“Because 8 ≈ e², Anthropic’s researcher uplift is plausibly >2x” by Thomas Kwa

Note: the modeling assumptions and conclusion are Thomas Kwa's opinion, and others at METR disagree. [1] Also, the math was checked by Claude but not a second human.

Introduction

Anthropic's RSI blog post reported that in Q2 2026, Anthropic contributors merged 8× as much code per day as in the 2021-2024 period. What does this imply about the factor by which a researcher's total effective output increased — the (serial) researcher uplift [2] ?

Of course, 8× more code doesn't mean 8× more research, as coding is only part of the job. However, if we assume each line of code (LoC) has equivalent quality and verbosity to pre-2025 code and make standard economic modeling assumptions, we can conclude a surprising amount: all models predict researcher uplift at Anthropic from coding agents alone is >2×. (Researcher uplift could be even higher, because these numbers assume no uplift on non-code tasks.)

• Cobb-Douglas predicts that if pre-AI time spent coding is and code output increases by a factor , then researcher uplift is .
• CES (constant elasticity of substitution) production functions, due to a fun mathematical coincidence, infer a narrow range of about if code is [...]

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Outline:

(00:25) Introduction

(03:09) Economic models

(03:57) Cobb-Douglas model

(04:57) CES model

(05:26) Setup

(06:31) Because 8 ≈ e², the estimate is robust to σ!

(09:15) M = 8 also implies a lower bound on σ

(10:47) Code heterogeneity model: What if AI speeds up high-stakes code less?

(12:22) Caveats: How could Anthropic's uplift be less than 2x?

(12:36) Plausible reasons

(12:39) Verbosity

(14:42) Barely useful code

(16:14) Irrational time allocation, intrinsic desire to use AI, etc.

(17:17) Unlikely reasons

(17:21) Extreme heterogeneity

(18:04) Changing denominator

(18:34) Discussion

(18:37) Prefer code output over code uplift, for estimating overall uplift

(19:40) Why is Anthropic's own estimate much lower?

(21:55) There are reasons to expect even higher uplift

(22:46) Conclusion

(24:03) Appendix: Heterogeneous code model

The original text contained 8 footnotes which were omitted from this narration.

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First published:
July 9th, 2026

Source:
https://www.lesswrong.com/posts/ix5qEyW9BjGEb4d8k/because-8-e-anthropic-s-researcher-uplift-is-plausibly

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Narrated by TYPE III AUDIO.

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