Remove Cache for graph search

[liliu-z]

1. Remove the cache for better explainability.
2. Remove for_tuning param
3. Some auto format changes

issue: #864

/kind enhancement

[mergify]

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[liliu-z]

/kind enhancement

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 77.67%. Comparing base (3c46f4c) to head (b097b78).
Report is 210 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff            @@
##           main     #872       +/-   ##
=========================================
+ Coverage      0   77.67%   +77.67%     
=========================================
  Files         0       84       +84     
  Lines         0     6364     +6364     
=========================================
+ Hits          0     4943     +4943     
- Misses        0     1421     +1421     

see 84 files with indirect coverage changes

[hhy3]

/lgtm

[sre-ci-robot]

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