AQFP synthesis flow experiment code (DATE) (lsils#562)

* First flow template

* Add AQFP database

* Add benchmark count.v

* Integrating AQFP exact synthesis flow.

* add buffer insertion

* Minor fix

* Fix a compiler dependency in AQFP resynthesis

* lift limit on max chunk size

* New AQFP-only updates

* Add AQFP-Only changes.

* Remove redundant file.

* Remove db

* Remove db

* update results

* clean up

* clean up

* Add file header note

* rename

* avoid assertion fail

The algorithm will be re-inspected again later...

Co-authored-by: aletempiac <[email protected]>
Co-authored-by: Dewmini Sudara <[email protected]>