The trouble with Autosol is it's too grainy and can damage chrome that you only need to bring back to a high shine - autosol is more for old car pars that don't need a show shine polish up
PEEK and MOTHERS do a far better job as it's a smoother compound and used right will bring up chrome and such like to a higher shine/mirror look
Also using the right type of polishing cloth will help - the car polish rag with bigger holes is great as it allows the polish cream to move about and not dry to a hard spot that can be found using a tight weave cloth - this can cause it to scuff and line the chrome just when you don't need it
Cheers B