CVXPY
Minimize
  norm_inf(x) + norm_inf([ 1.00001 -0.99999])
Subject To
Bounds
 x free
End
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AFTER COMPILATION
Minimize
  C0
Subject To
 R0: - C0 + C1 <= 0
 R1: - C0 + C2 <= 0
 R2: - C0 - C1 <= 0
 R3: - C0 - C2 <= 0
Bounds
 C0 free
 C1 free
 C2 free
End
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GUROBI
Minimize
  0 x[0] + 0 x[1] + norminf_1 + 1.00001 Constant
Subject To
Bounds
 x[0] free
 x[1] free
 Constant = 1
General Constraints
 GC0: norminf_1 = NORM ( Inf ) ( x[0] , x[1] )
End