CVXPY
Minimize
  quad_over_lin(x, 1.0)
Subject To
 17: quad_over_lin(x, 1.0) <= 1.0
Bounds
 x free
End
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AFTER COMPILATION
Minimize
 Obj: +1 x_0
Subject to
 c1: +1 x_3 <= +1
 c2: +1 soc_t_1 -1 x_0 = +1
 c3: +1 soc_t_2 +1 x_0 = +1
 c4: +1 soc_t_3 -2 x_1 = +0
 c5: +1 soc_t_4 -2 x_2 = +0
 c6: + [ +1 soc_t_2 * soc_t_2 +1 soc_t_3 * soc_t_3 +1 soc_t_4 * soc_t_4 -1 soc_t_1 * soc_t_1 ] <= +0
 c7: +1 soc_t_5 -1 x_3 = +1
 c8: +1 soc_t_6 +1 x_3 = +1
 c9: +1 soc_t_7 -2 x_1 = +0
 c10: +1 soc_t_8 -2 x_2 = +0
 c11: + [ +1 soc_t_6 * soc_t_6 +1 soc_t_7 * soc_t_7 +1 soc_t_8 * soc_t_8 -1 soc_t_5 * soc_t_5 ] <= +0
Bounds
 x_0 free
 x_1 free
 x_2 free
 x_3 free
 soc_t_2 free
 soc_t_3 free
 soc_t_4 free
 soc_t_6 free
 soc_t_7 free
 soc_t_8 free
End
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SCIP
Minimize
 Obj: +1 x3
Subject to
 c1: +1 x3 + [ -1 x_0 * x_0 -1 x_1 * x_1 ] >= +0
 17: + [ +1 x_0 * x_0 +1 x_1 * x_1 ] <= +1
Bounds
 x_0 free
 x_1 free
 x3 free
End