[Algorithm] Update DT

[BY571]

Description

Similar to #1523 a cleanup for logging, comments, and timing

Motivation and Context

Why is this change required? What problem does it solve?
If it fixes an open issue, please link to the issue here.
You can use the syntax close #15213 if this solves the issue #15213

• I have raised an issue to propose this change (required for new features and bug fixes)

Types of changes

What types of changes does your code introduce? Remove all that do not apply:

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds core functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation (update in the documentation)
• Example (update in the folder of examples)

Checklist

Go over all the following points, and put an x in all the boxes that apply.
If you are unsure about any of these, don't hesitate to ask. We are here to help!

• [X ] I have read the CONTRIBUTION guide (required)
• My change requires a change to the documentation.
• I have updated the tests accordingly (required for a bug fix or a new feature).
• I have updated the documentation accordingly.

[vmoens]

@BY571 is this ready for review?

[BY571]

@BY571 is this ready for review?

Yes, should be ready for review.

Also, #998 whenever you have time :)

[vmoens]

Wonderful thanks!
Don't hesitate to make the PR ready for review (not draft) and ping me when it's ready!

[vmoens]

LGTM! Thanks for this!