##############ECHO OF PROBLEM################# ##############temp/sub_c_linpostode.ode################# diff ( y , x , 1 ) = 0.3 - ( 0.1 * x + 0.2 ) ; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=c(0.1) x_end=c(5.0) $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 $glob_type_given_pole=3 # 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(-0.05) * c(x) * c(x) + c(0.1) * c(x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (closed_form) 0.009500000000000001 y[1] (numeric) 0.009500000000000001 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] 0.11000000000000001 y[1] (closed_form) 0.010395000000000003 y[1] (numeric) 0.010395000000000003 absolute error 0.0 relative error 0.0% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.12000000000000002 y[1] (closed_form) 0.011280000000000004 y[1] (numeric) 0.01128 absolute error 3.469446951953614e-18 relative error 3.0757508439305083e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.13000000000000003 y[1] (closed_form) 0.012155000000000004 y[1] (numeric) 0.012155 absolute error 5.204170427930421e-18 relative error 4.281505905331484e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.14000000000000004 y[1] (closed_form) 0.013020000000000006 y[1] (numeric) 0.01302 absolute error 5.204170427930421e-18 relative error 3.997058700407388e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.15000000000000005 y[1] (closed_form) 0.013875000000000005 y[1] (numeric) 0.013875 absolute error 5.204170427930421e-18 relative error 3.750753461571473e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.16000000000000006 y[1] (closed_form) 0.014720000000000006 y[1] (numeric) 0.014719999999999999 absolute error 6.938893903907228e-18 relative error 4.7139224890674086e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.17000000000000007 y[1] (closed_form) 0.015555000000000006 y[1] (numeric) 0.015554999999999998 absolute error 8.673617379884035e-18 relative error 5.576096033355212e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.18000000000000008 y[1] (closed_form) 0.01638000000000001 y[1] (numeric) 0.016379999999999995 absolute error 1.3877787807814457e-17 relative error 8.47239792906865e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.19000000000000009 y[1] (closed_form) 0.01719500000000001 y[1] (numeric) 0.017194999999999995 absolute error 1.3877787807814457e-17 relative error 8.070827454384675e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2000000000000001 y[1] (closed_form) 0.01800000000000001 y[1] (numeric) 0.018 absolute error 1.0408340855860843e-17 relative error 5.782411586589354e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2100000000000001 y[1] (closed_form) 0.01879500000000001 y[1] (numeric) 0.018794999999999996 absolute error 1.3877787807814457e-17 relative error 7.383765792931338e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2200000000000001 y[1] (closed_form) 0.01958000000000001 y[1] (numeric) 0.019579999999999993 absolute error 1.734723475976807e-17 relative error 8.85967045953425e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.23000000000000012 y[1] (closed_form) 0.020355000000000012 y[1] (numeric) 0.020354999999999995 absolute error 1.734723475976807e-17 relative error 8.522345742946727e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.24000000000000013 y[1] (closed_form) 0.02112000000000001 y[1] (numeric) 0.021119999999999996 absolute error 1.3877787807814457e-17 relative error 6.570922257487902e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (closed_form) 0.02187500000000001 y[1] (numeric) 0.02187499999999999 absolute error 1.734723475976807e-17 relative error 7.930164461608258e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (closed_form) 0.022620000000000008 y[1] (numeric) 0.02261999999999999 absolute error 1.734723475976807e-17 relative error 7.668980884070763e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (closed_form) 0.02335500000000001 y[1] (numeric) 0.023354999999999994 absolute error 1.734723475976807e-17 relative error 7.427632095811631e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (closed_form) 0.02408000000000001 y[1] (numeric) 0.024079999999999994 absolute error 1.734723475976807e-17 relative error 7.204001146083082e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (closed_form) 0.02479500000000001 y[1] (numeric) 0.02479499999999999 absolute error 2.0816681711721685e-17 relative error 8.395515915193255e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (closed_form) 0.025500000000000012 y[1] (numeric) 0.02549999999999999 absolute error 2.0816681711721685e-17 relative error 8.163404592832029e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (closed_form) 0.02619500000000001 y[1] (numeric) 0.026194999999999993 absolute error 1.734723475976807e-17 relative error 6.622345775822892e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (closed_form) 0.026880000000000015 y[1] (numeric) 0.02687999999999999 absolute error 2.42861286636753e-17 relative error 9.035018104045866e-14% Desired digits 8 Estimated correct digits 13 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (closed_form) 0.027555000000000017 y[1] (numeric) 0.02755499999999999 absolute error 2.7755575615628914e-17 relative error 1.0072791005490435e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (closed_form) 0.028220000000000016 y[1] (numeric) 0.02821999999999999 absolute error 2.42861286636753e-17 relative error 8.605998817744609e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (closed_form) 0.028875000000000015 y[1] (numeric) 0.02887499999999999 absolute error 2.42861286636753e-17 relative error 8.410780489584515e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (closed_form) 0.02952000000000002 y[1] (numeric) 0.029519999999999987 absolute error 3.122502256758253e-17 relative error 1.0577582170590281e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (closed_form) 0.030155000000000015 y[1] (numeric) 0.030154999999999987 absolute error 2.7755575615628914e-17 relative error 9.204302973181529e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (closed_form) 0.030780000000000016 y[1] (numeric) 0.030779999999999988 absolute error 2.7755575615628914e-17 relative error 9.017405982985348e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (closed_form) 0.03139500000000002 y[1] (numeric) 0.03139499999999999 absolute error 2.7755575615628914e-17 relative error 8.84076305641946e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (closed_form) 0.032000000000000015 y[1] (numeric) 0.03199999999999999 absolute error 2.7755575615628914e-17 relative error 8.673617379884032e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (closed_form) 0.03259500000000002 y[1] (numeric) 0.032594999999999985 absolute error 3.469446951953614e-17 relative error 1.064410784461915e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (closed_form) 0.033180000000000015 y[1] (numeric) 0.03317999999999999 absolute error 2.7755575615628914e-17 relative error 8.365152385662719e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (closed_form) 0.03375500000000002 y[1] (numeric) 0.033754999999999986 absolute error 3.469446951953614e-17 relative error 1.027832010651344e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (closed_form) 0.03432000000000002 y[1] (numeric) 0.03431999999999998 absolute error 3.469446951953614e-17 relative error 1.0109111165366004e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (closed_form) 0.03487500000000002 y[1] (numeric) 0.03487499999999998 absolute error 3.469446951953614e-17 relative error 9.94823498768061e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (closed_form) 0.03542000000000002 y[1] (numeric) 0.035419999999999986 absolute error 3.469446951953614e-17 relative error 9.795163613646561e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (closed_form) 0.03595500000000002 y[1] (numeric) 0.03595499999999998 absolute error 4.163336342344337e-17 relative error 1.1579297294797203e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (closed_form) 0.03648000000000002 y[1] (numeric) 0.03647999999999998 absolute error 4.163336342344337e-17 relative error 1.141265444721583e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (closed_form) 0.03699500000000002 y[1] (numeric) 0.03699499999999998 absolute error 4.163336342344337e-17 relative error 1.1253781165953061e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (closed_form) 0.03750000000000002 y[1] (numeric) 0.037499999999999985 absolute error 3.469446951953614e-17 relative error 9.251858538542967e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (closed_form) 0.03799500000000002 y[1] (numeric) 0.03799499999999998 absolute error 4.163336342344337e-17 relative error 1.0957590057492657e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (closed_form) 0.03848000000000002 y[1] (numeric) 0.03847999999999998 absolute error 4.163336342344337e-17 relative error 1.0819481139148479e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (closed_form) 0.03895500000000002 y[1] (numeric) 0.03895499999999998 absolute error 3.469446951953614e-17 relative error 8.906294318967045e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (closed_form) 0.03942000000000002 y[1] (numeric) 0.039419999999999976 absolute error 4.163336342344337e-17 relative error 1.0561482349934894e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (closed_form) 0.03987500000000002 y[1] (numeric) 0.03987499999999997 absolute error 4.85722573273506e-17 relative error 1.2181130364225848e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (closed_form) 0.04032000000000002 y[1] (numeric) 0.040319999999999974 absolute error 4.85722573273506e-17 relative error 1.2046690805394488e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (closed_form) 0.04075500000000002 y[1] (numeric) 0.04075499999999998 absolute error 4.163336342344337e-17 relative error 1.021552286184354e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (closed_form) 0.04118000000000002 y[1] (numeric) 0.041179999999999974 absolute error 4.85722573273506e-17 relative error 1.1795108627331368e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (closed_form) 0.04159500000000002 y[1] (numeric) 0.04159499999999997 absolute error 4.85722573273506e-17 relative error 1.1677426932888707e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (closed_form) 0.04200000000000002 y[1] (numeric) 0.041999999999999975 absolute error 4.85722573273506e-17 relative error 1.1564823173178707e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (closed_form) 0.042395000000000016 y[1] (numeric) 0.042394999999999974 absolute error 4.163336342344337e-17 relative error 9.820347546513352e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (closed_form) 0.04278000000000002 y[1] (numeric) 0.04277999999999997 absolute error 4.85722573273506e-17 relative error 1.1353963844635478e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (closed_form) 0.04315500000000001 y[1] (numeric) 0.04315499999999997 absolute error 4.163336342344337e-17 relative error 9.647402021421239e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (closed_form) 0.04352000000000002 y[1] (numeric) 0.043519999999999975 absolute error 4.163336342344337e-17 relative error 9.566489757225035e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (closed_form) 0.04387500000000001 y[1] (numeric) 0.04387499999999997 absolute error 4.163336342344337e-17 relative error 9.489085680556891e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (closed_form) 0.04422000000000001 y[1] (numeric) 0.04421999999999997 absolute error 4.163336342344337e-17 relative error 9.415052786848341e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (closed_form) 0.04455500000000001 y[1] (numeric) 0.04455499999999997 absolute error 4.163336342344337e-17 relative error 9.344262916270533e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (closed_form) 0.04488000000000002 y[1] (numeric) 0.04487999999999997 absolute error 4.85722573273506e-17 relative error 1.0822695482921252e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (closed_form) 0.04519500000000001 y[1] (numeric) 0.045194999999999964 absolute error 4.85722573273506e-17 relative error 1.0747263486525187e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (closed_form) 0.04550000000000001 y[1] (numeric) 0.045499999999999964 absolute error 4.85722573273506e-17 relative error 1.0675221390626503e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (closed_form) 0.045795000000000016 y[1] (numeric) 0.04579499999999997 absolute error 4.85722573273506e-17 relative error 1.0606454269538286e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (closed_form) 0.04608000000000001 y[1] (numeric) 0.04607999999999997 absolute error 4.163336342344337e-17 relative error 9.035018104045868e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (closed_form) 0.046355000000000014 y[1] (numeric) 0.046354999999999966 absolute error 4.85722573273506e-17 relative error 1.0478321071588952e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (closed_form) 0.04662000000000001 y[1] (numeric) 0.04661999999999997 absolute error 4.163336342344337e-17 relative error 8.930365384693986e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (closed_form) 0.04687500000000002 y[1] (numeric) 0.046874999999999965 absolute error 5.551115123125783e-17 relative error 1.1842378929335e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (closed_form) 0.04712000000000002 y[1] (numeric) 0.04711999999999996 absolute error 6.245004513516506e-17 relative error 1.3253405164508706e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (closed_form) 0.04735500000000002 y[1] (numeric) 0.04735499999999996 absolute error 6.245004513516506e-17 relative error 1.318763491398269e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (closed_form) 0.04758000000000002 y[1] (numeric) 0.04757999999999996 absolute error 5.551115123125783e-17 relative error 1.166690862363552e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (closed_form) 0.04779500000000002 y[1] (numeric) 0.04779499999999996 absolute error 5.551115123125783e-17 relative error 1.1614426452820966e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (closed_form) 0.04800000000000002 y[1] (numeric) 0.04799999999999996 absolute error 6.245004513516506e-17 relative error 1.3010426069826048e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (closed_form) 0.048195000000000016 y[1] (numeric) 0.04819499999999996 absolute error 5.551115123125783e-17 relative error 1.1518031171544312e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (closed_form) 0.04838000000000002 y[1] (numeric) 0.04837999999999996 absolute error 6.245004513516506e-17 relative error 1.290823586919492e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (closed_form) 0.048555000000000015 y[1] (numeric) 0.04855499999999996 absolute error 5.551115123125783e-17 relative error 1.1432633350068542e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (closed_form) 0.04872000000000001 y[1] (numeric) 0.04871999999999996 absolute error 5.551115123125783e-17 relative error 1.1393914456333705e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (closed_form) 0.048875000000000016 y[1] (numeric) 0.04887499999999996 absolute error 5.551115123125783e-17 relative error 1.1357780303070651e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (closed_form) 0.049020000000000015 y[1] (numeric) 0.04901999999999996 absolute error 5.551115123125783e-17 relative error 1.1324184257702531e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (closed_form) 0.04915500000000002 y[1] (numeric) 0.049154999999999956 absolute error 6.245004513516506e-17 relative error 1.2704718774318998e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (closed_form) 0.04928000000000001 y[1] (numeric) 0.049279999999999956 absolute error 5.551115123125783e-17 relative error 1.126443815569355e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (closed_form) 0.049395000000000015 y[1] (numeric) 0.04939499999999995 absolute error 6.245004513516506e-17 relative error 1.2642989196308337e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (closed_form) 0.049500000000000016 y[1] (numeric) 0.049499999999999954 absolute error 6.245004513516506e-17 relative error 1.2616170734376775e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (closed_form) 0.049595000000000014 y[1] (numeric) 0.04959499999999995 absolute error 6.245004513516506e-17 relative error 1.2592004261551576e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (closed_form) 0.04968000000000001 y[1] (numeric) 0.04967999999999995 absolute error 5.551115123125783e-17 relative error 1.1173742196307934e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (closed_form) 0.04975500000000001 y[1] (numeric) 0.04975499999999995 absolute error 5.551115123125783e-17 relative error 1.1156899051604426e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (closed_form) 0.04982000000000001 y[1] (numeric) 0.049819999999999955 absolute error 5.551115123125783e-17 relative error 1.1142342679899201e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (closed_form) 0.04987500000000001 y[1] (numeric) 0.049874999999999954 absolute error 5.551115123125783e-17 relative error 1.1130055384713347e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (closed_form) 0.049920000000000006 y[1] (numeric) 0.04991999999999995 absolute error 5.551115123125783e-17 relative error 1.1120022281902608e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (closed_form) 0.049955000000000006 y[1] (numeric) 0.04995499999999995 absolute error 5.551115123125783e-17 relative error 1.1112231254380506e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (closed_form) 0.04998000000000001 y[1] (numeric) 0.04997999999999995 absolute error 6.245004513516506e-17 relative error 1.2495007029844947e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (closed_form) 0.049995000000000005 y[1] (numeric) 0.04999499999999995 absolute error 5.551115123125783e-17 relative error 1.1103340580309595e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (closed_form) 0.05 y[1] (numeric) 0.04999999999999995 absolute error 5.551115123125783e-17 relative error 1.1102230246251565e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0099999999999996 y[1] (closed_form) 0.049995000000000005 y[1] (numeric) 0.04999499999999995 absolute error 5.551115123125783e-17 relative error 1.1103340580309595e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0199999999999985 y[1] (closed_form) 0.04998000000000001 y[1] (numeric) 0.04997999999999995 absolute error 6.245004513516506e-17 relative error 1.2495007029844947e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0299999999999974 y[1] (closed_form) 0.04995500000000001 y[1] (numeric) 0.04995499999999995 absolute error 6.245004513516506e-17 relative error 1.2501260161178069e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0399999999999963 y[1] (closed_form) 0.04992000000000002 y[1] (numeric) 0.04991999999999996 absolute error 6.245004513516506e-17 relative error 1.251002506714043e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0499999999999952 y[1] (closed_form) 0.04987500000000003 y[1] (numeric) 0.04987499999999996 absolute error 6.938893903907228e-17 relative error 1.3912569230891677e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.059999999999994 y[1] (closed_form) 0.04982000000000004 y[1] (numeric) 0.04981999999999996 absolute error 7.632783294297951e-17 relative error 1.5320721184861391e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.069999999999993 y[1] (closed_form) 0.049755000000000056 y[1] (numeric) 0.049754999999999966 absolute error 9.020562075079397e-17 relative error 1.8129960958857173e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0799999999999919 y[1] (closed_form) 0.04968000000000007 y[1] (numeric) 0.049679999999999974 absolute error 9.71445146547012e-17 relative error 1.955404884353886e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0899999999999908 y[1] (closed_form) 0.04959500000000009 y[1] (numeric) 0.04959499999999998 absolute error 1.1102230246251565e-16 relative error 2.2385785353869432e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.0999999999999897 y[1] (closed_form) 0.049500000000000106 y[1] (numeric) 0.04949999999999999 absolute error 1.1796119636642288e-16 relative error 2.383054472048942e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1099999999999886 y[1] (closed_form) 0.049395000000000126 y[1] (numeric) 0.049395 absolute error 1.249000902703301e-16 relative error 2.528597839261662e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1199999999999875 y[1] (closed_form) 0.04928000000000016 y[1] (numeric) 0.04928000000000001 absolute error 1.457167719820518e-16 relative error 2.956915015869548e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1299999999999863 y[1] (closed_form) 0.049155000000000185 y[1] (numeric) 0.049155000000000025 absolute error 1.5959455978986625e-16 relative error 3.2467614645481773e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1399999999999852 y[1] (closed_form) 0.049020000000000216 y[1] (numeric) 0.04902000000000004 absolute error 1.734723475976807e-16 relative error 3.538807580532027e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1499999999999841 y[1] (closed_form) 0.04887500000000024 y[1] (numeric) 0.04887500000000006 absolute error 1.8041124150158794e-16 relative error 3.691278598497945e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.159999999999983 y[1] (closed_form) 0.04872000000000028 y[1] (numeric) 0.048720000000000076 absolute error 2.0122792321330962e-16 relative error 4.1302939904209457e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.169999999999982 y[1] (closed_form) 0.048555000000000306 y[1] (numeric) 0.04855500000000009 absolute error 2.1510571102112408e-16 relative error 4.430145423151534e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1799999999999808 y[1] (closed_form) 0.04838000000000035 y[1] (numeric) 0.04838000000000011 absolute error 2.42861286636753e-16 relative error 5.019869504686879e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1899999999999797 y[1] (closed_form) 0.04819500000000039 y[1] (numeric) 0.04819500000000013 absolute error 2.636779683484747e-16 relative error 5.471064806483506e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.1999999999999786 y[1] (closed_form) 0.04800000000000043 y[1] (numeric) 0.04800000000000015 absolute error 2.8449465006019636e-16 relative error 5.926971876254038e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2099999999999775 y[1] (closed_form) 0.047795000000000476 y[1] (numeric) 0.047795000000000164 absolute error 3.122502256758253e-16 relative error 6.533114879711731e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2199999999999764 y[1] (closed_form) 0.047580000000000525 y[1] (numeric) 0.047580000000000185 absolute error 3.400058012914542e-16 relative error 7.14598153197668e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2299999999999753 y[1] (closed_form) 0.04735500000000058 y[1] (numeric) 0.04735500000000021 absolute error 3.677613769070831e-16 relative error 7.766051671567493e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2399999999999742 y[1] (closed_form) 0.04712000000000062 y[1] (numeric) 0.04712000000000024 absolute error 3.8163916471489756e-16 relative error 8.099303156088552e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2499999999999731 y[1] (closed_form) 0.04687500000000068 y[1] (numeric) 0.046875000000000264 absolute error 4.163336342344337e-16 relative error 8.881784197001123e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.259999999999972 y[1] (closed_form) 0.04662000000000073 y[1] (numeric) 0.04662000000000029 absolute error 4.371503159461554e-16 relative error 9.37688365392854e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 1.269999999999971 y[1] (closed_form) 0.046355000000000784 y[1] (numeric) 0.04635500000000032 absolute error 4.649058915617843e-16 relative error 1.0029250168520686e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2799999999999698 y[1] (closed_form) 0.04608000000000084 y[1] (numeric) 0.04608000000000035 absolute error 4.926614671774132e-16 relative error 1.0691438089787418e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2899999999999687 y[1] (closed_form) 0.045795000000000904 y[1] (numeric) 0.045795000000000384 absolute error 5.204170427930421e-16 relative error 1.1364058145933657e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.2999999999999676 y[1] (closed_form) 0.04550000000000097 y[1] (numeric) 0.04550000000000042 absolute error 5.48172618408671e-16 relative error 1.204774985513537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3099999999999665 y[1] (closed_form) 0.04519500000000104 y[1] (numeric) 0.04519500000000045 absolute error 5.898059818321144e-16 relative error 1.3050248519351717e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3199999999999654 y[1] (closed_form) 0.0448800000000011 y[1] (numeric) 0.04488000000000048 absolute error 6.175615574477433e-16 relative error 1.376028425685669e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3299999999999643 y[1] (closed_form) 0.04455500000000118 y[1] (numeric) 0.04455500000000052 absolute error 6.591949208711867e-16 relative error 1.479508295076129e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3399999999999632 y[1] (closed_form) 0.044220000000001244 y[1] (numeric) 0.04422000000000055 absolute error 6.938893903907228e-16 relative error 1.5691754644746796e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3499999999999621 y[1] (closed_form) 0.04387500000000133 y[1] (numeric) 0.04387500000000059 absolute error 7.424616477180734e-16 relative error 1.6922202796992613e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.359999999999961 y[1] (closed_form) 0.043520000000001405 y[1] (numeric) 0.04352000000000063 absolute error 7.771561172376096e-16 relative error 1.7857447546819496e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.36999999999996 y[1] (closed_form) 0.043155000000001484 y[1] (numeric) 0.043155000000000665 absolute error 8.187894806610529e-16 relative error 1.897322397546112e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3799999999999588 y[1] (closed_form) 0.04278000000000157 y[1] (numeric) 0.042780000000000706 absolute error 8.604228440844963e-16 relative error 2.0112735953353547e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3899999999999577 y[1] (closed_form) 0.042395000000001654 y[1] (numeric) 0.04239500000000075 absolute error 9.020562075079397e-16 relative error 2.127741968411144e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.3999999999999566 y[1] (closed_form) 0.04200000000000173 y[1] (numeric) 0.042000000000000794 absolute error 9.367506770274758e-16 relative error 2.2303587548272317e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4099999999999555 y[1] (closed_form) 0.041595000000001825 y[1] (numeric) 0.04159500000000084 absolute error 9.853229343548264e-16 relative error 2.368849463528749e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4199999999999544 y[1] (closed_form) 0.04118000000000191 y[1] (numeric) 0.04118000000000089 absolute error 1.0200174038743626e-15 relative error 2.4769728117394738e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4299999999999533 y[1] (closed_form) 0.04075500000000201 y[1] (numeric) 0.040755000000000936 absolute error 1.0755285551056204e-15 relative error 2.6390100726427858e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4399999999999522 y[1] (closed_form) 0.040320000000002104 y[1] (numeric) 0.04032000000000098 absolute error 1.124100812432971e-15 relative error 2.7879484435340087e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.449999999999951 y[1] (closed_form) 0.0398750000000022 y[1] (numeric) 0.03987500000000103 absolute error 1.1726730697603216e-15 relative error 2.94087290222008e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.45999999999995 y[1] (closed_form) 0.0394200000000023 y[1] (numeric) 0.03942000000000107 absolute error 1.2281842209915794e-15 relative error 3.1156372932306135e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.469999999999949 y[1] (closed_form) 0.038955000000002404 y[1] (numeric) 0.03895500000000112 absolute error 1.2836953722228372e-15 relative error 3.295328898017605e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4799999999999478 y[1] (closed_form) 0.0384800000000025 y[1] (numeric) 0.03848000000000117 absolute error 1.3253287356462806e-15 relative error 3.444201495962044e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4899999999999467 y[1] (closed_form) 0.03799500000000261 y[1] (numeric) 0.03799500000000123 absolute error 1.3808398868775384e-15 relative error 3.63426736906815e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.4999999999999456 y[1] (closed_form) 0.03750000000000271 y[1] (numeric) 0.03750000000000128 absolute error 1.429412144204889e-15 relative error 3.811765717879428e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5099999999999445 y[1] (closed_form) 0.03699500000000283 y[1] (numeric) 0.03699500000000134 absolute error 1.4918621893400541e-15 relative error 4.032604917799541e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5199999999999434 y[1] (closed_form) 0.036480000000002955 y[1] (numeric) 0.03648000000000139 absolute error 1.5612511283791264e-15 relative error 4.279745417705592e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5299999999999423 y[1] (closed_form) 0.03595500000000307 y[1] (numeric) 0.03595500000000145 absolute error 1.6167622796103842e-15 relative error 4.496627116145866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5399999999999412 y[1] (closed_form) 0.035420000000003185 y[1] (numeric) 0.03542000000000151 absolute error 1.672273430841642e-15 relative error 4.721268861777221e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.54999999999994 y[1] (closed_form) 0.034875000000003306 y[1] (numeric) 0.03487500000000157 absolute error 1.734723475976807e-15 relative error 4.974117493839835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.559999999999939 y[1] (closed_form) 0.03432000000000342 y[1] (numeric) 0.03432000000000163 absolute error 1.790234627208065e-15 relative error 5.216301361328341e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.569999999999938 y[1] (closed_form) 0.033755000000003546 y[1] (numeric) 0.033755000000001686 absolute error 1.8596235662471372e-15 relative error 5.509179577090629e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5799999999999368 y[1] (closed_form) 0.033180000000003665 y[1] (numeric) 0.03318000000000175 absolute error 1.915134717478395e-15 relative error 5.771955146106641e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5899999999999357 y[1] (closed_form) 0.03259500000000379 y[1] (numeric) 0.03259500000000181 absolute error 1.97758476261356e-15 relative error 6.067141471432214e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.5999999999999346 y[1] (closed_form) 0.03200000000000394 y[1] (numeric) 0.032000000000001874 absolute error 2.067790383364354e-15 relative error 6.461844948012811e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6099999999999335 y[1] (closed_form) 0.03139500000000406 y[1] (numeric) 0.03139500000000194 absolute error 2.1163626406917047e-15 relative error 6.741081830518972e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6199999999999324 y[1] (closed_form) 0.030780000000004193 y[1] (numeric) 0.030780000000002007 absolute error 2.185751579730777e-15 relative error 7.101207211599997e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6299999999999313 y[1] (closed_form) 0.030155000000004345 y[1] (numeric) 0.030155000000002076 absolute error 2.2690183065776637e-15 relative error 7.524517680574819e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6399999999999302 y[1] (closed_form) 0.02952000000000446 y[1] (numeric) 0.029520000000002145 absolute error 2.3141211169530607e-15 relative error 7.839163675314062e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.649999999999929 y[1] (closed_form) 0.02887500000000462 y[1] (numeric) 0.02887500000000222 absolute error 2.400857290751901e-15 relative error 8.314657283987937e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.659999999999928 y[1] (closed_form) 0.02822000000000477 y[1] (numeric) 0.028220000000002292 absolute error 2.4771851236948805e-15 relative error 8.778118794098022e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6699999999999269 y[1] (closed_form) 0.02755500000000491 y[1] (numeric) 0.027555000000002362 absolute error 2.546574062733953e-15 relative error 9.241785747535834e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6799999999999258 y[1] (closed_form) 0.02688000000000504 y[1] (numeric) 0.026880000000002433 absolute error 2.6055546609171643e-15 relative error 9.693283708767395e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6899999999999247 y[1] (closed_form) 0.026195000000005214 y[1] (numeric) 0.026195000000002508 absolute error 2.706168622523819e-15 relative error 1.0330859410281658e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.6999999999999236 y[1] (closed_form) 0.02550000000000535 y[1] (numeric) 0.02550000000000258 absolute error 2.7720881146109377e-15 relative error 1.0870933782785709e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7099999999999225 y[1] (closed_form) 0.024795000000005507 y[1] (numeric) 0.024795000000002655 absolute error 2.851885394505871e-15 relative error 1.150185680381221e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7199999999999214 y[1] (closed_form) 0.024080000000005652 y[1] (numeric) 0.024080000000002735 absolute error 2.9178048865929895e-15 relative error 1.2117129927708906e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7299999999999203 y[1] (closed_form) 0.023355000000005816 y[1] (numeric) 0.02335500000000281 absolute error 3.00454106039183e-15 relative error 1.2864658789942546e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7399999999999192 y[1] (closed_form) 0.022620000000005996 y[1] (numeric) 0.02262000000000289 absolute error 3.1051550219984847e-15 relative error 1.3727475782483031e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.749999999999918 y[1] (closed_form) 0.02187500000000614 y[1] (numeric) 0.021875000000002975 absolute error 3.164135620181696e-15 relative error 1.4464619977969409e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.759999999999917 y[1] (closed_form) 0.0211200000000063 y[1] (numeric) 0.021120000000003056 absolute error 3.2439329000766293e-15 relative error 1.5359530776873397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7699999999999159 y[1] (closed_form) 0.02035500000000648 y[1] (numeric) 0.02035500000000314 absolute error 3.337607967779377e-15 relative error 1.639699320942429e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7799999999999148 y[1] (closed_form) 0.019580000000006648 y[1] (numeric) 0.01958000000000323 absolute error 3.41740524767431e-15 relative error 1.7453550805276556e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7899999999999137 y[1] (closed_form) 0.018795000000006834 y[1] (numeric) 0.018795000000003316 absolute error 3.5180192092809648e-15 relative error 1.8717846285074145e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.7999999999999126 y[1] (closed_form) 0.01800000000000701 y[1] (numeric) 0.0180000000000034 absolute error 3.611694276983712e-15 relative error 2.0064968205457255e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8099999999999115 y[1] (closed_form) 0.017195000000007177 y[1] (numeric) 0.017195000000003485 absolute error 3.6914915568786455e-15 relative error 2.1468401028654288e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8199999999999104 y[1] (closed_form) 0.01638000000000736 y[1] (numeric) 0.016380000000003572 absolute error 3.788636071533347e-15 relative error 2.3129646346347034e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8299999999999093 y[1] (closed_form) 0.015555000000007535 y[1] (numeric) 0.01555500000000366 absolute error 3.875372245332187e-15 relative error 2.4913997077019027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8399999999999082 y[1] (closed_form) 0.014720000000007727 y[1] (numeric) 0.014720000000003753 absolute error 3.974251483462865e-15 relative error 2.6998991056119422e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.849999999999907 y[1] (closed_form) 0.013875000000007909 y[1] (numeric) 0.013875000000003846 absolute error 4.062722380737682e-15 relative error 2.9280882023317956e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.859999999999906 y[1] (closed_form) 0.01302000000000808 y[1] (numeric) 0.013020000000003936 absolute error 4.144254384108592e-15 relative error 3.1829910784224427e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8699999999999048 y[1] (closed_form) 0.01215500000000827 y[1] (numeric) 0.012155000000004029 absolute error 4.241398898763293e-15 relative error 3.489427312842787e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8799999999999037 y[1] (closed_form) 0.011280000000008478 y[1] (numeric) 0.011280000000004122 absolute error 4.355890648177763e-15 relative error 3.861605184551852e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8899999999999026 y[1] (closed_form) 0.010395000000008675 y[1] (numeric) 0.010395000000004217 absolute error 4.458239333260394e-15 relative error 4.2888305274234475e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.8999999999999015 y[1] (closed_form) 0.009500000000008862 y[1] (numeric) 0.009500000000004314 absolute error 4.548444954011188e-15 relative error 4.787836793691521e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9099999999999004 y[1] (closed_form) 0.008595000000009068 y[1] (numeric) 0.008595000000004412 absolute error 4.65599780952175e-15 relative error 5.4171004182860246e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9199999999998993 y[1] (closed_form) 0.007680000000009263 y[1] (numeric) 0.007680000000004512 absolute error 4.750540238962486e-15 relative error 6.185599269474943e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9299999999998982 y[1] (closed_form) 0.006755000000009476 y[1] (numeric) 0.006755000000004613 absolute error 4.86242990316299e-15 relative error 7.198267806300769e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9399999999998971 y[1] (closed_form) 0.0058200000000096785 y[1] (numeric) 0.005820000000004716 absolute error 4.962176503031657e-15 relative error 8.526076465675952e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 1.949999999999896 y[1] (closed_form) 0.0048750000000098714 y[1] (numeric) 0.004875000000004818 absolute error 5.053249485520439e-15 relative error 1.0365639970277347e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.959999999999895 y[1] (closed_form) 0.003920000000010082 y[1] (numeric) 0.003920000000004921 absolute error 5.160802341031001e-15 relative error 1.3165312094432978e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9699999999998938 y[1] (closed_form) 0.0029550000000103105 y[1] (numeric) 0.002955000000005026 absolute error 5.284401388694349e-15 relative error 1.7882915020899866e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9799999999998927 y[1] (closed_form) 0.001980000000010501 y[1] (numeric) 0.001980000000005132 absolute error 5.368969158148218e-15 relative error 2.711600584908961e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9899999999998916 y[1] (closed_form) 0.0009950000000107373 y[1] (numeric) 0.0009950000000052395 absolute error 5.497772376239496e-15 relative error 5.525399373045395e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 1.9999999999998905 y[1] (closed_form) 1.0935696792557792e-14 y[1] (numeric) 5.347949188529155e-15 absolute error 5.587747604028637e-15 relative error 51.09640208597716% Desired digits 8 Estimated correct digits 0 Correct digits 2 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0099999999998897 y[1] (closed_form) -0.0010049999999888481 y[1] (numeric) -0.0010049999999945426 absolute error 5.694446650328366e-15 relative error 5.666116070041347e-10% Desired digits 8 Estimated correct digits 10 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0199999999998886 y[1] (closed_form) -0.002019999999988642 y[1] (numeric) -0.002019999999994432 absolute error 5.790073281941588e-15 relative error 2.866372911868388e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0299999999998875 y[1] (closed_form) -0.003044999999988418 y[1] (numeric) -0.003044999999994321 absolute error 5.90283030788008e-15 relative error 1.9385321208218497e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0399999999998863 y[1] (closed_form) -0.004079999999988176 y[1] (numeric) -0.004079999999994209 absolute error 6.032500887709347e-15 relative error 1.4785541391487324e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0499999999998852 y[1] (closed_form) -0.005124999999987945 y[1] (numeric) -0.005124999999994094 absolute error 6.149594722337781e-15 relative error 1.1999209214345846e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.059999999999884 y[1] (closed_form) -0.006179999999987723 y[1] (numeric) -0.0061799999999939785 absolute error 6.255412854372366e-15 relative error 1.0122027272467303e-10% Desired digits 8 Estimated correct digits 11 Correct digits 12 h 0.001 TOP MAIN SOLVE Loop x[1] 2.069999999999883 y[1] (closed_form) -0.007244999999987484 y[1] (numeric) -0.007244999999993861 absolute error 6.377710859428731e-15 relative error 8.802913539599377e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.079999999999882 y[1] (closed_form) -0.008319999999987254 y[1] (numeric) -0.008319999999993744 absolute error 6.489600523629235e-15 relative error 7.800000629374011e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.089999999999881 y[1] (closed_form) -0.009404999999987007 y[1] (numeric) -0.009404999999993623 absolute error 6.616235337375542e-15 relative error 7.0348063130087e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.0999999999998797 y[1] (closed_form) -0.01049999999998677 y[1] (numeric) -0.0104999999999935 absolute error 6.7307270867900115e-15 relative error 6.410216273141421e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1099999999998786 y[1] (closed_form) -0.011604999999986543 y[1] (numeric) -0.011604999999993383 absolute error 6.84001466577655e-15 relative error 5.894023839538546e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1199999999998775 y[1] (closed_form) -0.012719999999986298 y[1] (numeric) -0.012719999999993263 absolute error 6.9649147560468805e-15 relative error 5.4755619151370935e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1299999999998764 y[1] (closed_form) -0.013844999999986035 y[1] (numeric) -0.013844999999993142 absolute error 7.107162081076979e-15 relative error 5.1333781734085574e-11% Desired digits 8 Estimated correct digits 11 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1399999999998753 y[1] (closed_form) -0.014979999999985782 y[1] (numeric) -0.01497999999999302 absolute error 7.237266341775239e-15 relative error 4.8312859424446646e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1499999999998742 y[1] (closed_form) -0.01612499999998554 y[1] (numeric) -0.01612499999999289 absolute error 7.351758091189708e-15 relative error 4.559229823997706e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.159999999999873 y[1] (closed_form) -0.01727999999998528 y[1] (numeric) -0.017279999999992763 absolute error 7.483597075363946e-15 relative error 4.3307853445430096e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.169999999999872 y[1] (closed_form) -0.01844499999998503 y[1] (numeric) -0.01844499999999264 absolute error 7.61196661258623e-15 relative error 4.1268455476239677e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.179999999999871 y[1] (closed_form) -0.01961999999998476 y[1] (numeric) -0.019619999999992515 absolute error 7.754213937616328e-15 relative error 3.95219874496552e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.18999999999987 y[1] (closed_form) -0.020804999999984503 y[1] (numeric) -0.020804999999992385 absolute error 7.882583474838611e-15 relative error 3.7887928261689415e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.1999999999998687 y[1] (closed_form) -0.021999999999984254 y[1] (numeric) -0.02199999999999226 absolute error 8.004014118156988e-15 relative error 3.6381882355285074e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2099999999998676 y[1] (closed_form) -0.02320499999998399 y[1] (numeric) -0.023204999999992128 absolute error 8.139322549283179e-15 relative error 3.5075727426368436e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2199999999998665 y[1] (closed_form) -0.024419999999983705 y[1] (numeric) -0.024419999999991993 absolute error 8.288508768217184e-15 relative error 3.394147734734937e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2299999999998654 y[1] (closed_form) -0.02564499999998346 y[1] (numeric) -0.025644999999991862 absolute error 8.403000517631654e-15 relative error 3.2766623192189796e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2399999999998643 y[1] (closed_form) -0.026879999999983195 y[1] (numeric) -0.026879999999991726 absolute error 8.531370054853937e-15 relative error 3.173872788266098e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.249999999999863 y[1] (closed_form) -0.028124999999982914 y[1] (numeric) -0.028124999999991587 absolute error 8.673617379884035e-15 relative error 3.083952846182864e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.259999999999862 y[1] (closed_form) -0.029379999999982642 y[1] (numeric) -0.02937999999999145 absolute error 8.808925811010226e-15 relative error 2.998272910488574e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.269999999999861 y[1] (closed_form) -0.030644999999982325 y[1] (numeric) -0.03064499999999131 absolute error 8.98586760555986e-15 relative error 2.932245914689197e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.27999999999986 y[1] (closed_form) -0.031919999999982074 y[1] (numeric) -0.03191999999999117 absolute error 9.096889908022376e-15 relative error 2.8499028533920693e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.289999999999859 y[1] (closed_form) -0.03320499999998178 y[1] (numeric) -0.033204999999991026 absolute error 9.249545573908335e-15 relative error 2.7855881866927906e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.2999999999998577 y[1] (closed_form) -0.03449999999998149 y[1] (numeric) -0.034499999999990885 absolute error 9.395262345890387e-15 relative error 2.7232644480856314e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3099999999998566 y[1] (closed_form) -0.03580499999998121 y[1] (numeric) -0.03580499999999075 absolute error 9.534040223968532e-15 relative error 2.6627678324182473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3199999999998555 y[1] (closed_form) -0.037119999999980946 y[1] (numeric) -0.037119999999990605 absolute error 9.658940314238862e-15 relative error 2.6020852139665464e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3299999999998544 y[1] (closed_form) -0.038444999999980634 y[1] (numeric) -0.03844499999999046 absolute error 9.825473767932635e-15 relative error 2.555722140184051e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3399999999998533 y[1] (closed_form) -0.03977999999998033 y[1] (numeric) -0.039779999999990316 absolute error 9.985068327722502e-15 relative error 2.5100724805750224e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.349999999999852 y[1] (closed_form) -0.04112499999998004 y[1] (numeric) -0.04112499999999017 absolute error 1.0130785099704553e-14 relative error 2.4634127902029108e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.359999999999851 y[1] (closed_form) -0.042479999999979756 y[1] (numeric) -0.04247999999999002 absolute error 1.026262408387879e-14 relative error 2.4158719594829757e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.36999999999985 y[1] (closed_form) -0.04384499999997943 y[1] (numeric) -0.04384499999998987 absolute error 1.0443035325380379e-14 relative error 2.3818075779188684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.379999999999849 y[1] (closed_form) -0.045219999999979166 y[1] (numeric) -0.04521999999998972 absolute error 1.0554057627842894e-14 relative error 2.333935786786324e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.389999999999848 y[1] (closed_form) -0.04660499999997886 y[1] (numeric) -0.046604999999989564 absolute error 1.0706713293728853e-14 relative error 2.297331465236286e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.3999999999998467 y[1] (closed_form) -0.04799999999997856 y[1] (numeric) -0.04799999999998941 absolute error 1.0852430065710905e-14 relative error 2.2609229303574484e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4099999999998456 y[1] (closed_form) -0.049404999999978216 y[1] (numeric) -0.049404999999989256 absolute error 1.10397802011164e-14 relative error 2.2345471513250214e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4199999999998445 y[1] (closed_form) -0.05081999999997794 y[1] (numeric) -0.0508199999999891 absolute error 1.116468029138673e-14 relative error 2.196906786971975e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4299999999998434 y[1] (closed_form) -0.052244999999977615 y[1] (numeric) -0.052244999999988946 absolute error 1.1331213745080504e-14 relative error 2.168860894838809e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4399999999998423 y[1] (closed_form) -0.0536799999999773 y[1] (numeric) -0.05367999999998879 absolute error 1.149080830487037e-14 relative error 2.1406125754238504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.449999999999841 y[1] (closed_form) -0.055124999999977 y[1] (numeric) -0.055124999999988634 absolute error 1.1636525076852422e-14 relative error 2.110934254305175e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.45999999999984 y[1] (closed_form) -0.05657999999997665 y[1] (numeric) -0.05657999999998848 absolute error 1.1830814106161824e-14 relative error 2.0909887073465372e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.469999999999839 y[1] (closed_form) -0.05804499999997631 y[1] (numeric) -0.05804499999998832 absolute error 1.2011225347663412e-14 relative error 2.0692954341749186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.479999999999838 y[1] (closed_form) -0.05951999999997598 y[1] (numeric) -0.05951999999998816 absolute error 1.2177758801357186e-14 relative error 2.0459944222718583e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.489999999999837 y[1] (closed_form) -0.06100499999997566 y[1] (numeric) -0.06100499999998799 absolute error 1.2330414467243145e-14 relative error 2.0212137476023382e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.4999999999998357 y[1] (closed_form) -0.06249999999997535 y[1] (numeric) -0.06249999999998783 absolute error 1.2476131239225197e-14 relative error 1.9961809982768186e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5099999999998346 y[1] (closed_form) -0.064004999999975 y[1] (numeric) -0.06400499999998766 absolute error 1.2656542480726785e-14 relative error 1.9774302758740298e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5199999999998335 y[1] (closed_form) -0.06551999999997471 y[1] (numeric) -0.06551999999998749 absolute error 1.2781442570997115e-14 relative error 1.9507696231688107e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5299999999998324 y[1] (closed_form) -0.06704499999997438 y[1] (numeric) -0.06704499999998732 absolute error 1.2947976024690888e-14 relative error 1.9312366357962318e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5399999999998313 y[1] (closed_form) -0.068579999999974 y[1] (numeric) -0.06857999999998715 absolute error 1.3156142841808105e-14 relative error 1.9183643688849656e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.54999999999983 y[1] (closed_form) -0.07012499999997368 y[1] (numeric) -0.07012499999998699 absolute error 1.3308798507694064e-14 relative error 1.897867879885784e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.559999999999829 y[1] (closed_form) -0.07167999999997332 y[1] (numeric) -0.07167999999998682 absolute error 1.3503087537003466e-14 relative error 1.883801274694265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.569999999999828 y[1] (closed_form) -0.07324499999997297 y[1] (numeric) -0.07324499999998665 absolute error 1.3683498778505054e-14 relative error 1.86818196170525e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.579999999999827 y[1] (closed_form) -0.07481999999997263 y[1] (numeric) -0.07481999999998648 absolute error 1.3850032232198828e-14 relative error 1.851113637022707e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5899999999998258 y[1] (closed_form) -0.0764049999999723 y[1] (numeric) -0.0764049999999863 absolute error 1.4002687898084787e-14 relative error 1.832692611490068e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.5999999999998247 y[1] (closed_form) -0.07799999999997193 y[1] (numeric) -0.07799999999998614 absolute error 1.4210854715202004e-14 relative error 1.8219044506675794e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6099999999998236 y[1] (closed_form) -0.07960499999997162 y[1] (numeric) -0.07960499999998595 absolute error 1.4335754805472334e-14 relative error 1.8008611023776703e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6199999999998225 y[1] (closed_form) -0.08121999999997126 y[1] (numeric) -0.08121999999998578 absolute error 1.4516166046973922e-14 relative error 1.787264965153787e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6299999999998214 y[1] (closed_form) -0.08284499999997086 y[1] (numeric) -0.0828449999999856 absolute error 1.4738210651898953e-14 relative error 1.7790102784602736e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6399999999998203 y[1] (closed_form) -0.08447999999997052 y[1] (numeric) -0.08447999999998541 absolute error 1.4890866317784912e-14 relative error 1.7626498955717458e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.649999999999819 y[1] (closed_form) -0.08612499999997014 y[1] (numeric) -0.08612499999998524 absolute error 1.509903313490213e-14 relative error 1.7531533393216098e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.659999999999818 y[1] (closed_form) -0.08777999999996983 y[1] (numeric) -0.08777999999998505 absolute error 1.522393322517246e-14 relative error 1.7343282325333437e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.669999999999817 y[1] (closed_form) -0.08944499999996941 y[1] (numeric) -0.08944499999998487 absolute error 1.5459855617905305e-14 relative error 1.7284203273420083e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.679999999999816 y[1] (closed_form) -0.09111999999996906 y[1] (numeric) -0.0911199999999847 absolute error 1.5640266859406893e-14 relative error 1.7164471970382138e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6899999999998148 y[1] (closed_form) -0.09280499999996872 y[1] (numeric) -0.09280499999998451 absolute error 1.5792922525292852e-14 relative error 1.701731859845717e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.6999999999998137 y[1] (closed_form) -0.09449999999996833 y[1] (numeric) -0.09449999999998433 absolute error 1.600108934241007e-14 relative error 1.6932369674513684e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7099999999998126 y[1] (closed_form) -0.09620499999996796 y[1] (numeric) -0.09620499999998414 absolute error 1.6181500583911657e-14 relative error 1.681981246704126e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7199999999998115 y[1] (closed_form) -0.09791999999996759 y[1] (numeric) -0.09791999999998395 absolute error 1.6361911825413245e-14 relative error 1.67094687759586e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7299999999998104 y[1] (closed_form) -0.09964499999996718 y[1] (numeric) -0.09964499999998376 absolute error 1.6583956430338276e-14 relative error 1.6643039219573223e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7399999999998093 y[1] (closed_form) -0.10137999999996683 y[1] (numeric) -0.10137999999998357 absolute error 1.6736612096224235e-14 relative error 1.6508790783418534e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.749999999999808 y[1] (closed_form) -0.10312499999996644 y[1] (numeric) -0.10312499999998338 absolute error 1.6944778913341452e-14 relative error 1.6431300764457664e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.759999999999807 y[1] (closed_form) -0.10487999999996606 y[1] (numeric) -0.10487999999998318 absolute error 1.712519015484304e-14 relative error 1.6328365898978435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.769999999999806 y[1] (closed_form) -0.10664499999996563 y[1] (numeric) -0.10664499999998299 absolute error 1.7361112547575885e-14 relative error 1.627934975627688e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.779999999999805 y[1] (closed_form) -0.10841999999996527 y[1] (numeric) -0.1084199999999828 absolute error 1.752764600126966e-14 relative error 1.6166432393723734e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7899999999998037 y[1] (closed_form) -0.11020499999996486 y[1] (numeric) -0.1102049999999826 absolute error 1.7735812818386876e-14 relative error 1.6093473815518834e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.7999999999998026 y[1] (closed_form) -0.11199999999996446 y[1] (numeric) -0.1119999999999824 absolute error 1.7943979635504093e-14 relative error 1.6021410388848022e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8099999999998015 y[1] (closed_form) -0.11380499999996407 y[1] (numeric) -0.11380499999998221 absolute error 1.8138268664813495e-14 relative error 1.593802439683601e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8199999999998004 y[1] (closed_form) -0.1156199999999637 y[1] (numeric) -0.11561999999998201 absolute error 1.8318679906315083e-14 relative error 1.5843867761910427e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8299999999997993 y[1] (closed_form) -0.11744499999996327 y[1] (numeric) -0.11744499999998181 absolute error 1.8540724511240114e-14 relative error 1.5786729542548352e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8399999999997982 y[1] (closed_form) -0.11927999999996286 y[1] (numeric) -0.11927999999998161 absolute error 1.874889132835733e-14 relative error 1.5718386425522442e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.849999999999797 y[1] (closed_form) -0.12112499999996246 y[1] (numeric) -0.12112499999998141 absolute error 1.8957058145474548e-14 relative error 1.565082199833265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.859999999999796 y[1] (closed_form) -0.12297999999996206 y[1] (numeric) -0.1229799999999812 absolute error 1.9137469386976136e-14 relative error 1.5561448517630542e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.869999999999795 y[1] (closed_form) -0.12484499999996163 y[1] (numeric) -0.124844999999981 absolute error 1.9373391779708982e-14 relative error 1.5517955688826093e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.879999999999794 y[1] (closed_form) -0.12671999999996125 y[1] (numeric) -0.1267199999999808 absolute error 1.9539925233402755e-14 relative error 1.5419764230909668e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8899999999997927 y[1] (closed_form) -0.12860499999996083 y[1] (numeric) -0.12860499999998057 absolute error 1.9734214262712158e-14 relative error 1.534482661072133e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.8999999999997916 y[1] (closed_form) -0.13049999999996043 y[1] (numeric) -0.13049999999998035 absolute error 1.992850329202156e-14 relative error 1.5270883748680156e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9099999999997905 y[1] (closed_form) -0.13240499999995997 y[1] (numeric) -0.13240499999998015 absolute error 2.017830347256222e-14 relative error 1.5239834955302535e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9199999999997894 y[1] (closed_form) -0.13431999999995958 y[1] (numeric) -0.13431999999997993 absolute error 2.0344836926255994e-14 relative error 1.514654327446554e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9299999999997883 y[1] (closed_form) -0.13624499999995915 y[1] (numeric) -0.13624499999997972 absolute error 2.0566881531181025e-14 relative error 1.5095512885747875e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9399999999997872 y[1] (closed_form) -0.13817999999995872 y[1] (numeric) -0.1381799999999795 absolute error 2.0788926136106056e-14 relative error 1.5044815556601725e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.949999999999786 y[1] (closed_form) -0.1401249999999583 y[1] (numeric) -0.1401249999999793 absolute error 2.098321516541546e-14 relative error 1.4974640617606922e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.959999999999785 y[1] (closed_form) -0.14207999999995785 y[1] (numeric) -0.14207999999997908 absolute error 2.123301534595612e-14 relative error 1.494440832345328e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.969999999999784 y[1] (closed_form) -0.14404499999995746 y[1] (numeric) -0.14404499999997886 absolute error 2.1399548799649892e-14 relative error 1.4856155229029966e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.979999999999783 y[1] (closed_form) -0.14601999999995702 y[1] (numeric) -0.14601999999997864 absolute error 2.1621593404574924e-14 relative error 1.4807282156267148e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9899999999997817 y[1] (closed_form) -0.1480049999999566 y[1] (numeric) -0.14800499999997843 absolute error 2.1843638009499955e-14 relative error 1.4758716266008827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 2.9999999999997806 y[1] (closed_form) -0.1499999999999561 y[1] (numeric) -0.1499999999999782 absolute error 2.2093438190040615e-14 relative error 1.472895879336472e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0099999999997795 y[1] (closed_form) -0.1520049999999557 y[1] (numeric) -0.152004999999978 absolute error 2.2287727219350018e-14 relative error 1.4662496114836034e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0199999999997784 y[1] (closed_form) -0.15401999999995525 y[1] (numeric) -0.15401999999997776 absolute error 2.250977182427505e-14 relative error 1.4614836920063362e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0299999999997773 y[1] (closed_form) -0.1560449999999548 y[1] (numeric) -0.15604499999997754 absolute error 2.273181642920008e-14 relative error 1.45674750419473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.039999999999776 y[1] (closed_form) -0.15807999999995437 y[1] (numeric) -0.15807999999997732 absolute error 2.295386103412511e-14 relative error 1.4520408042846494e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.049999999999775 y[1] (closed_form) -0.1601249999999539 y[1] (numeric) -0.1601249999999771 absolute error 2.3203661214665772e-14 relative error 1.4490967191052273e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.059999999999774 y[1] (closed_form) -0.16217999999995347 y[1] (numeric) -0.16217999999997687 absolute error 2.3397950243975174e-14 relative error 1.4427148997399116e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.069999999999773 y[1] (closed_form) -0.164244999999953 y[1] (numeric) -0.16424499999997666 absolute error 2.3647750424515834e-14 relative error 1.4397851030182105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.079999999999772 y[1] (closed_form) -0.16631999999995256 y[1] (numeric) -0.16631999999997643 absolute error 2.3869795029440866e-14 relative error 1.4351728613184027e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0899999999997707 y[1] (closed_form) -0.16840499999995207 y[1] (numeric) -0.1684049999999762 absolute error 2.4147350785597155e-14 relative error 1.4338856201184067e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.0999999999997696 y[1] (closed_form) -0.17049999999995163 y[1] (numeric) -0.17049999999997598 absolute error 2.4341639814906557e-14 relative error 1.4276621592324612e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1099999999997685 y[1] (closed_form) -0.17260499999995116 y[1] (numeric) -0.17260499999997575 absolute error 2.4591439995447217e-14 relative error 1.4247235013733191e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1199999999997674 y[1] (closed_form) -0.1747199999999507 y[1] (numeric) -0.17471999999997553 absolute error 2.4841240175987878e-14 relative error 1.4217742774722349e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1299999999997663 y[1] (closed_form) -0.17684499999995024 y[1] (numeric) -0.1768449999999753 absolute error 2.506328478091291e-14 relative error 1.4172458809081377e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.139999999999765 y[1] (closed_form) -0.17897999999994973 y[1] (numeric) -0.17897999999997505 absolute error 2.531308496145357e-14 relative error 1.4142968466566476e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.149999999999764 y[1] (closed_form) -0.1811249999999493 y[1] (numeric) -0.1811249999999748 absolute error 2.550737399076297e-14 relative error 1.408274616467639e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.159999999999763 y[1] (closed_form) -0.18327999999994882 y[1] (numeric) -0.18327999999997457 absolute error 2.5757174171303632e-14 relative error 1.4053456007917299e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.169999999999762 y[1] (closed_form) -0.18544499999994835 y[1] (numeric) -0.18544499999997432 absolute error 2.5979218776228663e-14 relative error 1.4009123339122597e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.179999999999761 y[1] (closed_form) -0.18761999999994783 y[1] (numeric) -0.18761999999997409 absolute error 2.6256774532384952e-14 relative error 1.3994656503780117e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1899999999997597 y[1] (closed_form) -0.18980499999994738 y[1] (numeric) -0.18980499999997386 absolute error 2.6478819137309983e-14 relative error 1.3950538256272134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.1999999999997586 y[1] (closed_form) -0.19199999999994688 y[1] (numeric) -0.1919999999999736 absolute error 2.6728619317850644e-14 relative error 1.3921155894717728e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2099999999997575 y[1] (closed_form) -0.19420499999994645 y[1] (numeric) -0.19420499999997337 absolute error 2.6922908347160046e-14 relative error 1.3863138614951968e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2199999999997564 y[1] (closed_form) -0.19641999999994597 y[1] (numeric) -0.19641999999997312 absolute error 2.7144952952085077e-14 relative error 1.3819851823690329e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2299999999997553 y[1] (closed_form) -0.19864499999994545 y[1] (numeric) -0.19864499999997287 absolute error 2.7422508708241367e-14 relative error 1.3804781750483978e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.239999999999754 y[1] (closed_form) -0.200879999999945 y[1] (numeric) -0.20087999999997264 absolute error 2.7644553313166398e-14 relative error 1.3761725066295285e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.249999999999753 y[1] (closed_form) -0.2031249999999445 y[1] (numeric) -0.20312499999997238 absolute error 2.7894353493707058e-14 relative error 1.3732604796905689e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.259999999999752 y[1] (closed_form) -0.20537999999994394 y[1] (numeric) -0.20537999999997214 absolute error 2.8199664825478976e-14 relative error 1.3730482435235501e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.269999999999751 y[1] (closed_form) -0.20764499999994346 y[1] (numeric) -0.20764499999997188 absolute error 2.842170943040401e-14 relative error 1.3687644504038983e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.27999999999975 y[1] (closed_form) -0.20991999999994293 y[1] (numeric) -0.20991999999997163 absolute error 2.8699265186560297e-14 relative error 1.3671524955491663e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2899999999997487 y[1] (closed_form) -0.21220499999994247 y[1] (numeric) -0.2122049999999714 absolute error 2.892130979148533e-14 relative error 1.3628948324258698e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.2999999999997476 y[1] (closed_form) -0.21449999999994196 y[1] (numeric) -0.21449999999997113 absolute error 2.917110997202599e-14 relative error 1.3599585068547265e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3099999999997465 y[1] (closed_form) -0.2168049999999414 y[1] (numeric) -0.21680499999997088 absolute error 2.9476421303797906e-14 relative error 1.3595821730959097e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3199999999997454 y[1] (closed_form) -0.21911999999994092 y[1] (numeric) -0.21911999999997064 absolute error 2.9726221484338566e-14 relative error 1.3566183590884712e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3299999999997443 y[1] (closed_form) -0.22144499999994038 y[1] (numeric) -0.2214449999999704 absolute error 3.0003777240494856e-14 relative error 1.3549087692430596e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.339999999999743 y[1] (closed_form) -0.22377999999993992 y[1] (numeric) -0.22377999999997014 absolute error 3.0225821845419887e-14 relative error 1.3506936207627134e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.349999999999742 y[1] (closed_form) -0.2261249999999394 y[1] (numeric) -0.22612499999996988 absolute error 3.047562202596055e-14 relative error 1.3477334229284119e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.359999999999741 y[1] (closed_form) -0.22847999999993884 y[1] (numeric) -0.22847999999996962 absolute error 3.0780933357732465e-14 relative error 1.3472047162876708e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.36999999999974 y[1] (closed_form) -0.23084499999993835 y[1] (numeric) -0.23084499999996938 absolute error 3.1030733538273125e-14 relative error 1.3442237665221865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3799999999997388 y[1] (closed_form) -0.2332199999999378 y[1] (numeric) -0.23321999999996912 absolute error 3.1308289294429414e-14 relative error 1.3424358671828215e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3899999999997377 y[1] (closed_form) -0.23560499999993734 y[1] (numeric) -0.23560499999996884 absolute error 3.1502578323738817e-14 relative error 1.337092944706063e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.3999999999997366 y[1] (closed_form) -0.23799999999993682 y[1] (numeric) -0.23799999999996857 absolute error 3.175237850427948e-14 relative error 1.3341335506003323e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4099999999997355 y[1] (closed_form) -0.24040499999993625 y[1] (numeric) -0.2404049999999683 absolute error 3.2057689836051395e-14 relative error 1.3334868174979678e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4199999999997344 y[1] (closed_form) -0.24281999999993575 y[1] (numeric) -0.24281999999996803 absolute error 3.2279734440976426e-14 relative error 1.329368851041305e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4299999999997333 y[1] (closed_form) -0.2452449999999352 y[1] (numeric) -0.24524499999996777 absolute error 3.2557290197132716e-14 relative error 1.3275414461922289e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.439999999999732 y[1] (closed_form) -0.24767999999993462 y[1] (numeric) -0.2476799999999675 absolute error 3.289035710452026e-14 relative error 1.3279375445949994e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.449999999999731 y[1] (closed_form) -0.2501249999999341 y[1] (numeric) -0.25012499999996723 absolute error 3.314015728506092e-14 relative error 1.3249438194930397e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.45999999999973 y[1] (closed_form) -0.2525799999999335 y[1] (numeric) -0.25257999999996705 absolute error 3.352873534367973e-14 relative error 1.3274501284222248e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.469999999999729 y[1] (closed_form) -0.255044999999933 y[1] (numeric) -0.2550449999999667 absolute error 3.36952687973735e-14 relative error 1.3211499459853104e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4799999999997278 y[1] (closed_form) -0.25751999999993247 y[1] (numeric) -0.25751999999996655 absolute error 3.4083846855992306e-14 relative error 1.3235417387387871e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4899999999997267 y[1] (closed_form) -0.260004999999932 y[1] (numeric) -0.2600049999999662 absolute error 3.419486915845482e-14 relative error 1.315161983748919e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.4999999999997256 y[1] (closed_form) -0.26249999999993134 y[1] (numeric) -0.26249999999996604 absolute error 3.469446951953614e-14 relative error 1.3216940769350558e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5099999999997245 y[1] (closed_form) -0.2650049999999309 y[1] (numeric) -0.26500499999996563 absolute error 3.47499806707674e-14 relative error 1.3112952838918685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5199999999997234 y[1] (closed_form) -0.26751999999993026 y[1] (numeric) -0.26751999999996545 absolute error 3.519406988061746e-14 relative error 1.315567803552132e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5299999999997222 y[1] (closed_form) -0.2700449999999297 y[1] (numeric) -0.27004499999996506 absolute error 3.5360603334311236e-14 relative error 1.3094337363891367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.539999999999721 y[1] (closed_form) -0.2725799999999292 y[1] (numeric) -0.27257999999996485 absolute error 3.5638159090467525e-14 relative error 1.3074385167832115e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.54999999999972 y[1] (closed_form) -0.27512499999992857 y[1] (numeric) -0.2751249999999645 absolute error 3.5915714846623814e-14 relative error 1.3054326159612227e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.559999999999719 y[1] (closed_form) -0.2776799999999281 y[1] (numeric) -0.2776799999999643 absolute error 3.6193270602780103e-14 relative error 1.3034165443240231e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.569999999999718 y[1] (closed_form) -0.28024499999992747 y[1] (numeric) -0.28024499999996394 absolute error 3.647082635893639e-14 relative error 1.301390795873105e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5799999999997167 y[1] (closed_form) -0.2828199999999269 y[1] (numeric) -0.2828199999999637 absolute error 3.680389326632394e-14 relative error 1.3013186219621473e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5899999999997156 y[1] (closed_form) -0.2854049999999263 y[1] (numeric) -0.2854049999999634 absolute error 3.708144902248023e-14 relative error 1.299257161664645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.5999999999997145 y[1] (closed_form) -0.28799999999992576 y[1] (numeric) -0.2879999999999631 absolute error 3.735900477863652e-14 relative error 1.2971876659252135e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6099999999997134 y[1] (closed_form) -0.2906049999999252 y[1] (numeric) -0.2906049999999628 absolute error 3.7636560534792807e-14 relative error 1.2951105636448959e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6199999999997123 y[1] (closed_form) -0.29321999999992465 y[1] (numeric) -0.2932199999999625 absolute error 3.785860513971784e-14 relative error 1.2911331130116488e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6299999999997112 y[1] (closed_form) -0.2958449999999241 y[1] (numeric) -0.2958449999999622 absolute error 3.813616089587413e-14 relative error 1.2890588279634239e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.63999999999971 y[1] (closed_form) -0.2984799999999235 y[1] (numeric) -0.29847999999996194 absolute error 3.8469227803261674e-14 relative error 1.2888377044784085e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.649999999999709 y[1] (closed_form) -0.3011249999999229 y[1] (numeric) -0.3011249999999617 absolute error 3.8746783559417963e-14 relative error 1.2867341987356706e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.659999999999708 y[1] (closed_form) -0.30377999999992233 y[1] (numeric) -0.30377999999996136 absolute error 3.902433931557425e-14 relative error 1.2846250350774978e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.669999999999707 y[1] (closed_form) -0.3064449999999217 y[1] (numeric) -0.3064449999999611 absolute error 3.941291737419306e-14 relative error 1.2861334782490538e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6799999999997057 y[1] (closed_form) -0.3091199999999211 y[1] (numeric) -0.30911999999996076 absolute error 3.963496197911809e-14 relative error 1.2821869170266628e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6899999999997046 y[1] (closed_form) -0.3118049999999205 y[1] (numeric) -0.31180499999996053 absolute error 4.0023540037736893e-14 relative error 1.2836080254565224e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.6999999999997035 y[1] (closed_form) -0.31449999999991995 y[1] (numeric) -0.31449999999996014 absolute error 4.0190073491430667e-14 relative error 1.277903767613383e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7099999999997024 y[1] (closed_form) -0.31720499999991936 y[1] (numeric) -0.31720499999995994 absolute error 4.057865155004947e-14 relative error 1.279256365759045e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7199999999997013 y[1] (closed_form) -0.3199199999999187 y[1] (numeric) -0.31991999999995957 absolute error 4.085620730620576e-14 relative error 1.2770757472560685e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7299999999997 y[1] (closed_form) -0.32264499999991814 y[1] (numeric) -0.3226449999999594 absolute error 4.1244785364824565e-14 relative error 1.2783333188127827e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.739999999999699 y[1] (closed_form) -0.3253799999999175 y[1] (numeric) -0.325379999999959 absolute error 4.1466829969749597e-14 relative error 1.27441237844244e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.749999999999698 y[1] (closed_form) -0.32812499999991696 y[1] (numeric) -0.3281249999999588 absolute error 4.18554080283684e-14 relative error 1.2755933875315504e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.759999999999697 y[1] (closed_form) -0.33087999999991635 y[1] (numeric) -0.3308799999999584 absolute error 4.2021941482062175e-14 relative error 1.2700054848305367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.769999999999696 y[1] (closed_form) -0.3336449999999157 y[1] (numeric) -0.33364499999995817 absolute error 4.246603069191224e-14 relative error 1.2727908613023714e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7799999999996947 y[1] (closed_form) -0.3364199999999151 y[1] (numeric) -0.33641999999995775 absolute error 4.263256414560601e-14 relative error 1.2672422610313526e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7899999999996936 y[1] (closed_form) -0.3392049999999145 y[1] (numeric) -0.3392049999999575 absolute error 4.3021142204224816e-14 relative error 1.268293279999872e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.7999999999996925 y[1] (closed_form) -0.34199999999991393 y[1] (numeric) -0.3419999999999571 absolute error 4.318767565791859e-14 relative error 1.2627975338575865e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8099999999996914 y[1] (closed_form) -0.3448049999999133 y[1] (numeric) -0.3448049999999569 absolute error 4.3576253716537394e-14 relative error 1.2637941362958295e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8199999999996903 y[1] (closed_form) -0.34761999999991267 y[1] (numeric) -0.3476199999999565 absolute error 4.3853809472693683e-14 relative error 1.2615444874490737e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.829999999999689 y[1] (closed_form) -0.3504449999999121 y[1] (numeric) -0.35044499999995626 absolute error 4.418687638008123e-14 relative error 1.2608790646204773e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.839999999999688 y[1] (closed_form) -0.35327999999991144 y[1] (numeric) -0.3532799999999559 absolute error 4.446443213623752e-14 relative error 1.2586173045813141e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.849999999999687 y[1] (closed_form) -0.35612499999991076 y[1] (numeric) -0.3561249999999556 absolute error 4.4853010194856324e-14 relative error 1.259473785745667e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.859999999999686 y[1] (closed_form) -0.35897999999991015 y[1] (numeric) -0.3589799999999553 absolute error 4.5130565951012613e-14 relative error 1.2571888670963259e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.869999999999685 y[1] (closed_form) -0.3618449999999095 y[1] (numeric) -0.36184499999995495 absolute error 4.546363285840016e-14 relative error 1.2564394383896844e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8799999999996837 y[1] (closed_form) -0.3647199999999089 y[1] (numeric) -0.36471999999995464 absolute error 4.574118861455645e-14 relative error 1.2541453338058751e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8899999999996826 y[1] (closed_form) -0.36760499999990826 y[1] (numeric) -0.36760499999995433 absolute error 4.6074255521943996e-14 relative error 1.2533631349398267e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.8999999999996815 y[1] (closed_form) -0.3704999999999077 y[1] (numeric) -0.37049999999995403 absolute error 4.6351811278100286e-14 relative error 1.251061033147418e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9099999999996804 y[1] (closed_form) -0.37340499999990695 y[1] (numeric) -0.3734049999999537 absolute error 4.674038933671909e-14 relative error 1.2517344260717113e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9199999999996793 y[1] (closed_form) -0.3763199999999064 y[1] (numeric) -0.3763199999999534 absolute error 4.701794509287538e-14 relative error 1.249413932102654e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.929999999999678 y[1] (closed_form) -0.3792449999999057 y[1] (numeric) -0.37924499999995304 absolute error 4.7351012000262926e-14 relative error 1.2485599546539758e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.939999999999677 y[1] (closed_form) -0.38217999999990504 y[1] (numeric) -0.3821799999999528 absolute error 4.773959005888173e-14 relative error 1.249138888976231e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.949999999999676 y[1] (closed_form) -0.38512499999990446 y[1] (numeric) -0.38512499999995237 absolute error 4.7906123512575505e-14 relative error 1.2439110292135641e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.959999999999675 y[1] (closed_form) -0.3880799999999037 y[1] (numeric) -0.38807999999995213 absolute error 4.8405723873656825e-14 relative error 1.247313024986313e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.969999999999674 y[1] (closed_form) -0.39104499999990316 y[1] (numeric) -0.39104499999995174 absolute error 4.85722573273506e-14 relative error 1.2421142663213346e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9799999999996727 y[1] (closed_form) -0.39401999999990245 y[1] (numeric) -0.3940199999999515 absolute error 4.907185768843192e-14 relative error 1.2454154024781501e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9899999999996716 y[1] (closed_form) -0.3970049999999018 y[1] (numeric) -0.3970049999999511 absolute error 4.929390229335695e-14 relative error 1.2416443695512435e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 3.9999999999996705 y[1] (closed_form) -0.3999999999999011 y[1] (numeric) -0.3999999999999509 absolute error 4.979350265443827e-14 relative error 1.2448375663612645e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.009999999999674 y[1] (closed_form) -0.4030049999999018 y[1] (numeric) -0.40300499999995043 absolute error 4.8627768478581856e-14 relative error 1.2066294085332367e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.019999999999677 y[1] (closed_form) -0.40601999999990246 y[1] (numeric) -0.40601999999995025 absolute error 4.779510121011299e-14 relative error 1.1771612533895983e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0299999999996805 y[1] (closed_form) -0.4090449999999032 y[1] (numeric) -0.4090449999999498 absolute error 4.6629367034256575e-14 relative error 1.1399569004453693e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.039999999999684 y[1] (closed_form) -0.41207999999990386 y[1] (numeric) -0.4120799999999496 absolute error 4.574118861455645e-14 relative error 1.1100074891906213e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.049999999999687 y[1] (closed_form) -0.4151249999999046 y[1] (numeric) -0.4151249999999492 absolute error 4.4575454438700035e-14 relative error 1.0737839069848908e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0599999999996905 y[1] (closed_form) -0.4181799999999053 y[1] (numeric) -0.418179999999949 absolute error 4.368727601899991e-14 relative error 1.044700273064465e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.069999999999694 y[1] (closed_form) -0.42124499999990606 y[1] (numeric) -0.4212449999999486 absolute error 4.2521541843143495e-14 relative error 1.0094254375281125e-11% Desired digits 8 Estimated correct digits 12 Correct digits 13 h 0.001 TOP MAIN SOLVE Loop x[1] 4.079999999999697 y[1] (closed_form) -0.42431999999990677 y[1] (numeric) -0.42431999999994835 absolute error 4.157785227221211e-14 relative error 9.798701987231629e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.0899999999997005 y[1] (closed_form) -0.42740499999990744 y[1] (numeric) -0.42740499999994797 absolute error 4.0523140398818214e-14 relative error 9.48120410356149e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.099999999999704 y[1] (closed_form) -0.4304999999999082 y[1] (numeric) -0.43049999999994776 absolute error 3.957945082788683e-14 relative error 9.193832944923409e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.109999999999707 y[1] (closed_form) -0.433604999999909 y[1] (numeric) -0.4336049999999474 absolute error 3.8413716652030416e-14 relative error 8.859149837303186e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.119999999999711 y[1] (closed_form) -0.43671999999990974 y[1] (numeric) -0.43671999999994715 absolute error 3.7414515929867775e-14 relative error 8.567163383833007e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.129999999999714 y[1] (closed_form) -0.43984499999991045 y[1] (numeric) -0.4398449999999468 absolute error 3.6359804056473877e-14 relative error 8.266503894890537e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.139999999999717 y[1] (closed_form) -0.4429799999999112 y[1] (numeric) -0.4429799999999466 absolute error 3.5360603334311236e-14 relative error 7.98243788304626e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.149999999999721 y[1] (closed_form) -0.44612499999991195 y[1] (numeric) -0.44612499999994626 absolute error 3.430589146091734e-14 relative error 7.689748716374134e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.159999999999724 y[1] (closed_form) -0.44927999999991275 y[1] (numeric) -0.449279999999946 absolute error 3.325117958752344e-14 relative error 7.400992607623285e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.169999999999727 y[1] (closed_form) -0.4524449999999135 y[1] (numeric) -0.4524449999999457 absolute error 3.219646771412954e-14 relative error 7.1161064248993126e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.179999999999731 y[1] (closed_form) -0.4556199999999143 y[1] (numeric) -0.45561999999994546 absolute error 3.114175584073564e-14 relative error 6.835028278113669e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.189999999999734 y[1] (closed_form) -0.4588049999999151 y[1] (numeric) -0.4588049999999452 absolute error 3.008704396734174e-14 relative error 6.557697489640983e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.199999999999737 y[1] (closed_form) -0.4619999999999159 y[1] (numeric) -0.4619999999999449 absolute error 2.8976820942716586e-14 relative error 6.272039165091312e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.209999999999741 y[1] (closed_form) -0.4652049999999167 y[1] (numeric) -0.46520499999994464 absolute error 2.7922109069322687e-14 relative error 6.002108547699978e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.219999999999744 y[1] (closed_form) -0.46841999999991757 y[1] (numeric) -0.4684199999999444 absolute error 2.681188604469753e-14 relative error 5.723898647517666e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.229999999999747 y[1] (closed_form) -0.4716449999999184 y[1] (numeric) -0.47164499999994414 absolute error 2.5757174171303632e-14 relative error 5.461135848213824e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.239999999999751 y[1] (closed_form) -0.47487999999991926 y[1] (numeric) -0.47487999999994385 absolute error 2.4591439995447217e-14 relative error 5.178453503085284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.249999999999754 y[1] (closed_form) -0.4781249999999201 y[1] (numeric) -0.4781249999999436 absolute error 2.353672812205332e-14 relative error 4.922714378469491e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.259999999999757 y[1] (closed_form) -0.48137999999992087 y[1] (numeric) -0.48137999999994335 absolute error 2.248201624865942e-14 relative error 4.670326197320852e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.269999999999761 y[1] (closed_form) -0.4846449999999217 y[1] (numeric) -0.48464499999994315 absolute error 2.142730437526552e-14 relative error 4.4212370653300835e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.279999999999764 y[1] (closed_form) -0.48791999999992264 y[1] (numeric) -0.48791999999994284 absolute error 2.020605904817785e-14 relative error 4.1412647663922475e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.289999999999767 y[1] (closed_form) -0.4912049999999234 y[1] (numeric) -0.49120499999994266 absolute error 1.9262369477246466e-14 relative error 3.9214522403577875e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.299999999999771 y[1] (closed_form) -0.49449999999992433 y[1] (numeric) -0.4944999999999424 absolute error 1.8041124150158794e-14 relative error 3.6483567543299405e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.309999999999774 y[1] (closed_form) -0.4978049999999252 y[1] (numeric) -0.4978049999999422 absolute error 1.6986412276764895e-14 relative error 3.4122622867925085e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.319999999999777 y[1] (closed_form) -0.5011199999999261 y[1] (numeric) -0.5011199999999421 absolute error 1.5987211554602254e-14 relative error 3.190296047773909e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.329999999999781 y[1] (closed_form) -0.504444999999927 y[1] (numeric) -0.5044449999999417 absolute error 1.4765966227514582e-14 relative error 2.9271706979981405e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.339999999999784 y[1] (closed_form) -0.5077799999999278 y[1] (numeric) -0.5077799999999416 absolute error 1.3766765505351941e-14 relative error 2.711167337302355e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.349999999999787 y[1] (closed_form) -0.5111249999999288 y[1] (numeric) -0.5111249999999413 absolute error 1.2545520178264269e-14 relative error 2.4544915976064597e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.359999999999791 y[1] (closed_form) -0.5144799999999297 y[1] (numeric) -0.5144799999999412 absolute error 1.1546319456101628e-14 relative error 2.2442698367484075e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.369999999999794 y[1] (closed_form) -0.5178449999999306 y[1] (numeric) -0.5178449999999409 absolute error 1.0325074129013956e-14 relative error 1.993854170459373e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.379999999999797 y[1] (closed_form) -0.5212199999999315 y[1] (numeric) -0.5212199999999408 absolute error 9.325873406851315e-15 relative error 1.7892393628127357e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.389999999999801 y[1] (closed_form) -0.5246049999999325 y[1] (numeric) -0.5246049999999405 absolute error 7.993605777301127e-15 relative error 1.5237380080826825e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.399999999999804 y[1] (closed_form) -0.5279999999999334 y[1] (numeric) -0.5279999999999404 absolute error 6.994405055138486e-15 relative error 1.3246979271097288e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.409999999999807 y[1] (closed_form) -0.5314049999999343 y[1] (numeric) -0.5314049999999401 absolute error 5.773159728050814e-15 relative error 1.0863954475497084e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.419999999999811 y[1] (closed_form) -0.5348199999999352 y[1] (numeric) -0.53481999999994 absolute error 4.773959005888173e-15 relative error 8.92629109960127e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.429999999999814 y[1] (closed_form) -0.5382449999999362 y[1] (numeric) -0.5382449999999397 absolute error 3.4416913763379853e-15 relative error 6.39428397168277e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.439999999999817 y[1] (closed_form) -0.5416799999999372 y[1] (numeric) -0.5416799999999397 absolute error 2.4424906541753444e-15 relative error 4.5091025221083066e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.449999999999821 y[1] (closed_form) -0.5451249999999381 y[1] (numeric) -0.5451249999999394 absolute error 1.2212453270876722e-15 relative error 2.2403032828944018e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.459999999999824 y[1] (closed_form) -0.5485799999999391 y[1] (numeric) -0.5485799999999392 absolute error 1.1102230246251565e-16 relative error 2.0238124332372303e-14% Desired digits 8 Estimated correct digits 12 Correct digits 16 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4699999999998274 y[1] (closed_form) -0.5520449999999402 y[1] (numeric) -0.552044999999939 absolute error 1.2212453270876722e-15 relative error 2.2122206107976786e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.479999999999831 y[1] (closed_form) -0.5555199999999412 y[1] (numeric) -0.555519999999939 absolute error 2.220446049250313e-15 relative error 3.997058700407813e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.489999999999834 y[1] (closed_form) -0.559004999999942 y[1] (numeric) -0.5590049999999387 absolute error 3.3306690738754696e-15 relative error 5.958209808276876e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.4999999999998375 y[1] (closed_form) -0.5624999999999432 y[1] (numeric) -0.5624999999999386 absolute error 4.551914400963142e-15 relative error 8.092292268379736e-13% Desired digits 8 Estimated correct digits 12 Correct digits 15 h 0.001 TOP MAIN SOLVE Loop x[1] 4.509999999999841 y[1] (closed_form) -0.5660049999999441 y[1] (numeric) -0.5660049999999384 absolute error 5.773159728050814e-15 relative error 1.019983874356478e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.519999999999844 y[1] (closed_form) -0.5695199999999452 y[1] (numeric) -0.5695199999999383 absolute error 6.8833827526759706e-15 relative error 1.208628801916813e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5299999999998475 y[1] (closed_form) -0.5730449999999461 y[1] (numeric) -0.5730449999999381 absolute error 7.993605777301127e-15 relative error 1.3949350883965272e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.539999999999851 y[1] (closed_form) -0.5765799999999472 y[1] (numeric) -0.5765799999999379 absolute error 9.325873406851315e-15 relative error 1.6174465654119409e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.549999999999854 y[1] (closed_form) -0.5801249999999483 y[1] (numeric) -0.5801249999999377 absolute error 1.0547118733938987e-14 relative error 1.8180769203085417e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5599999999998575 y[1] (closed_form) -0.5836799999999494 y[1] (numeric) -0.5836799999999377 absolute error 1.1657341758564144e-14 relative error 1.9972145282629447e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.569999999999861 y[1] (closed_form) -0.5872449999999503 y[1] (numeric) -0.5872449999999375 absolute error 1.27675647831893e-14 relative error 2.174146188250284e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.579999999999864 y[1] (closed_form) -0.5908199999999513 y[1] (numeric) -0.5908199999999374 absolute error 1.3877787807814457e-14 relative error 2.3489028482136015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.5899999999998675 y[1] (closed_form) -0.5944049999999523 y[1] (numeric) -0.5944049999999372 absolute error 1.509903313490213e-14 relative error 2.5401928205353822e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.599999999999871 y[1] (closed_form) -0.5979999999999535 y[1] (numeric) -0.5979999999999371 absolute error 1.63202784619898e-14 relative error 2.7291435555169015e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.609999999999874 y[1] (closed_form) -0.6016049999999546 y[1] (numeric) -0.601604999999937 absolute error 1.765254609153999e-14 relative error 2.9342419181259e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.6199999999998775 y[1] (closed_form) -0.6052199999999557 y[1] (numeric) -0.6052199999999368 absolute error 1.887379141862766e-14 relative error 3.1185009448843466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.629999999999881 y[1] (closed_form) -0.6088449999999568 y[1] (numeric) -0.6088449999999367 absolute error 2.0095036745715333e-14 relative error 3.300517659784799e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.639999999999884 y[1] (closed_form) -0.612479999999958 y[1] (numeric) -0.6124799999999366 absolute error 2.1316282072803006e-14 relative error 3.4803229612076264e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.649999999999888 y[1] (closed_form) -0.616124999999959 y[1] (numeric) -0.6161249999999365 absolute error 2.2426505097428162e-14 relative error 3.639927790209723e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.659999999999891 y[1] (closed_form) -0.61977999999996 y[1] (numeric) -0.6197799999999364 absolute error 2.3647750424515834e-14 relative error 3.815507183922901e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.669999999999894 y[1] (closed_form) -0.6234449999999612 y[1] (numeric) -0.6234449999999363 absolute error 2.4868995751603507e-14 relative error 3.988963862346327e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.679999999999898 y[1] (closed_form) -0.6271199999999624 y[1] (numeric) -0.6271199999999362 absolute error 2.6201263381153694e-14 relative error 4.178030262335002e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.689999999999901 y[1] (closed_form) -0.6308049999999634 y[1] (numeric) -0.6308049999999361 absolute error 2.731148640577885e-14 relative error 4.329624274661811e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.699999999999904 y[1] (closed_form) -0.6344999999999645 y[1] (numeric) -0.6344999999999359 absolute error 2.864375403532904e-14 relative error 4.514382038665191e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.709999999999908 y[1] (closed_form) -0.6382049999999657 y[1] (numeric) -0.6382049999999359 absolute error 2.986499936241671e-14 relative error 4.679530771839505e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.719999999999911 y[1] (closed_form) -0.641919999999967 y[1] (numeric) -0.6419199999999358 absolute error 3.11972669919669e-14 relative error 4.85999298852949e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.729999999999914 y[1] (closed_form) -0.645644999999968 y[1] (numeric) -0.6456449999999357 absolute error 3.2307490016592055e-14 relative error 5.0039092715956374e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.739999999999918 y[1] (closed_form) -0.6493799999999692 y[1] (numeric) -0.6493799999999356 absolute error 3.3639757646142243e-14 relative error 5.180288528464665e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.749999999999921 y[1] (closed_form) -0.6531249999999704 y[1] (numeric) -0.6531249999999356 absolute error 3.4861002973229915e-14 relative error 5.3375698332220466e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.759999999999924 y[1] (closed_form) -0.6568799999999715 y[1] (numeric) -0.6568799999999354 absolute error 3.608224830031759e-14 relative error 5.4929741049079216e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.769999999999928 y[1] (closed_form) -0.6606449999999726 y[1] (numeric) -0.6606449999999354 absolute error 3.7192471324942744e-14 relative error 5.629721155074856e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.779999999999931 y[1] (closed_form) -0.6644199999999738 y[1] (numeric) -0.6644199999999353 absolute error 3.852473895449293e-14 relative error 5.798250948871866e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.789999999999934 y[1] (closed_form) -0.6682049999999751 y[1] (numeric) -0.6682049999999353 absolute error 3.9745984281580604e-14 relative error 5.948172234805499e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.799999999999938 y[1] (closed_form) -0.6719999999999764 y[1] (numeric) -0.6719999999999352 absolute error 4.118927421359331e-14 relative error 6.1293562817849335e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.809999999999941 y[1] (closed_form) -0.6758049999999776 y[1] (numeric) -0.6758049999999353 absolute error 4.2299497238218464e-14 relative error 6.259127594235004e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.819999999999944 y[1] (closed_form) -0.6796199999999788 y[1] (numeric) -0.679619999999935 absolute error 4.374278717023117e-14 relative error 6.4363596083447414e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.829999999999948 y[1] (closed_form) -0.6834449999999799 y[1] (numeric) -0.6834449999999351 absolute error 4.474198789239381e-14 relative error 6.546538184110664e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.839999999999951 y[1] (closed_form) -0.6872799999999812 y[1] (numeric) -0.6872799999999349 absolute error 4.629630012686903e-14 relative error 6.736162863297389e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.849999999999954 y[1] (closed_form) -0.6911249999999824 y[1] (numeric) -0.691124999999935 absolute error 4.7406523151494184e-14 relative error 6.8593269164760915e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.859999999999958 y[1] (closed_form) -0.6949799999999837 y[1] (numeric) -0.6949799999999349 absolute error 4.884981308350689e-14 relative error 7.028952355968234e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.869999999999961 y[1] (closed_form) -0.6988449999999848 y[1] (numeric) -0.698844999999935 absolute error 4.984901380566953e-14 relative error 7.1330572309554495e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.879999999999964 y[1] (closed_form) -0.7027199999999862 y[1] (numeric) -0.7027199999999348 absolute error 5.140332604014475e-14 relative error 7.314908646423292e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.889999999999968 y[1] (closed_form) -0.7066049999999875 y[1] (numeric) -0.7066049999999349 absolute error 5.262457136723242e-14 relative error 7.447523208473384e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.899999999999971 y[1] (closed_form) -0.7104999999999888 y[1] (numeric) -0.7104999999999347 absolute error 5.4067861299245124e-14 relative error 7.609832695178885e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.909999999999974 y[1] (closed_form) -0.71440499999999 y[1] (numeric) -0.7144049999999348 absolute error 5.517808432387028e-14 relative error 7.723641957135106e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.919999999999978 y[1] (closed_form) -0.7183199999999912 y[1] (numeric) -0.7183199999999347 absolute error 5.651035195342047e-14 relative error 7.867016365049164e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.929999999999981 y[1] (closed_form) -0.7222449999999925 y[1] (numeric) -0.7222449999999347 absolute error 5.773159728050814e-14 relative error 7.993353679223635e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.939999999999984 y[1] (closed_form) -0.7261799999999938 y[1] (numeric) -0.7261799999999347 absolute error 5.917488721252084e-14 relative error 8.148790549522342e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.949999999999988 y[1] (closed_form) -0.7301249999999953 y[1] (numeric) -0.7301249999999347 absolute error 6.050715484207103e-14 relative error 8.287232301601976e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.959999999999991 y[1] (closed_form) -0.7340799999999965 y[1] (numeric) -0.7340799999999347 absolute error 6.183942247162122e-14 relative error 8.424071282642425e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.969999999999994 y[1] (closed_form) -0.7380449999999978 y[1] (numeric) -0.7380449999999347 absolute error 6.317169010117141e-14 relative error 8.559327696979397e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.979999999999998 y[1] (closed_form) -0.742019999999999 y[1] (numeric) -0.7420199999999346 absolute error 6.439293542825908e-14 relative error 8.678059274448016e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 TOP MAIN SOLVE Loop x[1] 4.990000000000001 y[1] (closed_form) -0.7460050000000005 y[1] (numeric) -0.7460049999999346 absolute error 6.583622536027178e-14 relative error 8.825172131590504e-12% Desired digits 8 Estimated correct digits 12 Correct digits 14 h 0.001 Finished! diff ( y , x , 1 ) = 0.3 - ( 0.1 * x + 0.2 ) ; Iterations 4900 Total Elapsed Time 1 Seconds Elapsed Time(since restart) 1 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.0204081632654%