CVXPY
Minimize
  power(x, 2.0) + power(y, 2.0)
Subject To
Bounds
 x free
 y free
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0 +1 x_1
Subject to
 c1: +1 soc_t_0 -1 x_0 = +1
 c2: +1 soc_t_1 -1 x_0 = -1
 c3: +1 soc_t_2 -2 x_2 = +0
 c4: + [ +1 soc_t_1 * soc_t_1 +1 soc_t_2 * soc_t_2 -1 soc_t_0 * soc_t_0 ] <= +0
 c5: +1 soc_t_3 -1 x_1 = +1
 c6: +1 soc_t_4 -1 x_1 = -1
 c7: +1 soc_t_5 -2 x_3 = +0
 c8: + [ +1 soc_t_4 * soc_t_4 +1 soc_t_5 * soc_t_5 -1 soc_t_3 * soc_t_3 ] <= +0
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 soc_t_1 free
 soc_t_2 free
 soc_t_4 free
 soc_t_5 free
End
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SCIP
Minimize
 Obj: +1 x3
Subject to
 c1: +1 x3 + [ -1 x * x -1 y * y ] >= +0
Bounds
 x free
 y free
 x3 free
End