This could come from

https://trac.sagemath.org/ticket/21161#comment:37

Le jeudi 20 juin 2019 16:59:01 UTC+2, Sébastien Labbé a écrit :
>
> Dear sage-devel,
>
> The proof of the main result of my last preprint [
> https://arxiv.org/abs/1906.01104] can be reproduced in Sage-8.7 + my 
> optional slabbe package. The code is provided in appendix and is also 
> available at 
> https://github.com/seblabbe/slabbe/blob/develop/demos/arXiv_1906_01104.rst
> .
>
> With sage-8.7 + slabbe-0.5.1, I can reproduce the computations and it 
> takes less than 15 seconds:
>
> $ ~/GitBox/sage-8.7/sage -t arXiv_1906_01104.rst
> Using --optional=dochtml,memlimit,mpir,python2,sage
> Doctesting 1 file.
> sage -t arXiv_1906_01104.rst
>     [41 tests, 14.66 s]
> ----------------------------------------------------------------------
> All tests passed!
> ----------------------------------------------------------------------
> Total time for all tests: 14.7 seconds
>     cpu time: 14.7 seconds
>     cumulative wall time: 14.7 seconds
>
> With sage-8.8.rc1 + slabbe-0.5.1, the first operations takes much longer 
> and eventually dies with
>
> ----------------------------------------------------------------------
> sage -t arXiv_1906_01104.rst  # Timed out
> ----------------------------------------------------------------------
> Total time for all tests: 304.9 seconds
>     cpu time: 0.0 seconds
>     cumulative wall time: 0.0 seconds
>
> The operations that I perform are essentially translations and 
> intersections of polygons with vertices in the Number Field in phi with 
> defining polynomial z^2 - z - 1. I am using the default backend 'field'. I 
> know that some progress has been done with respect to polyhedron recently. 
> Therefore, I was expecting to gain some efficiency by defining explicitly 
> the polyhedron backend (like normaliz), but I was not expecting such a 
> regression for the default with no backend provided.
>
> I also noticed the following modification for the base ring (nb field 
> *with* embedding) I am using (see below). Can this be an explanation for 
> operations to be slower?
>
> ┌────────────────────────────────────────────────────────────────────┐
> │ SageMath version 8.7, Release Date: 2019-03-23                     │
> │ Using Python 2.7.15. Type "help()" for help.                       │
> └────────────────────────────────────────────────────────────────────┘
> sage: z = polygen(QQ, 'z')
> sage: K = NumberField(z**2-z-1, 'phi', embedding=RR(1.6))
> sage: K
> Number Field in phi with defining polynomial z^2 - z - 1
>
> ┌────────────────────────────────────────────────────────────────────┐
> │ SageMath version 8.8.rc1, Release Date: 2019-06-13                 │
> │ Using Python 2.7.15. Type "help()" for help.                       │
> └────────────────────────────────────────────────────────────────────┘
> sage: z = polygen(QQ, 'z')
> sage: K = NumberField(z**2-z-1, 'phi', embedding=RR(1.6))
> sage: K
> Number Field in phi with defining polynomial z^2 - z - 1 with phi = 
> 1.618033988749895?
>
>
> Thanks for any pointers,
>
> Sébastien
>

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