To stabilize the footage, I have to press the Analyze button several times.

Hi Paul,

Thanks for the post. I have heard about this problem being worked on by the team. Here are some steps that might be able to assist you.

Reset Media Cache:

Launch the application pressing down the Shift key. The Reset Options dialog gives you the opportunity to delete the Media Cache. 

Avoid Presets:

Apply Warp Stabilizer manually instead of using saved presets.

Reimport and Reapply:

Export the clip, reimport it, and apply Warp Stabilizer fresh.

Disable Overlapping Tracks:

Ensure no other clips are stacked above the one being stabilized.

Let me know if any of these steps help. Sorry for the hassle.

Thanks,
Kevin