CVXPY
Minimize
  norm1(x) + norm1([ 1.00001 -0.99999])
Subject To
Bounds
 x free
End
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AFTER COMPILATION
Minimize
  C0 + C1
Subject To
 R0: - C0 + C2 <= 0
 R1: - C1 + C3 <= 0
 R2: - C0 - C2 <= 0
 R3: - C1 - C3 <= 0
Bounds
 C0 free
 C1 free
 C2 free
 C3 free
End
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GUROBI
Minimize
  0 x[0] + 0 x[1] + norm1_1 + 2 Constant
Subject To
Bounds
 x[0] free
 x[1] free
 Constant = 1
General Constraints
 GC0: norm1_1 = NORM ( 1 ) ( x[0] , x[1] )
End