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Why LLMs Overthink Easy Puzzles but Give Up on Hard Ones

June 12, 2025
in AI & Technology
Reading Time: 4 mins read
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Why LLMs Overthink Easy Puzzles but Give Up on Hard Ones
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Artificial intelligence has made remarkable progress, with Large Language Models (LLMs) and their advanced counterparts, Large Reasoning Models (LRMs), redefining how machines process and generate human-like text. These models can write essays, answer questions, and even solve mathematical problems. However, despite their impressive abilities, these models display curious behavior: they often overcomplicate simple problems while struggling with complex ones. A recent study by Apple researchers provides valuable insights into this phenomenon. This article explores why LLMs and LRMs behave this way and what it means for the future of AI.

Understanding LLMs and LRMs

To understand why LLMs and LRMs behave this way, we first need to clarify what these models are. LLMs, such as GPT-3 or BERT, are trained on vast datasets of text to predict the next word in a sequence. This makes them excellent at tasks like text generation, translation, and summarization. However, they are not inherently designed for reasoning, which involves logical deduction or problem-solving.

LRMs are a new class of models designed to address this gap. They incorporate techniques like Chain-of-Thought (CoT) prompting, where the model generates intermediate reasoning steps before providing a final answer. For example, when solving a math problem, an LRM might break it down into steps, much like a human would. This approach improves performance on complex tasks but faces challenges when dealing with problems of varying complexity, as the Apple study reveals.

The Research Study

The Apple research team took a different approach to evaluate the reasoning capabilities of LLMs and LRMs. Instead of relying on traditional benchmarks like math or coding tests, which can be affected by data contamination (where models memorize answers), they created controlled puzzle environments. These included well-known puzzles like the Tower of Hanoi, Checker Jumping, River Crossing, and Blocks World. For example, the Tower of Hanoi involves moving disks between pegs following specific rules, with complexity increasing as more disks are added. By systematically adjusting the complexity of these puzzles while maintaining consistent logical structures, the researchers observe how models perform across a spectrum of difficulties. This method allowed them to analyze not only the final answers but also the reasoning processes, which provide a deeper look into how these models “think.”

Findings on Overthinking and Giving Up

The study identified three distinct performance regimes based on problem complexity:

  • At low complexity levels, standard LLMs often perform better than LRMs because LRMs tend to overthink, generating extra steps that are not necessary, while standard LLMs are more efficient.
  • For medium-complexity problems, LRMs show superior performance due to their ability to generate detailed reasoning traces that help them to address these challenges effectively.
  • For high-complexity problems, both LLMs and LRMs fail completely; LRMs, in particular, experience a total collapse in accuracy and reduce their reasoning effort despite the increased difficulty.

For simple puzzles, such as the Tower of Hanoi with one or two disks, standard LLMs were more efficient to provide correct answers. LRMs, however, often overthought these problems, generating lengthy reasoning traces even when the solution was straightforward. This suggests that LRMs may mimic exaggerated explanations from their training data, which could lead to inefficiency.

In moderately complex scenarios, LRMs performed better. Their ability to produce detailed reasoning steps allowed them to tackle problems that required multiple logical steps. This allows them to outperform standard LLMs, which struggled to maintain coherence.

However, for highly complex puzzles, such as the Tower of Hanoi with many disks, both models failed entirely. Surprisingly, LRMs reduced their reasoning effort as complexity increased beyond a certain point despite having enough computational resources. This “giving up” behavior indicates a fundamental limitation in their ability to scale reasoning capabilities.

Why This Happens

The overthinking of simple puzzles likely stems from how LLMs and LRMs are trained. These models learn from vast datasets that include both concise and detailed explanations. For easy problems, they may default to generating verbose reasoning traces, mimicking the lengthy examples in their training data, even when a direct answer would suffice. This behavior is not necessarily a flaw but a reflection of their training, which prioritizes reasoning over efficiency.

The failure on complex puzzles reflects the inability of LLMs and LRMs to learn to generalize logical rules. As problem complexity increases, their reliance on pattern matching breaks down, leading to inconsistent reasoning and a collapse in performance. The study found that LRMs fail to use explicit algorithms and reason inconsistently across different puzzles. This highlights that while these models can simulate reasoning, they do not truly understand the underlying logic in the way humans do.

Diverse Perspectives

This study has sparked discussion in the AI community. Some experts argue that these findings might be misinterpreted. They suggest that while LLMs and LRMs may not reason like humans, they still demonstrate effective problem-solving within certain complexity limits. They emphasize that “reasoning” in AI does not need to mirror human cognition, in order to be valuable. Similarly, discussions on platforms like Hacker News praise the study’s rigorous approach but highlight the need for further research to improve AI reasoning. These perspectives emphasize the ongoing debate about what constitutes reasoning in AI and how we should evaluate it.

Implications and Future Directions

The study’s findings have significant implications for AI development. While LRMs represent progress in mimicking human reasoning, their limitations in handling complex problems and scaling reasoning efforts suggest that current models are far from achieving generalizable reasoning. This highlights the need for new evaluation methods that focus on the quality and adaptability of reasoning processes, not just the accuracy of final answers.

Future research should aim to enhance models’ ability to execute logical steps accurately and adjust their reasoning effort based on problem complexity. Developing benchmarks that reflect real-world reasoning tasks, such as medical diagnosis or legal argumentation, could provide more meaningful insights into AI capabilities. Additionally, addressing the models’ over-reliance on pattern recognition and improving their ability to generalize logical rules will be crucial for advancing AI reasoning.

The Bottom Line

The study provides a critical analysis of the reasoning capabilities of LLMs and LRMs. It demonstrates that while these models overanalyze simple puzzles, they struggle with more complex ones, exposing both their strengths and limitations. Although they perform well in certain situations, their inability to tackle highly complex problems highlights the gap between simulated reasoning and true understanding. The study emphasizes the need to develop an AI system that can adaptively reason across various levels of complexity, enabling it to address problems with varying complexities, much like humans do.

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