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Reasoning Efficiently Through Adaptive Chain-of-Thought Compression: A Self-Optimizing Framework (2509.14093v1)

Published 17 Sep 2025 in cs.SE, cs.AI, and cs.CL

Abstract: Chain-of-Thought (CoT) reasoning enhances LLMs by prompting intermediate steps, improving accuracy and robustness in arithmetic, logic, and commonsense tasks. However, this benefit comes with high computational costs: longer outputs increase latency, memory usage, and KV-cache demands. These issues are especially critical in software engineering tasks where concise and deterministic outputs are required. To investigate these trade-offs, we conduct an empirical study based on code generation benchmarks. The results reveal that longer CoT does not always help. Excessive reasoning often causes truncation, accuracy drops, and latency up to five times higher, with failed outputs consistently longer than successful ones. These findings challenge the assumption that longer reasoning is inherently better and highlight the need for adaptive CoT control. Motivated by this, we propose SEER (Self-Enhancing Efficient Reasoning), an adaptive framework that compresses CoT while preserving accuracy. SEER combines Best-of-N sampling with task-aware adaptive filtering, dynamically adjusting thresholds based on pre-inference outputs to reduce verbosity and computational overhead. We then evaluate SEER on three software engineering tasks and one math task. On average, SEER shortens CoT by 42.1%, improves accuracy by reducing truncation, and eliminates most infinite loops. These results demonstrate SEER as a practical method to make CoT-enhanced LLMs more efficient and robust, even under resource constraints.

Summary

  • The paper demonstrates that adaptive chain-of-thought compression via SEER significantly reduces reasoning lengths and improves performance.
  • It introduces a three-stage methodology—pre-inference generation, Best-of-N sampling, and adaptive filtering—to balance conciseness and correctness.
  • Experimental results show a 42.1% reduction in CoT length, decreased latency, and enhanced robustness across diverse datasets.

Reasoning Efficiently Through Adaptive Chain-of-Thought Compression: A Self-Optimizing Framework

Introduction

This paper addresses the computational inefficiency and instability introduced by verbose Chain-of-Thought (CoT) reasoning in LLMs, particularly in software engineering tasks. While CoT prompting enhances model interpretability and accuracy by eliciting explicit intermediate reasoning steps, it also incurs substantial inference latency, memory overhead, and increased risk of output truncation and infinite reasoning loops. The authors empirically demonstrate that longer CoT does not guarantee improved performance; in fact, excessive reasoning often correlates with reduced accuracy and higher truncation rates. To address these challenges, the paper introduces SEER (Self-Enhancing Efficient Reasoning), a framework for adaptive CoT compression that autonomously refines reasoning traces to balance conciseness and correctness, without reliance on external compression modules.

Empirical Analysis of CoT Length and Model Performance

The authors conduct a comprehensive empirical paper using DeepSeek-R1-Distill-Qwen models (1.5B, 7B, 14B, 32B) on HumanEval and Codeforces datasets. The analysis reveals several key findings:

  • Truncation and Reasoning Loops: Excessively long CoT outputs frequently lead to truncation, especially in smaller models, resulting in significant accuracy degradation. Reasoning loops—repetitive output fragments—are the dominant cause of truncation, wasting context and computational resources.
  • CoT Length vs. Accuracy: Contrary to prior assumptions, longer CoT chains are associated with failed outputs, while successful generations tend to have shorter reasoning traces. Figure 1

    Figure 1: Distribution of CoT lengths for passed and failed cases across DeepSeek-R1-Distill-Qwen models (7B, 14B, and 32B) on HumanEval/129. Successful outputs do not require longer CoT; excessive length correlates with failure.

  • Latency Overhead: CoT reasoning substantially increases inference latency, with larger models and more complex tasks (e.g., Codeforces) experiencing up to 5x slower response times. Figure 2

    Figure 2: Inference latency of different model sizes on HumanEval and Codeforces datasets with and without CoT reasoning. CoT increases latency, especially for larger models and complex tasks.

These findings motivate the need for adaptive control over CoT length to preserve efficiency and reliability in real-world deployments.

SEER Framework: Architecture and Implementation

SEER is designed as a self-enhancing, autonomous framework for CoT compression, comprising three main stages:

  1. Pre-Inference Generation: The base model generates multiple CoT-augmented candidate responses for each input, using either dataset-specific or general-purpose prompts. Sufficient token budgets are allocated to capture the natural distribution of reasoning lengths.
  2. Best-of-N (BoN) Sampling: For each input, N candidate responses are generated. Candidates are filtered hierarchically: (a) correctness of the final answer, (b) presence of a valid CoT, and (c) minimal CoT length. The shortest correct reasoning trace is selected, suppressing reasoning loops and promoting conciseness.
  3. Adaptive CoT Filtering: A dataset-specific maximum CoT length λc\lambda_c is computed as the mean-median average of observed CoT lengths. Responses exceeding λc\lambda_c are discarded, balancing compression against risk of information loss. Figure 3

    Figure 3: Overview of the SEER framework, illustrating the self-enhancing procedure of generation, selection, and adaptive filtering.

The final fine-tuning stage uses the curated, concise dataset to update the model parameters, internalizing efficient reasoning patterns.

Experimental Results

CoT Compression and Accuracy

SEER is evaluated on MathQA-Python, CodeXGLUE-Defect-Detection, Code-Search-WebQuery, and GSM-8K. Compared to baselines (Self-Training, TokenSkip, Naive BoN), SEER achieves:

  • Average CoT length reduction of 42.1% across tasks.
  • No loss in accuracy; in some cases, accuracy improves due to reduced truncation and loop suppression.
  • Superior robustness in software engineering tasks, where other compression methods (e.g., TokenSkip) often corrupt code logic or fail to execute.

Ablation Studies

Ablation experiments confirm that:

  • Adaptive filtering is the primary driver of efficiency and accuracy.
  • BoN sampling provides complementary benefits, enhancing robustness and further reducing reasoning loops.
  • Overly aggressive filtering can harm accuracy, but the mean-median adaptive threshold achieves optimal trade-off.

Cross-Domain Generalization

SEER fine-tuned on one domain (e.g., code generation) generalizes well to other domains (e.g., mathematical reasoning), maintaining concise reasoning and competitive accuracy without retraining. Figure 4

Figure 4: Performance of SEER fine-tuned on different datasets when evaluated on HumanEval. Coding-related datasets yield best generalization with shorter CoT lengths; non-coding datasets still provide moderate improvements.

Loop Mitigation

SEER suppresses infinite reasoning loops by up to 97.7%, substantially reducing truncation rates and improving output stability.

Implementation Considerations

  • Computational Requirements: SEER is compatible with both full-parameter SFT and parameter-efficient fine-tuning (e.g., LoRA), enabling deployment in resource-constrained environments.
  • Prompt Agnosticism: The framework is robust to prompt format, as adaptive filtering and BoN sampling mitigate prompt sensitivity.
  • Scalability: SEER can be integrated into existing LLM training pipelines with minimal modification, as it does not require external compression modules or complex training objectives.
  • Limitations: Evaluation is primarily on DeepSeek-R1-Distill-Qwen; future work should extend to other architectures and reasoning domains.

Theoretical and Practical Implications

The results challenge the prevailing assumption that longer CoT chains are always beneficial. Instead, they demonstrate that concise, well-controlled reasoning traces yield higher accuracy, lower latency, and improved robustness. SEER's adaptive compression mechanism provides a principled approach to balancing reasoning sufficiency and computational efficiency, with strong transferability across domains.

Practically, SEER enables CoT-enhanced LLMs to operate effectively in latency-sensitive and resource-constrained settings, such as real-time code generation, automated debugging, and mathematical problem solving. The framework's simplicity and autonomy facilitate integration into production systems without reliance on external annotation or compression tools.

Future Directions

Potential avenues for future research include:

  • Extending SEER to implicit CoT models and closed-source architectures.
  • Systematic evaluation across additional reasoning domains (e.g., commonsense, legal, scientific).
  • Stratified analysis by task complexity to refine adaptive filtering strategies.
  • Integration into latency-critical applications and real-world developer workflows.

Conclusion

This work provides a rigorous analysis of the inefficiency and instability introduced by verbose CoT reasoning in LLMs, particularly in software engineering contexts. The SEER framework offers an effective, autonomous solution for adaptive CoT compression, achieving substantial reductions in reasoning length while preserving or improving accuracy and robustness. Theoretical and empirical results underscore the importance of controlled reasoning length, challenging the notion that "more thinking" is always better. SEER represents a practical advancement for efficient, reliable deployment of CoT-enhanced LLMs in diverse real-world applications.

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Explain it Like I'm 14

Plain‑Language Summary of the Paper

What is this paper about?

This paper looks at how AI models “think out loud” when solving problems and how to make that thinking shorter, faster, and still correct. The “thinking out loud” part is called Chain‑of‑Thought (CoT). It’s like when your teacher says “show your work” in math: you write the steps, not just the final answer.

The problem: writing out lots of steps takes time and computer memory. The paper shows that longer explanations are not always better and can even hurt results. Then it introduces a new method, called SEER, to keep the reasoning short and clear without losing accuracy.

What questions did the researchers ask?

The paper focuses on four simple questions:

  • Does making the AI write longer explanations actually help it get more answers right?
  • How much do long explanations slow things down or make the AI run out of space (so its answer gets cut off)?
  • Can we teach the AI to explain itself more briefly while staying correct?
  • Will this work across different tasks, especially in coding, and stop bad habits like getting stuck repeating itself?

How did they paper it? (In everyday terms)

They ran tests on problems where AIs write code, find bugs, search for matching code, and solve math word problems. Think of:

  • HumanEval and Codeforces for coding challenges,
  • Datasets for bug detection and code search,
  • GSM‑8K for math reasoning.

They measured:

  • Accuracy (did the AI get it right on the first try?),
  • How many “tokens” it used (tokens are like chunks of words—longer explanations mean more tokens),
  • Speed and whether the AI hit its “character limit” and got cut off (called truncation),
  • Looping (when the AI gets stuck repeating itself, like “Wait, if… Wait, if…” over and over).

Then they introduced SEER, a new training method that teaches the AI to explain just enough:

  • Best‑of‑N sampling: Ask the AI to write several solutions, keep only the correct one with the shortest clear explanation. Think of writing three drafts and saving the shortest correct one.
  • Adaptive filtering: Set a smart length limit based on real examples. It looks at the usual length of explanations in a dataset and sets a fair cutoff so the AI doesn’t ramble but also doesn’t leave out important steps.

Importantly, SEER doesn’t need extra tools to compress text. The model learns to be concise by training on its own best, shortest correct answers.

What did they find, and why does it matter?

Key findings:

  • Longer isn’t always better. Failed answers often had longer explanations than successful ones. Overthinking adds noise.
  • Long reasoning can get the AI cut off. On smaller models, accuracy dropped a lot when the AI ran out of space mid‑answer (for one small model, pass@1 fell from about 60% to 46% with long CoT).
  • Long explanations are slow. On a tough coding set, the biggest model took almost 5 times longer with long CoT than without. That’s bad for real‑time use.
  • Looping is a big problem. Many failures happened because the AI got stuck repeating itself until it hit the maximum length.

What SEER achieved:

  • On average, it shortened explanations by about 42% while keeping accuracy the same or even improving it (because fewer answers got cut off).
  • It greatly reduced infinite loops (by up to about 98% in some tests).
  • It worked across coding tasks and also on math reasoning, even though it was tuned on code first.
  • Compared to other “compression” methods that sometimes broke code or damaged logic, SEER stayed stable and reliable.

Why this matters:

  • Faster, cheaper, and more reliable AI tools for developers and students.
  • Less waiting for answers and fewer crashes due to running out of space.
  • Better behavior under limited resources (like smaller computers or strict time limits).

What could this change in the real world?

  • Coding assistants that “explain just enough” can respond quicker and fit on smaller devices, helping more people use them effectively.
  • Teams can avoid the myth that “more thinking text is always better.” Instead, they can aim for the right amount of reasoning.
  • The SEER approach—try multiple answers, keep the shortest correct one, and learn from it—could be applied to many reasoning tasks, not just code.

In short: The paper shows that smart, shorter explanations can be just as accurate (or better), much faster, and more dependable. SEER gives AI a way to teach itself to be concise without losing the logic that makes explanations helpful.

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Knowledge Gaps

Knowledge gaps, limitations, and open questions

Below is a concise list of concrete gaps the paper leaves unresolved that future work could address:

  • Limited domain coverage: evaluation focuses on three software engineering tasks and one math dataset (GSM-8K); no assessment on broader reasoning domains (e.g., commonsense QA, multi-hop factual QA, planning/tool-use, scientific QA, instruction following), multilingual settings, or multimodal reasoning.
  • Single model family: experiments center on DeepSeek-R1-Distill-Qwen variants; no cross-architecture validation (e.g., Llama/Mistral/Mixtral, Phi, Qwen non-R1, GPT-4o/Claude) to test generality of findings and the method’s portability.
  • Fine-tuning scope: SEER is fine-tuned and evaluated primarily on a 7B model; no analysis of scaling behavior across sizes (1.5B–70B+), nor PEFT variants (LoRA/QLoRA) despite claiming compatibility.
  • Dataset-level thresholding only: the adaptive CoT filter sets a single dataset-specific threshold λc; per-instance adaptivity (predicting instance-specific budget based on difficulty/uncertainty) is not explored.
  • Unjustified threshold heuristic: λada is defined heuristically as an average of mean and median CoT lengths (the paper’s formula is malformed), with no theoretical grounding, sensitivity analysis, or comparison to alternatives (e.g., percentile-based caps, robust statistics, learned policies, cost/latency-aware objectives).
  • No ablation of N in Best-of-N: BoN uses a fixed N=3; the paper (truncated) does not report sensitivity of accuracy/compression/compute cost to N, nor diminishing returns or optimal N under different domains.
  • Pre-inference cost not quantified: the end-to-end compute/time/cost of generating multiple candidates per example for BoN and pre-inference profiling is not measured; net efficiency gains may be offset by data generation overhead.
  • Reliance on correctness oracles: BoN selection assumes access to reliable verifiers (unit tests or exact-match answers). The approach is not instantiated for tasks without robust oracles or with many valid outputs (e.g., open-ended generation, refactoring, code review).
  • Risk of shortcut learning: selecting the “shortest correct” rationale may bias the model toward spurious, shallow patterns. The paper does not measure faithfulness/causal sufficiency (e.g., counterfactual tests, consistency under perturbations) or assess whether compressed CoTs remain valid explanations.
  • Loop detection methodology under-specified: “reasoning loops” are reported as dominant truncation cause, but detection criteria/algorithms, standard metrics, and robustness across decoding settings (temperature, top-p, repetition/presence penalties) are not detailed.
  • Inference-time controls untested: the work fine-tunes to reduce loops/verbosity but does not compare against simple decoding-time baselines (stop sequences, anti-loop penalties, entropy-based early stopping, per-step confidence gating) that might achieve similar benefits with zero training.
  • Latency/memory evaluation incomplete: latency is estimated from tokens/s on a single GPU; there is no reporting of KV-cache memory, peak VRAM, throughput under batching, or serving performance with modern inference stacks (vLLM, paged KV, FlashAttention), nor cost-per-request analyses.
  • Baseline breadth: comparison omits several relevant methods (e.g., R1-Compress, GoGI-Skip/Adaptive GoGI-Skip, CoLaR, step-dropout, self-consistency with pruning, gating methods like “think selectively,” RL-for-brevity, prompt-level concision controls), and prompt-only baselines (“be concise”, “explain briefly”, “answer-then-justify”).
  • Risk of over-compression on hard instances: no difficulty-conditioned analysis (e.g., stratifying by complexity or code length) to check whether caps harm truly hard problems needing long proofs/traces; no mechanism for expanding CoT on-demand for such cases.
  • Cross-language/codebase generalization: code tasks are Python-centric; the method is not assessed on other programming languages, multi-file repositories, or realistic repository-scale contexts (e.g., RepoBench, SWE-bench, CodeContests-large).
  • Context-length dependence: results are reported under 8K (training/eval) and 16K (empirical) limits; no paper of behavior under tighter (4K) or longer (32K–1M) contexts, nor memory-limited devices or streaming scenarios.
  • Impact on interpretability and developer utility: no human/user studies on whether compressed CoTs remain readable, useful for debugging, and conducive to trust/calibration in developer workflows.
  • Statistical rigor and reproducibility: pass@1 is reported without confidence intervals, multiple seeds, or significance tests; some LaTeX/algorithm typos (e.g., malformed λ formula, brace mismatches) hinder unambiguous replication; details on released code, prompts, and data curation are missing.
  • Potential data contamination: no analysis ensuring that base models or self-generated data did not leak evaluation benchmarks (HumanEval/GSM-8K), which could inflate accuracy.
  • Catastrophic forgetting and capability drift: no assessment of broader capability retention (e.g., MMLU, BBH, coding beyond the target tasks) to check whether concision fine-tuning harms general performance.
  • Calibration and abstention: the effect of CoT compression on confidence calibration (ECE), error detection, or abstention/deferral behavior is unexamined.
  • Safety and policy compliance: no audit of whether compressed CoTs alter safety profiles (toxicity, privacy leakage, harmful instructions) or increase hallucination rates.
  • Online/interactive settings: the method is not tested in multi-turn coding assistants or iterative debugging loops where reasoning length may vary with user feedback; no paper of user satisfaction or task completion time.
  • Integration with latency budgets: λc is not tied to target latency or cost constraints; there is no controller that optimizes an explicit accuracy–latency trade-off at inference time.
  • Applicability to tasks without CoT norms: for classification/retrieval tasks (e.g., Code-Search), it remains unclear whether generating CoT is needed vs. harmful; per-task CoT-on/off gating is not explored.
  • Alternative objective formulations: beyond “shortest correct,” no exploration of information-theoretic or minimal-sufficient-rationale objectives, compression via distillation/summarization of rationales, or contrastive training against verbose/looping traces.
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