o3: Stratospheric reasoning

Image above generated by AI for this analysis (Imagen 3-002)1Image generated in a few seconds, on 22 December 2024, via Imagen 3-002, text prompt by Alan D. Thompson, ‘a zoomed out background header for ozone in the stratosphere, with lowercase title ‘o3’, otherworldly colors.’

Advising organizations from Apple to the US Gov, & cited in the new G7 AI doc.
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Alan D. Thompson
December 2024

 

Summary

Organization OpenAI
Model name o3 (OpenAI model number three)
Internal/project name
Model type Multimodal
Parameter count See below: Size estimate
Dataset size (tokens) See report: What’s in GPT-5?
Training data end date Jun/2024 (est)
Training start date Sep/2024 (est)
Training end/convergence date Nov/2024 (est)
Training time (total)
See working, with sources.
Announce date 20/Dec/2024
Release date (public) 2025
Paper
Playground

Updates

17/Jan/2025: OpenAI CEO on the upcoming o3-mini model: ‘[o3-mini is] worse than o1 pro at most things (but FAST)… o3 is much smarter; we are turning our attention to that now. (and o3 pro?! 🤯 [is mind-blowing])’ (Twitter, 17/Jan/2025)

20/Dec/2024: o3 benchmarks:

GPQA Diamond=87.7% (o1=78.3%)
AIME 2024 = 96.7% (only one question wrong)
Codeforces: 99.8th percentile (score = 2727, o1=P94/1891)
SWE-bench verified = 71.7% (o1=48.9%)
FrontierMath = 25.2% (o1=2%)

Fields Medalist Timothy Gowers on the hundreds of questions in the FrontierMath benchmark (Nov/2024):
‘…all looked like things I had no idea how to solve… Getting even one question right would be well beyond what we can do now, let alone saturating them.’ [To score 25.2%, o3 must have got at least 63 of 250 questions correct]

19/Dec/2024: o2 renamed to o3:

“OpenAI is currently prepping the next generation of its o1 reasoning model, which takes more time to “think” about questions users give it before responding, according to two people with knowledge of the effort.

However, due to a potential copyright or trademark conflict with O2, a British telecommunications service provider, OpenAI has considered calling the next update “o3” and skipping “o2,” these people said.”
— via theinformation.com

Sidenote: I am seriously disappointed that my super cool analysis title ‘o2: The breath of life’ will go to waste because of a phone company. :-(

3/Nov/2024: OpenAI’s first mention of o2 by OpenAI CEO: ‘I heard o2 gets 105% on GPQA’ (Twitter, 3/Nov/2024)

Major points

Model name

OpenAI (17/Oct/2024 timecode 21m11s, transcribed by Whisper):
We plan to continue developing and releasing models in the new OpenAI o1 series, as well as our GPT series. In addition to model updates, we expect to add web browsing, file and image uploading, and other features to [o1 to] make them more useful in use cases in ChatGPT. And while even today you are able to switch between models in the same conversation, like you saw in the demo, we’re working to enable ChatGPT to automatically choose the right model for your given prompt.

Smarts

Reasoning model scores: o1, o3, o4

Human avg o1 o3 o1→o3 Δ o4 o3→o4 Δ
MMLU
Reasoning

34.5%

2Human average, not expert average

92.3%

- -
GPQA
Reasoning

34.0%

3PhD human average, but not PhD in subject field average

78.3%

87.7%

12.0% ▲

AIME 2024
Mathematics

33.3%

(10/30)4"2024 AIME I and II median score=5/15": artofproblemsolving.com, disregards that these humans are probably in the top 1% of mathematics performance: 'Qualification parameters for the AIME depend on the results of the AMC 10 and AMC 12 competitions. For the AMC 10, at least the top 2.5% of all scorers from the A and B competition dates are invited, and for the AMC 12, at least the top 5% of all scorers on each version are invited [to take the AIME test].maa.org

83.3%

(25/30)

96.7%

(29/30)

16.1% ▲

Codeforces
Software development

28.6%

(1147/4000)5https://codeforces.com/blog/entry/126802

47.3%

(1891/4000)

68.2%

(2727/4000)

44.2% ▲

SWE-bench
Software development

17.5%

6Human expert average, that is junior developer estimate=10-25%: https://github.com/All-Hands-AI/OpenHands/issues/1693

48.9%

71.7%

46.6% ▲

ARC-AGI
Abstract reasoning

47.8%

7NYU: "Independent samples t-tests suggest that evaluation tasks are significantly harder for people than training tasks... We estimate that the average task accuracy after three attempts on the evaluation set is 64.2% (SD=22.8%, [55.9%, 68.9%]). In addition to this result, we report a first and second attempt average task accuracy of 47.8% (SD=23.2%, [41.6%, 54.6%] and 60.2% (SD=23.3%, [52.4%, 65.4%]) respectively." https://arxiv.org/pdf/2409.01374#page=6

32.0%

8x.com

87.5%

173.4% ▲

FrontierMath
Mathematics

0.0%

(0/250)9Human average estimate (by Alan)

2.0%

(5/250)

25.2%

(63/250)

1,160% ▲

GPQA bubbles

See: AI + IQ testing (human vs AI)

Size estimate (o1)

Perhaps beginning with gpt-3.5-turbo (high performance with just 20B parameters, as revealed in a paper published and then quickly withdrawn by Microsoft in Oct/2023), the number of parameters in a model is no longer the primary indicator of the model’s power and capabilities. Other factors, such as architecture, training data quality, and inference optimization, now play equally important roles in determining a model’s overall performance.

In Apr/2021, Jones (now at Anthropic) released a paper called ‘Scaling Scaling Laws with Board Games’. It found that ‘for each additional 10× of train-time compute, about 15× of test-time compute can be eliminated.’

Reversing this relationship suggests that:

A 15× increase in inference-time compute would equate to a 10× increase in train-time compute.

Dr Noam Brown at OpenAI discussed this finding in a presentation to the Paul G. Allen School on 23/May/2024 and released to the public on 17/Sep/2024 (timecode is 28m17s).

In Aug/2024, Google DeepMind (with UC Berkeley) released a paper called ‘Scaling LLM Test-Time Compute Optimally can be More Effective than Scaling Model Parameters’. They found that:

“on problems where a smaller base model attains somewhat non-trivial success rates, test-time compute can be used to outperform a 14x larger model.

Test-time and pretraining compute are not 1-to-1 “exchangeable”. On easy and medium questions, which are within a model’s capabilities, or in settings with small inference requirement, test-time compute can easily cover up for additional pretraining. However, on challenging questions which are outside a given base model’s capabilities or under higher inference requirement, pretraining is likely more effective for improving performance.”

The table below is an extrapolation of DeepMind’s findings. It is oversimplified, all figures are rounded, and there may be a larger error margin as scale increases. I have added an ‘MoE equiv’ column, which shows the mixture-of-experts model size equivalent by applying a a 5× multiplier rule to the Dense model size (Standard inference-time compute, ITC).

Dense (Increased ITC) Dense (Standard ITC)
×14
MoE equiv (Standard ITC)
×5
1B 14B 70B
7B 98B 490B
8B 112B 560B
20B 280B 1.4T
25B 350B 1.76T (GPT-4)
30B 420B 2.1T
70B 980B 4.9T
180B 2.52T 12.6T
200B (o1) 2.8T 14T
280B 3.92T 19.6T
540B 7.56T 37.8T

Read more at LifeArchitect.ai/o1

Dataset

A 200B parameter model trained on 20T tokens would have a tokens:parameters ratio of 100:1, an optimal pretraining ratio in 2024. See: Chinchilla data-optimal scaling laws: In plain English.

The o3 dataset is expected to use much of the initial GPT-3 dataset as detailed in my report What’s in my AI?, and to be very similar to the dataset used to train GPT-4 Classic 1.76T (available in lab Aug/2022), with some additional datasets from new synthetic data and partnerships as outlined in my GPT-5 dataset report.


A Comprehensive Analysis of Datasets Likely Used to Train GPT-5

Alan D. Thompson
LifeArchitect.ai
August 2024
27 pages incl title page, references, appendices.

View the report


Use cases

Coming soon…

2025 frontier AI models + highlights

Download source (PDF)
Permissions: Yes, you can use these visualizations anywhere, please leave the citation intact.

Models Table

Summary of current models: View the full data (Google sheets)

Timeline to o3

Date Milestone
11/Jun/2018 GPT-1 announced on the OpenAI blog.
14/Feb/2019 GPT-2 announced on the OpenAI blog.
28/May/2020 Initial GPT-3 preprint paper published to arXiv.
11/Jun/2020 GPT-3 API private beta.
22/Sep/2020 GPT-3 licensed to Microsoft.
18/Nov/2021 GPT-3 API opened to the public.
27/Jan/2022 InstructGPT released as text-davinci-002, now known as GPT-3.5. InstructGPT preprint paper Mar/2022.
28/Jul/2022 Exploring data-optimal models with FIM, paper on arXiv.
1/Sep/2022 GPT-3 model pricing cut by 66% for davinci model.
21/Sep/2022 Whisper (speech recognition) announced on the OpenAI blog.
28/Nov/2022 GPT-3.5 expanded to text-davinci-003, announced via email:
1. Higher quality writing.
2. Handles more complex instructions.
3. Better at longer form content generation.
30/Nov/2022 ChatGPT announced on the OpenAI blog.
14/Mar/2023 GPT-4 released.
31/May/2023 GPT-4 MathMix and step by step, paper on arXiv.
6/Jul/2023 GPT-4 available via API.
25/Sep/2023 GPT-4V finally released.
13/May/2024 GPT-4o announced.
18/Jul/2024 GPT-4o mini announced.
12/Sep/2024 o1 released.
20/Dec/2024 o3 announced.
2025 GPT-5…
2025 GPT-6…

Videos

My livestream (link):

Interview (link):

OpenAI o3 evals (link):

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by Dr Alan D. Thompson · Be inside the lightning-fast AI revolution.
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Alan D. Thompson is a world expert in artificial intelligence, advising everyone from Apple to the US Government on integrated AI. Throughout Mensa International’s history, both Isaac Asimov and Alan held leadership roles, each exploring the frontier between human and artificial minds. His landmark analysis of post-2020 AI—from his widely-cited Models Table to his regular intelligence briefing The Memo—has shaped how governments and Fortune 500s approach artificial intelligence. With popular tools like the Declaration on AI Consciousness, and the ASI checklist, Alan continues to illuminate humanity’s AI evolution. Technical highlights.

This page last updated: 20/Jan/2025. https://lifearchitect.ai/o3/
  • 1
    Image generated in a few seconds, on 22 December 2024, via Imagen 3-002, text prompt by Alan D. Thompson, ‘a zoomed out background header for ozone in the stratosphere, with lowercase title ‘o3’, otherworldly colors.’
  • 2
    Human average, not expert average
  • 3
    PhD human average, but not PhD in subject field average
  • 4
    "2024 AIME I and II median score=5/15": artofproblemsolving.com, disregards that these humans are probably in the top 1% of mathematics performance: 'Qualification parameters for the AIME depend on the results of the AMC 10 and AMC 12 competitions. For the AMC 10, at least the top 2.5% of all scorers from the A and B competition dates are invited, and for the AMC 12, at least the top 5% of all scorers on each version are invited [to take the AIME test].maa.org
  • 5
  • 6
    Human expert average, that is junior developer estimate=10-25%: https://github.com/All-Hands-AI/OpenHands/issues/1693
  • 7
    NYU: "Independent samples t-tests suggest that evaluation tasks are significantly harder for people than training tasks... We estimate that the average task accuracy after three attempts on the evaluation set is 64.2% (SD=22.8%, [55.9%, 68.9%]). In addition to this result, we report a first and second attempt average task accuracy of 47.8% (SD=23.2%, [41.6%, 54.6%] and 60.2% (SD=23.3%, [52.4%, 65.4%]) respectively." https://arxiv.org/pdf/2409.01374#page=6
  • 8
  • 9
    Human average estimate (by Alan)