Started as single run within Anpass for Typ=16
Settings : Gradient limit=10.00n, maximum iterations=80, with clampings
0: pure eval, 1: goal function call, 2: goal function gradient, 3: Hessian
Hint: More data in file opt2.csv
Hint : Single-sided gradient formula used

Real Hessian Matrix H at start : 
12.275355, -0.771860,  8.064539,  1.337907, -2.017572, -0.787186, -1.079185, -2.151645
-0.771860, 12.597219,  1.182492,  9.037677, -0.975871, -2.084781, -1.813244, -0.520348
 8.064539,  1.182492, 11.165130,  0.159212, -1.327350, -1.394806, -1.323502, -1.988241
 1.337907,  9.037677,  0.159212, 12.583474, -1.169214, -1.764348, -0.760275, -1.133266
-2.017572, -0.975871, -1.327350, -1.169214,  1.542325,  1.173818,  0.277655,  0.356695
-0.787186, -2.084781, -1.394806, -1.764348,  1.173818,  1.271399,  0.333704,  0.277657
-1.079185, -1.813244, -1.323502, -0.760275,  0.277655,  0.333704,  2.576828,  1.870439
-2.151645, -0.520348, -1.988241, -1.133266,  0.356695,  0.277657,  1.870439,  2.154982

RMS value of diagonal matrix entries : 8.72
RMS value of non-diagonal entries : 2.61
Ratio of RMS values : 3.338:1

Real inverse Hessian Matrix iH at start : 
 0.482646,  0.026292, -0.378267, -0.158371,  1.434644, -1.626494,  0.041364, -0.007839
 0.026292,  0.383688, -0.069726, -0.257896, -0.303833,  0.470683,  0.560133, -0.577583
-0.378267, -0.069726,  0.441340,  0.197022, -1.157226,  1.466106, -0.200484,  0.292942
-0.158371, -0.257896,  0.197022,  0.336657, -0.380611,  0.518105, -0.462498,  0.536095
 1.434644, -0.303833, -1.157226, -0.380611,  7.135254, -7.979803, -0.027833, -0.037511
-1.626494,  0.470683,  1.466106,  0.518105, -7.979803, 10.218869,  0.016219,  0.104912
 0.041364,  0.560133, -0.200484, -0.462498, -0.027833,  0.016219,  2.005131, -1.989496
-0.007839, -0.577583,  0.292942,  0.536095, -0.037511,  0.104912, -1.989496,  2.588444

Eigenvalues of real damped start iH :  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000
Eigenvalues of real iH at start : 17.346179651,  4.628656656,  0.589902490,  0.453266256,  0.293940668,  0.186915646,  0.050504747,  0.042663136
Eigenvalues of real H at start : 23.439439435, 19.800118952,  5.350006930,  3.402047109,  2.206208796,  1.695195420,  0.216045405,  0.057649582

Start values : f=0.182, |g|=1.63
X :  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000
Initial step size t=0.500
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 1 (14 calls) :
Current goal function and gradient : f=0.112, reduction df=69.41m, |g|=1.63
X : -0.034737784,  0.039329364, -0.044888876,  0.060372449,  0.002634678, -0.004212536,  0.001051615,  0.001262970
G :  0.614819868, -0.696085688,  0.794482811, -1.068524723, -0.046630854,  0.074557176, -0.018612411, -0.022353159
S : -0.614819868,  0.696085688, -0.794482811,  1.068524723,  0.046630854, -0.074557176,  0.018612411,  0.022353159
Angle between -G and S is 0.00.
Angle between old and new gradient is 0.00.
Current parameter steps : |dx|=91.87m, max(dxi)=60.37m for number i=4, min(dxi)=1.05m for number i=7
Current steps in linear search : i=3, step size is t=56.50m, clampings=0
Hint : Single-sided gradient formula used
Current eigenvalues of BFGS iH :  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 2 (24 calls) :
Current goal function and gradient : f=0.105, reduction df=7.42m, |g|=0.32
X : -0.022353941, -0.000276985, -0.071902381,  0.087831389,  0.004934378, -0.000997128,  0.014608011, -0.007607800
G : -0.119600180,  0.271671125,  0.074543070, -0.053003385, -0.008178755, -0.023630028, -0.070573778,  0.049193871
S :  0.062458313, -0.199755897, -0.136243486,  0.138490046,  0.011598610,  0.016217015,  0.068372120, -0.044740016
Angle between -G and S is 8.88.
Angle between old and new gradient is 115.33.
Current parameter steps : |dx|=59.02m, max(dxi)=39.61m for number i=2, min(dxi)=2.30m for number i=5
Current steps in linear search : i=0, step size is t=0.20, clampings=0
Hint : Single-sided gradient formula used
Current eigenvalues of BFGS iH :  1.034417820,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  0.051726502
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 3 (35 calls) :
Current goal function and gradient : f=0.104, reduction df=0.97m, |g|=0.21
X : -0.016970558, -0.002249217, -0.069022724,  0.095276380,  0.004105235, -0.003275575,  0.015192669, -0.012138049
G : -0.101647335, -0.023322184, -0.147364059, -0.044437906,  0.023241169,  0.049206436,  0.019536288,  0.070171513
S :  0.093562980, -0.034277316,  0.050048316,  0.129393639, -0.014410473, -0.039599306,  0.010161331, -0.078735548
Angle between -G and S is 23.66.
Angle between old and new gradient is 92.81.
Current parameter steps : |dx|=11.11m, max(dxi)=7.44m for number i=4, min(dxi)=0.58m for number i=7
Current steps in linear search : i=1, step size is t=57.54m, clampings=0
Hint : Single-sided gradient formula used
Current eigenvalues of BFGS iH :  1.391400996,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  0.131690606,  0.051122333
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 4 (46 calls) :
Current goal function and gradient : f=0.103, reduction df=1.05m, |g|=95.24m
X : -0.035648292, -0.012913725, -0.050757118,  0.099854334,  0.014058010, -0.021728845,  0.026195035, -0.036651928
G : -0.004449721,  0.012735417, -0.076311526,  0.032691114, -0.006169291,  0.027244487, -0.003775092,  0.034670638
S : -0.025461726, -0.014537993,  0.024899907,  0.006240725,  0.013567750, -0.025155733,  0.014998565, -0.033417631
Angle between -G and S is 31.53.
Angle between old and new gradient is 28.34.
Current parameter steps : |dx|=44.48m, max(dxi)=24.51m for number i=8, min(dxi)=4.58m for number i=4
Current steps in linear search : i=0, step size is t=0.73, clampings=0
Hint : Single-sided gradient formula used
Current eigenvalues of BFGS iH :  1.158062571,  1.000000000,  1.000000000,  1.000000000,  1.000000000,  0.203834255,  0.053768924,  0.049529702
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 5 (56 calls) :
Current goal function and gradient : f=0.102, reduction df=1.27m, |g|=48.60m
X : -0.014627885,  0.010096494, -0.062092605,  0.078784558,  0.038914577, -0.049049247,  0.062724211, -0.059454941
G : -0.035550450, -0.022790931,  0.005763167,  0.014847062, -0.006871052,  0.008641420, -0.013815952,  0.003483871
S :  0.010860077,  0.011888102, -0.005856416, -0.010885583,  0.012842007, -0.014114934,  0.018872596, -0.011781050
Angle between -G and S is 19.13.
Angle between old and new gradient is 82.92.
Current parameter steps : |dx|=69.01m, max(dxi)=36.53m for number i=7, min(dxi)=11.34m for number i=3
Current steps in linear search : i=0, step size is t=1.94, clampings=0
Hint : Single-sided gradient formula used

Current real Hessian Matrix H  : 
11.116609, -1.213940,  7.123011,  0.618727, -2.260889, -0.714788, -0.912386, -2.028637
-1.213940, 11.121413,  0.554070,  7.410109, -0.857425, -1.989620, -2.326658, -0.654727
 7.123011,  0.554070, 10.052102, -0.577065, -1.689209, -1.397680, -1.218110, -1.851006
 0.618727,  7.410109, -0.577065, 10.575376, -1.102141, -1.717962, -1.594660, -1.344230
-2.260889, -0.857425, -1.689209, -1.102141,  1.511158,  1.267981,  0.337478,  0.440309
-0.714788, -1.989620, -1.397680, -1.717962,  1.267981,  1.623881,  0.444079,  0.342036
-0.912386, -2.326658, -1.218110, -1.594660,  0.337478,  0.444079,  1.918385,  1.560067
-2.028637, -0.654727, -1.851006, -1.344230,  0.440309,  0.342036,  1.560067,  2.002156

RMS value of diagonal matrix entries : 7.69
RMS value of non-diagonal entries : 2.33
Ratio of RMS values : 3.298:1

Current real inverse Hessian Matrix : 
 0.446299,  0.023540, -0.251167, -0.091497,  1.124857, -0.973021, -0.099870,  0.162931
 0.023540,  0.438922, -0.085580, -0.253564, -0.224054,  0.304639,  0.863192, -0.757338
-0.251167, -0.085580,  0.310943,  0.141446, -0.483883,  0.569760, -0.119214,  0.201931
-0.091497, -0.253564,  0.141446,  0.301555, -0.103956,  0.186335, -0.426591,  0.481031
 1.124857, -0.224054, -0.483883, -0.103956,  5.218489, -4.364511, -0.431005,  0.483123
-0.973021,  0.304639,  0.569760,  0.186335, -4.364511,  4.617726,  0.474493, -0.433173
-0.099870,  0.863192, -0.119214, -0.426591, -0.431005,  0.474493,  3.331484, -2.797687
 0.162931, -0.757338,  0.201931,  0.481031,  0.483123, -0.433173, -2.797687,  3.074230

Current inverse Hessian Matrix from BFGS : 
 0.206196,  0.072754, -0.113443, -0.057431,  0.101757, -0.013082, -0.018219,  0.056085
 0.072754,  0.233922, -0.027883, -0.150683,  0.036939,  0.084122,  0.128722, -0.076687
-0.113443, -0.027883,  0.291926,  0.116613,  0.116741,  0.096856,  0.198064,  0.136581
-0.057431, -0.150683,  0.116613,  0.259183,  0.058751,  0.101738,  0.013964,  0.174221
 0.101757,  0.036939,  0.116741,  0.058751,  1.043144, -0.130728,  0.077770, -0.159608
-0.013082,  0.084122,  0.096856,  0.101738, -0.130728,  1.099741, -0.195061,  0.115349
-0.018219,  0.128722,  0.198064,  0.013964,  0.077770, -0.195061,  1.086265, -0.203123
 0.056085, -0.076687,  0.136581,  0.174221, -0.159608,  0.115349, -0.203123,  1.077403

Sign mismatches in matrices : 18 of 64 (28.13%)
Normalized average entry difference in matrices : 82.85%
Hint : Angle between S via iH and real iH is 0.41. Length ratio is 0.24:1.
Current eigenvalues of real iH :  9.857348977,  6.083707447,  0.617436939,  0.481338414,  0.396991697,  0.198523351,  0.054070424,  0.050232106
Current eigenvalues of BFGS iH :  1.542131065,  1.000000000,  1.000000000,  1.000000000,  0.452305452,  0.198954749,  0.055048561,  0.049340705
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 6 (66 calls) :
Current goal function and gradient : f=0.101, reduction df=0.73m, |g|=87.44m
X : -0.006994599,  0.017918983, -0.076032811,  0.072243912,  0.083663727, -0.073996149,  0.087888214, -0.106038828
G :  0.051343651,  0.006388936,  0.058549551, -0.026812815, -0.025973152, -0.004025375, -0.008122112,  0.008108569
S :  0.004606435,  0.004720613, -0.008412452, -0.003947063,  0.027004629, -0.015054628,  0.015185641, -0.028111831
Angle between -G and S is 65.06.
Angle between old and new gradient is 127.01.
Current parameter steps : |dx|=76.06m, max(dxi)=46.58m for number i=8, min(dxi)=6.54m for number i=4
Current steps in linear search : i=0, step size is t=1.66, clampings=0
Hint : Single-sided gradient formula used
Current eigenvalues of BFGS iH :  3.817408134,  1.000000000,  1.000000000,  0.970191041,  0.424810295,  0.193058955,  0.049413953,  0.046658984
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 7 (76 calls) :
Current goal function and gradient : f=0.101, reduction df=0.41m, |g|=40.90m
X : -0.007514888,  0.016868223, -0.075351850,  0.074491258,  0.093982317, -0.091801943,  0.108007010, -0.111891617
G :  0.009775487,  0.011618078, -0.006224623, -0.009813832,  0.006983630,  0.018294092, -0.024733405, -0.017656682
S : -0.000841226, -0.001698916,  0.001101010,  0.003633612,  0.016683563, -0.028789213,  0.032528979, -0.009463054
Angle between -G and S is 38.39.
Angle between old and new gradient is 83.02.
Current parameter steps : |dx|=29.49m, max(dxi)=20.12m for number i=7, min(dxi)=0.52m for number i=1
Current steps in linear search : i=0, step size is t=0.62, clampings=0
Warning : Used single-sided gradient calculation is maybe inaccurate for parameter4, delta(f) is already small.
Current eigenvalues of BFGS iH :  7.058168441,  1.008478871,  1.000000000,  0.549927247,  0.442321035,  0.206169608,  0.054776773,  0.049365775
Hint : Start stepsize t good already before linear search.
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 8 (85 calls) :
Current goal function and gradient : f=0.100, reduction df=28.98u, |g|=15.00m
X : -0.006981917,  0.016757615, -0.074388677,  0.074660406,  0.097399603, -0.097596957,  0.112085984, -0.112036921
G : -0.006271223,  0.001696368, -0.010784482,  0.000048019,  0.002747439,  0.006343045, -0.002956672, -0.003162835
S :  0.000532971, -0.000110608,  0.000963172,  0.000169147,  0.003417286, -0.005795015,  0.004078974, -0.000145305
Angle between -G and S is 50.09.
Angle between old and new gradient is 47.57.
Current parameter steps : |dx|=7.95m, max(dxi)=5.80m for number i=6, min(dxi)=0.11m for number i=2
Current steps in linear search : i=0, step size is t=1.00, clampings=0
Warning : Used single-sided gradient calculation is maybe inaccurate for parameter4, delta(f) is already small.
Current eigenvalues of BFGS iH :  6.679240247,  1.018359277,  0.999717225,  0.474674679,  0.421724182,  0.204916011,  0.053608212,  0.049283842
Warning : Single-sided gradient used. This might be the reason for problems in linear search.
Iteration 9 (98 calls) :
Current goal function and gradient : f=0.100, reduction df=11.17u, |g|=2.28m
X : -0.004971247,  0.015477223, -0.075228496,  0.074967241,  0.104621932, -0.105888721,  0.109846763, -0.108262004
G : -0.000485957,  0.000830940,  0.000538494,  0.000444611, -0.001113636,  0.000824508,  0.000861973, -0.001056709
S :  0.000455382, -0.000289987, -0.000190205,  0.000069493,  0.001635733, -0.001877942, -0.000507145,  0.000854954
Angle between -G and S is 14.49.
Angle between old and new gradient is 85.70.
Current parameter steps : |dx|=12.11m, max(dxi)=8.29m for number i=6, min(dxi)=0.31m for number i=4
Current steps in linear search : i=2, step size is t=4.42, clampings=0
Hint : Switched to double-sided gradient because : |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used
Current eigenvalues of BFGS iH :  6.808560260,  1.257310385,  1.000580382,  0.464629324,  0.385754664,  0.202640498,  0.053031094,  0.048998514

Iteration 10 (116 calls) :
Current goal function and gradient : f=0.100, reduction df=6.47u, |g|=4.34m
X : -0.004514909,  0.014836776, -0.075040450,  0.075309800,  0.106518409, -0.105868451,  0.105491653, -0.104829304
G :  0.000689582, -0.001320174,  0.000725073,  0.000776793, -0.001961868, -0.001849844,  0.002736572,  0.000846927
S :  0.000350711, -0.000492204,  0.000144519,  0.000263267,  0.001457503,  0.000015578, -0.003347040,  0.002638139
Angle between -G and S is 50.77.
Angle between old and new gradient is 77.01.
Current parameter steps : |dx|=5.93m, max(dxi)=4.36m for number i=7, min(dxi)=20.27u for number i=6
Current steps in linear search : i=0, step size is t=1.30, clampings=0
Hint : Switched to double-sided gradient because : |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used

Current real Hessian Matrix H  : 
11.117926, -1.240018,  7.286329,  0.553376, -2.326314, -0.689609, -0.898082, -2.025658
-1.240018, 11.096574,  0.549372,  7.263643, -0.901366, -2.026638, -2.325124, -0.689611
 7.286329,  0.549372, 10.342851, -0.597507, -1.655907, -1.372718, -1.176150, -1.802531
 0.553376,  7.263643, -0.597507, 10.316164, -1.177737, -1.800296, -1.660710, -1.374500
-2.326314, -0.901366, -1.655907, -1.177737,  1.750499,  1.430934,  0.343576,  0.445748
-0.689609, -2.026638, -1.372718, -1.800296,  1.430934,  1.821249,  0.446978,  0.343582
-0.898082, -2.325124, -1.176150, -1.660710,  0.343576,  0.446978,  1.741238,  1.426926
-2.025658, -0.689611, -1.802531, -1.374500,  0.445748,  0.343582,  1.426926,  1.819761

RMS value of diagonal matrix entries : 7.69
RMS value of non-diagonal entries : 2.34
Ratio of RMS values : 3.287:1

Current real inverse Hessian Matrix : 
 0.440964,  0.026100, -0.252851, -0.088253,  0.962970, -0.843924, -0.150553,  0.225144
 0.026100,  0.442269, -0.087857, -0.252336, -0.149377,  0.225525,  0.970488, -0.847942
-0.252851, -0.087857,  0.305499,  0.140412, -0.450078,  0.519802, -0.109004,  0.191485
-0.088253, -0.252336,  0.140412,  0.305252, -0.110054,  0.192217, -0.449114,  0.518612
 0.962970, -0.149377, -0.450078, -0.110054,  3.992292, -3.372002, -0.427651,  0.480456
-0.843924,  0.225525,  0.519802,  0.192217, -3.372002,  3.676180,  0.483454, -0.441088
-0.150553,  0.970488, -0.109004, -0.449114, -0.427651,  0.483454,  4.035246, -3.397687
 0.225144, -0.847942,  0.191485,  0.518612,  0.480456, -0.441088, -3.397687,  3.690012

Current inverse Hessian Matrix from BFGS : 
 0.434876,  0.042242, -0.225799, -0.080562,  0.992922, -0.832044, -0.043418,  0.187879
 0.042242,  0.408199, -0.088484, -0.247349, -0.057352,  0.180406,  0.758789, -0.704912
-0.225799, -0.088484,  0.345789,  0.167158, -0.295300,  0.534203, -0.109261,  0.261720
-0.080562, -0.247349,  0.167158,  0.317440, -0.048748,  0.212739, -0.378440,  0.509467
 0.992922, -0.057352, -0.295300, -0.048748,  4.419176, -3.329997,  0.088077,  0.357642
-0.832044,  0.180406,  0.534203,  0.212739, -3.329997,  3.705753,  0.299745, -0.300451
-0.043418,  0.758789, -0.109261, -0.378440,  0.088077,  0.299745,  2.770809, -2.483494
 0.187879, -0.704912,  0.261720,  0.509467,  0.357642, -0.300451, -2.483494,  3.138758

Sign mismatches in matrices : 2 of 64 (3.13%)
Normalized average entry difference in matrices : 10.44%
Hint : Angle between S via iH and real iH is 0.21. Length ratio is 0.71:1.
Current eigenvalues of real iH :  8.480707976,  6.636781117,  0.574874591,  0.479261532,  0.412734504,  0.199262899,  0.053780979,  0.050311115
Current eigenvalues of BFGS iH :  7.798229285,  5.669371401,  0.976206528,  0.470144202,  0.324552821,  0.200245244,  0.052803095,  0.049248561

Iteration 11 (134 calls) :
Current goal function and gradient : f=0.100, reduction df=0.83u, |g|=1.83m
X : -0.004479314,  0.014586824, -0.075273009,  0.075259356,  0.106306639, -0.106129837,  0.103982153, -0.104086613
G :  0.000642490, -0.000394961,  0.001193530,  0.000056153,  0.000214554,  0.000239927,  0.001019787,  0.000446006
S :  0.000061996, -0.000435340, -0.000405046, -0.000087857, -0.000368840, -0.000455254, -0.002629085,  0.001293538
Angle between -G and S is 48.49.
Angle between old and new gradient is 42.58.
Current parameter steps : |dx|=1.75m, max(dxi)=1.51m for number i=7, min(dxi)=35.60u for number i=1
Current steps in linear search : i=0, step size is t=0.57, clampings=0
Hint : Switched to double-sided gradient because : |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used
Current eigenvalues of BFGS iH :  8.632149058,  7.167783225,  0.825394783,  0.472940992,  0.413705323,  0.200660458,  0.053317857,  0.049248462
Hint : Start stepsize t good already before linear search.

Iteration 12 (151 calls) :
Current goal function and gradient : f=0.100, reduction df=37.09n, |g|=0.30m
X : -0.004429273,  0.014479133, -0.075287032,  0.075288465,  0.106575353, -0.106330501,  0.103498024, -0.103736880
G :  0.000151994,  0.000010207,  0.000088748,  0.000081373, -0.000130215, -0.000066079,  0.000164624,  0.000046413
S :  0.000050041, -0.000107691, -0.000014023,  0.000029109,  0.000268714, -0.000200664, -0.000484128,  0.000349734
Angle between -G and S is 56.24.
Angle between old and new gradient is 32.16.
Current parameter steps : |dx|=0.70m, max(dxi)=0.48m for number i=7, min(dxi)=14.02u for number i=3
Current steps in linear search : i=0, step size is t=1.00, clampings=0
Hint : Switched to double-sided gradient because : |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used
Current eigenvalues of BFGS iH :  8.795031598,  6.711141353,  0.577769829,  0.470747092,  0.418275848,  0.200094562,  0.052589469,  0.049146462
Hint : Start stepsize t good already before linear search.

Iteration 13 (168 calls) :
Current goal function and gradient : f=0.100, reduction df=0.11n, |g|=16.66u
X : -0.004433077,  0.014482404, -0.075287392,  0.075286372,  0.106556039, -0.106320817,  0.103515007, -0.103752387
G : -0.000004295,  0.000005798,  0.000001321,  0.000001734,  0.000011874,  0.000007379, -0.000005033,  0.000000230
S : -0.000003804,  0.000003272, -0.000000359, -0.000002094, -0.000019313,  0.000009684,  0.000016983, -0.000015508
Angle between -G and S is 53.61.
Angle between old and new gradient is 147.93.
Current parameter steps : |dx|=32.02u, max(dxi)=19.31u for number i=5, min(dxi)=0.36u for number i=3
Hint : Steps xi-xi-1 already smaller than dx for gradient calculation.
Current steps in linear search : i=0, step size is t=1.00, clampings=0
Hint : Switched to double-sided gradient because : Maximum step dxi smaller than dxss in gradient calculation. |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used
Current eigenvalues of BFGS iH :  8.493944153,  6.721563997,  0.582034591,  0.470835139,  0.411553003,  0.199839940,  0.052566662,  0.049171399
Hint : Start stepsize t good already before linear search.

Iteration 14 (185 calls) :
Current goal function and gradient : f=0.100, reduction df=36.75f, |g|=0.74u
X : -0.004433069,  0.014482410, -0.075287342,  0.075286342,  0.106556289, -0.106320961,  0.103515147, -0.103752468
G :  0.000000011,  0.000000369, -0.000000369,  0.000000475, -0.000000172, -0.000000099, -0.000000122, -0.000000044
S :  0.000000008,  0.000000006,  0.000000050, -0.000000029,  0.000000250, -0.000000144,  0.000000140, -0.000000081
Angle between -G and S is 64.05.
Angle between old and new gradient is 88.15.
Current parameter steps : |dx|=0.34u, max(dxi)=0.25u for number i=5, min(dxi)=6.16n for number i=2
Hint : Steps xi-xi-1 already smaller than dx for gradient calculation.
Current steps in linear search : i=0, step size is t=1.00, clampings=0
Hint : Switched to double-sided gradient because : |g| is smaller than 12.00u. Maximum step dxi smaller than dxss in gradient calculation. |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used
Current eigenvalues of BFGS iH :  8.496454612,  6.725290820,  0.578890638,  0.470939748,  0.411346843,  0.199332269,  0.052617514,  0.049199521
Warning : Parabel interpolation shows that start stepsize before GST is quite bad.

Warning : Probably rounding errors, large stepsize or large high-order derivatives caused problems in linear search. Quite some oscillation!Quite large df/(t*psg)!Quite large -df/(t*psg)!

Iteration 15 (217 calls) :
Current goal function and gradient : f=0.100, reduction df=0.62f, |g|=54.43n
X : -0.004433073,  0.014482388, -0.075287336,  0.075286335,  0.106556299, -0.106320982,  0.103515116, -0.103752457
G : -0.000000006,  0.000000038, -0.000000013,  0.000000036, -0.000000001, -0.000000003, -0.000000003,  0.000000002
S : -0.000000001, -0.000000004,  0.000000001, -0.000000001,  0.000000002, -0.000000004, -0.000000006,  0.000000002
Angle between -G and S is 54.61.
Angle between old and new gradient is 9.11.
Current parameter steps : |dx|=46.89n, max(dxi)=31.30n for number i=7, min(dxi)=3.25n for number i=1
Hint : Steps xi-xi-1 already smaller than dx for gradient calculation.
Current steps in linear search : i=12, step size is t=5.06, clampings=0
Hint : Switched to double-sided gradient because : Close to end. |g| is smaller than 12.00u. Maximum step dxi smaller than dxss in gradient calculation. |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used

Current real Hessian Matrix H  : 
11.113929, -1.239625,  7.282040,  0.551610, -2.327240, -0.689675, -0.901318, -2.027877
-1.239625, 11.112956,  0.551550,  7.281135, -0.901375, -2.027929, -2.327254, -0.689654
 7.282040,  0.551550, 10.337872, -0.596511, -1.657702, -1.373436, -1.178994, -1.804050
 0.551610,  7.281135, -0.596511, 10.336821, -1.178998, -1.803964, -1.657864, -1.373467
-2.327240, -0.901375, -1.657702, -1.178998,  1.749710,  1.431281,  0.343724,  0.446294
-0.689675, -2.027929, -1.373436, -1.803964,  1.431281,  1.822882,  0.446294,  0.343568
-0.901318, -2.327254, -1.178994, -1.657864,  0.343724,  0.446294,  1.749502,  1.431286
-2.027877, -0.689654, -1.804050, -1.373467,  0.446294,  0.343568,  1.431286,  1.823109

RMS value of diagonal matrix entries : 7.69
RMS value of non-diagonal entries : 2.34
Ratio of RMS values : 3.286:1

Current real inverse Hessian Matrix : 
 0.441347,  0.026341, -0.252734, -0.088158,  0.964698, -0.844624, -0.149200,  0.224523
 0.026341,  0.441424, -0.088118, -0.252700, -0.149260,  0.224720,  0.964946, -0.844658
-0.252734, -0.088118,  0.305400,  0.140402, -0.449638,  0.519116, -0.109531,  0.191761
-0.088158, -0.252700,  0.140402,  0.305380, -0.109636,  0.191848, -0.449508,  0.518930
 0.964698, -0.149260, -0.449638, -0.109636,  3.999925, -3.375128, -0.426921,  0.481094
-0.844624,  0.224720,  0.519116,  0.191848, -3.375128,  3.675235,  0.481485, -0.440643
-0.149200,  0.964946, -0.109531, -0.449508, -0.426921,  0.481485,  4.000918, -3.375229
 0.224523, -0.844658,  0.191761,  0.518930,  0.481094, -0.440643, -3.375229,  3.674526

Current inverse Hessian Matrix from BFGS : 
 0.435102,  0.023042, -0.246674, -0.085383,  0.956316, -0.844498, -0.161222,  0.241341
 0.023042,  0.446621, -0.089667, -0.258324, -0.148079,  0.215209,  0.975244, -0.861427
-0.246674, -0.089667,  0.303125,  0.139684, -0.449564,  0.522343, -0.112359,  0.193539
-0.085383, -0.258324,  0.139684,  0.307280, -0.115527,  0.200326, -0.456816,  0.526165
 0.956316, -0.148079, -0.449564, -0.115527,  3.999575, -3.391558, -0.430826,  0.478978
-0.844498,  0.215209,  0.522343,  0.200326, -3.391558,  3.701421,  0.475938, -0.434787
-0.161222,  0.975244, -0.112359, -0.456816, -0.430826,  0.475938,  4.034436, -3.415197
 0.241341, -0.861427,  0.193539,  0.526165,  0.478978, -0.434787, -3.415197,  3.715776

Sign mismatches in matrices : 0 of 64 (0.00%)
Normalized average entry difference in matrices : 0.61%
Hint : Angle between S via iH and real iH is 0.00. Length ratio is 1.01:1.
Current eigenvalues of real iH :  8.458087808,  6.618412252,  0.573573240,  0.478999158,  0.411816482,  0.199250126,  0.053743442,  0.050270682
Current eigenvalues of BFGS iH :  8.509865515,  6.676089686,  0.568091883,  0.474207705,  0.411562467,  0.199577475,  0.053619058,  0.050322548

Warning : Probably rounding errors, large stepsize or large high-order derivatives caused problems in linear search. Quite some oscillation!Quite large df/(t*psg)!Quite large -df/(t*psg)!

Iteration 16 (268 calls) :
Current goal function and gradient : f=0.100, reduction df=0.0, |g|=0.22u
X : -0.004433072,  0.014482394, -0.075287337,  0.075286337,  0.106556296, -0.106320977,  0.103515124, -0.103752460
G :  0.000000026, -0.000000153,  0.000000051, -0.000000141,  0.000000006,  0.000000014,  0.000000011, -0.000000006
S :  0.000000003,  0.000000018, -0.000000005,  0.000000006, -0.000000008,  0.000000016,  0.000000025, -0.000000009
Angle between -G and S is 54.95.
Angle between old and new gradient is 180.00.
Current parameter steps : |dx|=12.25n, max(dxi)=8.18n for number i=7, min(dxi)=0.85n for number i=1
Hint : Steps xi-xi-1 already smaller than dx for gradient calculation.
Current steps in linear search : i=33, step size is t=0.33, clampings=0
Hint : Switched to double-sided gradient because : Close to end. |g| is smaller than 12.00u. Maximum step dxi smaller than dxss in gradient calculation. |g| is smaller 100dxss=2.00m.
Hint : Double-sided gradient formula used
Current eigenvalues of BFGS iH :  8.493263321,  6.671820187,  0.576117816,  0.473493449,  0.411676164,  0.199471394,  0.053908252,  0.050567881

BFGS iterations : 16, f=0.100, |g|=0.15u - YS too small.
Number of warnings during optimization : 14
Function calls in gradient calculation : 201
Function calls in line search : 83
Single-sided gradient calculations : 9
Double-sided gradient calculations : 8
f=0.1005 compared to 0.1818 at start
Sum of all dx steps : 0.410 compared to direct step of 0.236 (ratio is 1.74:1)
|g|=0.1460u compared to 1.6261 at start

Final X vector :     -0.004433072,  0.014482394, -0.075287337,  0.075286337,  0.106556296, -0.106320977,  0.103515124, -0.103752460
Compared to start X :  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000,  0.000000000
X(start)-X(final) :  0.004433 -0.014482  0.075287 -0.075286 -0.106556  0.106321 -0.103515  0.103752 
Final G vector :      0.000000017, -0.000000103,  0.000000035, -0.000000095,  0.000000004,  0.000000009,  0.000000007, -0.000000004
Compared to start G :  0.614819868, -0.696085688,  0.794482811, -1.068524723, -0.046630854,  0.074557176, -0.018612411, -0.022353159

Real final Hessian matrix H : 
11.113935, -1.239621,  7.282046,  0.551619, -2.327235, -0.689672, -0.901312, -2.027869
-1.239621, 11.112951,  0.551547,  7.281138, -0.901370, -2.027928, -2.327259, -0.689659
 7.282046,  0.551547, 10.337877, -0.596504, -1.657694, -1.373425, -1.178992, -1.804044
 0.551619,  7.281138, -0.596504, 10.336831, -1.178991, -1.803957, -1.657857, -1.373458
-2.327235, -0.901370, -1.657694, -1.178991,  1.749726,  1.431296,  0.343731,  0.446306
-0.689672, -2.027928, -1.373425, -1.803957,  1.431296,  1.822898,  0.446300,  0.343575
-0.901312, -2.327259, -1.178992, -1.657857,  0.343731,  0.446300,  1.749492,  1.431283
-2.027869, -0.689659, -1.804044, -1.373458,  0.446306,  0.343575,  1.431283,  1.823114

RMS value of diagonal matrix entries : 7.69
RMS value of non-diagonal entries : 2.34
Ratio of RMS values : 3.286:1

Real final inverse Hessian matrix iH : 
 0.441340,  0.026342, -0.252732, -0.088159,  0.964676, -0.844606, -0.149191,  0.224509
 0.026342,  0.441427, -0.088116, -0.252699, -0.149254,  0.224718,  0.964957, -0.844657
-0.252732, -0.088116,  0.305397,  0.140400, -0.449634,  0.519107, -0.109528,  0.191756
-0.088159, -0.252699,  0.140400,  0.305377, -0.109641,  0.191846, -0.449508,  0.518921
 0.964676, -0.149254, -0.449634, -0.109641,  3.999854, -3.375076, -0.426889,  0.481037
-0.844606,  0.224718,  0.519107,  0.191846, -3.375076,  3.675183,  0.481467, -0.440613
-0.149191,  0.964957, -0.109528, -0.449508, -0.426889,  0.481467,  4.000967, -3.375236
 0.224509, -0.844657,  0.191756,  0.518921,  0.481037, -0.440613, -3.375236,  3.674491

inverse H from BFGS : 
 0.435096,  0.022888, -0.246339, -0.084986,  0.956613, -0.844171, -0.161630,  0.242445
 0.022888,  0.444842, -0.087181, -0.255868, -0.145740,  0.216745,  0.971432, -0.853576
-0.246339, -0.087181,  0.301837,  0.139607, -0.451109,  0.523736, -0.108461,  0.190322
-0.084986, -0.255868,  0.139607,  0.309037, -0.116111,  0.203634, -0.453747,  0.527224
 0.956613, -0.145740, -0.451109, -0.116111,  3.997859, -3.390788, -0.426942,  0.474768
-0.844171,  0.216745,  0.523736,  0.203634, -3.390788,  3.705819,  0.476915, -0.429017
-0.161630,  0.971432, -0.108461, -0.453747, -0.426942,  0.476915,  4.027203, -3.403443
 0.242445, -0.853576,  0.190322,  0.527224,  0.474768, -0.429017, -3.403443,  3.708625

Sign mismatches in matrices : 0 of 64 (0.00%)
Normalized average entry difference in matrices : 0.57%
Hint : Angle between S via iH and real iH is 0.00. Length ratio is 1.01:1.
Eigenvalues of real final iH :  8.457966177,  6.618427869,  0.573559125,  0.478999648,  0.411817016,  0.199250233,  0.053743442,  0.050270665
Eigenvalues of final BFGS iH :  8.493263321,  6.671820187,  0.576117816,  0.473493449,  0.411676164,  0.199471394,  0.053908252,  0.050567881

Eigenvector 1 :  0.133678283, -0.134612727, -0.041570439,  0.042461445,  0.494109084, -0.476083876, -0.504805695,  0.484613270
Eigenvector 2 :  0.117324002,  0.119303696, -0.106116238, -0.107392637,  0.504212662, -0.479815425,  0.494897397, -0.468861587
Eigenvector 3 :  0.082499707,  0.067032292,  0.265394298,  0.279016566,  0.461981023,  0.445685786,  0.472356091,  0.453027075
Eigenvector 4 :  0.502411934,  0.518144613, -0.434045298, -0.449157173, -0.053500120,  0.169155974,  0.010891471,  0.239533487
Eigenvector 5 :  0.025005245,  0.040490977, -0.024806449, -0.034868648,  0.494441053,  0.525484204, -0.486055916, -0.488925432
Eigenvector 6 : -0.455353826,  0.447168383,  0.545765459, -0.515809918,  0.084468473, -0.085484920, -0.076304801,  0.092241566
Eigenvector 7 :  0.569982882, -0.480878711,  0.504902159, -0.420579011, -0.067881460,  0.035513337,  0.034269637, -0.070843397
Eigenvector 8 :  0.419867107,  0.511698599,  0.418067342,  0.512746565, -0.170652590, -0.176548067, -0.183743547, -0.173590313

Post-evaluation of optimization progress :
Step size parameter t : maximum=5.062, minimum=56.501m, average=1.261

Gradient reached geometric mean of max(final value,goal)=0.15u and start value (go=1.63) at iteration 11
Function decreased already by 99% at iteration 6
Function decreased already by 99.9% at iteration 7
All parameters at better than 3% to final ones already at iteration 7
All parameters at better than 1% to final ones already at iteration 8

