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.............:        4

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

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.0000000e+00 4.01e+00 2.00e+00 1.00e-02  -1.0     -   0.00e+00  0  0 
   1  9.9999983e-01 4.01e+00 5.00e-05 1.50e-06  -1.0     -   1.00e-07  1  2h
   2  5.8310712e-01 9.11e-01 2.02e-05 1.81e-06  -1.0     -   1.00e+00  4  1h
   3  7.0612497e-01 5.12e-01 5.94e-05 1.50e-06  -1.7     -   4.42e-01  4  1h
   4  1.3338201e+00 5.00e-02 3.26e-05 2.00e-06  -1.7     -   1.00e+00  3  1h
   5  1.3874434e+00 3.32e-03 1.91e-05 1.50e-06  -2.5     -   9.39e-01  2  1h
   6  1.3936098e+00 3.19e-06 1.03e-06 1.50e-06  -3.8     -   1.00e+00  2  1h
   7  1.3934650e+00 1.76e-09 8.77e-09 1.59e-08  -8.6     -   1.00e+00  2  1h
   8  1.3934649e+00 1.52e-16 8.88e-16 1.82e-09  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 8

                                   (scaled)                 (unscaled)
Objective...............:   1.3934649471884248e+00    1.3934649471884248e+00
Dual infeasibility......:   8.8817841970012523e-16    8.8817841970012523e-16
Constraint violation....:   1.5178219955504998e-16    1.5178219955504998e-16
Complementarity.........:   1.8172765802692579e-09    1.8172765802692579e-09
Overall NLP error.......:   1.8172765802692579e-09    1.8172765802692579e-09

Number of objective function evaluations              = 10
Number of objective gradient evaluations              = 9
Number of constraint evaluations                      = 10
Number of constraint Jacobian evaluations             = 9
Number of Lagrangian Hessian evaluations              = 8
Number of KKT factorizations                          = 8
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.002 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.015 s
Total wall secs                                       =  0.043 s

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