This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        4
Number of nonzeros in Lagrangian Hessian.............:        6

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        1
                     variables with only upper bounds:        1
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        2
        inequality constraints with only lower bounds:        2
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  5.8455101e+01 7.60e-01 1.01e+02 1.47e+00  -1.0     -   0.00e+00  0  0 
   1  5.6388667e+01 7.45e-01 9.87e+01 1.36e+00  -1.0    2.0  1.93e-02  1  1h
   2  2.2470901e+00 5.34e-01 7.18e+00 1.87e+00  -1.0     -   9.09e-01  1  1h
   3  2.7798977e+00 1.27e-01 1.08e+01 1.21e+00  -1.0     -   1.00e+00  1  1h
   4  1.2339215e+00 6.83e-03 3.27e+00 2.36e-01  -1.0     -   1.00e+00  1  1h
   5  1.4967209e+00 1.05e-02 1.51e+00 2.82e-01  -1.0     -   1.00e+00  1  1h
   6  1.3015773e+00 4.52e-03 6.11e-01 1.27e-01  -1.0     -   1.00e+00  1  1h
   7  1.0935686e+00 4.95e-03 6.60e-01 3.60e-02  -1.7     -   1.00e+00  1  1h
   8  1.0451914e+00 8.34e-05 1.31e-02 2.18e-02  -1.7     -   1.00e+00  1  1h
   9  1.0049703e+00 1.88e-04 2.45e-02 5.63e-03  -3.8     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.0013599e+00 1.10e-05 2.48e-05 1.48e-03  -3.8     -   1.00e+00  1  1h
  11  1.0002873e+00 2.83e-06 1.16e-06 3.72e-04  -5.7     -   1.00e+00  1  1h
  12  1.0000746e+00 7.04e-07 1.90e-09 9.39e-05  -5.7     -   1.00e+00  1  1h
  13  1.0000214e+00 1.73e-07 2.09e-11 2.44e-05  -5.7     -   1.00e+00  1  1h
  14  1.0000081e+00 3.99e-08 1.90e-11 7.06e-06  -5.7     -   1.00e+00  1  1h
  15  1.0000013e+00 1.35e-08 8.52e-10 1.77e-06  -8.6     -   1.00e+00  1  1h
  16  1.0000003e+00 3.37e-09 7.59e-14 4.43e-07  -8.6     -   1.00e+00  1  1h
  17  1.0000001e+00 8.37e-10 2.50e-14 1.12e-07  -8.6     -   1.00e+00  1  1h
  18  1.0000000e+00 2.05e-10 2.50e-14 2.92e-08  -8.6     -   1.00e+00  1  1h
  19  9.9999999e-01 4.68e-11 2.51e-14 8.62e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   6.6675556085713639e-01    9.9999999030688402e-01
Dual infeasibility......:   2.5056345887009002e-14    3.7579507566347361e-14
Constraint violation....:   4.6772908065517961e-11    4.6772908065517961e-11
Complementarity.........:   5.7463518754104601e-09    8.6183785438898754e-09
Overall NLP error.......:   8.6183785438898754e-09    8.6183785438898754e-09

Number of objective function evaluations              = 20
Number of objective gradient evaluations              = 20
Number of constraint evaluations                      = 20
Number of constraint Jacobian evaluations             = 20
Number of Lagrangian Hessian evaluations              = 19
Number of KKT factorizations                          = 23
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.029 s
Total wall secs                                       =  0.057 s

EXIT: Optimal Solution Found (tol = 1.0e-08).