    x              T(x, 10)       Exact value		      |
							      >
							      >	    x              T(x, 7)       Exact value
0.000000  exp | 1.000000000000  1.000000000000			0.000000  exp | 1.000000000000  1.000000000000
          sin | 0.000000000000  0.000000000000			          sin | 0.000000000000  0.000000000000
          cos | 1.000000000000  1.000000000000			          cos | 1.000000000000  1.000000000000

0.010000  exp | 1.010050167084  1.010050167084			0.010000  exp | 1.010050167084  1.010050167084
          sin | 0.009999833334  0.009999833334			          sin | 0.009999833334  0.009999833334
          cos | 0.999950000417  0.999950000417			          cos | 0.999950000417  0.999950000417

							      >
							      >
0.020000  exp | 1.020201340027  1.020201340027			0.020000  exp | 1.020201340027  1.020201340027
          sin | 0.019998666693  0.019998666693			          sin | 0.019998666693  0.019998666693
          cos | 0.999800006667  0.999800006667			          cos | 0.999800006667  0.999800006667

							      >
							      >
0.030000  exp | 1.030454533954  1.030454533954			0.030000  exp | 1.030454533954  1.030454533954
          sin | 0.029995500202  0.029995500202			          sin | 0.029995500202  0.029995500202
          cos | 0.999550033749  0.999550033749			          cos | 0.999550033749  0.999550033749

							      >
							      >
0.040000  exp | 1.040810774192  1.040810774192			0.040000  exp | 1.040810774192  1.040810774192
          sin | 0.039989334187  0.039989334187			          sin | 0.039989334187  0.039989334187
          cos | 0.999200106661  0.999200106661			          cos | 0.999200106661  0.999200106661
							      <
0.050000  exp | 1.051271096376  1.051271096376			0.050000  exp | 1.051271096376  1.051271096376
          sin | 0.049979169271  0.049979169271			          sin | 0.049979169271  0.049979169271
          cos | 0.998750260395  0.998750260395			          cos | 0.998750260395  0.998750260395

							      >	********************************
							      >
0.060000  exp | 1.061836546545  1.061836546545			0.060000  exp | 1.061836546545  1.061836546545
          sin | 0.059964006479  0.059964006479			          sin | 0.059964006479  0.059964006479
          cos | 0.998200539935  0.998200539935			          cos | 0.998200539935  0.998200539935

							      >
							      >
0.070000  exp | 1.072508181254  1.072508181254			0.070000  exp | 1.072508181254  1.072508181254
          sin | 0.069942847338  0.069942847338			          sin | 0.069942847338  0.069942847338
          cos | 0.997551000253  0.997551000253			          cos | 0.997551000253  0.997551000253

							      >	   	  ---- Added a line ---
							      >
0.080000  exp | 1.083287067675  1.083287067675			0.080000  exp | 1.083287067675  1.083287067675
          sin | 0.079914693969  0.079914693969			          sin | 0.079914693969  0.079914693969
          cos | 0.996801706303  0.996801706303			          cos | 0.996801706303  0.996801706303

0.090000  exp | 1.094174283705  1.094174283705			0.090000  exp | 1.094174283705  1.094174283705
          sin | 0.089878549198  0.089878549198			          sin | 0.089878549198  0.089878549198
          cos | 0.995952733012  0.995952733012		      <

0.100000  exp | 1.105170918076  1.105170918076			0.100000  exp | 1.105170918075  1.105170918076
          sin | 0.099833416647  0.099833416647			          sin | 0.099833416647  0.099833416647
          cos | 0.995004165278  0.995004165278			          cos | 0.995004165278  0.995004165278

							      >
							      >
0.110000  exp | 1.116278070459  1.116278070459			0.110000  exp | 1.116278070458  1.116278070459
          sin | 0.109778300837  0.109778300837			          sin | 0.109778300837  0.109778300837
          cos | 0.993956097957  0.993956097957			          cos | 0.993956097956  0.993956097957

0.120000  exp | 1.127496851579  1.127496851579			0.120000  exp | 1.127496851578  1.127496851579
          sin | 0.119712207289  0.119712207289			          sin | 0.119712207289  0.119712207289
          cos | 0.992808635854  0.992808635854			          cos | 0.992808635853  0.992808635854

0.130000  exp | 1.138828383325  1.138828383325		      |	0.130000  exp | *.138828383323  1.138828383325
          sin | 0.129634142620  0.129634142620			          sin | 0.129634142620  0.129634142620
          cos | 0.991561893715  0.991561893715			          cos | 0.991561893713  0.991561893715

0.140000  exp | 1.150273798857  1.150273798857			0.140000  exp | 1.150273798854  1.150273798857
          sin | 0.139543114644  0.139543114644			          sin | 0.139543114644  0.139543114644
          cos | 0.990215996213  0.990215996213			          cos | 0.990215996209  0.990215996213

							      >
							      >
							      >
0.150000  exp | 1.161834242728  1.161834242728			0.150000  exp | 1.161834242722  1.161834242728
          sin | 0.149438132474  0.149438132474			          sin | 0.149438132473  0.149438132474
          cos | 0.988771077936  0.988771077936			          cos | 0.988771077930  0.988771077936

0.160000  exp | 1.173510870992  1.173510870992			0.160000  exp | 1.173510870981  1.173510870992
          sin | 0.159318206614  0.159318206614			          sin | 0.159318206614  0.159318206614
          cos | 0.987227283376  0.987227283376			          cos | 0.987227283365  0.987227283376

							      >	----------------------------------------------
							      >
0.170000  exp | 1.185304851320  1.185304851320			0.170000  exp | 1.185304851303  1.185304851320
          sin | 0.169182349067  0.169182349067			          sin | 0.169182349067  0.169182349067
          cos | 0.985584766910  0.985584766910			          cos | 0.985584766892  0.985584766910

0.180000  exp | 1.197217363122  1.197217363122			0.180000  exp | 1.197217363094  1.197217363122
          sin | 0.179029573426  0.179029573426			          sin | 0.179029573425  0.179029573426
          cos | 0.983843692788  0.983843692788			          cos | 0.983843692761  0.983843692788

0.190000  exp | 1.209249597657  1.209249597657			0.190000  exp | 1.209249597614  1.209249597657
          sin | 0.188858894977  0.188858894977			          sin | 0.188858894976  0.188858894977
          cos | 0.982004235117  0.982004235117			          cos | 0.982004235075  0.982004235117

0.200000  exp | 1.221402758160  1.221402758160			0.200000  exp | 1.221402758095  1.221402758160
          sin | 0.198669330795  0.198669330795			          sin | 0.198669330794  0.198669330795
          cos | 0.980066577841  0.980066577841			          cos | 0.980066577778  0.980066577841

							      >
							      >		      ---------------------
							      >
0.210000  exp | 1.233678059957  1.233678059957			0.210000  exp | 1.233678059861  1.233678059957
          sin | 0.208459899846  0.208459899846			          sin | 0.208459899844  0.208459899846
          cos | 0.978030914724  0.978030914724			          cos | 0.978030914630  0.978030914724

0.220000  exp | 1.246076730587  1.246076730587		      |	0.220000  exp | 
          sin | 0.218229623081  0.218229623081			          sin | 0.218229623078  0.218229623081
          cos | 0.975897449331  0.975897449331			          cos | 0.975897449195  0.975897449331

							      >	           ++++	
							      >
0.230000  exp | 1.258600009929  1.258600009929			0.230000  exp | 1.258600009730  1.258600009929
          sin | 0.227977523535  0.227977523535			          sin | 0.227977523530  0.227977523535
          cos | 0.973666395005  0.973666395005			          cos | 0.973666394811  0.973666395005

0.240000  exp | 1.271249150321  1.271249150321			0.240000  exp | 1.271249150041  1.271249150321
          sin | 0.237702626427  0.237702626427			          sin | 0.237702626420  0.237702626427
          cos | 0.971337974852  0.971337974852			          cos | 0.971337974579  0.971337974852

0.250000  exp | 1.284025416688  1.284025416688		      |	0.250000  exp | 1.28402541629$  1.284025416688
          sin | 0.247403959255  0.247403959255		      |	          cos | 0.968912421332  0.968912421711      ~~~~ 12.3
          cos | 0.968912421711  0.968912421711		      <

0.260000  exp | 1.296930086666  1.296930086666			0.260000  exp | 1.296930086132  1.296930086666
          sin | 0.257080551892  0.257080551892			          sin | 0.257080551877  0.257080551892
          cos | 0.966389978135  0.966389978135			          cos | 0.966389977617  0.966389978135

							      >	--------------------------------------
							      >
							      >
0.270000  exp | 1.309964450733  1.309964450733			0.270000  exp | 1.309964450011  1.309964450733
          sin | 0.266731436689  0.266731436689			          sin | 0.266731436668  0.266731436689
          cos | 0.963770896366  0.963770896366			          cos | 0.963770895666  0.963770896366

0.280000  exp | 1.323129812337  1.323129812337			0.280000  exp | 1.323129811370  1.323129812337
          sin | 0.276355648564  0.276355648564			          sin | 0.276355648535  0.276355648564
          cos | 0.961055438311  0.961055438311			          cos | 0.961055437375  0.961055438311

0.290000  exp | 1.336427488025  1.336427488025			0.290000  exp | 1.336427486744  1.336427488025
          sin | 0.285952225105  0.285952225105			          sin | 0.285952225065  0.285952225105
          cos | 0.958243875513  0.958243875513			          cos | 0.958243874273  0.958243875513

0.300000  exp | 1.349858807576  1.349858807576			0.300000  exp | 1.349858805893  1.349858807576
          sin | 0.295520206661  0.295520206661			          sin | 0.295520206607  0.295520206661
          cos | 0.955336489126  0.955336489126			          cos | 0.955336487500  0.955336489126

							      >
0.310000  exp | 1.363425114132  1.363425114132			0.310000  exp | 1.363425111942  1.363425114132
          sin | 0.305058636444  0.305058636443			          sin | 0.305058636371  0.305058636443
          cos | 0.952333569886  0.952333569886		      |	          cos | 0.952333567773  
							      <
0.320000  exp | 1.377127764336  1.377127764336			0.320000  exp | 1.377127761509  1.377127764336
          sin | 0.314566560616  0.314566560616			          sin | 0.314566560519  0.314566560616
          cos | 0.949235418082  0.949235418082			          cos | 0.949235415359  0.949235418082

0.330000  exp | 1.390968128464  1.390968128464			0.330000  exp | 1.390968124843  1.390968128464
          sin | 0.324043028395  0.324043028395			          sin | 0.324043028267  0.324043028395
          cos | 0.946042343528  0.946042343528			          cos | 0.946042340044  0.946042343528

0.340000  exp | 1.404947590563  1.404947590564			0.340000  exp | 1.404947585961  1.404947590564
          sin | 0.333487092141  0.333487092141			          sin | 0.333487091974  0.333487092141
          cos | 0.942754665528  0.942754665528			          cos | 0.942754661105  0.942754665528
							      <
0.350000  exp | 1.419067548593  1.419067548593			0.350000  exp | 1.419067542783  1.419067548593
          sin | 0.342897807456  0.342897807455			          sin | 0.342897807238  0.342897807455
          cos | 0.939372712847  0.939372712847			          cos | 0.939372707270  0.939372712847

0.360000  exp | 1.433329414560  1.433329414560			0.360000  exp | 1.433329407273  1.433329414560
          sin | 0.352274233275  0.352274233275			          sin | 0.352274232996  0.352274233275
          cos | 0.935896823678  0.935896823678			          cos | 0.935896816691  0.935896823678

0.370000  exp | 1.447734614663  1.447734614663			0.370000  exp | 1.447734605580  1.447734614663
          sin | 0.361615431965  0.361615431965			          sin | 0.361615431607  0.361615431965
          cos | 0.932327345606  0.932327345606			          cos | 0.932327336908  0.932327345606

0.380000  exp | 1.462284589434  1.462284589434			0.380000  exp | 1.462284578178  1.462284589434
          sin | 0.370920469414  0.370920469413			          sin | 0.370920468958  0.370920469413
          cos | 0.928664635576  0.928664635577			          cos | 0.928664624811  0.928664635577

0.390000  exp | 1.476980793882  1.476980793883			0.390000  exp | 1.476980780010  1.476980793883
          sin | 0.380188415124  0.380188415123			          sin | 0.380188414549  0.380188415123
          cos | 0.924909059857  0.924909059857			          cos | 0.924909046606  0.924909059857

0.400000  exp | 1.491824697640  1.491824697641			0.400000  exp | 1.491824680635  1.491824697641
          sin | 0.389418342310  0.389418342309			          sin | 0.389418341587  0.389418342309
          cos | 0.921060994003  0.921060994003			          cos | 0.921060977778  0.921060994003

0.410000  exp | 1.506817785111  1.506817785113			0.410000  exp | 1.506817764368  1.506817785113
          sin | 0.398609327986  0.398609327984			          sin | 0.398609327084  0.398609327984
          cos | 0.917120822817  0.917120822817			          cos | 0.917120803050  0.917120822817

0.420000  exp | 1.521961555617  1.521961555619			0.420000  exp | 1.521961530435  1.521961555619
          sin | 0.407760453061  0.407760453060			          sin | 0.407760451941  0.407760453060
          cos | 0.913088940312  0.913088940312			          cos | 0.913088916345  0.913088940312

0.430000  exp | 1.537257523546  1.537257523548			0.430000  exp | 1.537257493113  1.537257523548
          sin | 0.416870802432  0.416870802429			          sin | 0.416870801047  0.416870802429
          cos | 0.908965749675  0.908965749675			          cos | 0.908965720746  0.908965749675
							      |	----------------------------------------------
0.440000  exp | 1.552707218508  1.552707218511			0.440000  exp | 1.552707181888  1.552707218511
          sin | 0.425939465069  0.425939465066			          sin | 0.425939463366  0.425939465066
          cos | 0.904751663220  0.904751663220			          cos | 0.904751628453  0.904751663220

0.450000  exp | 1.568312185486  1.568312185490			0.450000  exp | 1.568312141603  1.568312185490
          sin | 0.434965534115  0.434965534111			          sin | 0.434965532030  0.434965534111
          cos | 0.900447102353  0.900447102353			          cos | 0.900447060742  0.900447102353

							      >
							      >
							      >
0.460000  exp | 1.584073984989  1.584073984994			0.460000  exp | 1.584073932610  1.584073984994
          sin | 0.443948106970  0.443948106966			          sin | 0.443948104429  0.443948106966
          cos | 0.896052497525  0.896052497526			          cos | 0.896052447921  0.896052497526

0.470000  exp | 1.599994193211  1.599994193217		      |
							      >
							      >	0.470000  exp |       *         1.599994193217
          sin | 0.452886285385  0.452886285379			          sin | 0.452886282301  0.452886285379
          cos | 0.891568288195  0.891568288195			          cos | 0.891568229284  0.891568288195

0.480000  exp | 1.616074402185  1.616074402193		      |
							      >
							      >	0.480000  exp | 1.616074328389  1.616074402193          24.56
          sin | 0.461779175549  0.461779175541			          sin | 0.461779171822  0.461779175541
          cos | 0.886994922779  0.886994922779			          cos | 0.886994853069  0.886994922   

0.490000  exp | 1.632316219945  1.632316219955			0.490000  exp | 1.632316132815  1.632316219955
          sin | 0.470625888181  0.470625888171			          sin | 0.470625883693  0.470625888171
          cos | 0.882332858610  0.882332858610			          cos | 0.882332776407  0.882332858610

0.500000  exp | 1.648721270687  1.648721270700			0.500000  exp | 1.648721168155  1.648721270700
          sin | 0.479425538616  0.479425538604			          sin | 0.479425533234  0.479425538604
          cos | 0.877582561890  0.877582561890			          cos | 0.877582465278  0.877582561890

0.510000  exp | 1.665291194930  1.665291194946			0.510000  exp | 1.665291074658  1.665291194946
          sin | 0.488177246898  0.488177246883			          sin | 0.488177240466  0.488177246883
          cos | 0.872744507645  0.872744507646			          cos | 0.872744394461  0.872744507646

							      >	*1
							      >
							      >	*2
							      >
							      >	*3
							      >
0.520000  exp | 1.682027649679  1.682027649699			0.520000  exp | 1.682027509032  1.682027649699
          sin | 0.496880137863  0.496880137844			          sin | 0.496880130202  0.496880137844
          cos | 0.867819179677  0.867819179678			          cos | 0.867819047487  0.867819179678

0.530000  exp | 1.698932308594  1.698932308619			0.530000  exp | 1.698932144605  1.698932308619
          sin | 0.505533341228  0.505533341205			          sin | 0.505533332135  0.505533341205
          cos | 0.862807070514  0.862807070515			          cos | 0.862806916582  0.862807070515

0.540000  exp | 1.716006862155  1.716006862185			0.540000  exp | 1.716006671494  1.716006862185
          sin | 0.514135991682  0.514135991653			          sin | 0.514135980922  0.514135991653
          cos | 0.857708681363  0.857708681364			          cos | 0.857708502623  0.857708681364

0.550000  exp | 1.733253017831  1.733253017867			0.550000  exp | 1.733252796768  1.733253017867
          sin | 0.522687228965  0.522687228931			          sin | 0.522687216274  0.522687228931
          cos | 0.852524522058  0.852524522060			          cos | 0.852524315082  0.852524522060

							      >
							      >
0.560000  exp | 1.750672500251  1.750672500296			0.560000  exp | 1.750672244616  1.750672500296
          sin | 0.531186197963  0.531186197921			          sin | 0.531186183038  0.531186197921
          cos | 0.847255111011  0.847255111013			          cos | 0.847254871973  0.847255111013
							      <
0.570000  exp | 1.768267051379  1.768267051434			0.570000  exp | 1.768266756517  1.768267051434
          sin | 0.539632048786  0.539632048734			          sin | 0.539632031283  0.539632048734
          cos | 0.841900975160  0.841900975162			          cos | 0.841900699795  0.841900975162
							      <
0.580000  exp | 1.786038430684  1.786038430750			0.580000  exp | 1.786038091412  1.786038430750
          sin | 0.548023936854  0.548023936792			          sin | 0.548023916386  0.548023936792
          cos | 0.836462649912  0.836462649915			          cos | 0.836462333483  0.836462649915

0.590000  exp | 1.803988415318  1.803988415398			0.590000  exp | 1.803988025874  1.803988415398
          sin | 0.556361022988  0.556361022913			          sin | 0.556360999115  0.556361022913
          cos | 0.830940679096  0.830940679100			          cos | 0.830940316342  0.830940679100

0.600000  exp | 1.822118800295  1.822118800391			0.600000  exp | 1.822118354286  1.822118800391
          sin | 0.564642473486  0.564642473395			          sin | 0.564642445714  0.564642473395
          cos | 0.825335614905  0.825335614910			          cos | 0.825335200000  0.825335614910

0.610000  exp | 1.840431398667  1.840431398782			0.610000  exp | 1.840430889011  1.840431398782
          sin | 0.572867460209  0.572867460100			          sin | 0.572867427983  0.572867460100
          cos | 0.819648017840  0.819648017845			          cos | 0.819647544341  0.819648017845

0.620000  exp | 1.858928041709  1.858928041846			0.620000  exp | 1.858927460573  1.858928041846
          sin | 0.581035160667  0.581035160537			          sin | 0.581035123363  0.581035160537
          cos | 0.813878456656  0.813878456663			          cos | 0.813877917451  0.813878456663

0.630000  exp | 1.877610579100  1.877610579264			0.630000  exp | 1.877609917838  1.877610579264
          sin | 0.589144758097  0.589144757942			          sin | 0.589144715015  0.589144757942
          cos | 0.808027508304  0.808027508312			          cos | 0.808026895552  0.808027508312

							      >
							      >
0.640000  exp | 1.896480879110  1.896480879305			0.640000  exp | 1.896480128187  1.896480879305
          sin | 0.597195441547  0.597195441362			          sin | 0.597195391904  0.597195441362
          cos | 0.802095757874  0.802095757884			          cos | 0.802095062949  0.802095757884

0.650000  exp | 1.915540828782  1.915540829014			0.650000  exp | 1.915539977706  1.915540829014
          sin | 0.605186405955  0.605186405736			          sin | 0.605186348878  0.605186405736
          cos | 0.796083798537  0.796083798549			          cos | 0.796083011957  0.796083798549

0.660000  exp | 1.934792334128  1.934792334402			0.660000  exp | 1.934791371364  1.934792334402
          sin | 0.613116852232  0.613116851973		      <
          cos | 0.789992231483  0.789992231497			          cos | 0.789991342847  0.789992231497
							      <
0.670000  exp | 1.954237320312  1.954237320636			0.670000  exp | 1.954236233203  1.954237320636
          sin | 0.620985987342  0.620985987037			          sin | 0.620985912368  0.620985987037
          cos | 0.783821665864  0.783821665881			          cos | 0.783820663775  0.783821665881

0.680000  exp | 1.973877731849  1.973877732230			0.680000  exp | 1.973876506518  1.973877732230
          sin | 0.628793024378  0.628793024018			          sin | 0.628792938710  0.628793024018
          cos | 0.777572718731  0.777572718751			          cos | 0.777571590719  0.777572718751

							      >	#1#
							      >
0.690000  exp | 1.993715532795  1.993715533243			0.690000  exp | 1.993714154056  1.993715533243
          sin | 0.636537182644  0.636537182222			          sin | 0.636537084947  0.636537182222
          cos | 0.771246014973  0.771246014997			          cos | 0.771244747412  0.771246014997

0.700000  exp | 2.013752706945  2.013752707470			0.700000  exp | 2.013751158194  2.013752707470
          sin | 0.644217687732  0.644217687238			          sin | 0.644217576528  0.644217687238
          cos | 0.764842187256  0.764842187284			          cos | 0.764840765278  0.764842187284

0.710000  exp | 2.033991258032  2.033991258647			0.710000  exp | 2.033989521143  2.033991258647
          sin | 0.651833771599  0.651833771022			          sin | 0.651833645253  0.651833771022
          cos | 0.758361875956  0.758361875991			          cos | 0.758360283356  0.758361875991

0.720000  exp | 2.054433209926  2.054433210644			0.720000  exp | 2.054431265133  2.054433210644
          sin | 0.659384672645  0.659384671971			          sin | 0.659384529350  0.659384671971
          cos | 0.751805729100  0.751805729141			          cos | 0.751803948237  0.751805729141

							      >		      	
							      >
0.730000  exp | 2.075080606838  2.075080607674			0.730000  exp | 2.075078432611  2.075080607674
          sin | 0.666869635787  0.666869635004			          sin | 0.666869473553  0.666869635004
          cos | 0.745174402297  0.745174402345			          cos | 0.745172413991  0.745174402345

							      >	                     
							      >
0.740000  exp | 2.095935513522  2.095935514494			0.740000  exp | 2.095933086439  2.095935514494
          sin | 0.674287912538  0.674287911628			          sin | 0.674287729170  0.674287911628
          cos | 0.738468558673  0.738468558730			          cos | 0.738466342097  0.738468558730
							      <
0.750000  exp | 2.117000015484  2.117000016613			0.750000  exp | 2.116997310093  2.117000016613
          sin | 0.681638761078  0.681638760023			          sin | 0.681638554164  0.681638760023
          cos | 0.731688868808  0.731688868874			          cos | 0.731686401367  0.731688868874

							      >
							      >
							      >
0.760000  exp | 2.138276219190  2.138276220497			0.760000  exp | 2.138273207862  2.138276220497
          sin | 0.688921446330  0.688921445111			          sin | 0.688921213221  0.688921445111
          cos | 0.724836010664  0.724836010741			          cos | 0.724833267877  0.724836010741

0.770000  exp | 2.159766252275  2.159766253785			0.770000  exp | 2.159762905050  2.159766253785
          sin | 0.696135240035  0.696135238627			          sin | 0.696134977823  0.696135238627
          cos | 0.717910669521  0.717910669611			          cos | 0.717907624889  0.717910669611

0.780000  exp | 2.181472263757  2.181472265498			0.780000  exp | 2.181468548182  2.181472265498
          sin | 0.703279420823  0.703279419200			          sin | 0.703279126321  0.703279419200
          cos | 0.710913537907  0.710913538012			          cos | 0.710910162777  0.710913538012

0.790000  exp | 2.203396424251  2.203396426256			0.790000  exp | 2.203392305209  2.203396426256
          sin | 0.710353274284  0.710353272418			          sin | 0.710352944005  0.710353272418
          cos | 0.703845315529  0.703845315652			          cos | 0.703841578951  0.703845315652
							      |		      	 --------------------		
0.800000  exp | 2.225540926188  2.225540928492			0.800000  exp | 2.225536365714  2.225540928492
          sin | 0.717356093043  0.717356090900			          sin |  .717355723175  0.717356090900
          cos | 0.696706709204  0.696706709347			          cos |  .696702577778  0.696706709347

							      >		      ***  
							      >
0.810000  exp | 2.247907984032  2.247907986676			0.810     exp | 2.247902941124  2.247907986676
          sin | 0.724287176827  0.724287174370			          sin | 0.724286763206   .724287174370
          cos | 0.689498432786  0.689498432952			          cos | 0.689493870505   .689498432952

0.820000  exp | 2.270499834503  2.270499837532			 .820000  exp | 2.270494264918  2.270499837532
          sin | 0.731145832538  0.731145829727			          sin | 0.731145370624  0.731145829727
          cos | 0.682221207095  0.682221207288			          cos | 0.682216175179  0.682221207288

0.830000  exp | 2.293318736800  2.293318740264			0.830000  exp | 2.293312592842  2.293318740264
          sin | 0.737931374322  0.737931371110			          sin | 0.737930859165  0.737931371110
          cos | 0.674875759849  0.674875760071			          cos | 0.674870216565  0.674875760071

0.840000  exp | 2.316366972825  2.316366976781			0.840000  exp | 2.316360203125  2.316366976781
          sin | 0.744643123635  0.744643119971			          sin | 0.744642549848  0.744643119971
          cos | 0.667462825585  0.667462825841			          cos | 0.667456726067  0.667462825841

							      >
							      >
0.850000  exp | 2.339646847416  2.339646851926			0.850000  exp | 2.339639396691  2.339646851926
          sin | 0.751280409313  0.751280405140			          sin | 0.751279771039  0.751280405140
          cos | 0.659983145589  0.659983145885			          cos | 0.659976441645  0.659983145885

0.860000  exp | 2.363160688572  2.363160693706			0.860000  exp | 2.363152497382  2.363160693706
          sin | 0.757842567641  0.757842562895			          sin | 0.757841858515  0.757842562895
          cos | 0.652437467824  0.652437468164			          cos | 0.652430107     0.652437468164
							      <
0.870000  exp | 2.386910847689  2.386910853524			0.870000  exp | 2.386901852177  2.386910853524
          sin | 0.764328942414  0.764328937026			          sin | 0.764328155531  0.764328937026
          cos | 0.644826546849  0.644826547240			          cos | 0.644818475137  0.644826547240

0.880000  exp | 2.410899699795  2.410899706417			0.880000  exp | 2.410889831411  2.410899706417
          sin | 0.770738885008  0.770738878899			          sin | 0.770738012879  0.770738878899
          cos | 0.637151143750  0.637151144199			          cos | 0.637142300991  0.637151144199

							      >		      
							      >
0.890000  exp | 2.435129643784  2.435129651290			0.890000  exp | 2.435118829002  2.435129651290
          sin | 0.777071754444  0.777071747527			          sin | 0.777070788956  0.777071747527
          cos | 0.629412026060  0.629412026574			          cos | 0.629402348624  0.629412026574

0.900000  exp | 2.459603102662  2.459603111157			0.900000  exp | 2.459591262679  2.459603111157
          sin | 0.783326917448  0.783326909627			          sin | 0.783325849821  0.783326909627
          cos | 0.621609967684  0.621609968271			          cos | 0.621599387500  0.621609968271
							      <
0.910000  exp | 2.484322523784  2.484322533385			0.910000  exp | 2.484309574202  2.484322533385
          sin | 0.789503748521  0.789503739690			          sin | 0.789502569261  0.789503739690
          cos | 0.613745748819  0.613745749489			          cos | 0.613734193122  0.613745749489

							      >
							      >
0.920000  exp | 2.509290379099  2.509290389936			0.920000  exp | 2.509276229600  2.509290389936
          sin | 0.795601629994  0.795601620036			          sin | 0.795600328844  0.795601620036
          cos | 0.605820155879  0.605820156643		      <
							      <
0.930000  exp | 2.534509165401  2.534509177618			0.930000  exp | 2.534493719398  2.534509177618
          sin | 0.801619952098  0.801619940884			          sin | 0.801618517984  0.801619940884
          cos | 0.597833981418  0.597833982287			          cos | 0.597820236273  0.597833982287

0.940000  exp | 2.559981404575  2.559981418329			0.940000  exp | 2.559964558850  2.559981418329
          sin | 0.807558113017  0.807558100405			          sin | 0.807556533997  0.807558100405
          cos | 0.589788024042  0.589788025031			          cos | 0.589773054193  0.589788025031

0.950000  exp | 2.585709643850  2.585709659316			0.950000  exp | 2.585691288176  2.585709659316
          sin | 0.813415518957  0.813415504789			          sin | 0.813413782159  0.813415504789
          cos | 0.581683088341  0.581683089464			          cos | 0.581666799457  0.581683089464

							      >
0.960000  exp | 2.611696456053  2.611696473423			0.960000  exp | 2.611676472799  2.611696473423
          sin | 0.819191584196  0.819191568301			          sin | 0.819189675758  0.819191568301
          cos | 0.573519984800  0.573519986072			          cos | 0.573502276403  0.573519986072

							      >
0.970000  exp | 2.637944439870  2.637944459354			0.970000  exp | 2.637922703583  2.637944459354
          sin | 0.824885731151  0.824885713338		      |	          cos |        2x1xx1    .565299531160
          cos | 0.565299529719  0.565299531160		      <

0.980000  exp | 2.664456220098  2.664456241929			0.980000  exp | 2.664432597076  2.664456241929
          sin | 0.830497390429  0.830497370492			          sin | 0.830495092844  0.830497370492
          cos | 0.557022545137  0.557022546766			          cos | 0.557001670027  0.557022546766
							      <
0.990000  exp | 2.691234447917  2.691234472349			0.990000  exp | 2.691208795752  2.691234472349
          sin | 0.836026000890  0.836025978601			          sin | 0.836023483482  0.836025978601
          cos | 0.548689858741  0.548689860582			          cos | 0.548667222431  0.548689860582

							      >	*****	  Final 		addition	
							      >
1.000000  exp | 2.718281801146  2.718281828459			1.000000  exp | 2.718253968254  2.718281828459
          sin | 0.841471009700  0.841470984808			          sin | 0.841468253968  0.841470984808
          cos | 0.540302303792  0.540302305868		      <
							      <


+++  File "original" differs from file "modified"
