 
 ====================
  bobyqa_test
 ====================
 


     2D output with M =   5,  N =  10  and  NPT =  16

    New RHO = 1.0000D-02     Number of function values =    36
    Least value of F =  5.680729791421956D+00         The corresponding X is:
     2.221147D-01   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   3.265332D-01

    New RHO = 1.0000D-03     Number of function values =    60
    Least value of F =  5.680354430001146D+00         The corresponding X is:
     2.603234D-01   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   2.612788D-01

    New RHO = 1.0000D-04     Number of function values =    73
    Least value of F =  5.680353929615947D+00         The corresponding X is:
     2.606974D-01   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   2.615739D-01

    New RHO = 1.0000D-05     Number of function values =    88
    Least value of F =  5.680353888456104D+00         The corresponding X is:
     2.613393D-01   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   2.611534D-01

    New RHO = 1.0000D-06     Number of function values =   108
    Least value of F =  5.680353888084572D+00         The corresponding X is:
     2.612445D-01   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   2.612493D-01

    At the return from BOBYQA     Number of function values =   123
    Least value of F =  5.680353888084284D+00         The corresponding X is:
     2.612471D-01   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   2.612470D-01


     2D output with M =   5,  N =  10  and  NPT =  21

    New RHO = 1.0000D-02     Number of function values =    44
    Least value of F =  5.608887796858023D+00         The corresponding X is:
     1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   9.776403D-01  -1.000000D+00   1.000000D+00  -1.767038D-13

    New RHO = 1.0000D-03     Number of function values =    59
    Least value of F =  5.601550934818603D+00         The corresponding X is:
     1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -2.938660D-03

    New RHO = 1.0000D-04     Number of function values =    73
    Least value of F =  5.601533980345714D+00         The corresponding X is:
     1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -6.445101D-05

    New RHO = 1.0000D-05     Number of function values =    78
    Least value of F =  5.601533972186777D+00         The corresponding X is:
     1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   3.999974D-07

    New RHO = 1.0000D-06     Number of function values =    91
    Least value of F =  5.601533972186777D+00         The corresponding X is:
     1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   3.999974D-07

    At the return from BOBYQA     Number of function values =    98
    Least value of F =  5.601533972186465D+00         The corresponding X is:
     1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   1.916017D-10


     2D output with M =  10,  N =  20  and  NPT =  26

    New RHO = 1.0000D-02     Number of function values =    34
    Least value of F =  3.291200620948098D+01         The corresponding X is:
     1.000000D+00   8.283285D-01   3.605841D-01   1.000000D+00  -3.605841D-01
     1.000000D+00  -1.000000D+00   9.275342D-01  -9.994764D-01   8.783984D-02
    -1.000000D+00  -9.995070D-01  -2.696121D-01  -1.000000D+00   2.706121D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   9.994764D-01   8.783984D-02

    New RHO = 1.0000D-03     Number of function values =    88
    Least value of F =  3.220322024738166D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.645051D-01   1.000000D+00  -3.576367D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00  -2.759587D-03
    -1.000000D+00  -1.000000D+00  -3.624180D-01  -1.000000D+00   3.623725D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -3.349526D-03

    New RHO = 1.0000D-04     Number of function values =   121
    Least value of F =  3.220306285892322D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.618014D-01   1.000000D+00  -3.619181D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00  -1.322484D-03
    -1.000000D+00  -1.000000D+00  -3.618304D-01  -1.000000D+00   3.619566D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -8.843503D-04

    New RHO = 1.0000D-05     Number of function values =   157
    Least value of F =  3.220305336987249D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.616064D-01   1.000000D+00  -3.616179D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00  -5.332992D-06
    -1.000000D+00  -1.000000D+00  -3.616083D-01  -1.000000D+00   3.616038D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   1.050698D-05

    New RHO = 1.0000D-06     Number of function values =   179
    Least value of F =  3.220305336890877D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.616077D-01   1.000000D+00  -3.616078D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00   2.565694D-06
    -1.000000D+00  -1.000000D+00  -3.616071D-01  -1.000000D+00   3.616065D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   3.640768D-06

    At the return from BOBYQA     Number of function values =   204
    Least value of F =  3.220305336883049D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.616078D-01   1.000000D+00  -3.616079D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00  -2.472331D-07
    -1.000000D+00  -1.000000D+00  -3.616079D-01  -1.000000D+00   3.616079D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   1.500336D-07


     2D output with M =  10,  N =  20  and  NPT =  41

    New RHO = 1.0000D-02     Number of function values =    45
    Least value of F =  3.221724258591880D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.811180D-01   1.000000D+00  -3.811180D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00   1.224647D-16
    -1.000000D+00  -1.000000D+00  -3.811180D-01  -1.000000D+00   3.811180D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -2.449294D-16

    New RHO = 1.0000D-03     Number of function values =    74
    Least value of F =  3.220308936260134D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.625827D-01   1.000000D+00  -3.625827D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00   1.224647D-16
    -1.000000D+00  -1.000000D+00  -3.625827D-01  -1.000000D+00   3.625827D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -2.449294D-16

    New RHO = 1.0000D-04     Number of function values =   105
    Least value of F =  3.220305387743299D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.616324D-01   1.000000D+00  -3.614369D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00   2.621711D-04
    -1.000000D+00  -1.000000D+00  -3.617098D-01  -1.000000D+00   3.616401D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -2.317398D-04

    New RHO = 1.0000D-05     Number of function values =   141
    Least value of F =  3.220305337318172D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.616141D-01   1.000000D+00  -3.616111D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00  -3.484226D-05
    -1.000000D+00  -1.000000D+00  -3.616008D-01  -1.000000D+00   3.616056D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   1.414052D-05

    New RHO = 1.0000D-06     Number of function values =   164
    Least value of F =  3.220305336888649D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.616061D-01   1.000000D+00  -3.616097D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00   9.942072D-07
    -1.000000D+00  -1.000000D+00  -3.616080D-01  -1.000000D+00   3.616097D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00  -5.038510D-07

    At the return from BOBYQA     Number of function values =   193
    Least value of F =  3.220305336883029D+01         The corresponding X is:
     1.000000D+00   1.000000D+00   3.616078D-01   1.000000D+00  -3.616078D-01
     1.000000D+00  -1.000000D+00   1.000000D+00  -1.000000D+00  -9.092641D-08
    -1.000000D+00  -1.000000D+00  -3.616078D-01  -1.000000D+00   3.616079D-01
    -1.000000D+00   1.000000D+00  -1.000000D+00   1.000000D+00   7.085963D-09
 
 ====================
  cobyla_test
 ====================
 

       Output from test problem 1 (Simple quadratic)

   Normal return from subroutine COBYLA

   NFVALS =   37   F = 2.996516E-05    MAXCV = 0.000000E+00
   X =-1.000800E+00   4.854114E-03

     Least squares error in variables =    4.919624E-03

   Normal return from subroutine COBYLA

   NFVALS =   61   F = 1.003486E-07    MAXCV = 0.000000E+00
   X =-9.999334E-01   2.366462E-04

     Least squares error in variables =    2.458376E-04
  ------------------------------------------------------------------

       Output from test problem 2 (2D unit circle calculation)

   Normal return from subroutine COBYLA

   NFVALS =   37   F =-4.999994E-01    MAXCV = 1.999501E-06
   X = 7.062159E-01  -7.079980E-01

     Least squares error in variables =    1.260168E-03

   Normal return from subroutine COBYLA

   NFVALS =   46   F =-5.000000E-01    MAXCV = 1.999878E-08
   X = 7.070082E-01  -7.072054E-01

     Least squares error in variables =    1.394648E-04
  ------------------------------------------------------------------

       Output from test problem 3 (3D ellipsoid calculation)

   Normal return from subroutine COBYLA

   NFVALS =   52   F =-7.856687E-02    MAXCV = 6.190056E-06
   X = 5.780286E-01   4.069225E-01  -3.340246E-01

     Least squares error in variables =    1.641872E-03

   Normal return from subroutine COBYLA

   NFVALS =   65   F =-7.856742E-02    MAXCV = 4.522432E-08
   X = 5.773187E-01   4.083389E-01  -3.332776E-01

     Least squares error in variables =    1.109372E-04
  ------------------------------------------------------------------

       Output from test problem 4 (Weak Rosenbrock)

   Normal return from subroutine COBYLA

   NFVALS =  105   F = 4.696841E-05    MAXCV = 0.000000E+00
   X =-9.933327E-01   9.882959E-01

     Least squares error in variables =    1.346992E-02

   Normal return from subroutine COBYLA

   NFVALS =  155   F = 1.306424E-07    MAXCV = 0.000000E+00
   X =-9.996437E-01   9.993486E-01

     Least squares error in variables =    7.424763E-04
  ------------------------------------------------------------------

       Output from test problem 5 (Intermediate Rosenbrock)

   Normal return from subroutine COBYLA

   NFVALS =  338   F = 4.232543E-03    MAXCV = 0.000000E+00
   X =-9.367514E-01   8.726849E-01

     Least squares error in variables =    1.421601E-01

   Normal return from subroutine COBYLA

   NFVALS =  699   F = 8.279253E-05    MAXCV = 0.000000E+00
   X =-9.910989E-01   9.816801E-01

     Least squares error in variables =    2.036779E-02
  ------------------------------------------------------------------

       Output from test problem 6 (Equation (9.1.15) in Fletcher)

   Normal return from subroutine COBYLA

   NFVALS =   30   F =-1.414216E+00    MAXCV = 2.950397E-06
   X = 7.071947E-01   7.070209E-01

     Least squares error in variables =    1.229432E-04

   Normal return from subroutine COBYLA

   NFVALS =   41   F =-1.414214E+00    MAXCV = 2.000086E-08
   X = 7.071084E-01   7.071052E-01

     Least squares error in variables =    2.229808E-06
  ------------------------------------------------------------------

       Output from test problem 7 (Equation (14.4.2) in Fletcher)

   Normal return from subroutine COBYLA

   NFVALS =   28   F =-2.999881E+00    MAXCV = 0.000000E+00
   X = 1.841394E-17  -2.999881E+00  -2.999881E+00

     Least squares error in variables =    1.688430E-04

   Normal return from subroutine COBYLA

   NFVALS =   32   F =-3.000000E+00    MAXCV = 0.000000E+00
   X = 1.745569E-17  -3.000000E+00  -3.000000E+00

     Least squares error in variables =    2.996662E-09
  ------------------------------------------------------------------

       Output from test problem 8 (Rosen-Suzuki)

   Normal return from subroutine COBYLA

   NFVALS =   69   F =-4.400002E+01    MAXCV = 6.484421E-06
   X =-8.038091E-05   9.998587E-01   2.000100E+00  -9.999099E-01

     Least squares error in variables =    2.108421E-04

   Normal return from subroutine COBYLA

   NFVALS =   86   F =-4.400000E+01    MAXCV = 3.042309E-08
   X =-3.629933E-05   9.999862E-01   2.000030E+00  -9.999669E-01

     Least squares error in variables =    5.912239E-05
  ------------------------------------------------------------------

       Output from test problem 9 (Hock and Schittkowski 100)

   Normal return from subroutine COBYLA

   NFVALS =  241   F = 6.806301E+02    MAXCV = 1.008205E-05
   X = 2.331286E+00   1.951228E+00  -4.719463E-01   4.365556E+00  -6.232999E-01
       1.038174E+00   1.594236E+00

     Least squares error in variables =    5.778029E-03

   Normal return from subroutine COBYLA

   NFVALS =  308   F = 6.806301E+02    MAXCV = 1.601943E-07
   X = 2.330516E+00   1.951365E+00  -4.773138E-01   4.365738E+00  -6.245104E-01
       1.038216E+00   1.594247E+00

     Least squares error in variables =    2.459564E-04
  ------------------------------------------------------------------

       Output from test problem 10 (Hexagon area)

   Normal return from subroutine COBYLA

   NFVALS =  165   F =-8.660253E-01    MAXCV = 1.159058E-07
   X = 6.882718E-01   7.254530E-01  -2.840693E-01   9.588036E-01   6.883136E-01
       7.254131E-01  -2.841248E-01   9.587874E-01  -2.591632E-20

     Least squares error in variables =    5.782992E-05

   Normal return from subroutine COBYLA

   NFVALS =  207   F =-8.660254E-01    MAXCV = 8.424326E-09
   X = 6.883578E-01   7.253713E-01  -2.840590E-01   9.588068E-01   6.883215E-01
       7.254057E-01  -2.840110E-01   9.588210E-01   2.935137E-21

     Least squares error in variables =    5.005171E-05
  ------------------------------------------------------------------
 
 ====================
  lincoa_test
 ====================
 


    Output from LINCOA with  NPT =  15  and  RHOEND =  1.0000D-06

    At the return from LINCOA     Number of function values =   148
    Least value of F =  2.751575561533391D+00         The corresponding X is:
    -1.210293D+00  -1.212501D+00  -9.512774D-01   1.157576D+00  -1.159364D+00
     1.048821D+00   7.788128D-01   1.062499D+00  -7.734505D-01  -7.068258D-01
     1.408297D+00   6.554269D-01


    Output from LINCOA with  NPT =  20  and  RHOEND =  1.0000D-06

    At the return from LINCOA     Number of function values =   165
    Least value of F =  2.761312522335401D+00         The corresponding X is:
    -1.233791D+00  -1.231348D+00  -8.870616D-01   1.129888D+00  -1.128285D+00
     1.084034D+00   8.431308D-01   7.535399D-01  -8.461758D-01  -6.585848D-01
     1.556805D+00   5.853412D-01


    Output from LINCOA with  NPT =  25  and  RHOEND =  1.0000D-06

    At the return from LINCOA     Number of function values =   147
    Least value of F =  2.761312522888553D+00         The corresponding X is:
    -1.233791D+00  -1.231348D+00  -8.870616D-01   1.129888D+00  -1.128285D+00
     1.084034D+00   8.431307D-01   7.535404D-01  -8.461756D-01  -6.585848D-01
     1.556805D+00   5.853412D-01


    Output from LINCOA with  NPT =  30  and  RHOEND =  1.0000D-06

    At the return from LINCOA     Number of function values =   211
    Least value of F =  2.761312523174453D+00         The corresponding X is:
    -1.233791D+00  -1.231348D+00  -8.870616D-01   1.129888D+00  -1.128285D+00
     1.084034D+00   8.431306D-01   7.535407D-01  -8.461756D-01  -6.585848D-01
     1.556805D+00   5.853412D-01


    Output from LINCOA with  NPT =  35  and  RHOEND =  1.0000D-06

    At the return from LINCOA     Number of function values =   184
    Least value of F =  2.761312522640027D+00         The corresponding X is:
    -8.431307D-01   7.535402D-01   8.461757D-01   1.233791D+00  -1.231348D+00
     8.870616D-01  -1.129888D+00  -1.128285D+00  -1.084034D+00   6.585848D-01
     1.556805D+00  -5.853412D-01


    Output from LINCOA with  NPT =  40  and  RHOEND =  1.0000D-06

    At the return from LINCOA     Number of function values =   218
    Least value of F =  2.761312522250833D+00         The corresponding X is:
    -8.431308D-01   7.535398D-01   8.461758D-01   1.233791D+00  -1.231348D+00
     8.870616D-01  -1.129888D+00  -1.128285D+00  -1.084034D+00   6.585848D-01
     1.556805D+00  -5.853412D-01
 
 ====================
  newuoa_test
 ====================
 


    Results with N = 2 and NPT =  5

    New RHO = 6.6667D-03     Number of function values =    10
    Least value of F =  2.306405855199982D-03         The corresponding X is:
     2.382044D-01   8.080324D-01

    New RHO = 6.6667D-04     Number of function values =    16
    Least value of F =  1.227492922031232D-06         The corresponding X is:
     2.108177D-01   7.885663D-01

    New RHO = 6.6667D-05     Number of function values =    20
    Least value of F =  2.435328676569651D-09         The corresponding X is:
     2.113442D-01   7.886747D-01

    New RHO = 8.1650D-06     Number of function values =    23
    Least value of F =  2.435328676569651D-09         The corresponding X is:
     2.113442D-01   7.886747D-01

    New RHO = 1.0000D-06     Number of function values =    27
    Least value of F =  1.820673222656559D-12         The corresponding X is:
     2.113246D-01   7.886745D-01

    At the return from NEWUOA     Number of function values =    31
    Least value of F =  3.788471943857548D-19         The corresponding X is:
     2.113249D-01   7.886751D-01


    Results with N = 4 and NPT =  9

    New RHO = 4.0000D-03     Number of function values =    21
    Least value of F =  2.011890578520410D-03         The corresponding X is:
     1.129585D-01   4.058318D-01   6.110858D-01   9.111412D-01

    New RHO = 4.0000D-04     Number of function values =    34
    Least value of F =  4.013272744364380D-04         The corresponding X is:
     1.111816D-01   4.192043D-01   6.050995D-01   9.037598D-01

    New RHO = 4.0000D-05     Number of function values =    60
    Least value of F =  4.477976023994110D-08         The corresponding X is:
     1.026265D-01   4.061774D-01   5.936825D-01   8.972424D-01

    New RHO = 6.3246D-06     Number of function values =    75
    Least value of F =  4.867092671848019D-10         The corresponding X is:
     1.026742D-01   4.062069D-01   5.937875D-01   8.973192D-01

    New RHO = 1.0000D-06     Number of function values =    83
    Least value of F =  7.260321170150127D-12         The corresponding X is:
     1.026724D-01   4.062045D-01   5.937957D-01   8.973269D-01

    At the return from NEWUOA     Number of function values =    90
    Least value of F =  3.526594591477742D-14         The corresponding X is:
     1.026728D-01   4.062038D-01   5.937962D-01   8.973272D-01


    Results with N = 6 and NPT = 13

    New RHO = 2.8571D-03     Number of function values =    14
    Least value of F =  3.052693663946804D-02         The corresponding X is:
     1.142857D-01   2.857143D-01   4.285714D-01   5.714286D-01   7.142857D-01
     8.571429D-01

    New RHO = 2.8571D-04     Number of function values =    79
    Least value of F =  1.937801736287749D-05         The corresponding X is:
     6.822115D-02   2.926547D-01   3.677050D-01   6.359738D-01   7.128806D-01
     9.344113D-01

    New RHO = 2.8571D-05     Number of function values =   127
    Least value of F =  1.510306293149611D-07         The corresponding X is:
     6.686927D-02   2.887597D-01   3.666348D-01   6.334414D-01   7.109230D-01
     9.330520D-01

    New RHO = 5.3452D-06     Number of function values =   165
    Least value of F =  1.133414822162561D-09         The corresponding X is:
     6.687719D-02   2.887492D-01   3.666687D-01   6.333098D-01   7.112425D-01
     9.331166D-01

    New RHO = 1.0000D-06     Number of function values =   184
    Least value of F =  7.702513632596430D-12         The corresponding X is:
     6.687739D-02   2.887430D-01   3.666815D-01   6.333192D-01   7.112579D-01
     9.331233D-01

    At the return from NEWUOA     Number of function values =   199
    Least value of F =  3.945578132201740D-14         The corresponding X is:
     6.687665D-02   2.887407D-01   3.666824D-01   6.333177D-01   7.112595D-01
     9.331234D-01


    Results with N = 8 and NPT = 17

    New RHO = 2.2222D-03     Number of function values =    21
    Least value of F =  1.717393681624708D-02         The corresponding X is:
     9.398239D-02   2.276855D-01   3.322088D-01   4.429489D-01   5.570511D-01
     6.677912D-01   7.723145D-01   9.065755D-01

    New RHO = 2.2222D-04     Number of function values =   229
    Least value of F =  3.572228586722338D-03         The corresponding X is:
     4.268018D-02   1.925483D-01   2.645871D-01   5.022304D-01   4.946195D-01
     7.310340D-01   8.068423D-01   9.556583D-01

    New RHO = 1.4907D-05     Number of function values =   270
    Least value of F =  3.517006886506014D-03         The corresponding X is:
     4.318346D-02   1.931357D-01   2.663246D-01   4.999997D-01   5.000231D-01
     7.335707D-01   8.071030D-01   9.569352D-01

    New RHO = 1.0000D-06     Number of function values =   318
    Least value of F =  3.516873771404277D-03         The corresponding X is:
     4.315372D-02   1.930908D-01   2.663289D-01   4.999986D-01   5.000009D-01
     7.336718D-01   8.069070D-01   9.568453D-01

    At the return from NEWUOA     Number of function values =   339
    Least value of F =  3.516873725746756D-03         The corresponding X is:
     4.315283D-02   1.930909D-01   2.663287D-01   4.999999D-01   5.000001D-01
     7.336713D-01   8.069092D-01   9.568473D-01
 
 ====================
  uobyqa_test
 ====================
 


     ******************
     Results with N = 2
     ******************

    New RHO = 6.6667D-03     Number of function values =     9
    Least value of F =  2.627489963528159D-03         The corresponding X is:
     2.083513D-01   7.656407D-01

    New RHO = 6.6667D-04     Number of function values =    16
    Least value of F =  1.137753607650710D-05         The corresponding X is:
     2.102629D-01   7.868501D-01

    New RHO = 6.6667D-05     Number of function values =    18
    Least value of F =  1.251328746096981D-07         The corresponding X is:
     2.115131D-01   7.888341D-01

    New RHO = 6.6667D-06     Number of function values =    20
    Least value of F =  4.854193461059926D-10         The corresponding X is:
     2.113339D-01   7.886756D-01

    New RHO = 6.6667D-07     Number of function values =    22
    Least value of F =  3.205143092086003D-11         The corresponding X is:
     2.113263D-01   7.886781D-01

    New RHO = 8.1650D-08     Number of function values =    23
    Least value of F =  5.393089175572744D-18         The corresponding X is:
     2.113249D-01   7.886751D-01

    New RHO = 1.0000D-08     Number of function values =    23
    Least value of F =  5.393089175572744D-18         The corresponding X is:
     2.113249D-01   7.886751D-01

    At the return from UOBYQA     Number of function values =    25
    Least value of F =  4.101186270170302D-18         The corresponding X is:
     2.113249D-01   7.886751D-01


     ******************
     Results with N = 4
     ******************

    New RHO = 4.0000D-03     Number of function values =    34
    Least value of F =  3.340515350035493D-03         The corresponding X is:
     1.038837D-01   3.824455D-01   5.940921D-01   8.867976D-01

    New RHO = 4.0000D-04     Number of function values =    54
    Least value of F =  6.474047494996536D-06         The corresponding X is:
     1.026380D-01   4.057797D-01   5.937945D-01   8.980253D-01

    New RHO = 4.0000D-05     Number of function values =    57
    Least value of F =  6.825177339316550D-08         The corresponding X is:
     1.027415D-01   4.062001D-01   5.938739D-01   8.973257D-01

    New RHO = 4.0000D-06     Number of function values =    62
    Least value of F =  7.859650867155102D-11         The corresponding X is:
     1.026715D-01   4.062038D-01   5.937904D-01   8.973247D-01

    New RHO = 4.0000D-07     Number of function values =    66
    Least value of F =  7.180250968973935D-12         The corresponding X is:
     1.026729D-01   4.062045D-01   5.937962D-01   8.973266D-01

    New RHO = 6.3246D-08     Number of function values =    69
    Least value of F =  2.957551534434571D-16         The corresponding X is:
     1.026728D-01   4.062038D-01   5.937962D-01   8.973272D-01

    New RHO = 1.0000D-08     Number of function values =    71
    Least value of F =  2.957551534434571D-16         The corresponding X is:
     1.026728D-01   4.062038D-01   5.937962D-01   8.973272D-01

    At the return from UOBYQA     Number of function values =    73
    Least value of F =  7.789134876445051D-20         The corresponding X is:
     1.026728D-01   4.062038D-01   5.937962D-01   8.973272D-01


     ******************
     Results with N = 6
     ******************

    New RHO = 2.8571D-03     Number of function values =    63
    Least value of F =  1.928710351699899D-03         The corresponding X is:
     7.537816D-02   2.799988D-01   3.678985D-01   6.244399D-01   7.260429D-01
     9.377106D-01

    New RHO = 2.8571D-04     Number of function values =   101
    Least value of F =  1.730673791709993D-06         The corresponding X is:
     6.692247D-02   2.885147D-01   3.659676D-01   6.329996D-01   7.104306D-01
     9.329739D-01

    New RHO = 2.8571D-05     Number of function values =   109
    Least value of F =  5.336299197003580D-09         The corresponding X is:
     6.688982D-02   2.887769D-01   3.666795D-01   6.333617D-01   7.112131D-01
     9.331092D-01

    New RHO = 2.8571D-06     Number of function values =   119
    Least value of F =  9.565312564868880D-11         The corresponding X is:
     6.687378D-02   2.887348D-01   3.666771D-01   6.333115D-01   7.112554D-01
     9.331206D-01

    New RHO = 2.8571D-07     Number of function values =   125
    Least value of F =  5.582384464430508D-13         The corresponding X is:
     6.687643D-02   2.887403D-01   3.666827D-01   6.333175D-01   7.112599D-01
     9.331235D-01

    New RHO = 5.3452D-08     Number of function values =   130
    Least value of F =  4.409717213041229D-16         The corresponding X is:
     6.687659D-02   2.887407D-01   3.666823D-01   6.333177D-01   7.112593D-01
     9.331234D-01

    New RHO = 1.0000D-08     Number of function values =   131
    Least value of F =  4.409717213041229D-16         The corresponding X is:
     6.687659D-02   2.887407D-01   3.666823D-01   6.333177D-01   7.112593D-01
     9.331234D-01

    At the return from UOBYQA     Number of function values =   135
    Least value of F =  3.104366392117188D-17         The corresponding X is:
     6.687659D-02   2.887407D-01   3.666823D-01   6.333177D-01   7.112593D-01
     9.331234D-01


     ******************
     Results with N = 8
     ******************

    New RHO = 2.2222D-03     Number of function values =   129
    Least value of F =  4.373356342725789D-03         The corresponding X is:
     4.808297D-02   1.997487D-01   2.614878D-01   4.866556D-01   5.022007D-01
     7.267718D-01   8.011400D-01   9.488097D-01

    New RHO = 2.2222D-04     Number of function values =   202
    Least value of F =  3.517615841125924D-03         The corresponding X is:
     4.321301D-02   1.932626D-01   2.661681D-01   4.995649D-01   5.000841D-01
     7.333412D-01   8.071645D-01   9.569102D-01

    New RHO = 2.2222D-05     Number of function values =   205
    Least value of F =  3.516930263688865D-03         The corresponding X is:
     4.314483D-02   1.930447D-01   2.663269D-01   4.998325D-01   5.001018D-01
     7.336374D-01   8.068364D-01   9.567933D-01

    New RHO = 2.2222D-06     Number of function values =   223
    Least value of F =  3.516874060108338D-03         The corresponding X is:
     4.315241D-02   1.930920D-01   2.663300D-01   5.000006D-01   4.999968D-01
     7.336711D-01   8.069102D-01   9.568443D-01

    New RHO = 1.4907D-07     Number of function values =   234
    Least value of F =  3.516873727771715D-03         The corresponding X is:
     4.315274D-02   1.930905D-01   2.663290D-01   4.999997D-01   5.000003D-01
     7.336714D-01   8.069085D-01   9.568469D-01

    New RHO = 1.0000D-08     Number of function values =   244
    Least value of F =  3.516873725679973D-03         The corresponding X is:
     4.315277D-02   1.930908D-01   2.663287D-01   5.000000D-01   5.000000D-01
     7.336713D-01   8.069092D-01   9.568472D-01

    At the return from UOBYQA     Number of function values =   252
    Least value of F =  3.516873725677931D-03         The corresponding X is:
     4.315276D-02   1.930908D-01   2.663287D-01   5.000000D-01   5.000000D-01
     7.336713D-01   8.069092D-01   9.568472D-01
