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

Number of nonzeros in constraint Jacobian............:    30781
Number of nonzeros in Lagrangian Hessian.............:     2400

Total number of variables............................:     4000
                     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...............:     4000
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     4000
        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 1.20e+01 0.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  1.0000000e+00 1.20e+01 4.60e-08 1.00e-06  -1.0     -   1.00e-07  1  2h
   2  1.0000000e+00 9.00e+00 2.01e-14 1.00e-06  -1.0     -   2.50e-01  2  3h
   3  1.0000000e+00 1.25e+01 8.14e-15 1.00e-06  -1.0     -   5.00e-01  3  2h
   4  1.0000000e+00 1.73e+01 5.04e-14 1.00e-06  -1.0     -   1.00e+00  3  1h
   5  1.0000000e+00 5.55e-02 1.63e-14 1.00e-06  -1.0     -   1.00e+00  3  1h
   6  1.0000000e+00 3.03e-07 3.63e-10 1.00e-06  -2.5     -   1.00e+00  2  1h
   7  1.0000000e+00 2.49e-14 8.07e-11 2.51e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 7

                                   (scaled)                 (unscaled)
Objective...............:   1.0000000000000000e+00    1.0000000000000000e+00
Dual infeasibility......:   8.0709490780646147e-11    8.0709490780646147e-11
Constraint violation....:   2.4868995752283710e-14    2.4868995752283710e-14
Complementarity.........:   2.5059035600931078e-09    2.5059035600931078e-09
Overall NLP error.......:   2.5059035600931078e-09    2.5059035600931078e-09

Number of objective function evaluations              = 14
Number of objective gradient evaluations              = 8
Number of constraint evaluations                      = 14
Number of constraint Jacobian evaluations             = 8
Number of Lagrangian Hessian evaluations              = 7
Number of KKT factorizations                          = 7
Number of KKT backsolves                              = 22

Total wall secs in initialization                     =  0.034 s
Total wall secs in linear solver                      =  0.017 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.025 s
Total wall secs                                       =  0.080 s

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