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PERF: concat along axis 1 unnecessarily materializes RangeIndex->Int64Index #47501

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@vyasr

Description

@vyasr

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Reproducible Example

This is as of pandas 1.4.3

>>> import pandas as pd                                                                                                                                                                                                                                                                                                                                                
>>> pd.concat([pd.DataFrame({'a': range(10)}), pd.DataFrame({'b': range(10)})], sort=True, axis=1).index                                                                                                   Int64Index([0, 1, 2, 3, 4, 5, 6, 7, 8, 9], dtype='int64')

Even though both inputs have identical RangeIndex inputs, the output index is an Int64Index. This behavior appears to be triggered by the sort=True parameter, since removing that gives a RangeIndex.

>>> pd.concat([pd.DataFrame({'a': range(10)}), pd.DataFrame({'b': range(10)})], axis=1).index
RangeIndex(start=0, stop=10, step=1)

My naive guess is that there is a missing check somewhere that the sort is a no-op on a RangeIndex .

This issue definitely seems related to #46675, but it is not identical since it has specifically appeared in 1.4.3, whereas that issue was already present in 1.4.2.

Installed Versions

``` commit : e8093ba python : 3.8.13.final.0 python-bits : 64 OS : Linux OS-release : 4.15.0-76-generic Version : #86-Ubuntu SMP Fri Jan 17 17:24:28 UTC 2020 machine : x86_64 processor : x86_64 byteorder : little LC_ALL : None LANG : None LOCALE : en_US.UTF-8 pandas : 1.4.3 numpy : 1.22.4 pytz : 2022.1 dateutil : 2.8.2 setuptools : 62.6.0 pip : 22.1.2 Cython : 0.29.30 pytest : 7.1.2 hypothesis : 6.47.1 sphinx : 5.0.2 blosc : None feather : None xlsxwriter : None lxml.etree : 4.9.0 html5lib : None pymysql : None psycopg2 : None jinja2 : 3.0.3 IPython : 8.4.0 pandas_datareader: None bs4 : 4.11.1 bottleneck : None brotli : fastparquet : None fsspec : 2022.5.0 gcsfs : None markupsafe : 2.1.1 matplotlib : 3.5.2 numba : 0.55.2 numexpr : None odfpy : None openpyxl : None pandas_gbq : None pyarrow : 8.0.0 pyreadstat : None pyxlsb : None s3fs : 2022.5.0 scipy : 1.8.1 snappy : sqlalchemy : 1.4.38 tables : None tabulate : 0.8.10 xarray : None xlrd : None xlwt : None zstandard : None ```

Prior Performance

This is as of pandas 1.4.2

>>> pd.concat([pd.DataFrame({'a': range(10)}), pd.DataFrame({'b': range(10)})], sort=True, axis=1).index
RangeIndex(start=0, stop=10, step=1)

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PerformanceMemory or execution speed performanceRegressionFunctionality that used to work in a prior pandas versionReshapingConcat, Merge/Join, Stack/Unstack, Explode

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