##############ECHO OF PROBLEM################# ##############temp/sing5_backpostode.ode################# diff ( y , x , 1 ) = neg ( 3.0 ) / x / x / x / x ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(-0.7) x_end=c(-1.0) $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(4.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=8 $glob_max_minutes=(3.0) $glob_subiter_method=3 $glob_max_iter=100000 $glob_upper_ratio_limit=c(1.000001) $glob_lower_ratio_limit=c(0.999999) $glob_look_poles=false $glob_h=c(0.001) $glob_display_interval=c(0.01) #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) x = c(x) return(c(1.0)/c(x)/c(x)/c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] -0.701 y[1] (closed_form) -2.9029927158019686 y[1] (numeric) -2.9029927158019686 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 14 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.702 y[1] (closed_form) -2.8906044279296124 y[1] (numeric) -2.890604427929612 absolute error 4.440892098500626e-16 relative error 1.5363195515760705e-14% Desired digits 8 Estimated correct digits 14 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.703 y[1] (closed_form) -2.878286527937843 y[1] (numeric) -2.8782865279378416 absolute error 1.3322676295501878e-15 relative error 4.628683130114551e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.704 y[1] (closed_form) -2.8660385166228406 y[1] (numeric) -2.8660385166228393 absolute error 1.3322676295501878e-15 relative error 4.648463800549506e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.705 y[1] (closed_form) -2.8538598990233024 y[1] (numeric) -2.853859899023301 absolute error 1.3322676295501878e-15 relative error 4.6683007459691335e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.706 y[1] (closed_form) -2.841750184378436 y[1] (numeric) -2.841750184378434 absolute error 1.7763568394002505e-15 relative error 6.25092539507932e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.707 y[1] (closed_form) -2.829708886086427 y[1] (numeric) -2.8297088860864252 absolute error 1.7763568394002505e-15 relative error 6.277525042008847e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.708 y[1] (closed_form) -2.817735521663382 y[1] (numeric) -2.81773552166338 absolute error 2.220446049250313e-15 relative error 7.880250052494375e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.709 y[1] (closed_form) -2.805829612702725 y[1] (numeric) -2.8058296127027225 absolute error 2.6645352591003757e-15 relative error 9.496425752431036e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.71 y[1] (closed_form) -2.793990684835057 y[1] (numeric) -2.7939906848350544 absolute error 2.6645352591003757e-15 relative error 9.536664791198744e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.711 y[1] (closed_form) -2.7822182676884655 y[1] (numeric) -2.782218267688463 absolute error 2.6645352591003757e-15 relative error 9.577017339168492e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h -0.001 TOP MAIN SOLVE Loop x[1] -0.712 y[1] (closed_form) -2.7705118948492773 y[1] (numeric) -2.770511894849274 absolute error 3.1086244689504383e-15 relative error 1.122039748224779e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.713 y[1] (closed_form) -2.7588711038232527 y[1] (numeric) -2.7588711038232496 absolute error 3.1086244689504383e-15 relative error 1.126774086923632e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.714 y[1] (closed_form) -2.7472954359972146 y[1] (numeric) -2.747295435997211 absolute error 3.552713678800501e-15 relative error 1.293167684934815e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.715 y[1] (closed_form) -2.735784436601103 y[1] (numeric) -2.735784436601099 absolute error 3.9968028886505635e-15 relative error 1.4609348730765244e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.716 y[1] (closed_form) -2.7243376546704563 y[1] (numeric) -2.7243376546704527 absolute error 3.552713678800501e-15 relative error 1.3040651083429112e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.717 y[1] (closed_form) -2.712954643009312 y[1] (numeric) -2.712954643009308 absolute error 3.9968028886505635e-15 relative error 1.4732287909602347e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.718 y[1] (closed_form) -2.701634958153512 y[1] (numeric) -2.701634958153508 absolute error 3.9968028886505635e-15 relative error 1.4794015292807216e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.719 y[1] (closed_form) -2.6903781603344266 y[1] (numeric) -2.6903781603344226 absolute error 3.9968028886505635e-15 relative error 1.4855914858280526e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.72 y[1] (closed_form) -2.6791838134430725 y[1] (numeric) -2.679183813443069 absolute error 3.552713678800501e-15 relative error 1.3260432751849295e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.721 y[1] (closed_form) -2.6680514849946344 y[1] (numeric) -2.6680514849946304 absolute error 3.9968028886505635e-15 relative error 1.4980231495265173e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.722 y[1] (closed_form) -2.6569807460933723 y[1] (numeric) -2.656980746093368 absolute error 4.440892098500626e-15 relative error 1.6714054495992057e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.723 y[1] (closed_form) -2.645971171397924 y[1] (numeric) -2.6459711713979193 absolute error 4.884981308350689e-15 relative error 1.8461959681026483e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.724 y[1] (closed_form) -2.635022339086986 y[1] (numeric) -2.635022339086981 absolute error 4.884981308350689e-15 relative error 1.853867132695086e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.725 y[1] (closed_form) -2.6241338308253725 y[1] (numeric) -2.624133830825367 absolute error 5.329070518200751e-15 relative error 2.0307922010687204e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.726 y[1] (closed_form) -2.6133052317304513 y[1] (numeric) -2.613305231730446 absolute error 5.329070518200751e-15 relative error 2.039207075199556e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.727 y[1] (closed_form) -2.6025361303389447 y[1] (numeric) -2.602536130338939 absolute error 5.773159728050814e-15 relative error 2.218282259658366e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.728 y[1] (closed_form) -2.591826118574096 y[1] (numeric) -2.5918261185740903 absolute error 5.773159728050814e-15 relative error 2.2274487037066137e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.729 y[1] (closed_form) -2.5811747917131975 y[1] (numeric) -2.5811747917131913 absolute error 6.217248937900877e-15 relative error 2.408689623756288e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.73 y[1] (closed_form) -2.5705817483554703 y[1] (numeric) -2.5705817483554645 absolute error 5.773159728050814e-15 relative error 2.2458572779271436e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.731 y[1] (closed_form) -2.560046590390301 y[1] (numeric) -2.5600465903902943 absolute error 6.661338147750939e-15 relative error 2.602037858512318e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.732 y[1] (closed_form) -2.549568922965815 y[1] (numeric) -2.549568922965809 absolute error 6.217248937900877e-15 relative error 2.4385490746681173e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.733 y[1] (closed_form) -2.5391483544578075 y[1] (numeric) -2.5391483544578013 absolute error 6.217248937900877e-15 relative error 2.448556787548739e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.734 y[1] (closed_form) -2.5287844964389965 y[1] (numeric) -2.5287844964389894 absolute error 7.105427357601002e-15 relative error 2.8098192501602166e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.735 y[1] (closed_form) -2.5184769636486184 y[1] (numeric) -2.5184769636486117 absolute error 6.661338147750939e-15 relative error 2.644986729638532e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.736 y[1] (closed_form) -2.5082253739623575 y[1] (numeric) -2.5082253739623503 absolute error 7.105427357601002e-15 relative error 2.8328504413366313e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.737 y[1] (closed_form) -2.4980293483625906 y[1] (numeric) -2.4980293483625835 absolute error 7.105427357601002e-15 relative error 2.8444130819593734e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.738 y[1] (closed_form) -2.4878885109089635 y[1] (numeric) -2.4878885109089564 absolute error 7.105427357601002e-15 relative error 2.856007142781891e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.739 y[1] (closed_form) -2.4778024887092798 y[1] (numeric) -2.4778024887092727 absolute error 7.105427357601002e-15 relative error 2.867632666436748e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.74 y[1] (closed_form) -2.4677709118907076 y[1] (numeric) -2.4677709118907 absolute error 7.549516567451064e-15 relative error 3.0592453015287897e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.741 y[1] (closed_form) -2.457793413571293 y[1] (numeric) -2.4577934135712853 absolute error 7.549516567451064e-15 relative error 3.071664414822095e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.742 y[1] (closed_form) -2.447869629831784 y[1] (numeric) -2.4478696298317764 absolute error 7.549516567451064e-15 relative error 3.0841170932660587e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.743 y[1] (closed_form) -2.437999199687755 y[1] (numeric) -2.4379991996877473 absolute error 7.549516567451064e-15 relative error 3.0966033821577806e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.744 y[1] (closed_form) -2.4281817650620305 y[1] (numeric) -2.4281817650620234 absolute error 7.105427357601002e-15 relative error 2.9262337193358694e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.745 y[1] (closed_form) -2.418416970757409 y[1] (numeric) -2.4184169707574013 absolute error 7.549516567451064e-15 relative error 3.121676972472898e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.746 y[1] (closed_form) -2.408704464429669 y[1] (numeric) -2.408704464429661 absolute error 7.993605777301127e-15 relative error 3.318632856519343e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.747 y[1] (closed_form) -2.3990438965608756 y[1] (numeric) -2.3990438965608676 absolute error 7.993605777301127e-15 relative error 3.3319964627409603e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.748 y[1] (closed_form) -2.389434920432964 y[1] (numeric) -2.389434920432956 absolute error 7.993605777301127e-15 relative error 3.3453958963036714e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.749 y[1] (closed_form) -2.3798771921016093 y[1] (numeric) -2.3798771921016013 absolute error 7.993605777301127e-15 relative error 3.3588312051691106e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.75 y[1] (closed_form) -2.3703703703703702 y[1] (numeric) -2.3703703703703622 absolute error 7.993605777301127e-15 relative error 3.372302437298913e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.751 y[1] (closed_form) -2.3609141167651133 y[1] (numeric) -2.360914116765105 absolute error 8.43769498715119e-15 relative error 3.5739101762466413e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.752 y[1] (closed_form) -2.351508095508702 y[1] (numeric) -2.351508095508694 absolute error 7.993605777301127e-15 relative error 3.3993528631981463e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.753 y[1] (closed_form) -2.3421519734959646 y[1] (numeric) -2.3421519734959566 absolute error 7.993605777301127e-15 relative error 3.4129321528908464e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.754 y[1] (closed_form) -2.332845420268914 y[1] (numeric) -2.332845420268906 absolute error 7.993605777301127e-15 relative error 3.4265475576944485e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.755 y[1] (closed_form) -2.323588107992243 y[1] (numeric) -2.3235881079922343 absolute error 8.881784197001252e-15 relative error 3.822443472856207e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.756 y[1] (closed_form) -2.3143797114290665 y[1] (numeric) -2.3143797114290576 absolute error 8.881784197001252e-15 relative error 3.837652116089884e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.757 y[1] (closed_form) -2.3052199079169307 y[1] (numeric) -2.3052199079169218 absolute error 8.881784197001252e-15 relative error 3.852901047096679e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.758 y[1] (closed_form) -2.296108377344067 y[1] (numeric) -2.2961083773440585 absolute error 8.43769498715119e-15 relative error 3.674780803208933e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.759 y[1] (closed_form) -2.2870448021259016 y[1] (numeric) -2.2870448021258927 absolute error 8.881784197001252e-15 relative error 3.883519985592443e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.76 y[1] (closed_form) -2.278028867181805 y[1] (numeric) -2.278028867181796 absolute error 8.881784197001252e-15 relative error 3.8988900996628217e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.761 y[1] (closed_form) -2.269060259912094 y[1] (numeric) -2.2690602599120853 absolute error 8.881784197001252e-15 relative error 3.914300714669139e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.762 y[1] (closed_form) -2.26013867017527 y[1] (numeric) -2.2601386701752606 absolute error 9.325873406851315e-15 relative error 4.126239478097204e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.763 y[1] (closed_form) -2.2512637902654933 y[1] (numeric) -2.2512637902654844 absolute error 8.881784197001252e-15 relative error 3.9452436606524095e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.764 y[1] (closed_form) -2.2424353148903013 y[1] (numeric) -2.2424353148902925 absolute error 8.881784197001252e-15 relative error 3.9607760982107724e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.765 y[1] (closed_form) -2.23365294114855 y[1] (numeric) -2.2336529411485406 absolute error 9.325873406851315e-15 relative error 4.175166712361289e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.766 y[1] (closed_form) -2.2249163685085906 y[1] (numeric) -2.2249163685085813 absolute error 9.325873406851315e-15 relative error 4.1915613273602047e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.767 y[1] (closed_form) -2.216225298786674 y[1] (numeric) -2.216225298786665 absolute error 9.325873406851315e-15 relative error 4.207998804073299e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.768 y[1] (closed_form) -2.2075794361255787 y[1] (numeric) -2.207579436125569 absolute error 9.769962616701378e-15 relative error 4.425644874572754e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.769 y[1] (closed_form) -2.1989784869734565 y[1] (numeric) -2.198978486973447 absolute error 9.325873406851315e-15 relative error 4.2410025664629825e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.77 y[1] (closed_form) -2.190422160062909 y[1] (numeric) -2.190422160062899 absolute error 1.021405182655144e-14 relative error 4.663051722531008e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.771 y[1] (closed_form) -2.181910166390266 y[1] (numeric) -2.181910166390255 absolute error 1.0658141036401503e-14 relative error 4.884775368196869e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.772 y[1] (closed_form) -2.1734422191950906 y[1] (numeric) -2.17344221919508 absolute error 1.0658141036401503e-14 relative error 4.903806939182686e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.773 y[1] (closed_form) -2.165018033939892 y[1] (numeric) -2.1650180339398815 absolute error 1.0658141036401503e-14 relative error 4.922887878677784e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.774 y[1] (closed_form) -2.1566373282900457 y[1] (numeric) -2.1566373282900346 absolute error 1.1102230246251565e-14 relative error 5.147935677740633e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.775 y[1] (closed_form) -2.1482998220939207 y[1] (numeric) -2.14829982209391 absolute error 1.0658141036401503e-14 relative error 4.961198118991206e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.776 y[1] (closed_form) -2.1400052373632175 y[1] (numeric) -2.140005237363207 absolute error 1.0658141036401503e-14 relative error 4.980427547707223e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.777 y[1] (closed_form) -2.1317532982534995 y[1] (numeric) -2.1317532982534884 absolute error 1.1102230246251565e-14 relative error 5.208027709091567e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.778 y[1] (closed_form) -2.12354373104493 y[1] (numeric) -2.123543731044919 absolute error 1.1102230246251565e-14 relative error 5.228161814585519e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.779 y[1] (closed_form) -2.1153762641232063 y[1] (numeric) -2.1153762641231952 absolute error 1.1102230246251565e-14 relative error 5.248347745290261e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.78 y[1] (closed_form) -2.107250627960687 y[1] (numeric) -2.107250627960676 absolute error 1.1102230246251565e-14 relative error 5.268585567819173e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.781 y[1] (closed_form) -2.0991665550977134 y[1] (numeric) -2.0991665550977023 absolute error 1.1102230246251565e-14 relative error 5.288875348785638e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.782 y[1] (closed_form) -2.0911237801241227 y[1] (numeric) -2.0911237801241116 absolute error 1.1102230246251565e-14 relative error 5.309217154803037e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.783 y[1] (closed_form) -2.0831220396609478 y[1] (numeric) -2.0831220396609367 absolute error 1.1102230246251565e-14 relative error 5.329611052484751e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.784 y[1] (closed_form) -2.075161072342306 y[1] (numeric) -2.075161072342295 absolute error 1.1102230246251565e-14 relative error 5.350057108444163e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.785 y[1] (closed_form) -2.0672406187974706 y[1] (numeric) -2.067240618797459 absolute error 1.1546319456101628e-14 relative error 5.585377604866438e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.786 y[1] (closed_form) -2.059360421633123 y[1] (numeric) -2.0593604216331114 absolute error 1.1546319456101628e-14 relative error 5.606750200115585e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.787 y[1] (closed_form) -2.0515202254157905 y[1] (numeric) -2.0515202254157785 absolute error 1.199040866595169e-14 relative error 5.844645603492182e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.788 y[1] (closed_form) -2.043719776654455 y[1] (numeric) -2.043719776654443 absolute error 1.199040866595169e-14 relative error 5.866953387112517e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.789 y[1] (closed_form) -2.0359588237833433 y[1] (numeric) -2.0359588237833317 absolute error 1.1546319456101628e-14 relative error 5.671194977630024e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.79 y[1] (closed_form) -2.0282371171448905 y[1] (numeric) -2.028237117144879 absolute error 1.1546319456101628e-14 relative error 5.692785798316892e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.791 y[1] (closed_form) -2.020554408972873 y[1] (numeric) -2.020554408972861 absolute error 1.199040866595169e-14 relative error 5.934217169656364e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.792 y[1] (closed_form) -2.012910453375712 y[1] (numeric) -2.0129104533757 absolute error 1.199040866595169e-14 relative error 5.956752147540101e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.793 y[1] (closed_form) -2.0053050063199493 y[1] (numeric) -2.005305006319937 absolute error 1.2434497875801753e-14 relative error 6.200801292877145e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.794 y[1] (closed_form) -1.997737825613885 y[1] (numeric) -1.9977378256138727 absolute error 1.2212453270876722e-14 relative error 6.11314113108108e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.795 y[1] (closed_form) -1.9902086708913818 y[1] (numeric) -1.9902086708913695 absolute error 1.2212453270876722e-14 relative error 6.136267743928059e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.796 y[1] (closed_form) -1.9827173035958303 y[1] (numeric) -1.982717303595818 absolute error 1.2212453270876722e-14 relative error 6.159452610177142e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.797 y[1] (closed_form) -1.975263486964277 y[1] (numeric) -1.9752634869642645 absolute error 1.2434497875801753e-14 relative error 6.295108454068556e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.798 y[1] (closed_form) -1.967846986011709 y[1] (numeric) -1.9678469860116963 absolute error 1.2656542480726785e-14 relative error 6.431670028561599e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.799 y[1] (closed_form) -1.9604675675154986 y[1] (numeric) -1.9604675675154855 absolute error 1.3100631690576847e-14 relative error 6.682401641144864e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8 y[1] (closed_form) -1.953125 y[1] (numeric) -1.9531249999999867 absolute error 1.3322676295501878e-14 relative error 6.821210263296962e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.801 y[1] (closed_form) -1.9458190537213027 y[1] (numeric) -1.9458190537212896 absolute error 1.3100631690576847e-14 relative error 6.732708093037943e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.802 y[1] (closed_form) -1.9385495006521354 y[1] (numeric) -1.9385495006521223 absolute error 1.3100631690576847e-14 relative error 6.757955722136445e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.803 y[1] (closed_form) -1.9313161144669195 y[1] (numeric) -1.9313161144669062 absolute error 1.3322676295501878e-14 relative error 6.898237008279296e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.804 y[1] (closed_form) -1.9241186705269717 y[1] (numeric) -1.9241186705269584 absolute error 1.3322676295501878e-14 relative error 6.924040860667448e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.805 y[1] (closed_form) -1.9169569458658544 y[1] (numeric) -1.9169569458658409 absolute error 1.354472090042691e-14 relative error 7.065740798006815e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.806 y[1] (closed_form) -1.9098307191748696 y[1] (numeric) -1.909830719174856 absolute error 1.354472090042691e-14 relative error 7.092105475337009e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.807 y[1] (closed_form) -1.9027397707886982 y[1] (numeric) -1.9027397707886846 absolute error 1.354472090042691e-14 relative error 7.118535654937477e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.808 y[1] (closed_form) -1.8956838826711804 y[1] (numeric) -1.8956838826711664 absolute error 1.3988810110276972e-14 relative error 7.37929474325938e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.809 y[1] (closed_form) -1.8886628384012343 y[1] (numeric) -1.8886628384012207 absolute error 1.354472090042691e-14 relative error 7.171592846022537e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.81 y[1] (closed_form) -1.8816764231589203 y[1] (numeric) -1.8816764231589065 absolute error 1.3766765505351941e-14 relative error 7.316223626929743e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.811 y[1] (closed_form) -1.8747244237116334 y[1] (numeric) -1.8747244237116194 absolute error 1.3988810110276972e-14 relative error 7.461795415553142e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.812 y[1] (closed_form) -1.8678066284004387 y[1] (numeric) -1.8678066284004247 absolute error 1.3988810110276972e-14 relative error 7.489431666840575e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8130000000000001 y[1] (closed_form) -1.8609228271265386 y[1] (numeric) -1.8609228271265243 absolute error 1.4210854715202004e-14 relative error 7.636455691795164e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8140000000000001 y[1] (closed_form) -1.8540728113378715 y[1] (numeric) -1.8540728113378573 absolute error 1.4210854715202004e-14 relative error 7.664669169571427e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8150000000000001 y[1] (closed_form) -1.847256374015845 y[1] (numeric) -1.8472563740158308 absolute error 1.4210854715202004e-14 relative error 7.692952053162118e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8160000000000001 y[1] (closed_form) -1.840473309662196 y[1] (numeric) -1.8404733096621817 absolute error 1.4210854715202004e-14 relative error 7.721304427832366e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8170000000000001 y[1] (closed_form) -1.833723414285981 y[1] (numeric) -1.8337234142859666 absolute error 1.4432899320127035e-14 relative error 7.870815853516789e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8180000000000001 y[1] (closed_form) -1.8270064853906929 y[1] (numeric) -1.8270064853906787 absolute error 1.4210854715202004e-14 relative error 7.77821799147205e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8190000000000001 y[1] (closed_form) -1.8203223219615043 y[1] (numeric) -1.8203223219614901 absolute error 1.4210854715202004e-14 relative error 7.80677935097174e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8200000000000001 y[1] (closed_form) -1.8136707244526338 y[1] (numeric) -1.8136707244526193 absolute error 1.4432899320127035e-14 relative error 7.957838832339805e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8210000000000001 y[1] (closed_form) -1.807051494774835 y[1] (numeric) -1.8070514947748206 absolute error 1.4432899320127035e-14 relative error 7.986988396213593e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8220000000000001 y[1] (closed_form) -1.8004644362830107 y[1] (numeric) -1.8004644362829962 absolute error 1.4432899320127035e-14 relative error 8.01620905654943e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8230000000000001 y[1] (closed_form) -1.7939093537639414 y[1] (numeric) -1.7939093537639272 absolute error 1.4210854715202004e-14 relative error 7.921723963022489e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8240000000000001 y[1] (closed_form) -1.7873860534241393 y[1] (numeric) -1.7873860534241248 absolute error 1.4432899320127035e-14 relative error 8.074864012996843e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8250000000000001 y[1] (closed_form) -1.7808943428778135 y[1] (numeric) -1.780894342877799 absolute error 1.4432899320127035e-14 relative error 8.104298482303209e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8260000000000001 y[1] (closed_form) -1.7744340311349573 y[1] (numeric) -1.7744340311349427 absolute error 1.4654943925052066e-14 relative error 8.25893984668369e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8270000000000001 y[1] (closed_form) -1.7680049285895467 y[1] (numeric) -1.768004928589532 absolute error 1.4654943925052066e-14 relative error 8.288972325853908e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8280000000000001 y[1] (closed_form) -1.7616068470078552 y[1] (numeric) -1.7616068470078405 absolute error 1.4654943925052066e-14 relative error 8.31907752285588e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8290000000000001 y[1] (closed_form) -1.7552395995168795 y[1] (numeric) -1.7552395995168648 absolute error 1.4654943925052066e-14 relative error 8.349255525619273e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8300000000000001 y[1] (closed_form) -1.7489030005928776 y[1] (numeric) -1.7489030005928627 absolute error 1.4876988529977098e-14 relative error 8.506468640590017e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8310000000000001 y[1] (closed_form) -1.7425968660500166 y[1] (numeric) -1.7425968660500015 absolute error 1.509903313490213e-14 relative error 8.664673642577727e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8320000000000001 y[1] (closed_form) -1.7363210130291302 y[1] (numeric) -1.7363210130291151 absolute error 1.509903313490213e-14 relative error 8.695991709828379e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8330000000000001 y[1] (closed_form) -1.7300752599865836 y[1] (numeric) -1.7300752599865683 absolute error 1.532107773982716e-14 relative error 8.855729050738504e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8340000000000001 y[1] (closed_form) -1.7238594266832443 y[1] (numeric) -1.7238594266832292 absolute error 1.509903313490213e-14 relative error 8.758854058044111e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8350000000000001 y[1] (closed_form) -1.7176733341735615 y[1] (numeric) -1.7176733341735462 absolute error 1.532107773982716e-14 relative error 8.91966908667108e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8360000000000001 y[1] (closed_form) -1.7115168047947438 y[1] (numeric) -1.7115168047947287 absolute error 1.509903313490213e-14 relative error 8.822018628507071e-13% Desired digits 8 Estimated correct digits 13 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8370000000000001 y[1] (closed_form) -1.7053896621560487 y[1] (numeric) -1.7053896621560334 absolute error 1.532107773982716e-14 relative error 8.983916157001561e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8380000000000001 y[1] (closed_form) -1.6992917311281652 y[1] (numeric) -1.69929173112815 absolute error 1.532107773982716e-14 relative error 9.016155059882182e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8390000000000001 y[1] (closed_form) -1.6932228378327048 y[1] (numeric) -1.6932228378326895 absolute error 1.532107773982716e-14 relative error 9.048470997141681e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8400000000000001 y[1] (closed_form) -1.687182809631789 y[1] (numeric) -1.6871828096317734 absolute error 1.554312234475219e-14 relative error 9.212470786224005e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8410000000000001 y[1] (closed_form) -1.6811714751177345 y[1] (numeric) -1.6811714751177191 absolute error 1.532107773982716e-14 relative error 9.113334342503168e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8420000000000001 y[1] (closed_form) -1.6751886641028413 y[1] (numeric) -1.675188664102826 absolute error 1.532107773982716e-14 relative error 9.145881934458092e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8430000000000001 y[1] (closed_form) -1.6692342076092717 y[1] (numeric) -1.6692342076092561 absolute error 1.554312234475219e-14 relative error 9.3115287680412e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8440000000000001 y[1] (closed_form) -1.6633079378590276 y[1] (numeric) -1.6633079378590125 absolute error 1.509903313490213e-14 relative error 9.077713627902999e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8450000000000001 y[1] (closed_form) -1.6574096882640266 y[1] (numeric) -1.6574096882640112 absolute error 1.532107773982716e-14 relative error 9.243989490537177e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8460000000000001 y[1] (closed_form) -1.6515392934162625 y[1] (numeric) -1.651539293416247 absolute error 1.554312234475219e-14 relative error 9.411294303873776e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8470000000000001 y[1] (closed_form) -1.6456965890780682 y[1] (numeric) -1.6456965890780524 absolute error 1.5765166949677223e-14 relative error 9.579631539802238e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8480000000000001 y[1] (closed_form) -1.639881412172464 y[1] (numeric) -1.6398814121724485 absolute error 1.554312234475219e-14 relative error 9.47819899010938e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8490000000000001 y[1] (closed_form) -1.6340936007736018 y[1] (numeric) -1.634093600773586 absolute error 1.5765166949677223e-14 relative error 9.647652339017656e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8500000000000001 y[1] (closed_form) -1.6283329940972924 y[1] (numeric) -1.6283329940972768 absolute error 1.554312234475219e-14 relative error 9.545420009970944e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8510000000000001 y[1] (closed_form) -1.6225994324916295 y[1] (numeric) -1.6225994324916135 absolute error 1.5987211554602254e-14 relative error 9.852839360391387e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8520000000000001 y[1] (closed_form) -1.6168927574276943 y[1] (numeric) -1.6168927574276786 absolute error 1.5765166949677223e-14 relative error 9.750286082521601e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8530000000000001 y[1] (closed_form) -1.6112128114903546 y[1] (numeric) -1.6112128114903388 absolute error 1.5765166949677223e-14 relative error 9.784658387301807e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8540000000000001 y[1] (closed_form) -1.6055594383691427 y[1] (numeric) -1.6055594383691267 absolute error 1.5987211554602254e-14 relative error 9.95740872156148e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8550000000000001 y[1] (closed_form) -1.5999324828492234 y[1] (numeric) -1.5999324828492074 absolute error 1.5987211554602254e-14 relative error 9.992428884331164e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8560000000000001 y[1] (closed_form) -1.5943317908024446 y[1] (numeric) -1.5943317908024288 absolute error 1.5765166949677223e-14 relative error 9.888259796753123e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8570000000000001 y[1] (closed_form) -1.588757209178473 y[1] (numeric) -1.588757209178457 absolute error 1.5987211554602254e-14 relative error 1.0062715348979626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8580000000000001 y[1] (closed_form) -1.5832085859960079 y[1] (numeric) -1.583208585995992 absolute error 1.5987211554602254e-14 relative error 1.0097981842704942e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8590000000000001 y[1] (closed_form) -1.5776857703340827 y[1] (numeric) -1.5776857703340665 absolute error 1.6209256159527285e-14 relative error 1.0274071341909166e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8600000000000001 y[1] (closed_form) -1.5721886123234425 y[1] (numeric) -1.5721886123234265 absolute error 1.5987211554602254e-14 relative error 1.0168761832574096e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8610000000000001 y[1] (closed_form) -1.5667169631380053 y[1] (numeric) -1.5667169631379894 absolute error 1.5987211554602254e-14 relative error 1.0204275520564469e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8620000000000001 y[1] (closed_form) -1.5612706749863985 y[1] (numeric) -1.5612706749863825 absolute error 1.5987211554602254e-14 relative error 1.0239871798489735e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8630000000000001 y[1] (closed_form) -1.5558496011035772 y[1] (numeric) -1.5558496011035612 absolute error 1.5987211554602254e-14 relative error 1.027555076227316e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8640000000000001 y[1] (closed_form) -1.5504535957425183 y[1] (numeric) -1.5504535957425023 absolute error 1.5987211554602254e-14 relative error 1.0311312507838015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8650000000000001 y[1] (closed_form) -1.5450825141659918 y[1] (numeric) -1.5450825141659759 absolute error 1.5987211554602254e-14 relative error 1.034715713110757e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8660000000000001 y[1] (closed_form) -1.539736212638408 y[1] (numeric) -1.539736212638392 absolute error 1.5987211554602254e-14 relative error 1.0383084728005092e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8670000000000001 y[1] (closed_form) -1.5344145484177392 y[1] (numeric) -1.5344145484177232 absolute error 1.5987211554602254e-14 relative error 1.0419095394453853e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8680000000000001 y[1] (closed_form) -1.5291173797475175 y[1] (numeric) -1.5291173797475013 absolute error 1.6209256159527285e-14 relative error 1.060040018785458e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8690000000000001 y[1] (closed_form) -1.5238445658489033 y[1] (numeric) -1.5238445658488873 absolute error 1.5987211554602254e-14 relative error 1.0491366319698164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8700000000000001 y[1] (closed_form) -1.5185959669128306 y[1] (numeric) -1.5185959669128144 absolute error 1.6209256159527285e-14 relative error 1.06738438088172e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8710000000000001 y[1] (closed_form) -1.5133714440922195 y[1] (numeric) -1.5133714440922035 absolute error 1.5987211554602254e-14 relative error 1.0563970674226657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8720000000000001 y[1] (closed_form) -1.5081708594942653 y[1] (numeric) -1.5081708594942493 absolute error 1.5987211554602254e-14 relative error 1.0600398127280646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8730000000000001 y[1] (closed_form) -1.5029940761727942 y[1] (numeric) -1.502994076172778 absolute error 1.6209256159527285e-14 relative error 1.078464407577862e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8740000000000001 y[1] (closed_form) -1.49784095812069 y[1] (numeric) -1.4978409581206735 absolute error 1.6431300764452317e-14 relative error 1.0969990288600687e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8750000000000001 y[1] (closed_form) -1.4927113702623902 y[1] (numeric) -1.4927113702623738 absolute error 1.6431300764452317e-14 relative error 1.1007687816810833e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8760000000000001 y[1] (closed_form) -1.4876051784464521 y[1] (numeric) -1.4876051784464357 absolute error 1.6431300764452317e-14 relative error 1.1045471609349993e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8770000000000001 y[1] (closed_form) -1.4825222494381838 y[1] (numeric) -1.4825222494381673 absolute error 1.6431300764452317e-14 relative error 1.1083341764805971e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8780000000000001 y[1] (closed_form) -1.4774624509123435 y[1] (numeric) -1.477462450912327 absolute error 1.6431300764452317e-14 relative error 1.1121298381766571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8790000000000001 y[1] (closed_form) -1.472425651445906 y[1] (numeric) -1.4724256514458895 absolute error 1.6431300764452317e-14 relative error 1.1159341558819596e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8800000000000001 y[1] (closed_form) -1.4674117205108934 y[1] (numeric) -1.4674117205108768 absolute error 1.6653345369377348e-14 relative error 1.1348788575560326e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8810000000000001 y[1] (closed_form) -1.4624205284672718 y[1] (numeric) -1.4624205284672551 absolute error 1.6653345369377348e-14 relative error 1.1387521609007584e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8820000000000001 y[1] (closed_form) -1.4574519465559128 y[1] (numeric) -1.457451946555896 absolute error 1.687538997430238e-14 relative error 1.1578693907665644e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8830000000000001 y[1] (closed_form) -1.4525058468916168 y[1] (numeric) -1.4525058468915997 absolute error 1.709743457922741e-14 relative error 1.1770991914294985e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8840000000000001 y[1] (closed_form) -1.447582102456201 y[1] (numeric) -1.4475821024561841 absolute error 1.687538997430238e-14 relative error 1.1657639277018466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8850000000000001 y[1] (closed_form) -1.4426805870916508 y[1] (numeric) -1.442680587091634 absolute error 1.687538997430238e-14 relative error 1.1697246171671344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8860000000000001 y[1] (closed_form) -1.4378011754933295 y[1] (numeric) -1.4378011754933124 absolute error 1.709743457922741e-14 relative error 1.1891376130890311e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8870000000000001 y[1] (closed_form) -1.432943743203252 y[1] (numeric) -1.4329437432032346 absolute error 1.7319479184152442e-14 relative error 1.208664280527572e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8880000000000001 y[1] (closed_form) -1.428108166603418 y[1] (numeric) -1.4281081666034008 absolute error 1.7319479184152442e-14 relative error 1.2127568197684017e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8890000000000001 y[1] (closed_form) -1.4232943229092072 y[1] (numeric) -1.42329432290919 absolute error 1.7319479184152442e-14 relative error 1.216858586827741e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8900000000000001 y[1] (closed_form) -1.4185020901628294 y[1] (numeric) -1.418502090162812 absolute error 1.7319479184152442e-14 relative error 1.2209695920972767e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8910000000000001 y[1] (closed_form) -1.4137313472268367 y[1] (numeric) -1.4137313472268196 absolute error 1.709743457922741e-14 relative error 1.2093835658921755e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8920000000000001 y[1] (closed_form) -1.4089819737776952 y[1] (numeric) -1.4089819737776779 absolute error 1.7319479184152442e-14 relative error 1.229219358833689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8930000000000001 y[1] (closed_form) -1.404253850299408 y[1] (numeric) -1.4042538502993909 absolute error 1.709743457922741e-14 relative error 1.2175458572238903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8940000000000001 y[1] (closed_form) -1.3995468580772037 y[1] (numeric) -1.3995468580771864 absolute error 1.7319479184152442e-14 relative error 1.2375062031111388e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8950000000000001 y[1] (closed_form) -1.394860879191273 y[1] (numeric) -1.3948608791912558 absolute error 1.7319479184152442e-14 relative error 1.2416635553069715e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8960000000000001 y[1] (closed_form) -1.390195796510568 y[1] (numeric) -1.3901957965105507 absolute error 1.7319479184152442e-14 relative error 1.245830208063126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8970000000000001 y[1] (closed_form) -1.3855514936866513 y[1] (numeric) -1.3855514936866344 absolute error 1.687538997430238e-14 relative error 1.2179547314694623e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8980000000000001 y[1] (closed_form) -1.380927855147605 y[1] (numeric) -1.380927855147588 absolute error 1.687538997430238e-14 relative error 1.2220327015199936e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.8990000000000001 y[1] (closed_form) -1.3763247660919882 y[1] (numeric) -1.376324766091971 absolute error 1.709743457922741e-14 relative error 1.2422529188205195e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9000000000000001 y[1] (closed_form) -1.3717421124828526 y[1] (numeric) -1.3717421124828355 absolute error 1.709743457922741e-14 relative error 1.2464029808256789e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9010000000000001 y[1] (closed_form) -1.36717978104181 y[1] (numeric) -1.3671797810417927 absolute error 1.7319479184152442e-14 relative error 1.26680334395779e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9020000000000001 y[1] (closed_form) -1.3626376592431504 y[1] (numeric) -1.3626376592431335 absolute error 1.687538997430238e-14 relative error 1.2384356075756393e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9030000000000001 y[1] (closed_form) -1.3581156353080164 y[1] (numeric) -1.3581156353079993 absolute error 1.709743457922741e-14 relative error 1.2589086035630366e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9040000000000001 y[1] (closed_form) -1.3536135981986235 y[1] (numeric) -1.3536135981986062 absolute error 1.7319479184152442e-14 relative error 1.279499497286452e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9050000000000001 y[1] (closed_form) -1.349131437612536 y[1] (numeric) -1.3491314376125187 absolute error 1.7319479184152442e-14 relative error 1.2837503227114415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9060000000000001 y[1] (closed_form) -1.3446690439769917 y[1] (numeric) -1.3446690439769744 absolute error 1.7319479184152442e-14 relative error 1.2880105526136282e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9070000000000001 y[1] (closed_form) -1.3402263084432766 y[1] (numeric) -1.340226308443259 absolute error 1.7541523789077473e-14 relative error 1.3088478922229646e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9080000000000001 y[1] (closed_form) -1.3358031228811487 y[1] (numeric) -1.3358031228811311 absolute error 1.7541523789077473e-14 relative error 1.313181822126808e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9090000000000001 y[1] (closed_form) -1.3313993798733115 y[1] (numeric) -1.331399379873294 absolute error 1.7541523789077473e-14 relative error 1.3175253086528121e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9100000000000001 y[1] (closed_form) -1.3270149727099365 y[1] (numeric) -1.327014972709919 absolute error 1.7541523789077473e-14 relative error 1.3218783623258907e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9110000000000001 y[1] (closed_form) -1.3226497953832326 y[1] (numeric) -1.3226497953832148 absolute error 1.7763568394002505e-14 relative error 1.343028854350337e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9120000000000001 y[1] (closed_form) -1.3183037425820623 y[1] (numeric) -1.318303742582045 absolute error 1.7319479184152442e-14 relative error 1.3137700079823852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9130000000000001 y[1] (closed_form) -1.3139767096866095 y[1] (numeric) -1.313976709686592 absolute error 1.7541523789077473e-14 relative error 1.3349950314767162e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9140000000000001 y[1] (closed_form) -1.3096685927630873 y[1] (numeric) -1.3096685927630696 absolute error 1.7763568394002505e-14 relative error 1.3563407179617575e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9150000000000001 y[1] (closed_form) -1.305379288558497 y[1] (numeric) -1.3053792885584792 absolute error 1.7763568394002505e-14 relative error 1.3607974747031908e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9160000000000001 y[1] (closed_form) -1.3011086944954313 y[1] (numeric) -1.3011086944954136 absolute error 1.7763568394002505e-14 relative error 1.3652639836436723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9170000000000001 y[1] (closed_form) -1.2968567086669223 y[1] (numeric) -1.296856708666905 absolute error 1.7319479184152442e-14 relative error 1.3354967490553101e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9180000000000001 y[1] (closed_form) -1.292623229831336 y[1] (numeric) -1.2926232298313185 absolute error 1.7541523789077473e-14 relative error 1.3570484719949157e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9190000000000002 y[1] (closed_form) -1.288408157407308 y[1] (numeric) -1.2884081574072903 absolute error 1.7763568394002505e-14 relative error 1.3787221302408177e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9200000000000002 y[1] (closed_form) -1.284211391468726 y[1] (numeric) -1.2842113914687086 absolute error 1.7541523789077473e-14 relative error 1.3659374076269167e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9210000000000002 y[1] (closed_form) -1.2800328327397565 y[1] (numeric) -1.2800328327397388 absolute error 1.7763568394002505e-14 relative error 1.3877431843667415e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9220000000000002 y[1] (closed_form) -1.2758723825899103 y[1] (numeric) -1.2758723825898926 absolute error 1.7763568394002505e-14 relative error 1.3922684303224749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9230000000000002 y[1] (closed_form) -1.2717299430291558 y[1] (numeric) -1.271729943029138 absolute error 1.7763568394002505e-14 relative error 1.3968035030842438e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9240000000000002 y[1] (closed_form) -1.2676054167030715 y[1] (numeric) -1.2676054167030537 absolute error 1.7763568394002505e-14 relative error 1.4013484133101893e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9250000000000002 y[1] (closed_form) -1.2634987068880417 y[1] (numeric) -1.2634987068880235 absolute error 1.8207657603852567e-14 relative error 1.4410507509499132e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9260000000000002 y[1] (closed_form) -1.2594097174864913 y[1] (numeric) -1.2594097174864731 absolute error 1.8207657603852567e-14 relative error 1.4457294835068529e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9270000000000002 y[1] (closed_form) -1.255338353022166 y[1] (numeric) -1.255338353022148 absolute error 1.7985612998927536e-14 relative error 1.4327303037964265e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9280000000000002 y[1] (closed_form) -1.2512845186354498 y[1] (numeric) -1.2512845186354316 absolute error 1.8207657603852567e-14 relative error 1.4551173080690213e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9290000000000002 y[1] (closed_form) -1.2472481200787222 y[1] (numeric) -1.247248120078704 absolute error 1.8207657603852567e-14 relative error 1.4598264219234388e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9300000000000002 y[1] (closed_form) -1.243229063711759 y[1] (numeric) -1.243229063711741 absolute error 1.7985612998927536e-14 relative error 1.4466853714978368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9310000000000002 y[1] (closed_form) -1.2392272564971691 y[1] (numeric) -1.2392272564971507 absolute error 1.84297022087776e-14 relative error 1.487193096516571e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9320000000000002 y[1] (closed_form) -1.235242605995871 y[1] (numeric) -1.2352426059958526 absolute error 1.84297022087776e-14 relative error 1.4919904899102228e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9330000000000002 y[1] (closed_form) -1.2312750203626102 y[1] (numeric) -1.2312750203625917 absolute error 1.84297022087776e-14 relative error 1.4967981891933498e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9340000000000002 y[1] (closed_form) -1.2273244083415127 y[1] (numeric) -1.2273244083414943 absolute error 1.84297022087776e-14 relative error 1.5016162054237732e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9350000000000002 y[1] (closed_form) -1.223390679261677 y[1] (numeric) -1.2233906792616585 absolute error 1.865174681370263e-14 relative error 1.5245944839925592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9360000000000002 y[1] (closed_form) -1.2194737430328042 y[1] (numeric) -1.2194737430327858 absolute error 1.84297022087776e-14 relative error 1.5112832329577952e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9370000000000002 y[1] (closed_form) -1.2155735101408662 y[1] (numeric) -1.2155735101408474 absolute error 1.887379141862766e-14 relative error 1.5526655740005786e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9380000000000002 y[1] (closed_form) -1.2116898916438068 y[1] (numeric) -1.2116898916437882 absolute error 1.865174681370263e-14 relative error 1.5393168617094952e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9390000000000002 y[1] (closed_form) -1.207822799167286 y[1] (numeric) -1.2078227991672674 absolute error 1.865174681370263e-14 relative error 1.54424530043329e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9400000000000002 y[1] (closed_form) -1.203972144900455 y[1] (numeric) -1.2039721449004361 absolute error 1.887379141862766e-14 relative error 1.5676269171649445e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9410000000000002 y[1] (closed_form) -1.2001378415917678 y[1] (numeric) -1.200137841591749 absolute error 1.887379141862766e-14 relative error 1.5726353060907536e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9420000000000002 y[1] (closed_form) -1.1963198025448318 y[1] (numeric) -1.196319802544813 absolute error 1.887379141862766e-14 relative error 1.5776543511591976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9430000000000002 y[1] (closed_form) -1.19251794161429 y[1] (numeric) -1.192517941614271 absolute error 1.887379141862766e-14 relative error 1.5826840636945514e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9440000000000002 y[1] (closed_form) -1.1887321732017386 y[1] (numeric) -1.1887321732017198 absolute error 1.887379141862766e-14 relative error 1.5877244550210897e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9450000000000002 y[1] (closed_form) -1.184962412251681 y[1] (numeric) -1.1849624122516624 absolute error 1.865174681370263e-14 relative error 1.5740370007399927e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9460000000000002 y[1] (closed_form) -1.181208574247515 y[1] (numeric) -1.181208574247496 absolute error 1.887379141862766e-14 relative error 1.59783731934482e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9470000000000002 y[1] (closed_form) -1.1774705752075512 y[1] (numeric) -1.1774705752075323 absolute error 1.887379141862766e-14 relative error 1.6029098149905616e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9480000000000002 y[1] (closed_form) -1.1737483316810706 y[1] (numeric) -1.1737483316810517 absolute error 1.887379141862766e-14 relative error 1.6079930347245871e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9490000000000002 y[1] (closed_form) -1.17004176074441 y[1] (numeric) -1.1700417607443911 absolute error 1.887379141862766e-14 relative error 1.6130869898711718e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9500000000000002 y[1] (closed_form) -1.1663507799970834 y[1] (numeric) -1.1663507799970645 absolute error 1.887379141862766e-14 relative error 1.6181916917545901e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9510000000000002 y[1] (closed_form) -1.162675307557935 y[1] (numeric) -1.162675307557916 absolute error 1.9095836023552692e-14 relative error 1.642404882895577e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9520000000000002 y[1] (closed_form) -1.159015262061324 y[1] (numeric) -1.159015262061305 absolute error 1.9095836023552692e-14 relative error 1.6475914208058393e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9530000000000002 y[1] (closed_form) -1.1553705626533437 y[1] (numeric) -1.1553705626533244 absolute error 1.9317880628477724e-14 relative error 1.6720073414466804e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9540000000000002 y[1] (closed_form) -1.1517411289880677 y[1] (numeric) -1.1517411289880486 absolute error 1.9095836023552692e-14 relative error 1.6579972307084754e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9550000000000002 y[1] (closed_form) -1.1481268812238337 y[1] (numeric) -1.1481268812238146 absolute error 1.9095836023552692e-14 relative error 1.6632165256158526e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9560000000000002 y[1] (closed_form) -1.1445277400195526 y[1] (numeric) -1.1445277400195335 absolute error 1.9095836023552692e-14 relative error 1.6684467624372712e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9570000000000002 y[1] (closed_form) -1.140943626531052 y[1] (numeric) -1.1409436265310329 absolute error 1.9095836023552692e-14 relative error 1.6736879526302327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9580000000000002 y[1] (closed_form) -1.1373744624074487 y[1] (numeric) -1.1373744624074293 absolute error 1.9317880628477724e-14 relative error 1.6984626670435441e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9590000000000002 y[1] (closed_form) -1.1338201697875516 y[1] (numeric) -1.1338201697875323 absolute error 1.9317880628477724e-14 relative error 1.7037869975533591e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9600000000000002 y[1] (closed_form) -1.1302806712962956 y[1] (numeric) -1.1302806712962763 absolute error 1.9317880628477724e-14 relative error 1.7091224435716877e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9610000000000002 y[1] (closed_form) -1.1267558900412036 y[1] (numeric) -1.1267558900411843 absolute error 1.9317880628477724e-14 relative error 1.7144690166892583e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9620000000000002 y[1] (closed_form) -1.1232457496088786 y[1] (numeric) -1.123245749608859 absolute error 1.9539925233402755e-14 relative error 1.7395948518128542e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9630000000000002 y[1] (closed_form) -1.1197501740615248 y[1] (numeric) -1.1197501740615052 absolute error 1.9539925233402755e-14 relative error 1.7450254249595797e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9640000000000002 y[1] (closed_form) -1.1162690879334984 y[1] (numeric) -1.116269087933479 absolute error 1.9539925233402755e-14 relative error 1.7504672882751047e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9650000000000002 y[1] (closed_form) -1.1128024162278856 y[1] (numeric) -1.1128024162278662 absolute error 1.9317880628477724e-14 relative error 1.7359668119665286e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9660000000000002 y[1] (closed_form) -1.10935008441311 y[1] (numeric) -1.1093500844130901 absolute error 1.9761969838327786e-14 relative error 1.7814006701755156e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9670000000000002 y[1] (closed_form) -1.1059120184195657 y[1] (numeric) -1.1059120184195461 absolute error 1.9539925233402755e-14 relative error 1.7668607364740307e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9680000000000002 y[1] (closed_form) -1.1024881446362833 y[1] (numeric) -1.1024881446362638 absolute error 1.9539925233402755e-14 relative error 1.7723478777043067e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9690000000000002 y[1] (closed_form) -1.099078389907618 y[1] (numeric) -1.0990783899075982 absolute error 1.9761969838327786e-14 relative error 1.7980491673563759e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9700000000000002 y[1] (closed_form) -1.095682681529967 y[1] (numeric) -1.095682681529947 absolute error 1.9984014443252818e-14 relative error 1.823887041396689e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9710000000000002 y[1] (closed_form) -1.0923009472485148 y[1] (numeric) -1.0923009472484948 absolute error 1.9984014443252818e-14 relative error 1.8295337465001903e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9720000000000002 y[1] (closed_form) -1.0889331152540043 y[1] (numeric) -1.0889331152539845 absolute error 1.9761969838327786e-14 relative error 1.8148010710206121e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9730000000000002 y[1] (closed_form) -1.0855791141795355 y[1] (numeric) -1.0855791141795157 absolute error 1.9761969838327786e-14 relative error 1.8204080734607344e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9740000000000002 y[1] (closed_form) -1.0822388730973878 y[1] (numeric) -1.0822388730973678 absolute error 1.9984014443252818e-14 relative error 1.846543765893217e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9750000000000002 y[1] (closed_form) -1.0789123215158711 y[1] (numeric) -1.0789123215158511 absolute error 1.9984014443252818e-14 relative error 1.852237113686429e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9760000000000002 y[1] (closed_form) -1.0755993893762024 y[1] (numeric) -1.0755993893761826 absolute error 1.9761969838327786e-14 relative error 1.8372983504377786e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9770000000000002 y[1] (closed_form) -1.0723000070494066 y[1] (numeric) -1.0723000070493869 absolute error 1.9761969838327786e-14 relative error 1.842951572172959e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9780000000000002 y[1] (closed_form) -1.0690141053332431 y[1] (numeric) -1.0690141053332232 absolute error 1.9984014443252818e-14 relative error 1.8693873489183956e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9790000000000002 y[1] (closed_form) -1.0657416154491577 y[1] (numeric) -1.0657416154491377 absolute error 1.9984014443252818e-14 relative error 1.875127531247857e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9800000000000002 y[1] (closed_form) -1.0624824690392602 y[1] (numeric) -1.06248246903924 absolute error 2.020605904817785e-14 relative error 1.901778112767262e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9810000000000002 y[1] (closed_form) -1.0592365981633247 y[1] (numeric) -1.0592365981633047 absolute error 1.9984014443252818e-14 relative error 1.88664312372744e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9820000000000002 y[1] (closed_form) -1.0560039352958164 y[1] (numeric) -1.0560039352957964 absolute error 1.9984014443252818e-14 relative error 1.892418557858379e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9830000000000002 y[1] (closed_form) -1.0527844133229411 y[1] (numeric) -1.052784413322921 absolute error 2.020605904817785e-14 relative error 1.9192969417547456e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9840000000000002 y[1] (closed_form) -1.0495779655397182 y[1] (numeric) -1.0495779655396982 absolute error 1.9984014443252818e-14 relative error 1.9040047618545954e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9850000000000002 y[1] (closed_form) -1.0463845256470803 y[1] (numeric) -1.0463845256470603 absolute error 1.9984014443252818e-14 relative error 1.9098155557006904e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9860000000000002 y[1] (closed_form) -1.043204027748993 y[1] (numeric) -1.043204027748973 absolute error 1.9984014443252818e-14 relative error 1.915638160099321e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9870000000000002 y[1] (closed_form) -1.0400364063495993 y[1] (numeric) -1.0400364063495793 absolute error 1.9984014443252818e-14 relative error 1.9214725870408968e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9880000000000002 y[1] (closed_form) -1.0368815963503883 y[1] (numeric) -1.0368815963503686 absolute error 1.9761969838327786e-14 relative error 1.9059041946434277e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9890000000000002 y[1] (closed_form) -1.0337395330473853 y[1] (numeric) -1.0337395330473655 absolute error 1.9761969838327786e-14 relative error 1.911697212553244e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9900000000000002 y[1] (closed_form) -1.0306101521283642 y[1] (numeric) -1.0306101521283442 absolute error 1.9984014443252818e-14 relative error 1.939046923027377e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9910000000000002 y[1] (closed_form) -1.0274933896700829 y[1] (numeric) -1.027493389670063 absolute error 1.9761969838327786e-14 relative error 1.923318440488765e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9920000000000002 y[1] (closed_form) -1.0243891821355435 y[1] (numeric) -1.024389182135524 absolute error 1.9539925233402755e-14 relative error 1.9074708689004197e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9930000000000002 y[1] (closed_form) -1.0212974663712704 y[1] (numeric) -1.0212974663712509 absolute error 1.9539925233402755e-14 relative error 1.9132452470316267e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9940000000000002 y[1] (closed_form) -1.0182181796046117 y[1] (numeric) -1.0182181796045924 absolute error 1.9317880628477724e-14 relative error 1.89722409356108e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9950000000000002 y[1] (closed_form) -1.0151512594410645 y[1] (numeric) -1.0151512594410452 absolute error 1.9317880628477724e-14 relative error 1.902955884536263e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9960000000000002 y[1] (closed_form) -1.0120966438616186 y[1] (numeric) -1.0120966438615993 absolute error 1.9317880628477724e-14 relative error 1.9086992082861813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9970000000000002 y[1] (closed_form) -1.009054271220123 y[1] (numeric) -1.0090542712201034 absolute error 1.9539925233402755e-14 relative error 1.9364592956705464e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9980000000000002 y[1] (closed_form) -1.006024080240673 y[1] (numeric) -1.0060240802406537 absolute error 1.9317880628477724e-14 relative error 1.9202205004731368e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 TOP MAIN SOLVE Loop x[1] -0.9990000000000002 y[1] (closed_form) -1.0030060100150204 y[1] (numeric) -1.003006010015001 absolute error 1.9539925233402755e-14 relative error 1.9481364057938333e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h -0.001 Finished! diff ( y , x , 1 ) = neg ( 3.0 ) / x / x / x / x ; Iterations 300 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Expected Time Remaining 0 Seconds Optimized Time Remaining 0 Seconds Expected Total Time 0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 0.0%