##############ECHO OF PROBLEM################# ##############temp/h3sinpostode.ode################# diff ( y , x , 3 ) = sin(x); ! /* 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); array_y_init[1 + 1] = exact_soln_yp(x_start); array_y_init[2 + 1] = exact_soln_ypp(x_start); glob_h = 0.00001; glob_look_poles = true; glob_max_iter = 20; /* 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(1.0 - sin(x)); } double exact_soln_yp (double x) { return(-cos(x)); } double exact_soln_ypp (double x) { return(sin(x)); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion x[1] = 0.1 y[1] (analytic) = 0.9001665833531718 y[1] (numeric) = 0.9001665833531718 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) = 0.9001566333165109 y[1] (numeric) = 0.9001566333165107 absolute error = 1.110223024625157e-16 relative error = 1.233366487046464e-14 % Correct digits = 15 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10002 y[1] (analytic) = 0.9001466832898343 y[1] (numeric) = 0.900146683289833 absolute error = 1.221245327087672e-15 relative error = 1.356718132454029e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10003 y[1] (analytic) = 0.900136733273143 y[1] (numeric) = 0.9001367332731389 absolute error = 4.107825191113079e-15 relative error = 4.563556890047031e-13 % Correct digits = 14 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10004 y[1] (analytic) = 0.9001267832664381 y[1] (numeric) = 0.9001267832664285 absolute error = 9.658940314238862e-15 relative error = 1.073064427567401e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10005 y[1] (analytic) = 0.9001168332697205 y[1] (numeric) = 0.9001168332697017 absolute error = 1.876276911616515e-14 relative error = 2.084481527582195e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10006 y[1] (analytic) = 0.9001068832829912 y[1] (numeric) = 0.9001068832829588 absolute error = 3.230749001659206e-14 relative error = 3.589294851157656e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10007 y[1] (analytic) = 0.9000969333062512 y[1] (numeric) = 0.9000969333061999 absolute error = 5.129230373768223e-14 relative error = 5.698531107008051e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10008 y[1] (analytic) = 0.9000869833395014 y[1] (numeric) = 0.9000869833394249 absolute error = 7.649436639667329e-14 relative error = 8.498552674638623e-12 % Correct digits = 13 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10009 y[1] (analytic) = 0.900077033382743 y[1] (numeric) = 0.9000770333826342 absolute error = 1.088018564132653e-13 relative error = 1.208806050792756e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001 y[1] (analytic) = 0.900067083435977 y[1] (numeric) = 0.9000670834358278 absolute error = 1.49213974509621e-13 relative error = 1.657809481711091e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10011 y[1] (analytic) = 0.9000571334992042 y[1] (numeric) = 0.9000571334990056 absolute error = 1.986188991054405e-13 relative error = 2.206736569413747e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10012 y[1] (analytic) = 0.9000471835724256 y[1] (numeric) = 0.9000471835721678 absolute error = 2.577937863179613e-13 relative error = 2.864225243111569e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10013 y[1] (analytic) = 0.9000372336556425 y[1] (numeric) = 0.9000372336553146 absolute error = 3.278488591718087e-13 relative error = 3.642614404297466e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.10014 y[1] (analytic) = 0.9000272837488555 y[1] (numeric) = 0.9000272837484461 absolute error = 4.094502514817577e-13 relative error = 4.549309325116094e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001499999999999 y[1] (analytic) = 0.9000173338520658 y[1] (numeric) = 0.9000173338515622 absolute error = 5.03597163969971e-13 relative error = 5.595416277313014e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001599999999999 y[1] (analytic) = 0.9000073839652744 y[1] (numeric) = 0.9000073839646633 absolute error = 6.110667527536862e-13 relative error = 6.789574881724119e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001699999999999 y[1] (analytic) = 0.8999974340884822 y[1] (numeric) = 0.8999974340877492 absolute error = 7.329692408575283e-13 relative error = 8.144125895201912e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001799999999999 y[1] (analytic) = 0.8999874842216904 y[1] (numeric) = 0.8999874842208202 absolute error = 8.701928067011977e-13 relative error = 9.668943423738173e-11 % Correct digits = 12 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001899999999999 y[1] (analytic) = 0.8999775343648997 y[1] (numeric) = 0.8999775343638763 absolute error = 1.023403584099469e-12 relative error = 1.137143478611018e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1001999999999999 y[1] (analytic) = 0.8999675845181113 y[1] (numeric) = 0.8999675845169177 absolute error = 1.193600773774506e-12 relative error = 1.326270850536934e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002099999999999 y[1] (analytic) = 0.8999576346813262 y[1] (numeric) = 0.8999576346799444 absolute error = 1.38178357644847e-12 relative error = 1.535387359581385e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002199999999999 y[1] (analytic) = 0.8999476848545452 y[1] (numeric) = 0.8999476848529565 absolute error = 1.588729148238599e-12 relative error = 1.765357225731825e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002299999999999 y[1] (analytic) = 0.8999377350377695 y[1] (numeric) = 0.8999377350359542 absolute error = 1.815325667564593e-12 relative error = 2.017168073842804e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002399999999999 y[1] (analytic) = 0.899927785231 y[1] (numeric) = 0.8999277852289376 absolute error = 2.062461312846153e-12 relative error = 2.2918075724451e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002499999999999 y[1] (analytic) = 0.8999178354342379 y[1] (numeric) = 0.8999178354319066 absolute error = 2.331246307107904e-12 relative error = 2.590510172501478e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002599999999999 y[1] (analytic) = 0.8999078856474838 y[1] (numeric) = 0.8999078856448616 absolute error = 2.622235761862157e-12 relative error = 2.913893525863992e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002699999999999 y[1] (analytic) = 0.899897935870739 y[1] (numeric) = 0.8998979358678024 absolute error = 2.936539900133539e-12 relative error = 3.263192172223565e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002799999999999 y[1] (analytic) = 0.8998879861040044 y[1] (numeric) = 0.8998879861007293 absolute error = 3.275157922644212e-12 relative error = 3.639517332400175e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002899999999999 y[1] (analytic) = 0.899878036347281 y[1] (numeric) = 0.8998780363436424 absolute error = 3.638644940906488e-12 relative error = 4.04348677702615e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1002999999999999 y[1] (analytic) = 0.8998680866005698 y[1] (numeric) = 0.8998680865965417 absolute error = 4.028111177944993e-12 relative error = 4.476335185040267e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003099999999999 y[1] (analytic) = 0.8998581368638717 y[1] (numeric) = 0.8998581368594274 absolute error = 4.444333789876964e-12 relative error = 4.938927157302898e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003199999999999 y[1] (analytic) = 0.8998481871371879 y[1] (numeric) = 0.8998481871322994 absolute error = 4.888534022029489e-12 relative error = 5.432620848614544e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003299999999999 y[1] (analytic) = 0.8998382374205193 y[1] (numeric) = 0.899838237415158 absolute error = 5.361266985914881e-12 relative error = 5.958034192104923e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003399999999999 y[1] (analytic) = 0.8998282877138668 y[1] (numeric) = 0.8998282877080033 absolute error = 5.863531882255302e-12 relative error = 6.51627867484849e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003499999999999 y[1] (analytic) = 0.8998183380172315 y[1] (numeric) = 0.8998183380108352 absolute error = 6.396327911772914e-12 relative error = 7.108465833078437e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003599999999999 y[1] (analytic) = 0.8998083883306144 y[1] (numeric) = 0.8998083883236541 absolute error = 6.960321208282494e-12 relative error = 7.735337099041447e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003699999999999 y[1] (analytic) = 0.8997984386540164 y[1] (numeric) = 0.8997984386464598 absolute error = 7.556621994808665e-12 relative error = 8.398127480763811e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003799999999999 y[1] (analytic) = 0.8997884889874386 y[1] (numeric) = 0.8997884889792527 absolute error = 8.185896405166204e-12 relative error = 9.097578492449999e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003899999999999 y[1] (analytic) = 0.8997785393308819 y[1] (numeric) = 0.8997785393220327 absolute error = 8.849254662379735e-12 relative error = 9.83492523500334e-10 % Correct digits = 11 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1003999999999999 y[1] (analytic) = 0.8997685896843474 y[1] (numeric) = 0.8997685896747999 absolute error = 9.547473922566496e-12 relative error = 1.061103269443524e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004099999999998 y[1] (analytic) = 0.899758640047836 y[1] (numeric) = 0.8997586400375545 absolute error = 1.028155338644865e-11 relative error = 1.142701267742428e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004199999999998 y[1] (analytic) = 0.8997486904213488 y[1] (numeric) = 0.8997486904102965 absolute error = 1.105227021014343e-11 relative error = 1.228373025468667e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004299999999998 y[1] (analytic) = 0.8997387408048867 y[1] (numeric) = 0.8997387407930261 absolute error = 1.186062359437301e-11 relative error = 1.31822973230682e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004399999999998 y[1] (analytic) = 0.8997287911984506 y[1] (numeric) = 0.8997287911857432 absolute error = 1.270739069525462e-11 relative error = 1.4123579037999e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004499999999998 y[1] (analytic) = 0.8997188416020417 y[1] (numeric) = 0.8997188415884482 absolute error = 1.359357071351042e-11 relative error = 1.51086873865014e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004599999999998 y[1] (analytic) = 0.8997088920156611 y[1] (numeric) = 0.8997088920011409 absolute error = 1.452016284986257e-11 relative error = 1.613873440478326e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004699999999998 y[1] (analytic) = 0.8996989424393094 y[1] (numeric) = 0.8996989424238216 absolute error = 1.54877222158234e-11 relative error = 1.721433858067266e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004799999999998 y[1] (analytic) = 0.8996889928729879 y[1] (numeric) = 0.8996889928564904 absolute error = 1.649747005671998e-11 relative error = 1.83368588338937e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004899999999998 y[1] (analytic) = 0.8996790433166975 y[1] (numeric) = 0.8996790432991473 absolute error = 1.755018352866955e-11 relative error = 1.95071605357953e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1004999999999998 y[1] (analytic) = 0.8996690937704391 y[1] (numeric) = 0.8996690937517924 absolute error = 1.864675081009182e-11 relative error = 2.072623249949025e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005099999999998 y[1] (analytic) = 0.8996591442342139 y[1] (numeric) = 0.8996591442144258 absolute error = 1.978806007940648e-11 relative error = 2.19950635818302e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005199999999998 y[1] (analytic) = 0.8996491947080227 y[1] (numeric) = 0.8996491946870477 absolute error = 2.097499951503323e-11 relative error = 2.331464268340792e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005299999999998 y[1] (analytic) = 0.8996392451918666 y[1] (numeric) = 0.8996392451696582 absolute error = 2.220834627308932e-11 relative error = 2.46858353409793e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005399999999998 y[1] (analytic) = 0.8996292956857466 y[1] (numeric) = 0.8996292956622574 absolute error = 2.348921057659936e-11 relative error = 2.610987735642224e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005499999999998 y[1] (analytic) = 0.8996193461896637 y[1] (numeric) = 0.8996193461648452 absolute error = 2.481848060398306e-11 relative error = 2.758775776566133e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005599999999998 y[1] (analytic) = 0.8996093967036188 y[1] (numeric) = 0.8996093966774219 absolute error = 2.619693351135766e-11 relative error = 2.912034223669673e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005699999999998 y[1] (analytic) = 0.899599447227613 y[1] (numeric) = 0.8995994471999875 absolute error = 2.762545747714285e-11 relative error = 3.070861988886168e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005799999999998 y[1] (analytic) = 0.8995894977616472 y[1] (numeric) = 0.8995894977325423 absolute error = 2.910494067975833e-11 relative error = 3.235357988524439e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005899999999998 y[1] (analytic) = 0.8995795483057225 y[1] (numeric) = 0.8995795482750861 absolute error = 3.063638231992627e-11 relative error = 3.405633484846021e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1005999999999998 y[1] (analytic) = 0.8995695988598399 y[1] (numeric) = 0.8995695988276192 absolute error = 3.222067057606637e-11 relative error = 3.58178740332093e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006099999999998 y[1] (analytic) = 0.8995596494240002 y[1] (numeric) = 0.8995596493901417 absolute error = 3.385858260429586e-11 relative error = 3.763906331945408e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006199999999998 y[1] (analytic) = 0.8995496999982047 y[1] (numeric) = 0.8995496999626535 absolute error = 3.555111760533691e-11 relative error = 3.952101546519094e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006299999999998 y[1] (analytic) = 0.8995397505824541 y[1] (numeric) = 0.899539750545155 absolute error = 3.729905273530676e-11 relative error = 4.146459643518314e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006399999999998 y[1] (analytic) = 0.8995298011767496 y[1] (numeric) = 0.8995298011376461 absolute error = 3.910349821723003e-11 relative error = 4.347104250028792e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006499999999998 y[1] (analytic) = 0.8995198517810921 y[1] (numeric) = 0.8995198517401271 absolute error = 4.096500916261903e-11 relative error = 4.554097286625343e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006599999999997 y[1] (analytic) = 0.8995099023954826 y[1] (numeric) = 0.8995099023525978 absolute error = 4.288480681680085e-11 relative error = 4.767574731817229e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006699999999997 y[1] (analytic) = 0.8994999530199221 y[1] (numeric) = 0.8994999529750585 absolute error = 4.486366833589273e-11 relative error = 4.987623199453251e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006799999999997 y[1] (analytic) = 0.8994900036544116 y[1] (numeric) = 0.8994900036075092 absolute error = 4.69023708760119e-11 relative error = 5.21432930721396e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006899999999997 y[1] (analytic) = 0.8994800542989522 y[1] (numeric) = 0.89948005424995 absolute error = 4.900213568248546e-11 relative error = 5.447829048380328e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1006999999999997 y[1] (analytic) = 0.8994701049535446 y[1] (numeric) = 0.8994701049023812 absolute error = 5.116340684452325e-11 relative error = 5.688172020699422e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007099999999997 y[1] (analytic) = 0.8994601556181901 y[1] (numeric) = 0.8994601555648027 absolute error = 5.338740560745237e-11 relative error = 5.935494226618601e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007199999999997 y[1] (analytic) = 0.8994502062928896 y[1] (numeric) = 0.8994502062372147 absolute error = 5.567490912739004e-11 relative error = 6.189882301195505e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007299999999997 y[1] (analytic) = 0.8994402569776441 y[1] (numeric) = 0.8994402569196173 absolute error = 5.802680558275597e-11 relative error = 6.451435226808871e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007399999999997 y[1] (analytic) = 0.8994303076724546 y[1] (numeric) = 0.8994303076120104 absolute error = 6.044420519657479e-11 relative error = 6.720276677466237e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007499999999997 y[1] (analytic) = 0.8994203583773219 y[1] (numeric) = 0.8994203583143943 absolute error = 6.29276630803588e-11 relative error = 6.996468613840247e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007599999999997 y[1] (analytic) = 0.8994104090922473 y[1] (numeric) = 0.8994104090267691 absolute error = 6.547828945713263e-11 relative error = 7.280134718834114e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007699999999997 y[1] (analytic) = 0.8994004598172317 y[1] (numeric) = 0.8994004597491347 absolute error = 6.809697250531599e-11 relative error = 7.571373992754469e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007799999999997 y[1] (analytic) = 0.8993905105522759 y[1] (numeric) = 0.8993905104814915 absolute error = 7.078437835872364e-11 relative error = 7.870260751946124e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007899999999997 y[1] (analytic) = 0.8993805612973812 y[1] (numeric) = 0.8993805612238395 absolute error = 7.354172826268268e-11 relative error = 8.176931037579544e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1007999999999997 y[1] (analytic) = 0.8993706120525484 y[1] (numeric) = 0.8993706119761786 absolute error = 7.636979937331034e-11 relative error = 8.491471519068071e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008099999999997 y[1] (analytic) = 0.8993606628177785 y[1] (numeric) = 0.8993606627385092 absolute error = 7.92692578244214e-11 relative error = 8.813956525079007e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008199999999997 y[1] (analytic) = 0.8993507135930725 y[1] (numeric) = 0.8993507135108313 absolute error = 8.224121383904048e-11 relative error = 9.144509766437125e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008299999999997 y[1] (analytic) = 0.8993407643784316 y[1] (numeric) = 0.8993407642931449 absolute error = 8.528666661788975e-11 relative error = 9.483242614587207e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008399999999997 y[1] (analytic) = 0.8993308151738564 y[1] (numeric) = 0.8993308150854502 absolute error = 8.840617127248152e-11 relative error = 9.830217065940419e-09 % Correct digits = 10 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008499999999997 y[1] (analytic) = 0.8993208659793482 y[1] (numeric) = 0.8993208658877472 absolute error = 9.160106007044533e-11 relative error = 1.018558153553938e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008599999999997 y[1] (analytic) = 0.899310916794908 y[1] (numeric) = 0.899310916700036 absolute error = 9.487199914559596e-11 relative error = 1.054941037341282e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008699999999997 y[1] (analytic) = 0.8993009676205367 y[1] (numeric) = 0.8993009675223169 absolute error = 9.821976565405066e-11 relative error = 1.092179027827921e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008799999999997 y[1] (analytic) = 0.8992910184562352 y[1] (numeric) = 0.8992910183545898 absolute error = 1.016453587965316e-10 relative error = 1.13028326437665e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008899999999997 y[1] (analytic) = 0.8992810693020047 y[1] (numeric) = 0.8992810691968549 absolute error = 1.051497777737609e-10 relative error = 1.169264886843165e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1008999999999997 y[1] (analytic) = 0.8992711201578459 y[1] (numeric) = 0.8992711200491122 absolute error = 1.087336887195534e-10 relative error = 1.209131331833137e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009099999999997 y[1] (analytic) = 0.8992611710237602 y[1] (numeric) = 0.8992611709113619 absolute error = 1.123983128792361e-10 relative error = 1.2498962092545e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009199999999996 y[1] (analytic) = 0.8992512218997483 y[1] (numeric) = 0.8992512217836041 absolute error = 1.161442053643214e-10 relative error = 1.291565721967621e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009299999999996 y[1] (analytic) = 0.8992412727858113 y[1] (numeric) = 0.8992412726658388 absolute error = 1.199725874201363e-10 relative error = 1.334153480839089e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009399999999996 y[1] (analytic) = 0.8992313236819501 y[1] (numeric) = 0.8992313235580661 absolute error = 1.238840141581932e-10 relative error = 1.377665689524065e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009499999999996 y[1] (analytic) = 0.8992213745881659 y[1] (numeric) = 0.8992213744602863 absolute error = 1.278795958015166e-10 relative error = 1.422114725198611e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009599999999996 y[1] (analytic) = 0.8992114255044595 y[1] (numeric) = 0.8992114253724993 absolute error = 1.319602205285264e-10 relative error = 1.467510496260615e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009699999999996 y[1] (analytic) = 0.8992014764308319 y[1] (numeric) = 0.8992014762947054 absolute error = 1.361265544730372e-10 relative error = 1.513860442193216e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009799999999996 y[1] (analytic) = 0.8991915273672842 y[1] (numeric) = 0.8991915272269044 absolute error = 1.403798188803762e-10 relative error = 1.561178176260068e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009899999999996 y[1] (analytic) = 0.8991815783138174 y[1] (numeric) = 0.8991815781690967 absolute error = 1.447206798843581e-10 relative error = 1.609471138807629e-08 % Correct digits = 9 h = 1e-05 TOP MAIN SOLVE Loop NO POLE x[1] = 0.1009999999999996 y[1] (analytic) = 0.8991716292704324 y[1] (numeric) = 0.8991716291212822 absolute error = 1.491501366857051e-10 relative error = 1.658750474664355e-08 % Correct digits = 9 h = 1e-05 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 3 ) = sin(x); Iterations = 100 Total Elapsed Time = 18 Seconds Elapsed Time(since restart) = 17 Seconds Expected Time Remaining = 1 Days 0 Hours 15 Minutes 8 Seconds Optimized Time Remaining = 22 Hours 54 Minutes 18 Seconds Time to Timeout = 42 Seconds Percent Done = 0.02061 %