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

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:   209790

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...............:        0
        inequality constraints with only lower bounds:        0
   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  9.0314095e+32 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  1.7840477e+32 0.00e+00 2.96e+01 0.00e+00  -1.0   -4.0  1.00e+00  1  1f
   2  3.5241434e+31 0.00e+00 8.78e+00 0.00e+00  -1.0   -4.5  1.00e+00  1  1f
   3  6.9614194e+30 0.00e+00 2.60e+00 0.00e+00  -1.0   -5.0  1.00e+00  1  1f
   4  1.3751178e+30 0.00e+00 7.71e-01 0.00e+00  -1.0   -5.4  1.00e+00  1  1f
   5  2.7163168e+29 0.00e+00 2.28e-01 0.00e+00  -1.7   -5.9  1.00e+00  1  1f
   6  5.3656186e+28 0.00e+00 6.77e-02 0.00e+00  -1.7   -6.4  1.00e+00  1  1f
   7  1.0598840e+28 0.00e+00 2.00e-02 0.00e+00  -2.5   -6.9  1.00e+00  1  1f
   8  2.0936125e+27 0.00e+00 5.94e-03 0.00e+00  -3.8   -7.3  1.00e+00  1  1f
   9  4.1355556e+26 0.00e+00 1.76e-03 0.00e+00  -3.8   -7.8  1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  8.1690430e+25 0.00e+00 5.22e-04 0.00e+00  -3.8   -8.3  1.00e+00  1  1f
  11  1.6136464e+25 0.00e+00 1.55e-04 0.00e+00  -5.7   -8.8  1.00e+00  1  1f
  12  3.1874656e+24 0.00e+00 4.58e-05 0.00e+00  -5.7   -9.2  1.00e+00  1  1f
  13  6.2962606e+23 0.00e+00 1.36e-05 0.00e+00  -5.7   -9.7  1.00e+00  1  1f
  14  1.2437125e+23 0.00e+00 4.02e-06 0.00e+00  -8.6  -10.2  1.00e+00  1  1f
  15  2.4567302e+22 0.00e+00 1.19e-06 0.00e+00  -8.6  -10.7  1.00e+00  1  1f
  16  4.8528311e+21 0.00e+00 3.53e-07 0.00e+00  -8.6  -11.2  1.00e+00  1  1f
  17  9.5859060e+20 0.00e+00 1.05e-07 0.00e+00  -8.6  -11.6  1.00e+00  1  1f
  18  1.8935270e+20 0.00e+00 3.10e-08 0.00e+00  -8.6  -12.1  1.00e+00  1  1f
  19  3.7403327e+19 0.00e+00 9.18e-09 0.00e+00  -8.6  -12.6  1.00e+00  1  1f

Number of Iterations....: 19

                                   (scaled)                 (unscaled)
Objective...............:   1.8866188863829680e-09    3.7403326979940049e+19
Dual infeasibility......:   9.1793507342490360e-09    1.8198601713084655e+20
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   4.6300524200040974e-37    9.1793507342490360e-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                          = 38
Number of KKT backsolves                              = 19

Total wall secs in initialization                     =  0.087 s
Total wall secs in linear solver                      =  0.047 s
Total wall secs in NLP function evaluations           =  0.025 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.011 s
Total wall secs                                       =  0.169 s

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