Boil apple cider in large skillet until reduced to 1/2 cup, about 18 minutes. Add cream; boil until slightly thickened, about 2 minutes. Transfer to bowl. Whisk in butter and both extracts. Cool slightly, then chill until cold, at least 1 hour. (Can be made 1 day ahead. Keep chilled.) Place 1 slice of cake on each plate. Top each with ice cream, sauce and nuts. Makes 4 servings. Bon Appetit November 1999 Per serving: 2287 Calories (kcal); 176g Total Fat; (67% calories from fat); 30g Protein; 164g Carbohydrate; 505mg Cholesterol; 327mg Sodium Food Exchanges: 1/2 Grain(Starch); 2 Lean Meat; 0 Vegetable; 6 Fruit; 34 Fat; 4 Other Carbohydrates Converted by MM_Buster v2.0n.