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FIRE optimization algorism need to be improved #4016

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@QuantumMisaka

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As #3558, the BFGS is correct and have good efficiency now, but FIRE algorism is still lack of efficiency.

ASE also have FIRE algorism, we can take it as a reference

Task list for Issue attackers (only for developers)

  • Reproduce the performance issue on a similar system or environment.
  • Identify the specific section of the code causing the performance issue.
  • Investigate the issue and determine the root cause.
  • Research best practices and potential solutions for the identified performance issue.
  • Implement the chosen solution to address the performance issue.
  • Test the implemented solution to ensure it improves performance without introducing new issues.
  • Optimize the solution if necessary, considering trade-offs between performance and other factors (e.g., code complexity, readability, maintainability).
  • Review and incorporate any relevant feedback from users or developers.
  • Merge the improved solution into the main codebase and notify the issue reporter.

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Features NeededThe features are indeed needed, and developers should have sophisticated knowledge

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