Restful dreams

Which phase of one's sleep is most restful ?  And are dreams conducive to rest or not ?

Conventional knowledge attributes rest to NREM ( non rapid eye movement) phases. 

However, based on my personal experience over decades, I wake up very fresh after a hectic bout of dreaming that occurs in  the REM phase. 

The brain is most active in this phase and there is lot of eye movement.

 Could this mean that keeping the brain active is more restful than stressful ? Even in sleep ??? 

 Certainly it seems so, at least from my experience. Wonder whether  others have experienced this !