Aggregation stages for ensemble calculation

final.js

proj0 = {"$project":
            {
                "i": 1,
                "DEN_score": {"$sum": {"$cond": [{"$eq": ["$team", "DEN"]}, {"$multiply": [{"$subtract": [{"$divide": ["$yards", 80]}, "$turnovers"]}, 7]}, 0]}},
                "CAR_score": {"$sum": {"$cond": [{"$eq": ["$team", "CAR"]}, {"$multiply": [{"$subtract": [{"$divide": ["$yards", 80]}, "$turnovers"]}, 7]}, 0]}}
            }
        }
group0 = {"$group":
            {
                "_id": "$i",
                "DEN_score": {"$sum": "$DEN_score"},
                "CAR_score": {"$sum": "$CAR_score"}
            }
        }
proj1 = {"$project":
            {
                "DEN_score": 1,
                "DEN_win": {"$cond": [{"$gt": ["$DEN_score", "$CAR_score"]}, 1, 0]},
                "CAR_score": 1,
                "CAR_win": {"$cond": [{"$gt": ["$CAR_score", "$DEN_score"]}, 1, 0]}
            }
        }
group1 = {"$group":
            {
                "_id": 1,
                "DEN_avg_score": {"$avg": "$DEN_score"},
                "DEN_avg_score_std": {"$stdDevSamp": "$DEN_score"},
                "DEN_win_pct": {"$avg": "$DEN_win"},
                "CAR_avg_score": {"$avg": "$CAR_score"},
                "CAR_avg_score_std": {"$stdDevSamp": "$CAR_score"},
                "CAR_win_pct": {"$avg": "$CAR_win"}
            }
        }