##############ECHO OF PROBLEM################# ##############temp/arcsin_c_arccos_c_arctan_cpostode.ode################# diff ( y , x , 1 ) = arcsin(0.1) + arccos(0.1) + arctan(0.1); ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 0.1; x_end = 5.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.05; glob_look_poles = true; glob_max_iter = 1000000; // END SECOND INPUT BLOCK // BEGIN OVERRIDE BLOCK glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 100; glob_max_minutes = 1; // END OVERRIDE BLOCK ! // BEGIN USER DEF BLOCK double exact_soln_y (double x) { return((arcsin(0.1) + arccos(0.1) + arctan(0.1)) * x); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.1670464979286059 y[1] (numeric) = 0.1670464979286059 absolute error = 0 relative error = 0 % Correct digits = 16 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10001 y[1] (analytic) = 0.1670632025783987 y[1] (numeric) = 0.1670632025783987 absolute error = 2.775557561562891e-17 relative error = 1.661381751771692e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.1670799072281916 y[1] (numeric) = 0.1670799072281916 absolute error = 2.775557561562891e-17 relative error = 1.661215646817506e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.1670966118779844 y[1] (numeric) = 0.1670966118779845 absolute error = 2.775557561562891e-17 relative error = 1.661049575074347e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.1671133165277773 y[1] (numeric) = 0.1671133165277773 absolute error = 5.551115123125783e-17 relative error = 3.321767073064513e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.1671300211775701 y[1] (numeric) = 0.1671300211775702 absolute error = 5.551115123125783e-17 relative error = 3.321435062362557e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.167146725827363 y[1] (numeric) = 0.1671467258273631 absolute error = 8.326672684688674e-17 relative error = 4.981654677034388e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.1671634304771558 y[1] (numeric) = 0.1671634304771559 absolute error = 8.326672684688674e-17 relative error = 4.981156860038582e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.1671801351269487 y[1] (numeric) = 0.1671801351269488 absolute error = 8.326672684688674e-17 relative error = 4.980659142526588e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.1671968397767415 y[1] (numeric) = 0.1671968397767417 absolute error = 1.110223024625157e-16 relative error = 6.640215365958117e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.1672135444265344 y[1] (numeric) = 0.1672135444265345 absolute error = 1.110223024625157e-16 relative error = 6.639552007779699e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.1672302490763273 y[1] (numeric) = 0.1672302490763274 absolute error = 1.110223024625157e-16 relative error = 6.638888782127139e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.1672469537261201 y[1] (numeric) = 0.1672469537261203 absolute error = 1.387778780781446e-16 relative error = 8.29778211120091e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.167263658375913 y[1] (numeric) = 0.1672636583759131 absolute error = 1.387778780781446e-16 relative error = 8.296953410300959e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.1672803630257058 y[1] (numeric) = 0.167280363025706 absolute error = 1.665334536937735e-16 relative error = 9.955349849891373e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.1672970676754987 y[1] (numeric) = 0.1672970676754988 absolute error = 1.665334536937735e-16 relative error = 9.954355805972263e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.1673137723252915 y[1] (numeric) = 0.1673137723252917 absolute error = 1.665334536937735e-16 relative error = 9.953361960544349e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.1673304769750844 y[1] (numeric) = 0.1673304769750846 absolute error = 1.942890293094024e-16 relative error = 1.161109636580622e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.1673471816248772 y[1] (numeric) = 0.1673471816248774 absolute error = 1.942890293094024e-16 relative error = 1.160993734241175e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.1673638862746701 y[1] (numeric) = 0.1673638862746703 absolute error = 1.942890293094024e-16 relative error = 1.160877855038237e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.1673805909244629 y[1] (numeric) = 0.1673805909244632 absolute error = 2.220446049250313e-16 relative error = 1.326585141674148e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.1673972955742558 y[1] (numeric) = 0.167397295574256 absolute error = 2.220446049250313e-16 relative error = 1.326452761159062e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.1674140002240486 y[1] (numeric) = 0.1674140002240489 absolute error = 2.498001805406602e-16 relative error = 1.492110457944705e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.1674307048738415 y[1] (numeric) = 0.1674307048738418 absolute error = 2.498001805406602e-16 relative error = 1.491961589296801e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.1674474095236344 y[1] (numeric) = 0.1674474095236346 absolute error = 2.498001805406602e-16 relative error = 1.49181275035134e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.1674641141734272 y[1] (numeric) = 0.1674641141734275 absolute error = 2.775557561562891e-16 relative error = 1.657404378999372e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.1674808188232201 y[1] (numeric) = 0.1674808188232204 absolute error = 2.775557561562891e-16 relative error = 1.657239068369111e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.1674975234730129 y[1] (numeric) = 0.1674975234730132 absolute error = 3.05311331771918e-16 relative error = 1.822781169783144e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.1675142281228058 y[1] (numeric) = 0.1675142281228061 absolute error = 3.05311331771918e-16 relative error = 1.822599400619823e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.1675309327725986 y[1] (numeric) = 0.167530932772599 absolute error = 3.05311331771918e-16 relative error = 1.822417667705213e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.1675476374223915 y[1] (numeric) = 0.1675476374223918 absolute error = 3.33066907387547e-16 relative error = 1.987893786576516e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.1675643420721843 y[1] (numeric) = 0.1675643420721847 absolute error = 3.33066907387547e-16 relative error = 1.98769561154047e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.1675810467219772 y[1] (numeric) = 0.1675810467219775 absolute error = 3.33066907387547e-16 relative error = 1.987497476013004e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.16759775137177 y[1] (numeric) = 0.1675977513717704 absolute error = 3.608224830031759e-16 relative error = 2.152907661647496e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.1676144560215629 y[1] (numeric) = 0.1676144560215633 absolute error = 3.608224830031759e-16 relative error = 2.152693100389608e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.1676311606713558 y[1] (numeric) = 0.1676311606713561 absolute error = 3.885780586188048e-16 relative error = 2.318053857424634e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.1676478653211486 y[1] (numeric) = 0.167647865321149 absolute error = 3.885780586188048e-16 relative error = 2.317822883544859e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.1676645699709415 y[1] (numeric) = 0.1676645699709419 absolute error = 3.885780586188048e-16 relative error = 2.317591955689568e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.1676812746207343 y[1] (numeric) = 0.1676812746207347 absolute error = 4.163336342344337e-16 relative error = 2.482886864833939e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.1676979792705272 y[1] (numeric) = 0.1676979792705276 absolute error = 4.163336342344337e-16 relative error = 2.482639540711533e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.16771468392032 y[1] (numeric) = 0.1677146839203205 absolute error = 4.163336342344337e-16 relative error = 2.48239226585688e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.1677313885701129 y[1] (numeric) = 0.1677313885701133 absolute error = 4.440892098500626e-16 relative error = 2.647621376272279e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.1677480932199057 y[1] (numeric) = 0.1677480932199062 absolute error = 4.440892098500626e-16 relative error = 2.647357721484759e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.1677647978696986 y[1] (numeric) = 0.1677647978696991 absolute error = 4.718447854656915e-16 relative error = 2.812537501652576e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.1677815025194914 y[1] (numeric) = 0.1677815025194919 absolute error = 4.718447854656915e-16 relative error = 2.812257479997693e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.1677982071692843 y[1] (numeric) = 0.1677982071692848 absolute error = 4.718447854656915e-16 relative error = 2.811977514096249e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.1678149118190772 y[1] (numeric) = 0.1678149118190777 absolute error = 4.996003610813204e-16 relative error = 2.977091580633456e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.16783161646887 y[1] (numeric) = 0.1678316164688705 absolute error = 4.996003610813204e-16 relative error = 2.976795264162805e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.1678483211186629 y[1] (numeric) = 0.1678483211186634 absolute error = 5.273559366969494e-16 relative error = 3.141860062598584e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.1678650257684557 y[1] (numeric) = 0.1678650257684562 absolute error = 5.273559366969494e-16 relative error = 3.141547408596933e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.1678817304182486 y[1] (numeric) = 0.1678817304182491 absolute error = 5.273559366969494e-16 relative error = 3.141234816814983e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.1678984350680414 y[1] (numeric) = 0.167898435068042 absolute error = 5.551115123125783e-16 relative error = 3.306233986562277e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.1679151397178343 y[1] (numeric) = 0.1679151397178348 absolute error = 5.551115123125783e-16 relative error = 3.305905073511485e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.1679318443676271 y[1] (numeric) = 0.1679318443676277 absolute error = 5.551115123125783e-16 relative error = 3.305576225896494e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.16794854901742 y[1] (numeric) = 0.1679485490174206 absolute error = 5.828670879282072e-16 relative error = 3.470509815882666e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.1679652536672128 y[1] (numeric) = 0.1679652536672134 absolute error = 5.828670879282072e-16 relative error = 3.470164663240609e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.1679819583170057 y[1] (numeric) = 0.1679819583170063 absolute error = 6.106226635438361e-16 relative error = 3.635049083018218e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.1679986629667986 y[1] (numeric) = 0.1679986629667992 absolute error = 6.106226635438361e-16 relative error = 3.634687638344556e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.1680153676165914 y[1] (numeric) = 0.168015367616592 absolute error = 6.106226635438361e-16 relative error = 3.634326265542971e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.1680320722663843 y[1] (numeric) = 0.1680320722663849 absolute error = 6.38378239159465e-16 relative error = 3.799145190255302e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.1680487769161771 y[1] (numeric) = 0.1680487769161778 absolute error = 6.38378239159465e-16 relative error = 3.79876754162804e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.16806548156597 y[1] (numeric) = 0.1680654815659706 absolute error = 6.38378239159465e-16 relative error = 3.798389968072565e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.1680821862157628 y[1] (numeric) = 0.1680821862157635 absolute error = 6.661338147750939e-16 relative error = 3.96314344650417e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.1680988908655557 y[1] (numeric) = 0.1680988908655563 absolute error = 6.661338147750939e-16 relative error = 3.962749613308651e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.1681155955153485 y[1] (numeric) = 0.1681155955153492 absolute error = 6.938893903907228e-16 relative error = 4.127454019144658e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.1681323001651414 y[1] (numeric) = 0.1681323001651421 absolute error = 6.938893903907228e-16 relative error = 4.127043939261981e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.1681490048149342 y[1] (numeric) = 0.1681490048149349 absolute error = 6.938893903907228e-16 relative error = 4.126633940857523e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.1681657094647271 y[1] (numeric) = 0.1681657094647278 absolute error = 7.216449660063518e-16 relative error = 4.291272984863287e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.16818241411452 y[1] (numeric) = 0.1681824141145207 absolute error = 7.216449660063518e-16 relative error = 4.290846755921604e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.1681991187643128 y[1] (numeric) = 0.1681991187643135 absolute error = 7.494005416219807e-16 relative error = 4.455436789012374e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.1682158234141057 y[1] (numeric) = 0.1682158234141064 absolute error = 7.494005416219807e-16 relative error = 4.454994342459344e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.1682325280638985 y[1] (numeric) = 0.1682325280638993 absolute error = 7.494005416219807e-16 relative error = 4.454551983771779e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.1682492327136914 y[1] (numeric) = 0.1682492327136921 absolute error = 7.771561172376096e-16 relative error = 4.619076739328084e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.1682659373634842 y[1] (numeric) = 0.168265937363485 absolute error = 7.771561172376096e-16 relative error = 4.618618179143499e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.1682826420132771 y[1] (numeric) = 0.1682826420132779 absolute error = 7.771561172376096e-16 relative error = 4.618159709997267e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.1682993466630699 y[1] (numeric) = 0.1682993466630707 absolute error = 8.049116928532385e-16 relative error = 4.782619236571647e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.1683160513128628 y[1] (numeric) = 0.1683160513128636 absolute error = 8.049116928532385e-16 relative error = 4.782144582022563e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.1683327559626556 y[1] (numeric) = 0.1683327559626565 absolute error = 8.326672684688674e-16 relative error = 4.946555194840352e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.1683494606124485 y[1] (numeric) = 0.1683494606124493 absolute error = 8.326672684688674e-16 relative error = 4.946064367772001e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.1683661652622414 y[1] (numeric) = 0.1683661652622422 absolute error = 8.326672684688674e-16 relative error = 4.945573638099635e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.1683828699120342 y[1] (numeric) = 0.168382869912035 absolute error = 8.604228440844963e-16 relative error = 5.109919105987411e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.1683995745618271 y[1] (numeric) = 0.1683995745618279 absolute error = 8.604228440844963e-16 relative error = 5.109412219854489e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.1684162792116199 y[1] (numeric) = 0.1684162792116208 absolute error = 8.604228440844963e-16 relative error = 5.108905434274262e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.1684329838614128 y[1] (numeric) = 0.1684329838614136 absolute error = 8.881784197001252e-16 relative error = 5.273185805643161e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.1684496885112056 y[1] (numeric) = 0.1684496885112065 absolute error = 8.881784197001252e-16 relative error = 5.272662879641013e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.1684663931609985 y[1] (numeric) = 0.1684663931609994 absolute error = 9.159339953157541e-16 relative error = 5.436894434134543e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.1684830978107913 y[1] (numeric) = 0.1684830978107922 absolute error = 9.159339953157541e-16 relative error = 5.436355380551939e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.1684998024605842 y[1] (numeric) = 0.1684998024605851 absolute error = 9.159339953157541e-16 relative error = 5.43581643385019e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.168516507110377 y[1] (numeric) = 0.168516507110378 absolute error = 9.436895709313831e-16 relative error = 5.599982975633797e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.1685332117601699 y[1] (numeric) = 0.1685332117601708 absolute error = 9.436895709313831e-16 relative error = 5.599427917354916e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.1685499164099627 y[1] (numeric) = 0.1685499164099637 absolute error = 9.71445146547012e-16 relative error = 5.763545703482719e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.1685666210597556 y[1] (numeric) = 0.1685666210597566 absolute error = 9.71445146547012e-16 relative error = 5.762974546441446e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.1685833257095485 y[1] (numeric) = 0.1685833257095494 absolute error = 9.71445146547012e-16 relative error = 5.762403502590232e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.1686000303593413 y[1] (numeric) = 0.1686000303593423 absolute error = 9.992007221626409e-16 relative error = 5.926456359663877e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.1686167350091342 y[1] (numeric) = 0.1686167350091352 absolute error = 9.992007221626409e-16 relative error = 5.925869233018378e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.168633439658927 y[1] (numeric) = 0.168633439658928 absolute error = 9.992007221626409e-16 relative error = 5.925282222693165e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.1686501443087199 y[1] (numeric) = 0.1686501443087209 absolute error = 1.02695629777827e-15 relative error = 6.089270198894056e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.1686668489585127 y[1] (numeric) = 0.1686668489585137 absolute error = 1.02695629777827e-15 relative error = 6.088667121722728e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.1686835536083056 y[1] (numeric) = 0.1686835536083066 absolute error = 1.054711873393899e-15 relative error = 6.252606438698878e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.1687002582580984 y[1] (numeric) = 0.1687002582580995 absolute error = 1.054711873393899e-15 relative error = 6.251987307454329e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.1687169629078913 y[1] (numeric) = 0.1687169629078923 absolute error = 1.054711873393899e-15 relative error = 6.251368298810026e-13 % Correct digits = 14 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = arcsin(0.1) + arccos(0.1) + arctan(0.1); Iterations = 100 Total Elapsed Time = 10 Seconds Elapsed Time(since restart) = 9 Seconds Expected Time Remaining = 13 Hours 28 Minutes 24 Seconds Optimized Time Remaining = 12 Hours 7 Minutes 34 Seconds Time to Timeout = 50 Seconds Percent Done = 0.02061 %