INQUIRING LINE

Feeding an AI more text can make it reason worse long before its memory fills up — so what's actually going wrong?

How do input length and context size separately affect reasoning quality?

This explores two kinds of "length" that are easy to blur together: how much text you put into a prompt (input length), versus how much room the model has or how much of it gets used up, including by its own reasoning (context size).


This explores two kinds of "length" that are easy to blur together: how much text you put into a prompt, versus how much room the model has and how much of it gets used, including by its own reasoning. The corpus suggests they come apart. The context window is a ceiling, and quality starts falling well before you reach it. In FLenQA, reasoning accuracy dropped from 92% to 68% with only about 3,000 tokens of padding, far below what the window can hold. The drop showed up across tasks, didn't track ordinary language-modeling performance, and survived chain-of-thought prompting (Does reasoning ability actually degrade with longer inputs?). A bigger window doesn't fix this, because the window was never the constraint.

The second kind of length is what the model writes for itself. Here the corpus shows a sweet spot rather than a steady decline. When thinking tokens went from roughly 1,100 to 16K, benchmark accuracy fell from 87.3% to 70.3%, with models overthinking easy problems and underthinking hard ones (Does more thinking time always improve reasoning accuracy?). Chain-of-thought length follows an inverted U. The best length rises with task difficulty and falls as the model gets more capable, and reinforcement learning drifts toward shorter chains on its own (Why does chain of thought accuracy eventually decline with length?). Input length hurts, and output length helps only up to a point.

The two notes above show that length matters. The next two show that it isn't the real variable. Trace length tracks difficulty only on problems near the training distribution and decouples from it entirely outside it, so a long trace mostly means the model is recalling familiar patterns (Does longer reasoning actually mean harder problems?). Reasoning failures also track how unfamiliar a specific instance is, not how long or complex the task is (Do language models fail at reasoning due to complexity or novelty?). So any length effect probably comes from what fills those tokens and how the model relates to them.

The corpus has more to say on that. Most intermediate reasoning tokens lose importance quickly. Keeping only the instruction prefix and a recent window gave a 3x speedup with no training and allowed traces beyond 100k tokens (Can models think longer by forgetting intermediate reasoning?). Atom of Thoughts goes further and rewrites the problem at each step so that each state depends only on the current problem and not on the history (Can reasoning systems forget history without losing coherence?). Both treat accumulated history as baggage. Brevity is also cheap to steer: a single activation vector cut chain-of-thought length by 67% with accuracy maintained (Can we steer reasoning toward brevity without retraining?).

The corpus doesn't isolate window capacity as its own variable, for example by giving the same input to the same model at different window sizes. What it supports is narrower. Input length degrades reasoning well below the window limit, and output length has an optimal point. Much of the token history in between is dead weight that can be dropped or compressed without hurting accuracy.


Sources 8 notes

Does reasoning ability actually degrade with longer inputs?

FLenQA shows reasoning accuracy drops from 92% to 68% at just 3000 tokens of padding, far below context window capacity. The degradation is task-agnostic, uncorrelated with language modeling performance, and persists even with chain-of-thought prompting.

Does more thinking time always improve reasoning accuracy?

Increasing thinking tokens from ~1,100 to ~16K reduced benchmark accuracy from 87.3% to 70.3%, revealing a non-monotonic relationship where models overthink easy problems and underthink hard ones.

Why does chain of thought accuracy eventually decline with length?

Task accuracy peaks at intermediate CoT length, with optimal length increasing alongside task difficulty but decreasing with model capability. RL training naturally gravitates toward shorter chains as models improve, revealing that simplicity emerges from reward signals rather than explicit training.

Does longer reasoning actually mean harder problems?

Controlled A* maze experiments show trace length correlates with difficulty only in-distribution but decouples entirely out-of-distribution. Trace length primarily reflects recall of training schemas, not adaptive computation.

Do language models fail at reasoning due to complexity or novelty?

LRMs don't break at complexity thresholds but at instance-novelty boundaries. Models fit instance-based patterns rather than generalizable algorithms, so any reasoning chain succeeds if trained on similar instances, regardless of length.

Show all 8 sources
Can models think longer by forgetting intermediate reasoning?

Most intermediate reasoning tokens become unimportant as reasoning progresses, so keeping only the instruction prefix and a recent window achieves 3x speedup without training while enabling traces beyond 100k tokens.

Can reasoning systems forget history without losing coherence?

Atom of Thoughts decomposes problems into DAGs and contracts them iteratively, ensuring each state depends only on the current problem—not prior steps. This memoryless approach eliminates historical baggage that bloats reasoning while maintaining answer equivalence.

Can we steer reasoning toward brevity without retraining?

Activation-Steered Compression extracts a single vector from 50 paired examples to reduce chain-of-thought length by 67% while maintaining accuracy and achieving 2.73x speedup. The method is training-free and generalizes across model sizes and domains.

Papers this line draws on 8

The research behind the notes this line reads — ranked by how closely each paper relates.