Cook apples with butter in a skillet until tender. Transfer to a bowl and let cool.

Mix flour and yeast in a stand mixer bowl fitted with a dough hook.

Heat butter, milk, potato, sugar, and salt in a saucepan until just warm. Pour into the mixer bowl. Add eggs.

Mix dough at low speed for 30 seconds, then at high speed for 3 minutes. Add remaining flour and knead for 3 minutes.

Form dough into a ball and let rise in a greased bowl until doubled in size, about 45 to 60 minutes.

Punch dough down, let rest for 10 minutes. Prepare filling by mixing brown sugar and apple pie spice.

Roll dough into a rectangle, spread with butter, sprinkle filling and apples, then roll it and cut into 12 pieces. Arrange rolls in greased pan and let rise until nearly doubled in size.

Pour heavy cream over rolls and bake at 375°F for 23 to 28 minutes.

Prepare frosting by beating cream cheese, butter, vanilla, apple pie spice, and salt. Add confectioners sugar and milk until smooth.