Decadent Bread Pudding with Rum Sauce

Name: Decadent Bread Pudding with Rum Sauce
Prep time: 20 min
Cook time: 2 h
Total time: 2 h 20 min
Cuisine: American
Ingredients: 1 Cup Pecan Halves (toasted); 1 Each French Bread (large and stale, cut into 1" cubes); 1-1/2 Cups Granulated Sugar; 2 teaspoons Apple Pie Spice; 1 Pinch Salt; 6 Each Large Eggs; 1 Quart Heavy Whipping Cream; 1 (14 Ounce) Can Sweetened Condensed Milk; 1 (12 Ounce) Can Evaporated Milk; 8 Tablespoons Unsalted Butter (melted); 2 teaspoons Vanilla Extract; 8 Tablespoons Unsalted Butter; 3/4 Cup Half and Half; 1 Cup Granulated Sugar; 2 Each Egg Yolks (lightly beaten); 1/3 Cup Spiced Dark Rum