Test on Python 3.11

[cclauss]

Describe your change:

Problem deps are qiskit, statsmodels, and tensorflow:

• Add support for Python 3.11 Qiskit/qiskit#9028

  • Build wheels for Python 3.11 release candidate 2 symengine/symengine.py#422

• Support Python 3.11 statsmodels/statsmodels#8287

• https://github.com/tensorflow/tensorflow/releases

• Try a new Python

• Add an algorithm?

• Fix a bug or typo in an existing algorithm?

• Documentation change?

Checklist:

• I have read CONTRIBUTING.md.
• This pull request is all my own work -- I have not plagiarized.
• I know that pull requests will not be merged if they fail the automated tests.
• This PR only changes one algorithm file. To ease review, please open separate PRs for separate algorithms.
• All new Python files are placed inside an existing directory.
• All filenames are in all lowercase characters with no spaces or dashes.
• All functions and variable names follow Python naming conventions.
• All function parameters and return values are annotated with Python type hints.
• All functions have doctests that pass the automated testing.
• All new algorithms have a URL in its comments that points to Wikipedia or other similar explanation.
• If this pull request resolves one or more open issues then the commit message contains Fixes: #{$ISSUE_NO}.

[dhruvmanila]

I don't think there's any point in testing out on latest Python versions as dependencies such as those in the ML/DS side takes time to support them.

[cclauss]

Do you mean like symengine/symengine.py#422 ? or srnas/barnaba#51 or scipy/scipy#16851?

I will continue pushing this repo and our deps to upgrade. 22% is a significant improvement.

[dhruvmanila]

Oh I see, that's fine then 👍

[cclauss]

statsmodels/statsmodels#8287

[cclauss]

@JatinR05 created a nice benchmark that allows us to compare the speed of Python 3.11 vs 3.10...

% brew install python@3.10 python@3.11
% python3.10 bit_manipulation/count_number_of_one_bits.py
% python3.11 bit_manipulation/count_number_of_one_bits.py

Benchmark when number = 25:
get_set_bits_count_using_modulo_operator(number) = 3
**Python 3.10** -- timeit() runs in 0.3546215830137953 seconds
**Python 3.11** -- timeit() runs in 0.283035458996892 seconds

get_set_bits_count_using_brian_kernighans_algorithm(number) = 3
**Python 3.10** -- timeit() runs in 0.2019664169929456 seconds
**Python 3.11** -- timeit() runs in 0.13870316700194962 seconds