Our Days are Constant Nightmares?

When we sleep, the assumption is that we dream. Everyone dreams - there's no question about that. It's as much an unspoken assumption as when we breathe, we breathe air. Now, when we have a particularly bad dream, it's called a nightmare. But, when we're awake and mentally wandering off, we're having a daydream. So, if a dream during the day is called a daydream (explicitly using that assumed word dream) and a bad dream at night is called a nightmare, does mare carry the same assumption as dream? If, when we're sleeping, it's assumed we're dreaming then, when awake, is it assumed we're mare-ing? Is it quite intentional that our waking lives are hellish affairs and the demons are merely working overtime?

The mare in nightmare is not a female horse, but a mara, an Anglo-Saxon and Old Norse term for a demon that sat on sleepers' chests, causing them to have bad dreams. Dialect variants ... include the forms mara, mahr, mahrt, mårt, and others. In High German, the demon who causes bad dreams is most often called an Alp, a word that is etymologically related to elf. A mare-induced bad dream is called a nightmare in English, martröð (mare-ride) in Anglo-Saxon and Icelandic, mareridt (mare-ride) in Danish, mareritt (mare-ride) in Norwegian, and Alpdruck (alp-pressure) or Alptraum (alp-dream) in German. (Source: Night-Mares: Demons that Cause Nightmares)