Make crust: Put oven rack in middle position and preheat oven to 350°F. Butter and flour pie plate, knocking out excess flour.
Toss together all crust ingredients in a bowl with a fork until crumbs are moistened, then press evenly over bottom and up side of pie plate. Bake crust 6 minutes, then cool on a rack.
Make filling: Increase oven temperature to 400°F.
Prick each sweet potato once with a fork. Roast in a foil-lined shallow baking pan until tender, about 1 hour. Remove from oven and reduce oven temperature to 375°F. Halve potatoes lengthwise and cool.
While potatoes cool, cook sugar in a dry 8-inch heavy skillet over moderate heat, undisturbed, until it begins to melt. Continue to cook, stirring occasionally with a fork, until sugar melts into a deep golden caramel. Remove from heat. Carefully pour water down side of skillet (mixture will bubble and steam vigorously), then return to heat and simmer, stirring, until hardened caramel is completely dissolved. Remove from heat.
When potatoes are cool enough to handle, peel, then cut away any eyes or dark spots. Purée potatoes in a food processor until smooth, then add eggs, cinnamon, and salt and blend until smooth. Add milk, caramel, rum, and vanilla, and blend until combined well.
Pour filling into crust. Bake until filling 2 inches from edge is slightly puffed and center trembles slightly when gently shaken, 40 to 50 minutes (top may crack; filling will continue to set as it cools). If the crust begins to brown too much before the filling is done, crimp a ring of foil or use a pie shield to protect it. Cool pie on rack about 1 hour.
Serve warm or at room temperature.
Cooks' notes:
Crust can be made 2 days ahead and cooled completely, then kept, covered with plastic wrap, at room temperature.
Sweet potatoes can be baked 1 day ahead and chilled, covered. Bring to room temperature before peeling.

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Nutrition Facts

Per Serving Per 100 g

Amount Per 1 Serving
Calories	361.08 Kcal (1512 kJ)
Calories from fat	144.74 Kcal
		% Daily Value*
Total Fat	16.08g	25%
Cholesterol	89.24mg	30%
Sodium	298.32mg	12%
Potassium	534.78mg	11%
Total Carbs	48.19g	16%
Sugars	18.74g	75%
Dietary Fiber	4.48g	18%
Protein	7.19g	14%
Vitamin C	2.3mg	4%
Vitamin A	1.2mg	41%
Iron	2.8mg	16%
Calcium	93.2mg	9%

Amount Per 100 g
Calories	173.56 Kcal (727 kJ)
Calories from fat	69.57 Kcal
		% Daily Value*
Total Fat	7.73g	25%
Cholesterol	42.89mg	30%
Sodium	143.39mg	12%
Potassium	257.05mg	11%
Total Carbs	23.16g	16%
Sugars	9.01g	75%
Dietary Fiber	2.15g	18%
Protein	3.45g	14%
Vitamin C	1.1mg	4%
Vitamin A	0.6mg	41%
Iron	1.3mg	16%
Calcium	44.8mg	9%

* Percent Daily Values are based on a 2000 calorie diet. Your daily values may be higher or lower depending on your calorie needs.
Find out how many calories should you eat.

Tastes

salty
savory
bitter
sweet

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