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1
Preheat oven to 425F.
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2
Roll out puff pastry sheet on lightly floured surface to 12-inch square.
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3
Transfer to 9-inch-diameter tart pan with removable bottom.
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4
Trim overhang to 1 inch.
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5
Fold in overhang to form double-thick high-standing sides.
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6
Pierce pastry all over with fork.
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7
Freeze pastry shell 15 minutes.
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8
Line shell with foil and beans or pie weights.
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9
Bake until sides are set, about 20 minutes.
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10
Remove foil and beans.
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11
Bake until bottom is golden, about 8 minutes longer.
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12
Cool pastry shell.
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13
Place apples, 1/4 cup water and 2 tablespoons sugar in heavy medium saucepan.
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14
Simmer over medium heat until mixture is reduced to 1 1/4 cups, stirring and breaking up apples with back of spoon, about 5 minutes.
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15
Set aside.
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16
Cook fennel in large saucepan of boiling, lightly salted water until tender, about 10 minutes.
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17
Remove from heat; drain fennel well.
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18
Melt butter in heavy large skillet over medium heat.
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19
Stir in 3/4 cup sugar.
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20
Cook until sugar dissolves and mixture is dark amber, stirring frequently, about 14 minutes.
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21
Stir in drained fennel (caramel mixture will harden).
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22
Cover; cook until caramel melts, stirring occasionally, about 15 minutes.
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23
Uncover and simmer until caramel thickens, about 5 minutes longer (fennel will be very tender).
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24
(Pastry shell, apple compote and caramelized fennel can be made 1 day ahead.
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25
Cover separately.
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26
Refrigerate apple and fennel mixtures; store pastry shell airtight at room temperature.)
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27
Preheat oven to 425F.
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28
Spread apple compote evenly over bottom of pastry shell.
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29
Arrange caramelized fennel evenly over compote.
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30
Sprinkle tart with aniseed.
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31
Bake until warmed through, about 15 minutes.
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32
Serve with vanilla ice cream.