Initializing... Initialized Initializing(2)... PI = 0.314159265358979323846264338327950271e1+/-0.313e-33 E = 0.271828182845904523536028747135266232e1+/-0.256e-32 LOG_E_10 = 0.230258509299404568401799145468436324e1+/-0.5e-32 Initialized(2) ##############ECHO OF PROBLEM################# ##############temp/nonlinear1postode.ode################# diff ( y , x , 1 ) = y * y ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=20 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb x_start=c(0.0) x_end=c(0.5) $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 $glob_type_given_pole=1 # ELIMINATED in preodein.rb $array_given_rad_poles[1][1]=c(1.0) # ELIMINATED in preodein.rb $array_given_rad_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][1]=c(0.0) # ELIMINATED in preodein.rb $array_given_ord_poles[1][2]=c(0.0) # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb # ELIMINATED in preodein.rb #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=true $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(1.0) - c(x))) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.0e0+/-0.50e-33 y[1] (closed_form) 0.1e1+/-0.1e-32 y[1] (numeric) 0.1e1+/-0.2e-32 $glob_prec 0.1e-15+/-0.50e-49% absolute error 0.0e0+/-0.3e-32 relative error 0.0e0+/-0.3000000000000000000000000000000006e-30% Desired digits 8 Estimated correct digits 14 Correct digits 34 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.100000000000000000000000000000001677e1+/-0.525e-31 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.999999999999999860089854589854594548e0+/-0.728e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.100000000000000439066128316130222685e1+/-0.126e-28 Order of pole (three term test) 0.10000000000000585000000000002541357e1+/-0.725e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e-1+/-0.50e-32 y[1] (closed_form) 0.10101010101010101010101010101010101e1+/-0.611e-32 y[1] (numeric) 0.101010101010101010101009998207691093e1+/-0.16e-31 absolute error 0.102802409917e-23+/-0.221e-31 relative error 0.10177438581783e-21+/-0.218e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.990000000000000000000000000000000059e0+/-0.544e-31 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.989999999999999861488957051522468191e0+/-0.743e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.990000000000004346754671337255624041e0+/-0.129e-28 Order of pole (three term test) 0.10000000000000585000000000002541345e1+/-0.749e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2e-1+/-0.100e-31 y[1] (closed_form) 0.102040816326530612244897959183673469e1+/-0.114e-31 y[1] (numeric) 0.102040816326530612244897747223115729e1+/-0.26e-31 absolute error 0.21196055774e-23+/-0.374e-31 relative error 0.2077213465852e-21+/-0.366e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.98000000000000000000000000000000008e0+/-0.103e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.979999999999999862888059533726699196e0+/-0.745e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.980000000000004302848059533745378678e0+/-0.13e-28 Order of pole (three term test) 0.10000000000000585000000000002541353e1+/-0.766e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3e-1+/-0.150e-31 y[1] (closed_form) 0.103092783505154639175257731958762886e1+/-0.169e-31 y[1] (numeric) 0.103092783505154639175257404087293304e1+/-0.382e-31 absolute error 0.327871469582e-23+/-0.551e-31 relative error 0.318035325494540000000000000000000001e-21+/-0.534e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.970000000000000000000000000000000071e0+/-0.153e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.969999999999999864287162037101614011e0+/-0.737e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.970000000000004258941447751405817083e0+/-0.129e-28 Order of pole (three term test) 0.10000000000000585000000000002541331e1+/-0.762e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4e-1+/-0.200e-31 y[1] (closed_form) 0.104166666666666666666666666666666666e1+/-0.227e-31 y[1] (numeric) 0.104166666666666666666666215706648856e1+/-0.567e-31 absolute error 0.45096001781e-23+/-0.794e-31 relative error 0.432921617097600000000000000000000002e-21+/-0.762e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.960000000000000000000000000000000079e0+/-0.203e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.95999999999999986568626456230793491e0+/-0.764e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.960000000000004215034835990897661894e0+/-0.132e-28 Order of pole (three term test) 0.10000000000000585000000000002541378e1+/-0.8e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5e-1+/-0.250e-31 y[1] (closed_form) 0.105263157894736842105263157894736842e1+/-0.287e-31 y[1] (numeric) 0.105263157894736842105262576213595277e1+/-0.702e-31 absolute error 0.581681141565e-23+/-0.989e-31 relative error 0.55259708448675e-21+/-0.939e-29% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.950000000000000000000000000000000136e0+/-0.254e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.949999999999999867085367110034167449e0+/-0.765e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.950000000000004171128224252909417837e0+/-0.135e-28 Order of pole (three term test) 0.10000000000000585000000000002541335e1+/-0.815e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6e-1+/-0.300e-31 y[1] (closed_form) 0.106382978723404255319148936170212765e1+/-0.35e-31 y[1] (numeric) 0.106382978723404255319148215647945061e1+/-0.897e-31 absolute error 0.720522267704e-23+/-0.124e-30 relative error 0.677290931641760000000000000000000006e-21+/-0.116e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.940000000000000000000000000000000158e0+/-0.304e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.939999999999999868484469680998076313e0+/-0.791e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.940000000000004127221612538158850633e0+/-0.137e-28 Order of pole (three term test) 0.10000000000000585000000000002541347e1+/-0.847e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7e-1+/-0.350e-31 y[1] (closed_form) 0.107526881720430107526881720430107526e1+/-0.415e-31 y[1] (numeric) 0.107526881720430107526880852424155007e1+/-0.1e-30 absolute error 0.868005952519e-23+/-0.141e-30 relative error 0.807245535842670000000000000000000006e-21+/-0.131e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.930000000000000000000000000000000163e0+/-0.353e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.929999999999999869883572275948256274e0+/-0.795e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.930000000000004083315000847394554169e0+/-0.136e-28 Order of pole (three term test) 0.10000000000000585000000000002541339e1+/-0.855e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8e-1+/-0.400e-31 y[1] (closed_form) 0.108695652173913043478260869565217391e1+/-0.483e-31 y[1] (numeric) 0.108695652173913043478259844872450558e1+/-0.1e-30 absolute error 0.1024692766833e-22+/-0.148e-30 relative error 0.942717345486360000000000000000000002e-21+/-0.136e-28% Desired digits 8 Estimated correct digits 13 Correct digits 22 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.920000000000000000000000000000000138e0+/-0.404e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.919999999999999871282674895665805454e0+/-0.784e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.920000000000004039408389181397626965e0+/-0.136e-28 Order of pole (three term test) 0.10000000000000585000000000002541343e1+/-0.858e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9e-1+/-0.450e-31 y[1] (closed_form) 0.10989010989010989010989010989010989e1+/-0.554e-31 y[1] (numeric) 0.109890109890109890109888918705660217e1+/-0.1e-30 absolute error 0.1191184449673e-22+/-0.155e-30 relative error 0.108397784920243e-20+/-0.141e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.910000000000000000000000000000000174e0+/-0.453e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.909999999999999872681777540966108777e0+/-0.776e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.91000000000000399550177754098345386e0+/-0.134e-28 Order of pole (three term test) 0.1000000000000058500000000000254132e1+/-0.855e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.1e0+/-0.500e-31 y[1] (closed_form) 0.111111111111111111111111111111111111e1+/-0.629e-31 y[1] (numeric) 0.111111111111111111111109742983752466e1+/-0.1e-30 absolute error 0.1368127358645e-22+/-0.162e-30 relative error 0.12313146227805e-20+/-0.145e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.900000000000000000000000000000000179e0+/-0.503e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.899999999999999874080880212700740118e0+/-0.769e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.900000000000003951595165927003608986e0+/-0.133e-28 Order of pole (three term test) 0.10000000000000585000000000002541343e1+/-0.858e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11e0+/-0.550e-31 y[1] (closed_form) 0.11235955056179775280898876404494382e1+/-0.706e-31 y[1] (numeric) 0.112359550561797752808987207828695443e1+/-0.1e-30 absolute error 0.1556216248377e-22+/-0.17e-30 relative error 0.138503246105553e-20+/-0.151e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.890000000000000000000000000000000152e0+/-0.551e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.88999999999999987547998291175949254e0+/-0.754e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.890000000000003907688554340347885226e0+/-0.132e-28 Order of pole (three term test) 0.10000000000000585000000000002541354e1+/-0.857e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12e0+/-0.600e-31 y[1] (closed_form) 0.113636363636363636363636363636363636e1+/-0.786e-31 y[1] (numeric) 0.113636363636363636363634607437951497e1+/-0.1e-30 absolute error 0.1756198412139e-22+/-0.178e-30 relative error 0.154545460268232e-20+/-0.156e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.880000000000000000000000000000000173e0+/-0.597e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.879999999999999876879085639072546814e0+/-0.751e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.880000000000003863781942781946463168e0+/-0.13e-28 Order of pole (three term test) 0.10000000000000585000000000002541352e1+/-0.856e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13e0+/-0.650e-31 y[1] (closed_form) 0.114942528735632183908045977011494252e1+/-0.871e-31 y[1] (numeric) 0.11494252873563218390804400813326835e1+/-0.1e-30 absolute error 0.1968878225902e-22+/-0.187e-30 relative error 0.171292405653474000000000000000000001e-20+/-0.162e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.870000000000000000000000000000000203e0+/-0.647e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.869999999999999878278188395612789112e0+/-0.743e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.870000000000003819875331252772229285e0+/-0.129e-28 Order of pole (three term test) 0.10000000000000585000000000002541383e1+/-0.856e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14e0+/-0.700e-31 y[1] (closed_form) 0.116279069767441860465116279069767441e1+/-0.959e-31 y[1] (numeric) 0.116279069767441860465114083947628577e1+/-0.1e-30 absolute error 0.2195122138864e-22+/-0.195e-30 relative error 0.188780503942304000000000000000000001e-20+/-0.167e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.860000000000000000000000000000000183e0+/-0.7e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.859999999999999879677291182398290364e0+/-0.726e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.860000000000003775968719753843254025e0+/-0.127e-28 Order of pole (three term test) 0.1000000000000058500000000000254134e1+/-0.852e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15e0+/-0.750e-31 y[1] (closed_form) 0.117647058823529411764705882352941176e1+/-0.105e-30 y[1] (numeric) 0.117647058823529411764703446488781344e1+/-0.1e-30 absolute error 0.2435864159832e-22+/-0.205e-30 relative error 0.20704845358572e-20+/-0.174e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.850000000000000000000000000000000198e0+/-0.751e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.849999999999999881076394000494960154e0+/-0.721e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.850000000000003732062108286225447648e0+/-0.125e-28 Order of pole (three term test) 0.10000000000000585000000000002541364e1+/-0.859e-26 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16e0+/-0.800e-31 y[1] (closed_form) 0.119047619047619047619047619047619047e1+/-0.114e-30 y[1] (numeric) 0.1190476190476190476190449269357241e1+/-0.1e-30 absolute error 0.2692111894947e-22+/-0.214e-30 relative error 0.226137399175548000000000000000000001e-20+/-0.179e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 Radius of convergence (given) for eq 1 0.840000000000000000000000000000000208e0+/-0.797e-30 Order of pole (given) 0.0e0+/-0.50e-33 Radius of convergence (ratio test) for eq 1 0.839999999999999882475496851019390162e0+/-0.7e-29 Order of pole (ratio test) 0.1e1+/-0.50e-33 Radius of convergence (three term test) for eq 1 0.840000000000003688155496851035401023e0+/-0.124e-28 Order of pole (three term test) 0.10000000000000585000000000002541307e1+/-0.849e-26 NO COMPLEX POLE (six term test) for Equation 1 Finished! Maximum Time Reached before Solution Completed! diff ( y , x , 1 ) = y * y ; Iterations 161 Total Elapsed Time 3 Minutes 3 Seconds Elapsed Time(since restart) 3 Minutes 3 Seconds Expected Time Remaining 6 Minutes 21 Seconds Optimized Time Remaining 6 Minutes 21 Seconds Expected Total Time 9 Minutes 24 Seconds Time to Timeout 0.0 Seconds Percent Done 0.324e2+/-0.162e-28%