The fastest way for applesauce is the microwave! I have a 4 cup Pyrex measuring cup. Cut bad spots out of apples, chunk 'em up, and nuke for five min. Dump in a big ole pot. do this til you get tired or bored, LOL! Then run the softened apples through the Victorio strainer, sweeten and spice to your taste, and can 'em up! If they are a bit thinner than I like I line my big metal strainer with a piece of clean sheeting and drain out some of the juice. DGS loves to drink the juice still warm!
When making apple butter, I put the sauce in the slow cooker on low with the lid just barely cracked. I usually put a small amount of spices in at the beginning, because as it thickens, the spices will concentrate. cook until it's as thick as you like, stirring whenever you think of it. (Probably should be every 15 min or so, but....... :shrug: doesn't happen that often, usually!) Taste, add more spices and sweetener to your taste. Then can it up and yyyyuuuummmm on toast!