Refactor and add more benchmarks for montecarlo

[officialasishkumar]

:pencil: Description

Type: :rocket: feature

Refactor montecarlo Bencmarks and adding new benchmarks that cover most of the functions inside montecarlo.

:pushpin: Resources

Examples, notebooks, and links to useful references.

:vertical_traffic_light: Testing

How did you test these changes?

• [ ] Testing pipeline
• [ ] Other method (describe)
• [ ] My changes can't be tested (explain why)

:ballot_box_with_check: Checklist

• [ ] I requested two reviewers for this pull request
• [ ] I updated the documentation according to my changes
• [ ] I built the documentation by applying the build_docs label

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[tardis-bot]

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[tardis-bot]

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[tardis-bot]

*beep* *bop* Hi human, I ran benchmarks as you asked comparing master (e88a31a809eb041068fffeeb16e1585b8e51f3a5) and the latest commit (a245a7d627cb7c94857620dc8bd9dda98bdad262). Here are the logs produced by ASV. Results can also be downloaded as artifacts here. Significantly changed benchmarks:

```diff · No results found ```

All benchmarks:

```diff · No results found ```

[AlexHls]

@officialasishkumar Can you please update the PR description, adding some details and a description of your changes?

[andrewfullard]

Can you provide example results from these benchmarks?

[andrewfullard]

Looks like you will need to deal with conflicts too.

[officialasishkumar]

result log: https://paste.opensuse.org/pastes/436f08c4d14a

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 69.67%. Comparing base (0df98ce) to head (ea6175a). Report is 8 commits behind head on master.

Additional details and impacted files

```diff @@ Coverage Diff @@ ## master #2640 +/- ## ========================================== + Coverage 67.80% 69.67% +1.87% ========================================== Files 177 181 +4 Lines 14534 14468 -66 ========================================== + Hits 9855 10081 +226 + Misses 4679 4387 -292 ```

:umbrella: View full report in Codecov by Sentry.
:loudspeaker: Have feedback on the report? Share it here.

[officialasishkumar]

command: asv run refactor-benchmarks^! Output: https://paste.opensuse.org/pastes/bbf48b94a74c

the benchmarks are ran on all the functions in this PR.

[officialasishkumar]

Benchmark results for formal_integral functions: https://paste.opensuse.org/pastes/4983e0ca50cb