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

Number of nonzeros in constraint Jacobian............:        2
Number of nonzeros in Lagrangian Hessian.............:        7

Total number of variables............................:        2
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        2
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        1
        inequality constraints with only lower bounds:        1
   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  8.5615127e+01 0.00e+00 1.00e+00 2.41e+02  -1.0     -   0.00e+00  0  0 
   1  8.5276019e+01 4.78e-02 3.69e-01 8.83e+01  -1.0     -   1.00e+00  1  1f
   2  8.4837394e+01 5.49e-02 7.05e-01 8.83e-01  -1.0    0.0  1.00e+00  1  1h
   3  8.2550095e+01 8.55e-01 9.55e-01 4.69e-01  -1.7   -0.5  1.00e+00  1  1h
   4  2.4049278e+01 4.68e+02 8.90e-01 4.03e-01  -1.7   -1.0  1.00e+00  1  1h
   5  9.0485464e+00 3.92e+01 3.34e+00 1.75e-01  -1.7   -0.5  1.00e+00  1  1h
   6  3.7068252e+00 1.87e+01 8.57e-01 2.41e-02  -1.7   -1.0  1.00e+00  1  1h
   7 -4.1394853e+00 2.91e+02 1.18e+00 2.00e-02  -1.7   -1.5  1.00e+00  1  1h
   8 -6.6455129e+00 3.84e+01 1.51e-01 2.00e-02  -1.7   -2.0  1.00e+00  1  1h
   9 -6.6348645e+00 1.45e+00 1.15e-02 2.00e-02  -1.7   -2.4  1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -6.6399825e+00 1.23e-03 3.35e-03 2.00e-02  -1.7   -2.9  1.00e+00  1  1h
  11 -6.6721809e+00 1.59e-03 3.67e-03 8.78e-04  -3.8   -3.4  1.00e+00  1  1h
  12 -6.8097196e+00 9.68e-03 4.53e-03 2.38e-04  -3.8   -3.9  1.00e+00  1  1h
  13 -8.1976269e+00 1.46e-01 2.35e-02 1.50e-04  -3.8   -4.3  8.22e-01  1  1h
  14 -8.1979147e+00 1.46e-01 2.35e-02 1.70e-04  -3.8     -   3.07e-04  1  1h
  15 -8.1979886e+00 6.38e-03 3.72e-05 1.50e-04  -3.8     -   1.00e+00  1  1h
  16 -8.1978936e+00 4.80e-08 6.53e-11 1.50e-04  -3.8     -   1.00e+00  1  1h
  17 -8.1980422e+00 6.48e-09 2.24e-10 1.85e-06  -5.7     -   1.00e+00  1  1h
  18 -8.1980441e+00 1.03e-12 2.84e-14 2.51e-09  -8.6     -   1.00e+00  1  1h

Number of Iterations....: 18

                                   (scaled)                 (unscaled)
Objective...............:  -8.1980440531082195e+00   -8.1980440531082195e+00
Dual infeasibility......:   2.8393953854788379e-14    2.8393953854788379e-14
Constraint violation....:   1.0322960476878695e-12    1.0322960476878695e-12
Complementarity.........:   2.5064053615576699e-09    2.5064053615576699e-09
Overall NLP error.......:   2.5064053615576699e-09    2.5064053615576699e-09

Number of objective function evaluations              = 19
Number of objective gradient evaluations              = 19
Number of constraint evaluations                      = 19
Number of constraint Jacobian evaluations             = 19
Number of Lagrangian Hessian evaluations              = 18
Number of KKT factorizations                          = 33
Number of KKT backsolves                              = 18

Total wall secs in initialization                     =  0.015 s
Total wall secs in linear solver                      =  0.010 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.025 s
Total wall secs                                       =  0.053 s

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