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What is o3-mini? OpenAI's Reasoning Model Explained (2026)

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What is o3-mini? OpenAI’s Reasoning Model Explained (2026)

o3-mini is OpenAI’s accessible reasoning model that “thinks” through problems before responding. It delivers o1-level performance at lower latency and cost, with 150 messages/day for ChatGPT Plus users. Optimized for STEM tasks, math, and complex reasoning.

How o3-mini Works

Unlike traditional AI models that generate responses immediately, o3-mini uses “private chain-of-thought” reasoning:

  1. Receives your question
  2. Thinks through the problem (extended processing)
  3. Works step-by-step internally
  4. Outputs well-reasoned answer

This approach dramatically improves accuracy on complex problems.

Key Capabilities

Extended Reasoning

  • Works through multi-step problems
  • Shows logical progression
  • Better at complex tasks

STEM Excellence

  • Mathematics (calculus, proofs)
  • Coding (algorithms, debugging)
  • Science (physics, chemistry)
  • Logic puzzles

Search Integration

  • Real-time web search
  • Up-to-date information
  • Source citations

Lower Latency

Compared to o1:

  • Faster responses
  • Same quality output
  • More efficient processing

Specifications

SpecValue
Daily limit (Plus)150 messages
API input$1.10/M tokens
API output$4.40/M tokens
SearchYes
VisionLimited

o3-mini vs Other Models

Featureo3-miniGPT-4oo1
ReasoningExtendedStandardExtended
SpeedMediumFastSlower
STEMExcellentGoodExcellent
CreativeGoodExcellentGood
CostLowLowHigh
Daily limit150HigherLower

When to Use o3-mini

Use o3-mini for:

  • Complex math problems
  • Algorithm design
  • Scientific analysis
  • Code debugging
  • Logical reasoning
  • Research questions

Use GPT-4o instead for:

  • Quick questions
  • Creative writing
  • General conversation
  • Image generation
  • Faster responses

Examples

Math Problem

Prompt: Prove that the square root of 2 is irrational.

o3-mini: [Shows complete proof with logical steps,
using proof by contradiction, demonstrating why
assuming √2 is rational leads to a contradiction]

Coding Task

Prompt: Find the bug in this binary search code
and explain the fix.

o3-mini: [Analyzes code step-by-step, identifies
off-by-one error, explains why it occurs, provides
corrected version with explanation]

The o3 Family

ModelUse CaseCost
o3-miniDaily reasoning (best value)$
o3Maximum accuracy$$$
o1 (legacy)Being replaced by o3$$

How to Access

In ChatGPT

  1. Open ChatGPT
  2. Click model selector
  3. Choose “o3-mini”
  4. Enter reasoning task

Via API

from openai import OpenAI
client = OpenAI()

response = client.chat.completions.create(
    model="o3-mini",
    messages=[{"role": "user", "content": "Your question"}]
)

Performance Highlights

OpenAI’s testing shows:

“o3-mini delivered results on par with o1 at a lower latency, and outperformed o1-mini on advanced STEM tasks.”

This makes o3-mini the default choice for most reasoning tasks.


Last verified: March 11, 2026