Reward Models vs Outcome Reward Models for verification
  • o3's 87.5% ARC-AGI breakthrough and the path to 93.2% GPQA Diamond
  • Chain-of-Draft: Achieving 92% token reduction while maintaining accuracy
  • LIMO pattern: 57% AIME accuracy with only 817 training samples
  • Critical failure modes and when structured reasoning breaks down