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

Number of nonzeros in constraint Jacobian............:    15000
Number of nonzeros in Lagrangian Hessian.............:    25000

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...............:     5000
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:     5000
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  2.5000000e+03 1.00e+00 1.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  2.4999975e+03 1.00e+00 1.53e-04 1.00e-06  -1.7     -   5.00e-07  1  2h
   2  2.8383922e+03 3.68e-01 2.76e-05 1.00e-06  -1.7     -   1.00e+00 10  1h
   3  1.0041574e+04 1.35e-01 6.94e-05 1.00e-06  -1.7     -   1.00e+00  7  1h
   4  2.2476842e+04 4.98e-02 7.95e-04 1.00e-06  -2.5     -   1.00e+00  3  1h
   5  3.9859783e+04 1.83e-02 1.05e-03 1.00e-06  -2.5     -   1.00e+00  4  1h
   6  6.1922505e+04 6.74e-03 2.38e-02 1.01e-06  -3.8     -   1.00e+00  2  1h
   7  8.7838789e+04 2.48e-03 2.72e-02 9.99e-07  -3.8     -   1.00e+00  2  1h
   8  1.1486308e+05 1.04e-03 2.87e-02 9.92e-07  -3.8     -   1.00e+00  2  1h
   9  1.3346135e+05 6.39e-04 1.10e-02 9.60e-07  -3.8     -   1.00e+00  2  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  1.3479807e+05 2.86e-05 8.33e-04 9.39e-07  -3.8     -   1.00e+00  2  1h
  11  1.3484994e+05 4.38e-08 6.49e-02 1.09e-06  -5.7     -   1.00e+00  2  1h
  12  1.3485026e+05 1.76e-12 1.47e-02 2.83e-07  -5.7     -   1.00e+00  1  1h
  13  1.3485025e+05 3.55e-15 1.14e-10 8.30e-08  -5.7     -   1.00e+00  1  1f
  14  1.3485024e+05 1.60e-15 8.35e-06 2.12e-08  -8.6     -   1.00e+00  2  1f
  15  1.3485024e+05 1.53e-15 2.41e-06 5.95e-09  -8.6     -   1.00e+00  1  1f
  16  1.3485024e+05 1.57e-15 6.36e-07 1.61e-09  -8.6     -   1.00e+00  1  1f
  17  1.3485024e+05 1.55e-15 1.18e-07 2.87e-10  -8.6     -   1.00e+00  1  1h
  18  1.3485024e+05 1.49e-15 3.63e-13 7.12e-11  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 18

                                   (scaled)                 (unscaled)
Objective...............:   1.3485024467749140e+05    1.3485024467749140e+05
Dual infeasibility......:   3.6344724100804905e-13    3.6344724100804905e-13
Constraint violation....:   1.4926711504724350e-15    1.4926711504724350e-15
Complementarity.........:   7.1230421985840717e-11    7.1230421985840717e-11
Overall NLP error.......:   7.1230421985840717e-11    7.1230421985840717e-11

Number of objective function evaluations              = 20
Number of objective gradient evaluations              = 19
Number of constraint evaluations                      = 20
Number of constraint Jacobian evaluations             = 19
Number of Lagrangian Hessian evaluations              = 18
Number of KKT factorizations                          = 18
Number of KKT backsolves                              = 45

Total wall secs in initialization                     =  0.032 s
Total wall secs in linear solver                      =  0.028 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.034 s
Total wall secs                                       =  0.098 s

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