BUG: pandas.cut doesnt respect to precision=3 when include_lowest=True

[eromoe]

Pandas version checks

• I have checked that this issue has not already been reported.

• I have confirmed this bug exists on the latest version of pandas.

• I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

a  = pd.Series(np.linspace(-0.9999999, 10, 200))
pd.cut(a, 10, retbins=True, include_lowest=True, precision=3)

Issue Description

Expected Behavior

lowest value should be precision=3

Installed Versions

INSTALLED VERSIONS

commit : 4bfe3d0
python : 3.8.8.final.0
python-bits : 64
OS : Windows
OS-release : 10
Version : 10.0.19041
machine : AMD64
processor : AMD64 Family 25 Model 33 Stepping 0, AuthenticAMD
byteorder : little
LC_ALL : None
LANG : None
LOCALE : Chinese (Simplified)_China.936

pandas : 1.4.2
numpy : 1.19.5
pytz : 2021.1
dateutil : 2.8.1
pip : 22.0.4
setuptools : 44.0.0
Cython : 0.29.23
pytest : 6.2.3
hypothesis : None
sphinx : 4.0.1
blosc : None
feather : 0.4.1
xlsxwriter : 1.3.8
lxml.etree : 4.6.3
html5lib : 1.1
pymysql : None
psycopg2 : None
jinja2 : 3.1.1
IPython : 7.22.0
pandas_datareader: None
bs4 : 4.9.3
bottleneck : 1.3.2
brotli :
fastparquet : None
fsspec : 2021.07.0
gcsfs : None
markupsafe : 2.1.1
matplotlib : 3.3.4
numba : 0.53.1
numexpr : 2.7.3
odfpy : None
openpyxl : 3.0.7
pandas_gbq : None
pyarrow : 7.0.0
pyreadstat : None
pyxlsb : None
s3fs : 2021.07.0
scipy : 1.6.2
snappy : None
sqlalchemy : 1.4.7
tables : 3.6.1
tabulate : 0.8.9
xarray : None
xlrd : 2.0.1
xlwt : 1.3.0
zstandard : None

[simonjayhawkins]

Thanks @eromoe for the report.

The bug appears to be in the rounding and adjust logic in _format_labels in pandas/core/reshape/tile.py

further investigations and PRs welcome.

[simonjayhawkins]

closing as duplicate of #33912