Standard output
--------
NEWTON START
-------
Root: 0.8655
Initialization Done? true [0.026199999999999998 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.0182 msec]
Root: 0.8654740350009617
Num Iterations: 3
Num OF Calculations: 4
Num OF Derivative Calculations: 3
--------
NEWTON FINISH
-------
--------
BISECTION START
-------
Root: 0.8655
Initialization Done? true [0.049499999999999995 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.019899999999999998 msec]
Root: 0.8654740312499999
Num Iterations: 23
Num OF Calculations: 24
Num OF Derivative Calculations: 0
--------
BISECTION FINISH
-------
--------
FALSE POSITION START
-------
Root: 0.8655
Initialization Done? true [0.0217 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.06559999999999999 msec]
Root: 0.8654740280214827
Num Iterations: 9
Num OF Calculations: 10
Num OF Derivative Calculations: 0
--------
FALSE POSITION FINISH
-------
--------
QUADRATIC INTERPOLATION START
-------
Root: 0.8655
Initialization Done? true [0.014499999999999999 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.0173 msec]
Root: 0.8654740331031815
Num Iterations: 3
Num OF Calculations: 7
Num OF Derivative Calculations: 0
--------
QUADRATIC INTERPOLATION FINISH
-------
--------
INVERSE QUADRATIC INTERPOLATION START
-------
Root: 0.8655
Initialization Done? true [0.037 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.02 msec]
Root: 0.8654740329167204
Num Iterations: 5
Num OF Calculations: 11
Num OF Derivative Calculations: 0
--------
INVERSE QUADRATIC INTERPOLATION FINISH
-------
--------
RIDDER START
-------
Root: 0.8655
Initialization Done? true [0.0156 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.1124 msec]
Root: 0.865474026871266
Num Iterations: 78
Num OF Calculations: 157
Num OF Derivative Calculations: 0
--------
RIDDER FINISH
-------
--------
BRENT START
-------
Root: 0.8655
Initialization Done? true [0.0126 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.0353 msec]
Root: 0.8654740330962323
Num Iterations: 7
Num OF Calculations: 15
Num OF Derivative Calculations: 0
--------
BRENT FINISH
-------
--------
ZHENG START
-------
Root: 0.8655
Initialization Done? true [0.0132 msec]
Num Iterations: 20
Num OF Calculations: 2
Num OF Derivative Calculations: 0
Starting Variate: 0.786431
Left Bracket: 0.524287
Right Bracket: 1.048575
Left OF: 0.7215667230693629
Right OF: -0.6541115856952653
Root finding Done? true [0.0033 msec]
Root: 0.8654740329167204
Num Iterations: 5
Num OF Calculations: 11
Num OF Derivative Calculations: 0
--------
ZHENG FINISH
-------
-------------------------------------
Actual : 1.71828183
Linear : 1.71828183
MidPoint : 1.64872127
Trapezoidal : 1.85914091
Simpson : 1.71886115
Simpson 38 : 1.71854015
Boole : 1.71828269
-------------------------------------
Actual : 0.59147098
Linear : 0.59147099
MidPoint : 0.75258256
Trapezoidal : 0.27015115
Simpson : 0.59177209
Simpson 38 : 0.59160437
Boole : 0.59147054
-------------------------------------
Actual : 0.25000000
Linear : 0.25000000
MidPoint : 0.37500000
Trapezoidal : 0.00000000
Simpson : 0.25000000
Simpson 38 : 0.25000000
Boole : 0.25000000
-------------------------------------
|--------------------------------------------|
| u => NO CORECT | ROT COUNT | KAHL JACKEL |
|--------------------------------------------|
| 00 => -0.000935 | -0.130128 | 0.008522 |
| 00 => -0.010139 | -0.994255 | 0.096748 |
| 00 => -0.018632 | -1.295302 | 0.201595 |
| 00 => -0.025875 | -1.435363 | 0.346816 |
| 00 => -0.031499 | -1.512928 | 0.579630 |
| 01 => -0.035322 | -1.554780 | 0.989296 |
| 01 => -0.037333 | 1.569576 | -1.546813 |
| 01 => -0.037650 | 1.565074 | -1.032413 |
| 01 => -0.036474 | 1.560912 | -0.735238 |
| 01 => -0.034044 | 1.556874 | -0.565419 |
| 01 => -0.030608 | 1.552946 | -0.458433 |
| 01 => -0.026402 | 1.549150 | -0.384576 |
| 01 => -0.021636 | 1.545503 | -0.329831 |
| 01 => -0.016494 | 1.542016 | -0.286998 |
| 01 => -0.011127 | 1.538692 | -0.252063 |
| 02 => -0.005660 | 1.535531 | -0.222636 |
| 02 => -0.000194 | 1.532529 | -0.197214 |
| 02 => 0.005194 | 1.529680 | -0.174807 |
| 02 => 0.010445 | 1.526977 | -0.154737 |
| 02 => 0.015514 | 1.524412 | -0.136529 |
| 02 => 0.020369 | 1.521978 | -0.119837 |
| 02 => 0.024988 | 1.519667 | -0.104406 |
| 02 => 0.029358 | 1.517471 | -0.090043 |
| 02 => 0.033471 | 1.515384 | -0.076602 |
| 02 => 0.037326 | 1.513399 | -0.063967 |
| 03 => 0.040923 | 1.511510 | -0.052050 |
| 03 => 0.044268 | 1.509711 | -0.040778 |
| 03 => 0.047367 | 1.507997 | -0.030097 |
| 03 => 0.050228 | 1.506363 | -0.019960 |
| 03 => 0.052862 | 1.504805 | -0.010331 |
| 03 => 0.055279 | 1.503318 | -0.001181 |
| 03 => 0.057489 | 1.501898 | 0.007513 |
| 03 => 0.059504 | 1.500542 | 0.015772 |
| 03 => 0.061335 | 1.499246 | 0.023611 |
| 03 => 0.062992 | 1.498007 | 0.031044 |
| 04 => 0.064486 | 1.496822 | 0.038081 |
| 04 => 0.065828 | 1.495687 | 0.044732 |
| 04 => 0.067028 | 1.494602 | 0.051006 |
| 04 => 0.068094 | 1.493562 | 0.056911 |
| 04 => 0.069037 | 1.492566 | 0.062454 |
| 04 => 0.069865 | 1.530716 | 0.067643 |
| 04 => 0.070586 | 1.543662 | 0.072486 |
| 04 => 0.071208 | 1.550183 | 0.076989 |
| 04 => 0.071739 | 1.554115 | 0.081161 |
| 04 => 0.072184 | 1.556748 | 0.085011 |
| 05 => 0.072551 | 1.558636 | 0.088548 |
| 05 => 0.072845 | 1.560057 | 0.091782 |
| 05 => 0.073073 | 1.561167 | 0.094723 |
| 05 => 0.073238 | 1.562058 | 0.097381 |
| 05 => 0.073347 | 1.562790 | 0.099768 |
| 05 => 0.073404 | 1.563402 | 0.101895 |
| 05 => 0.073413 | 1.563922 | 0.103775 |
| 05 => 0.073378 | 1.564370 | 0.105420 |
| 05 => 0.073303 | 1.564760 | 0.106842 |
| 05 => 0.073190 | 1.565102 | 0.108054 |
| 06 => 0.073044 | 1.565406 | 0.109069 |
| 06 => 0.072867 | 1.565677 | 0.109899 |
| 06 => 0.072662 | 1.565920 | 0.110557 |
| 06 => 0.072431 | 1.566140 | 0.111055 |
| 06 => 0.072177 | 1.566340 | 0.111405 |
| 06 => 0.071902 | 1.566523 | 0.111618 |
| 06 => 0.071607 | 1.566690 | 0.111707 |
| 06 => 0.071296 | 1.566844 | 0.111682 |
| 06 => 0.070968 | 1.566986 | 0.111553 |
| 06 => 0.070627 | 1.567118 | 0.111331 |
| 07 => 0.070273 | 1.567241 | 0.111023 |
| 07 => 0.069908 | 1.567355 | 0.110641 |
| 07 => 0.069532 | 1.567462 | 0.110191 |
| 07 => 0.069148 | 1.567562 | 0.109681 |
| 07 => 0.068756 | 1.567656 | 0.109119 |
| 07 => 0.068358 | 1.567745 | 0.108511 |
| 07 => 0.067953 | 1.567828 | 0.107864 |
| 07 => 0.067543 | 1.567907 | 0.107182 |
| 07 => 0.067129 | 1.567982 | 0.106471 |
| 07 => 0.066712 | 1.568052 | 0.105736 |
| 08 => 0.066291 | 1.568119 | 0.104981 |
| 08 => 0.065868 | 1.568183 | 0.104210 |
| 08 => 0.065443 | 1.568244 | 0.103425 |
| 08 => 0.065017 | 1.568302 | 0.102630 |
| 08 => 0.064590 | 1.568357 | 0.101829 |
| 08 => 0.064163 | 1.568410 | 0.101022 |
| 08 => 0.063735 | 1.568460 | 0.100213 |
| 08 => 0.063308 | 1.568509 | 0.099403 |
| 08 => 0.062882 | 1.568555 | 0.098593 |
| 08 => 0.062456 | 1.568599 | 0.097786 |
| 09 => 0.062032 | 1.568642 | 0.096981 |
| 09 => 0.061609 | 1.568683 | 0.096182 |
| 09 => 0.061188 | 1.568723 | 0.095387 |
| 09 => 0.060769 | 1.568761 | 0.094599 |
| 09 => 0.060352 | 1.568797 | 0.093817 |
| 09 => 0.059937 | 1.568832 | 0.093042 |
| 09 => 0.059525 | 1.568866 | 0.092275 |
| 09 => 0.059115 | 1.568899 | 0.091516 |
| 09 => 0.058708 | 1.568931 | 0.090765 |
| 09 => 0.058303 | 1.568962 | 0.090022 |
| 10 => 0.057902 | 1.568991 | 0.089289 |
| 10 => 0.057503 | 1.569020 | 0.088563 |
| 10 => 0.057108 | 1.569048 | 0.087847 |
| 10 => 0.056716 | 1.569075 | 0.087139 |
| 10 => 0.056326 | 1.569101 | 0.086441 |
| 10 => 0.055941 | 1.569126 | 0.085751 |
| 10 => 0.055558 | 1.569151 | 0.085070 |
| 10 => 0.055179 | 1.569175 | 0.084397 |
| 10 => 0.054803 | 1.569198 | 0.083734 |
| 10 => 0.054430 | 1.569220 | 0.083079 |
| 11 => 0.054061 | 1.569242 | 0.082432 |
| 11 => 0.053695 | 1.569264 | 0.081794 |
| 11 => 0.053333 | 1.569284 | 0.081165 |
| 11 => 0.052974 | 1.569304 | 0.080544 |
| 11 => 0.052618 | 1.569324 | 0.079930 |
| 11 => 0.052266 | 1.569343 | 0.079325 |
| 11 => 0.051918 | 1.569362 | 0.078728 |
| 11 => 0.051573 | 1.569380 | 0.078139 |
| 11 => 0.051231 | 1.569398 | 0.077557 |
| 11 => 0.050892 | 1.569415 | 0.076983 |
| 12 => 0.050557 | 1.569432 | 0.076417 |
| 12 => 0.050226 | 1.569448 | 0.075857 |
| 12 => 0.049898 | 1.569464 | 0.075306 |
| 12 => 0.049573 | 1.569480 | 0.074761 |
| 12 => 0.049251 | 1.569495 | 0.074223 |
| 12 => 0.048933 | 1.569510 | 0.073692 |
| 12 => 0.048618 | 1.569525 | 0.073168 |
| 12 => 0.048306 | 1.569539 | 0.072651 |
| 12 => 0.047997 | 1.569553 | 0.072140 |
| 12 => 0.047692 | 1.569567 | 0.071636 |
| 13 => 0.047390 | 1.569580 | 0.071138 |
| 13 => 0.047091 | 1.569593 | 0.070646 |
| 13 => 0.046795 | 1.569606 | 0.070160 |
| 13 => 0.046502 | 1.569618 | 0.069681 |
| 13 => 0.046212 | 1.569631 | 0.069208 |
| 13 => 0.045925 | 1.569643 | 0.068740 |
| 13 => 0.045641 | 1.569654 | 0.068278 |
| 13 => 0.045360 | 1.569666 | 0.067822 |
| 13 => 0.045082 | 1.569677 | 0.067372 |
| 13 => 0.044807 | 1.569688 | 0.066927 |
| 14 => 0.044535 | 1.569699 | 0.066487 |
| 14 => 0.044266 | 1.569710 | 0.066053 |
| 14 => 0.043999 | 1.569720 | 0.065624 |
| 14 => 0.043735 | 1.569730 | 0.065200 |
| 14 => 0.043474 | 1.569740 | 0.064781 |
| 14 => 0.043215 | 1.569750 | 0.064367 |
| 14 => 0.042960 | 1.569760 | 0.063958 |
| 14 => 0.042706 | 1.569769 | 0.063554 |
| 14 => 0.042456 | 1.569779 | 0.063155 |
| 14 => 0.042208 | 1.569788 | 0.062760 |
| 15 => 0.041962 | 1.569797 | 0.062370 |
| 15 => 0.041720 | 1.569806 | 0.061984 |
| 15 => 0.041479 | 1.569815 | 0.061603 |
| 15 => 0.041241 | 1.569823 | 0.061226 |
| 15 => 0.041006 | 1.569831 | 0.060854 |
| 15 => 0.040772 | 1.569840 | 0.060486 |
| 15 => 0.040542 | 1.569848 | 0.060122 |
| 15 => 0.040313 | 1.569856 | 0.059762 |
| 15 => 0.040087 | 1.569864 | 0.059406 |
| 15 => 0.039863 | 1.569871 | 0.059054 |
| 16 => 0.039641 | 1.569879 | 0.058706 |
| 16 => 0.039422 | 1.569886 | 0.058362 |
| 16 => 0.039204 | 1.569894 | 0.058022 |
| 16 => 0.038989 | 1.569901 | 0.057686 |
| 16 => 0.038776 | 1.569908 | 0.057353 |
| 16 => 0.038566 | 1.569915 | 0.057024 |
| 16 => 0.038357 | 1.569922 | 0.056698 |
| 16 => 0.038150 | 1.569929 | 0.056376 |
| 16 => 0.037945 | 1.569935 | 0.056057 |
| 16 => 0.037743 | 1.569942 | 0.055742 |
| 17 => 0.037542 | 1.569948 | 0.055430 |
| 17 => 0.037343 | 1.569955 | 0.055122 |
| 17 => 0.037146 | 1.569961 | 0.054817 |
| 17 => 0.036951 | 1.569967 | 0.054515 |
| 17 => 0.036758 | 1.569973 | 0.054216 |
| 17 => 0.036567 | 1.569979 | 0.053920 |
| 17 => 0.036377 | 1.569985 | 0.053627 |
| 17 => 0.036190 | 1.569991 | 0.053338 |
| 17 => 0.036004 | 1.569997 | 0.053051 |
| 17 => 0.035820 | 1.570003 | 0.052767 |
| 18 => 0.035638 | 1.570008 | 0.052486 |
| 18 => 0.035457 | 1.570014 | 0.052208 |
| 18 => 0.035278 | 1.570019 | 0.051933 |
| 18 => 0.035101 | 1.570025 | 0.051661 |
| 18 => 0.034925 | 1.570030 | 0.051391 |
| 18 => 0.034751 | 1.570035 | 0.051124 |
| 18 => 0.034579 | 1.570040 | 0.050860 |
| 18 => 0.034408 | 1.570045 | 0.050598 |
| 18 => 0.034239 | 1.570050 | 0.050339 |
| 18 => 0.034071 | 1.570055 | 0.050083 |
| 19 => 0.033905 | 1.570060 | 0.049829 |
| 19 => 0.033741 | 1.570065 | 0.049577 |
| 19 => 0.033578 | 1.570070 | 0.049328 |
| 19 => 0.033416 | 1.570075 | 0.049081 |
| 19 => 0.033256 | 1.570079 | 0.048837 |
| 19 => 0.033097 | 1.570084 | 0.048595 |
| 19 => 0.032940 | 1.570088 | 0.048355 |
| 19 => 0.032784 | 1.570093 | 0.048118 |
| 19 => 0.032629 | 1.570097 | 0.047883 |
| 19 => 0.032476 | 1.570102 | 0.047650 |
| 20 => 0.032324 | 1.570106 | 0.047419 |
| 20 => 0.032174 | 1.570110 | 0.047190 |
| 20 => 0.032025 | 1.570114 | 0.046964 |
| 20 => 0.031877 | 1.570118 | 0.046740 |
| 20 => 0.031730 | 1.570123 | 0.046517 |
| 20 => 0.031585 | 1.570127 | 0.046297 |
| 20 => 0.031441 | 1.570131 | 0.046079 |
| 20 => 0.031298 | 1.570135 | 0.045862 |
| 20 => 0.031157 | 1.570138 | 0.045648 |
| 20 => 0.031016 | 1.570142 | 0.045436 |
| 21 => 0.030877 | 1.570146 | 0.045225 |
| 21 => 0.030739 | 1.570150 | 0.045017 |
| 21 => 0.030602 | 1.570154 | 0.044810 |
| 21 => 0.030467 | 1.570157 | 0.044605 |
| 21 => 0.030332 | 1.570161 | 0.044402 |
| 21 => 0.030199 | 1.570165 | 0.044201 |
| 21 => 0.030067 | 1.570168 | 0.044001 |
| 21 => 0.029936 | 1.570172 | 0.043804 |
| 21 => 0.029805 | 1.570175 | 0.043608 |
| 21 => 0.029676 | 1.570179 | 0.043413 |
| 22 => 0.029549 | 1.570182 | 0.043221 |
| 22 => 0.029422 | 1.570185 | 0.043030 |
| 22 => 0.029296 | 1.570189 | 0.042840 |
| 22 => 0.029171 | 1.570192 | 0.042653 |
| 22 => 0.029047 | 1.570195 | 0.042467 |
| 22 => 0.028924 | 1.570198 | 0.042282 |
| 22 => 0.028803 | 1.570202 | 0.042099 |
| 22 => 0.028682 | 1.570205 | 0.041918 |
| 22 => 0.028562 | 1.570208 | 0.041738 |
| 22 => 0.028443 | 1.570211 | 0.041559 |
| 23 => 0.028325 | 1.570214 | 0.041382 |
| 23 => 0.028208 | 1.570217 | 0.041207 |
| 23 => 0.028092 | 1.570220 | 0.041033 |
| 23 => 0.027977 | 1.570223 | 0.040860 |
| 23 => 0.027863 | 1.570226 | 0.040689 |
| 23 => 0.027749 | 1.570229 | 0.040519 |
| 23 => 0.027637 | 1.570232 | 0.040351 |
| 23 => 0.027525 | 1.570235 | 0.040184 |
| 23 => 0.027414 | 1.570238 | 0.040018 |
| 23 => 0.027305 | 1.570240 | 0.039854 |
| 24 => 0.027195 | 1.570243 | 0.039691 |
| 24 => 0.027087 | 1.570246 | 0.039529 |
| 24 => 0.026980 | 1.570249 | 0.039368 |
| 24 => 0.026873 | 1.570251 | 0.039209 |
| 24 => 0.026768 | 1.570254 | 0.039051 |
| 24 => 0.026663 | 1.570257 | 0.038895 |
| 24 => 0.026558 | 1.570259 | 0.038739 |
| 24 => 0.026455 | 1.570262 | 0.038585 |
| 24 => 0.026353 | 1.570264 | 0.038432 |
| 24 => 0.026251 | 1.570267 | 0.038280 |
| 25 => 0.026150 | 1.570269 | 0.038129 |
| 25 => 0.026049 | 1.570272 | 0.037980 |
| 25 => 0.025950 | 1.570274 | 0.037832 |
| 25 => 0.025851 | 1.570277 | 0.037684 |
| 25 => 0.025753 | 1.570279 | 0.037538 |
|--------------------------------------------|