When one schedules a test list and the tests execute with the rerun failed tests option, there is only a limited number of things that can happen.

1) a test may pass.

2) a test may fail once but pass the second time.

3) a test may fail twice.

4) a test may not run.

My suggestion is that, if these are the four types of result, report only this.

When you say this:

    Run Summary:  25 of 25 test(s) run; 22 passed, 3 failed, 0 not run.

there is ambiguity. It is not clear what happened. It could instead say:

    Run Summary: (#) test(s) run, (#) passed, (#) failed but then passed, (#) failed twice, (#) not run.

If the summary is in the second form, there is no ambiguity.