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

Number of nonzeros in constraint Jacobian............:    39992
Number of nonzeros in Lagrangian Hessian.............:   129974

Total number of variables............................:    10000
                     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...............:     9998
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     9998
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  3.1124458e+06 4.20e+01 1.00e+02 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  3.1124449e+06 4.20e+01 1.50e-03 1.00e-06  -1.0     -   1.00e-07  2  2h
   2  1.1132924e+06 1.11e+03 2.60e-02 1.00e-06  -1.0   -4.0  1.00e+00  2  1h
   3  2.2944873e+06 3.10e+02 1.47e+00 1.00e-06  -1.0     -   1.00e+00 10  1h
   4  5.4597182e+05 8.81e+01 4.03e-01 1.00e-06  -1.0     -   1.00e+00 10  1h
   5  1.6485037e+05 3.02e+01 1.05e-01 1.00e-06  -1.0     -   1.00e+00 10  1h
   6  6.3830030e+04 9.79e+00 2.94e-02 1.00e-06  -1.0    2.7  1.00e+00  2  1h
   7  5.3626392e+04 1.65e+01 6.44e-03 1.00e-06  -1.0     -   1.00e+00 10  1f
   8  5.0203957e+04 5.08e+00 2.12e-03 1.00e-06  -1.0     -   1.00e+00 10  1f
   9  4.8591957e+04 6.00e+00 1.02e-02 1.00e-06  -1.0     -   1.00e+00 10  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  4.8608515e+04 5.06e+00 8.06e-03 1.00e-06  -1.0    2.3  2.50e-01  2  3h
  11  4.8576720e+04 2.23e+00 1.34e+00 1.00e-06  -1.0    3.6  1.00e+00  2  1h
  12  4.8585502e+04 6.11e-01 8.23e-02 1.00e-06  -1.0    3.1  1.00e+00  1  1h
  13  4.8569899e+04 3.50e-02 1.52e-02 1.00e-06  -1.7     -   1.00e+00 10  1h
  14  4.8569753e+04 1.10e-04 7.72e-04 1.00e-06  -2.5    2.6  1.00e+00  1  1h
  15  4.8563693e+04 3.53e-02 1.97e-01 1.00e-06  -5.7     -   1.00e+00 10  1f
  16  4.8559403e+04 3.02e-02 1.29e-01 1.00e-06  -5.7     -   1.00e+00  3  1h
  17  4.8555295e+04 4.30e-01 1.07e-01 1.00e-06  -5.7     -   1.00e+00  3  1h
  18  4.8554818e+04 1.92e-01 1.94e-02 1.00e-06  -5.7     -   1.00e+00  3  1h
  19  4.8554911e+04 1.49e-04 8.77e-04 1.00e-06  -5.7     -   1.00e+00  3  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  20  4.8554911e+04 9.85e-07 4.08e-07 1.00e-06  -5.7     -   1.00e+00  3  1h
  21  4.8554911e+04 4.38e-12 2.02e-12 2.92e-09  -8.6     -   1.00e+00  2  1h

Number of Iterations....: 21

                                   (scaled)                 (unscaled)
Objective...............:   8.5940902323230284e+02    4.8554910853513713e+04
Dual infeasibility......:   2.0187948535088651e-12    1.1405791828317731e-10
Constraint violation....:   4.3787747197176414e-12    4.3787747197176414e-12
Complementarity.........:   5.1649835121519281e-11    2.9181135782026393e-09
Overall NLP error.......:   2.9181135782026393e-09    2.9181135782026393e-09

Number of objective function evaluations              = 26
Number of objective gradient evaluations              = 22
Number of constraint evaluations                      = 26
Number of constraint Jacobian evaluations             = 22
Number of Lagrangian Hessian evaluations              = 21
Number of KKT factorizations                          = 37
Number of KKT backsolves                              = 121

Total wall secs in initialization                     =  0.030 s
Total wall secs in linear solver                      =  0.065 s
Total wall secs in NLP function evaluations           =  0.017 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.039 s
Total wall secs                                       =  0.151 s

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