It's likely he used Sage's symbolics (and an old version at that) instead 
of poly rings. I replied there.

On Sunday, July 9, 2017 at 5:39:29 PM UTC+2, William wrote:
>
> New blog post from Bill Hart.  It includes a section claiming Sage’s 
> multivariate polynomial arithmetic speed is much worse than expected...
>
> ---------- Forwarded message ---------
> From: Bill Hart <goodwi...@googlemail.com <javascript:>>
> Date: Sun, Jul 9, 2017 at 8:34 AM
> Subject: [ODK participants] Blog post on fast multivariate arithmetic
> To: Opendreamkit participants <partic...@opendreamkit.org <javascript:>>
>
>
> Dear all,
>
> I've written a blog post on the fast multivariate arithmetic we've been 
> doing for ODK [1]. This is a deliverable which is due at the end of the 
> four years, so we've got a long way to go, but it is progressing nicely in 
> the interim.
>
> The next stage is to parallelise this, and we've hired Daniel Schultz to 
> work on our ODK deliverable which will do precisely this. He's an 
> experienced developer from the US who was already writing his own CAS (in 
> assembly language, believe it or not!)
>
> Bill.
>
> [1] 
> https://wbhart.blogspot.de/2017/07/update-on-fast-multivariate-polynomial.html
> -- 
> -- William Stein
>

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