CVXPY
Minimize
  PowerApprox(2.0 * x, 2.0) + 1.0
Subject To
Bounds
 x free
End
----------------------------------------
AFTER COMPILATION
OBJECTIVE
  Sense            : minimize
VARIABLES
  [continuous] <x_0>: obj=1, original bounds=[-inf,+inf]
  [continuous] <x_1>: 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]
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_1>[C] == 0;
  [nonlinear] <c4>: <soc_t_1>*<soc_t_1>+<soc_t_2>*<soc_t_2>-<soc_t_0>*<soc_t_0> <= 0;
END
----------------------------------------
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>-4*<x>*<x> >= 1;
END