CVXPY
Minimize
  QuadForm(Hstack(x, [1. 2.]), [[1.00 0.00 0.00 0.00]
 [0.00 1.00 0.00 0.00]
 [0.00 0.00 1.00 0.00]
 [0.00 0.00 0.00 1.00]])
Subject To
Bounds
 x free
End
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AFTER COMPILATION
Minimize
 [ 2 C0 ^2 + 2 C1 ^2 + 2 C2 ^2 + 2 C3 ^2 ] / 2 
Subject To
 R0: - C0 + C4 = 0
 R1: - C1 + C5 = 0
 R2: - C2 = -1
 R3: - C3 = -2
Bounds
 C0 free
 C1 free
 C2 free
 C3 free
 C4 free
 C5 free
End
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GUROBI
Minimize
  + 5 Constant + [ 2 x[0] ^2 + 2 x[1] ^2 ] / 2 
Subject To
Bounds
 x[0] free
 x[1] free
 Constant = 1
End