Beat butter and peanut butter at medium speed with an electric mixer until creamy; gradually add sugars, beating well. Add eggs, beating well. Combine flour, soda and salt in a medium bowl; add to batter mixture, beating well. Stir in vanilla. Cover and chill 3 hours. Shape into 1 1/4 inch balls; place 3 inches apart on ungreased cookie sheets. Dip a fork in additional sugar; flatten cookies in a crisscross design. Bake at 375 degrees for 7 to 8 minutes. Remove to wire racks to cool.
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