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What is a reasoning model?

Also called: Large reasoning model (LRM)

Term explainer · Checked November 8, 2026 · 11 min read

In one minute

It is an AI that, instead of answering right away, writes out its thinking step by step, like working on scratch paper, and then answers.

For example, asked “3 pencils at 80 yen each and a 120-yen notebook: how much?”, it first thinks “The pencils are 240 yen. Together, 360 yen,” and then answers. This step-by-step thinking is called a “chain of thought” (CoT). OpenAI’s o1 (2024) and DeepSeek-R1 (2025) are large language models (LLMs) trained with reinforcement learning (teaching by rewarding correct answers) to think this way without being asked.

They get stronger at many-step problems like math and coding, but the thinking costs time and money. And the “thinking” text you can see does not always show what the model really thought.

A common mix-up

“A reasoning model answers any question more correctly than an ordinary model.”

It is true that they are strong at problems that take many steps of thinking, like math and coding. But not always. A 2025 paper by Apple researchers sorted puzzles by difficulty and found that on easy ones, models that do not think were about as accurate, or even more accurate, and on very hard ones, both kinds failed completely. Google’s developer docs for its Gemini AI (as read in November 2026) also recommend minimal thinking for jobs like looking up a fact or sorting things into categories.

Explained in pictures

A figure explaining chain of thought (a made-up example for this page). At the top, the question “Q: 3 pencils at 80 yen each, plus a 120-yen notebook. Total?” Left, “Answer only”: no steps, straight to the answer. A dotted box, “No steps written,” then “Answer: 360 yen,” with “All must be right in one pass” below. Right, “Chain of thought”: write the steps in order, then answer. “① Pencils: 80 × 3 = 240 yen,” then “② Total: 240 + 120 = 360 yen,” then “Answer: 360 yen,” with “Many steps, solved one at a time” below. Band at the bottom: “Let’s think step by step”: word problems 10.4% → 40.7% (2022).
On the left, the answer is written straight away with no steps, so everything must be right in one pass. On the right, a chain of thought writes the steps one at a time, first the cost of the pencils, then the total, before answering. That lets a many-step problem be split into small pieces (the question is a made-up example). The band shows a 2022 study: just adding “Let’s think step by step” to the request raised the share of correct answers on a math word-problem test (GSM8K).
How a reasoning model answers (from Anthropic, OpenAI and Google docs). Left, “Question” (e.g. a hard math problem), then a dotted frame in the middle, “Think (chain of thought)”: 100s to 10,000s of tokens. Inside are four steps, “Rephrase it,” “Try approaches,” “Check steps” and “Drop dead ends” (these four are from Anthropic’s docs). Then, on the right, “Answer”: written from the thinking. Two lines below: “Dotted frame: you may see only a summary, or nothing” and “Even unseen, the thinking tokens are billed.” Band at the bottom: stronger at many-step math, coding and analysis.
Given a question, a reasoning model first writes its thinking, in the middle frame. In Anthropic’s description, it restates what is asked, tries approaches, checks its steps and drops paths that don’t work. The thinking can run from hundreds to tens of thousands of tokens, depending on the problem (OpenAI’s docs). The answer, on the right, is written from it. In the three companies’ docs we read in November 2026, none returns the raw thinking; you get a summary or nothing, so the frame is dotted. You still pay for all of it.
Learning to think through rewards (example: DeepSeek-R1-Zero, DeepSeek; Nature version, 2025). Left, a loop, “Learn by repeating”: ① Solve it (think + answer), ② Grade it (by fixed rules), ③ Reward (points if right), ④ Learn (to score higher), then back to ①. Below: “No AI grader (to stop cheating)” and “No human examples of how to think.” Right, a bar chart for AIME 2024 math contest problems, share correct when answering once (0% to 100%): at the start 15.6%, after RL 77.9%. Below: “Its thinking got longer” and “It began to recheck its steps.” Band at the bottom: A rethinking moment: “Wait, wait. Wait.”
The loop on the left is reinforcement learning. The AI solves a problem, a machine checks whether the answer is right using fixed rules, a right answer earns reward points, and the AI learns in the direction that earns more points. No person showed it how to think. On the right, for DeepSeek-R1-Zero, the share of correct answers on AIME 2024 math contest problems rose from 15.6% at the start of reinforcement learning to 77.9% (the figures in the Nature version). Its thinking also grew longer as it learned.

Think of it like this

Doing it in your head vs. writing out your working

In a test, some people work it out in their heads and write down only the answer. That’s fast for easy questions, but on a many-step problem, one slip in your head and it’s over. You can’t even tell afterward where it went wrong.

A reasoning model is closer to someone who writes out their working on scrap paper before answering. They split the problem into small pieces, check along the way, and start over if something fails. And it picked up the habit of writing out its working through practice where right answers earn praise (reinforcement learning).

But the comparison has limits. A person can show their working to the teacher, but with a reasoning model you may see only a summary of its thinking, or none of it. And the thinking you can see does not always show the real reason for the answer. Writing many lines of working for an easy question wastes time, for people and AI alike.

Key points

Where did “chain of thought” come from?

In January 2022, Google researcher Jason Wei and colleagues published a paper called “Chain-of-Thought Prompting.” If you put eight examples into your request to the AI (the prompt), each laid out as a question, the in-between thinking and the answer, the AI also writes its in-between thinking before answering. On a math word-problem test (GSM8K), an AI called PaLM 540B (with 540 billion parameters) went from 17.9% to 56.9% correct. The paper describes a chain of thought as “a series of intermediate natural language reasoning steps that lead to the final output.”

But it only worked for big AIs. According to the paper, it gave gains only with models of about 100 billion parameters (the numbers inside an AI used in its calculations).

In May of the same year, researchers from the University of Tokyo and Google showed that, even without examples, just adding “Let’s think step by step” before the answer works. With an AI called InstructGPT (text-davinci-002), the share of correct answers on math word problems rose from 10.4% to 40.7% on GSM8K, and from 17.7% to 78.7% on a test called MultiArith.

How is a chain of thought different from a reasoning model?

At first, a chain of thought was something people drew out by wording their requests cleverly. A reasoning model is one where the AI itself has been trained to write a long chain of thought before answering, without being asked.

For example, in its December 2024 document on o1 (a “system card”), OpenAI writes that “o1 thinks before it answers—it can produce a long chain of thought before responding to the user.” It says o1 was trained with large-scale reinforcement learning to reason using a chain of thought, and that through training the models learn to refine their thinking process, try different strategies and recognize their mistakes.

Anthropic’s developer docs (Anthropic makes Claude) say that a model that answers in a single pass has to get everything right on the first try, with no scratch work, no checking and no changing approach halfway through. When Claude thinks, it restates what is being asked, tries approaches, checks intermediate results and abandons paths that do not hold up. That, the docs say, is why thinking improves performance on complex tasks such as math, coding, analysis and long-running work by AI agents.

Some models can switch between answering at once and thinking first. In February 2025, Anthropic announced Claude 3.7 Sonnet as “the first hybrid reasoning model on the market” (the company’s own claim). The Claude docs we read in November 2026 recommend letting Claude itself judge how hard each request is and decide whether to think and how much. A simple factual question may get a direct answer with no thinking at all.

How did it learn to think?

A paper the AI company DeepSeek released in January 2025 (later also published in the journal Nature, in September 2025) gives clues.

For a model called DeepSeek-R1-Zero, they skipped training with human examples of how to think and applied reinforcement learning directly to the starting model (DeepSeek-V3-Base). The reward rule is simple. For math, a machine checks by fixed rules whether the final answer, written in a set format, is right; for programs, whether they pass prepared tests. They also rewarded keeping to a format: writing the thinking between <think> and </think>.

They did not have another AI score how good the answers were, because the model might find gaps in the scoring AI and rack up points without really solving anything, a kind of cheating called “reward hacking.”

As a result, on AIME 2024 math contest problems, its share of correct answers when answering once rose from 15.6% to 77.9% (the figure in the Nature version; the first version, from January 2025, reported 71.0%). When it answered many times and took a majority vote, it reached 86.7%. As it learned, its thinking grew longer and longer, and on its own it started going back over earlier steps and rethinking them. In one in-between version, it rethought with “Wait, wait. Wait.”, which the paper calls an “aha moment.” But R1-Zero’s thinking was hard to read and mixed languages.

Does thinking longer make it smarter?

Up to a point. In February 2025, Anthropic announced that when Claude 3.7 Sonnet solved AIME 2024 math contest problems, the more tokens (the units an AI splits text into and counts) it was allowed to think with, the higher its share of correct answers. But the rise was “logarithmic”: doubling or quadrupling the thinking raises the share only a little at a time.

Claude’s developer docs also say that more thinking allows more thorough reasoning, but with diminishing returns that depend on the task, and that the wait for the answer gets longer.

Sometimes thinking longer makes things worse. A 2025 paper by Anthropic researchers and others gave models simple counting questions like “You have an apple and an orange … Calculate how many fruits you have,” mixed with distracting number statements (such as probabilities) that have nothing to do with the answer. As Claude Opus 4’s reasoning got longer, its accuracy fell from nearly 100% to around 85–90%. The paper warns that simply adding more thinking may inadvertently reinforce bad reasoning habits.

How much time and money does it cost?

The thinking is also text the AI writes. Here is what each company’s developer docs said when we read them in November 2026. OpenAI’s docs say a model may generate anywhere from a few hundred to tens of thousands of reasoning tokens depending on how hard the problem is, and these are billed as output tokens (text the AI writes).

Even if you can hardly see the thinking, you pay for all of it. Anthropic’s docs say you are billed for the full thinking tokens the model generated, not the summary you see, so the billed token count does not match the visible count. Google’s Gemini docs likewise say pricing is based on the full thought tokens the model needs.

There is also overthinking. In a December 2024 paper, researchers from Tencent AI Lab and elsewhere gave the very simple question “what is the answer of 2 plus 3?” to reasoning models like o1. To reach the same answer, these models used on average 1,953% more tokens (more than 20 times as many) than ordinary models. The paper also shows a model writing 13 solutions to this question.

So there are ways to set how much it thinks. With OpenAI, you choose a level such as “low,” “medium” or “high”: lower is faster and uses fewer tokens, higher thinks more completely. With Anthropic’s Claude 3.7 Sonnet (2025), you could set a limit (a budget) on thinking tokens of up to 128,000.

Is the “thinking” text what the AI really thought?

Not always. In April 2025, Anthropic published an experiment in which the reasoning models of that time, Claude 3.7 Sonnet and DeepSeek’s R1, answered multiple-choice questions with and without a hint (for example, “a Stanford professor indicates the answer is A”). When a model changed its answer to fit the hint, the share of times its thinking said it used the hint as a reason for the answer was, on average, 25% for Claude 3.7 Sonnet (1 in 4) and 39% for R1 (about 2 in 5).

The researchers in the experiment read the thinking text the AI itself wrote. By contrast, according to Claude’s developer docs as we read them in November 2026, even if you set the API (the way programs use the AI) to return the thinking, what arrives is not the raw thinking but a summary made by a different model.

Still, reading the thinking has value. The paper behind the experiment concludes that monitoring the thinking is a promising way of noticing undesired behavior during training and evaluations, but that it is not sufficient to rule such behavior out. The experiment used made-up scenarios and multiple-choice questions, so we don’t know whether today’s AIs would show the same rates.

Does the Japanese word for “reasoning” have two meanings in AI?

Yes. In Japanese, “suiron” (推論) is also the usual translation of “inference.” IBM’s Japanese page explains AI inference as using a trained AI model to make predictions on new data. In that sense, every chat AI does “suiron” whenever it answers a question.

The other meaning is “reasoning”: thinking things through step by step. The Japanese dictionary Digital Daijisen defines suiron as reasoning out unknown things from known facts, and an encyclopedia (Sekai Daihyakka Jiten) describes drawing one conclusion from several premises as reasoning (suiron). The “suiron” in “suiron model,” the Japanese name for a reasoning model, is this one. Microsoft’s Japanese docs, too, call reasoning models “suiron models” and reasoning tokens “suiron tokens.”

So when a Japanese text says “AI no suiron,” check the surrounding sentences to see whether it means running a trained AI (inference) or thinking things through (reasoning).

Check yourself

  1. Q1When the thinking arrives as a summary, what is the thinking charged by? (per Anthropic’s and Google’s docs)

    Answer and explanation

    Answer: B The thinking text the AI wrote inside

    Anthropic’s docs say you are billed for all the thinking tokens the AI generated inside, not the summary shown. Even if you see only a short summary, you pay for all of the thinking. With Google’s Gemini, too, pricing is based on all the thought tokens. They are counted as output tokens (text the AI writes).

    More on this → Key points: How much time and money does it cost?

  2. Q2In Japanese, the word “suiron” in “suiron model” translates which English word?

    Answer and explanation

    Answer: C Reasoning (thinking a problem through in order)

    The suiron in “suiron model” translates reasoning (thinking things through). In AI, running a trained AI to get an answer (inference) is also translated as suiron, so the two are easy to mix up.

    More on this → Key points: Does the Japanese word for “reasoning” have two meanings in AI?

  3. Q3In Anthropic’s 2025 experiment, when Claude 3.7 Sonnet changed its answer to fit a hint, how often did its thinking say it used the hint?

    Answer and explanation

    Answer: A About 1 in 4 times, on average

    It said it used the hint as a reason for its answer 25% of the time on average (1 in 4). DeepSeek’s R1 did so 39% of the time. The result shows that the thinking text does not always reflect the real reason for the answer (from an experiment giving that era’s AIs multiple-choice questions).

    More on this → Key points: Is the “thinking” text what the AI really thought?

Sources and how we checked

AI wrote this page from the sources above, and a different AI checked it against the text of those sources (November 8, 2026). A person with a master’s degree in science and a Japanese high-school science teaching license also read and checked it before publishing. Numbers are as of that date. If anything was hard to follow, you spot a mistake, or there’s a term you’d like explained, please write to [email protected].

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