CVXPY
Minimize
  Sum(Vstack(Promote(2.0, (2, 2)) * x, Promote(3.0, (1, 2)) * y, [[0.00 1.00]
 [2.00 3.00]]), None, False)
Subject To
 40: 1.0 <= x
 45: 1.0 <= y
Bounds
 x free
 y free
End
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AFTER COMPILATION
Minimize
  2 x_0 + 2 x_1 + 2 x_2 + 2 x_3 + 3 x_4 + 3 x_5
Subject To
 R0: - x_0 <= -1
 R1: - x_1 <= -1
 R2: - x_2 <= -1
 R3: - x_3 <= -1
 R4: - x_4 <= -1
 R5: - x_5 <= -1
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 x_4 free
 x_5 free
End
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GUROBI
Minimize
  2 x[0,0] + 2 x[0,1] + 2 x[1,0] + 2 x[1,1] + 3 y[0,0] + 3 y[0,1]
   + 6 Constant
Subject To
 40[0,0]: x[0,0] >= 1
 40[0,1]: x[0,1] >= 1
 40[1,0]: x[1,0] >= 1
 40[1,1]: x[1,1] >= 1
 45[0,0]: y[0,0] >= 1
 45[0,1]: y[0,1] >= 1
Bounds
 x[0,0] free
 x[0,1] free
 x[1,0] free
 x[1,1] free
 y[0,0] free
 y[0,1] free
 Constant = 1
End