##############ECHO OF PROBLEM################# ##############temp/lin_tanhpostode.ode################# diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ; ! // BEGIN FIRST INPUT BLOCK Digits = 32; max_terms = 30; ! // END FIRST INPUT BLOCK // BEGIN SECOND INPUT BLOCK x_start = 1.1; x_end = 2.0 ; array_y_init[0 + 1] = exact_soln_y(x_start); glob_h = 0.00001 ; glob_look_poles = true; glob_max_iter = 10; // 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(ln(cosh(3.0*x + 1.0))/3.0); } // END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 1.1 y[1] (analytic) = 1.20234563609611 y[1] (numeric) = 1.20234563609611 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.10001 y[1] (analytic) = 1.202355632414783 y[1] (numeric) = 1.202355632414783 absolute error = 2.220446049250313e-16 relative error = 1.846746494455074e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.10002 y[1] (analytic) = 1.202365628733676 y[1] (numeric) = 1.202365628733676 absolute error = 2.220446049250313e-16 relative error = 1.846731140833486e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.10003 y[1] (analytic) = 1.20237562505279 y[1] (numeric) = 1.20237562505279 absolute error = 2.220446049250313e-16 relative error = 1.846715787466854e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.10004 y[1] (analytic) = 1.202385621372125 y[1] (numeric) = 1.202385621372125 absolute error = 2.220446049250313e-16 relative error = 1.846700434355169e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.10005 y[1] (analytic) = 1.20239561769168 y[1] (numeric) = 1.20239561769168 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.10006 y[1] (analytic) = 1.202405614011457 y[1] (numeric) = 1.202405614011457 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.100070000000001 y[1] (analytic) = 1.202415610331454 y[1] (numeric) = 1.202415610331454 absolute error = 0 relative error = 0 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.100080000000001 y[1] (analytic) = 1.202425606651672 y[1] (numeric) = 1.202425606651672 absolute error = 4.440892098500626e-16 relative error = 3.693278048915585e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.100090000000001 y[1] (analytic) = 1.202435602972111 y[1] (numeric) = 1.20243560297211 absolute error = 4.440892098500626e-16 relative error = 3.693247345241513e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.100100000000001 y[1] (analytic) = 1.20244559929277 y[1] (numeric) = 1.202445599292769 absolute error = 4.440892098500626e-16 relative error = 3.693216642077263e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.100110000000001 y[1] (analytic) = 1.20245559561365 y[1] (numeric) = 1.202455595613649 absolute error = 6.661338147750939e-16 relative error = 5.539778909134232e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.100120000000001 y[1] (analytic) = 1.202465591934751 y[1] (numeric) = 1.20246559193475 absolute error = 8.881784197001252e-16 relative error = 7.386310474556351e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.53 Order of pole = 2.181 x[1] = 1.100130000000001 y[1] (analytic) = 1.202475588256072 y[1] (numeric) = 1.202475588256071 absolute error = 8.881784197001252e-16 relative error = 7.386249071286626e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100140000000001 y[1] (analytic) = 1.202485584577614 y[1] (numeric) = 1.202485584577613 absolute error = 8.881784197001252e-16 relative error = 7.386187669036442e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100150000000001 y[1] (analytic) = 1.202495580899378 y[1] (numeric) = 1.202495580899376 absolute error = 1.332267629550188e-15 relative error = 1.107918940170866e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100160000000001 y[1] (analytic) = 1.202505577221361 y[1] (numeric) = 1.20250557722136 absolute error = 1.332267629550188e-15 relative error = 1.107909730139189e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100170000000001 y[1] (analytic) = 1.202515573543565 y[1] (numeric) = 1.202515573543564 absolute error = 1.110223024625157e-15 relative error = 9.232504335503604e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100180000000001 y[1] (analytic) = 1.20252556986599 y[1] (numeric) = 1.202525569865988 absolute error = 1.110223024625157e-15 relative error = 9.232427587788263e-14 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100190000000001 y[1] (analytic) = 1.202535566188635 y[1] (numeric) = 1.202535566188634 absolute error = 1.332267629550188e-15 relative error = 1.107882100961663e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100200000000001 y[1] (analytic) = 1.202545562511501 y[1] (numeric) = 1.2025455625115 absolute error = 1.554312234475219e-15 relative error = 1.29251837346525e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100210000000001 y[1] (analytic) = 1.202555558834588 y[1] (numeric) = 1.202555558834586 absolute error = 1.554312234475219e-15 relative error = 1.292507629320282e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100220000000002 y[1] (analytic) = 1.202565555157894 y[1] (numeric) = 1.202565555157893 absolute error = 1.332267629550188e-15 relative error = 1.107854473160313e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100230000000002 y[1] (analytic) = 1.202575551481422 y[1] (numeric) = 1.202575551481421 absolute error = 1.554312234475219e-15 relative error = 1.292486141565494e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100240000000002 y[1] (analytic) = 1.202585547805171 y[1] (numeric) = 1.202585547805169 absolute error = 1.77635683940025e-15 relative error = 1.47711474052076e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100250000000002 y[1] (analytic) = 1.202595544129139 y[1] (numeric) = 1.202595544129137 absolute error = 1.77635683940025e-15 relative error = 1.47710246231338e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100260000000002 y[1] (analytic) = 1.202605540453328 y[1] (numeric) = 1.202605540453326 absolute error = 1.77635683940025e-15 relative error = 1.477090184309847e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100270000000002 y[1] (analytic) = 1.202615536777738 y[1] (numeric) = 1.202615536777736 absolute error = 2.220446049250313e-15 relative error = 1.846347383137696e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100280000000002 y[1] (analytic) = 1.202625533102369 y[1] (numeric) = 1.202625533102366 absolute error = 2.442490654175344e-15 relative error = 2.030965239757168e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100290000000002 y[1] (analytic) = 1.202635529427219 y[1] (numeric) = 1.202635529427217 absolute error = 2.442490654175344e-15 relative error = 2.030948358343141e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100300000000002 y[1] (analytic) = 1.20264552575229 y[1] (numeric) = 1.202645525752288 absolute error = 2.220446049250313e-15 relative error = 1.846301342917614e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100310000000002 y[1] (analytic) = 1.202655522077582 y[1] (numeric) = 1.202655522077579 absolute error = 2.664535259100376e-15 relative error = 2.21554319602458e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100320000000002 y[1] (analytic) = 1.202665518403094 y[1] (numeric) = 1.202665518403091 absolute error = 2.664535259100376e-15 relative error = 2.21552478085375e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100330000000002 y[1] (analytic) = 1.202675514728826 y[1] (numeric) = 1.202675514728824 absolute error = 2.664535259100376e-15 relative error = 2.215506365988638e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100340000000002 y[1] (analytic) = 1.202685511054779 y[1] (numeric) = 1.202685511054776 absolute error = 2.664535259100376e-15 relative error = 2.215487951429236e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100350000000002 y[1] (analytic) = 1.202695507380952 y[1] (numeric) = 1.20269550738095 absolute error = 2.886579864025407e-15 relative error = 2.400091998606831e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100360000000002 y[1] (analytic) = 1.202705503707346 y[1] (numeric) = 1.202705503707343 absolute error = 3.108624468950438e-15 relative error = 2.584692977098788e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100370000000003 y[1] (analytic) = 1.20271550003396 y[1] (numeric) = 1.202715500033957 absolute error = 2.886579864025407e-15 relative error = 2.400052102050652e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100380000000003 y[1] (analytic) = 1.202725496360794 y[1] (numeric) = 1.202725496360791 absolute error = 2.886579864025407e-15 relative error = 2.400032154269298e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100390000000003 y[1] (analytic) = 1.202735492687849 y[1] (numeric) = 1.202735492687846 absolute error = 3.108624468950438e-15 relative error = 2.584628530420556e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100400000000003 y[1] (analytic) = 1.202745489015124 y[1] (numeric) = 1.202745489015121 absolute error = 3.33066907387547e-15 relative error = 2.769221838115401e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100410000000003 y[1] (analytic) = 1.202755485342619 y[1] (numeric) = 1.202755485342616 absolute error = 3.108624468950438e-15 relative error = 2.584585567751461e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100420000000003 y[1] (analytic) = 1.202765481670335 y[1] (numeric) = 1.202765481670332 absolute error = 3.108624468950438e-15 relative error = 2.584564086951806e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100430000000003 y[1] (analytic) = 1.202775477998271 y[1] (numeric) = 1.202775477998268 absolute error = 3.33066907387547e-15 relative error = 2.769152792687928e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100440000000003 y[1] (analytic) = 1.202785474326428 y[1] (numeric) = 1.202785474326424 absolute error = 3.774758283725532e-15 relative error = 3.13834708208414e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100450000000003 y[1] (analytic) = 1.202795470654804 y[1] (numeric) = 1.2027954706548 absolute error = 3.552713678800501e-15 relative error = 2.953713881934056e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100460000000003 y[1] (analytic) = 1.202805466983401 y[1] (numeric) = 1.202805466983397 absolute error = 3.552713678800501e-15 relative error = 2.953689334078767e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100470000000003 y[1] (analytic) = 1.202815463312217 y[1] (numeric) = 1.202815463312214 absolute error = 3.552713678800501e-15 relative error = 2.953664786630961e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100480000000003 y[1] (analytic) = 1.202825459641255 y[1] (numeric) = 1.202825459641251 absolute error = 3.774758283725532e-15 relative error = 3.13824275456504e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100490000000003 y[1] (analytic) = 1.202835455970512 y[1] (numeric) = 1.202835455970508 absolute error = 3.774758283725532e-15 relative error = 3.138216673767614e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100500000000003 y[1] (analytic) = 1.20284545229999 y[1] (numeric) = 1.202845452299986 absolute error = 3.774758283725532e-15 relative error = 3.138190593403107e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.181 x[1] = 1.100510000000003 y[1] (analytic) = 1.202855448629688 y[1] (numeric) = 1.202855448629684 absolute error = 3.996802888650564e-15 relative error = 3.322762426028652e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100520000000003 y[1] (analytic) = 1.202865444959606 y[1] (numeric) = 1.202865444959601 absolute error = 4.218847493575595e-15 relative error = 3.507331190910777e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100530000000004 y[1] (analytic) = 1.202875441289744 y[1] (numeric) = 1.20287544128974 absolute error = 4.218847493575595e-15 relative error = 3.507302043719567e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100540000000004 y[1] (analytic) = 1.202885437620102 y[1] (numeric) = 1.202885437620098 absolute error = 4.218847493575595e-15 relative error = 3.50727289701216e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100550000000004 y[1] (analytic) = 1.20289543395068 y[1] (numeric) = 1.202895433950676 absolute error = 4.218847493575595e-15 relative error = 3.507243750788542e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100560000000004 y[1] (analytic) = 1.202905430281479 y[1] (numeric) = 1.202905430281475 absolute error = 4.440892098500626e-15 relative error = 3.691804847419685e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100570000000004 y[1] (analytic) = 1.202915426612498 y[1] (numeric) = 1.202915426612493 absolute error = 4.440892098500626e-15 relative error = 3.691774168202764e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100580000000004 y[1] (analytic) = 1.202925422943736 y[1] (numeric) = 1.202925422943732 absolute error = 4.440892098500626e-15 relative error = 3.691743489495058e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100590000000004 y[1] (analytic) = 1.202935419275195 y[1] (numeric) = 1.20293541927519 absolute error = 4.662936703425657e-15 relative error = 3.876298451861379e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100600000000004 y[1] (analytic) = 1.202945415606874 y[1] (numeric) = 1.202945415606869 absolute error = 4.884981308350689e-15 relative error = 4.060850346967957e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100610000000004 y[1] (analytic) = 1.202955411938773 y[1] (numeric) = 1.202955411938768 absolute error = 4.662936703425657e-15 relative error = 3.876234029248449e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100620000000004 y[1] (analytic) = 1.202965408270892 y[1] (numeric) = 1.202965408270887 absolute error = 4.440892098500626e-15 relative error = 3.691620779756119e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100630000000004 y[1] (analytic) = 1.202975404603231 y[1] (numeric) = 1.202975404603226 absolute error = 4.662936703425657e-15 relative error = 3.876169608774006e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100640000000004 y[1] (analytic) = 1.20298540093579 y[1] (numeric) = 1.202985400935785 absolute error = 4.884981308350689e-15 relative error = 4.060715370735765e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100650000000004 y[1] (analytic) = 1.202995397268569 y[1] (numeric) = 1.202995397268564 absolute error = 4.884981308350689e-15 relative error = 4.060681628077848e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100660000000004 y[1] (analytic) = 1.203005393601568 y[1] (numeric) = 1.203005393601563 absolute error = 4.884981308350689e-15 relative error = 4.060647885979955e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100670000000004 y[1] (analytic) = 1.203015389934787 y[1] (numeric) = 1.203015389934782 absolute error = 4.884981308350689e-15 relative error = 4.060614144442071e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100680000000005 y[1] (analytic) = 1.203025386268226 y[1] (numeric) = 1.203025386268221 absolute error = 5.329070518200751e-15 relative error = 4.429724076506383e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100690000000005 y[1] (analytic) = 1.203035382601884 y[1] (numeric) = 1.203035382601879 absolute error = 5.10702591327572e-15 relative error = 4.245116965912022e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100700000000005 y[1] (analytic) = 1.203045378935763 y[1] (numeric) = 1.203045378935758 absolute error = 5.10702591327572e-15 relative error = 4.245081692424182e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100710000000005 y[1] (analytic) = 1.203055375269862 y[1] (numeric) = 1.203055375269857 absolute error = 5.329070518200751e-15 relative error = 4.429613655153128e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100720000000005 y[1] (analytic) = 1.203065371604181 y[1] (numeric) = 1.203065371604175 absolute error = 5.329070518200751e-15 relative error = 4.429576849257086e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100730000000005 y[1] (analytic) = 1.203075367938719 y[1] (numeric) = 1.203075367938714 absolute error = 5.329070518200751e-15 relative error = 4.429540043971874e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100740000000005 y[1] (analytic) = 1.203085364273477 y[1] (numeric) = 1.203085364273472 absolute error = 5.329070518200751e-15 relative error = 4.429503239297476e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100750000000005 y[1] (analytic) = 1.203095360608456 y[1] (numeric) = 1.20309536060845 absolute error = 5.551115123125783e-15 relative error = 4.614027536701954e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100760000000005 y[1] (analytic) = 1.203105356943654 y[1] (numeric) = 1.203105356943648 absolute error = 5.773159728050814e-15 relative error = 4.798548767762816e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100770000000005 y[1] (analytic) = 1.203115353279072 y[1] (numeric) = 1.203115353279066 absolute error = 5.551115123125783e-15 relative error = 4.613950863478142e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100780000000005 y[1] (analytic) = 1.203125349614709 y[1] (numeric) = 1.203125349614704 absolute error = 5.551115123125783e-15 relative error = 4.613912527820546e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100790000000005 y[1] (analytic) = 1.203135345950567 y[1] (numeric) = 1.203135345950561 absolute error = 5.773159728050814e-15 relative error = 4.798429160511102e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100800000000005 y[1] (analytic) = 1.203145342286645 y[1] (numeric) = 1.203145342286639 absolute error = 5.995204332975845e-15 relative error = 4.982942727087009e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100810000000005 y[1] (analytic) = 1.203155338622942 y[1] (numeric) = 1.203155338622936 absolute error = 5.773159728050814e-15 relative error = 4.798349425651405e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100820000000005 y[1] (analytic) = 1.203165334959458 y[1] (numeric) = 1.203165334959453 absolute error = 5.551115123125783e-15 relative error = 4.613759191551867e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100830000000006 y[1] (analytic) = 1.203175331296195 y[1] (numeric) = 1.203175331296189 absolute error = 5.995204332975845e-15 relative error = 4.982818527801047e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100840000000006 y[1] (analytic) = 1.203185327633152 y[1] (numeric) = 1.203185327633146 absolute error = 6.217248937900877e-15 relative error = 5.167324430502446e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100850000000006 y[1] (analytic) = 1.203195323970328 y[1] (numeric) = 1.203195323970322 absolute error = 5.995204332975845e-15 relative error = 4.98273573171208e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100860000000006 y[1] (analytic) = 1.203205320307724 y[1] (numeric) = 1.203205320307718 absolute error = 5.995204332975845e-15 relative error = 4.982694334698047e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100870000000006 y[1] (analytic) = 1.20321531664534 y[1] (numeric) = 1.203215316645334 absolute error = 5.995204332975845e-15 relative error = 4.982652938370959e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100880000000006 y[1] (analytic) = 1.203225312983175 y[1] (numeric) = 1.203225312983169 absolute error = 6.439293542825908e-15 relative error = 5.351693879229375e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100890000000006 y[1] (analytic) = 1.20323530932123 y[1] (numeric) = 1.203235309321224 absolute error = 6.217248937900877e-15 relative error = 5.167109782880421e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100900000000006 y[1] (analytic) = 1.203245305659504 y[1] (numeric) = 1.203245305659498 absolute error = 5.995204332975845e-15 relative error = 4.982528753511193e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100910000000006 y[1] (analytic) = 1.203255301997999 y[1] (numeric) = 1.203255301997993 absolute error = 6.439293542825908e-15 relative error = 5.351560497704431e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100920000000006 y[1] (analytic) = 1.203265298336713 y[1] (numeric) = 1.203265298336707 absolute error = 6.661338147750939e-15 relative error = 5.536051074487878e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100930000000006 y[1] (analytic) = 1.203275294675647 y[1] (numeric) = 1.20327529467564 absolute error = 6.661338147750939e-15 relative error = 5.536005083148125e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100940000000006 y[1] (analytic) = 1.2032852910148 y[1] (numeric) = 1.203285291014793 absolute error = 6.439293542825908e-15 relative error = 5.351427122819128e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100950000000006 y[1] (analytic) = 1.203295287354173 y[1] (numeric) = 1.203295287354166 absolute error = 6.883382752675971e-15 relative error = 5.720443539516617e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100960000000006 y[1] (analytic) = 1.203305283693765 y[1] (numeric) = 1.203305283693758 absolute error = 7.105427357601002e-15 relative error = 5.904924921288132e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100970000000006 y[1] (analytic) = 1.203315280033577 y[1] (numeric) = 1.20331528003357 absolute error = 7.105427357601002e-15 relative error = 5.904875867115002e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100980000000007 y[1] (analytic) = 1.203325276373609 y[1] (numeric) = 1.203325276373602 absolute error = 6.883382752675971e-15 relative error = 5.720300975825938e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.100990000000007 y[1] (analytic) = 1.20333527271386 y[1] (numeric) = 1.203335272713853 absolute error = 7.105427357601002e-15 relative error = 5.904777761210524e-13 % h = 1e-05 TOP MAIN SOLVE Loop Complex estimate of poles used Radius of convergence = 1.531 Order of pole = 2.182 x[1] = 1.101000000000007 y[1] (analytic) = 1.203345269054331 y[1] (numeric) = 1.203345269054323 absolute error = 7.327471962526033e-15 relative error = 6.089251481650359e-13 % h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = tanh (3.0 * x + 1.0 ) ; Iterations = 100 Total Elapsed Time = 0 Seconds Elapsed Time(since restart) = 0 Seconds Expected Time Remaining = 0 Seconds Optimized Time Remaining = 0 Seconds Time to Timeout = 1 Minutes 0 Seconds Percent Done = 0.1122 %