Instructions:
Preheat oven to 350°F. Line a 10x15-inch jelly roll pan with parchment paper extending 1 inch above sides; spray with nonstick spray.
In a medium bowl, whisk flour, baking powder, cinnamon, ginger, nutmeg, and cloves.
In a large bowl, beat eggs on high speed 5 min until thick. Add sugar and vanilla; beat 1 min.
Fold in dry mixture, then stir in grated carrots.
Spread evenly in pan; bake 10–12 min until a toothpick comes out clean.
Dust a kitchen towel with powdered sugar. Turn hot cake onto towel, remove parchment, and roll up from a short end. Cool 1 hr.
Beat cream cheese and butter until smooth. Add vanilla and powdered sugar; mix until creamy.
Unroll cooled cake, spread frosting evenly, and reroll. Place seam side down on plate.
Chill 30 min before slicing; dust with powdered sugar.