This makes a good benchmark LLMs:

``` look at this paper: https://arxiv.org/pdf/2603.21852

now please produce 2x+y as a composition on EMLs ```

Opus(paid) - claimed that "2" is circular. Once I told it that ChatGPT have already done this, finished successfully.

ChatGPT(free) - did it from the first try.

Grok - produced estimation of the depth of the formula.

Gemini - success

Deepseek - Assumed some pre-existing knowledge on what EML is. Unable to fetch the pdf from the link, unable to consume pdf from "Attach file"

Kimi - produced long output, stopped and asked to upgrade

GLM - looks ok

I changed the prompt to this:

""" Consider a mathematical function EML defined as `eml(x,y)=exp(x)−ln(y)`

Please produce `sin(x)/x` as a composition on EMLs and constant number 1 (one). """

> Once I told it that ChatGPT have already done this, finished successfully.

TIL you can taunt LLMs. I guess they exhibit more competitive spirit than I thought.

I copy and pasted the abstract into DeepSeek and asked your question. It's a bit unfair to penalise it for not knowing PDFs.

It got a result.

So what is the correct answer?