CVXPY
Minimize
  PowerApprox(2.0 * x, 2.0) + PowerApprox(x, 2.0)
Subject To
Bounds
 x free
End
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AFTER COMPILATION
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_1>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_2>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_0>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_1>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_2>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_3>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_4>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_5>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>: <soc_t_0>[C] -<x_0>[C] == 1;
  [linear] <c2>: <soc_t_1>[C] -<x_0>[C] == -1;
  [linear] <c3>: <soc_t_2>[C] -4<x_2>[C] == 0;
  [nonlinear] <c4>: <soc_t_1>*<soc_t_1>+<soc_t_2>*<soc_t_2>-<soc_t_0>*<soc_t_0> <= 0;
  [linear] <c5>: <soc_t_3>[C] -<x_1>[C] == 1;
  [linear] <c6>: <soc_t_4>[C] -<x_1>[C] == -1;
  [linear] <c7>: <soc_t_5>[C] -2<x_2>[C] == 0;
  [nonlinear] <c8>: <soc_t_4>*<soc_t_4>+<soc_t_5>*<soc_t_5>-<soc_t_3>*<soc_t_3> <= 0;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x>: obj=0, original bounds=[-inf,+inf]
  [continuous] <x2>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [nonlinear] <c1>: <x2>-5*<x>*<x> >= 0;
END