CVXPY
Maximize
  Sum(x, None, False)
Subject To
 8: PowerApprox(x, 2.0) <= 1.0
Bounds
 0.0 <= x
End
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AFTER COMPILATION
Minimize
  - x_0 - x_1
Subject To
 R0: x_2 <= 1
 R1: x_3 <= 1
 R2: - x_2 + soc_t_2 = 1
 R3: - x_2 + soc_x_3 = -1
 R4: - 2 x_0 + soc_x_4 = 0
 R5: - x_3 + soc_t_5 = 1
 R6: - x_3 + soc_x_6 = -1
 R7: - 2 x_1 + soc_x_7 = 0
 qc0: [ - soc_t_2 ^2 + soc_x_3 ^2 + soc_x_4 ^2 ] <= 0
 qc1: [ - soc_t_5 ^2 + soc_x_6 ^2 + soc_x_7 ^2 ] <= 0
Bounds
 x_2 free
 x_3 free
 soc_x_3 free
 soc_x_4 free
 soc_x_6 free
 soc_x_7 free
End
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GUROBI
Maximize
  x[0] + x[1]
Subject To
 8[0]: [ x[0] ^2 ] <= 1
 8[1]: [ x[1] ^2 ] <= 1
Bounds
End