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=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(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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 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 TOP MAIN SOLVE Loop x[1] 0.17e0+/-0.850e-31 y[1] (closed_form) 0.120481927710843373493975903614457831e1+/-0.124e-30 y[1] (numeric) 0.120481927710843373493972938661258656e1+/-0.1e-30 absolute error 0.2964953199175e-22+/-0.224e-30 relative error 0.246091115531525e-20+/-0.185e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.18e0+/-0.900e-31 y[1] (closed_form) 0.121951219512195121951219512195121951e1+/-0.135e-30 y[1] (numeric) 0.121951219512195121951216256631610063e1+/-0.1e-30 absolute error 0.3255563511888e-22+/-0.235e-30 relative error 0.266956207974816e-20+/-0.192e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.19e0+/-0.950e-31 y[1] (closed_form) 0.12345679012345679012345679012345679e1+/-0.146e-30 y[1] (numeric) 0.123456790123456790123453224909500959e1+/-0.104e-30 absolute error 0.3565213955831e-22+/-0.250e-30 relative error 0.288782330422311e-20+/-0.202e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.2e0+/-0.1e-30 y[1] (closed_form) 0.125e1+/-0.156e-30 y[1] (numeric) 0.124999999999999999999996104719710899e1+/-0.114e-30 absolute error 0.3895280289101e-22+/-0.270e-30 relative error 0.31162242312808e-20+/-0.216e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.21e0+/-0.1e-30 y[1] (closed_form) 0.126582278481012658227848101265822784e1+/-0.16e-30 y[1] (numeric) 0.126582278481012658227843854013011336e1+/-0.124e-30 absolute error 0.4247252811448e-22+/-0.284e-30 relative error 0.335532972104392000000000000000000002e-20+/-0.224e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.22e0+/-0.1e-30 y[1] (closed_form) 0.128205128205128205128205128205128205e1+/-0.165e-30 y[1] (numeric) 0.128205128205128205128200505457788471e1+/-0.134e-30 absolute error 0.4622747339734e-22+/-0.299e-30 relative error 0.360574292499252e-20+/-0.233e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.23e0+/-0.1e-30 y[1] (closed_form) 0.12987012987012987012987012987012987e1+/-0.169e-30 y[1] (numeric) 0.129870129870129870129865106352747081e1+/-0.144e-30 absolute error 0.5023517382789e-22+/-0.313e-30 relative error 0.386810838474753e-20+/-0.241e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.24e0+/-0.1e-30 y[1] (closed_form) 0.131578947368421052631578947368421052e1+/-0.173e-30 y[1] (numeric) 0.131578947368421052631573495900757381e1+/-0.154e-30 absolute error 0.5451467663671e-22+/-0.327e-30 relative error 0.414311542438996000000000000000000001e-20+/-0.248e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.25e0+/-0.1e-30 y[1] (closed_form) 0.133333333333333333333333333333333333e1+/-0.178e-30 y[1] (numeric) 0.133333333333333333333327424664175546e1+/-0.164e-30 absolute error 0.5908669157787e-22+/-0.342e-30 relative error 0.443150186834025000000000000000000001e-20+/-0.256e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.26e0+/-0.1e-30 y[1] (closed_form) 0.135135135135135135135135135135135135e1+/-0.183e-30 y[1] (numeric) 0.13513513513513513513512873775929627e1+/-0.174e-30 absolute error 0.6397375838865e-22+/-0.357e-30 relative error 0.47340581207601e-20+/-0.264e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.27e0+/-0.1e-30 y[1] (closed_form) 0.136986301369863013698630136986301369e1+/-0.188e-30 y[1] (numeric) 0.136986301369863013698623216942949332e1+/-0.184e-30 absolute error 0.6920043352037e-22+/-0.372e-30 relative error 0.505163164698701000000000000000000003e-20+/-0.271e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.28e0+/-0.1e-30 y[1] (closed_form) 0.138888888888888888888888888888888888e1+/-0.193e-30 y[1] (numeric) 0.138888888888888888888881409539024086e1+/-0.194e-30 absolute error 0.7479349864802e-22+/-0.387e-30 relative error 0.538513190265744000000000000000000003e-20+/-0.278e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.29e0+/-0.1e-30 y[1] (closed_form) 0.140845070422535211267605633802816901e1+/-0.199e-30 y[1] (numeric) 0.140845070422535211267597555583433739e1+/-0.204e-30 absolute error 0.8078219383162e-22+/-0.403e-30 relative error 0.573553576204502000000000000000000001e-20+/-0.286e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.3e0+/-0.1e-30 y[1] (closed_form) 0.142857142857142857142857142857142857e1+/-0.204e-30 y[1] (numeric) 0.142857142857142857142848423009280088e1+/-0.214e-30 absolute error 0.8719847862769e-22+/-0.418e-30 relative error 0.61038935039383e-20+/-0.292e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.31e0+/-0.1e-30 y[1] (closed_form) 0.144927536231884057971014492753623188e1+/-0.21e-30 y[1] (numeric) 0.14492753623188405797100508502112889e1+/-0.224e-30 absolute error 0.9407732494298e-22+/-0.434e-30 relative error 0.649133542106562000000000000000000001e-20+/-0.299e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.32e0+/-0.1e-30 y[1] (closed_form) 0.14705882352941176470588235294117647e1+/-0.216e-30 y[1] (numeric) 0.147058823529411764705872207236576455e1+/-0.234e-30 absolute error 0.10145704600015e-21+/-0.450e-30 relative error 0.689907912801020000000000000000000002e-20+/-0.306e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.33e0+/-0.1e-30 y[1] (closed_form) 0.149253731343283582089552238805970149e1+/-0.223e-30 y[1] (numeric) 0.149253731343283582089541300839324154e1+/-0.244e-30 absolute error 0.10937966645995e-21+/-0.467e-30 relative error 0.732843765281665000000000000000000001e-20+/-0.312e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.34e0+/-0.1e-30 y[1] (closed_form) 0.151515151515151515151515151515151515e1+/-0.23e-30 y[1] (numeric) 0.151515151515151515151503362381198095e1+/-0.254e-30 absolute error 0.1178913395342e-21+/-0.484e-30 relative error 0.77808284092572e-20+/-0.319e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.35e0+/-0.1e-30 y[1] (closed_form) 0.153846153846153846153846153846153846e1+/-0.237e-30 y[1] (numeric) 0.153846153846153846153833449564368523e1+/-0.264e-30 absolute error 0.12704281785323e-21+/-0.501e-30 relative error 0.825778316045995e-20+/-0.325e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.36e0+/-0.1e-30 y[1] (closed_form) 0.15625e1+/-0.244e-30 y[1] (numeric) 0.156249999999999999999986311001405614e1+/-0.283e-30 absolute error 0.13688998594386e-21+/-0.527e-30 relative error 0.876095910040704e-20+/-0.337e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.37e0+/-0.1e-30 y[1] (closed_form) 0.15873015873015873015873015873015873e1+/-0.252e-30 y[1] (numeric) 0.158730158730158730158715409283812348e1+/-0.303e-30 absolute error 0.14749446346382e-21+/-0.555e-30 relative error 0.929215119822066e-20+/-0.349e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.38e0+/-0.1e-30 y[1] (closed_form) 0.16129032258064516129032258064516129e1+/-0.26e-30 y[1] (numeric) 0.161290322580645161290306688216174932e1+/-0.323e-30 absolute error 0.15892428986358e-21+/-0.583e-30 relative error 0.985330597154196000000000000000000001e-20+/-0.361e-28% Desired digits 8 Estimated correct digits 13 Correct digits 21 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.39e0+/-0.1e-30 y[1] (closed_form) 0.163934426229508196721311475409836065e1+/-0.269e-30 y[1] (numeric) 0.16393442622950819672129434993954049e1+/-0.343e-30 absolute error 0.17125470295575e-21+/-0.612e-30 relative error 0.1044653688030075e-19+/-0.373e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.4e0+/-0.1e-30 y[1] (closed_form) 0.166666666666666666666666666666666666e1+/-0.278e-30 y[1] (numeric) 0.166666666666666666666648209764064396e1+/-0.363e-30 absolute error 0.1845690260227e-21+/-0.641e-30 relative error 0.11074141561362e-19+/-0.384e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.41e0+/-0.1e-30 y[1] (closed_form) 0.169491525423728813559322033898305084e1+/-0.288e-30 y[1] (numeric) 0.169491525423728813559302137930239392e1+/-0.383e-30 absolute error 0.19895968065692e-21+/-0.671e-30 relative error 0.1173862115875828e-19+/-0.395e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.42e0+/-0.1e-30 y[1] (closed_form) 0.172413793103448275862068965517241379e1+/-0.298e-30 y[1] (numeric) 0.172413793103448275862047512582682029e1+/-0.403e-30 absolute error 0.2145293455935e-21+/-0.701e-30 relative error 0.12442702044423e-19+/-0.406e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.43e0+/-0.1e-30 y[1] (closed_form) 0.17543859649122807017543859649122807e1+/-0.308e-30 y[1] (numeric) 0.175438596491228070175415457262681145e1+/-0.424e-30 absolute error 0.23139228546925e-21+/-0.732e-30 relative error 0.1318936027174725e-19+/-0.417e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.44e0+/-0.1e-30 y[1] (closed_form) 0.178571428571428571428571428571428571e1+/-0.319e-30 y[1] (numeric) 0.178571428571428571428546460983642497e1+/-0.454e-30 absolute error 0.24967587786074e-21+/-0.773e-30 relative error 0.1398184916020144e-19+/-0.432e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.45e0+/-0.1e-30 y[1] (closed_form) 0.181818181818181818181818181818181818e1+/-0.331e-30 y[1] (numeric) 0.181818181818181818181791229580953386e1+/-0.484e-30 absolute error 0.26952237228432e-21+/-0.815e-30 relative error 0.148237304756376e-19+/-0.448e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.46e0+/-0.1e-30 y[1] (closed_form) 0.185185185185185185185185185185185185e1+/-0.343e-30 y[1] (numeric) 0.185185185185185185185156076093056329e1+/-0.514e-30 absolute error 0.29109092128856e-21+/-0.857e-30 relative error 0.1571890974958224e-19+/-0.462e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.47e0+/-0.1e-30 y[1] (closed_form) 0.188679245283018867924528301886792452e1+/-0.356e-30 y[1] (numeric) 0.188679245283018867924496845893632496e1+/-0.544e-30 absolute error 0.31455993159956e-21+/-0.900e-30 relative error 0.1667167637477668e-19+/-0.477e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.48e0+/-0.1e-30 y[1] (closed_form) 0.192307692307692307692307692307692307e1+/-0.37e-30 y[1] (numeric) 0.192307692307692307692273679328410881e1+/-0.576e-30 absolute error 0.34012979281426e-21+/-0.946e-30 relative error 0.1768674922634152e-19+/-0.491e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 TOP MAIN SOLVE Loop x[1] 0.49e0+/-0.1e-30 y[1] (closed_form) 0.19607843137254901960784313725490196e1+/-0.385e-30 y[1] (numeric) 0.196078431372549019607806334649622424e1+/-0.616e-30 absolute error 0.36802605279536e-21+/-0.1e-29 relative error 0.1876932869256336e-19+/-0.51e-28% Desired digits 8 Estimated correct digits 13 Correct digits 20 h 0.1e-2+/-0.5e-33 Finished! diff ( y , x , 1 ) = y * y ; Iterations 500 Total Elapsed Time 1 Minutes 39 Seconds Elapsed Time(since restart) 1 Minutes 39 Seconds Time to Timeout 1 Minutes 21 Seconds Percent Done 0.1002e3+/-0.201e-28%