CVXPY
Minimize
  PowerApprox(x, 2.0) + PowerApprox(y, 2.0)
Subject To
Bounds
 0.0 <= x
 0.0 <= y
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] <x_3>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_2>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_3>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_4>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_5>: obj=0, original bounds=[0,+inf]
  [continuous] <soc_t_6>: obj=0, original bounds=[-inf,+inf]
  [continuous] <soc_t_7>: obj=0, original bounds=[-inf,+inf]
CONSTRAINTS
  [linear] <c1>:  -<x_2>[C] <= 0;
  [linear] <c2>:  -<x_3>[C] <= 0;
  [linear] <c3>: <soc_t_2>[C] -<x_0>[C] == 1;
  [linear] <c4>: <soc_t_3>[C] -<x_0>[C] == -1;
  [linear] <c5>: <soc_t_4>[C] -2<x_2>[C] == 0;
  [nonlinear] <c6>: <soc_t_3>*<soc_t_3>+<soc_t_4>*<soc_t_4>-<soc_t_2>*<soc_t_2> <= 0;
  [linear] <c7>: <soc_t_5>[C] -<x_1>[C] == 1;
  [linear] <c8>: <soc_t_6>[C] -<x_1>[C] == -1;
  [linear] <c9>: <soc_t_7>[C] -2<x_3>[C] == 0;
  [nonlinear] <c10>: <soc_t_6>*<soc_t_6>+<soc_t_7>*<soc_t_7>-<soc_t_5>*<soc_t_5> <= 0;
END
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SCIP
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x>: obj=0, original bounds=[0,+inf]
  [continuous] <y>: obj=0, original bounds=[0,+inf]
  [continuous] <x3>: obj=1, original bounds=[-inf,+inf]
CONSTRAINTS
  [nonlinear] <c1>: <x3>-<x>*<x>-<y>*<y> >= 0;
END