In a large mixing bowl, cream the butter with salt and vanilla. Add in sugars and beat well until mixture is smooth. Add eggs and mix well.
Add baking soda and half of the flour. Beat batter after each addition.
Fold in chocolate chips, chopped pistachios and chopped dried cherries. Mix with spoon until distributed throughout.
Refrigerate dough for 1-2 hours until well chilled.
Preheat oven to 375 degrees and line cookie sheets with parchment paper. Using a large tablespoon, scoop dough and roll into balls. Using hands, gently flatten dough balls into a disk shape.
Place on cookie sheet and bake for 11 minutes. Remove cookies from oven and let cool, on cookie sheet, for 2 minutes. Remove to rack to cool completely.