(%i1) batch("temp/diffeq.diff0.max") read and interpret file: /home/dennis/src/mine/omni/testtar/omnisode0060dir/temp/diffeq.diff0.max (%i2) load("stringproc") (%i3) keepfloat:true (%i4) alias(convfloat,float) (%i5) alias(int_trunc,truncate) (%i6) alias(elapsed_time_seconds,elapsed_real_time) (%i7) alias(ln,log) (%i8) alias(arcsin,asin) (%i9) alias(arccos,acos) (%i10) alias(arctan,atan) (%i11) alias(float_abs,abs) (%i12) mode_declare(display_poles(),fixnum) (%i13) mode_declare(est_size_answer(),convfloat) (%i14) mode_declare(test_suggested_h(),convfloat) (%i15) mode_declare(reached_interval(),boolean) (%i16) mode_declare(display_alot([iter],fixnum),fixnum) (%i17) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum) (%i18) mode_declare(check_for_pole(),fixnum) (%i19) mode_declare(atomall(),fixnum) (%i20) mode_declare(log10([x],convfloat),convfloat) (%i21) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum) (%i22) mode_declare(omniout_timestr(secs_in,number),fixnum) (%i23) mode_declare(zero_ats_ar(ar,array([30],convfloat)),fixnum) (%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a], completearray([30],convfloat),[arr_b], completearray([30],convfloat),[jjj_ats],fixnum), convfloat) (%i25) mode_declare(att([mmm_att],fixnum,[arr_a], completearray([30],convfloat),[arr_b], completearray([30],convfloat),[jjj_att],fixnum), convfloat) (%i26) mode_declare(logitem_ditto([file],fixnum),fixnum) (%i27) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum) (%i28) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum) (%i29) mode_declare(logitem_number([file],fixnum,[x],number),fixnum) (%i30) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum) (%i31) mode_declare(logstart([file],fixnum),fixnum) (%i32) mode_declare(logend([file],fixnum),fixnum) (%i33) mode_declare(chk_data(),fixnum) (%i34) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat, [t2],convfloat,[clock_sec2],convfloat), convfloat) (%i35) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2], convfloat),convfloat) (%i36) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i37) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i38) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i39) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i40) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i41) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i42) mode_declare(neg([nnn],convfloat),convfloat) (%i43) mode_declare(factorial_2([nnn],fixnum),convfloat) (%i44) mode_declare(factorial_1([nnn],fixnum),convfloat) (%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),convfloat) (%i46) mode_declare(convfloat([mmm],fixnum),convfloat) (%i47) mode_declare(elaped_time_seconds(),convfloat) (%i48) mode_declare(Si([x],convfloat),convfloat) (%i49) mode_declare(Ci([x],convfloat),convfloat) (%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end], convfloat,[estimated_h], convfloat,[estimated_answer], convfloat),convfloat) (%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat) (%i52) mode_declare(main_prog(),fixnum) (%i53) define_variable(always,1,fixnum) (%i54) define_variable(info,2,fixnum) (%i55) define_variable(debugl,3,fixnum) (%i56) define_variable(debugmassive,4,fixnum) (%i57) define_variable(glob_iolevel,5,fixnum) (%i58) define_variable(glob_yes_pole,4,fixnum) (%i59) define_variable(glob_no_pole,3,fixnum) (%i60) define_variable(glob_not_given,0,fixnum) (%i61) define_variable(glob_no_sing_tests,4,fixnum) (%i62) define_variable(glob_ratio_test,1,fixnum) (%i63) define_variable(glob_three_term_test,2,fixnum) (%i64) define_variable(glob_six_term_test,3,fixnum) (%i65) define_variable(ats_max_terms,30,fixnum) (%i66) define_variable(glob_log_10,0.0,convfloat) (%i67) define_variable(max_unchanged,10,fixnum) (%i68) define_variable(glob__small,1.0E-51,convfloat) (%i69) define_variable(glob_small_float,1.0E-51,convfloat) (%i70) define_variable(glob_smallish_float,1.0E-61,convfloat) (%i71) define_variable(glob_large_float,1.0E+100,convfloat) (%i72) define_variable(glob_larger_float,1.1E+100,convfloat) (%i73) define_variable(glob__m2,-2.0,convfloat) (%i74) define_variable(glob__m1,-1.0,convfloat) (%i75) define_variable(glob__0,0.0,convfloat) (%i76) define_variable(glob__1,1.0,convfloat) (%i77) define_variable(glob__2,2.0,convfloat) (%i78) define_variable(glob__3,3.0,convfloat) (%i79) define_variable(glob__4,4.0,convfloat) (%i80) define_variable(glob__5,5.0,convfloat) (%i81) define_variable(glob__8,8.0,convfloat) (%i82) define_variable(glob__10,10.0,convfloat) (%i83) define_variable(glob__100,100.0,convfloat) (%i84) define_variable(glob__pi,0.0,convfloat) (%i85) define_variable(glob__0_5,0.5,convfloat) (%i86) define_variable(glob__0_8,0.8,convfloat) (%i87) define_variable(glob__m0_8,-0.8,convfloat) (%i88) define_variable(glob__0_25,0.25,convfloat) (%i89) define_variable(glob__0_125,0.125,convfloat) (%i90) define_variable(glob_prec,1.0E-16,convfloat) (%i91) define_variable(glob_check_sign,1.0,convfloat) (%i92) define_variable(glob_desired_digits_correct,8.0,convfloat) (%i93) define_variable(glob_max_estimated_step_error,0.0,convfloat) (%i94) define_variable(glob_ratio_of_radius,0.1,convfloat) (%i95) define_variable(glob_percent_done,0.0,convfloat) (%i96) define_variable(glob_total_exp_sec,0.1,convfloat) (%i97) define_variable(glob_optimal_expect_sec,0.1,convfloat) (%i98) define_variable(glob_estimated_size_answer,100.0,convfloat) (%i99) define_variable(glob_almost_1,0.999,convfloat) (%i100) define_variable(glob_clock_sec,0.0,convfloat) (%i101) define_variable(glob_clock_start_sec,0.0,convfloat) (%i102) define_variable(glob_disp_incr,0.1,convfloat) (%i103) define_variable(glob_h,0.1,convfloat) (%i104) define_variable(glob_diff_rc_fm,0.1,convfloat) (%i105) define_variable(glob_diff_rc_fmm1,0.1,convfloat) (%i106) define_variable(glob_diff_rc_fmm2,0.1,convfloat) (%i107) define_variable(glob_diff_ord_fm,0.1,convfloat) (%i108) define_variable(glob_diff_ord_fmm1,0.1,convfloat) (%i109) define_variable(glob_diff_ord_fmm2,0.1,convfloat) (%i110) define_variable(glob_six_term_ord_save,0.1,convfloat) (%i111) define_variable(glob_guess_error_rc,0.1,convfloat) (%i112) define_variable(glob_guess_error_ord,0.1,convfloat) (%i113) define_variable(glob_least_given_sing,9.9E+200,convfloat) (%i114) define_variable(glob_least_ratio_sing,9.9E+200,convfloat) (%i115) define_variable(glob_least_3_sing,9.9E+100,convfloat) (%i116) define_variable(glob_least_6_sing,9.9E+100,convfloat) (%i117) define_variable(glob_last_good_h,0.1,convfloat) (%i118) define_variable(glob_max_h,0.1,convfloat) (%i119) define_variable(glob_min_h,1.0E-6,convfloat) (%i120) define_variable(glob_display_interval,0.1,convfloat) (%i121) define_variable(glob_abserr,1.0E-11,convfloat) (%i122) define_variable(glob_relerr,1.0E-11,convfloat) (%i123) define_variable(glob_min_pole_est,1.0E+9,convfloat) (%i124) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat) (%i125) define_variable(glob_max_trunc_err,1.0E-11,convfloat) (%i126) define_variable(glob_max_hours,0.0,convfloat) (%i127) define_variable(glob_optimal_clock_start_sec,0.0,convfloat) (%i128) define_variable(glob_optimal_start,0.0,convfloat) (%i129) define_variable(glob_upper_ratio_limit,1.0001,convfloat) (%i130) define_variable(glob_lower_ratio_limit,0.9999,convfloat) (%i131) define_variable(glob_max_sec,10000.0,convfloat) (%i132) define_variable(glob_orig_start_sec,0.0,convfloat) (%i133) define_variable(glob_normmax,0.0,convfloat) (%i134) define_variable(glob_max_minutes,0.0,convfloat) (%i135) define_variable(glob_next_display,0.0,convfloat) (%i136) define_variable(glob_est_digits,1,fixnum) (%i137) define_variable(glob_subiter_method,3,fixnum) (%i138) define_variable(glob_html_log,true,boolean) (%i139) define_variable(glob_min_good_digits,99999,fixnum) (%i140) define_variable(glob_good_digits,0,fixnum) (%i141) define_variable(glob_min_apfp_est_good_digits,99999,fixnum) (%i142) define_variable(glob_apfp_est_good_digits,0,fixnum) (%i143) define_variable(glob_max_opt_iter,10,fixnum) (%i144) define_variable(glob_dump,false,boolean) (%i145) define_variable(glob_djd_debug,true,boolean) (%i146) define_variable(glob_display_flag,true,boolean) (%i147) define_variable(glob_djd_debug2,true,boolean) (%i148) define_variable(glob_h_reason,0,fixnum) (%i149) define_variable(glob_sec_in_minute,60,fixnum) (%i150) define_variable(glob_min_in_hour,60,fixnum) (%i151) define_variable(glob_hours_in_day,24,fixnum) (%i152) define_variable(glob_days_in_year,365,fixnum) (%i153) define_variable(glob_sec_in_hour,3600,fixnum) (%i154) define_variable(glob_sec_in_day,86400,fixnum) (%i155) define_variable(glob_sec_in_year,31536000,fixnum) (%i156) define_variable(glob_not_yet_finished,true,boolean) (%i157) define_variable(glob_initial_pass,true,boolean) (%i158) define_variable(glob_not_yet_start_msg,true,boolean) (%i159) define_variable(glob_reached_optimal_h,false,boolean) (%i160) define_variable(glob_optimal_done,false,boolean) (%i161) define_variable(glob_type_given_pole,0,fixnum) (%i162) define_variable(glob_optimize,false,boolean) (%i163) define_variable(glob_look_poles,false,boolean) (%i164) define_variable(glob_dump_closed_form,false,boolean) (%i165) define_variable(glob_max_iter,1000,fixnum) (%i166) define_variable(glob_no_eqs,0,fixnum) (%i167) define_variable(glob_unchanged_h_cnt,0,fixnum) (%i168) define_variable(glob_warned,false,boolean) (%i169) define_variable(glob_warned2,false,boolean) (%i170) define_variable(glob_start,0,fixnum) (%i171) define_variable(glob_iter,0,fixnum) (%i172) completearray(array_y_init,[30],convfloat) (%i173) completearray(array_norms,[30],convfloat) (%i174) completearray(array_fact_1,[30],convfloat) (%i175) completearray(array_1st_rel_error,[2],convfloat) (%i176) completearray(array_last_rel_error,[2],convfloat) (%i177) completearray(array_est_rel_error,[2],convfloat) (%i178) completearray(array_max_est_error,[2],convfloat) (%i179) completearray(array_type_pole,[2],convfloat) (%i180) completearray(array_type_real_pole,[2],convfloat) (%i181) completearray(array_type_complex_pole,[2],convfloat) (%i182) completearray(array_est_digits,[2],convfloat) (%i183) completearray(array_y,[30],convfloat) (%i184) completearray(array_x,[30],convfloat) (%i185) completearray(array_tmp0,[30],convfloat) (%i186) completearray(array_tmp1,[30],convfloat) (%i187) completearray(array_m1,[30],convfloat) (%i188) completearray(array_y_higher,[2,30],convfloat) (%i189) completearray(array_y_higher_work,[2,30],convfloat) (%i190) completearray(array_y_higher_work2,[2,30],convfloat) (%i191) completearray(array_y_set_initial,[2,30],convfloat) (%i192) completearray(array_given_rad_poles,[2,3],convfloat) (%i193) completearray(array_given_ord_poles,[2,3],convfloat) (%i194) completearray(array_rad_test_poles,[2,4],convfloat) (%i195) completearray(array_ord_test_poles,[2,4],convfloat) (%i196) completearray(array_fact_2,[30,30],convfloat) (%i197) omniout_str(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a~%",string(str)) (%i198) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a",string(str)) (%i199) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel then printf(true,"~a = ~a~%",string(label), string(str)) (%i200) omniout_float(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (if vallen = 4 then printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel) else printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel)) (%i201) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (printf(true,"~a = ~d ~a~%",prelabel,value, postlabel),newline()) (%i202) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen, postlabel):=if glob_iolevel >= iolevel then (sprint(prelabel,"[",elemnt,"]=",value, postlabel),newline()) (%i203) logitem_time(fd,secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp],convfloat]), secs:secs_in,printf(fd,"~%"), if secs >= 0 then (years_int :truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int :truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp, truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp, truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if truncate(years_int) > 0.1 then printf(fd, "~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(fd,"~d Seconds~%", sec_int)) else printf(fd," 0.0 Seconds~%"), printf(fd,"~%")),0) (%i204) omniout_timestr(secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp], convfloat]),secs:secs_in, if secs >= 0 then ( years_int:truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int:truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp,truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp,truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(true,"= ~d Seconds~%", sec_int)) else printf(true,"= 0.0 Seconds~%")),0) (%i205) zero_ats_ar(arr_a):=( block(mode_declare([iii],fixnum),iii:1, while iii <= ats_max_terms do (arr_a[iii]:glob__0,iii:1+iii)),0) (%i206) ats(mmm_ats,arr_a,arr_b,jjj_ats):=block( mode_declare([[iii_ats,lll_ats,ma_ats],fixnum,[ret_ats], convfloat]),ret_ats:glob__0, if jjj_ats <= mmm_ats then (ma_ats:1+mmm_ats,iii_ats:jjj_ats, while iii_ats <= mmm_ats do (lll_ats:ma_ats-iii_ats, if lll_ats <= ats_max_terms and iii_ats <= ats_max_terms then ret_ats :c(arr_a[iii_ats])*c(arr_b[lll_ats])+ret_ats, iii_ats:1+iii_ats)),ret_ats) (%i207) att(mmm_att,arr_aa,arr_bb,jjj_att):=block( mode_declare([[al_att,iii_att,lll_att,ma_att],convfloat,[ret_att], fixnum]),ret_att:glob__0, if jjj_att < mmm_att then (ma_att:2+mmm_att,iii_att:jjj_att, while iii_att < mmm_att and iii_att <= ats_max_terms do (lll_att:ma_att-iii_att,al_att:lll_att-1, if lll_att <= ats_max_terms and iii_att <= ats_max_terms then ret_att :c(arr_aa[iii_att])*c(arr_bb[lll_att]) *c(al_att) +ret_att,iii_att:1+iii_att), ret_att:ret_att/c(mmm_att)),ret_att) (%i208) logditto(file):=(printf(file,""),printf(file,"ditto"), printf(file,""),0) (%i209) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n), printf(file,""),0) (%i210) logitem_str(file,str):=(printf(file,""),printf(file,str), printf(file,""),0) (%i211) logitem_good_digits(file,rel_error):=( block(mode_declare([[good_digits],fixnum]), printf(file,""), printf(file,"~d",glob_min_good_digits), printf(file,"")),0) (%i212) log_revs(file,revs):=printf(file,revs) (%i213) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x), printf(file,""),0) (%i214) logitem_h_reason(file):=(printf(file,""), if glob_h_reason = 1 then printf(file,"Max H") elseif glob_h_reason = 2 then printf(file,"Display_interval") elseif glob_h_reason = 3 then printf(file,"Optimal") elseif glob_h_reason = 4 then printf(file,"Pole Accuracy") elseif glob_h_reason = 5 then printf(file,"Min H (Pole)") elseif glob_h_reason = 6 then printf(file,"Pole") elseif glob_h_reason = 7 then printf(file,"Opt Iter") else printf(file,"Impossible"), printf(file,""),0) (%i215) logstart(file):=(printf(file,""),0) (%i216) logend(file):=(printf(file,"~%"),0) (%i217) chk_data():=( block(mode_declare([[errflag],boolean]),errflag:false, if glob_max_iter < 2 then (omniout_str(always,"Illegal max_iter"), errflag:true),if errflag then quit()),0) (%i218) comp_expect_sec(t_end2,t_start2,t2,clock_sec2):=block( mode_declare([[ms2,rrr,sec_left,sub1,sub2], convfloat]),ms2:c(clock_sec2), sub1:c(t_end2-t_start2),sub2:c(t2-t_start2), if sub1 = glob__0 then sec_left:glob__0 else (if sub2 > glob__0 then (rrr:sub1/sub2, sec_left:rrr*c(ms2)-c(ms2)) else sec_left:glob__0),sec_left) (%i219) comp_percent(t_end2,t_start2,t2):=block( mode_declare([[rrr,sub1,sub2],convfloat]), sub1:t_end2-t_start2,sub2:t2-t_start2, if sub2 > glob_small_float then rrr:glob__100*sub2/sub1 else rrr:0.0,rrr) (%i220) comp_rad_from_ratio(term1,term2,last_no):=( if abs(term2) > glob__0 then ret:abs(term1*glob_h/term2) else ret:glob_larger_float,ret) (%i221) comp_ord_from_ratio(term1,term2,last_no):=( if abs(term2) > glob__0 then ret :abs(term2)*c(last_no) *log(abs(term1*glob_h/term2)) /log(c(last_no)) +glob__1 else ret:glob_larger_float,ret) (%i222) c(in_val):=(ret:in_val,ret) (%i223) comp_rad_from_three_terms(term1,term2,term3,last_no):=( temp:abs( term1*term3-term1*term3*c(last_no) +glob__m2*term2*term2 +term2*term2*c(last_no)), if abs(temp) > glob__0 then ret:abs(term2*glob_h*term1/temp) else ret:glob_larger_float,ret) (%i224) comp_ord_from_three_terms(term1,term2,term3,last_no):=( ret:abs( (-term1*term3*c(last_no*last_no) +term2*term2*c(last_no*last_no) +glob__4*term2*term2 -glob__4*term2*term2*c(last_no) -glob__3*term1*term3 +glob__4*term1*term3*c(last_no)) /(term1*term3-term1*term3*c(last_no) -glob__2*term2*term2 +term2*term2*c(last_no))), ret) (%i225) comp_rad_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):= ( if term5 # glob__0 and term4 # glob__0 and term3 # glob__0 and term2 # glob__0 and term1 # glob__0 then (rm0:term6/term5,rm1:term5/term4, rm2:term4/term3,rm3:term3/term2, rm4:term2/term1, nr1 :c(last_no-3)*rm2 -glob__2*c(last_no-2)*rm1 +c(last_no-1)*rm0, nr2 :c(last_no-4)*rm3 -glob__2*c(last_no-3)*rm2 +c(last_no-2)*rm1, dr1 :(-glob__1)/rm3+glob__2/rm2 +glob__m1/rm1, dr2 :(-glob__1)/rm4+glob__2/rm3 +glob__m1/rm2, ds1 :glob__5/rm3-glob__8/rm2 +glob__3/rm1, ds2 :glob__5/rm4-glob__8/rm3 +glob__3/rm2, if abs(nr1*dr2-nr2*dr1) = glob__0 or abs(dr1) = glob__0 then (rad_c:glob_larger_float, ord_no:glob_larger_float) else (if abs(nr1*dr2-nr2*dr1) > glob__0 then ( rcs :(dr1*dr2-ds2*dr1+ds1*dr2) /(nr1*dr2-nr2*dr1), ord_no :(rcs*nr1-ds1)/(glob__2*dr1) -c(last_no)/glob__2, if abs(rcs) # glob__0 then (if rcs > glob__0 then rad_c :sqrt(rcs) *abs(glob_h) else ( rad_c :glob_larger_float, ord_no :glob_larger_float)) else ( rad_c:glob_larger_float, ord_no:glob_larger_float)) else (rad_c:glob_larger_float, ord_no:glob_larger_float))) else (rad_c:glob_larger_float, ord_no:glob_larger_float), glob_six_term_ord_save:ord_no,rad_c) (%i226) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save (%i227) factorial_2(nnn):=block(mode_declare([[ret],convfloat]),ret:nnn!,ret) (%i228) factorial_1(nnn):=block(mode_declare([[ret],convfloat]), if nnn <= ats_max_terms then (if array_fact_1[nnn] = 0 then (ret:factorial_2(nnn), array_fact_1[nnn]:ret) else ret:array_fact_1[nnn]) else ret:factorial_2(nnn),ret) (%i229) factorial_1(in):=block(mode_declare([[ret],convfloat]),ret:in!,ret) (%i230) neg(in):=block(mode_declare([[ret],convfloat]),ret:-in,ret) (%i231) factorial_3(mmm,nnn):=block(mode_declare([[ret],convfloat]), if nnn <= ats_max_terms and mmm <= ats_max_terms then (if array_fact_2[mmm,nnn] = 0 then (ret:factorial_1(mmm)/factorial_1(nnn), array_fact_2[mmm,nnn]:ret) else ret:array_fact_2[mmm,nnn]) else ret:factorial_2(mmm)/factorial_2(nnn),ret) (%i232) log10(x):=log(x)/glob_log_10 (%i233) c(x):=x (%i234) expt(x,y):=if y = 0.0 then 1.0 elseif x <= 0.0 and y < 0.0 then print("expt error x = ",x,"y = ",y) else x^y (%i235) estimated_needed_step_error(x_start,x_end,estimated_h, estimated_answer):=block( [desired_abs_gbl_error,range, estimated_steps,step_error], omniout_float(always, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32,""), desired_abs_gbl_error :expt(glob__10, c(-glob_desired_digits_correct)) *c(abs(c(estimated_answer))), omniout_float(always,"estimated_h",32, estimated_h,32,""), omniout_float(always,"estimated_answer", 32,estimated_answer,32,""), omniout_float(always, "desired_abs_gbl_error",32, desired_abs_gbl_error,32, ""),range:x_end-x_start, omniout_float(always,"range",32,range,32, ""), estimated_steps:range/estimated_h, omniout_float(always,"estimated_steps",32, estimated_steps,32,""), step_error :c( abs(desired_abs_gbl_error) /sqrt(c(estimated_steps)) /c(ats_max_terms)), omniout_float(always,"step_error",32, step_error,32,""), step_error) (%i236) exact_soln_y(x):=block(exp(c(x))) (%o236) exact_soln_y(x) := block(exp(c(x))) (%i237) display_poles():=( block(mode_declare([[rad_given],convfloat]), if glob_type_given_pole = 1 or glob_type_given_pole = 2 then (rad_given :sqrt( array_given_rad_poles[1,2] *array_given_rad_poles[1,2] +(array_x[1] -array_given_rad_poles[1,1]) *(array_x[1] -array_given_rad_poles[1,1])), omniout_float(always, "Radius of convergence (given) for eq 1 ", 4,rad_given,4," "), omniout_float(always, "Order of pole (given) ", 4, array_given_ord_poles[ 1,1],4," "), if rad_given < glob_least_given_sing then glob_least_given_sing :rad_given) elseif glob_type_given_pole = 3 then omniout_str(always, "NO POLE (given) for Equation 1") elseif glob_type_given_pole = 5 then omniout_str(always, "SOME POLE (given) for Equation 1") else omniout_str(always, "NO info (given) for Equation 1"), if array_rad_test_poles[1,1] < glob_large_float then (omniout_float(always, "Radius of convergence (ratio test) for eq 1 ", 4, array_rad_test_poles[1,1], 4," "), if array_rad_test_poles[1,1] < glob_least_ratio_sing then glob_least_ratio_sing :array_rad_test_poles[1,1], omniout_float(always, "Order of pole (ratio test) ", 4, array_ord_test_poles[1,1], 4," ")) else omniout_str(always, "NO POLE (ratio test) for Equation 1"), if array_rad_test_poles[1,2] > glob__small and array_rad_test_poles[1,2] < glob_large_float then (omniout_float(always, "Radius of convergence (three term test) for eq 1 ", 4, array_rad_test_poles[1,2], 4," "), if array_rad_test_poles[1,2] < glob_least_3_sing then glob_least_3_sing :array_rad_test_poles[1,2], omniout_float(always, "Order of pole (three term test) ", 4, array_ord_test_poles[1,2], 4," ")) else omniout_str(always, "NO REAL POLE (three term test) for Equation 1"), if array_rad_test_poles[1,3] > glob__small and array_rad_test_poles[1,3] < glob_large_float then (omniout_float(always, "Radius of convergence (six term test) for eq 1 ", 4, array_rad_test_poles[1,3], 4," "), if array_rad_test_poles[1,3] < glob_least_6_sing then glob_least_6_sing :array_rad_test_poles[1,3], omniout_float(always, "Order of pole (six term test) ", 4, array_ord_test_poles[1,3], 4," ")) else omniout_str(always, "NO COMPLEX POLE (six term test) for Equation 1")), 0) (%i238) my_check_sign(x0,xf):=block([ret], if xf > x0 then ret:glob__1 else ret:glob__m1,ret) (%i239) est_size_answer():=block([min_size], min_size:glob_estimated_size_answer, if abs(array_y[1]) < min_size then (min_size:abs(array_y[1]), omniout_float(always,"min_size",32,min_size, 32,"")), if min_size < glob__1 then (min_size:glob__1, omniout_float(always,"min_size",32,min_size, 32,"")),min_size) (%i240) test_suggested_h():=block( [max_estimated_step_error,hn_div_ho,hn_div_ho_2, hn_div_ho_3,no_terms,est_tmp], max_estimated_step_error:glob__small, no_terms:ats_max_terms,hn_div_ho:glob__0_5, hn_div_ho_2:glob__0_25,hn_div_ho_3:glob__0_125, omniout_float(always,"hn_div_ho",32,hn_div_ho,32,""), omniout_float(always,"hn_div_ho_2",32,hn_div_ho_2,32, ""), omniout_float(always,"hn_div_ho_3",32,hn_div_ho_3,32, ""), est_tmp:abs(array_y[no_terms]*hn_div_ho_3 +array_y[no_terms-1]*hn_div_ho_2 +array_y[no_terms-2]*hn_div_ho +array_y[no_terms-3]), if est_tmp >= max_estimated_step_error then max_estimated_step_error:est_tmp, omniout_float(always,"max_estimated_step_error",32, max_estimated_step_error,32,""), max_estimated_step_error) (%i241) track_estimated_error():=block( [hn_div_ho,hn_div_ho_2,hn_div_ho_3,no_terms, est_tmp],no_terms:ats_max_terms, hn_div_ho:glob__0_5,hn_div_ho_2:glob__0_25, hn_div_ho_3:glob__0_125, est_tmp:c(abs(array_y[no_terms]))*c(hn_div_ho_3) +c(abs(array_y[no_terms-1])) *c(hn_div_ho_2) +c(abs(array_y[no_terms-2])) *c(hn_div_ho) +c(abs(array_y[no_terms-3])), if glob_prec*c(abs(array_y[1])) > c(est_tmp) then est_tmp :c(glob_prec)*c(abs(array_y[1])), if c(est_tmp) >= c(array_max_est_error[1]) then array_max_est_error[1]:c(est_tmp)) (%i242) reached_interval():=block(mode_declare([[ret],boolean]), if glob_check_sign*array_x[1] >= glob_check_sign*glob_next_display -glob_h/glob__10 then ret:true else ret:false, return(ret)) (%i243) display_alot(iter):=( block(mode_declare( [[abserr,est_rel_err],convfloat, [closed_form_val_y],convfloat,[ind_var], convfloat,[numeric_val],convfloat,[relerr], convfloat,[term_no],fixnum]), if reached_interval() then (if iter >= 0 then (ind_var:array_x[1], omniout_float(always, "x[1] ", 33,ind_var,20, " "), closed_form_val_y :exact_soln_y(ind_var), omniout_float(always, "y[1] (closed_form) ", 33, closed_form_val_y, 20," "), term_no:1, numeric_val:array_y[term_no], abserr :abs( numeric_val -closed_form_val_y), omniout_float(always, "y[1] (numeric) ", 33,numeric_val, 20," "), if c(abs(closed_form_val_y)) > c(glob_prec) then ( relerr :abserr*glob__100 /abs(closed_form_val_y), if c(relerr) > c(glob_prec) then glob_good_digits :3 -floor(log10(c(relerr))) else glob_good_digits:16) else (relerr:glob__m1, glob_good_digits:-16), if glob_good_digits < glob_min_good_digits then glob_min_good_digits :glob_good_digits, if glob_apfp_est_good_digits < glob_min_apfp_est_good_digits then glob_min_apfp_est_good_digits :glob_apfp_est_good_digits, if c(abs(numeric_val)) > c(glob_prec) then ( est_rel_err :c(array_max_est_error[1]) *glob__100 *c(sqrt(glob_iter))*c(14) *c(ats_max_terms) /c(abs(numeric_val)), if est_rel_err > glob_prec then glob_est_digits :3 -floor( log10(est_rel_err)) else glob_est_digits:16) else (relerr:glob__m1, glob_est_digits:-16), array_est_digits[1] :glob_est_digits, if glob_iter = 1 then array_1st_rel_error[1] :relerr else array_last_rel_error[ 1] :relerr, array_est_rel_error[1] :est_rel_err, omniout_float(always, "absolute error ", 4,abserr,20," "), omniout_float(always, "relative error ", 4,relerr,20,"%"), omniout_int(info, "Desired digits ", 32, glob_desired_digits_correct, 4," "), omniout_int(info, "Estimated correct digits ", 32,glob_est_digits, 4," "), omniout_int(info, "Correct digits ", 32, glob_good_digits,4, " "), omniout_float(always, "h ", 4,glob_h,20, " ")))),0) (%i244) prog_report(x_start,x_end):=( block(mode_declare([[clock_sec],convfloat,[opt_clock_sec], convfloat,[clock_sec1],convfloat, [expect_sec],convfloat,[left_sec], convfloat,[percent_done],convfloat, [total_clock_sec],convfloat]), clock_sec1:elapsed_time_seconds(), total_clock_sec:clock_sec1-glob_orig_start_sec, glob_clock_sec:clock_sec1-glob_clock_start_sec, left_sec:-clock_sec1+glob_orig_start_sec +glob_max_sec, expect_sec:comp_expect_sec(x_end,x_start, glob_h+array_x[1], clock_sec1 -glob_orig_start_sec), opt_clock_sec:clock_sec1 -glob_optimal_clock_start_sec, glob_optimal_expect_sec :comp_expect_sec(x_end,x_start,glob_h+array_x[1], opt_clock_sec), glob_total_exp_sec :c(total_clock_sec)+glob_optimal_expect_sec, percent_done:comp_percent(x_end,x_start, glob_h+array_x[1]), glob_percent_done:percent_done, omniout_str_noeol(info, "Total Elapsed Time "), omniout_timestr(total_clock_sec), omniout_str_noeol(info, "Elapsed Time(since restart) "), omniout_timestr(glob_clock_sec), if c(percent_done) < glob__100 then (omniout_str_noeol(info, "Expected Time Remaining "), omniout_timestr(expect_sec), omniout_str_noeol(info, "Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec), omniout_str_noeol(info, "Expected Total Time "), omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(info, "Time to Timeout "), omniout_timestr(left_sec), omniout_float(info, "Percent Done ",33, percent_done,4,"%")),0) (%i245) check_for_pole():=( block(mode_declare([cnt],fixnum,[dr1,dr2,ds1,ds2,hdrc], convfloat,[m,n],fixnum,[nr1,nr2], convfloat,[ord_no],fixnum, [term1,term2,term3,part1,part2, part3,part4,part5,part6,part7, part8,part9,part10,part11,part12, part13,part14,rad_c,rcs,rm0,rm1, rm2,rm3,rm4],convfloat, [found_sing],fixnum, [h_new,ratio,term,local_test, tmp_rad,tmp_ord,tmp_ratio, prev_tmp_rad],convfloat,[last_no], fixnum),tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,1]:glob_larger_float, array_ord_test_poles[1,1]:glob_larger_float, found_sing:1,last_no:-10-1+ats_max_terms,cnt:0, while last_no < ats_max_terms-3 and found_sing = 1 do (tmp_rad :comp_rad_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), if abs(prev_tmp_rad) > glob__0 then tmp_ratio:tmp_rad/prev_tmp_rad else tmp_ratio:glob_large_float, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,1] then ( array_rad_test_poles[1,1]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,1]:rad_c, array_ord_test_poles[1,1] :tmp_ord)), tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,2]:glob_larger_float, array_ord_test_poles[1,2]:glob_larger_float, found_sing:1,last_no:-10-1+ats_max_terms,cnt:0, while last_no < ats_max_terms-4 and found_sing = 1 do (tmp_rad :comp_rad_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), if abs(prev_tmp_rad) > glob__0 then tmp_ratio:tmp_rad/prev_tmp_rad else tmp_ratio:glob_large_float, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,2] then ( array_rad_test_poles[1,2]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,2]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,2] :tmp_ord)), tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,3]:glob_larger_float, array_ord_test_poles[1,3]:glob_larger_float, found_sing:1,last_no:-10-1+ats_max_terms,cnt:0, while last_no < ats_max_terms-7 and found_sing = 1 do (tmp_rad :comp_rad_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), if abs(prev_tmp_rad) > glob__0 then tmp_ratio:tmp_rad/prev_tmp_rad else tmp_ratio:glob_large_float, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,3] then ( array_rad_test_poles[1,3]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,3]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,3] :tmp_ord)), if abs(glob_min_pole_est)*glob_ratio_of_radius < abs(glob_h) then (h_new :glob_check_sign*glob_min_pole_est *glob_ratio_of_radius, omniout_str(always, "SETTING H FOR POLE"), glob_h_reason:6, if glob_check_sign*glob_min_h > glob_check_sign*h_new then ( omniout_str(always, "SETTING H FOR MIN H"), h_new:glob_min_h,glob_h_reason:5), term:1,ratio:c(1.0), while term <= ats_max_terms do ( array_y[term] :array_y[term]*ratio, array_y_higher[1,term] :array_y_higher[1,term]*ratio, array_x[term] :array_x[term]*ratio, ratio:ratio*h_new/abs(glob_h), term:1+term),glob_h:h_new), if reached_interval() then display_poles()),0) (%i246) atomall():=( block(mode_declare([[kkk,order_d],fixnum, [adj2,adj3,temporary,term,temp,temp2], convfloat]), array_tmp1[1]:array_y[1]+array_const_0D0[1], if not array_y_set_initial[1,2] then (if 1 <= ats_max_terms then ( temporary :c(array_tmp1[1])*expt(glob_h,c(1)) *c(factorial_3(0,1)), if 2 <= ats_max_terms then (array_y[2]:temporary, array_y_higher[1,2]:temporary), temporary:c(temporary)*c(1)/c(glob_h), array_y_higher[2,1]:c(temporary),0)), kkk:2,array_tmp1[2]:array_y[2], if not array_y_set_initial[1,3] then (if 2 <= ats_max_terms then ( temporary :c(array_tmp1[2])*expt(glob_h,c(1)) *c(factorial_3(1,2)), if 3 <= ats_max_terms then (array_y[3]:temporary, array_y_higher[1,3]:temporary), temporary:c(temporary)*c(2)/c(glob_h), array_y_higher[2,2]:c(temporary),0)), kkk:3,array_tmp1[3]:array_y[3], if not array_y_set_initial[1,4] then (if 3 <= ats_max_terms then ( temporary :c(array_tmp1[3])*expt(glob_h,c(1)) *c(factorial_3(2,3)), if 4 <= ats_max_terms then (array_y[4]:temporary, array_y_higher[1,4]:temporary), temporary:c(temporary)*c(3)/c(glob_h), array_y_higher[2,3]:c(temporary),0)), kkk:4,array_tmp1[4]:array_y[4], if not array_y_set_initial[1,5] then (if 4 <= ats_max_terms then ( temporary :c(array_tmp1[4])*expt(glob_h,c(1)) *c(factorial_3(3,4)), if 5 <= ats_max_terms then (array_y[5]:temporary, array_y_higher[1,5]:temporary), temporary:c(temporary)*c(4)/c(glob_h), array_y_higher[2,4]:c(temporary),0)), kkk:5,array_tmp1[5]:array_y[5], if not array_y_set_initial[1,6] then (if 5 <= ats_max_terms then ( temporary :c(array_tmp1[5])*expt(glob_h,c(1)) *c(factorial_3(4,5)), if 6 <= ats_max_terms then (array_y[6]:temporary, array_y_higher[1,6]:temporary), temporary:c(temporary)*c(5)/c(glob_h), array_y_higher[2,5]:c(temporary),0)), kkk:6, while kkk <= ats_max_terms do (array_tmp1[kkk]:array_y[kkk],order_d:1, if order_d+kkk <= ats_max_terms then (if not array_y_set_initial[1,order_d+kkk] then ( temporary :c(array_tmp1[kkk])*expt(glob_h,c(order_d)) *c( factorial_3( kkk-1, -1+order_d+kkk)), array_y[order_d+kkk]:c(temporary), array_y_higher[1,order_d+kkk]:c(temporary), term:-1+order_d+kkk,adj2:-1+order_d+kkk, adj3:2, while term >= 1 and term <= ats_max_terms and adj3 < 1+order_d do ( if adj3 <= 1+order_d then ( if adj2 > 0 then temporary :c(temporary)*c(adj2) /c(glob_h) else temporary:c(temporary), array_y_higher[adj3,term] :c(temporary)),term:term-1, adj2:adj2-1,adj3:1+adj3))), kkk:1+kkk)),0) (%i247) exact_soln_y(x):=block(exp(c(x))) (%o247) exact_soln_y(x) := block(exp(c(x))) (%i248) main_prog():=block( mode_declare([[d1,d2,d3,d4,est_err_2,display_max],convfloat, [niii,done_once,term,ord,order_diff,term_no, html_log_file,iiif,jjjf,rows,r_order, sub_iter,calc_term,iii],fixnum,[temp_sum], convfloat,[current_iter],fixnum, [x_start,x_end],convfloat,[it,opt_iter], fixnum,[tmp],convfloat,[subiter],fixnum, [est_needed_step_err,estimated_step_error, min_value,est_answer,last_min_pole_est], convfloat,[repeat_it],fixnum],[found_h], boolean),Digits:32,max_terms:30, glob_html_log:true,term:1, while term <= 30 do (array_y_init[term]:c(0.0),term:1+term), term:1, while term <= 30 do (array_norms[term]:c(0.0),term:1+term), term:1, while term <= 30 do (array_fact_1[term]:c(0.0),term:1+term), term:1, while term <= 2 do (array_1st_rel_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_last_rel_error[term]:c(0.0),term:1+term), term:1, while term <= 2 do (array_est_rel_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_max_est_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_type_pole[term]:0,term:1+term), term:1, while term <= 2 do (array_type_real_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_type_complex_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_est_digits[term]:0,term:1+term), term:1, while term <= 30 do (array_y[term]:c(0.0),term:1+term), term:1, while term <= 30 do (array_x[term]:c(0.0),term:1+term), term:1, while term <= 30 do (array_tmp0[term]:c(0.0),term:1+term), term:1, while term <= 30 do (array_tmp1[term]:c(0.0),term:1+term), term:1, while term <= 30 do (array_m1[term]:c(0.0),term:1+term), ord:1, while ord <= 2 do (term:1, while term <= 30 do (array_y_higher[ord,term]:c(0.0),term:1+term), ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 30 do (array_y_higher_work[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 30 do (array_y_higher_work2[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 30 do (array_y_set_initial[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_rad_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_ord_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_rad_test_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_ord_test_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 30 do (term:1, while term <= 30 do (array_fact_2[ord,term]:c(0.0),term:1+term), ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x), zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1), zero_ats_ar(array_m1),zero_ats_ar(array_const_1), array_const_1[1]:c(1),zero_ats_ar(array_const_0D0), array_const_0D0[1]:c(0.0),zero_ats_ar(array_m1), array_m1[1]:glob__m1,iiif:0, while iiif <= ats_max_terms do (jjjf:0, while jjjf <= ats_max_terms do (array_fact_1[iiif]:0, array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf), iiif:1+iiif),array_y_set_initial[1,1]:true, array_y_set_initial[1,2]:false, array_y_set_initial[1,3]:false, array_y_set_initial[1,4]:false, array_y_set_initial[1,5]:false, array_y_set_initial[1,6]:false, array_y_set_initial[1,7]:false, array_y_set_initial[1,8]:false, array_y_set_initial[1,9]:false, array_y_set_initial[1,10]:false, array_y_set_initial[1,11]:false, array_y_set_initial[1,12]:false, array_y_set_initial[1,13]:false, array_y_set_initial[1,14]:false, array_y_set_initial[1,15]:false, array_y_set_initial[1,16]:false, array_y_set_initial[1,17]:false, array_y_set_initial[1,18]:false, array_y_set_initial[1,19]:false, array_y_set_initial[1,20]:false, array_y_set_initial[1,21]:false, array_y_set_initial[1,22]:false, array_y_set_initial[1,23]:false, array_y_set_initial[1,24]:false, array_y_set_initial[1,25]:false, array_y_set_initial[1,26]:false, array_y_set_initial[1,27]:false, array_y_set_initial[1,28]:false, array_y_set_initial[1,29]:false, array_y_set_initial[1,30]:false,glob_log_10:log(10.0), glob_orig_start_sec:elapsed_time_seconds(), glob_display_flag:true,glob_no_eqs:1,glob_iter:-1, opt_iter:-1,glob_max_iter:50000,glob_max_hours:0.0, glob_max_minutes:15.0, omniout_str(always, "##############ECHO OF PROBLEM#################"), omniout_str(always, "##############temp/diff0postode.ode#################"), omniout_str(always,"diff ( y , x , 1 ) = y ; "), omniout_str(always,"!"), omniout_str(always,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(always,"Digits:32,"), omniout_str(always,"max_terms:30,"),omniout_str(always,"!"), omniout_str(always,"/* END FIRST INPUT BLOCK */"), omniout_str(always,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(always,"x_start:c(-5.0),"), omniout_str(always,"x_end:c(5.0),"), omniout_str(always, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(always,"glob_look_poles:false,"), omniout_str(always,""),omniout_str(always,""), omniout_str(always,""),omniout_str(always,""), omniout_str(always,""),omniout_str(always,""), omniout_str(always,""), omniout_str(always,"glob_type_given_pole:3,"), omniout_str(always,"/* END SECOND INPUT BLOCK */"), omniout_str(always,"/* BEGIN OVERRIDE BLOCK */"), omniout_str(always,"glob_desired_digits_correct:8,"), omniout_str(always,"glob_max_minutes:(3.0),"), omniout_str(always,"glob_subiter_method:3,"), omniout_str(always,"glob_max_iter:100000,"), omniout_str(always,"glob_upper_ratio_limit:c(1.000001),"), omniout_str(always,"glob_lower_ratio_limit:c(0.999999),"), omniout_str(always,"glob_look_poles:false,"), omniout_str(always,"glob_h:c(0.001),"), omniout_str(always,"glob_display_interval:c(0.01),"), omniout_str(always,"/* END OVERRIDE BLOCK */"), omniout_str(always,"!"), omniout_str(always,"/* BEGIN USER DEF BLOCK */"), omniout_str(always,"exact_soln_y (x) := (block("), omniout_str(always," (exp(c(x))) "), omniout_str(always,"));"),omniout_str(always,""), omniout_str(always,"/* END USER DEF BLOCK */"), omniout_str(always, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false, glob_small_float:glob__0,glob_smallish_float:glob__0, glob_large_float:c(1.0E+100),glob_larger_float:c(1.1E+100), glob_almost_1:c(0.99),x_start:c(-5.0),x_end:c(5.0), array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:false,glob_type_given_pole:3, 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), glob_last_good_h:glob_h, glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes, glob_check_sign:c(my_check_sign(x_start,x_end)), glob__pi:3.141592654,glob_prec:1.0E-16, if glob_optimize then (omniout_str(always,"START of Optimize"), found_h:false,glob_min_pole_est:glob_larger_float, last_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float, glob_min_h:abs(glob_min_h)*glob_check_sign, glob_max_h:abs(glob_max_h)*glob_check_sign, glob_h:abs(glob_min_h)*glob_check_sign, glob_display_interval :c(abs(c(glob_display_interval)) *glob_check_sign), display_max:c(x_end)-c(x_start)/glob__10, if glob_display_interval > display_max then glob_display_interval:c(display_max), chk_data(),min_value:glob_larger_float, est_answer:est_size_answer(),opt_iter:1, est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(always,"est_needed_step_err",32, est_needed_step_err,16,""), estimated_step_error:glob_small_float, while opt_iter <= 100 and not found_h do (omniout_int(always,"opt_iter",32,opt_iter, 4,""),array_x[1]:c(x_start), array_x[2]:c(glob_h), glob_next_display:c(x_start),order_diff:1, term_no:1, while term_no <= order_diff do ( array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h, c(term_no-1)) /c( factorial_1( term_no-1)), term_no:1+term_no), r_order:1+r_order),atomall(), if glob_check_sign*glob_min_h >= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR MIN H"), glob_h:glob_check_sign*abs(glob_min_h), glob_h_reason:1,found_h:true), if glob_check_sign*glob_display_interval <= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR DISPLAY INTERVAL"), glob_h_reason:2, glob_h:glob_display_interval, found_h:true), if glob_look_poles then check_for_pole(), if not found_h then (est_answer:est_size_answer(), est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h, est_answer), omniout_float(always, "est_needed_step_err", 32, est_needed_step_err, 16,""), estimated_step_error :test_suggested_h(), omniout_float(always, "estimated_step_error", 32, estimated_step_error, 32,""), if estimated_step_error < est_needed_step_err then ( omniout_str(always, "Double H and LOOP"), glob_h:glob_h*glob__2) else ( omniout_str(always, "Found H for OPTIMAL"), found_h:true,glob_h_reason:3, glob_h:glob_h/glob__2)), opt_iter:1+opt_iter), if not found_h and opt_iter = 1 then (omniout_str(always, "Beginning glob_h too large."), found_h:false), if glob_check_sign*glob_max_h <= glob_check_sign*glob_h then (omniout_str(always, "SETTING H FOR MAX H"), glob_h:glob_check_sign*abs(glob_max_h), glob_h_reason:1,found_h:true)) else (found_h:true,glob_h:glob_h*glob_check_sign), if glob_html_log then html_log_file:openw("entry.html"), if found_h then (omniout_str(always,"START of Soultion"), array_x[1]:c(x_start),array_x[2]:c(glob_h), glob_next_display:c(x_start), glob_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float,order_diff:1, term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no), r_order:1+r_order),current_iter:1, glob_clock_start_sec:elapsed_time_seconds(), glob_clock_sec:elapsed_time_seconds(),glob_iter:0, omniout_str(debugl," "), glob_reached_optimal_h:true, glob_optimal_clock_start_sec :elapsed_time_seconds(), while glob_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and glob_clock_sec-glob_orig_start_sec < glob_max_sec do (if reached_interval() then (omniout_str(info," "), omniout_str(info, "TOP MAIN SOLVE Loop")), glob_iter:1+glob_iter, glob_clock_sec:elapsed_time_seconds(), track_estimated_error(),atomall(), track_estimated_error(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display :glob_display_interval +glob_next_display, array_x[1]:glob_h+array_x[1], array_x[2]:glob_h,order_diff:2,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[2,iii] :array_y_higher[2,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)), term_no:ats_max_terms, while term_no >= 1 do ( array_y[term_no] :array_y_higher_work2[1,term_no], ord:1, while ord <= order_diff do ( array_y_higher[ord,term_no] :array_y_higher_work2[ ord,term_no],ord:1+ord), term_no:term_no-1)), omniout_str(always,"Finished!"), if glob_iter >= glob_max_iter then omniout_str(always, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds()-glob_orig_start_sec >= glob_max_sec then omniout_str(always, "Maximum Time Reached before Solution Completed!"), glob_clock_sec:elapsed_time_seconds(), omniout_str(info, "diff ( y , x , 1 ) = y ; "), omniout_int(info, "Iterations ",32, glob_iter,4," "), prog_report(x_start,x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2015-04-24T20:30:30-05:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "diff0"), logitem_str(html_log_file, "diff ( y , x , 1 ) = y ; "), logitem_float(html_log_file,x_start), logitem_float(html_log_file,x_end), logitem_float(html_log_file,array_x[1]), logitem_float(html_log_file,glob_h), logitem_h_reason(html_log_file), logitem_str(html_log_file,"16"), logitem_float(html_log_file, glob_desired_digits_correct), if array_est_digits[1] # -16 then ( logitem_integer(html_log_file, array_est_digits[ 1]),0) else ( logitem_str(html_log_file, "Unknown"),0), if glob_min_good_digits # -16 then ( logitem_integer(html_log_file, glob_min_good_digits), 0) else ( logitem_str(html_log_file, "Unknown"),0), if glob_good_digits # -16 then ( logitem_integer(html_log_file, glob_good_digits),0) else ( logitem_str(html_log_file, "Unknown"),0), logitem_str(html_log_file,"NA"), logitem_str(html_log_file,"NA"), logitem_integer(html_log_file, ats_max_terms), if glob_type_given_pole = 0 then ( logitem_str(html_log_file, "Not Given"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 4 then ( logitem_str(html_log_file, "No Solution"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 5 then ( logitem_str(html_log_file, "Some Pole"), logitem_str(html_log_file,"????"),0) elseif glob_type_given_pole = 3 then ( logitem_str(html_log_file, "No Pole"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 1 then ( logitem_str(html_log_file, "Real Sing"), logitem_float(html_log_file, glob_least_given_sing), 0) elseif glob_type_given_pole = 2 then ( logitem_str(html_log_file, "Complex Sing"), logitem_float(html_log_file, glob_least_given_sing), 0), if glob_least_ratio_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_ratio_sing), 0) else ( logitem_str(html_log_file,"NONE"),0), if glob_least_3_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_3_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), if glob_least_6_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_6_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, glob_clock_sec), if c(glob_percent_done) < glob__100 then ( logitem_time(html_log_file, glob_total_exp_sec),0) else ( logitem_str(html_log_file,"Done"), 0), log_revs(html_log_file, " 308.maple.seems.ok "), logitem_str(html_log_file, "diff0 diffeq.max"), logitem_str(html_log_file, "diff0 maxima results"), logitem_str(html_log_file,"OK"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i249) main():=(glob_iolevel:2,compile(all),main_prog()) (%i250) main() warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable secs in translation. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable sec_temp in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable years_int in translation. warning: encountered undefined variable days_int in translation. warning: encountered undefined variable hours_int in translation. warning: encountered undefined variable minutes_int in translation. warning: encountered undefined variable sec_int in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable iii in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable iii_ats in translation. warning: encountered undefined variable ma_ats in translation. warning: encountered undefined variable ret_ats in translation. warning: encountered undefined variable lll_ats in translation. warning: encountered undefined variable ats_max_terms in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable iii_att in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable ma_att in translation. warning: encountered undefined variable lll_att in translation. warning: encountered undefined variable ret_att in translation. warning: encountered undefined variable al_att in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_h_reason in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable errflag in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable sub1 in translation. warning: encountered undefined variable sub2 in translation. warning: encountered undefined variable rrr in translation. warning: encountered undefined variable ms2 in translation. warning: encountered undefined variable sec_left in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable glob_small_float in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ret in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob__m2 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temp in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob__4 in translation. warning: encountered undefined variable glob__3 in translation. warning: encountered undefined variable glob__2 in translation. warning: encountered undefined variable rm0 in translation. warning: encountered undefined variable glob__2 in translation. warning: encountered undefined variable rm1 in translation. warning: encountered undefined variable rm2 in translation. warning: encountered undefined variable rm3 in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable rm4 in translation. warning: encountered undefined variable glob__3 in translation. warning: encountered undefined variable glob__8 in translation. warning: encountered undefined variable glob__5 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable nr1 in translation. warning: encountered undefined variable dr2 in translation. warning: encountered undefined variable nr2 in translation. warning: encountered undefined variable dr1 in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable ds1 in translation. warning: encountered undefined variable ds2 in translation. warning: encountered undefined variable rcs in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable ord_no in translation. warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any. warning: encountered undefined variable rad_c in translation. warning: encountered undefined variable glob_six_term_ord_save in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_fact_2 in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob_log_10 in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob__10 in translation. warning: encountered undefined variable ats_max_terms in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_x in translation. warning: encountered undefined variable array_given_rad_poles in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable rad_given in translation. warning: encountered undefined variable array_given_ord_poles in translation. warning: variable glob_least_given_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable array_rad_test_poles in translation. warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable array_ord_test_poles in translation. warning: encountered undefined variable glob_large_float in translation. warning: variable glob_least_3_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob__small in translation. warning: variable glob_least_6_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob_estimated_size_answer in translation. warning: encountered undefined variable array_y in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob__small in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0_5 in translation. warning: encountered undefined variable glob__0_25 in translation. warning: encountered undefined variable glob__0_125 in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0_5 in translation. warning: encountered undefined variable glob__0_25 in translation. warning: encountered undefined variable glob__0_125 in translation. warning: encountered undefined variable glob_prec in translation. warning: encountered undefined variable array_max_est_error in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_next_display in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__10 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable always in translation. warning: encountered undefined variable ind_var in translation. warning: encountered undefined variable closed_form_val_y in translation. warning: encountered undefined variable term_no in translation. warning: encountered undefined variable numeric_val in translation. warning: encountered undefined variable abserr in translation. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable relerr in translation. warning: variable glob_good_digits (declared type fixnum) assigned type any. warning: encountered undefined variable glob_prec in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_apfp_est_good_digits in translation. warning: encountered undefined variable glob_min_apfp_est_good_digits in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable est_rel_err in translation. warning: variable glob_est_digits (declared type fixnum) assigned type any. warning: encountered undefined variable glob_est_digits in translation. warning: encountered undefined variable array_est_digits in translation. warning: encountered undefined variable array_1st_rel_error in translation. warning: encountered undefined variable array_last_rel_error in translation. warning: encountered undefined variable array_est_rel_error in translation. warning: encountered undefined variable info in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable clock_sec1 in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_clock_start_sec in translation. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_optimal_clock_start_sec in translation. warning: encountered undefined variable opt_clock_sec in translation. warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_optimal_expect_sec in translation. warning: encountered undefined variable total_clock_sec in translation. warning: variable glob_total_exp_sec (declared type convfloat) assigned type any. warning: encountered undefined variable percent_done in translation. warning: variable glob_percent_done (declared type convfloat) assigned type any. warning: encountered undefined variable info in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable expect_sec in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable left_sec in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable last_no in translation. warning: encountered undefined variable found_sing in translation. warning: encountered undefined variable array_y_higher in translation. warning: variable tmp_rad (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_rad in translation. warning: encountered undefined variable prev_tmp_rad in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable cnt in translation. warning: encountered undefined variable tmp_ratio in translation. warning: encountered undefined variable glob_upper_ratio_limit in translation. warning: encountered undefined variable glob_lower_ratio_limit in translation. warning: variable tmp_ord (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_ord in translation. warning: encountered undefined variable glob_min_pole_est in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_ratio_of_radius in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable h_new in translation. warning: variable ratio (declared type convfloat) assigned type any. warning: encountered undefined variable term in translation. warning: encountered undefined variable ratio in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_const_0D0 in translation. warning: encountered undefined variable array_tmp1 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temporary in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable array_y_set_initial in translation. warning: encountered undefined variable kkk in translation. warning: encountered undefined variable order_d in translation. warning: encountered undefined variable adj3 in translation. warning: encountered undefined variable adj2 in translation. modedeclare: [found_h] is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: variable term (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable array_y_init in translation. warning: variable term (declared type [found_h]) assigned type any. warning: encountered undefined variable array_norms in translation. warning: encountered undefined variable array_fact_1 in translation. warning: encountered undefined variable array_type_pole in translation. warning: encountered undefined variable array_type_real_pole in translation. warning: encountered undefined variable array_type_complex_pole in translation. warning: encountered undefined variable array_tmp0 in translation. warning: encountered undefined variable array_m1 in translation. warning: variable ord (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable ord in translation. warning: variable ord (declared type [found_h]) assigned type any. warning: encountered undefined variable array_y_higher_work in translation. warning: encountered undefined variable array_y_higher_work2 in translation. warning: encountered undefined variable array_const_1 in translation. warning: encountered undefined variable glob__m1 in translation. warning: variable iiif (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable iiif in translation. warning: encountered undefined variable ats_max_terms in translation. warning: variable jjjf (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable jjjf in translation. warning: variable jjjf (declared type [found_h]) assigned type any. warning: variable iiif (declared type [found_h]) assigned type any. warning: variable glob_orig_start_sec (declared type convfloat) assigned type any. warning: variable opt_iter (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob__0 in translation. warning: variable glob_large_float (declared type convfloat) assigned type any. warning: variable glob_larger_float (declared type convfloat) assigned type any. warning: variable glob_almost_1 (declared type convfloat) assigned type any. warning: variable x_start (declared type [found_h]) assigned type any. warning: variable x_end (declared type [found_h]) assigned type any. warning: encountered undefined variable x_start in translation. warning: variable glob_upper_ratio_limit (declared type convfloat) assigned type any. warning: variable glob_lower_ratio_limit (declared type convfloat) assigned type any. warning: variable glob_h (declared type convfloat) assigned type any. warning: variable glob_display_interval (declared type convfloat) assigned type any. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_max_minutes in translation. warning: encountered undefined variable glob_max_hours in translation. warning: encountered undefined variable x_end in translation. warning: variable glob_check_sign (declared type convfloat) assigned type any. warning: encountered undefined variable glob_larger_float in translation. warning: variable last_min_pole_est (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_max_h in translation. warning: encountered undefined variable glob_display_interval in translation. warning: encountered undefined variable glob__10 in translation. warning: variable display_max (declared type [found_h]) assigned type any. warning: encountered undefined variable display_max in translation. warning: variable min_value (declared type [found_h]) assigned type convfloat. warning: variable est_answer (declared type [found_h]) assigned type any. warning: encountered undefined variable est_answer in translation. warning: variable est_needed_step_err (declared type [found_h]) assigned type any. warning: encountered undefined variable est_needed_step_err in translation. warning: encountered undefined variable glob_small_float in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable opt_iter in translation. warning: encountered undefined variable found_h in translation. warning: variable glob_next_display (declared type convfloat) assigned type any. warning: variable order_diff (declared type [found_h]) assigned type fixnum. warning: variable term_no (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable order_diff in translation. warning: variable term_no (declared type [found_h]) assigned type any. warning: variable r_order (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable r_order in translation. warning: encountered undefined variable rows in translation. warning: variable it (declared type [found_h]) assigned type any. warning: encountered undefined variable it in translation. warning: variable r_order (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_look_poles in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type any. warning: encountered undefined variable estimated_step_error in translation. warning: encountered undefined variable glob__2 in translation. warning: variable opt_iter (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_optimize in translation. warning: variable html_log_file (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_html_log in translation. warning: variable current_iter (declared type [found_h]) assigned type fixnum. warning: variable glob_clock_start_sec (declared type convfloat) assigned type any. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable debugl in translation. warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable info in translation. warning: encountered undefined variable current_iter in translation. warning: encountered undefined variable glob_next_display in translation. warning: variable calc_term (declared type [found_h]) assigned type fixnum. warning: variable iii (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable calc_term in translation. warning: variable iii (declared type [found_h]) assigned type any. warning: variable temp_sum (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable temp_sum in translation. warning: variable temp_sum (declared type [found_h]) assigned type any. warning: encountered undefined variable html_log_file in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob_percent_done in translation. warning: encountered undefined variable glob__100 in translation. WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB__PI is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $LAST_MIN_POLE_EST is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_REACHED_OPTIMAL_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. "##############ECHO OF PROBLEM#################" "##############temp/diff0postode.ode#################" "diff ( y , x , 1 ) = y ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:c(-5.0)," "x_end:c(5.0)," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:false," "" "" "" "" "" "" "" "glob_type_given_pole:3," "/* 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 */" "exact_soln_y (x) := (block(" " (exp(c(x))) " "));" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = -5. " " y[1] (closed_form) = 6.737946999085467000E-3 " " y[1] (numeric) = 6.737946999085467000E-3 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 15 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.989999999999997 " " y[1] (closed_form) = 6.805664492230568000E-3 " " y[1] (numeric) = 6.805664492230545000E-3 " " absolute error = 2.255140518769849200000000000000000E-17 " " relative error = 3.3136228230826630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.979999999999993 " " y[1] (closed_form) = 6.874062557496298000E-3 " " y[1] (numeric) = 6.874062557496253000E-3 " " absolute error = 4.42354486374085800000000000000000E-17 " " relative error = 6.4351245376969950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.96999999999999 " " y[1] (closed_form) = 6.943148034746183000E-3 " " y[1] (numeric) = 6.9431480347461150000E-3 " " absolute error = 6.76542155630954800000000000000000E-17 " " relative error = 9.744026085073769000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.959999999999987 " " y[1] (closed_form) = 7.012927832585517000E-3 " " y[1] (numeric) = 7.012927832585426000E-3 " " absolute error = 9.10729824887823700000000000000000E-17 " " relative error = 1.2986442276735322000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.949999999999983 " " y[1] (closed_form) = 7.083408929052238000E-3 " " y[1] (numeric) = 7.083408929052123000E-3 " " absolute error = 1.15359111152457670000000000000000E-16 " " relative error = 1.6285818354961580000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.93999999999998 " " y[1] (closed_form) = 7.154598372314724000E-3 " " y[1] (numeric) = 7.154598372314585000E-3 " " absolute error = 1.40512601554121370000000000000000E-16 " " relative error = 1.9639481385544413000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.929999999999977 " " y[1] (closed_form) = 7.226503281376630000E-3 " " y[1] (numeric) = 7.226503281376463000E-3 " " absolute error = 1.65666091955785080000000000000000E-16 " " relative error = 2.292479301610808000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.919999999999973 " " y[1] (closed_form) = 7.299130846788777000E-3 " " y[1] (numeric) = 7.2991308467885850000E-3 " " absolute error = 1.91686944095437180000000000000000E-16 " " relative error = 2.6261612254802785000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.90999999999997 " " y[1] (closed_form) = 7.372488331368234000E-3 " " y[1] (numeric) = 7.3724883313680160000E-3 " " absolute error = 2.1857515797307770000000000000000E-16 " " relative error = 2.9647406431705140000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.899999999999967 " " y[1] (closed_form) = 7.446583070924588000E-3 " " y[1] (numeric) = 7.446583070924343000E-3 " " absolute error = 2.4546337185071820000000000000000E-16 " " relative error = 3.2963222126553243000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.889999999999963 " " y[1] (closed_form) = 7.5214224749935430000E-3 " " y[1] (numeric) = 7.52142247499327000E-3 " " absolute error = 2.7321894746634710000000000000000E-16 " " relative error = 3.632543556417918700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.87999999999996 " " y[1] (closed_form) = 7.5970140275778720000E-3 " " y[1] (numeric) = 7.59701402757757000E-3 " " absolute error = 3.01841884819964430000000000000000E-16 " " relative error = 3.973164768740062000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.869999999999957 " " y[1] (closed_form) = 7.673365287895824000E-3 " " y[1] (numeric) = 7.673365287895493000E-3 " " absolute error = 3.30464822173581750000000000000000E-16 " " relative error = 4.306647862768452000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.859999999999953 " " y[1] (closed_form) = 7.750483891137058000E-3 " " y[1] (numeric) = 7.750483891136698000E-3 " " absolute error = 3.59087759527199070000000000000000E-16 " " relative error = 4.633101165952078000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.84999999999995 " " y[1] (closed_form) = 7.828377549226164000E-3 " " y[1] (numeric) = 7.828377549225777000E-3 " " absolute error = 3.868433351428280000000000000000E-16 " " relative error = 4.941551844048036600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.839999999999947 " " y[1] (closed_form) = 7.907054051593863000E-3 " " y[1] (numeric) = 7.907054051593443000E-3 " " absolute error = 4.1980308118638730000000000000000E-16 " " relative error = 5.309222353194432000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.829999999999943 " " y[1] (closed_form) = 7.986521265955957000E-3 " " y[1] (numeric) = 7.986521265955506000E-3 " " absolute error = 4.5102810375396984000000000000000E-16 " " relative error = 5.647366215332846000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.81999999999994 " " y[1] (closed_form) = 8.066787139100102000E-3 " " y[1] (numeric) = 8.066787139099622000E-3 " " absolute error = 4.8051840284557557000000000000000E-16 " " relative error = 5.956750743012419000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.8099999999999365 " " y[1] (closed_form) = 8.147859697680502000E-3 " " y[1] (numeric) = 8.147859697679989000E-3 " " absolute error = 5.1347814888913490000000000000000E-16 " " relative error = 6.302000377293066000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.799999999999933 " " y[1] (closed_form) = 8.229747049020578000E-3 " " y[1] (numeric) = 8.22974704902003000E-3 " " absolute error = 5.481726184086710000000000000000E-16 " " relative error = 6.660868373517130000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.78999999999993 " " y[1] (closed_form) = 8.312457381923701000E-3 " " y[1] (numeric) = 8.312457381923122000E-3 " " absolute error = 5.7939764097625360000000000000000E-16 " " relative error = 6.9702329209676750000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.7799999999999265 " " y[1] (closed_form) = 8.39599896749209000E-3 " " y[1] (numeric) = 8.395998967491474000E-3 " " absolute error = 6.1582683397176650000000000000000E-16 " " relative error = 7.334765480035734000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.769999999999923 " " y[1] (closed_form) = 8.480380159953915000E-3 " " y[1] (numeric) = 8.480380159953265000E-3 " " absolute error = 6.5052130349130270000000000000000E-16 " " relative error = 7.67089789869559000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.75999999999992 " " y[1] (closed_form) = 8.565609397498746000E-3 " " y[1] (numeric) = 8.56560939749806100E-3 " " absolute error = 6.8521577301083880000000000000000E-16 " " relative error = 7.999614986073605000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.7499999999999165 " " y[1] (closed_form) = 8.651695203121356000E-3 " " y[1] (numeric) = 8.651695203120636000E-3 " " absolute error = 7.1991024253037490000000000000000E-16 " " relative error = 8.32103103066606000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.739999999999913 " " y[1] (closed_form) = 8.73864618547405000E-3 " " y[1] (numeric) = 8.738646185473294000E-3 " " absolute error = 7.5633943552588790000000000000000E-16 " " relative error = 8.655109950361932000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.72999999999991 " " y[1] (closed_form) = 8.826471039727523000E-3 " " y[1] (numeric) = 8.82647103972673000E-3 " " absolute error = 7.9276862852140080000000000000000E-16 " " relative error = 8.981716758069984000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.7199999999999065 " " y[1] (closed_form) = 8.915178548440384000E-3 " " y[1] (numeric) = 8.915178548439552000E-3 " " absolute error = 8.3266726846886740000000000000000E-16 " " relative error = 9.339883255782171000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.709999999999903 " " y[1] (closed_form) = 9.00477758243743000E-3 " " y[1] (numeric) = 9.00477758243656000E-3 " " absolute error = 8.7083118494035720000000000000000E-16 " " relative error = 9.670768400085668000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.6999999999999 " " y[1] (closed_form) = 9.095277101696728000E-3 " " y[1] (numeric) = 9.095277101695819000E-3 " " absolute error = 9.089951014118469000000000000000E-16 " " relative error = 9.994144117305381000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.6899999999998965 " " y[1] (closed_form) = 9.186686156245618000E-3 " " y[1] (numeric) = 9.18668615624467000E-3 " " absolute error = 9.4889374135931350000000000000000E-16 " " relative error = 1.032901010463063300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.679999999999893 " " y[1] (closed_form) = 9.279013887065732000E-3 " " y[1] (numeric) = 9.279013887064744000E-3 " " absolute error = 9.88792381306780000000000000000E-16 " " relative error = 1.06562226691468200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.66999999999989 " " y[1] (closed_form) = 9.37226952700709000E-3 " " y[1] (numeric) = 9.372269527006061000E-3 " " absolute error = 1.0286910212542466000000000000000E-15 " " relative error = 1.097590096283483100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.6599999999998865 " " y[1] (closed_form) = 9.466462401711399000E-3 " " y[1] (numeric) = 9.466462401710328000E-3 " " absolute error = 1.07032438467769000000000000000E-15 " " relative error = 1.130648746340756500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.649999999999883 " " y[1] (closed_form) = 9.561601930544625000E-3 " " y[1] (numeric) = 9.561601930543512000E-3 " " absolute error = 1.1136924715771102000000000000000E-15 " " relative error = 1.164755110772191200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.63999999999988 " " y[1] (closed_form) = 9.657697627538936000E-3 " " y[1] (numeric) = 9.65769762753778000E-3 " " absolute error = 1.1553258350005535000000000000000E-15 " " relative error = 1.196274598312273400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.629999999999876 " " y[1] (closed_form) = 9.754759102344107000E-3 " " y[1] (numeric) = 9.754759102342908000E-3 " " absolute error = 1.1986939218999737000000000000000E-15 " " relative error = 1.228829855584975700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.619999999999873 " " y[1] (closed_form) = 9.852796061188508000E-3 " " y[1] (numeric) = 9.852796061187268000E-3 " " absolute error = 1.240327285323417100000000000000E-15 " " relative error = 1.258858173477510000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.60999999999987 " " y[1] (closed_form) = 9.951818307849719000E-3 " " y[1] (numeric) = 9.951818307848433000E-3 " " absolute error = 1.285430095698814000000000000000E-15 " " relative error = 1.291653500833010700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.599999999999866 " " y[1] (closed_form) = 1.005183574463492500E-2 " " y[1] (numeric) = 1.005183574463359300E-2 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.325397333776841300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.589999999999863 " " y[1] (closed_form) = 1.015285837337115300E-2 " " y[1] (numeric) = 1.015285837336977200E-2 " " absolute error = 1.3808398868775384000000000000000E-15 " " relative error = 1.360050378028709600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.57999999999986 " " y[1] (closed_form) = 1.02548962964054610E-2 " " y[1] (numeric) = 1.025489629640403400E-2 " " absolute error = 1.4259426972529354000000000000000E-15 " " relative error = 1.390499382965731400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.569999999999856 " " y[1] (closed_form) = 1.035795971761518800E-2 " " y[1] (numeric) = 1.035795971761370700E-2 " " absolute error = 1.4797191250082165000000000000000E-15 " " relative error = 1.428581656377503600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.559999999999853 " " y[1] (closed_form) = 1.046205894342833700E-2 " " y[1] (numeric) = 1.046205894342680500E-2 " " absolute error = 1.5317608292875207000000000000000E-15 " " relative error = 1.464110303306678200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.54999999999985 " " y[1] (closed_form) = 1.056720438385424200E-2 " " y[1] (numeric) = 1.056720438385265700E-2 " " absolute error = 1.5838025335668250000000000000000E-15 " " relative error = 1.49879048046684500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.539999999999846 " " y[1] (closed_form) = 1.067340655352456400E-2 " " y[1] (numeric) = 1.06734065535229310E-2 " " absolute error = 1.6341095143701523000000000000000E-15 " " relative error = 1.53101027884161080000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.529999999999843 " " y[1] (closed_form) = 1.078067607274477800E-2 " " y[1] (numeric) = 1.078067607274309000E-2 " " absolute error = 1.6896206656014100000000000000000E-15 " " relative error = 1.567267817157620700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.51999999999984 " " y[1] (closed_form) = 1.088902366855619300E-2 " " y[1] (numeric) = 1.088902366855444800E-2 " " absolute error = 1.7433970933566910000000000000000E-15 " " relative error = 1.601059145817664600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.509999999999836 " " y[1] (closed_form) = 1.099846017580867800E-2 " " y[1] (numeric) = 1.099846017580688300E-2 " " absolute error = 1.7954387976359953000000000000000E-15 " " relative error = 1.632445605053966800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.499999999999833 " " y[1] (closed_form) = 1.110899653824416200E-2 " " y[1] (numeric) = 1.110899653824230600E-2 " " absolute error = 1.8561541192951836000000000000000E-15 " " relative error = 1.670856690705710700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.48999999999983 " " y[1] (closed_form) = 1.122064380959099700E-2 " " y[1] (numeric) = 1.122064380958908600E-2 " " absolute error = 1.9116652705264414000000000000000E-15 " " relative error = 1.703703729453045800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.479999999999826 " " y[1] (closed_form) = 1.133341315466936100E-2 " " y[1] (numeric) = 1.13334131546673900E-2 " " absolute error = 1.970645868709652900000000000000E-15 " " relative error = 1.738792931851908500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.469999999999823 " " y[1] (closed_form) = 1.144731585050773500E-2 " " y[1] (numeric) = 1.144731585050570700E-2 " " absolute error = 2.0278917434168875000000000000000E-15 " " relative error = 1.771499773308816400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.45999999999982 " " y[1] (closed_form) = 1.156236328747062100E-2 " " y[1] (numeric) = 1.156236328746853400E-2 " " absolute error = 2.086872341600099000000000000000E-15 " " relative error = 1.804883906269842400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.449999999999816 " " y[1] (closed_form) = 1.16785669703975900E-2 " " y[1] (numeric) = 1.167856697039544500E-2 " " absolute error = 2.1458529397833104000000000000000E-15 " " relative error = 1.837428295117492500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.439999999999813 " " y[1] (closed_form) = 1.179593851975377200E-2 " " y[1] (numeric) = 1.179593851975156700E-2 " " absolute error = 2.204833537966521800000000000000E-15 " " relative error = 1.869146345815767600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.42999999999981 " " y[1] (closed_form) = 1.191448967279191100E-2 " " y[1] (numeric) = 1.191448967278964400E-2 " " absolute error = 2.267283583101687000000000000000E-15 " " relative error = 1.90296323667079600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.419999999999806 " " y[1] (closed_form) = 1.203423228472610400E-2 " " y[1] (numeric) = 1.203423228472377300E-2 " " absolute error = 2.3314683517128287000000000000000E-15 " " relative error = 1.93736359457839100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.409999999999803 " " y[1] (closed_form) = 1.215517832991733200E-2 " " y[1] (numeric) = 1.215517832991493300E-2 " " absolute error = 2.3991225672759242000000000000000E-15 " " relative error = 1.97374526490574400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.3999999999998 " " y[1] (closed_form) = 1.227733990307090100E-2 " " y[1] (numeric) = 1.227733990306843800E-2 " " absolute error = 2.463307335887066000000000000000E-15 " " relative error = 2.006385222967497200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.389999999999796 " " y[1] (closed_form) = 1.240072922044592700E-2 " " y[1] (numeric) = 1.2400729220443400E-2 " " absolute error = 2.527492104498208000000000000000E-15 " " relative error = 2.038180222765415600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.379999999999793 " " y[1] (closed_form) = 1.252535862107697600E-2 " " y[1] (numeric) = 1.252535862107438000E-2 " " absolute error = 2.5951463200613034000000000000000E-15 " " relative error = 2.07191378592093600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.36999999999979 " " y[1] (closed_form) = 1.265124056800796800E-2 " " y[1] (numeric) = 1.265124056800530400E-2 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.10614543670789300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.359999999999786 " " y[1] (closed_form) = 1.277838764953849700E-2 " " y[1] (numeric) = 1.277838764953576300E-2 " " absolute error = 2.733924198139448000000000000000E-15 " " relative error = 2.13949073476275900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.349999999999783 " " y[1] (closed_form) = 1.29068125804826700E-2 " " y[1] (numeric) = 1.290681258047986800E-2 " " absolute error = 2.8033131371785200000000000000000E-15 " " relative error = 2.171963929667355700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.33999999999978 " " y[1] (closed_form) = 1.303652820344060600E-2 " " y[1] (numeric) = 1.303652820343773300E-2 " " absolute error = 2.8744367996935694000000000000000E-15 " " relative error = 2.204909738878903800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.329999999999776 " " y[1] (closed_form) = 1.316754749008269800E-2 " " y[1] (numeric) = 1.31675474900797500E-2 " " absolute error = 2.949029909160572000000000000000E-15 " " relative error = 2.239619725223448200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.319999999999773 " " y[1] (closed_form) = 1.329988354244679100E-2 " " y[1] (numeric) = 1.329988354244377200E-2 " " absolute error = 3.020153571675621000000000000000E-15 " " relative error = 2.270812042854926000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.30999999999977 " " y[1] (closed_form) = 1.343354959424840300E-2 " " y[1] (numeric) = 1.343354959424531000E-2 " " absolute error = 3.094746681142624000000000000000E-15 " " relative error = 2.30374456090715200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.299999999999766 " " y[1] (closed_form) = 1.356855901220410400E-2 " " y[1] (numeric) = 1.356855901220093400E-2 " " absolute error = 3.1693397906096266000000000000000E-15 " " relative error = 2.335796887317950200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.289999999999763 " " y[1] (closed_form) = 1.370492529736819500E-2 " " y[1] (numeric) = 1.370492529736494800E-2 " " absolute error = 3.2491370705045597000000000000000E-15 " " relative error = 2.370780577059039600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.2799999999997596 " " y[1] (closed_form) = 1.384266208648283200E-2 " " y[1] (numeric) = 1.384266208647950400E-2 " " absolute error = 3.328934350399493000000000000000E-15 " " relative error = 2.404836822283013800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.269999999999756 " " y[1] (closed_form) = 1.39817831533417100E-2 " " y[1] (numeric) = 1.398178315333830000E-2 " " absolute error = 3.408731630294426000000000000000E-15 " " relative error = 2.43798061585565600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.259999999999753 " " y[1] (closed_form) = 1.412230241016744800E-2 " " y[1] (numeric) = 1.412230241016396000E-2 " " absolute error = 3.490263633665336000000000000000E-15 " " relative error = 2.471455101508445700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.2499999999997495 " " y[1] (closed_form) = 1.426423390900282700E-2 " " y[1] (numeric) = 1.426423390899925500E-2 " " absolute error = 3.573530360512222600000000000000E-15 " " relative error = 2.505238194570547600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.239999999999746 " " y[1] (closed_form) = 1.44075918431160100E-2 " " y[1] (numeric) = 1.440759184311235200E-2 " " absolute error = 3.656797087359109400000000000000E-15 " " relative error = 2.538104304437482000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.229999999999743 " " y[1] (closed_form) = 1.455239054841987200E-2 " " y[1] (numeric) = 1.455239054841612800E-2 " " absolute error = 3.74353326115794970000000000000E-15 " " relative error = 2.57245244257441300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.2199999999997395 " " y[1] (closed_form) = 1.469864450490560900E-2 " " y[1] (numeric) = 1.469864450490177600E-2 " " absolute error = 3.833738881908743700000000000000E-15 " " relative error = 2.608226139920078500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.209999999999736 " " y[1] (closed_form) = 1.484636833809074900E-2 " " y[1] (numeric) = 1.484636833808683000E-2 " " absolute error = 3.920475055707584000000000000000E-15 " " relative error = 2.640696341642672000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.199999999999733 " " y[1] (closed_form) = 1.499557682048171200E-2 " " y[1] (numeric) = 1.499557682047770200E-2 " " absolute error = 4.008945952982401000000000000000E-15 " " relative error = 2.673418969456901000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.1899999999997295 " " y[1] (closed_form) = 1.514628487305108300E-2 " " y[1] (numeric) = 1.514628487304697800E-2 " " absolute error = 4.1043557441611256000000000000000E-15 " " relative error = 2.709810213238344000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.179999999999726 " " y[1] (closed_form) = 1.529850756672970500E-2 " " y[1] (numeric) = 1.529850756672550500E-2 " " absolute error = 4.198030811863873000000000000000E-15 " " relative error = 2.744078658361096500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.169999999999723 " " y[1] (closed_form) = 1.545226012391379700E-2 " " y[1] (numeric) = 1.545226012390951000E-2 " " absolute error = 4.289971156090644000000000000000E-15 " " relative error = 2.776274228940475700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.1599999999997195 " " y[1] (closed_form) = 1.56075579199872100E-2 " " y[1] (numeric) = 1.560755791998282800E-2 " " absolute error = 4.3836462237933915000000000000000E-15 " " relative error = 2.808668880978263400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.149999999999716 " " y[1] (closed_form) = 1.576441648485896500E-2 " " y[1] (numeric) = 1.576441648485448800E-2 " " absolute error = 4.479056014972116000000000000000E-15 " " relative error = 2.84124440588971600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.139999999999713 " " y[1] (closed_form) = 1.592285150451626400E-2 " " y[1] (numeric) = 1.592285150451168700E-2 " " absolute error = 4.576200529626817000000000000000E-15 " " relative error = 2.87398304777812640000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.1299999999997095 " " y[1] (closed_form) = 1.608287882259310200E-2 " " y[1] (numeric) = 1.608287882258842300E-2 " " absolute error = 4.6802839381854255000000000000000E-15 " " relative error = 2.910103340212076300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.119999999999706 " " y[1] (closed_form) = 1.624451444195465000E-2 " " y[1] (numeric) = 1.62445144419498600E-2 " " absolute error = 4.7878367936959876000000000000000E-15 " " relative error = 2.947356051055893000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.109999999999703 " " y[1] (closed_form) = 1.640777452629752500E-2 " " y[1] (numeric) = 1.640777452629263700E-2 " " absolute error = 4.888450755302642400000000000000E-15 " " relative error = 2.979350275363479300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.099999999999700 " " y[1] (closed_form) = 1.65726754017662300E-2 " " y[1] (numeric) = 1.657267540176123300E-2 " " absolute error = 4.9960036108132044000000000000000E-15 " " relative error = 3.0146029471383700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.089999999999696 " " y[1] (closed_form) = 1.67392335585857200E-2 " " y[1] (numeric) = 1.673923355858061600E-2 " " absolute error = 5.1035564663237660000000000000000E-15 " " relative error = 3.04885910604079100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.079999999999693 " " y[1] (closed_form) = 1.690746565271047400E-2 " " y[1] (numeric) = 1.690746565270526400E-2 " " absolute error = 5.207639874882375000000000000000E-15 " " relative error = 3.08008307208805500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.069999999999690 " " y[1] (closed_form) = 1.707738850749010400E-2 " " y[1] (numeric) = 1.707738850748478600E-2 " " absolute error = 5.3186621773448900000000000000000E-15 " " relative error = 3.11444702157600840000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.059999999999686 " " y[1] (closed_form) = 1.724901911535168800E-2 " " y[1] (numeric) = 1.724901911534626000E-2 " " absolute error = 5.429684479807406000000000000000E-15 " " relative error = 3.1478221709285300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.049999999999683 " " y[1] (closed_form) = 1.742237463949904000E-2 " " y[1] (numeric) = 1.742237463949350000E-2 " " absolute error = 5.540706782269922000000000000000E-15 " " relative error = 3.180224795366493600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.039999999999680 " " y[1] (closed_form) = 1.759747241562903400E-2 " " y[1] (numeric) = 1.75974724156233770E-2 " " absolute error = 5.655198531684391000000000000000E-15 " " relative error = 3.213642503943792700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.029999999999676 " " y[1] (closed_form) = 1.777432995366520500E-2 " " y[1] (numeric) = 1.777432995365943500E-2 " " absolute error = 5.7696902810988600000000000000000E-15 " " relative error = 3.24608032828213900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.019999999999673 " " y[1] (closed_form) = 1.795296493950873400E-2 " " y[1] (numeric) = 1.79529649395028500E-2 " " absolute error = 5.88418203051333000000000000000E-15 " " relative error = 3.27755445985644800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.009999999999670 " " y[1] (closed_form) = 1.813339523680706800E-2 " " y[1] (numeric) = 1.81333952368010610E-2 " " absolute error = 6.005612673831706000000000000000E-15 " " relative error = 3.31190744777985400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.9999999999996665 " " y[1] (closed_form) = 1.83156388887402880E-2 " " y[1] (numeric) = 1.831563888873417600E-2 " " absolute error = 6.113165529342268000000000000000E-15 " " relative error = 3.337675287483634600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.9899999999996676 " " y[1] (closed_form) = 1.849971411982539400E-2 " " y[1] (numeric) = 1.84997141198192380E-2 " " absolute error = 6.1547988927657120000000000000000E-15 " " relative error = 3.3269697320186500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.9799999999996687 " " y[1] (closed_form) = 1.868563933773896300E-2 " " y[1] (numeric) = 1.868563933773276200E-2 " " absolute error = 6.1999017031411090000000000000000E-15 " " relative error = 3.31800351653973540000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.96999999999967 " " y[1] (closed_form) = 1.88734331351577200E-2 " " y[1] (numeric) = 1.887343313515148200E-2 " " absolute error = 6.238065619612598000000000000000E-15 " " relative error = 3.305209802021781000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.959999999999671 " " y[1] (closed_form) = 1.90631142916179100E-2 " " y[1] (numeric) = 1.906311429161162700E-2 " " absolute error = 6.283168429987995000000000000000E-15 " " relative error = 3.29598214324860750000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.949999999999672 " " y[1] (closed_form) = 1.92547017753932380E-2 " " y[1] (numeric) = 1.925470177538691200E-2 " " absolute error = 6.324801793411439000000000000000E-15 " " relative error = 3.28480901298315100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.939999999999673 " " y[1] (closed_form) = 1.944821474539174500E-2 " " y[1] (numeric) = 1.944821474538538400E-2 " " absolute error = 6.3629657098829280000000000000000E-15 " " relative error = 3.271747969252875600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.929999999999674 " " y[1] (closed_form) = 1.964367255307169500E-2 " " y[1] (numeric) = 1.964367255306528600E-2 " " absolute error = 6.4080685202583250000000000000000E-15 " " relative error = 3.26215401063396900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.9199999999996753 " " y[1] (closed_form) = 1.98410947443767300E-2 " " y[1] (numeric) = 1.984109474437027700E-2 " " absolute error = 6.453171330633722000000000000000E-15 " " relative error = 3.25242705292894730000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.9099999999996764 " " y[1] (closed_form) = 2.004050106169050200E-2 " " y[1] (numeric) = 2.004050106168400700E-2 " " absolute error = 6.494804694057166000000000000000E-15 " " relative error = 3.240839475053175500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.8999999999996775 " " y[1] (closed_form) = 2.024191144581091700E-2 " " y[1] (numeric) = 2.024191144580437800E-2 " " absolute error = 6.539907504432563000000000000000E-15 " " relative error = 3.23087447642500300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.8899999999996786 " " y[1] (closed_form) = 2.044534603794423000E-2 " " y[1] (numeric) = 2.044534603793764500E-2 " " absolute error = 6.581540867856006000000000000000E-15 " " relative error = 3.219089985389055300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.8799999999996797 " " y[1] (closed_form) = 2.06508251817191800E-2 " " y[1] (numeric) = 2.065082518171255000E-2 " " absolute error = 6.626643678231403000000000000000E-15 " " relative error = 3.208900186757445000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.869999999999681 " " y[1] (closed_form) = 2.085836942522137600E-2 " " y[1] (numeric) = 2.085836942521470700E-2 " " absolute error = 6.6717464886068000000000000000E-15 " " relative error = 3.19859445990035300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.859999999999682 " " y[1] (closed_form) = 2.106799952304813400E-2 " " y[1] (numeric) = 2.106799952304141700E-2 " " absolute error = 6.716849298982197000000000000000E-15 " " relative error = 3.188176120677261000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.849999999999683 " " y[1] (closed_form) = 2.127973643838391700E-2 " " y[1] (numeric) = 2.127973643837716000E-2 " " absolute error = 6.7584826624056400000000000000000E-15 " " relative error = 3.17601803103859800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.839999999999684 " " y[1] (closed_form) = 2.14936013450967080E-2 " " y[1] (numeric) = 2.14936013450899080E-2 " " absolute error = 6.800116025829084000000000000000E-15 " " relative error = 3.16378624347212100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.829999999999685 " " y[1] (closed_form) = 2.170961562985540500E-2 " " y[1] (numeric) = 2.170961562984856400E-2 " " absolute error = 6.841749389252527000000000000000E-15 " " relative error = 3.15148342831258870000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.8199999999996863 " " y[1] (closed_form) = 2.192780089426849500E-2 " " y[1] (numeric) = 2.192780089426160700E-2 " " absolute error = 6.890321646579878000000000000000E-15 " " relative error = 3.14227663768183700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.8099999999996874 " " y[1] (closed_form) = 2.21481789570442400E-2 " " y[1] (numeric) = 2.214817895703730400E-2 " " absolute error = 6.935424456955275000000000000000E-15 " " relative error = 3.13137457955632900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.7999999999996885 " " y[1] (closed_form) = 2.237077185617256400E-2 " " y[1] (numeric) = 2.237077185616558300E-2 " " absolute error = 6.980527267330672000000000000000E-15 " " relative error = 3.120378372373681700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.7899999999996896 " " y[1] (closed_form) = 2.25956018511288800E-2 " " y[1] (numeric) = 2.259560185112185500E-2 " " absolute error = 7.025630077706069000000000000000E-15 " " relative error = 3.10929096909851430000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.7799999999996907 " " y[1] (closed_form) = 2.282269142510003300E-2 " " y[1] (numeric) = 2.282269142509296400E-2 " " absolute error = 7.070732888081466000000000000000E-15 " " relative error = 3.09811527325177140000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.769999999999692 " " y[1] (closed_form) = 2.305206328723267100E-2 " " y[1] (numeric) = 2.305206328722555800E-2 " " absolute error = 7.115835698456863000000000000000E-15 " " relative error = 3.086854139602311000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.759999999999693 " " y[1] (closed_form) = 2.328374037490415500E-2 " " y[1] (numeric) = 2.328374037489698600E-2 " " absolute error = 7.167877402736167000000000000000E-15 " " relative error = 3.07849052056167900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.749999999999694 " " y[1] (closed_form) = 2.351774585601630300E-2 " " y[1] (numeric) = 2.351774585600908700E-2 " " absolute error = 7.216449660063518000000000000000E-15 " " relative error = 3.06851247744792100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.739999999999695 " " y[1] (closed_form) = 2.375410313131224300E-2 " " y[1] (numeric) = 2.375410313130497700E-2 " " absolute error = 7.268491364342822000000000000000E-15 " " relative error = 3.05988877970375700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.7299999999996962 " " y[1] (closed_form) = 2.399283583671646400E-2 " " y[1] (numeric) = 2.399283583670915300E-2 " " absolute error = 7.310124727766265000000000000000E-15 " " relative error = 3.04679479221022800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.7199999999996973 " " y[1] (closed_form) = 2.423396784569845400E-2 " " y[1] (numeric) = 2.4233967845691098E-2 " " absolute error = 7.355227538141662000000000000000E-15 " " relative error = 3.03509007892292800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.7099999999996984 " " y[1] (closed_form) = 2.447752327166005400E-2 " " y[1] (numeric) = 2.447752327165265100E-2 " " absolute error = 7.400330348517059000000000000000E-15 " " relative error = 3.02331664294039200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.6999999999996995 " " y[1] (closed_form) = 2.47235264703468180E-2 " " y[1] (numeric) = 2.472352647033937000E-2 " " absolute error = 7.452372052796363000000000000000E-15 " " relative error = 3.014283606238241700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.6899999999997006 " " y[1] (closed_form) = 2.497200204228362800E-2 " " y[1] (numeric) = 2.497200204227612600E-2 " " absolute error = 7.500944310123714000000000000000E-15 " " relative error = 3.003741669339448000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.6799999999997017 " " y[1] (closed_form) = 2.522297483523473500E-2 " " y[1] (numeric) = 2.522297483522718500E-2 " " absolute error = 7.552986014403018000000000000000E-15 " " relative error = 2.994486599515622000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.669999999999703 " " y[1] (closed_form) = 2.547646994668858500E-2 " " y[1] (numeric) = 2.54764699466809900E-2 " " absolute error = 7.598088824778415000000000000000E-15 " " relative error = 2.98239467268345400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.659999999999704 " " y[1] (closed_form) = 2.573251272636756000E-2 " " y[1] (numeric) = 2.57325127263599200E-2 " " absolute error = 7.643191635153812000000000000000E-15 " " relative error = 2.97024690764924600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.649999999999705 " " y[1] (closed_form) = 2.59911287787630100E-2 " " y[1] (numeric) = 2.599112877875531000E-2 " " absolute error = 7.69870278638507000000000000000E-15 " " relative error = 2.96205018716831300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.639999999999706 " " y[1] (closed_form) = 2.625234396569568000E-2 " " y[1] (numeric) = 2.625234396568793500E-2 " " absolute error = 7.740336149808513000000000000000E-15 " " relative error = 2.94843620818122900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.6299999999997072 " " y[1] (closed_form) = 2.651618440890194400E-2 " " y[1] (numeric) = 2.651618440889415000E-2 " " absolute error = 7.788908407135864000000000000000E-15 " " relative error = 2.937416744062540400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.6199999999997083 " " y[1] (closed_form) = 2.67826764926459900E-2 " " y[1] (numeric) = 2.67826764926381500E-2 " " absolute error = 7.837480664463214000000000000000E-15 " " relative error = 2.926324658633440700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.6099999999997094 " " y[1] (closed_form) = 2.70518468663582700E-2 " " y[1] (numeric) = 2.705184686635038000E-2 " " absolute error = 7.886052921790565000000000000000E-15 " " relative error = 2.91516248807310700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.5999999999997105 " " y[1] (closed_form) = 2.73237224473004700E-2 " " y[1] (numeric) = 2.732372244729253700E-2 " " absolute error = 7.934625179117916000000000000000E-15 " " relative error = 2.903932725279838600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.5899999999997116 " " y[1] (closed_form) = 2.759833042325724500E-2 " " y[1] (numeric) = 2.759833042324926000E-2 " " absolute error = 7.979727989493313000000000000000E-15 " " relative error = 2.891380698438467000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.5799999999997127 " " y[1] (closed_form) = 2.787569825525502700E-2 " " y[1] (numeric) = 2.787569825524699500E-2 " " absolute error = 8.031769693772617000000000000000E-15 " " relative error = 2.881280181836699500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.569999999999714 " " y[1] (closed_form) = 2.81558536803081570E-2 " " y[1] (numeric) = 2.815585368030008000E-2 " " absolute error = 8.080341951099967000000000000000E-15 " " relative error = 2.869862176031712000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.559999999999715 " " y[1] (closed_form) = 2.843882471419261000E-2 " " y[1] (numeric) = 2.843882471418448500E-2 " " absolute error = 8.125444761475364000000000000000E-15 " " relative error = 2.857166160393505600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.549999999999716 " " y[1] (closed_form) = 2.872463965424758600E-2 " " y[1] (numeric) = 2.872463965423940300E-2 " " absolute error = 8.180955912706622000000000000000E-15 " " relative error = 2.848062155410497300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.539999999999717 " " y[1] (closed_form) = 2.901332708220526500E-2 " " y[1] (numeric) = 2.901332708219703000E-2 " " absolute error = 8.229528170033973000000000000000E-15 " " relative error = 2.836464824153651000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.5299999999997183 " " y[1] (closed_form) = 2.93049158670490100E-2 " " y[1] (numeric) = 2.930491586704072600E-2 " " absolute error = 8.281569874313277000000000000000E-15 " " relative error = 2.826000221903120000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.5199999999997194 " " y[1] (closed_form) = 2.95994351679003060E-2 " " y[1] (numeric) = 2.959943516789197400E-2 " " absolute error = 8.333611578592581000000000000000E-15 " " relative error = 2.81546304222390400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.5099999999997205 " " y[1] (closed_form) = 2.989691443693467400E-2 " " y[1] (numeric) = 2.98969144369262900E-2 " " absolute error = 8.382183835919932000000000000000E-15 " " relative error = 2.80369529558026100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.4999999999997216 " " y[1] (closed_form) = 3.019738342232690700E-2 " " y[1] (numeric) = 3.019738342231848600E-2 " " absolute error = 8.423817199343375000000000000000E-15 " " relative error = 2.789585137735839400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.4899999999997227 " " y[1] (closed_form) = 3.05008721712259460E-2 " " y[1] (numeric) = 3.050087217121746400E-2 " " absolute error = 8.482797797526587000000000000000E-15 " " relative error = 2.781165649921686000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.4799999999997238 " " y[1] (closed_form) = 3.080741103275958500E-2 " " y[1] (numeric) = 3.08074110327510530E-2 " " absolute error = 8.534839501805891000000000000000E-15 " " relative error = 2.770385181906464500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.469999999999725 " " y[1] (closed_form) = 3.11170306610694300E-2 " " y[1] (numeric) = 3.111703066106084000E-2 " " absolute error = 8.586881206085195000000000000000E-15 " " relative error = 2.759543897235753000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.459999999999726 " " y[1] (closed_form) = 3.14297620183763200E-2 " " y[1] (numeric) = 3.14297620183676900E-2 " " absolute error = 8.631984016460592000000000000000E-15 " " relative error = 2.74643632726638300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.449999999999727 " " y[1] (closed_form) = 3.174563637807660000E-2 " " y[1] (numeric) = 3.174563637806792600E-2 " " absolute error = 8.680556273787943000000000000000E-15 " " relative error = 2.73440928082408700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.439999999999728 " " y[1] (closed_form) = 3.206468532786948500E-2 " " y[1] (numeric) = 3.20646853278607500E-2 " " absolute error = 8.7360674250192000000000000000E-15 " " relative error = 2.724513693395307400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.4299999999997293 " " y[1] (closed_form) = 3.23869407729158100E-2 " " y[1] (numeric) = 3.238694077290702500E-2 " " absolute error = 8.784639682346551000000000000000E-15 " " relative error = 2.712401811563774400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.4199999999997304 " " y[1] (closed_form) = 3.27124349390286340E-2 " " y[1] (numeric) = 3.27124349390197900E-2 " " absolute error = 8.840150833577809000000000000000E-15 " " relative error = 2.702382396802501000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.4099999999997315 " " y[1] (closed_form) = 3.304120037589581300E-2 " " y[1] (numeric) = 3.30412003758869140E-2 " " absolute error = 8.902600878712974000000000000000E-15 " " relative error = 2.694393901381255700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3999999999997326 " " y[1] (closed_form) = 3.337326996033501E-2 " " y[1] (numeric) = 3.33732699603260500E-2 " " absolute error = 8.951173136040325000000000000000E-15 " " relative error = 2.682138473898131000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3899999999997337 " " y[1] (closed_form) = 3.37086768995813800E-2 " " y[1] (numeric) = 3.370867689957237600E-2 " " absolute error = 9.006684287271582000000000000000E-15 " " relative error = 2.67191866180408700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3799999999997348 " " y[1] (closed_form) = 3.40474547346083730E-2 " " y[1] (numeric) = 3.40474547345993300E-2 " " absolute error = 9.041378756791119000000000000000E-15 " " relative error = 2.65552266014198900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.369999999999736 " " y[1] (closed_form) = 3.4389637343481800E-2 " " y[1] (numeric) = 3.4389637343472700E-2 " " absolute error = 9.096889908022376000000000000000E-15 " " relative error = 2.645241593321599000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.359999999999737 " " y[1] (closed_form) = 3.473525894474769300E-2 " " y[1] (numeric) = 3.47352589447385500E-2 " " absolute error = 9.145462165349727000000000000000E-15 " " relative error = 2.63290455957076100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.349999999999738 " " y[1] (closed_form) = 3.50843541008542100E-2 " " y[1] (numeric) = 3.50843541008450170E-2 " " absolute error = 9.194034422677078000000000000000E-15 " " relative error = 2.62055114261123770000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.339999999999739 " " y[1] (closed_form) = 3.543695772160787600E-2 " " y[1] (numeric) = 3.543695772159863000E-2 " " absolute error = 9.249545573908335000000000000000E-15 " " relative error = 2.61014098517502700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3299999999997403 " " y[1] (closed_form) = 3.579310506766459300E-2 " " y[1] (numeric) = 3.5793105067655295E-2 " " absolute error = 9.298117831235686000000000000000E-15 " " relative error = 2.59773993165951500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3199999999997414 " " y[1] (closed_form) = 3.615283175405576400E-2 " " y[1] (numeric) = 3.61528317540464200E-2 " " absolute error = 9.346690088563037000000000000000E-15 " " relative error = 2.585327244114007400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.3099999999997425 " " y[1] (closed_form) = 3.651617375374980300E-2 " " y[1] (numeric) = 3.65161737537404100E-2 " " absolute error = 9.395262345890387000000000000000E-15 " " relative error = 2.572904381835897600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.2999999999997436 " " y[1] (closed_form) = 3.688316740124946700E-2 " " y[1] (numeric) = 3.68831674012400250E-2 " " absolute error = 9.443834603217738000000000000000E-15 " " relative error = 2.560472776233913000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.2899999999997447 " " y[1] (closed_form) = 3.72538493962253250E-2 " " y[1] (numeric) = 3.72538493962158200E-2 " " absolute error = 9.499345754448996000000000000000E-15 " " relative error = 2.549896429068481700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.279999999999746 " " y[1] (closed_form) = 3.762825680718578000E-2 " " y[1] (numeric) = 3.76282568071762300E-2 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 2.53743298837936170000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.269999999999747 " " y[1] (closed_form) = 3.80064270751839350E-2 " " y[1] (numeric) = 3.80064270751743200E-2 " " absolute error = 9.617306950815419000000000000000E-15 " " relative error = 2.53044226751190200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.259999999999748 " " y[1] (closed_form) = 3.83883980175617400E-2 " " y[1] (numeric) = 3.83883980175520600E-2 " " absolute error = 9.679756995950584000000000000000E-15 " " relative error = 2.521531893965029400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.249999999999749 " " y[1] (closed_form) = 3.87742078317317400E-2 " " y[1] (numeric) = 3.877420783172200E-2 " " absolute error = 9.735268147181841000000000000000E-15 " " relative error = 2.5107587470077897000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.23999999999975 " " y[1] (closed_form) = 3.916389509899686000E-2 " " y[1] (numeric) = 3.91638950989870560E-2 " " absolute error = 9.797718192317006000000000000000E-15 " " relative error = 2.50172210081523900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.2299999999997513 " " y[1] (closed_form) = 3.955749878840856000E-2 " " y[1] (numeric) = 3.955749878839870400E-2 " " absolute error = 9.860168237452172000000000000000E-15 " " relative error = 2.49261670718712700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.2199999999997524 " " y[1] (closed_form) = 3.9955058260663800E-2 " " y[1] (numeric) = 3.99550582606538860E-2 " " absolute error = 9.908740494779522000000000000000E-15 " " relative error = 2.479971479489691300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.2099999999997535 " " y[1] (closed_form) = 4.0356613272041100E-2 " " y[1] (numeric) = 4.03566132720311330E-2 " " absolute error = 9.96425164601078000000000000000E-15 " " relative error = 2.46905050699930100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.1999999999997546 " " y[1] (closed_form) = 4.07622039783762160E-2 " " y[1] (numeric) = 4.076220397836620700E-2 " " absolute error = 1.00128239033381300000000000000E-14 " " relative error = 2.456399047669207400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.1899999999997557 " " y[1] (closed_form) = 4.117187093907779000E-2 " " y[1] (numeric) = 4.117187093906772300E-2 " " absolute error = 1.006833505456938800000000000000E-14 " " relative error = 2.44544025445614300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.179999999999757 " " y[1] (closed_form) = 4.158565512118328500E-2 " " y[1] (numeric) = 4.15856551211731700E-2 " " absolute error = 1.011690731189673900000000000000E-14 " " relative error = 2.4327877683820098000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.169999999999758 " " y[1] (closed_form) = 4.20035979034557140E-2 " " y[1] (numeric) = 4.20035979034455400E-2 " " absolute error = 1.017935735703190400000000000000E-14 " " relative error = 2.42344891035975500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.159999999999759 " " y[1] (closed_form) = 4.24257410805216100E-2 " " y[1] (numeric) = 4.24257410805113700E-2 " " absolute error = 1.024180740216706900000000000000E-14 " " relative error = 2.41405503859760730000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.14999999999976 " " y[1] (closed_form) = 4.285212686705046600E-2 " " y[1] (numeric) = 4.28521268670401600E-2 " " absolute error = 1.030425744730223400000000000000E-14 " " relative error = 2.40460817248847100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.139999999999761 " " y[1] (closed_form) = 4.328279790197623300E-2 " " y[1] (numeric) = 4.32827979019658800E-2 " " absolute error = 1.035282970462958500000000000000E-14 " " relative error = 2.391903991067289300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.1299999999997623 " " y[1] (closed_form) = 4.37177972527613260E-2 " " y[1] (numeric) = 4.37177972527509230E-2 " " absolute error = 1.040834085586084300000000000000E-14 " " relative error = 2.380801758076552300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.1199999999997634 " " y[1] (closed_form) = 4.41571684197033200E-2 " " y[1] (numeric) = 4.415716841969285500E-2 " " absolute error = 1.0463852007092100000000000000E-14 " " relative error = 2.369683650825544500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.1099999999997645 " " y[1] (closed_form) = 4.460095534028503000E-2 " " y[1] (numeric) = 4.46009553402745060E-2 " " absolute error = 1.052630205222726500000000000000E-14 " " relative error = 2.36010685688599310000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.0999999999997656 " " y[1] (closed_form) = 4.50492023935683600E-2 " " y[1] (numeric) = 4.50492023935577860E-2 " " absolute error = 1.057487430955461600000000000000E-14 " " relative error = 2.347405447308070800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.0899999999997667 " " y[1] (closed_form) = 4.55019544046321800E-2 " " y[1] (numeric) = 4.55019544046215500E-2 " " absolute error = 1.063038546078587400000000000000E-14 " " relative error = 2.336248101840584200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.079999999999768 " " y[1] (closed_form) = 4.59592566490548800E-2 " " y[1] (numeric) = 4.59592566490441830E-2 " " absolute error = 1.069977439982494600000000000000E-14 " " relative error = 2.32809996939865200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.069999999999769 " " y[1] (closed_form) = 4.64211548574419930E-2 " " y[1] (numeric) = 4.64211548574312500E-2 " " absolute error = 1.07414077632483900000000000000E-14 " " relative error = 2.313903606283587400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.05999999999977 " " y[1] (closed_form) = 4.688769521999927600E-2 " " y[1] (numeric) = 4.68876952199884730E-2 " " absolute error = 1.080385780838355500000000000000E-14 " " relative error = 2.304198949786579500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.049999999999771 " " y[1] (closed_form) = 4.73589243911517600E-2 " " y[1] (numeric) = 4.73589243911409100E-2 " " absolute error = 1.085243006571090500000000000000E-14 " " relative error = 2.29152798658968400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.039999999999772 " " y[1] (closed_form) = 4.78348894942092650E-2 " " y[1] (numeric) = 4.78348894941983600E-2 " " absolute error = 1.090100232303825600000000000000E-14 " " relative error = 2.2788810506937401000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.0299999999997733 " " y[1] (closed_form) = 4.83156381260787300E-2 " " y[1] (numeric) = 4.83156381260677600E-2 " " absolute error = 1.097039126207732800000000000000E-14 " " relative error = 2.270567395477692300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.0199999999997744 " " y[1] (closed_form) = 4.88012183620239700E-2 " " y[1] (numeric) = 4.88012183620129440E-2 " " absolute error = 1.102590241330858600000000000000E-14 " " relative error = 2.259349824325021500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.0099999999997755 " " y[1] (closed_form) = 4.929167876047322300E-2 " " y[1] (numeric) = 4.929167876046214000E-2 " " absolute error = 1.108835245844375100000000000000E-14 " " relative error = 2.249538408364263300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.9999999999997766 " " y[1] (closed_form) = 4.97870683678750650E-2 " " y[1] (numeric) = 4.97870683678639200E-2 " " absolute error = 1.115080250357891600000000000000E-14 " " relative error = 2.239698554087577500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.9899999999997777 " " y[1] (closed_form) = 5.02874367236030500E-2 " " y[1] (numeric) = 5.02874367235918400E-2 " " absolute error = 1.121325254871408100000000000000E-14 " " relative error = 2.229831798814076000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.979999999999779 " " y[1] (closed_form) = 5.07928338649097400E-2 " " y[1] (numeric) = 5.07928338648984600E-2 " " absolute error = 1.127570259384924600000000000000E-14 " " relative error = 2.219939652085266300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.96999999999978 " " y[1] (closed_form) = 5.13033103319304100E-2 " " y[1] (numeric) = 5.13033103319190700E-2 " " absolute error = 1.133815263898441100000000000000E-14 " " relative error = 2.210023596065635300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.959999999999781 " " y[1] (closed_form) = 5.18189171727371800E-2 " " y[1] (numeric) = 5.181891717272579000E-2 " " absolute error = 1.139366379021566900000000000000E-14 " " relative error = 2.198746020152283500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.949999999999782 " " y[1] (closed_form) = 5.233970594844379000E-2 " " y[1] (numeric) = 5.23397059484323500E-2 " " absolute error = 1.144917494144692700000000000000E-14 " " relative error = 2.18747406657666600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.9399999999997832 " " y[1] (closed_form) = 5.286572873836183000E-2 " " y[1] (numeric) = 5.28657287383503100E-2 " " absolute error = 1.150468609267818500000000000000E-14 " " relative error = 2.17620873999791300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.9299999999997843 " " y[1] (closed_form) = 5.3397038145208600E-2 " " y[1] (numeric) = 5.33970381451970500E-2 " " absolute error = 1.155325835000553500000000000000E-14 " " relative error = 2.1636515341145798000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.9199999999997854 " " y[1] (closed_form) = 5.393368730036758000E-2 " " y[1] (numeric) = 5.39336873003559800E-2 " " absolute error = 1.160876950123679300000000000000E-14 " " relative error = 2.15241532376327500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.9099999999997865 " " y[1] (closed_form) = 5.447572986920150000E-2 " " y[1] (numeric) = 5.447572986918983000E-2 " " absolute error = 1.167121954637195800000000000000E-14 " " relative error = 2.142462262441465800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8999999999997876 " " y[1] (closed_form) = 5.502322005641892000E-2 " " y[1] (numeric) = 5.50232200564071800E-2 " " absolute error = 1.172673069760321600000000000000E-14 " " relative error = 2.131233084065060300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8899999999997887 " " y[1] (closed_form) = 5.55762126114948100E-2 " " y[1] (numeric) = 5.55762126114830300E-2 " " absolute error = 1.178224184883447400000000000000E-14 " " relative error = 2.120015253863764800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.87999999999979 " " y[1] (closed_form) = 5.61347628341455200E-2 " " y[1] (numeric) = 5.61347628341336800E-2 " " absolute error = 1.184469189396963900000000000000E-14 " " relative error = 2.110045771274689800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.869999999999791 " " y[1] (closed_form) = 5.66989265798587700E-2 " " y[1] (numeric) = 5.66989265798468600E-2 " " absolute error = 1.190020304520089700000000000000E-14 " " relative error = 2.098840976899238600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.859999999999792 " " y[1] (closed_form) = 5.72687602654792600E-2 " " y[1] (numeric) = 5.72687602654673200E-2 " " absolute error = 1.19418364086243400000000000000E-14 " " relative error = 2.08522698121382200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.849999999999793 " " y[1] (closed_form) = 5.784432087485043000E-2 " " y[1] (numeric) = 5.784432087483844000E-2 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 2.072875691961816300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8399999999997942 " " y[1] (closed_form) = 5.84256659645128400E-2 " " y[1] (numeric) = 5.842566596450078000E-2 " " absolute error = 1.205285871108685600000000000000E-14 " " relative error = 2.062939037512664400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8299999999997953 " " y[1] (closed_form) = 5.90128536694599200E-2 " " y[1] (numeric) = 5.901285366944782000E-2 " " absolute error = 1.210836986231811400000000000000E-14 " " relative error = 2.05181907150922700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8199999999997964 " " y[1] (closed_form) = 5.96059427089514900E-2 " " y[1] (numeric) = 5.960594270893933000E-2 " " absolute error = 1.216388101354937100000000000000E-14 " " relative error = 2.04071615357953680000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.8099999999997975 " " y[1] (closed_form) = 6.020499239238574000E-2 " " y[1] (numeric) = 6.020499239237351000E-2 " " absolute error = 1.221939216478062900000000000000E-14 " " relative error = 2.029631045402481300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7999999999997986 " " y[1] (closed_form) = 6.081006262523021000E-2 " " y[1] (numeric) = 6.081006262521792000E-2 " " absolute error = 1.228184220991579400000000000000E-14 " " relative error = 2.019705568403745700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7899999999997998 " " y[1] (closed_form) = 6.14212139150124300E-2 " " y[1] (numeric) = 6.142121391500008000E-2 " " absolute error = 1.23442922550509590000000000000E-14 " " relative error = 2.009776666435079400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.779999999999801 " " y[1] (closed_form) = 6.20385073773706700E-2 " " y[1] (numeric) = 6.20385073773582700E-2 " " absolute error = 1.239980340628221700000000000000E-14 " " relative error = 1.998726908572465700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.769999999999802 " " y[1] (closed_form) = 6.26620047421655600E-2 " " y[1] (numeric) = 6.26620047421531100E-2 " " absolute error = 1.244837566360956800000000000000E-14 " " relative error = 1.986590712319326300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.759999999999803 " " y[1] (closed_form) = 6.32917683596531800E-2 " " y[1] (numeric) = 6.32917683596406800E-2 " " absolute error = 1.250388681484082600000000000000E-14 " " relative error = 1.97559447917270120000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.749999999999804 " " y[1] (closed_form) = 6.39278612067200900E-2 " " y[1] (numeric) = 6.39278612067075300E-2 " " absolute error = 1.255939796607208300000000000000E-14 " " relative error = 1.964620390702487800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7399999999998053 " " y[1] (closed_form) = 6.45703468931810600E-2 " " y[1] (numeric) = 6.45703468931684400E-2 " " absolute error = 1.261490911730334000000000000000E-14 " " relative error = 1.953669094913215700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7299999999998064 " " y[1] (closed_form) = 6.52192896681401600E-2 " " y[1] (numeric) = 6.5219289668127500E-2 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 1.940613359196021700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7199999999998075 " " y[1] (closed_form) = 6.58747544264156500E-2 " " y[1] (numeric) = 6.58747544264029500E-2 " " absolute error = 1.269817584415022800000000000000E-14 " " relative error = 1.927624012372528300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.7099999999998086 " " y[1] (closed_form) = 6.6536806715029600E-2 " " y[1] (numeric) = 6.65368067150168300E-2 " " absolute error = 1.2767564783189300000000000000E-14 " " relative error = 1.918872487805356700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6999999999998097 " " y[1] (closed_form) = 6.72055127397625500E-2 " " y[1] (numeric) = 6.72055127397497200E-2 " " absolute error = 1.283695372222837200000000000000E-14 " " relative error = 1.91010427551329600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6899999999998108 " " y[1] (closed_form) = 6.78809393717742800E-2 " " y[1] (numeric) = 6.78809393717614200E-2 " " absolute error = 1.286470929784400100000000000000E-14 " " relative error = 1.895187281865062800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.679999999999812 " " y[1] (closed_form) = 6.85631541542908200E-2 " " y[1] (numeric) = 6.85631541542778800E-2 " " absolute error = 1.293409823688307400000000000000E-14 " " relative error = 1.88645029482991400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.669999999999813 " " y[1] (closed_form) = 6.92522253093589400E-2 " " y[1] (numeric) = 6.92522253093459600E-2 " " absolute error = 1.297573160030651700000000000000E-14 " " relative error = 1.873691645624698800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.659999999999814 " " y[1] (closed_form) = 6.99482217446683700E-2 " " y[1] (numeric) = 6.99482217446553400E-2 " " absolute error = 1.303124275153777500000000000000E-14 " " relative error = 1.862984136909963400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.649999999999815 " " y[1] (closed_form) = 7.06512130604426400E-2 " " y[1] (numeric) = 7.06512130604295900E-2 " " absolute error = 1.305899832715340400000000000000E-14 " " relative error = 1.848375669923931000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6399999999998163 " " y[1] (closed_form) = 7.13612695563991700E-2 " " y[1] (numeric) = 7.13612695563860500E-2 " " absolute error = 1.311450947838466200000000000000E-14 " " relative error = 1.837762915361228800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6299999999998174 " " y[1] (closed_form) = 7.20784622387792500E-2 " " y[1] (numeric) = 7.2078462238766110E-2 " " absolute error = 1.315614284180810500000000000000E-14 " " relative error = 1.82525298586765780000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6199999999998185 " " y[1] (closed_form) = 7.28028628274488100E-2 " " y[1] (numeric) = 7.28028628274355900E-2 " " absolute error = 1.322553178084717700000000000000E-14 " " relative error = 1.816622488073472400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.6099999999998196 " " y[1] (closed_form) = 7.35345437630703500E-2 " " y[1] (numeric) = 7.35345437630570800E-2 " " absolute error = 1.32671651442706200000000000000E-14 " " relative error = 1.804208534565424000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.5999999999998207 " " y[1] (closed_form) = 7.4273578214347200E-2 " " y[1] (numeric) = 7.42735782143338800E-2 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 1.793730235677318800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.589999999999822 " " y[1] (closed_form) = 7.50200400853403300E-2 " " y[1] (numeric) = 7.50200400853269700E-2 " " absolute error = 1.336430965892532200000000000000E-14 " " relative error = 1.781431953878260300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.579999999999823 " " y[1] (closed_form) = 7.5774004022858900E-2 " " y[1] (numeric) = 7.57740040228454900E-2 " " absolute error = 1.34198208101565800000000000000E-14 " " relative error = 1.771032293094633700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.569999999999824 " " y[1] (closed_form) = 7.65355454239249800E-2 " " y[1] (numeric) = 7.6535545423911500E-2 " " absolute error = 1.347533196138783800000000000000E-14 " " relative error = 1.760663216907768500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.559999999999825 " " y[1] (closed_form) = 7.73047404433132700E-2 " " y[1] (numeric) = 7.73047404432997600E-2 " " absolute error = 1.351696532481128000000000000000E-14 " " relative error = 1.748529941022585200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.549999999999826 " " y[1] (closed_form) = 7.80816660011667300E-2 " " y[1] (numeric) = 7.80816660011531600E-2 " " absolute error = 1.357247647604254000000000000000E-14 " " relative error = 1.73824114816399200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.5399999999998273 " " y[1] (closed_form) = 7.88663997906885700E-2 " " y[1] (numeric) = 7.88663997906749600E-2 " " absolute error = 1.361410983946598200000000000000E-14 " " relative error = 1.726224333251908400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.5299999999998284 " " y[1] (closed_form) = 7.9659020285911700E-2 " " y[1] (numeric) = 7.96590202858980400E-2 " " absolute error = 1.365574320288942500000000000000E-14 " " relative error = 1.714274560982084700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.5199999999998295 " " y[1] (closed_form) = 8.04596067495461500E-2 " " y[1] (numeric) = 8.04596067495324400E-2 " " absolute error = 1.371125435412068300000000000000E-14 " " relative error = 1.704116501190583400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.5099999999998306 " " y[1] (closed_form) = 8.12682392409054500E-2 " " y[1] (numeric) = 8.12682392408916800E-2 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 1.69399086702774200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4999999999998317 " " y[1] (closed_form) = 8.20849986239126100E-2 " " y[1] (numeric) = 8.2084998623898800E-2 " " absolute error = 1.380839886877538400000000000000E-14 " " relative error = 1.682207358258124800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.489999999999833 " " y[1] (closed_form) = 8.29099665751865600E-2 " " y[1] (numeric) = 8.2909966575172700E-2 " " absolute error = 1.385003223219882800000000000000E-14 " " relative error = 1.670490630295814200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.479999999999834 " " y[1] (closed_form) = 8.37432255922098700E-2 " " y[1] (numeric) = 8.37432255921959600E-2 " " absolute error = 1.390554338343008600000000000000E-14 " " relative error = 1.660497704153831300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.469999999999835 " " y[1] (closed_form) = 8.45848590015786600E-2 " " y[1] (numeric) = 8.4584859001564700E-2 " " absolute error = 1.396105453466134300000000000000E-14 " " relative error = 1.65053825228942900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.459999999999836 " " y[1] (closed_form) = 8.54349509673352300E-2 " " y[1] (numeric) = 8.54349509673212200E-2 " " absolute error = 1.401656568589260000000000000000E-14 " " relative error = 1.640612597911084700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.449999999999837 " " y[1] (closed_form) = 8.62935864993845600E-2 " " y[1] (numeric) = 8.62935864993705100E-2 " " absolute error = 1.40443212615082300000000000000E-14 " " relative error = 1.62750464214491690000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4399999999998383 " " y[1] (closed_form) = 8.71608514619953800E-2 " " y[1] (numeric) = 8.71608514619812800E-2 " " absolute error = 1.409983241273948800000000000000E-14 " " relative error = 1.617679517379131700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4299999999998394 " " y[1] (closed_form) = 8.8036832582386700E-2 " " y[1] (numeric) = 8.80368325823725600E-2 " " absolute error = 1.414146577616293100000000000000E-14 " " relative error = 1.60631242189785200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4199999999998405 " " y[1] (closed_form) = 8.89216174594005100E-2 " " y[1] (numeric) = 8.8921617459386300E-2 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.59813272871361600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.4099999999998416 " " y[1] (closed_form) = 8.98152945722618700E-2 " " y[1] (numeric) = 8.9815294572247600E-2 " " absolute error = 1.42663658664332620000000000000E-14 " " relative error = 1.588411632381287000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.3999999999998427 " " y[1] (closed_form) = 9.07179532894267800E-2 " " y[1] (numeric) = 9.07179532894124700E-2 " " absolute error = 1.430799922985670500000000000000E-14 " " relative error = 1.577195991647698200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.389999999999844 " " y[1] (closed_form) = 9.16296838775191500E-2 " " y[1] (numeric) = 9.16296838775048200E-2 " " absolute error = 1.433575480547233400000000000000E-14 " " relative error = 1.564531732384327700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.379999999999845 " " y[1] (closed_form) = 9.25505775103576200E-2 " " y[1] (numeric) = 9.25505775103432500E-2 " " absolute error = 1.437738816889577700000000000000E-14 " " relative error = 1.55346282601929310000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.369999999999846 " " y[1] (closed_form) = 9.34807262780728700E-2 " " y[1] (numeric) = 9.34807262780584300E-2 " " absolute error = 1.443289932012703500000000000000E-14 " " relative error = 1.543943858244548300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.359999999999847 " " y[1] (closed_form) = 9.44202231963167800E-2 " " y[1] (numeric) = 9.4420223196302300E-2 " " absolute error = 1.447453268355047800000000000000E-14 " " relative error = 1.532990729481257500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.349999999999848 " " y[1] (closed_form) = 9.5369162215564110E-2 " " y[1] (numeric) = 9.53691622155495900E-2 " " absolute error = 1.451616604697392200000000000000E-14 " " relative error = 1.522102712212449700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.3399999999998493 " " y[1] (closed_form) = 9.63276382305075400E-2 " " y[1] (numeric) = 9.63276382304929700E-2 " " absolute error = 1.455779941039736500000000000000E-14 " " relative error = 1.511279595121104400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.3299999999998504 " " y[1] (closed_form) = 9.72957470895473400E-2 " " y[1] (numeric) = 9.72957470895327600E-2 " " absolute error = 1.45716771982051800000000000000E-14 " " relative error = 1.497668462815127700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.3199999999998515 " " y[1] (closed_form) = 9.82735856043761300E-2 " " y[1] (numeric) = 9.82735856043615500E-2 " " absolute error = 1.458555498601299400000000000000E-14 " " relative error = 1.48417857110970200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.3099999999998526 " " y[1] (closed_form) = 9.92612515596602800E-2 " " y[1] (numeric) = 9.92612515596456600E-2 " " absolute error = 1.462718834943643700000000000000E-14 " " relative error = 1.473605069410682300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.2999999999998537 " " y[1] (closed_form) = 0.1002588437228184 " " y[1] (numeric) = 0.10025884372280373 " " absolute error = 1.46688217128598800000000000000E-14 " " relative error = 1.463095041611908200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.289999999999855 " " y[1] (closed_form) = 0.10126646185389811 " " y[1] (numeric) = 0.1012664618538834 " " absolute error = 1.471045507628332400000000000000E-14 " " relative error = 1.452648271399744300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.279999999999856 " " y[1] (closed_form) = 0.1022842067155522 " " y[1] (numeric) = 0.10228420671553744 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 1.443621327442864700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.269999999999857 " " y[1] (closed_form) = 0.10331218008311498 " " y[1] (numeric) = 0.10331218008310017 " " absolute error = 1.480759959093802500000000000000E-14 " " relative error = 1.43328691534969700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.259999999999858 " " y[1] (closed_form) = 0.10435048475477982 " " y[1] (numeric) = 0.10435048475476497 " " absolute error = 1.48492329543614700000000000000E-14 " " relative error = 1.42301523459681800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.2499999999998592 " " y[1] (closed_form) = 0.10539922456187917 " " y[1] (numeric) = 0.1053992245618643 " " absolute error = 1.486311074216928300000000000000E-14 " " relative error = 1.410172684282250000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.2399999999998603 " " y[1] (closed_form) = 0.1064585043792677 " " y[1] (numeric) = 0.10645850437925279 " " absolute error = 1.490474410559272700000000000000E-14 " " relative error = 1.400051991383729800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.2299999999998614 " " y[1] (closed_form) = 0.10752843013580986 " " y[1] (numeric) = 0.10752843013579491 " " absolute error = 1.49463774690161700000000000000E-14 " " relative error = 1.389993088352419200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.2199999999998625 " " y[1] (closed_form) = 0.10860910882497292 " " y[1] (numeric) = 0.10860910882495796 " " absolute error = 1.496025525682398400000000000000E-14 " " relative error = 1.377440199876137400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.2099999999998636 " " y[1] (closed_form) = 0.10970064851552636 " " y[1] (numeric) = 0.10970064851551137 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 1.366264560443168400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.1999999999998647 " " y[1] (closed_form) = 0.11080315836234887 " " y[1] (numeric) = 0.11080315836233386 " " absolute error = 1.501576640805524200000000000000E-14 " " relative error = 1.355174945370296300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.189999999999866 " " y[1] (closed_form) = 0.11191674861734388 " " y[1] (numeric) = 0.11191674861732884 " " absolute error = 1.50435219836708700000000000000E-14 " " relative error = 1.344170749197368700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.179999999999867 " " y[1] (closed_form) = 0.1130415306404649 " " y[1] (numeric) = 0.11304153064044982 " " absolute error = 1.508515534709431400000000000000E-14 " " relative error = 1.334479041607594700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.169999999999868 " " y[1] (closed_form) = 0.11417761691085156 " " y[1] (numeric) = 0.11417761691083644 " " absolute error = 1.511291092270994300000000000000E-14 " " relative error = 1.323631665434908700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.159999999999869 " " y[1] (closed_form) = 0.11532512103807761 " " y[1] (numeric) = 0.11532512103806246 " " absolute error = 1.515454428613338700000000000000E-14 " " relative error = 1.31407139656326200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.1499999999998702 " " y[1] (closed_form) = 0.11648415777351208 " " y[1] (numeric) = 0.11648415777349691 " " absolute error = 1.5168422073941200000000000000E-14 " " relative error = 1.302187556133957400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.1399999999998713 " " y[1] (closed_form) = 0.11765484302179434 " " y[1] (numeric) = 0.11765484302177916 " " absolute error = 1.518229986174901600000000000000E-14 " " relative error = 1.290410107379655600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.1299999999998724 " " y[1] (closed_form) = 0.1188372938524248 " " y[1] (numeric) = 0.1188372938524096 " " absolute error = 1.51961776495568300000000000000E-14 " " relative error = 1.278738109639877600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.1199999999998735 " " y[1] (closed_form) = 0.12003162851147191 " " y[1] (numeric) = 0.1200316285114567 " " absolute error = 1.521005543736464500000000000000E-14 " " relative error = 1.267170630440205800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.1099999999998746 " " y[1] (closed_form) = 0.12123796643339686 " " y[1] (numeric) = 0.12123796643338162 " " absolute error = 1.523781101298027400000000000000E-14 " " relative error = 1.256851418845869300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.0999999999998757 " " y[1] (closed_form) = 0.12245642825299713 " " y[1] (numeric) = 0.12245642825298186 " " absolute error = 1.526556658859590200000000000000E-14 " " relative error = 1.246612105740743500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.089999999999877 " " y[1] (closed_form) = 0.12368713581747005 " " y[1] (numeric) = 0.12368713581745479 " " absolute error = 1.526556658859590200000000000000E-14 " " relative error = 1.234208108038324800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.079999999999878 " " y[1] (closed_form) = 0.12493021219859768 " " y[1] (numeric) = 0.1249302121985824 " " absolute error = 1.527944437640371700000000000000E-14 " " relative error = 1.223038375386288300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.069999999999879 " " y[1] (closed_form) = 0.126185781705054 " " y[1] (numeric) = 0.12618578170503875 " " absolute error = 1.526556658859590200000000000000E-14 " " relative error = 1.209769150083609100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.05999999999988 " " y[1] (closed_form) = 0.127453969894836 " " y[1] (numeric) = 0.1274539698948208 " " absolute error = 1.521005543736464500000000000000E-14 " " relative error = 1.193376357748186800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.0499999999998813 " " y[1] (closed_form) = 0.1287349035878195 " " y[1] (numeric) = 0.12873490358780426 " " absolute error = 1.523781101298027400000000000000E-14 " " relative error = 1.183658090254089300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.0399999999998824 " " y[1] (closed_form) = 0.13002871087844123 " " y[1] (numeric) = 0.130028710878426 " " absolute error = 1.523781101298027400000000000000E-14 " " relative error = 1.171880495471919900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.0299999999998835 " " y[1] (closed_form) = 0.13133552114850838 " " y[1] (numeric) = 0.13133552114849315 " " absolute error = 1.523781101298027400000000000000E-14 " " relative error = 1.160220089715868600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.0199999999998846 " " y[1] (closed_form) = 0.13265546508013704 " " y[1] (numeric) = 0.1326554650801218 " " absolute error = 1.523781101298027400000000000000E-14 " " relative error = 1.148675706935641700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.0099999999998857 " " y[1] (closed_form) = 0.13398867466882028 " " y[1] (numeric) = 0.13398867466880507 " " absolute error = 1.521005543736464500000000000000E-14 " " relative error = 1.13517470599357210000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9999999999998868 " " y[1] (closed_form) = 0.13533528323662802 " " y[1] (numeric) = 0.13533528323661276 " " absolute error = 1.526556658859590200000000000000E-14 " " relative error = 1.127981279050837300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9899999999998879 " " y[1] (closed_form) = 0.1366954254455392 " " y[1] (numeric) = 0.13669542544552396 " " absolute error = 1.523781101298027400000000000000E-14 " " relative error = 1.114727209291372200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.979999999999889 " " y[1] (closed_form) = 0.13806923731090814 " " y[1] (numeric) = 0.13806923731089293 " " absolute error = 1.521005543736464500000000000000E-14 " " relative error = 1.101625223228706600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.96999999999989 " " y[1] (closed_form) = 0.13945685621506626 " " y[1] (numeric) = 0.13945685621505108 " " absolute error = 1.518229986174901600000000000000E-14 " " relative error = 1.088673606576597400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9599999999998912 " " y[1] (closed_form) = 0.14085842092106032 " " y[1] (numeric) = 0.14085842092104517 " " absolute error = 1.515454428613338700000000000000E-14 " " relative error = 1.075870664106498400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9499999999998923 " " y[1] (closed_form) = 0.1422740715865289 " " y[1] (numeric) = 0.14227407158651378 " " absolute error = 1.512678871051775800000000000000E-14 " " relative error = 1.063214719438030400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9399999999998934 " " y[1] (closed_form) = 0.14370394977771825 " " y[1] (numeric) = 0.1437039497777031 " " absolute error = 1.515454428613338700000000000000E-14 " " relative error = 1.054566997606849900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9299999999998945 " " y[1] (closed_form) = 0.14514819848363905 " " y[1] (numeric) = 0.14514819848362387 " " absolute error = 1.518229986174901600000000000000E-14 " " relative error = 1.045986103882670500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9199999999998956 " " y[1] (closed_form) = 0.14660696213036545 " " y[1] (numeric) = 0.14660696213035027 " " absolute error = 1.518229986174901600000000000000E-14 " " relative error = 1.035578368252979100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9099999999998967 " " y[1] (closed_form) = 0.14808038659547776 " " y[1] (numeric) = 0.14808038659546258 " " absolute error = 1.518229986174901600000000000000E-14 " " relative error = 1.02527419132309800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8999999999998978 " " y[1] (closed_form) = 0.14956861922265036 " " y[1] (numeric) = 0.1495686192226352 " " absolute error = 1.515454428613338700000000000000E-14 " " relative error = 1.01321683417923900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8899999999998989 " " y[1] (closed_form) = 0.15107180883638613 " " y[1] (numeric) = 0.151071808836371 " " absolute error = 1.512678871051775800000000000000E-14 " " relative error = 1.001297914351471200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8799999999999 " " y[1] (closed_form) = 0.15259010575689913 " " y[1] (numeric) = 0.152590105756884 " " absolute error = 1.512678871051775800000000000000E-14 " " relative error = 9.913348336370639000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.869999999999901 " " y[1] (closed_form) = 0.15412366181514667 " " y[1] (numeric) = 0.15412366181513157 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 9.796700232188653000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8599999999999022 " " y[1] (closed_form) = 0.15567263036801254 " " y[1] (numeric) = 0.1556726303679975 " " absolute error = 1.50435219836708700000000000000E-14 " " relative error = 9.663562533829967000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8499999999999033 " " y[1] (closed_form) = 0.15723716631364282 " " y[1] (numeric) = 0.15723716631362783 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 9.532104389710796000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8399999999999044 " " y[1] (closed_form) = 0.1588174261069359 " " y[1] (numeric) = 0.15881742610692096 " " absolute error = 1.493249968120835500000000000000E-14 " " relative error = 9.402305557548777000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8299999999999055 " " y[1] (closed_form) = 0.16041356777518792 " " y[1] (numeric) = 0.16041356777517304 " " absolute error = 1.487698852997709800000000000000E-14 " " relative error = 9.274146031604071000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8199999999999066 " " y[1] (closed_form) = 0.1620257509338959 " " y[1] (numeric) = 0.16202575093388108 " " absolute error = 1.48214773787458400000000000000E-14 " " relative error = 9.14760603997618900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8099999999999077 " " y[1] (closed_form) = 0.16365413680271917 " " y[1] (numeric) = 0.16365413680270438 " " absolute error = 1.47937218031302100000000000000E-14 " " relative error = 9.039625940506263000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7999999999999088 " " y[1] (closed_form) = 0.1652988882216016 " " y[1] (numeric) = 0.16529888822158684 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 8.932889014788264000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7899999999999099 " " y[1] (closed_form) = 0.16696016966705574 " " y[1] (numeric) = 0.16696016966704097 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 8.8440052839909000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.779999999999911 " " y[1] (closed_form) = 0.1686381472686105 " " y[1] (numeric) = 0.1686381472685958 " " absolute error = 1.471045507628332400000000000000E-14 " " relative error = 8.723088645448761000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.769999999999912 " " y[1] (closed_form) = 0.17033298882542441 " " y[1] (numeric) = 0.17033298882540973 " " absolute error = 1.468269950066769500000000000000E-14 " " relative error = 8.619997571765800000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7599999999999132 " " y[1] (closed_form) = 0.17204486382306547 " " y[1] (numeric) = 0.1720448638230508 " " absolute error = 1.468269950066769500000000000000E-14 " " relative error = 8.53422716284497100000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7499999999999143 " " y[1] (closed_form) = 0.17377394345046002 " " y[1] (numeric) = 0.1737739434504454 " " absolute error = 1.462718834943643700000000000000E-14 " " relative error = 8.417365721809956000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7399999999999154 " " y[1] (closed_form) = 0.1755204006170117 " " y[1] (numeric) = 0.17552040061699717 " " absolute error = 1.45439216225895500000000000000E-14 " " relative error = 8.286171619631052000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7299999999999165 " " y[1] (closed_form) = 0.17728440996989261 " " y[1] (numeric) = 0.17728440996987813 " " absolute error = 1.448841047135829300000000000000E-14 " " relative error = 8.172410915217414000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7199999999999176 " " y[1] (closed_form) = 0.179066147911508 " " y[1] (numeric) = 0.17906614791149358 " " absolute error = 1.440514374451140600000000000000E-14 " " relative error = 8.044593527320546000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7099999999999187 " " y[1] (closed_form) = 0.18086579261713678 " " y[1] (numeric) = 0.1808657926171224 " " absolute error = 1.437738816889577700000000000000E-14 " " relative error = 7.949202533466541000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6999999999999198 " " y[1] (closed_form) = 0.1826835240527493 " " y[1] (numeric) = 0.18268352405273494 " " absolute error = 1.434963259328014800000000000000E-14 " " relative error = 7.854913390622318000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.689999999999921 " " y[1] (closed_form) = 0.18451952399300386 " " y[1] (numeric) = 0.18451952399298954 " " absolute error = 1.43218770176645200000000000000E-14 " " relative error = 7.761713615848879000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.679999999999922 " " y[1] (closed_form) = 0.18637397603942452 " " y[1] (numeric) = 0.18637397603941022 " " absolute error = 1.42941214420488900000000000000E-14 " " relative error = 7.669590865532209000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.669999999999923 " " y[1] (closed_form) = 0.18824706563876126 " " y[1] (numeric) = 0.1882470656387471 " " absolute error = 1.415534356397074600000000000000E-14 " " relative error = 7.519556023855531000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6599999999999242 " " y[1] (closed_form) = 0.19013898010153493 " " y[1] (numeric) = 0.19013898010152086 " " absolute error = 1.407207683712386000000000000000E-14 " " relative error = 7.400942631336992000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6499999999999253 " " y[1] (closed_form) = 0.19204990862076846 " " y[1] (numeric) = 0.19204990862075444 " " absolute error = 1.401656568589260000000000000000E-14 " " relative error = 7.29839747727785900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6399999999999264 " " y[1] (closed_form) = 0.19398004229090618 " " y[1] (numeric) = 0.19398004229089222 " " absolute error = 1.396105453466134300000000000000E-14 " " relative error = 7.197160269572661000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6299999999999275 " " y[1] (closed_form) = 0.19592957412692355 " " y[1] (numeric) = 0.19592957412690967 " " absolute error = 1.387778780781445700000000000000E-14 " " relative error = 7.083049034151628000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6199999999999286 " " y[1] (closed_form) = 0.1978986990836288 " " y[1] (numeric) = 0.19789869908361502 " " absolute error = 1.37945210809675700000000000000E-14 " " relative error = 6.970496089586838000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6099999999999297 " " y[1] (closed_form) = 0.19988761407515857 " " y[1] (numeric) = 0.19988761407514483 " " absolute error = 1.373900992973631200000000000000E-14 " " relative error = 6.873367313579715000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5999999999999308 " " y[1] (closed_form) = 0.20189651799466937 " " y[1] (numeric) = 0.20189651799465572 " " absolute error = 1.365574320288942500000000000000E-14 " " relative error = 6.763733886311983000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.589999999999932 " " y[1] (closed_form) = 0.20392561173422732 " " y[1] (numeric) = 0.20392561173421378 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 6.641991059994713000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.579999999999933 " " y[1] (closed_form) = 0.20597509820489726 " " y[1] (numeric) = 0.20597509820488386 " " absolute error = 1.340594302234876500000000000000E-14 " " relative error = 6.5085260981465700000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5699999999999341 " " y[1] (closed_form) = 0.20804518235703418 " " y[1] (numeric) = 0.20804518235702082 " " absolute error = 1.335043187111750700000000000000E-14 " " relative error = 6.4170829239421300000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5599999999999352 " " y[1] (closed_form) = 0.21013607120077835 " " y[1] (numeric) = 0.2101360712007651 " " absolute error = 1.323940956865499200000000000000E-14 " " relative error = 6.300398352839269000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5499999999999363 " " y[1] (closed_form) = 0.2122479738267566 " " y[1] (numeric) = 0.21224797382674343 " " absolute error = 1.315614284180810500000000000000E-14 " " relative error = 6.1984774717079550000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5399999999999374 " " y[1] (closed_form) = 0.21438110142699138 " " y[1] (numeric) = 0.21438110142697833 " " absolute error = 1.30451205393455900000000000000E-14 " " relative error = 6.085014235169499000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5299999999999385 " " y[1] (closed_form) = 0.21653566731602036 " " y[1] (numeric) = 0.21653566731600746 " " absolute error = 1.290634266126744500000000000000E-14 " " relative error = 5.960377253892052000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5199999999999396 " " y[1] (closed_form) = 0.21871188695222796 " " y[1] (numeric) = 0.21871188695221513 " " absolute error = 1.282307593442055800000000000000E-14 " " relative error = 5.8629990866575220000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5099999999999407 " " y[1] (closed_form) = 0.2209099779593913 " " y[1] (numeric) = 0.22090997795937858 " " absolute error = 1.271205363195804200000000000000E-14 " " relative error = 5.7544044634755400000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4999999999999418 " " y[1] (closed_form) = 0.2231301601484428 " " y[1] (numeric) = 0.22313016014843023 " " absolute error = 1.257327575387989800000000000000E-14 " " relative error = 5.634951252450685000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.489999999999943 " " y[1] (closed_form) = 0.2253726555394516 " " y[1] (numeric) = 0.2253726555394392 " " absolute error = 1.240674230018612400000000000000E-14 " " relative error = 5.504990066558593000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.479999999999944 " " y[1] (closed_form) = 0.22763768838382548 " " y[1] (numeric) = 0.22763768838381324 " " absolute error = 1.224020884649235100000000000000E-14 " " relative error = 5.377057258573912000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4699999999999451 " " y[1] (closed_form) = 0.22992548518673644 " " y[1] (numeric) = 0.22992548518672432 " " absolute error = 1.212918654402983500000000000000E-14 " " relative error = 5.2752684349797010000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4599999999999462 " " y[1] (closed_form) = 0.23223627472977132 " " y[1] (numeric) = 0.23223627472975933 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 5.1630214443904830000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4499999999999473 " " y[1] (closed_form) = 0.23457028809381 " " y[1] (numeric) = 0.23457028809379812 " " absolute error = 1.187938636348917500000000000000E-14 " " relative error = 5.064318443748655000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4399999999999484 " " y[1] (closed_form) = 0.23692775868213398 " " y[1] (numeric) = 0.2369277586821222 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 4.967068496526523000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4299999999999495 " " y[1] (closed_form) = 0.2393089222437666 " " y[1] (numeric) = 0.23930892224375502 " " absolute error = 1.157407503171725700000000000000E-14 " " relative error = 4.836457798229348300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4199999999999506 " " y[1] (closed_form) = 0.24171401689704838 " " y[1] (numeric) = 0.2417140168970369 " " absolute error = 1.14908083048703700000000000000E-14 " " relative error = 4.753885791308732300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4099999999999517 " " y[1] (closed_form) = 0.24414328315344885 " " y[1] (numeric) = 0.24414328315343756 " " absolute error = 1.129651927556096800000000000000E-14 " " relative error = 4.627003917392592000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3999999999999528 " " y[1] (closed_form) = 0.24659696394161812 " " y[1] (numeric) = 0.246596963941607 " " absolute error = 1.112998582186719400000000000000E-14 " " relative error = 4.513431813581541000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.389999999999954 " " y[1] (closed_form) = 0.24907530463167965 " " y[1] (numeric) = 0.2490753046316687 " " absolute error = 1.096345236817342100000000000000E-14 " " relative error = 4.401661732135844000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.379999999999955 " " y[1] (closed_form) = 0.25157855305976784 " " y[1] (numeric) = 0.251578553059757 " " absolute error = 1.082467449009527600000000000000E-14 " " relative error = 4.302701624777866000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3699999999999561 " " y[1] (closed_form) = 0.25410695955281143 " " y[1] (numeric) = 0.2541069595528008 " " absolute error = 1.060262988517024500000000000000E-14 " " relative error = 4.172506689241891600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3599999999999572 " " y[1] (closed_form) = 0.25666077695356687 " " y[1] (numeric) = 0.2566607769535564 " " absolute error = 1.04916075827077300000000000000E-14 " " relative error = 4.087733118880798600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3499999999999583 " " y[1] (closed_form) = 0.25924026064590233 " " y[1] (numeric) = 0.259240260645892 " " absolute error = 1.032507412901395600000000000000E-14 " " relative error = 3.982820455159559000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3399999999999594 " " y[1] (closed_form) = 0.2618456685803366 " " y[1] (numeric) = 0.26184566858032654 " " absolute error = 1.004751837285766700000000000000E-14 " " relative error = 3.837190978690944700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3299999999999605 " " y[1] (closed_form) = 0.2644772612998344 " " y[1] (numeric) = 0.26447726129982463 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 3.694065254867146500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3199999999999616 " " y[1] (closed_form) = 0.2671353019658606 " " y[1] (numeric) = 0.26713530196585106 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 3.574188039361624000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3099999999999627 " " y[1] (closed_form) = 0.2698200563846969 " " y[1] (numeric) = 0.2698200563846876 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 3.4563306863871224000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2999999999999639 " " y[1] (closed_form) = 0.2725317930340225 " " y[1] (numeric) = 0.2725317930340133 " " absolute error = 9.159339953157541000000000000000E-15 " " relative error = 3.3608335567711556000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.289999999999965 " " y[1] (closed_form) = 0.275270783089762 " " y[1] (numeric) = 0.27527078308975306 " " absolute error = 8.93729534823251000000000000000E-15 " " relative error = 3.2467286385850040000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.279999999999966 " " y[1] (closed_form) = 0.2780373004532036 " " y[1] (numeric) = 0.2780373004531948 " " absolute error = 8.770761894538737000000000000000E-15 " " relative error = 3.154527065340624300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2699999999999672 " " y[1] (closed_form) = 0.280831621778389 " " y[1] (numeric) = 0.2808316217783805 " " absolute error = 8.493206138382448000000000000000E-15 " " relative error = 3.0243054840471784000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2599999999999683 " " y[1] (closed_form) = 0.2836540264997794 " " y[1] (numeric) = 0.2836540264997711 " " absolute error = 8.271161533457416000000000000000E-15 " " relative error = 2.915933059551985000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2499999999999694 " " y[1] (closed_form) = 0.28650479686019886 " " y[1] (numeric) = 0.2865047968601908 " " absolute error = 8.049116928532385000000000000000E-15 " " relative error = 2.809417858528904000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2399999999999705 " " y[1] (closed_form) = 0.28938421793905916 " " y[1] (numeric) = 0.28938421793905134 " " absolute error = 7.827072323607354000000000000000E-15 " " relative error = 2.7047336511128056000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2299999999999716 " " y[1] (closed_form) = 0.2922925776808677 " " y[1] (numeric) = 0.29229257768086014 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 2.582862906527108000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2199999999999727 " " y[1] (closed_form) = 0.29523016692402226 " " y[1] (numeric) = 0.295230166924015 " " absolute error = 7.271960811294775000000000000000E-15 " " relative error = 2.4631496459392040000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2099999999999738 " " y[1] (closed_form) = 0.2981972794298952 " " y[1] (numeric) = 0.2981972794298881 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 2.3827941593516297000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1999999999999749 " " y[1] (closed_form) = 0.3011942119122097 " " y[1] (numeric) = 0.30119421191220286 " " absolute error = 6.827871601444713000000000000000E-15 " " relative error = 2.266933205022831000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.189999999999976 " " y[1] (closed_form) = 0.30422126406671135 " " y[1] (numeric) = 0.30422126406670486 " " absolute error = 6.494804694057166000000000000000E-15 " " relative error = 2.134895045545846200000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.179999999999977 " " y[1] (closed_form) = 0.3072787386011383 " " y[1] (numeric) = 0.307278738601132 " " absolute error = 6.328271240363392000000000000000E-15 " " relative error = 2.059456267352677000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1699999999999782 " " y[1] (closed_form) = 0.3103669412654918 " " y[1] (numeric) = 0.31036694126548564 " " absolute error = 6.161737786669619000000000000000E-15 " " relative error = 1.985307378919197000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1599999999999793 " " y[1] (closed_form) = 0.3134861808826118 " " y[1] (numeric) = 0.313486180882606 " " absolute error = 5.828670879282072000000000000000E-15 " " relative error = 1.8593071193350874000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1499999999999804 " " y[1] (closed_form) = 0.31663676937905944 " " y[1] (numeric) = 0.31663676937905394 " " absolute error = 5.495603971894525000000000000000E-15 " " relative error = 1.7356177498499872000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1399999999999815 " " y[1] (closed_form) = 0.31981902181630983 " " y[1] (numeric) = 0.3198190218163046 " " absolute error = 5.218048215738236000000000000000E-15 " " relative error = 1.6315628088986076000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1299999999999826 " " y[1] (closed_form) = 0.32303325642225855 " " y[1] (numeric) = 0.3230332564222537 " " absolute error = 4.829470157119431000000000000000E-15 " " relative error = 1.4950380684044817000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1199999999999837 " " y[1] (closed_form) = 0.3262797946230448 " " y[1] (numeric) = 0.32627979462304024 " " absolute error = 4.551914400963142000000000000000E-15 " " relative error = 1.3950953984821604000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1099999999999848 " " y[1] (closed_form) = 0.32955896107519406 " " y[1] (numeric) = 0.3295589610751899 " " absolute error = 4.163336342344337000000000000000E-15 " " relative error = 1.263305457925147000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0999999999999859 " " y[1] (closed_form) = 0.33287108369808427 " " y[1] (numeric) = 0.3328710836980804 " " absolute error = 3.885780586188048000000000000000E-15 " " relative error = 1.1673530013536623000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.089999999999987 " " y[1] (closed_form) = 0.33621649370673773 " " y[1] (numeric) = 0.3362164937067342 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.0566744182096338000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.079999999999988 " " y[1] (closed_form) = 0.3395955256449432 " " y[1] (numeric) = 0.33959552564494005 " " absolute error = 3.164135620181696000000000000000E-15 " " relative error = 9.3173654575469590000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0699999999999892 " " y[1] (closed_form) = 0.34300851741871036 " " y[1] (numeric) = 0.34300851741870764 " " absolute error = 2.7200464103316335000000000000000E-15 " " relative error = 7.9299675436667770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0599999999999903 " " y[1] (closed_form) = 0.3464558103300608 " " y[1] (numeric) = 0.3464558103300584 " " absolute error = 2.3869795029440866000000000000000E-15 " " relative error = 6.8897083892749960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0499999999999914 " " y[1] (closed_form) = 0.3499377491111584 " " y[1] (numeric) = 0.3499377491111564 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 5.7107341217151330000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0399999999999925 " " y[1] (closed_form) = 0.3534546819587828 " " y[1] (numeric) = 0.35345468195878116 " " absolute error = 1.6653345369377348000000000000000E-15 " " relative error = 4.711592806491479700000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0299999999999936 " " y[1] (closed_form) = 0.35700696056914966 " " y[1] (numeric) = 0.3570069605691484 " " absolute error = 1.27675647831893000000000000000E-15 " " relative error = 3.5762789506498477000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0199999999999947 " " y[1] (closed_form) = 0.3605949401730802 " " y[1] (numeric) = 0.3605949401730793 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 2.4630917429784590000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0099999999999958 " " y[1] (closed_form) = 0.3642189795715248 " " y[1] (numeric) = 0.36421897957152444 " " absolute error = 3.8857805861880480000000000000000E-16 " " relative error = 1.0668803121570890000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9999999999999968 " " y[1] (closed_form) = 0.3678794411714435 " " y[1] (numeric) = 0.3678794411714435 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9899999999999968 " " y[1] (closed_form) = 0.3715766910220469 " " y[1] (numeric) = 0.37157669102204693 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.49393523793353800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9799999999999968 " " y[1] (closed_form) = 0.37531109885140074 " " y[1] (numeric) = 0.3753110988514008 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.479070333948123000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9699999999999968 " " y[1] (closed_form) = 0.37908303810340005 " " y[1] (numeric) = 0.3790830381034 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.464353338228665500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9599999999999967 " " y[1] (closed_form) = 0.3828928859751133 " " y[1] (numeric) = 0.3828928859751132 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.89956555812665900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9499999999999967 " " y[1] (closed_form) = 0.38674102345450245 " " y[1] (numeric) = 0.3867410234545023 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 4.30607159815216900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9399999999999967 " " y[1] (closed_form) = 0.39062783535852236 " " y[1] (numeric) = 0.39062783535852214 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 5.68430062648342600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9299999999999967 " " y[1] (closed_form) = 0.3945537103716024 " " y[1] (numeric) = 0.3945537103716022 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 5.627740890230207000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9199999999999967 " " y[1] (closed_form) = 0.39851904108451547 " " y[1] (numeric) = 0.3985190410845153 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 4.178807949566858400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9099999999999967 " " y[1] (closed_form) = 0.4025242240336373 " " y[1] (numeric) = 0.4025242240336372 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.758152077158913500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8999999999999967 " " y[1] (closed_form) = 0.40656965974060044 " " y[1] (numeric) = 0.4065696597406004 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.365354002723052400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8899999999999967 " " y[1] (closed_form) = 0.41065575275234684 " " y[1] (numeric) = 0.4106557527523467 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.703537006809438300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8799999999999967 " " y[1] (closed_form) = 0.41478291168158277 " " y[1] (numeric) = 0.41478291168158254 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 5.353272728252816000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8699999999999967 " " y[1] (closed_form) = 0.4189515492476404 " " y[1] (numeric) = 0.4189515492476402 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 3.97500508096549130000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8599999999999967 " " y[1] (closed_form) = 0.4231620823177502 " " y[1] (numeric) = 0.42316208231775004 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 3.93545311956198300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8499999999999966 " " y[1] (closed_form) = 0.4274149319487281 " " y[1] (numeric) = 0.427414931948728 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.59752980449999060000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8399999999999966 " " y[1] (closed_form) = 0.4317105234290811 " " y[1] (numeric) = 0.431710523429081 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.571683951103725000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8299999999999966 " " y[1] (closed_form) = 0.43604928632153706 " " y[1] (numeric) = 0.43604928632153694 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.54609526824564600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8199999999999966 " " y[1] (closed_form) = 0.44043165450600075 " " y[1] (numeric) = 0.4404316545060007 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.260380598518072700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8099999999999966 " " y[1] (closed_form) = 0.44485806622294266 " " y[1] (numeric) = 0.4448580662229426 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.247839602023494800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7999999999999966 " " y[1] (closed_form) = 0.4493289641172231 " " y[1] (numeric) = 0.4493289641172232 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.23542339052898910000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7899999999999966 " " y[1] (closed_form) = 0.4538447952823574 " " y[1] (numeric) = 0.4538447952823575 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.44626144480611800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7799999999999966 " " y[1] (closed_form) = 0.4584060113052251 " " y[1] (numeric) = 0.4584060113052253 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 3.63288110510594500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7699999999999966 " " y[1] (closed_form) = 0.4630130683112297 " " y[1] (numeric) = 0.46301306831122985 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 3.59673333414063500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7599999999999966 " " y[1] (closed_form) = 0.46766642700991085 " " y[1] (numeric) = 0.467666427009911 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 3.56094523950602700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7499999999999966 " " y[1] (closed_form) = 0.47236655274101635 " " y[1] (numeric) = 0.4723665527410166 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 4.70068432315044400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7399999999999965 " " y[1] (closed_form) = 0.47711391552103605 " " y[1] (numeric) = 0.4771139155210363 " " absolute error = 2.77555756156289140000000000000000E-16 " " relative error = 5.81738966580302300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7299999999999965 " " y[1] (closed_form) = 0.4819089900902041 " " y[1] (numeric) = 0.4819089900902043 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 4.607604537185928000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7199999999999965 " " y[1] (closed_form) = 0.48675225595997335 " " y[1] (numeric) = 0.48675225595997357 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 4.561758106022840700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7099999999999965 " " y[1] (closed_form) = 0.4916441974609668 " " y[1] (numeric) = 0.4916441974609671 " " absolute error = 2.77555756156289140000000000000000E-16 " " relative error = 5.64545981808979200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6999999999999965 " " y[1] (closed_form) = 0.49658530379141125 " " y[1] (numeric) = 0.49658530379141147 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 4.471429243469925400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6899999999999965 " " y[1] (closed_form) = 0.5015760690660573 " " y[1] (numeric) = 0.5015760690660577 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 6.64040666867785200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6799999999999965 " " y[1] (closed_form) = 0.5066169923655914 " " y[1] (numeric) = 0.5066169923655919 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 8.76577802446849700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6699999999999965 " " y[1] (closed_form) = 0.5117085777865443 " " y[1] (numeric) = 0.5117085777865447 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 6.5089178068553600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6599999999999965 " " y[1] (closed_form) = 0.5168513344917011 " " y[1] (numeric) = 0.5168513344917014 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 6.4441529925641490000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6499999999999965 " " y[1] (closed_form) = 0.5220457767610179 " " y[1] (numeric) = 0.5220457767610182 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 4.253355065961559300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6399999999999965 " " y[1] (closed_form) = 0.5272924240430504 " " y[1] (numeric) = 0.5272924240430505 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.10551673796571200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6299999999999965 " " y[1] (closed_form) = 0.5325918010068991 " " y[1] (numeric) = 0.5325918010068992 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.084566496379043600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6199999999999964 " " y[1] (closed_form) = 0.5379444375946764 " " y[1] (numeric) = 0.5379444375946764 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6099999999999964 " " y[1] (closed_form) = 0.5433508690745017 " " y[1] (numeric) = 0.5433508690745018 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.0432893141704500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5999999999999964 " " y[1] (closed_form) = 0.5488116360940284 " " y[1] (numeric) = 0.5488116360940284 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5899999999999964 " " y[1] (closed_form) = 0.554327284734509 " " y[1] (numeric) = 0.5543272847345089 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 2.00282947493174500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5799999999999964 " " y[1] (closed_form) = 0.559898366565404 " " y[1] (numeric) = 0.5598983665654038 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.96580197736821500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5699999999999964 " " y[1] (closed_form) = 0.5655254386995391 " " y[1] (numeric) = 0.5655254386995388 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.88951238256328400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5599999999999964 " " y[1] (closed_form) = 0.571209063848817 " " y[1] (numeric) = 0.5712090638488169 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.943636918406815600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5499999999999964 " " y[1] (closed_form) = 0.5769498103804888 " " y[1] (numeric) = 0.5769498103804885 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.848594815874827000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5399999999999964 " " y[1] (closed_form) = 0.5827482523739917 " " y[1] (numeric) = 0.5827482523739915 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.81030065762478170000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5299999999999964 " " y[1] (closed_form) = 0.5886049696783573 " " y[1] (numeric) = 0.588604969678357 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.658581298923642000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5199999999999964 " " y[1] (closed_form) = 0.5945205479701965 " " y[1] (numeric) = 0.5945205479701962 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.60227747425550100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5099999999999963 " " y[1] (closed_form) = 0.6004955788122681 " " y[1] (numeric) = 0.6004955788122678 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.546533882003368000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.49999999999999634 " " y[1] (closed_form) = 0.6065306597126356 " " y[1] (numeric) = 0.6065306597126352 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 7.32179326368208500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4899999999999963 " " y[1] (closed_form) = 0.6126263941844183 " " y[1] (numeric) = 0.6126263941844178 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 9.06117525431778100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4799999999999963 " " y[1] (closed_form) = 0.6187833918061432 " " y[1] (numeric) = 0.6187833918061426 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 8.97101505410939500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4699999999999963 " " y[1] (closed_form) = 0.6250022682827031 " " y[1] (numeric) = 0.6250022682827026 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 8.88175196288229000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4599999999999963 " " y[1] (closed_form) = 0.6312836455069283 " " y[1] (numeric) = 0.631283645506928 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.276026232551776000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4499999999999963 " " y[1] (closed_form) = 0.6376281516217757 " " y[1] (numeric) = 0.6376281516217753 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.223528894394135000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4399999999999963 " " y[1] (closed_form) = 0.6440364210831437 " " y[1] (numeric) = 0.6440364210831434 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.171553913478888000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4299999999999963 " " y[1] (closed_form) = 0.650509094723319 " " y[1] (numeric) = 0.6505090947233187 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 3.41339739484308900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41999999999999627 " " y[1] (closed_form) = 0.6570468198150592 " " y[1] (numeric) = 0.6570468198150591 " " absolute error = 1.11022302462515650000000000000000E-16 " " relative error = 1.689716761642121600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40999999999999626 " " y[1] (closed_form) = 0.6636502501363218 " " y[1] (numeric) = 0.6636502501363215 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 5.018711396840896000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39999999999999625 " " y[1] (closed_form) = 0.6703200460356418 " " y[1] (numeric) = 0.6703200460356413 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.62503251210317800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38999999999999624 " " y[1] (closed_form) = 0.6770568744981672 " " y[1] (numeric) = 0.6770568744981668 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.55911233719058600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.37999999999999623 " " y[1] (closed_form) = 0.6838614092123584 " " y[1] (numeric) = 0.6838614092123579 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.49384807897765600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3699999999999962 " " y[1] (closed_form) = 0.6907343306373572 " " y[1] (numeric) = 0.6907343306373569 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 4.82192490823813660000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3599999999999962 " " y[1] (closed_form) = 0.6976763260710337 " " y[1] (numeric) = 0.6976763260710332 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 6.36526127166951900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3499999999999962 " " y[1] (closed_form) = 0.7046880897187161 " " y[1] (numeric) = 0.7046880897187155 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 7.87740732973303200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3399999999999962 " " y[1] (closed_form) = 0.7117703227626124 " " y[1] (numeric) = 0.7117703227626118 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 9.35883098061199800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3299999999999962 " " y[1] (closed_form) = 0.718923733431929 " " y[1] (numeric) = 0.7189237334319282 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 1.08099938991817180000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3199999999999962 " " y[1] (closed_form) = 0.7261490370736937 " " y[1] (numeric) = 0.726149037073693 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 9.17351371089804100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30999999999999617 " " y[1] (closed_form) = 0.7334469562242921 " " y[1] (numeric) = 0.7334469562242913 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 1.05959416784320390000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29999999999999616 " " y[1] (closed_form) = 0.7408182206817208 " " y[1] (numeric) = 0.74081822068172 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 1.0490510297147520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28999999999999615 " " y[1] (closed_form) = 0.748263567578568 " " y[1] (numeric) = 0.7482635675785675 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 7.41866283973917100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27999999999999614 " " y[1] (closed_form) = 0.7557837414557284 " " y[1] (numeric) = 0.7557837414557278 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 7.34484591112489800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.26999999999999613 " " y[1] (closed_form) = 0.7633794943368561 " " y[1] (numeric) = 0.7633794943368555 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 8.72611616786695200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2599999999999961 " " y[1] (closed_form) = 0.7710515858035693 " " y[1] (numeric) = 0.7710515858035685 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 1.00791715048180380000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24999999999999611 " " y[1] (closed_form) = 0.7788007830714079 " " y[1] (numeric) = 0.7788007830714069 " " absolute error = 9.9920072216264090000000000000000E-16 " " relative error = 1.2829991236295720000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2399999999999961 " " y[1] (closed_form) = 0.7866278610665565 " " y[1] (numeric) = 0.7866278610665556 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 1.12909606137758790000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2299999999999961 " " y[1] (closed_form) = 0.7945336025033372 " " y[1] (numeric) = 0.794533602503336 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.39732670981715160000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2199999999999961 " " y[1] (closed_form) = 0.8025187979624816 " " y[1] (numeric) = 0.8025187979624807 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 1.10673846139819430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.20999999999999608 " " y[1] (closed_form) = 0.8105842459701903 " " y[1] (numeric) = 0.8105842459701893 " " absolute error = 9.9920072216264090000000000000000E-16 " " relative error = 1.23269200842497870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.19999999999999607 " " y[1] (closed_form) = 0.818730753077985 " " y[1] (numeric) = 0.8187307530779843 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 9.4922062511506100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18999999999999606 " " y[1] (closed_form) = 0.8269591339433656 " " y[1] (numeric) = 0.8269591339433647 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 1.07402939667022570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17999999999999605 " " y[1] (closed_form) = 0.8352702114112753 " " y[1] (numeric) = 0.8352702114112746 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 9.30424797413191600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16999999999999604 " " y[1] (closed_form) = 0.843664816596387 " " y[1] (numeric) = 0.8436648165963859 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.31595273713576240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15999999999999603 " " y[1] (closed_form) = 0.8521437889662147 " " y[1] (numeric) = 0.8521437889662135 " " absolute error = 1.2212453270876722000000000000000E-15 " " relative error = 1.43314466748532680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14999999999999603 " " y[1] (closed_form) = 0.8607079764250612 " " y[1] (numeric) = 0.8607079764250598 " " absolute error = 1.4432899320127035000000000000000E-15 " " relative error = 1.6768636651973280000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13999999999999602 " " y[1] (closed_form) = 0.8693582353988093 " " y[1] (numeric) = 0.8693582353988076 " " absolute error = 1.6653345369377348000000000000000E-15 " " relative error = 1.9155906841715020000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.129999999999996 " " y[1] (closed_form) = 0.8780954309205649 " " y[1] (numeric) = 0.8780954309205631 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 2.0229655876218142000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.119999999999996 " " y[1] (closed_form) = 0.886920436717161 " " y[1] (numeric) = 0.8869204367171594 " " absolute error = 1.6653345369377348000000000000000E-15 " " relative error = 1.87765944722368630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10999999999999599 " " y[1] (closed_form) = 0.8958341352965319 " " y[1] (numeric) = 0.89583413529653 " " absolute error = 1.887379141862766000000000000000E-15 " " relative error = 2.10683994670288060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -9.99999999999959800E-2 " " y[1] (closed_form) = 0.9048374180359632 " " y[1] (numeric) = 0.9048374180359614 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.96317791902992280000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -8.99999999999959700E-2 " " y[1] (closed_form) = 0.9139311852712318 " " y[1] (numeric) = 0.9139311852712301 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.94364397235561260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -7.99999999999959600E-2 " " y[1] (closed_form) = 0.9231163463866395 " " y[1] (numeric) = 0.9231163463866375 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 2.16484244066052770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -6.99999999999959500E-2 " " y[1] (closed_form) = 0.932393819905952 " " y[1] (numeric) = 0.9323938199059499 " " absolute error = 2.1094237467877974000000000000000E-15 " " relative error = 2.26237422616182630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -5.999999999999595000E-2 " " y[1] (closed_form) = 0.9417645335842525 " " y[1] (numeric) = 0.9417645335842503 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.3577507647262308000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -4.99999999999959370E-2 " " y[1] (closed_form) = 0.9512294245007179 " " y[1] (numeric) = 0.9512294245007156 " " absolute error = 2.3314683517128287000000000000000E-15 " " relative error = 2.4510052902711370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -3.99999999999959300E-2 " " y[1] (closed_form) = 0.9607894391523272 " " y[1] (numeric) = 0.9607894391523246 " " absolute error = 2.55351295663786000000000000000E-15 " " relative error = 2.65772379730853500000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -2.99999999999959200E-2 " " y[1] (closed_form) = 0.9704455335485122 " " y[1] (numeric) = 0.9704455335485097 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.51687556873406500000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.99999999999959100E-2 " " y[1] (closed_form) = 0.9801986733067594 " " y[1] (numeric) = 0.9801986733067569 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.4918322383925032000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -9.999999999995901000E-3 " " y[1] (closed_form) = 0.9900498337491721 " " y[1] (numeric) = 0.9900498337491697 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.46703809335131530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.100886297209172000000000000000E-15 " " y[1] (closed_form) = 1.000000000000004 " " y[1] (numeric) = 1.0000000000000018 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.22044604925030420000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.000000000000410300E-2 " " y[1] (closed_form) = 1.0100501670841722 " " y[1] (numeric) = 1.01005016708417 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.19835224190926050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.00000000000041120E-2 " " y[1] (closed_form) = 1.02020134002676 " " y[1] (numeric) = 1.0202013400267576 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.3941260987868118000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.00000000000041230E-2 " " y[1] (closed_form) = 1.0304545339535212 " " y[1] (numeric) = 1.0304545339535187 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.3703041460784270000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.00000000000041300E-2 " " y[1] (closed_form) = 1.0408107741923924 " " y[1] (numeric) = 1.0408107741923898 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.56005733719262940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 5.00000000000041400E-2 " " y[1] (closed_form) = 1.0512710963760283 " " y[1] (numeric) = 1.0512710963760257 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.5345843410759010000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 6.00000000000041500E-2 " " y[1] (closed_form) = 1.061836546545364 " " y[1] (numeric) = 1.0618365465453616 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.300251071713320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 7.00000000000041600E-2 " " y[1] (closed_form) = 1.072508181254221 " " y[1] (numeric) = 1.0725081812542185 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 2.2773631911311180000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 8.00000000000041700E-2 " " y[1] (closed_form) = 1.083287067674963 " " y[1] (numeric) = 1.0832870676749609 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.04973004433258050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 9.00000000000041800E-2 " " y[1] (closed_form) = 1.0941742837052149 " " y[1] (numeric) = 1.094174283705213 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6234679116977170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.10000000000000418 " " y[1] (closed_form) = 1.1051709180756522 " " y[1] (numeric) = 1.1051709180756504 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.60731413607343400000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.11000000000000419 " " y[1] (closed_form) = 1.116278070458876 " " y[1] (numeric) = 1.116278070458874 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.79023622985246430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.1200000000000042 " " y[1] (closed_form) = 1.1274968515793804 " " y[1] (numeric) = 1.1274968515793786 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.57548718376637300000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.1300000000000042 " " y[1] (closed_form) = 1.1388283833246267 " " y[1] (numeric) = 1.1388283833246249 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.55981082436184280000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.1400000000000042 " " y[1] (closed_form) = 1.150273798857232 " " y[1] (numeric) = 1.15027379885723 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.73732675325704440000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.1500000000000042 " " y[1] (closed_form) = 1.161834242728288 " " y[1] (numeric) = 1.161834242728286 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.7200400632301190000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.16000000000000422 " " y[1] (closed_form) = 1.1735108709918152 " " y[1] (numeric) = 1.1735108709918132 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.70292537864288770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.17000000000000423 " " y[1] (closed_form) = 1.1853048513203706 " " y[1] (numeric) = 1.1853048513203688 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.49864976712233760000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.18000000000000424 " " y[1] (closed_form) = 1.1972173631218153 " " y[1] (numeric) = 1.1972173631218135 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.48373795278770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.19000000000000425 " " y[1] (closed_form) = 1.2092495976572566 " " y[1] (numeric) = 1.2092495976572546 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.65259632767039260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.20000000000000426 " " y[1] (closed_form) = 1.221402758160175 " " y[1] (numeric) = 1.2214027581601732 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.45435797285738440000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.21000000000000427 " " y[1] (closed_form) = 1.2336780599567485 " " y[1] (numeric) = 1.2336780599567463 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.79985858654903820000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.22000000000000428 " " y[1] (closed_form) = 1.246076730587386 " " y[1] (numeric) = 1.2460767305873839 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.7819496943848880000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.23000000000000428 " " y[1] (closed_form) = 1.2586000099294832 " " y[1] (numeric) = 1.258600009929481 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.7642189986751391000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.2400000000000043 " " y[1] (closed_form) = 1.27124915032141 " " y[1] (numeric) = 1.2712491503214078 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.74666472633544540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.2500000000000043 " " y[1] (closed_form) = 1.284025416687747 " " y[1] (numeric) = 1.284025416687745 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.55635660973154930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.2600000000000043 " " y[1] (closed_form) = 1.2969300866657774 " " y[1] (numeric) = 1.2969300866657751 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.712078447465710300000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.2700000000000043 " " y[1] (closed_form) = 1.309964450733253 " " y[1] (numeric) = 1.309964450733251 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.5255386840510640000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.2800000000000043 " " y[1] (closed_form) = 1.3231298123374426 " " y[1] (numeric) = 1.3231298123374406 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.51035932052268060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.2900000000000043 " " y[1] (closed_form) = 1.3364274880254778 " " y[1] (numeric) = 1.3364274880254754 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.8276267706705390000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.3000000000000043 " " y[1] (closed_form) = 1.349858807576009 " " y[1] (numeric) = 1.3498588075760063 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.9739362695904320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.3100000000000043 " " y[1] (closed_form) = 1.3634251141321836 " " y[1] (numeric) = 1.363425114132181 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.95429527553946020000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.32000000000000434 " " y[1] (closed_form) = 1.377127764335963 " " y[1] (numeric) = 1.37712776433596 " " absolute error = 2.886579864025407000000000000000E-15 " " relative error = 2.0960871886983460000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.33000000000000435 " " y[1] (closed_form) = 1.3909681284637863 " " y[1] (numeric) = 1.3909681284637831 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 2.23486390905567850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.34000000000000435 " " y[1] (closed_form) = 1.4049475905636 " " y[1] (numeric) = 1.4049475905635966 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.3706714017277750000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.35000000000000436 " " y[1] (closed_form) = 1.4190675485932633 " " y[1] (numeric) = 1.41906754859326 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.3470828271544908000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.36000000000000437 " " y[1] (closed_form) = 1.4333294145603466 " " y[1] (numeric) = 1.433329414560343 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.47864422700781960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.3700000000000044 " " y[1] (closed_form) = 1.4477346146633308 " " y[1] (numeric) = 1.4477346146633272 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.4539813048724270000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.3800000000000044 " " y[1] (closed_form) = 1.462284589434231 " " y[1] (numeric) = 1.4622845894342273 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.42956378291251270000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.3900000000000044 " " y[1] (closed_form) = 1.4769807938826491 " " y[1] (numeric) = 1.4769807938826454 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.5557260455652540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.4000000000000044 " " y[1] (closed_form) = 1.4918246976412768 " " y[1] (numeric) = 1.4918246976412735 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.23261424692967560000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.4100000000000044 " " y[1] (closed_form) = 1.5068177851128601 " " y[1] (numeric) = 1.5068177851128566 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.35775932159866560000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.4200000000000044 " " y[1] (closed_form) = 1.5219615556186405 " " y[1] (numeric) = 1.5219615556186368 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.48019292589239160000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.43000000000000443 " " y[1] (closed_form) = 1.5372575235482882 " " y[1] (numeric) = 1.5372575235482844 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.4555145939456252000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.44000000000000444 " " y[1] (closed_form) = 1.5527072185113429 " " y[1] (numeric) = 1.5527072185113389 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.57408662818125860000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.45000000000000445 " " y[1] (closed_form) = 1.5683121854901758 " " y[1] (numeric) = 1.5683121854901718 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.5484740382868115000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.46000000000000446 " " y[1] (closed_form) = 1.584073984994489 " " y[1] (numeric) = 1.5840739849944852 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.38294317025771060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.47000000000000447 " " y[1] (closed_form) = 1.5999941932173674 " " y[1] (numeric) = 1.599994193217364 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.08167572607120150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.4800000000000045 " " y[1] (closed_form) = 1.6160744021929005 " " y[1] (numeric) = 1.6160744021928972 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.06096270651647180000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.4900000000000045 " " y[1] (closed_form) = 1.6323162199553862 " " y[1] (numeric) = 1.6323162199553825 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.31251655627651740000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5000000000000044 " " y[1] (closed_form) = 1.6487212707001355 " " y[1] (numeric) = 1.6487212707001317 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.28950663208376480000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5100000000000044 " " y[1] (closed_form) = 1.6652911949458937 " " y[1] (numeric) = 1.66529119494589 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.2667256604621489000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5200000000000045 " " y[1] (closed_form) = 1.682027649698894 " " y[1] (numeric) = 1.68202764969889 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.37618144348937770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5300000000000045 " " y[1] (closed_form) = 1.6989323086185582 " " y[1] (numeric) = 1.6989323086185546 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.09114492718623730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5400000000000045 " " y[1] (closed_form) = 1.716006862184866 " " y[1] (numeric) = 1.7160068621848625 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.07033768750615050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5500000000000045 " " y[1] (closed_form) = 1.733253017867403 " " y[1] (numeric) = 1.733253017867399 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.30595466873511350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5600000000000045 " " y[1] (closed_form) = 1.750672500296109 " " y[1] (numeric) = 1.7506725002961052 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.15617614550241060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5700000000000045 " " y[1] (closed_form) = 1.768267051433743 " " y[1] (numeric) = 1.7682670514337393 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.13472183438858350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5800000000000045 " " y[1] (closed_form) = 1.7860384307500814 " " y[1] (numeric) = 1.7860384307500776 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.11348099723713630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.5900000000000045 " " y[1] (closed_form) = 1.8039884153978651 " " y[1] (numeric) = 1.8039884153978616 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.96936612700861440000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6000000000000045 " " y[1] (closed_form) = 1.8221188003905173 " " y[1] (numeric) = 1.8221188003905138 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.94977060663612150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6100000000000045 " " y[1] (closed_form) = 1.8404313987816459 " " y[1] (numeric) = 1.8404313987816423 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.93037006494910650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6200000000000045 " " y[1] (closed_form) = 1.8589280418463505 " " y[1] (numeric) = 1.8589280418463467 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.0306102219945610000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6300000000000046 " " y[1] (closed_form) = 1.8776105792643516 " " y[1] (numeric) = 1.8776105792643476 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.1286644487359630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6400000000000046 " " y[1] (closed_form) = 1.8964808793049601 " " y[1] (numeric) = 1.8964808793049557 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.3416487595320050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6500000000000046 " " y[1] (closed_form) = 1.9155408290139049 " " y[1] (numeric) = 1.9155408290139007 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.20243151681992650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6600000000000046 " " y[1] (closed_form) = 1.9347923344020403 " " y[1] (numeric) = 1.934792334402036 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.2952810074436808000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6700000000000046 " " y[1] (closed_form) = 1.9542373206359485 " " y[1] (numeric) = 1.9542373206359442 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.15882045083587710000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6800000000000046 " " y[1] (closed_form) = 1.9738777322304566 " " y[1] (numeric) = 1.9738777322304522 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.2498313983624890000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.6900000000000046 " " y[1] (closed_form) = 1.9937155332430916 " " y[1] (numeric) = 1.9937155332430867 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.45018972210368450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7000000000000046 " " y[1] (closed_form) = 2.013752707470486 " " y[1] (numeric) = 2.013752707470481 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.42580992702267240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7100000000000046 " " y[1] (closed_form) = 2.03399125864676 " " y[1] (numeric) = 2.033991258646755 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.4016727149558792000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7200000000000046 " " y[1] (closed_form) = 2.0544332106438974 " " y[1] (numeric) = 2.0544332106438925 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.37777567216198050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7300000000000046 " " y[1] (closed_form) = 2.075080607674132 " " y[1] (numeric) = 2.0750806076741273 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.35411640891678540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7400000000000047 " " y[1] (closed_form) = 2.095935514494374 " " y[1] (numeric) = 2.095935514494369 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.3306925592742522000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7500000000000047 " " y[1] (closed_form) = 2.1170000166126846 " " y[1] (numeric) = 2.1170000166126792 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 2.517274669996250000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7600000000000047 " " y[1] (closed_form) = 2.1382762204968286 " " y[1] (numeric) = 2.1382762204968224 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.9075985966192425000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7700000000000047 " " y[1] (closed_form) = 2.159766253784925 " " y[1] (numeric) = 2.1597662537849187 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.87866750719219600000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7800000000000047 " " y[1] (closed_form) = 2.1814722654982113 " " y[1] (numeric) = 2.181472265498205 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 2.8500242869147646000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.7900000000000047 " " y[1] (closed_form) = 2.203396426255947 " " y[1] (numeric) = 2.2033964262559413 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.620118494909550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8000000000000047 " " y[1] (closed_form) = 2.225540928492478 " " y[1] (numeric) = 2.2255409284924723 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 2.5940478802883210000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8100000000000047 " " y[1] (closed_form) = 2.247907986676482 " " y[1] (numeric) = 2.247907986676477 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.17312333836809000000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8200000000000047 " " y[1] (closed_form) = 2.2704998375324164 " " y[1] (numeric) = 2.270499837532412 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.95590945442524060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8300000000000047 " " y[1] (closed_form) = 2.2933187402641937 " " y[1] (numeric) = 2.293318740264189 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.1300926132003490000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8400000000000047 " " y[1] (closed_form) = 2.3163669767811026 " " y[1] (numeric) = 2.3163669767810977 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 2.10889783756933650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8500000000000048 " " y[1] (closed_form) = 2.339646851926002 " " y[1] (numeric) = 2.339646851925998 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.70829323466504670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8600000000000048 " " y[1] (closed_form) = 2.3631606937058063 " " y[1] (numeric) = 2.3631606937058023 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.69129543297495770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8700000000000048 " " y[1] (closed_form) = 2.386910853524288 " " y[1] (numeric) = 2.386910853524284 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.67446676223758440000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8800000000000048 " " y[1] (closed_form) = 2.4108997064172213 " " y[1] (numeric) = 2.4108997064172173 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.65780553957182830000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.8900000000000048 " " y[1] (closed_form) = 2.4351296512898863 " " y[1] (numeric) = 2.435129651289882 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.8236778876017090000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9000000000000048 " " y[1] (closed_form) = 2.4596031111569614 " " y[1] (numeric) = 2.4596031111569574 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.62497879048889570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9100000000000048 " " y[1] (closed_form) = 2.4843225333848284 " " y[1] (numeric) = 2.4843225333848244 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.6088099813694550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9200000000000048 " " y[1] (closed_form) = 2.50929038993631 " " y[1] (numeric) = 2.509290389936306 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.59280205458883130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9300000000000048 " " y[1] (closed_form) = 2.534509177617867 " " y[1] (numeric) = 2.5345091776178634 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.40173636385867160000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9400000000000048 " " y[1] (closed_form) = 2.5599814183292837 " " y[1] (numeric) = 2.5599814183292797 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.56126246074824640000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9500000000000048 " " y[1] (closed_form) = 2.585709659315859 " " y[1] (numeric) = 2.5857096593158544 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.71747515522513130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9600000000000048 " " y[1] (closed_form) = 2.6116964734231303 " " y[1] (numeric) = 2.6116964734231263 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.53034739270907130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9700000000000049 " " y[1] (closed_form) = 2.6379444593541654 " " y[1] (numeric) = 2.637944459354161 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.68346686858898730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9800000000000049 " " y[1] (closed_form) = 2.66445624192943 " " y[1] (numeric) = 2.6644562419294258 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.66671609336875940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 0.9900000000000049 " " y[1] (closed_form) = 2.6912344723492754 " " y[1] (numeric) = 2.6912344723492714 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 1.4851187920321230000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0000000000000049 " " y[1] (closed_form) = 2.7182818284590584 " " y[1] (numeric) = 2.718281828459055 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 1.3069703227992610000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0100000000000038 " " y[1] (closed_form) = 2.745601015016927 " " y[1] (numeric) = 2.745601015016926 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 3.23491437700626600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0200000000000027 " " y[1] (closed_form) = 2.7731947639643053 " " y[1] (numeric) = 2.773194763964308 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 9.60817932344355200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0300000000000016 " " y[1] (closed_form) = 2.8010658346990835 " " y[1] (numeric) = 2.801065834699089 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 1.90251526836149850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0400000000000005 " " y[1] (closed_form) = 2.8292170143515607 " " y[1] (numeric) = 2.8292170143515696 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 3.13930820857759600000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0499999999999994 " " y[1] (closed_form) = 2.857651118063162 " " y[1] (numeric) = 2.8576511180631745 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 4.35130019798551040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0599999999999983 " " y[1] (closed_form) = 2.886370989267953 " " y[1] (numeric) = 2.8863709892679683 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 5.2311477599529140000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0699999999999972 " " y[1] (closed_form) = 2.9153794999769884 " " y[1] (numeric) = 2.915379499977006 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 6.0930552588926120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.079999999999996 " " y[1] (closed_form) = 2.944679551065512 " " y[1] (numeric) = 2.9446795510655335 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 7.2389140153093590000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.089999999999995 " " y[1] (closed_form) = 2.9742740725630505 " " y[1] (numeric) = 2.9742740725630745 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 8.0627463195542550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.0999999999999939 " " y[1] (closed_form) = 3.0041660239464147 " " y[1] (numeric) = 3.004166023946442 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 9.0172918490263220000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1099999999999928 " " y[1] (closed_form) = 3.0343583944356536 " " y[1] (numeric) = 3.0343583944356847 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0244750503602251000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1199999999999917 " " y[1] (closed_form) = 3.0648542032929766 " " y[1] (numeric) = 3.0648542032930117 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1446889558550813000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1299999999999906 " " y[1] (closed_form) = 3.095656500124682 " " y[1] (numeric) = 3.0956565001247216 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.2767546940386856000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1399999999999895 " " y[1] (closed_form) = 3.126768365186123 " " y[1] (numeric) = 3.126768365186166 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 1.3776733139262112000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1499999999999884 " " y[1] (closed_form) = 3.1581929096897308 " " y[1] (numeric) = 3.158192909689778 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.490518710864032200000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1599999999999873 " " y[1] (closed_form) = 3.189933276116144 " " y[1] (numeric) = 3.1899332761161947 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.587060466184618000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1699999999999862 " " y[1] (closed_form) = 3.221992638528455 " " y[1] (numeric) = 3.2219926385285103 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 1.709099560406132000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.179999999999985 " " y[1] (closed_form) = 3.2543742028896223 " " y[1] (numeric) = 3.254374202889681 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 1.8012610734241508000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.189999999999984 " " y[1] (closed_form) = 3.2870812073830655 " " y[1] (numeric) = 3.2870812073831286 " " absolute error = 6.30606677987088900000000000000E-14 " " relative error = 1.9184396070614024000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.1999999999999829 " " y[1] (closed_form) = 3.3201169227364904 " " y[1] (numeric) = 3.3201169227365575 " " absolute error = 6.70574706873594600000000000000E-14 " " relative error = 2.0197322036505172000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2099999999999818 " " y[1] (closed_form) = 3.3534846525489623 " " y[1] (numeric) = 3.3534846525490334 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 2.118819107223351000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2199999999999807 " " y[1] (closed_form) = 3.387187733621269 " " y[1] (numeric) = 3.3871877336213445 " " absolute error = 7.54951656745106400000000000000E-14 " " relative error = 2.2288450364042317000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2299999999999796 " " y[1] (closed_form) = 3.4212295362896037 " " y[1] (numeric) = 3.4212295362896836 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 2.336471637612004000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2399999999999785 " " y[1] (closed_form) = 3.4556134647626013 " " y[1] (numeric) = 3.4556134647626853 " " absolute error = 8.39328606616618300000000000000E-14 " " relative error = 2.428884524196284000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2499999999999774 " " y[1] (closed_form) = 3.4903429574617624 " " y[1] (numeric) = 3.490342957461851 " " absolute error = 8.88178419700125200000000000000E-14 " " relative error = 2.544673777117948000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2599999999999763 " " y[1] (closed_form) = 3.5254214873652985 " " y[1] (numeric) = 3.525421487365392 " " absolute error = 9.37028232783632100000000000000E-14 " " relative error = 2.657918311730477000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2699999999999751 " " y[1] (closed_form) = 3.560852562355432 " " y[1] (numeric) = 3.5608525623555303 " " absolute error = 9.81437153768638400000000000000E-14 " " relative error = 2.7561858756641060000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.279999999999974 " " y[1] (closed_form) = 3.596639725569188 " " y[1] (numeric) = 3.5966397255692915 " " absolute error = 1.03472785895064590000000000000E-13 " " relative error = 2.876929406063584700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.289999999999973 " " y[1] (closed_form) = 3.632786555752711 " " y[1] (numeric) = 3.6327865557528196 " " absolute error = 1.08801856413265340000000000000E-13 " " relative error = 2.9949972216499154000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.2999999999999718 " " y[1] (closed_form) = 3.669296667619141 " " y[1] (numeric) = 3.6692966676192547 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 3.0983277728639710000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3099999999999707 " " y[1] (closed_form) = 3.70617371221009 " " y[1] (numeric) = 3.7061737122102087 " " absolute error = 1.18571819029966720000000000000E-13 " " relative error = 3.1993054896301440000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3199999999999696 " " y[1] (closed_form) = 3.743421377260749 " " y[1] (numeric) = 3.743421377260872 " " absolute error = 1.23012711128467340000000000000E-13 " " relative error = 3.2861037732942044000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3299999999999685 " " y[1] (closed_form) = 3.781043387568662 " " y[1] (numeric) = 3.7810433875687908 " " absolute error = 1.28785870856518160000000000000E-13 " " relative error = 3.406093441824581000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3399999999999674 " " y[1] (closed_form) = 3.8190435053662113 " " y[1] (numeric) = 3.8190435053663463 " " absolute error = 1.35003119794419040000000000000E-13 " " relative error = 3.534998216300065000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3499999999999663 " " y[1] (closed_form) = 3.8574255306968444 " " y[1] (numeric) = 3.8574255306969847 " " absolute error = 1.40332190312619800000000000000E-13 " " relative error = 3.6379753593653624000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3599999999999652 " " y[1] (closed_form) = 3.896193301795079 " " y[1] (numeric) = 3.8961933017952255 " " absolute error = 1.46549439250520660000000000000E-13 " " relative error = 3.761349294014788000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3699999999999641 " " y[1] (closed_form) = 3.9353506954703317 " " y[1] (numeric) = 3.935350695470484 " " absolute error = 1.52322598978571480000000000000E-13 " " relative error = 3.870623249762667500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.379999999999963 " " y[1] (closed_form) = 3.974901627494601 " " y[1] (numeric) = 3.9749016274947593 " " absolute error = 1.5809575870662230000000000000E-13 " " relative error = 3.977350222029790700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.389999999999962 " " y[1] (closed_form) = 4.014850052994050 " " y[1] (numeric) = 4.014850052994213 " " absolute error = 1.63424829224823040000000000000E-13 " " relative error = 4.07050891235526960000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.3999999999999608 " " y[1] (closed_form) = 4.055199966844516 " " y[1] (numeric) = 4.055199966844685 " " absolute error = 1.69642078162723920000000000000E-13 " " relative error = 4.183322143167406000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4099999999999597 " " y[1] (closed_form) = 4.095955404071011 " " y[1] (numeric) = 4.095955404071186 " " absolute error = 1.74971148680924670000000000000E-13 " " relative error = 4.271803069609085300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4199999999999586 " " y[1] (closed_form) = 4.137120440251222 " " y[1] (numeric) = 4.1371204402514 " " absolute error = 1.78523862359725170000000000000E-13 " " relative error = 4.3151719882944606000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4299999999999575 " " y[1] (closed_form) = 4.1786991919230685 " " y[1] (numeric) = 4.178699191923254 " " absolute error = 1.85629289717326170000000000000E-13 " " relative error = 4.442274525912888000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4399999999999564 " " y[1] (closed_form) = 4.220695816996370 " " y[1] (numeric) = 4.220695816996560 " " absolute error = 1.9007018181582680000000000000E-13 " " relative error = 4.5032902169929173000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4499999999999553 " " y[1] (closed_form) = 4.263114515168627 " " y[1] (numeric) = 4.263114515168825 " " absolute error = 1.98063787593127930000000000000E-13 " " relative error = 4.645987971667084000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4599999999999542 " " y[1] (closed_form) = 4.305959528345010 " " y[1] (numeric) = 4.305959528345213 " " absolute error = 2.03392858111328680000000000000E-13 " " relative error = 4.723519967441554600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4699999999999531 " " y[1] (closed_form) = 4.349235141062537 " " y[1] (numeric) = 4.349235141062747 " " absolute error = 2.09610107049229550000000000000E-13 " " relative error = 4.819470556333748700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.479999999999952 " " y[1] (closed_form) = 4.392945680918546 " " y[1] (numeric) = 4.392945680918762 " " absolute error = 2.16715534406830560000000000000E-13 " " relative error = 4.933262328923591000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.489999999999951 " " y[1] (closed_form) = 4.437095519003447 " " y[1] (numeric) = 4.43709551900367 " " absolute error = 2.22932783344731430000000000000E-13 " " relative error = 5.024295338920295000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.4999999999999498 " " y[1] (closed_form) = 4.48168907033784 " " y[1] (numeric) = 4.481689070338070 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 5.1526642187300330000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5099999999999487 " " y[1] (closed_form) = 4.5267307943140205 " " y[1] (numeric) = 4.5267307943142585 " " absolute error = 2.38031816479633560000000000000E-13 " " relative error = 5.258360333214930000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5199999999999476 " " y[1] (closed_form) = 4.57222519514192 " " y[1] (numeric) = 4.572225195142166 " " absolute error = 2.4602542225693470000000000000E-13 " " relative error = 5.380868434003242000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5299999999999465 " " y[1] (closed_form) = 4.618176822299533 " " y[1] (numeric) = 4.6181768222997865 " " absolute error = 2.5313084961453570000000000000E-13 " " relative error = 5.481185743955426000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5399999999999454 " " y[1] (closed_form) = 4.664590270987872 " " y[1] (numeric) = 4.664590270988133 " " absolute error = 2.6112445539183680000000000000E-13 " " relative error = 5.59801483564248000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5499999999999443 " " y[1] (closed_form) = 4.711470182590479 " " y[1] (numeric) = 4.711470182590748 " " absolute error = 2.69118061169137950000000000000E-13 " " relative error = 5.711976320333421000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5599999999999432 " " y[1] (closed_form) = 4.758821245137584 " " y[1] (numeric) = 4.758821245137861 " " absolute error = 2.77111666946439100000000000000E-13 " " relative error = 5.823115697602282000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.569999999999942 " " y[1] (closed_form) = 4.8066481937749 " " y[1] (numeric) = 4.806648193775186 " " absolute error = 2.8599345114344030000000000000E-13 " " relative error = 5.949955969605410000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.579999999999941 " " y[1] (closed_form) = 4.854955811237147 " " y[1] (numeric) = 4.854955811237442 " " absolute error = 2.9487523534044160000000000000E-13 " " relative error = 6.073695555743915000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.58999999999994 " " y[1] (closed_form) = 4.903748928326327 " " y[1] (numeric) = 4.90374892832663 " " absolute error = 3.0286884111774270000000000000E-13 " " relative error = 6.176271370017169000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.5999999999999388 " " y[1] (closed_form) = 4.953032424394812 " " y[1] (numeric) = 4.953032424395122 " " absolute error = 3.0997426847534370000000000000E-13 " " relative error = 6.258272547311621000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6099999999999377 " " y[1] (closed_form) = 5.002811227833276 " " y[1] (numeric) = 5.002811227833595 " " absolute error = 3.18856052672344960000000000000E-13 " " relative error = 6.373537560209761000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6199999999999366 " " y[1] (closed_form) = 5.053090316563547 " " y[1] (numeric) = 5.0530903165638765 " " absolute error = 3.29514193708746460000000000000E-13 " " relative error = 6.521043026455127000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6299999999999355 " " y[1] (closed_form) = 5.103874718536397 " " y[1] (numeric) = 5.103874718536734 " " absolute error = 3.3750779948604760000000000000E-13 " " relative error = 6.6127759417815880000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6399999999999344 " " y[1] (closed_form) = 5.155169512234343 " " y[1] (numeric) = 5.15516951223469 " " absolute error = 3.47277762102748970000000000000E-13 " " relative error = 6.736495497938196000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6499999999999333 " " y[1] (closed_form) = 5.206979827179501 " " y[1] (numeric) = 5.206979827179858 " " absolute error = 3.57047724719450340000000000000E-13 " " relative error = 6.857098290562318000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6599999999999322 " " y[1] (closed_form) = 5.259310844446542 " " y[1] (numeric) = 5.259310844446908 " " absolute error = 3.6592950891645160000000000000E-13 " " relative error = 6.957746361442908000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.669999999999931 " " y[1] (closed_form) = 5.312167797180801 " " y[1] (numeric) = 5.312167797181178 " " absolute error = 3.7658764995285310000000000000E-13 " " relative error = 7.089152005942101000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.67999999999993 " " y[1] (closed_form) = 5.365555971121599 " " y[1] (numeric) = 5.365555971121984 " " absolute error = 3.85469434149854350000000000000E-13 " " relative error = 7.18414710841749000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.689999999999929 " " y[1] (closed_form) = 5.4194807051308205 " " y[1] (numeric) = 5.419480705131215 " " absolute error = 3.9435121834685560000000000000E-13 " " relative error = 7.276549909542235000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.6999999999999278 " " y[1] (closed_form) = 5.473947391726805 " " y[1] (numeric) = 5.47394739172721 " " absolute error = 4.0500935938325710000000000000E-13 " " relative error = 7.398853704647925000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7099999999999267 " " y[1] (closed_form) = 5.528961477623600 " " y[1] (numeric) = 5.528961477624013 " " absolute error = 4.13891143580258360000000000000E-13 " " relative error = 7.4858749740855990000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7199999999999256 " " y[1] (closed_form) = 5.584528464275638 " " y[1] (numeric) = 5.584528464276062 " " absolute error = 4.23661106196959740000000000000E-13 " " relative error = 7.586336230661729000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7299999999999245 " " y[1] (closed_form) = 5.640653908427895 " " y[1] (numeric) = 5.64065390842833 " " absolute error = 4.35207425653061360000000000000E-13 " " relative error = 7.715549167141826000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7399999999999234 " " y[1] (closed_form) = 5.697343422671555 " " y[1] (numeric) = 5.697343422672000 " " absolute error = 4.45865566689462870000000000000E-13 " " relative error = 7.825850288666486000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7499999999999223 " " y[1] (closed_form) = 5.754602676005283 " " y[1] (numeric) = 5.754602676005741 " " absolute error = 4.5830006456526460000000000000E-13 " " relative error = 7.964060950310583000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7599999999999212 " " y[1] (closed_form) = 5.812437394402130 " " y[1] (numeric) = 5.8124373944026 " " absolute error = 4.6984638402136625000000000000E-13 " " relative error = 8.083465715671502000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.76999999999992 " " y[1] (closed_form) = 5.870853361382132 " " y[1] (numeric) = 5.870853361382613 " " absolute error = 4.8139270347746790000000000000E-13 " " relative error = 8.199705798206772000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.779999999999919 " " y[1] (closed_form) = 5.929856418590665 " " y[1] (numeric) = 5.929856418591158 " " absolute error = 4.9293902293356950000000000000E-13 " " relative error = 8.312832354391562000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7899999999999179 " " y[1] (closed_form) = 5.989452466382621 " " y[1] (numeric) = 5.989452466383126 " " absolute error = 5.0448534238967110000000000000E-13 " " relative error = 8.422895835992154000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.7999999999999168 " " y[1] (closed_form) = 6.049647464412443 " " y[1] (numeric) = 6.049647464412958 " " absolute error = 5.1514348342607260000000000000E-13 " " relative error = 8.515264508493219000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8099999999999157 " " y[1] (closed_form) = 6.110447432230095 " " y[1] (numeric) = 6.1104474322306235 " " absolute error = 5.2846615972157450000000000000E-13 " " relative error = 8.648567319868149000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8199999999999146 " " y[1] (closed_form) = 6.171858449883026 " " y[1] (numeric) = 6.171858449883567 " " absolute error = 5.4090065759737630000000000000E-13 " " relative error = 8.763983522785229000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8299999999999135 " " y[1] (closed_form) = 6.233886658524178 " " y[1] (numeric) = 6.233886658524732 " " absolute error = 5.533351554731780000000000000E-13 " " relative error = 8.876246646489009000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8399999999999124 " " y[1] (closed_form) = 6.296538261026105 " " y[1] (numeric) = 6.2965382610266705 " " absolute error = 5.6576965334897980000000000000E-13 " " relative error = 8.98540801142976100000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8499999999999113 " " y[1] (closed_form) = 6.359819522601267 " " y[1] (numeric) = 6.359819522601844 " " absolute error = 5.7731597280508140000000000000E-13 " " relative error = 9.077552763147435000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8599999999999102 " " y[1] (closed_form) = 6.423736771428557 " " y[1] (numeric) = 6.423736771429147 " " absolute error = 5.8975047068088320000000000000E-13 " " relative error = 9.180800703166581000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.869999999999909 " " y[1] (closed_form) = 6.488296399286122 " " y[1] (numeric) = 6.488296399286724 " " absolute error = 6.0218496855668490000000000000E-13 " " relative error = 9.281095244399448000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.879999999999908 " " y[1] (closed_form) = 6.553504862190546 " " y[1] (numeric) = 6.553504862191161 " " absolute error = 6.1550764485218680000000000000E-13 " " relative error = 9.392037662217434000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8899999999999069 " " y[1] (closed_form) = 6.619368681042461 " " y[1] (numeric) = 6.619368681043091 " " absolute error = 6.2971849956738880000000000000E-13 " " relative error = 9.51327127873796900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.8999999999999058 " " y[1] (closed_form) = 6.68589444227864 " " y[1] (numeric) = 6.685894442279282 " " absolute error = 6.4215299744319050000000000000E-13 " " relative error = 9.604593715726335000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9099999999999047 " " y[1] (closed_form) = 6.7530887985306425 " " y[1] (numeric) = 6.7530887985313 " " absolute error = 6.5725203057809270000000000000E-13 " " relative error = 9.732613477866596000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9199999999999036 " " y[1] (closed_form) = 6.820958469290092 " " y[1] (numeric) = 6.820958469290764 " " absolute error = 6.7146288529329470000000000000E-13 " " relative error = 9.844113379613919000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9299999999999025 " " y[1] (closed_form) = 6.889510241580620 " " y[1] (numeric) = 6.8895102415813065 " " absolute error = 6.8567374000849670000000000000E-13 " " relative error = 9.95243081097716000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9399999999999014 " " y[1] (closed_form) = 6.9587509706365855 " " y[1] (numeric) = 6.958750970637286 " " absolute error = 7.0077277314339880000000000000E-13 " " relative error = 1.007038153973905400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9499999999999003 " " y[1] (closed_form) = 7.028687580588592 " " y[1] (numeric) = 7.028687580589306 " " absolute error = 7.1409544943890070000000000000E-13 " " relative error = 1.015972670930838900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9599999999998992 " " y[1] (closed_form) = 7.099327065155917 " " y[1] (numeric) = 7.099327065156646 " " absolute error = 7.2919448257380280000000000000E-13 " " relative error = 1.02713183359694690000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.969999999999898 " " y[1] (closed_form) = 7.170676488345882 " " y[1] (numeric) = 7.1706764883466265 " " absolute error = 7.4429351570870500000000000000E-13 " " relative error = 1.03796833801994200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.979999999999897 " " y[1] (closed_form) = 7.242742985160266 " " y[1] (numeric) = 7.242742985161026 " " absolute error = 7.6028072726330720000000000000E-13 " " relative error = 1.049713801554265400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9899999999998959 " " y[1] (closed_form) = 7.315533762308805 " " y[1] (numeric) = 7.315533762309580 " " absolute error = 7.7449158197850920000000000000E-13 " " relative error = 1.058694563025401500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 1.9999999999998948 " " y[1] (closed_form) = 7.389056098929872 " " y[1] (numeric) = 7.389056098930662 " " absolute error = 7.8959061511341130000000000000E-13 " " relative error = 1.068594695373560200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0099999999998936 " " y[1] (closed_form) = 7.463317347318400 " " y[1] (numeric) = 7.463317347319208 " " absolute error = 8.0735418350741380000000000000E-13 " " relative error = 1.081763170364850600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0199999999998925 " " y[1] (closed_form) = 7.538324933661112 " " y[1] (numeric) = 7.538324933661936 " " absolute error = 8.2334139506201610000000000000E-13 " " relative error = 1.092207356816797100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0299999999998914 " " y[1] (closed_form) = 7.614086358779148 " " y[1] (numeric) = 7.614086358779988 " " absolute error = 8.4021678503631850000000000000E-13 " " relative error = 1.103503093404682400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0399999999998903 " " y[1] (closed_form) = 7.690609198878155 " " y[1] (numeric) = 7.690609198879012 " " absolute error = 8.5709217501062080000000000000E-13 " " relative error = 1.114465906206294800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0499999999998892 " " y[1] (closed_form) = 7.767901106305912 " " y[1] (numeric) = 7.7679011063067875 " " absolute error = 8.7574392182432350000000000000E-13 " " relative error = 1.127388093436723100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.059999999999888 " " y[1] (closed_form) = 7.8459698103175715 " " y[1] (numeric) = 7.845969810318464 " " absolute error = 8.9261931179862590000000000000E-13 " " relative error = 1.137678748935303800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.069999999999887 " " y[1] (closed_form) = 7.924823117848592 " " y[1] (numeric) = 7.9248231178495026 " " absolute error = 9.1038288019262840000000000000E-13 " " relative error = 1.148773753880044200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.079999999999886 " " y[1] (closed_form) = 8.00446891429544 " " y[1] (numeric) = 8.004468914296368 " " absolute error = 9.2725827016693070000000000000E-13 " " relative error = 1.158425724548583400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.089999999999885 " " y[1] (closed_form) = 8.08491516430413 " " y[1] (numeric) = 8.084915164305075 " " absolute error = 9.4502183856093320000000000000E-13 " " relative error = 1.168870444965604700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.0999999999998837 " " y[1] (closed_form) = 8.166169912566701 " " y[1] (numeric) = 8.166169912567666 " " absolute error = 9.645617637943360000000000000E-13 " " relative error = 1.181167884236645200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1099999999998826 " " y[1] (closed_form) = 8.248241284625694 " " y[1] (numeric) = 8.24824128462668 " " absolute error = 9.858780458671390000000000000E-13 " " relative error = 1.195258494322621200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1199999999998815 " " y[1] (closed_form) = 8.331137487686705 " " y[1] (numeric) = 8.33113748768771 " " absolute error = 1.0054179711005418000000000000E-12 " " relative error = 1.206819564058970600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1299999999998804 " " y[1] (closed_form) = 8.414866811439124 " " y[1] (numeric) = 8.41486681144015 " " absolute error = 1.0267342531733448000000000000E-12 " " relative error = 1.22014320152709700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1399999999998793 " " y[1] (closed_form) = 8.499437628885097 " " y[1] (numeric) = 8.499437628886145 " " absolute error = 1.0480505352461478000000000000E-12 " " relative error = 1.233082212032920600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1499999999998782 " " y[1] (closed_form) = 8.584858397176848 " " y[1] (numeric) = 8.584858397177916 " " absolute error = 1.0675904604795505000000000000E-12 " " relative error = 1.243573756359953900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.159999999999877 " " y[1] (closed_form) = 8.67113765846239 " " y[1] (numeric) = 8.67113765846348 " " absolute error = 1.0889067425523535000000000000E-12 " " relative error = 1.255783018840279700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.169999999999876 " " y[1] (closed_form) = 8.758284040739749 " " y[1] (numeric) = 8.758284040740858 " " absolute error = 1.1084466677857563000000000000E-12 " " relative error = 1.2655979900055100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.179999999999875 " " y[1] (closed_form) = 8.846306258719776 " " y[1] (numeric) = 8.846306258720904 " " absolute error = 1.127986593019159000000000000E-12 " " relative error = 1.275093310168078400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.189999999999874 " " y[1] (closed_form) = 8.935213114697621 " " y[1] (numeric) = 8.935213114698774 " " absolute error = 1.1528555887707626000000000000E-12 " " relative error = 1.290238491205563700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.1999999999998727 " " y[1] (closed_form) = 9.025013499432973 " " y[1] (numeric) = 9.025013499434143 " " absolute error = 1.170619157164765000000000000E-12 " " relative error = 1.297082998533257700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2099999999998716 " " y[1] (closed_form) = 9.115716393039136 " " y[1] (numeric) = 9.115716393040328 " " absolute error = 1.191935439237568000000000000E-12 " " relative error = 1.307560906729989300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2199999999998705 " " y[1] (closed_form) = 9.207330865881058 " " y[1] (numeric) = 9.207330865882273 " " absolute error = 1.2150280781497713000000000000E-12 " " relative error = 1.319631167651651400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2299999999998694 " " y[1] (closed_form) = 9.29986607948237 " " y[1] (numeric) = 9.299866079483609 " " absolute error = 1.2381207170619746000000000000E-12 " " relative error = 1.331331770242962800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2399999999998683 " " y[1] (closed_form) = 9.393331287441546 " " y[1] (numeric) = 9.393331287442805 " " absolute error = 1.2594369991347776000000000000E-12 " " relative error = 1.34077779287800400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.249999999999867 " " y[1] (closed_form) = 9.487735836357265 " " y[1] (numeric) = 9.487735836358548 " " absolute error = 1.2825296380469808000000000000E-12 " " relative error = 1.351776293277782700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.259999999999866 " " y[1] (closed_form) = 9.583089166763095 " " y[1] (numeric) = 9.583089166764402 " " absolute error = 1.3073986337985843000000000000E-12 " " relative error = 1.364276812046180400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.269999999999865 " " y[1] (closed_form) = 9.679400814071535 " " y[1] (numeric) = 9.679400814072865 " " absolute error = 1.3304912727107876000000000000E-12 " " relative error = 1.374559539653086300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.279999999999864 " " y[1] (closed_form) = 9.776680409527575 " " y[1] (numeric) = 9.77668040952893 " " absolute error = 1.3553602684623910000000000000E-12 " " relative error = 1.38631949873452400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.289999999999863 " " y[1] (closed_form) = 9.87493768117183 " " y[1] (numeric) = 9.874937681173208 " " absolute error = 1.3784529073745944000000000000E-12 " " relative error = 1.395910487620431700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.2999999999998617 " " y[1] (closed_form) = 9.974182454813342 " " y[1] (numeric) = 9.974182454814745 " " absolute error = 1.4033219031261980000000000000E-12 " " relative error = 1.406954313783364600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3099999999998606 " " y[1] (closed_form) = 10.074424655012182 " " y[1] (numeric) = 10.074424655013612 " " absolute error = 1.4299672557172016000000000000E-12 " " relative error = 1.419403394918210800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3199999999998595 " " y[1] (closed_form) = 10.175674306071905 " " y[1] (numeric) = 10.175674306073363 " " absolute error = 1.4583889651476056000000000000E-12 " " relative error = 1.433211128109096000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3299999999998584 " " y[1] (closed_form) = 10.277941533041993 " " y[1] (numeric) = 10.277941533043476 " " absolute error = 1.4832579608992090000000000000E-12 " " relative error = 1.443146914322059600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3399999999998573 " " y[1] (closed_form) = 10.381236562730363 " " y[1] (numeric) = 10.381236562731871 " " absolute error = 1.5081269566508126000000000000E-12 " " relative error = 1.452743078859346500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.349999999999856 " " y[1] (closed_form) = 10.485569724726066 " " y[1] (numeric) = 10.485569724727602 " " absolute error = 1.5365486660812167000000000000E-12 " " relative error = 1.465393589876070300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.359999999999855 " " y[1] (closed_form) = 10.590951452432247 " " y[1] (numeric) = 10.590951452433806 " " absolute error = 1.55964130499342000000000000E-12 " " relative error = 1.472616801236722700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.369999999999854 " " y[1] (closed_form) = 10.69739228410949 " " y[1] (numeric) = 10.697392284111082 " " absolute error = 1.5916157281026244000000000000E-12 " " relative error = 1.48785394218635900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.379999999999853 " " y[1] (closed_form) = 10.80490286392967 " " y[1] (numeric) = 10.80490286393129 " " absolute error = 1.6200374375330284000000000000E-12 " " relative error = 1.49935400432080500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.389999999999852 " " y[1] (closed_form) = 10.913493943040356 " " y[1] (numeric) = 10.913493943042004 " " absolute error = 1.6484591469634324000000000000E-12 " " relative error = 1.510477905212630200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.3999999999998507 " " y[1] (closed_form) = 11.023176380639956 " " y[1] (numeric) = 11.023176380641633 " " absolute error = 1.6768808563938364000000000000E-12 " " relative error = 1.52123199202268800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4099999999998496 " " y[1] (closed_form) = 11.13396114506363 " " y[1] (numeric) = 11.133961145065333 " " absolute error = 1.7035262089848402000000000000E-12 " " relative error = 1.530027082715407500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4199999999998485 " " y[1] (closed_form) = 11.245859314880143 " " y[1] (numeric) = 11.245859314881875 " " absolute error = 1.7319479184152442000000000000E-12 " " relative error = 1.540076102609241300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4299999999998474 " " y[1] (closed_form) = 11.358882079999724 " " y[1] (numeric) = 11.358882080001488 " " absolute error = 1.7639223415244487000000000000E-12 " " relative error = 1.552901358691181300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4399999999998463 " " y[1] (closed_form) = 11.47304074279307 " " y[1] (numeric) = 11.473040742794861 " " absolute error = 1.7905676941154525000000000000E-12 " " relative error = 1.56067404819443300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.449999999999845 " " y[1] (closed_form) = 11.588346719221596 " " y[1] (numeric) = 11.58834671922342 " " absolute error = 1.8243184740640572000000000000E-12 " " relative error = 1.57426984044070680000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.459999999999844 " " y[1] (closed_form) = 11.70481153997903 " " y[1] (numeric) = 11.704811539980884 " " absolute error = 1.8545165403338615000000000000E-12 " " relative error = 1.584405296915343800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.469999999999843 " " y[1] (closed_form) = 11.822446851644505 " " y[1] (numeric) = 11.822446851646392 " " absolute error = 1.886490963443066000000000000E-12 " " relative error = 1.595685721505827300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.479999999999842 " " y[1] (closed_form) = 11.941264417847215 " " y[1] (numeric) = 11.941264417849135 " " absolute error = 1.9202417433916708000000000000E-12 " " relative error = 1.608072375084257700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.489999999999841 " " y[1] (closed_form) = 12.061276120442797 " " y[1] (numeric) = 12.06127612044475 " " absolute error = 1.9539925233402755000000000000E-12 " " relative error = 1.620054547983053600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.4999999999998397 " " y[1] (closed_form) = 12.182493960701521 " " y[1] (numeric) = 12.182493960703507 " " absolute error = 1.98596694644948000000000000E-12 " " relative error = 1.63018094066440200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.5099999999998386 " " y[1] (closed_form) = 12.304930060508426 " " y[1] (numeric) = 12.304930060510447 " " absolute error = 2.021494083237485000000000000E-12 " " relative error = 1.642832647806174700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.5199999999998375 " " y[1] (closed_form) = 12.428596663575524 " " y[1] (numeric) = 12.42859666357758 " " absolute error = 2.0552448631860898000000000000E-12 " " relative error = 1.653641934659762500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.5299999999998364 " " y[1] (closed_form) = 12.553506136666178 " " y[1] (numeric) = 12.553506136668268 " " absolute error = 2.0907719999740948000000000000E-12 " " relative error = 1.665488491591512500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.5399999999998353 " " y[1] (closed_form) = 12.679670970831788 " " y[1] (numeric) = 12.679670970833913 " " absolute error = 2.1245227799226996000000000000E-12 " " relative error = 1.675534629258073300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.549999999999834 " " y[1] (closed_form) = 12.807103782660908 " " y[1] (numeric) = 12.807103782663066 " " absolute error = 2.1582735598713043000000000000E-12 " " relative error = 1.685215952410189500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.559999999999833 " " y[1] (closed_form) = 12.935817315540916 " " y[1] (numeric) = 12.935817315543114 " " absolute error = 2.19735341033810980000000000E-12 " " relative error = 1.69865835048415500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.569999999999832 " " y[1] (closed_form) = 13.065824440932364 " " y[1] (numeric) = 13.065824440934593 " " absolute error = 2.2293278334473143000000000000E-12 " " relative error = 1.70622821661625820000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.579999999999831 " " y[1] (closed_form) = 13.197138159656125 " " y[1] (numeric) = 13.197138159658394 " " absolute error = 2.26840768391411980000000000E-12 " " relative error = 1.718863329663911600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.5899999999998298 " " y[1] (closed_form) = 13.329771603193505 " " y[1] (numeric) = 13.329771603195809 " " absolute error = 2.303934820702124900000000000E-12 " " relative error = 1.728412826030834300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.5999999999998287 " " y[1] (closed_form) = 13.463738034999384 " " y[1] (numeric) = 13.463738035001725 " " absolute error = 2.34123831432953000000000000E-12 " " relative error = 1.738921470577793300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6099999999998276 " " y[1] (closed_form) = 13.599050851828581 " " y[1] (numeric) = 13.599050851830961 " " absolute error = 2.3803181647963356000000000000E-12 " " relative error = 1.750356102592460500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6199999999998265 " " y[1] (closed_form) = 13.735723585075542 " " y[1] (numeric) = 13.73572358507796 " " absolute error = 2.417621658423741000000000000E-12 " " relative error = 1.760097779668914600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6299999999998254 " " y[1] (closed_form) = 13.873769902127483 " " y[1] (numeric) = 13.87376990212994 " " absolute error = 2.4567015088905464000000000000E-12 " " relative error = 1.770752669405178700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6399999999998243 " " y[1] (closed_form) = 14.01320360773115 " " y[1] (numeric) = 14.013203607733647 " " absolute error = 2.497557716196752200000000000E-12 " " relative error = 1.78228889418179710000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.649999999999823 " " y[1] (closed_form) = 14.1540386453733 " " y[1] (numeric) = 14.15403864537584 " " absolute error = 2.540190280342358000000000000E-12 " " relative error = 1.794675247105320400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.659999999999822 " " y[1] (closed_form) = 14.296289098675057 " " y[1] (numeric) = 14.296289098677638 " " absolute error = 2.581046487648564000000000000E-12 " " relative error = 1.805396120513377600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.669999999999821 " " y[1] (closed_form) = 14.439969192800296 " " y[1] (numeric) = 14.43996919280292 " " absolute error = 2.62367905179417000000000000E-12 " " relative error = 1.81695612834293600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.67999999999982 " " y[1] (closed_form) = 14.585093295878162 " " y[1] (numeric) = 14.58509329588083 " " absolute error = 2.668087972779176000000000000E-12 " " relative error = 1.82932526974866500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6899999999998188 " " y[1] (closed_form) = 14.731675920439901 " " y[1] (numeric) = 14.731675920442612 " " absolute error = 2.7107205369247820000000000000E-12 " " relative error = 1.84006256420813090000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.6999999999998177 " " y[1] (closed_form) = 14.87973172487012 " " y[1] (numeric) = 14.879731724872878 " " absolute error = 2.7569058147491887000000000000E-12 " " relative error = 1.85279268855450600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7099999999998166 " " y[1] (closed_form) = 15.029275514872646 " " y[1] (numeric) = 15.029275514875444 " " absolute error = 2.7977620220553945000000000000E-12 " " relative error = 1.861541508961486200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7199999999998155 " " y[1] (closed_form) = 15.180322244951094 " " y[1] (numeric) = 15.180322244953938 " " absolute error = 2.843947299879801000000000000E-12 " " relative error = 1.873443299812482500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7299999999998144 " " y[1] (closed_form) = 15.33288701990435 " " y[1] (numeric) = 15.332887019907238 " " absolute error = 2.8883562208648070000000000000E-12 " " relative error = 1.883765410333549700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7399999999998133 " " y[1] (closed_form) = 15.486985096337042 " " y[1] (numeric) = 15.486985096339978 " " absolute error = 2.936317855528614000000000000E-12 " " relative error = 1.89599062520122600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.749999999999812 " " y[1] (closed_form) = 15.642631884185233 " " y[1] (numeric) = 15.642631884188214 " " absolute error = 2.9807267765136203000000000000E-12 " " relative error = 1.905514876641153400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.759999999999811 " " y[1] (closed_form) = 15.799842948257412 " " y[1] (numeric) = 15.799842948260443 " " absolute error = 3.0304647680168273000000000000E-12 " " relative error = 1.918034741194096200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.76999999999981 " " y[1] (closed_form) = 15.958634009790996 " " y[1] (numeric) = 15.958634009794075 " " absolute error = 3.078426402680634000000000000E-12 " " relative error = 1.929003698431800100000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.779999999999809 " " y[1] (closed_form) = 16.119020948024463 " " y[1] (numeric) = 16.11902094802759 " " absolute error = 3.126388037344441000000000000E-12 " " relative error = 1.939564473193149400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7899999999998077 " " y[1] (closed_form) = 16.2810198017853 " " y[1] (numeric) = 16.28101980178847 " " absolute error = 3.1725733151688473000000000000E-12 " " relative error = 1.948633042520443400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.7999999999998066 " " y[1] (closed_form) = 16.444646771093872 " " y[1] (numeric) = 16.44464677109709 " " absolute error = 3.218758592993254000000000000E-12 " " relative error = 1.957329116154160300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8099999999998055 " " y[1] (closed_form) = 16.60991821878347 " " y[1] (numeric) = 16.609918218786735 " " absolute error = 3.2649438708176604000000000000E-12 " " relative error = 1.96565920904142130000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8199999999998044 " " y[1] (closed_form) = 16.776850672136593 " " y[1] (numeric) = 16.776850672139908 " " absolute error = 3.3146818623208674000000000000E-12 " " relative error = 1.975747371838966800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8299999999998033 " " y[1] (closed_form) = 16.945460824537683 " " y[1] (numeric) = 16.945460824541055 " " absolute error = 3.3715252811816754000000000000E-12 " " relative error = 1.989633280612573600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8399999999998022 " " y[1] (closed_form) = 17.115765537142494 " " y[1] (numeric) = 17.115765537145915 " " absolute error = 3.4212632726848824000000000000E-12 " " relative error = 1.998895851465413400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.849999999999801 " " y[1] (closed_form) = 17.2877818405642 " " y[1] (numeric) = 17.28778184056767 " " absolute error = 3.4710012641880894000000000000E-12 " " relative error = 2.007777108827057000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8599999999998 " " y[1] (closed_form) = 17.461526936576497 " " y[1] (numeric) = 17.46152693658003 " " absolute error = 3.531397396727698000000000000E-12 " " relative error = 2.022387509153344700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.869999999999799 " " y[1] (closed_form) = 17.637018199833776 " " y[1] (numeric) = 17.637018199837357 " " absolute error = 3.581135388230905000000000000E-12 " " relative error = 2.030465324498364800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.879999999999798 " " y[1] (closed_form) = 17.8142731796086 " " y[1] (numeric) = 17.81427317961224 " " absolute error = 3.6415315207705135000000000000E-12 " " relative error = 2.044165082715163600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8899999999997967 " " y[1] (closed_form) = 17.993309601546656 " " y[1] (numeric) = 17.993309601550365 " " absolute error = 3.709033080667723000000000000E-12 " " relative error = 2.061340110742553300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.8999999999997956 " " y[1] (closed_form) = 18.174145369439348 " " y[1] (numeric) = 18.174145369443117 " " absolute error = 3.7694292132073315000000000000E-12 " " relative error = 2.074061330853993500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9099999999997945 " " y[1] (closed_form) = 18.356798567014152 " " y[1] (numeric) = 18.35679856701798 " " absolute error = 3.8262726320681395000000000000E-12 " " relative error = 2.08438994310460900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9199999999997934 " " y[1] (closed_form) = 18.54128745974304 " " y[1] (numeric) = 18.541287459746925 " " absolute error = 3.886668764607748000000000000E-12 " " relative error = 2.096223777904586400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9299999999997923 " " y[1] (closed_form) = 18.727630496669025 " " y[1] (numeric) = 18.72763049667297 " " absolute error = 3.943512183468556000000000000E-12 " " relative error = 2.105718704867636800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9399999999997912 " " y[1] (closed_form) = 18.91584631225109 " " y[1] (numeric) = 18.91584631225509 " " absolute error = 4.000355602329364000000000000E-12 " " relative error = 2.114817141297285000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.94999999999979 " " y[1] (closed_form) = 19.105953728227636 " " y[1] (numeric) = 19.105953728231697 " " absolute error = 4.0607517348689726000000000000E-12 " " relative error = 2.125385517326733300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.959999999999789 " " y[1] (closed_form) = 19.297971755498686 " " y[1] (numeric) = 19.297971755502807 " " absolute error = 4.121147867408581000000000000E-12 " " relative error = 2.135534199978460500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.969999999999788 " " y[1] (closed_form) = 19.491919596026985 " " y[1] (numeric) = 19.491919596031167 " " absolute error = 4.1815439999481896000000000000E-12 " " relative error = 2.145270494959618500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.979999999999787 " " y[1] (closed_form) = 19.687816644758204 " " y[1] (numeric) = 19.687816644762446 " " absolute error = 4.241940132487798000000000000E-12 " " relative error = 2.15460160414344200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9899999999997857 " " y[1] (closed_form) = 19.885682491560466 " " y[1] (numeric) = 19.885682491564776 " " absolute error = 4.309441692385007600000000000E-12 " " relative error = 2.167107764198662000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 2.9999999999997846 " " y[1] (closed_form) = 20.08553692318334 " " y[1] (numeric) = 20.085536923187718 " " absolute error = 4.376943252282217000000000000E-12 " " relative error = 2.179151729436824800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0099999999997835 " " y[1] (closed_form) = 20.28739992523654 " " y[1] (numeric) = 20.28739992524098 " " absolute error = 4.440892098500626000000000000E-12 " " relative error = 2.188990267292149300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0199999999997824 " " y[1] (closed_form) = 20.491291684188482 " " y[1] (numeric) = 20.49129168419299 " " absolute error = 4.508393658397835700000000000E-12 " " relative error = 2.200151033854351200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0299999999997813 " " y[1] (closed_form) = 20.697232589384978 " " y[1] (numeric) = 20.697232589389554 " " absolute error = 4.575895218295045000000000000E-12 " " relative error = 2.210872974699956700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.03999999999978 " " y[1] (closed_form) = 20.90524323508816 " " y[1] (numeric) = 20.90524323509281 " " absolute error = 4.650502205549855700000000000E-12 " " relative error = 2.224562590950520400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.049999999999779 " " y[1] (closed_form) = 21.115344422535948 " " y[1] (numeric) = 21.115344422540673 " " absolute error = 4.725109192804666000000000000E-12 " " relative error = 2.23776089001970520000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.059999999999778 " " y[1] (closed_form) = 21.327557162022167 " " y[1] (numeric) = 21.327557162026963 " " absolute error = 4.796163466380676000000000000E-12 " " relative error = 2.248810508369505400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.069999999999777 " " y[1] (closed_form) = 21.541902674997612 " " y[1] (numeric) = 21.54190267500248 " " absolute error = 4.867217739956686000000000000E-12 " " relative error = 2.259418684314163400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.079999999999776 " " y[1] (closed_form) = 21.7584023961922 " " y[1] (numeric) = 21.758402396197145 " " absolute error = 4.945377440890297300000000000E-12 " " relative error = 2.27285871032321600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0899999999997747 " " y[1] (closed_form) = 21.97707797575847 " " y[1] (numeric) = 21.977077975763486 " " absolute error = 5.016431714466307000000000000E-12 " " relative error = 2.282574471455949300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.0999999999997736 " " y[1] (closed_form) = 22.19795128143661 " " y[1] (numeric) = 22.197951281441693 " " absolute error = 5.083933274363517000000000000E-12 " " relative error = 2.290271390321969300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1099999999997725 " " y[1] (closed_form) = 22.421044400741245 " " y[1] (numeric) = 22.421044400746403 " " absolute error = 5.158540261618327000000000000E-12 " " relative error = 2.300758238294994300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1199999999997714 " " y[1] (closed_form) = 22.646379643170217 " " y[1] (numeric) = 22.646379643175457 " " absolute error = 5.240252676230739000000000000E-12 " " relative error = 2.313947199861199300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1299999999997703 " " y[1] (closed_form) = 22.873979542435556 " " y[1] (numeric) = 22.87397954244087 " " absolute error = 5.314859663485549000000000000E-12 " " relative error = 2.32353957195138680000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.139999999999769 " " y[1] (closed_form) = 23.10386685871685 " " y[1] (numeric) = 23.10386685872225 " " absolute error = 5.4001247917767610000000000000E-12 " " relative error = 2.33732510007923220000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.149999999999768 " " y[1] (closed_form) = 23.3360645809373 " " y[1] (numeric) = 23.336064580942782 " " absolute error = 5.481837206389173000000000000E-12 " " relative error = 2.349083834327044800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.159999999999767 " " y[1] (closed_form) = 23.570595929062634 " " y[1] (numeric) = 23.570595929068194 " " absolute error = 5.559996907322784000000000000E-12 " " relative error = 2.358869891985754800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.169999999999766 " " y[1] (closed_form) = 23.807484356423096 " " y[1] (numeric) = 23.807484356428745 " " absolute error = 5.6488147492927960000000000000E-12 " " relative error = 2.372705433604027600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.179999999999765 " " y[1] (closed_form) = 24.04675355205884 " " y[1] (numeric) = 24.046753552064576 " " absolute error = 5.737632591262809000000000000E-12 " " relative error = 2.386032101523144500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1899999999997637 " " y[1] (closed_form) = 24.288427443088818 " " y[1] (numeric) = 24.288427443094637 " " absolute error = 5.8193450058752200000000000000E-12 " " relative error = 2.395933215318595500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.1999999999997626 " " y[1] (closed_form) = 24.532530197103526 " " y[1] (numeric) = 24.53253019710943 " " absolute error = 5.9046101341664330000000000000E-12 " " relative error = 2.406849227016775700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.2099999999997615 " " y[1] (closed_form) = 24.779086224581786 " " y[1] (numeric) = 24.77908622458778 " " absolute error = 5.993427976136445000000000000E-12 " " relative error = 2.41874455006768520000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.2199999999997604 " " y[1] (closed_form) = 25.02812018133181 " " y[1] (numeric) = 25.028120181337897 " " absolute error = 6.085798531785258000000000000E-12 " " relative error = 2.431584349001402700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.2299999999997593 " " y[1] (closed_form) = 25.279656970956808 " " y[1] (numeric) = 25.279656970962986 " " absolute error = 6.178169087434071000000000000E-12 " " relative error = 2.443929161907545400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.239999999999758 " " y[1] (closed_form) = 25.53372174734535 " " y[1] (numeric) = 25.533721747351613 " " absolute error = 6.263434215725283000000000000E-12 " " relative error = 2.453004805841306800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.249999999999757 " " y[1] (closed_form) = 25.7903399171868 " " y[1] (numeric) = 25.790339917193155 " " absolute error = 6.355804771374096000000000000E-12 " " relative error = 2.464412951431694300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.259999999999756 " " y[1] (closed_form) = 26.049537142511983 " " y[1] (numeric) = 26.04953714251843 " " absolute error = 6.448175327022909000000000000E-12 " " relative error = 2.47535120940774820000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.269999999999755 " " y[1] (closed_form) = 26.311339343259444 " " y[1] (numeric) = 26.31133934326598 " " absolute error = 6.536993168992922000000000000E-12 " " relative error = 2.484477541683030300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.279999999999754 " " y[1] (closed_form) = 26.575772699867414 " " y[1] (numeric) = 26.575772699874054 " " absolute error = 6.640021865678136000000000000E-12 " " relative error = 2.498524479670637400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.2899999999997527 " " y[1] (closed_form) = 26.842863655891925 " " y[1] (numeric) = 26.84286365589866 " " absolute error = 6.73594513500575000000000000E-12 " " relative error = 2.509398856007388000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.2999999999997516 " " y[1] (closed_form) = 27.11263892065115 " " y[1] (numeric) = 27.112638920657986 " " absolute error = 6.835421118012164000000000000E-12 " " relative error = 2.521119813536764000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3099999999997505 " " y[1] (closed_form) = 27.385125471896384 " " y[1] (numeric) = 27.385125471903315 " " absolute error = 6.931344387339777000000000000E-12 " " relative error = 2.531061759951757600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3199999999997494 " " y[1] (closed_form) = 27.66035055850982 " " y[1] (numeric) = 27.66035055851685 " " absolute error = 7.030820370346191000000000000E-12 " " relative error = 2.541840659421119000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3299999999997483 " " y[1] (closed_form) = 27.938341703229472 " " y[1] (numeric) = 27.938341703236603 " " absolute error = 7.130296353352605000000000000E-12 " " relative error = 2.55215446539133530000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.339999999999747 " " y[1] (closed_form) = 28.21912670540148 " " y[1] (numeric) = 28.219126705408712 " " absolute error = 7.23332505003782000000000000E-12 " " relative error = 2.563270339848353600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.349999999999746 " " y[1] (closed_form) = 28.502733643760042 " " y[1] (numeric) = 28.502733643767375 " " absolute error = 7.332801033044234000000000000E-12 " " relative error = 2.572665879944314000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.359999999999745 " " y[1] (closed_form) = 28.789190879235335 " " y[1] (numeric) = 28.789190879242778 " " absolute error = 7.44293515708705000000000000E-12 " " relative error = 2.585322799903830000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.369999999999744 " " y[1] (closed_form) = 29.078527057789625 " " y[1] (numeric) = 29.078527057797174 " " absolute error = 7.549516567451064000000000000E-12 " " relative error = 2.596251368732475600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3799999999997428 " " y[1] (closed_form) = 29.37077111328188 " " y[1] (numeric) = 29.370771113289535 " " absolute error = 7.65609797781508000000000000E-12 " " relative error = 2.606706493433835000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3899999999997417 " " y[1] (closed_form) = 29.66595227036119 " " y[1] (numeric) = 29.66595227036895 " " absolute error = 7.762679388179095000000000000E-12 " " relative error = 2.616696513711670400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.3999999999997406 " " y[1] (closed_form) = 29.96410004738924 " " y[1] (numeric) = 29.964100047397114 " " absolute error = 7.87281351222191000000000000E-12 " " relative error = 2.62741530690752900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4099999999997395 " " y[1] (closed_form) = 30.265244259392198 " " y[1] (numeric) = 30.265244259400177 " " absolute error = 7.979394922585925000000000000E-12 " " relative error = 2.636487865155650600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4199999999997384 " " y[1] (closed_form) = 30.56941502104221 " " y[1] (numeric) = 30.56941502105031 " " absolute error = 8.100187187665142000000000000E-12 " " relative error = 2.649768463704471600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4299999999997373 " " y[1] (closed_form) = 30.876642749668928 " " y[1] (numeric) = 30.876642749677142 " " absolute error = 8.213874025386758000000000000E-12 " " relative error = 2.66022251576390370000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.439999999999736 " " y[1] (closed_form) = 31.186958168301235 " " y[1] (numeric) = 31.18695816830956 " " absolute error = 8.324008149429574000000000000E-12 " " relative error = 2.669067019780783000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.449999999999735 " " y[1] (closed_form) = 31.500392308739585 " " y[1] (numeric) = 31.500392308748026 " " absolute error = 8.44124770082999000000000000E-12 " " relative error = 2.679727800878219400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.459999999999734 " " y[1] (closed_form) = 31.816976514659228 " " y[1] (numeric) = 31.816976514667793 " " absolute error = 8.565592679588008000000000000E-12 " " relative error = 2.692145394657952700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.469999999999733 " " y[1] (closed_form) = 32.13674244474457 " " y[1] (numeric) = 32.13674244475325 " " absolute error = 8.682832230988424000000000000E-12 " " relative error = 2.70183956756586460000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4799999999997318 " " y[1] (closed_form) = 32.45972207585509 " " y[1] (numeric) = 32.4597220758639 " " absolute error = 8.810729923425242000000000000E-12 " " relative error = 2.714357782495937000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4899999999997307 " " y[1] (closed_form) = 32.785947706223055 " " y[1] (numeric) = 32.785947706231994 " " absolute error = 8.93862761586206000000000000E-12 " " relative error = 2.72635938297596700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.4999999999997295 " " y[1] (closed_form) = 33.11545195868336 " " y[1] (numeric) = 33.115451958692425 " " absolute error = 9.066525308298878000000000000E-12 " " relative error = 2.737853410429297300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5099999999997284 " " y[1] (closed_form) = 33.448267783935826 " " y[1] (numeric) = 33.44826778394503 " " absolute error = 9.201528428093297000000000000E-12 " " relative error = 2.750973081037251000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5199999999997273 " " y[1] (closed_form) = 33.78442846384034 " " y[1] (numeric) = 33.78442846384968 " " absolute error = 9.336531547887716000000000000E-12 " " relative error = 2.763560602447562000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5299999999997262 " " y[1] (closed_form) = 34.12396761474503 " " y[1] (numeric) = 34.123967614754484 " " absolute error = 9.457323812966933000000000000E-12 " " relative error = 2.77146078666432900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.539999999999725 " " y[1] (closed_form) = 34.46691919084791 " " y[1] (numeric) = 34.46691919085751 " " absolute error = 9.599432360118954000000000000E-12 " " relative error = 2.785114708676345600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.549999999999724 " " y[1] (closed_form) = 34.813317487592414 " " y[1] (numeric) = 34.81331748760215 " " absolute error = 9.734435479913373000000000000E-12 " " relative error = 2.796181513980321000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.559999999999723 " " y[1] (closed_form) = 35.163197145096866 " " y[1] (numeric) = 35.163197145106736 " " absolute error = 9.869438599707792000000000000E-12 " " relative error = 2.806752343645742600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.569999999999722 " " y[1] (closed_form) = 35.51659315161860 " " y[1] (numeric) = 35.5165931516286 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 2.816835972074726000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5799999999997207 " " y[1] (closed_form) = 35.873540847052745 " " y[1] (numeric) = 35.87354084706289 " " absolute error = 1.01465502666542300000000000E-11 " " relative error = 2.828421735650284400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5899999999997196 " " y[1] (closed_form) = 36.23407592646631 " " y[1] (numeric) = 36.2340759264766 " " absolute error = 1.02886588138062500000000000E-11 " " relative error = 2.839498055555805000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.5999999999997185 " " y[1] (closed_form) = 36.598234443667685 " " y[1] (numeric) = 36.59823444367812 " " absolute error = 1.043787278831587200000000000E-11 " " relative error = 2.852015390081708600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6099999999997174 " " y[1] (closed_form) = 36.96605281481206 " " y[1] (numeric) = 36.96605281482264 " " absolute error = 1.057998133546789200000000000E-11 " " relative error = 2.86208034936003830000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6199999999997163 " " y[1] (closed_form) = 37.33756782204306 " " y[1] (numeric) = 37.33756782205379 " " absolute error = 1.072919530997751300000000000E-11 " " relative error = 2.873565670135400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6299999999997152 " " y[1] (closed_form) = 37.71281661717101 " " y[1] (numeric) = 37.712816617181886 " " absolute error = 1.087840928448713400000000000E-11 " " relative error = 2.884539066629695500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.639999999999714 " " y[1] (closed_form) = 38.09183672538813 " " y[1] (numeric) = 38.09183672539915 " " absolute error = 1.102051783163915400000000000E-11 " " relative error = 2.893144247962714500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.649999999999713 " " y[1] (closed_form) = 38.47466604902108 " " y[1] (numeric) = 38.47466604903226 " " absolute error = 1.117683723350637600000000000E-11 " " relative error = 2.90498615875335200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.659999999999712 " " y[1] (closed_form) = 38.86134287132127 " " y[1] (numeric) = 38.861342871332596 " " absolute error = 1.132605120801599700000000000E-11 " " relative error = 2.914477568497600400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.669999999999711 " " y[1] (closed_form) = 39.25190586029315 " " y[1] (numeric) = 39.25190586030464 " " absolute error = 1.14894760372408200000000000E-11 " " relative error = 2.927112909659620500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6799999999997097 " " y[1] (closed_form) = 39.64639407256109 " " y[1] (numeric) = 39.64639407257274 " " absolute error = 1.165290086646564300000000000E-11 " " relative error = 2.939208253123456500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6899999999997086 " " y[1] (closed_form) = 40.044846957275055 " " y[1] (numeric) = 40.04484695728687 " " absolute error = 1.181632569569046600000000000E-11 " " relative error = 2.95077309405068430000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.6999999999997075 " " y[1] (closed_form) = 40.44730436005556 " " y[1] (numeric) = 40.44730436006754 " " absolute error = 1.197975052491528900000000000E-11 " " relative error = 2.9618167921089200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7099999999997064 " " y[1] (closed_form) = 40.853806526978275 " " y[1] (numeric) = 40.85380652699042 " " absolute error = 1.214317535414011200000000000E-11 " " relative error = 2.9723485732281100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7199999999997053 " " y[1] (closed_form) = 41.26439410859864 " " y[1] (numeric) = 41.26439410861095 " " absolute error = 1.231370561072253600000000000E-11 " " relative error = 2.984099458316441500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.729999999999704 " " y[1] (closed_form) = 41.67910816401697 " " y[1] (numeric) = 41.67910816402946 " " absolute error = 1.249134129466256100000000000E-11 " " relative error = 2.997027010632337700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.739999999999703 " " y[1] (closed_form) = 42.0979901649844 " " y[1] (numeric) = 42.097990164997064 " " absolute error = 1.266187155124498500000000000E-11 " " relative error = 3.00771402663699500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.749999999999702 " " y[1] (closed_form) = 42.521082000050114 " " y[1] (numeric) = 42.52108200006295 " " absolute error = 1.28324018078274100000000000E-11 " " relative error = 3.01789164438766800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.759999999999701 " " y[1] (closed_form) = 42.94842597875018 " " y[1] (numeric) = 42.94842597876319 " " absolute error = 1.301003749176743400000000000E-11 " " relative error = 3.029223352260797500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7699999999997 " " y[1] (closed_form) = 43.380064835838596 " " y[1] (numeric) = 43.380064835851776 " " absolute error = 1.318056774834985800000000000E-11 " " relative error = 3.038392818966163500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7799999999996987 " " y[1] (closed_form) = 43.816041735560766 " " y[1] (numeric) = 43.81604173557414 " " absolute error = 1.337241428700508500000000000E-11 " " relative error = 3.051944848809138000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7899999999996976 " " y[1] (closed_form) = 44.25640027596999 " " y[1] (numeric) = 44.256400275983545 " " absolute error = 1.355715539830271200000000000E-11 " " relative error = 3.06332085613928100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.7999999999996965 " " y[1] (closed_form) = 44.70118449328726 " " y[1] (numeric) = 44.70118449330099 " " absolute error = 1.373479108224273700000000000E-11 " " relative error = 3.07257877793043250000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8099999999996954 " " y[1] (closed_form) = 45.15043886630497 " " y[1] (numeric) = 45.15043886631890 " " absolute error = 1.392663762089796400000000000E-11 " " relative error = 3.08449662297550500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8199999999996943 " " y[1] (closed_form) = 45.60420832083480 " " y[1] (numeric) = 45.60420832084891 " " absolute error = 1.41184841595531900000000000E-11 " " relative error = 3.095873095795635400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.829999999999693 " " y[1] (closed_form) = 46.06253823420034 " " y[1] (numeric) = 46.06253823421465 " " absolute error = 1.431033069820841800000000000E-11 " " relative error = 3.106717789942226600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.839999999999692 " " y[1] (closed_form) = 46.52547443977488 " " y[1] (numeric) = 46.525474439789384 " " absolute error = 1.450217723686364500000000000E-11 " " relative error = 3.11704016165080800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.849999999999691 " " y[1] (closed_form) = 46.99306323156476 " " y[1] (numeric) = 46.993063231579455 " " absolute error = 1.469402377551887200000000000E-11 " " relative error = 3.1268495316238604000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.85999999999969 " " y[1] (closed_form) = 47.46535136883881 " " y[1] (numeric) = 47.4653513688537 " " absolute error = 1.4892975741531700000000000E-11 " " relative error = 3.137652058193547400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.869999999999689 " " y[1] (closed_form) = 47.94238608080433 " " y[1] (numeric) = 47.94238608081942 " " absolute error = 1.508482228018692700000000000E-11 " " relative error = 3.14644795833946670000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8799999999996877 " " y[1] (closed_form) = 48.42421507133005 " " y[1] (numeric) = 48.424215071345344 " " absolute error = 1.529087967355735600000000000E-11 " " relative error = 3.157692830133337000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8899999999996866 " " y[1] (closed_form) = 48.910886523716556 " " y[1] (numeric) = 48.910886523732046 " " absolute error = 1.548983163957018400000000000E-11 " " relative error = 3.16694967940506900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.8999999999996855 " " y[1] (closed_form) = 49.402449105514634 " " y[1] (numeric) = 49.402449105530344 " " absolute error = 1.571009988765581500000000000E-11 " " relative error = 3.18002450730770500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9099999999996844 " " y[1] (closed_form) = 49.898951973392116 " " y[1] (numeric) = 49.89895197340804 " " absolute error = 1.592326270838384500000000000E-11 " " relative error = 3.191101632129406000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9199999999996833 " " y[1] (closed_form) = 50.400444778049525 " " y[1] (numeric) = 50.400444778065655 " " absolute error = 1.612932010175427400000000000E-11 " " relative error = 3.20023368301284100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.929999999999682 " " y[1] (closed_form) = 50.90697766918525 " " y[1] (numeric) = 50.9069776692016 " " absolute error = 1.634958834983990500000000000E-11 " " relative error = 3.21165959921768330000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.939999999999681 " " y[1] (closed_form) = 51.41860130051052 " " y[1] (numeric) = 51.41860130052709 " " absolute error = 1.656985659792553600000000000E-11 " " relative error = 3.222541294167996500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.94999999999968 " " y[1] (closed_form) = 51.935366834814815 " " y[1] (numeric) = 51.935366834831605 " " absolute error = 1.679012484601116700000000000E-11 " " relative error = 3.23288846681562770000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.959999999999679 " " y[1] (closed_form) = 52.457325949082204 " " y[1] (numeric) = 52.45732594909923 " " absolute error = 1.702460394881200000000000E-11 " " relative error = 3.245419708457301700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.969999999999678 " " y[1] (closed_form) = 52.98453083965909 " " y[1] (numeric) = 52.98453083967634 " " absolute error = 1.725197762425523300000000000E-11 " " relative error = 3.25604046140615670000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9799999999996767 " " y[1] (closed_form) = 53.51703422747386 " " y[1] (numeric) = 53.517034227491344 " " absolute error = 1.748645672705606600000000000E-11 " " relative error = 3.267456236967463000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9899999999996756 " " y[1] (closed_form) = 54.05488936330905 " " y[1] (numeric) = 54.05488936332679 " " absolute error = 1.7735146684572100000000000E-11 " " relative error = 3.28095143537750400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 3.9999999999996745 " " y[1] (closed_form) = 54.598150033126466 " " y[1] (numeric) = 54.59815003314444 " " absolute error = 1.797673121473053500000000000E-11 " " relative error = 3.29255317328947400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.009999999999677 " " y[1] (closed_form) = 55.14687056344602 " " y[1] (numeric) = 55.14687056346401 " " absolute error = 1.799094206944573700000000000E-11 " " relative error = 3.26236863227756600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.019999999999680 " " y[1] (closed_form) = 55.701105826777834 " " y[1] (numeric) = 55.70110582679581 " " absolute error = 1.797673121473053500000000000E-11 " " relative error = 3.22735625225026900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.029999999999684 " " y[1] (closed_form) = 56.260911247110066 " " y[1] (numeric) = 56.26091124712802 " " absolute error = 1.795541493265773200000000000E-11 " " relative error = 3.191454694680232500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.039999999999687 " " y[1] (closed_form) = 56.82634280545126 " " y[1] (numeric) = 56.826342805469196 " " absolute error = 1.79340986505849300000000000E-11 " " relative error = 3.15594806302835650000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.049999999999690 " " y[1] (closed_form) = 57.397457045428446 " " y[1] (numeric) = 57.397457045446366 " " absolute error = 1.791988779586972700000000000E-11 " " relative error = 3.122069986774265000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.059999999999694 " " y[1] (closed_form) = 57.974311078941554 " " y[1] (numeric) = 57.97431107895945 " " absolute error = 1.789857151379692400000000000E-11 " " relative error = 3.08732802178969800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.069999999999697 " " y[1] (closed_form) = 58.55696259187465 " " y[1] (numeric) = 58.55696259189252 " " absolute error = 1.78701498043665200000000000E-11 " " relative error = 3.051754908962129000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.079999999999700 " " y[1] (closed_form) = 59.14546984986457 " " y[1] (numeric) = 59.14546984988242 " " absolute error = 1.784883352229371700000000000E-11 " " relative error = 3.017785397191259000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.089999999999704 " " y[1] (closed_form) = 59.73989170412753 " " y[1] (numeric) = 59.739891704145364 " " absolute error = 1.783462266757851500000000000E-11 " " relative error = 2.98537914261841400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.099999999999707 " " y[1] (closed_form) = 60.340287597344314 " " y[1] (numeric) = 60.34028759736213 " " absolute error = 1.781330638550571200000000000E-11 " " relative error = 2.95214144559193500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.109999999999710 " " y[1] (closed_form) = 60.94671756960458 " " y[1] (numeric) = 60.946717569622365 " " absolute error = 1.778488467607530800000000000E-11 " " relative error = 2.91810377741245350000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.119999999999714 " " y[1] (closed_form) = 61.55924226441092 " " y[1] (numeric) = 61.55924226442866 " " absolute error = 1.774225211192970200000000000E-11 " " relative error = 2.882142706650401000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.1299999999997175 " " y[1] (closed_form) = 62.177922934743236 " " y[1] (numeric) = 62.177922934760936 " " absolute error = 1.769961954778409600000000000E-11 " " relative error = 2.846608363930095000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.139999999999720 " " y[1] (closed_form) = 62.80282144918414 " " y[1] (numeric) = 62.802821449201815 " " absolute error = 1.767830326571129300000000000E-11 " " relative error = 2.814889977517236500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.149999999999724 " " y[1] (closed_form) = 63.43400029810582 " " y[1] (numeric) = 63.43400029812347 " " absolute error = 1.76498815562808900000000000E-11 " " relative error = 2.782400837616404400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.1599999999997275 " " y[1] (closed_form) = 64.07152259991916 " " y[1] (numeric) = 64.07152259993678 " " absolute error = 1.762145984685048500000000000E-11 " " relative error = 2.750279551944457300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.169999999999730 " " y[1] (closed_form) = 64.71545210738562 " " y[1] (numeric) = 64.7154521074032 " " absolute error = 1.75788272827048790000000000E-11 " " relative error = 2.716326118457063600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.179999999999734 " " y[1] (closed_form) = 65.36585321399254 " " y[1] (numeric) = 65.36585321401009 " " absolute error = 1.755040557327447500000000000E-11 " " relative error = 2.684950124619126000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.1899999999997375 " " y[1] (closed_form) = 66.02279096039258 " " y[1] (numeric) = 66.02279096041008 " " absolute error = 1.749356215441366700000000000E-11 " " relative error = 2.64962475835172500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.199999999999740 " " y[1] (closed_form) = 66.68633104090786 " " y[1] (numeric) = 66.6863310409253 " " absolute error = 1.74367187355528590000000000E-11 " " relative error = 2.614736552961135500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.209999999999744 " " y[1] (closed_form) = 67.35653981009935 " " y[1] (numeric) = 67.35653981011676 " " absolute error = 1.740829702612245500000000000E-11 " " relative error = 2.584499897887016500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.2199999999997475 " " y[1] (closed_form) = 68.0334842894025 " " y[1] (numeric) = 68.03348428941983 " " absolute error = 1.733724275254644500000000000E-11 " " relative error = 2.548339679149293500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.229999999999750 " " y[1] (closed_form) = 68.71723217382934 " " y[1] (numeric) = 68.71723217384663 " " absolute error = 1.728039933368563700000000000E-11 " " relative error = 2.51471119936445900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.239999999999754 " " y[1] (closed_form) = 69.40785183873813 " " y[1] (numeric) = 69.40785183875535 " " absolute error = 1.72235559148248290000000000E-11 " " relative error = 2.481499637078807300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.2499999999997575 " " y[1] (closed_form) = 70.10541234667086 " " y[1] (numeric) = 70.10541234668803 " " absolute error = 1.71667124959640200000000000E-11 " " relative error = 2.44870002491030600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.259999999999760 " " y[1] (closed_form) = 70.80998345425964 " " y[1] (numeric) = 70.80998345427673 " " absolute error = 1.70956582223880100000000000E-11 " " relative error = 2.414300553174272300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.269999999999764 " " y[1] (closed_form) = 71.52163561920236 " " y[1] (numeric) = 71.52163561921938 " " absolute error = 1.702460394881200000000000E-11 " " relative error = 2.38034320683812500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.2799999999997675 " " y[1] (closed_form) = 72.24044000730856 " " y[1] (numeric) = 72.2404400073255 " " absolute error = 1.69393388205207880000000000E-11 " " relative error = 2.34485543260908120000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.289999999999770 " " y[1] (closed_form) = 72.96646849961608 " " y[1] (numeric) = 72.96646849963294 " " absolute error = 1.685407369222957600000000000E-11 " " relative error = 2.309838209083430500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.299999999999774 " " y[1] (closed_form) = 73.69979369957916 " " y[1] (numeric) = 73.69979369959594 " " absolute error = 1.678301941865356600000000000E-11 " " relative error = 2.27721389384966500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.309999999999778 " " y[1] (closed_form) = 74.44048894032889 " " y[1] (numeric) = 74.44048894034562 " " absolute error = 1.672617599979275800000000000E-11 " " relative error = 2.246919148153416200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.319999999999781 " " y[1] (closed_form) = 75.18862829200661 " " y[1] (numeric) = 75.18862829202322 " " absolute error = 1.661248916207114200000000000E-11 " " relative error = 2.20944171205703920000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.329999999999784 " " y[1] (closed_form) = 75.94428656917094 " " y[1] (numeric) = 75.94428656918747 " " absolute error = 1.65272240337799300000000000E-11 " " relative error = 2.176230073440316400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.339999999999788 " " y[1] (closed_form) = 76.7075393382793 " " y[1] (numeric) = 76.70753933829575 " " absolute error = 1.644195890548871800000000000E-11 " " relative error = 2.14346060991213400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.349999999999791 " " y[1] (closed_form) = 77.47846292524466 " " y[1] (numeric) = 77.47846292526101 " " absolute error = 1.635669377719750600000000000E-11 " " relative error = 2.111127810186337300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.359999999999794 " " y[1] (closed_form) = 78.25713442306815 " " y[1] (numeric) = 78.25713442308442 " " absolute error = 1.627142864890629400000000000E-11 " " relative error = 2.07922622887529380000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.369999999999798 " " y[1] (closed_form) = 79.04363169954846 " " y[1] (numeric) = 79.04363169956461 " " absolute error = 1.615774181118467800000000000E-11 " " relative error = 2.04415478689056500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.379999999999801 " " y[1] (closed_form) = 79.83803340506863 " " y[1] (numeric) = 79.83803340508466 " " absolute error = 1.60298441187478600000000000E-11 " " relative error = 2.007795462272769800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.389999999999804 " " y[1] (closed_form) = 80.64041898046122 " " y[1] (numeric) = 80.64041898047714 " " absolute error = 1.591615728102624400000000000E-11 " " relative error = 1.973719566720338300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.399999999999808 " " y[1] (closed_form) = 81.45086866495245 " " y[1] (numeric) = 81.45086866496824 " " absolute error = 1.578825958858942600000000000E-11 " " relative error = 1.938378294470291500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.409999999999811 " " y[1] (closed_form) = 82.26946350418612 " " y[1] (numeric) = 82.2694635042018 " " absolute error = 1.56745727508678100000000000E-11 " " relative error = 1.905272270320595700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.419999999999814 " " y[1] (closed_form) = 83.09628535832833 " " y[1] (numeric) = 83.09628535834386 " " absolute error = 1.55324642037157900000000000E-11 " " relative error = 1.869212821817076400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.429999999999818 " " y[1] (closed_form) = 83.93141691025353 " " y[1] (numeric) = 83.93141691026892 " " absolute error = 1.53903556565637700000000000E-11 " " relative error = 1.833682335307221500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.439999999999821 " " y[1] (closed_form) = 84.77494167381282 " " y[1] (numeric) = 84.7749416738281 " " absolute error = 1.527666881884215400000000000E-11 " " relative error = 1.802026461737000800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.449999999999824 " " y[1] (closed_form) = 85.62694400218552 " " y[1] (numeric) = 85.62694400220067 " " absolute error = 1.514877112640533600000000000E-11 " " relative error = 1.769159381189486500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.459999999999828 " " y[1] (closed_form) = 86.48750909631448 " " y[1] (numeric) = 86.48750909632949 " " absolute error = 1.500666257925331600000000000E-11 " " relative error = 1.735124844738163100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.469999999999831 " " y[1] (closed_form) = 87.35672301342625 " " y[1] (numeric) = 87.3567230134411 " " absolute error = 1.485034317738609400000000000E-11 " " relative error = 1.699965688399698300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.479999999999834 " " y[1] (closed_form) = 88.23467267563686 " " y[1] (numeric) = 88.23467267565158 " " absolute error = 1.472244548494927600000000000E-11 " " relative error = 1.668555573280253400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.489999999999838 " " y[1] (closed_form) = 89.12144587864418 " " y[1] (numeric) = 89.12144587865876 " " absolute error = 1.458033693779725600000000000E-11 " " relative error = 1.636007674028444300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.499999999999841 " " y[1] (closed_form) = 90.0171313005075 " " y[1] (numeric) = 90.01713130052191 " " absolute error = 1.440980668121483200000000000E-11 " " relative error = 1.600784925383818800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.509999999999844 " " y[1] (closed_form) = 90.9218185105154 " " y[1] (numeric) = 90.92181851052963 " " absolute error = 1.423927642463240800000000000E-11 " " relative error = 1.566101146886496600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.519999999999848 " " y[1] (closed_form) = 91.83559797814279 " " y[1] (numeric) = 91.83559797815687 " " absolute error = 1.408295702276518600000000000E-11 " " relative error = 1.533496523441485200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.529999999999851 " " y[1] (closed_form) = 92.75856108209793 " " y[1] (numeric) = 92.75856108211183 " " absolute error = 1.38982159114675600000000000E-11 " " relative error = 1.49832163730597880000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.539999999999854 " " y[1] (closed_form) = 93.69080011946033 " " y[1] (numeric) = 93.69080011947406 " " absolute error = 1.372768565488513600000000000E-11 " " relative error = 1.4652117003357500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.549999999999858 " " y[1] (closed_form) = 94.6324083149106 " " y[1] (numeric) = 94.63240831492418 " " absolute error = 1.357136625301791400000000000E-11 " " relative error = 1.434114009637812700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.559999999999861 " " y[1] (closed_form) = 95.583479830053 " " y[1] (numeric) = 95.5834798300664 " " absolute error = 1.34008359964354900000000000E-11 " " relative error = 1.402003360859232000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.569999999999864 " " y[1] (closed_form) = 96.54410977283156 " " y[1] (numeric) = 96.54410977284478 " " absolute error = 1.321609488513786300000000000E-11 " " relative error = 1.3689177844443700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.579999999999868 " " y[1] (closed_form) = 97.51439420704111 " " y[1] (numeric) = 97.51439420705414 " " absolute error = 1.303135377384023700000000000E-11 " " relative error = 1.33635181552502500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.589999999999871 " " y[1] (closed_form) = 98.49443016193362 " " y[1] (numeric) = 98.49443016194645 " " absolute error = 1.28324018078274100000000000E-11 " " relative error = 1.302855581450625700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.599999999999874 " " y[1] (closed_form) = 99.48431564192131 " " y[1] (numeric) = 99.48431564193393 " " absolute error = 1.26192389870993800000000000E-11 " " relative error = 1.268465175206151300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.609999999999878 " " y[1] (closed_form) = 100.48414963637707 " " y[1] (numeric) = 100.48414963638947 " " absolute error = 1.24060761663713490000000000E-11 " " relative error = 1.234630159210714600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.619999999999881 " " y[1] (closed_form) = 101.49403212953355 " " y[1] (numeric) = 101.4940321295457 " " absolute error = 1.215028078149771300000000000E-11 " " relative error = 1.197142386262741300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.629999999999884 " " y[1] (closed_form) = 102.51406411048163 " " y[1] (numeric) = 102.51406411049356 " " absolute error = 1.193711796076968300000000000E-11 " " relative error = 1.164437100835724600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.639999999999888 " " y[1] (closed_form) = 103.54434758326943 " " y[1] (numeric) = 103.54434758328114 " " absolute error = 1.170974428532645100000000000E-11 " " relative error = 1.130891696034839600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.649999999999891 " " y[1] (closed_form) = 104.5849855771028 " " y[1] (numeric) = 104.58498557711427 " " absolute error = 1.146815975516801700000000000E-11 " " relative error = 1.09653978454807800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.6599999999998944 " " y[1] (closed_form) = 105.63608215664834 " " y[1] (numeric) = 105.63608215665955 " " absolute error = 1.121236437029438100000000000E-11 " " relative error = 1.061414257456794200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.669999999999898 " " y[1] (closed_form) = 106.69774243243992 " " y[1] (numeric) = 106.6977424324509 " " absolute error = 1.097077984013594700000000000E-11 " " relative error = 1.028211055832090300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.679999999999901 " " y[1] (closed_form) = 107.77007257138983 " " y[1] (numeric) = 107.77007257140055 " " absolute error = 1.07149844552623110000000000E-11 " " relative error = 9.942448956007164000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.6899999999999045 " " y[1] (closed_form) = 108.85317980740558 " " y[1] (numeric) = 108.85317980741604 " " absolute error = 1.045918907038867500000000000E-11 " " relative error = 9.608528743849436000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.699999999999908 " " y[1] (closed_form) = 109.94717245211336 " " y[1] (numeric) = 109.94717245212358 " " absolute error = 1.02176045402302400000000000E-11 " " relative error = 9.29319446089478900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.709999999999911 " " y[1] (closed_form) = 111.05215990568931 " " y[1] (numeric) = 111.05215990569924 " " absolute error = 9.9333874459262010000000000E-12 " " relative error = 8.944794459074095000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.7199999999999145 " " y[1] (closed_form) = 112.1682526677996 " " y[1] (numeric) = 112.16825266780928 " " absolute error = 9.677592061052565000000000000E-12 " " relative error = 8.62774611432521000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.729999999999918 " " y[1] (closed_form) = 113.29556234865056 " " y[1] (numeric) = 113.29556234865994 " " absolute error = 9.379164112033322000000000000E-12 " " relative error = 8.278492041171315000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.739999999999921 " " y[1] (closed_form) = 114.43420168014966 " " y[1] (numeric) = 114.43420168015876 " " absolute error = 9.109157872444484000000000000E-12 " " relative error = 7.960170769491728000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.7499999999999245 " " y[1] (closed_form) = 115.58428452717894 " " y[1] (numeric) = 115.58428452718778 " " absolute error = 8.839151632855646000000000000E-12 " " relative error = 7.647364578163889000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.759999999999928 " " y[1] (closed_form) = 116.7459258989815 " " y[1] (numeric) = 116.74592589899002 " " absolute error = 8.526512829121202000000000000E-12 " " relative error = 7.30347784170136000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.769999999999931 " " y[1] (closed_form) = 117.91924196066255 " " y[1] (numeric) = 117.91924196067077 " " absolute error = 8.22808488010196000000000000E-12 " " relative error = 6.97772877716329000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.7799999999999345 " " y[1] (closed_form) = 119.10435004480605 " " y[1] (numeric) = 119.10435004481394 " " absolute error = 7.887024366937112000000000000E-12 " " relative error = 6.621944844138842000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.789999999999938 " " y[1] (closed_form) = 120.301368663208 " " y[1] (numeric) = 120.30136866321557 " " absolute error = 7.574385563202668000000000000E-12 " " relative error = 6.296175718837983000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.799999999999941 " " y[1] (closed_form) = 121.51041751872773 " " y[1] (numeric) = 121.510417518735 " " absolute error = 7.261746759468224000000000000E-12 " " relative error = 5.976233896446789000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.8099999999999445 " " y[1] (closed_form) = 122.73161751725839 " " y[1] (numeric) = 122.73161751726529 " " absolute error = 6.906475391588174000000000000E-12 " " relative error = 5.6272992496143000000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.819999999999948 " " y[1] (closed_form) = 123.96509077981744 " " y[1] (numeric) = 123.96509077982401 " " absolute error = 6.565414878423326000000000000E-12 " " relative error = 5.296180430412132000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.829999999999951 " " y[1] (closed_form) = 125.21096065475909 " " y[1] (numeric) = 125.2109606547653 " " absolute error = 6.210143510543276000000000000E-12 " " relative error = 4.959744321159186000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.839999999999955 " " y[1] (closed_form) = 126.46935173010904 " " y[1] (numeric) = 126.46935173011487 " " absolute error = 5.8264504332328220000000000000E-12 " " relative error = 4.6070058504504025000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.849999999999958 " " y[1] (closed_form) = 127.74038984602348 " " y[1] (numeric) = 127.74038984602895 " " absolute error = 5.4711790653527710000000000000E-12 " " relative error = 4.283045536300348000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.859999999999961 " " y[1] (closed_form) = 129.0242021073732 " " y[1] (numeric) = 129.0242021073783 " " absolute error = 5.087485988042317000000000000E-12 " " relative error = 3.943047819670716000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.869999999999965 " " y[1] (closed_form) = 130.3209168964542 " " y[1] (numeric) = 130.32091689645893 " " absolute error = 4.718003765447065000000000000E-12 " " relative error = 3.6202966321943010000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.879999999999968 " " y[1] (closed_form) = 131.630663885826 " " y[1] (numeric) = 131.6306638858303 " " absolute error = 4.291678123991005000000000000E-12 " " relative error = 3.2603938909808483000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.889999999999971 " " y[1] (closed_form) = 132.95357405127896 " " y[1] (numeric) = 132.9535740512829 " " absolute error = 3.950617610826157000000000000E-12 " " relative error = 2.9714264088172915000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.899999999999975 " " y[1] (closed_form) = 134.28977968493209 " " y[1] (numeric) = 134.2897796849356 " " absolute error = 3.524291969370097000000000000E-12 " " relative error = 2.6243932916106630000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.909999999999978 " " y[1] (closed_form) = 135.63941440846222 " " y[1] (numeric) = 135.63941440846537 " " absolute error = 3.154809746774845000000000000E-12 " " relative error = 2.3258798045784132000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.919999999999981 " " y[1] (closed_form) = 137.00261318646642 " " y[1] (numeric) = 137.00261318646915 " " absolute error = 2.7284841053187847000000000000E-12 " " relative error = 1.991556249810506000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.929999999999985 " " y[1] (closed_form) = 138.37951233995852 " " y[1] (numeric) = 138.3795123399608 " " absolute error = 2.2737367544323206000000000000E-12 " " relative error = 1.643116611689168000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.939999999999988 " " y[1] (closed_form) = 139.77024956000128 " " y[1] (numeric) = 139.77024956000307 " " absolute error = 1.7905676941154525000000000000E-12 " " relative error = 1.2810792709837643000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.949999999999991 " " y[1] (closed_form) = 141.1749639214756 " " y[1] (numeric) = 141.17496392147694 " " absolute error = 1.3358203432289883000000000000E-12 " " relative error = 9.4621617468377670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.959999999999995 " " y[1] (closed_form) = 142.59379589698833 " " y[1] (numeric) = 142.5937958969892 " " absolute error = 8.8107299234252420000000000000E-13 " " relative error = 6.1789013105382450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.969999999999998 " " y[1] (closed_form) = 144.0268873709193 " " y[1] (numeric) = 144.02688737091967 " " absolute error = 3.6948222259525210000000000000E-13 " " relative error = 2.56536976768585560000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.980000000000001 " " y[1] (closed_form) = 145.47438165361018 " " y[1] (numeric) = 145.4743816536101 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 5.86117825846734100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = 1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = 4.990000000000005 " " y[1] (closed_form) = 146.93642349569546 " " y[1] (numeric) = 146.93642349569492 " " absolute error = 5.4001247917767610000000000000E-13 " " relative error = 3.675143754900880300000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 1.000E-3 " " "Finished!" "diff ( y , x , 1 ) = y ; " Iterations = 10000 "Total Elapsed Time "= 2 Minutes 3 Seconds "Elapsed Time(since restart) "= 2 Minutes 3 Seconds "Time to Timeout "= 56 Seconds Percent Done = 100.01000000000009 "%" (%o250) temp/diffeq.diff0.max