CVXPY
Minimize
  power(2.0 @ x, 2.0) + 1.0
Subject To
Bounds
 x free
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0
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 -4 x_1 = +0
 c4: + [ +1 soc_t_1 * soc_t_1 +1 soc_t_2 * soc_t_2 -1 soc_t_0 * soc_t_0 ] <= +0
Bounds
 x_0 free
 x_1 free
 soc_t_1 free
 soc_t_2 free
End
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SCIP
Minimize
 Obj: +1 x2
Subject to
 c1: +1 x2 + [ -4 x * x ] >= +1
Bounds
 x free
 x2 free
End