(%i1) batch("temp/diffeq.sing6_back.max")
read and interpret file: /home/dennis/src/mine/omni/testtar/omnisode0060dir/temp/diffeq.sing6_back.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([20],convfloat)),fixnum)
(%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a],
completearray([20],convfloat),[arr_b],
completearray([20],convfloat),[jjj_ats],fixnum),
convfloat)
(%i25) mode_declare(att([mmm_att],fixnum,[arr_a],
completearray([20],convfloat),[arr_b],
completearray([20],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,20,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,[20],convfloat)
(%i173) completearray(array_norms,[20],convfloat)
(%i174) completearray(array_fact_1,[20],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,[20],convfloat)
(%i184) completearray(array_x,[20],convfloat)
(%i185) completearray(array_tmp0,[20],convfloat)
(%i186) completearray(array_tmp1,[20],convfloat)
(%i187) completearray(array_tmp2,[20],convfloat)
(%i188) completearray(array_tmp3,[20],convfloat)
(%i189) completearray(array_tmp4,[20],convfloat)
(%i190) completearray(array_tmp5,[20],convfloat)
(%i191) completearray(array_tmp6,[20],convfloat)
(%i192) completearray(array_tmp7,[20],convfloat)
(%i193) completearray(array_tmp8,[20],convfloat)
(%i194) completearray(array_m1,[20],convfloat)
(%i195) completearray(array_y_higher,[2,20],convfloat)
(%i196) completearray(array_y_higher_work,[2,20],convfloat)
(%i197) completearray(array_y_higher_work2,[2,20],convfloat)
(%i198) completearray(array_y_set_initial,[2,20],convfloat)
(%i199) completearray(array_given_rad_poles,[2,3],convfloat)
(%i200) completearray(array_given_ord_poles,[2,3],convfloat)
(%i201) completearray(array_rad_test_poles,[2,4],convfloat)
(%i202) completearray(array_ord_test_poles,[2,4],convfloat)
(%i203) completearray(array_fact_2,[20,20],convfloat)
(%i204) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%i205) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%i206) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%i207) 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))
(%i208) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%i209) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%i210) 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)
(%i211) 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)
(%i212) 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)
(%i213) 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)
(%i214) 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)
(%i215) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%i216) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%i217) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%i218) logitem_good_digits(file,rel_error):=(
block(mode_declare([[good_digits],fixnum]),
printf(file,""),
printf(file,"~d",glob_min_good_digits),
printf(file," | ")),0)
(%i219) log_revs(file,revs):=printf(file,revs)
(%i220) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%i221) 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)
(%i222) logstart(file):=(printf(file,""),0)
(%i223) logend(file):=(printf(file,"
~%"),0)
(%i224) 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)
(%i225) 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)
(%i226) 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)
(%i227) 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)
(%i228) 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)
(%i229) c(in_val):=(ret:in_val,ret)
(%i230) 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)
(%i231) 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)
(%i232) 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)
(%i233) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%i234) factorial_2(nnn):=block(mode_declare([[ret],convfloat]),ret:nnn!,ret)
(%i235) 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)
(%i236) factorial_1(in):=block(mode_declare([[ret],convfloat]),ret:in!,ret)
(%i237) neg(in):=block(mode_declare([[ret],convfloat]),ret:-in,ret)
(%i238) 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)
(%i239) log10(x):=log(x)/glob_log_10
(%i240) c(x):=x
(%i241) 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
(%i242) 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)
(%i243) exact_soln_y(x):=block(c(1.0)/(c(x)-c(6.0))/(c(x)-c(6.0)))
c(1.0)
-------------
c(x) - c(6.0)
(%o243) exact_soln_y(x) := block(-------------)
c(x) - c(6.0)
(%i244) 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)
(%i245) my_check_sign(x0,xf):=block([ret],
if xf > x0 then ret:glob__1 else ret:glob__m1,ret)
(%i246) 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)
(%i247) 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)
(%i248) 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))
(%i249) 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))
(%i250) 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(35)
*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)
(%i251) 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)
(%i252) 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)
(%i253) atomall():=(
block(mode_declare([[kkk,order_d],fixnum,
[adj2,adj3,temporary,term,temp,temp2],
convfloat]),
array_tmp1[1]:neg(array_const_2D0[1]),
array_tmp2[1]:array_x[1]-array_const_6D0[1],
array_tmp3[1]:array_tmp1[1]/array_tmp2[1],
array_tmp4[1]:array_x[1]-array_const_6D0[1],
array_tmp5[1]:array_tmp3[1]/array_tmp4[1],
array_tmp6[1]:array_x[1]-array_const_6D0[1],
array_tmp7[1]:array_tmp5[1]/array_tmp6[1],
array_tmp8[1]:array_tmp7[1]+array_const_0D0[1],
if not array_y_set_initial[1,2]
then (if 1 <= ats_max_terms
then (
temporary
:c(array_tmp8[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_tmp2[2]:array_x[2],
array_tmp3[2]:neg(array_tmp3[1])*array_tmp2[2]
/array_tmp2[1],array_tmp4[2]:array_x[2],
array_tmp5[2]:(array_tmp3[2]
-array_tmp5[1]*array_tmp4[2])
/array_tmp4[1],array_tmp6[2]:array_x[2],
array_tmp7[2]:(array_tmp5[2]
-array_tmp7[1]*array_tmp6[2])
/array_tmp6[1],
array_tmp8[2]:array_tmp7[2],
if not array_y_set_initial[1,3]
then (if 2 <= ats_max_terms
then (
temporary
:c(array_tmp8[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_tmp3[3]:neg(array_tmp3[2])*array_tmp2[2]
/array_tmp2[1],
array_tmp5[3]:(array_tmp3[3]
-array_tmp5[2]*array_tmp4[2])
/array_tmp4[1],
array_tmp7[3]:(array_tmp5[3]
-array_tmp7[2]*array_tmp6[2])
/array_tmp6[1],
array_tmp8[3]:array_tmp7[3],
if not array_y_set_initial[1,4]
then (if 3 <= ats_max_terms
then (
temporary
:c(array_tmp8[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_tmp3[4]:neg(array_tmp3[3])*array_tmp2[2]
/array_tmp2[1],
array_tmp5[4]:(array_tmp3[4]
-array_tmp5[3]*array_tmp4[2])
/array_tmp4[1],
array_tmp7[4]:(array_tmp5[4]
-array_tmp7[3]*array_tmp6[2])
/array_tmp6[1],
array_tmp8[4]:array_tmp7[4],
if not array_y_set_initial[1,5]
then (if 4 <= ats_max_terms
then (
temporary
:c(array_tmp8[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_tmp3[5]:neg(array_tmp3[4])*array_tmp2[2]
/array_tmp2[1],
array_tmp5[5]:(array_tmp3[5]
-array_tmp5[4]*array_tmp4[2])
/array_tmp4[1],
array_tmp7[5]:(array_tmp5[5]
-array_tmp7[4]*array_tmp6[2])
/array_tmp6[1],
array_tmp8[5]:array_tmp7[5],
if not array_y_set_initial[1,6]
then (if 5 <= ats_max_terms
then (
temporary
:c(array_tmp8[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_tmp3[kkk]:array_tmp1[1]*array_tmp2[kkk],
array_tmp5[kkk]
:neg(ats(kkk,array_tmp4,array_tmp5,2))
/array_tmp4[1],
array_tmp7[kkk]
:neg(ats(kkk,array_tmp6,array_tmp7,2))
/array_tmp6[1],array_tmp8[kkk]:array_tmp7[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_tmp8[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)
(%i254) exact_soln_y(x):=block(c(1.0)/(c(x)-c(6.0))/(c(x)-c(6.0)))
c(1.0)
-------------
c(x) - c(6.0)
(%o254) exact_soln_y(x) := block(-------------)
c(x) - c(6.0)
(%i255) 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:30,max_terms:20,
glob_html_log:true,term:1,
while term <= 20 do (array_y_init[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_norms[term]:c(0.0),term:1+term),
term:1,
while term <= 20 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 <= 20 do (array_y[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_x[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp0[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp1[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp2[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp3[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp4[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp5[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp6[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp7[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_tmp8[term]:c(0.0),term:1+term),
term:1,
while term <= 20 do (array_m1[term]:c(0.0),term:1+term),
ord:1,
while ord <= 2 do
(term:1,
while term <= 20 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 <= 20 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 <= 20 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 <= 20 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 <= 20 do
(term:1,
while term <= 20 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_tmp2),zero_ats_ar(array_tmp3),
zero_ats_ar(array_tmp4),zero_ats_ar(array_tmp5),
zero_ats_ar(array_tmp6),zero_ats_ar(array_tmp7),
zero_ats_ar(array_tmp8),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_const_2D0),array_const_2D0[1]:c(2.0),
zero_ats_ar(array_const_6D0),array_const_6D0[1]:c(6.0),
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,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/sing6_backpostode.ode#################"),
omniout_str(always,
"diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; "),
omniout_str(always,"!"),
omniout_str(always,"/* BEGIN FIRST INPUT BLOCK */"),
omniout_str(always,"Digits:30,"),
omniout_str(always,"max_terms:20,"),omniout_str(always,"!"),
omniout_str(always,"/* END FIRST INPUT BLOCK */"),
omniout_str(always,"/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(always,"x_start:c(3.0),"),
omniout_str(always,"x_end:c(2.0),"),omniout_str(always,""),
omniout_str(always,
"array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(always,"glob_look_poles:true,"),
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:1,"),
omniout_str(always,""),
omniout_str(always,"array_given_rad_poles[1,1]:c(6.0),"),
omniout_str(always,""),
omniout_str(always,"array_given_rad_poles[1,2]:c(0.0),"),
omniout_str(always,""),
omniout_str(always,"array_given_ord_poles[1,1]:c(3.0),"),
omniout_str(always,""),
omniout_str(always,"array_given_ord_poles[1,2]:c(0.0),"),
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,""),
omniout_str(always,
" (c(1.0)/ ( c(x) - c(6.0) ) / ( c(x) - c(6.0) )) "),
omniout_str(always,"));"),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(3.0),x_end:c(2.0),
array_y_init[1+0]:exact_soln_y(x_start),
glob_look_poles:true,glob_type_given_pole:1,
array_given_rad_poles[1,1]:c(6.0),
array_given_rad_poles[1,2]:c(0.0),
array_given_ord_poles[1,1]:c(3.0),
array_given_ord_poles[1,2]:c(0.0),
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 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; "),
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,
"2015-04-24T23:08:30-05:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"sing6_back"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; "),
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,
"sing6_back diffeq.max"),
logitem_str(html_log_file,
"sing6_back maxima results"),
logitem_str(html_log_file,"OK"),
logend(html_log_file)),
if glob_html_log then close(html_log_file)))
(%i256) main():=(glob_iolevel:2,compile(all),main_prog())
(%i257) 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_2D0 in translation.
warning: encountered undefined variable array_tmp1 in translation.
warning: encountered undefined variable array_const_6D0 in translation.
warning: encountered undefined variable array_tmp2 in translation.
warning: encountered undefined variable array_tmp3 in translation.
warning: encountered undefined variable array_tmp4 in translation.
warning: encountered undefined variable array_tmp5 in translation.
warning: encountered undefined variable array_tmp6 in translation.
warning: encountered undefined variable array_tmp7 in translation.
warning: encountered undefined variable array_const_0D0 in translation.
warning: encountered undefined variable array_tmp8 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/sing6_backpostode.ode#################"
"diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; "
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:30,"
"max_terms:20,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:c(3.0),"
"x_end:c(2.0),"
""
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
""
""
""
""
""
""
""
"glob_type_given_pole:1,"
""
"array_given_rad_poles[1,1]:c(6.0),"
""
"array_given_rad_poles[1,2]:c(0.0),"
""
"array_given_ord_poles[1,1]:c(3.0),"
""
"array_given_ord_poles[1,2]:c(0.0),"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:8,"
"glob_max_minutes:(3.0),"
"glob_subiter_method:3,"
"glob_max_iter:100000,"
"glob_upper_ratio_limit:c(1.000001),"
"glob_lower_ratio_limit:c(0.999999),"
"glob_look_poles:false,"
"glob_h:c(0.001),"
"glob_display_interval:c(0.01),"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
""
" (c(1.0)/ ( c(x) - c(6.0) ) / ( c(x) - c(6.0) )) "
"));"
""
""
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999 " "
y[1] (closed_form) = 0.11103707405762005 " "
y[1] (numeric) = 0.11103707405762002 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 2.499667417499295600000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 15
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.998 " "
y[1] (closed_form) = 0.11096311097953356 " "
y[1] (numeric) = 0.11096311097953351 " "
absolute error = 4.16333634234433700000000000000000E-17 " "
relative error = 3.75200037705525240000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9970000000000003 " "
y[1] (closed_form) = 0.1108892217783327 " "
y[1] (numeric) = 0.11088922177833266 " "
absolute error = 4.16333634234433700000000000000000E-17 " "
relative error = 3.7545004605288300000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9960000000000004 " "
y[1] (closed_form) = 0.1108154063556625 " "
y[1] (numeric) = 0.11081540635566248 " "
absolute error = 2.775557561562891400000000000000000E-17 " "
relative error = 2.504667584446451700000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9950000000000006 " "
y[1] (closed_form) = 0.11074166461333167 " "
y[1] (numeric) = 0.11074166461333163 " "
absolute error = 4.16333634234433700000000000000000E-17 " "
relative error = 3.759503125477790500000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9940000000000007 " "
y[1] (closed_form) = 0.1106679964533121 " "
y[1] (numeric) = 0.11066799645331205 " "
absolute error = 5.55111512312578300000000000000000E-17 " "
relative error = 5.01600760927089800000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9930000000000008 " "
y[1] (closed_form) = 0.11059440177773872 " "
y[1] (numeric) = 0.11059440177773865 " "
absolute error = 6.93889390390722800000000000000000E-17 " "
relative error = 6.27418186849304200000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.992000000000001 " "
y[1] (closed_form) = 0.11052088048890908 " "
y[1] (numeric) = 0.110520880488909 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 7.5340267358114900000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.991000000000001 " "
y[1] (closed_form) = 0.11044743248928307 " "
y[1] (numeric) = 0.110447432489283 " "
absolute error = 6.93889390390722800000000000000000E-17 " "
relative error = 6.28253074563822300000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.990000000000001 " "
y[1] (closed_form) = 0.11037405768148263 " "
y[1] (numeric) = 0.11037405768148253 " "
absolute error = 9.7144514654701200000000000000000E-17 " "
relative error = 8.80139017223057700000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.989000000000001 " "
y[1] (closed_form) = 0.11030075596829128 " "
y[1] (numeric) = 0.11030075596829117 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.00654162782376390000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9880000000000013 " "
y[1] (closed_form) = 0.11022752725265393 " "
y[1] (numeric) = 0.11022752725265383 " "
absolute error = 9.7144514654701200000000000000000E-17 " "
relative error = 8.81309025757558900000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9870000000000014 " "
y[1] (closed_form) = 0.11015437143767658 " "
y[1] (numeric) = 0.11015437143767647 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.00787922452383240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9860000000000015 " "
y[1] (closed_form) = 0.11008128842662587 " "
y[1] (numeric) = 0.11008128842662575 " "
absolute error = 1.2490009027033011000000000000000E-16 " "
relative error = 1.13461690043337050000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9850000000000017 " "
y[1] (closed_form) = 0.11000827812292885 " "
y[1] (numeric) = 0.11000827812292874 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.00921770940232040000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9840000000000018 " "
y[1] (closed_form) = 0.10993534043017271 " "
y[1] (numeric) = 0.10993534043017257 " "
absolute error = 1.38777878078144570000000000000000E-16 " "
relative error = 1.26235910613558960000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.983000000000002 " "
y[1] (closed_form) = 0.1098624752521043 " "
y[1] (numeric) = 0.10986247525210414 " "
absolute error = 1.52655665885959020000000000000000E-16 " "
relative error = 1.38951598838143870000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.982000000000002 " "
y[1] (closed_form) = 0.10978968249262998 " "
y[1] (numeric) = 0.1097896824926298 " "
absolute error = 1.80411241501587940000000000000000E-16 " "
relative error = 1.64324404083870720000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.981000000000002 " "
y[1] (closed_form) = 0.10971696205581513 " "
y[1] (numeric) = 0.10971696205581498 " "
absolute error = 1.52655665885959020000000000000000E-16 " "
relative error = 1.39135884758001370000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.980000000000002 " "
y[1] (closed_form) = 0.10964431384588412 " "
y[1] (numeric) = 0.10964431384588394 " "
absolute error = 1.80411241501587940000000000000000E-16 " "
relative error = 1.64542268699108000000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9790000000000023 " "
y[1] (closed_form) = 0.10957173776721961 " "
y[1] (numeric) = 0.10957173776721943 " "
absolute error = 1.80411241501587940000000000000000E-16 " "
relative error = 1.6465125513009912000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9780000000000024 " "
y[1] (closed_form) = 0.10949923372436256 " "
y[1] (numeric) = 0.10949923372436238 " "
absolute error = 1.80411241501587940000000000000000E-16 " "
relative error = 1.64760277643338560000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9770000000000025 " "
y[1] (closed_form) = 0.10942680162201178 " "
y[1] (numeric) = 0.10942680162201157 " "
absolute error = 2.08166817117216850000000000000000E-16 " "
relative error = 1.90233849506337930000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9760000000000026 " "
y[1] (closed_form) = 0.10935444136502356 " "
y[1] (numeric) = 0.10935444136502336 " "
absolute error = 2.08166817117216850000000000000000E-16 " "
relative error = 1.90359727980648740000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9750000000000028 " "
y[1] (closed_form) = 0.1092821528584115 " "
y[1] (numeric) = 0.1092821528584113 " "
absolute error = 2.08166817117216850000000000000000E-16 " "
relative error = 1.90485648088322900000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.974000000000003 " "
y[1] (closed_form) = 0.10920993600734609 " "
y[1] (numeric) = 0.10920993600734588 " "
absolute error = 2.08166817117216850000000000000000E-16 " "
relative error = 1.90611609829360540000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.973000000000003 " "
y[1] (closed_form) = 0.10913779071715445 " "
y[1] (numeric) = 0.10913779071715422 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.03453454084012330000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.972000000000003 " "
y[1] (closed_form) = 0.10906571689332 " "
y[1] (numeric) = 0.10906571689331974 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 2.29036389853831230000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.971000000000003 " "
y[1] (closed_form) = 0.1089937144414821 " "
y[1] (numeric) = 0.10899371444148186 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 2.29187693823184660000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9700000000000033 " "
y[1] (closed_form) = 0.10892178326743591 " "
y[1] (numeric) = 0.10892178326743564 " "
absolute error = 2.77555756156289140000000000000000E-16 " "
relative error = 2.5482116416952690000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9690000000000034 " "
y[1] (closed_form) = 0.1088499232771318 " "
y[1] (numeric) = 0.10884992327713156 " "
absolute error = 2.4980018054066022000000000000000E-16 " "
relative error = 2.29490451641999940000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9680000000000035 " "
y[1] (closed_form) = 0.10877813437667543 " "
y[1] (numeric) = 0.10877813437667516 " "
absolute error = 2.6367796834847470000000000000000E-16 " "
relative error = 2.4239978912987628000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9670000000000036 " "
y[1] (closed_form) = 0.10870641647232705 " "
y[1] (numeric) = 0.10870641647232675 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 2.80858611367839460000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9660000000000037 " "
y[1] (closed_form) = 0.10863476947050138 " "
y[1] (numeric) = 0.10863476947050107 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 2.81043843752825430000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.965000000000004 " "
y[1] (closed_form) = 0.10856319327776735 " "
y[1] (numeric) = 0.10856319327776705 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 2.8122913720007780000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.964000000000004 " "
y[1] (closed_form) = 0.10849168780084775 " "
y[1] (numeric) = 0.10849168780084742 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.06997627319559800000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.963000000000004 " "
y[1] (closed_form) = 0.10842025294661882 " "
y[1] (numeric) = 0.1084202529466185 " "
absolute error = 3.1918911957973250000000000000000E-16 " "
relative error = 2.943999030668989500000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.962000000000004 " "
y[1] (closed_form) = 0.10834888862211015 " "
y[1] (numeric) = 0.10834888862210981 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.07402236998654270000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9610000000000043 " "
y[1] (closed_form) = 0.10827759473450417 " "
y[1] (numeric) = 0.10827759473450384 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 3.0760464175827373000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9600000000000044 " "
y[1] (closed_form) = 0.10820637119113605 " "
y[1] (numeric) = 0.10820637119113569 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 3.33457705892214100000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9590000000000045 " "
y[1] (closed_form) = 0.10813521789949317 " "
y[1] (numeric) = 0.1081352178994928 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 3.3367712204412830000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9580000000000046 " "
y[1] (closed_form) = 0.10806413476721503 " "
y[1] (numeric) = 0.10806413476721467 " "
absolute error = 3.6082248300317590000000000000000E-16 " "
relative error = 3.33896610360539140000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9570000000000047 " "
y[1] (closed_form) = 0.1079931217020929 " "
y[1] (numeric) = 0.10799312170209249 " "
absolute error = 4.02455846426619250000000000000000E-16 " "
relative error = 3.7266803670776720000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.956000000000005 " "
y[1] (closed_form) = 0.1079221786120693 " "
y[1] (numeric) = 0.10792217861206892 " "
absolute error = 3.8857805861880480000000000000000E-16 " "
relative error = 3.60053942216608250000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.955000000000005 " "
y[1] (closed_form) = 0.10785130540523816 " "
y[1] (numeric) = 0.10785130540523774 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 3.8602558649625124000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.954000000000005 " "
y[1] (closed_form) = 0.107780501989844 " "
y[1] (numeric) = 0.10778050198984357 " "
absolute error = 4.30211422042248160000000000000000E-16 " "
relative error = 3.9915514782329220000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.953000000000005 " "
y[1] (closed_form) = 0.10770976827428201 " "
y[1] (numeric) = 0.10770976827428157 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.1230170388928250000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9520000000000053 " "
y[1] (closed_form) = 0.1076391041670976 " "
y[1] (numeric) = 0.10763910416709715 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.12572376262686170000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9510000000000054 " "
y[1] (closed_form) = 0.10756850957698616 " "
y[1] (numeric) = 0.10756850957698569 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 4.3864583354480240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9500000000000055 " "
y[1] (closed_form) = 0.10749798441279264 " "
y[1] (numeric) = 0.1074979844127922 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.13113987463019250000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9490000000000056 " "
y[1] (closed_form) = 0.10742752858351151 " "
y[1] (numeric) = 0.10742752858351104 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 4.39221484183070440000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9480000000000057 " "
y[1] (closed_form) = 0.10735714199828614 " "
y[1] (numeric) = 0.10735714199828567 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 4.39509451055640150000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.947000000000006 " "
y[1] (closed_form) = 0.10728682456640877 " "
y[1] (numeric) = 0.10728682456640828 " "
absolute error = 4.857225732735060000000000000000E-16 " "
relative error = 4.52732733247083630000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.946000000000006 " "
y[1] (closed_form) = 0.10721657619732011 " "
y[1] (numeric) = 0.10721657619731961 " "
absolute error = 4.9960036108132044000000000000000E-16 " "
relative error = 4.6597306013751255000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.945000000000006 " "
y[1] (closed_form) = 0.107146396800609 " "
y[1] (numeric) = 0.10714639680060853 " "
absolute error = 4.7184478546569153000000000000000E-16 " "
relative error = 4.40373917887091850000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.944000000000006 " "
y[1] (closed_form) = 0.10707628628601232 " "
y[1] (numeric) = 0.10707628628601183 " "
absolute error = 4.857225732735060000000000000000E-16 " "
relative error = 4.53622917007121930000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9430000000000063 " "
y[1] (closed_form) = 0.10700624456341441 " "
y[1] (numeric) = 0.10700624456341393 " "
absolute error = 4.857225732735060000000000000000E-16 " "
relative error = 4.5391983921616410000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9420000000000064 " "
y[1] (closed_form) = 0.10693627154284703 " "
y[1] (numeric) = 0.10693627154284652 " "
absolute error = 5.1347814888913490000000000000000E-16 " "
relative error = 4.8017210763084767000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9410000000000065 " "
y[1] (closed_form) = 0.10686636713448888 " "
y[1] (numeric) = 0.10686636713448837 " "
absolute error = 5.1347814888913490000000000000000E-16 " "
relative error = 4.8048620221452310000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9400000000000066 " "
y[1] (closed_form) = 0.10679653124866552 " "
y[1] (numeric) = 0.10679653124866498 " "
absolute error = 5.4123372450476380000000000000000E-16 " "
relative error = 5.0678961027727840000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9390000000000067 " "
y[1] (closed_form) = 0.10672676379584883 " "
y[1] (numeric) = 0.10672676379584828 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.20123999425690000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.938000000000007 " "
y[1] (closed_form) = 0.10665706468665696 " "
y[1] (numeric) = 0.10665706468665641 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.2046389420467890000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.937000000000007 " "
y[1] (closed_form) = 0.1065874338318539 " "
y[1] (numeric) = 0.10658743383185335 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.2080390000597040000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.936000000000007 " "
y[1] (closed_form) = 0.10651787114234926 " "
y[1] (numeric) = 0.1065178711423487 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.2114401682956430000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.935000000000007 " "
y[1] (closed_form) = 0.10644837652919796 " "
y[1] (numeric) = 0.10644837652919738 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 5.4755845690923370000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9340000000000073 " "
y[1] (closed_form) = 0.10637894990359989 " "
y[1] (numeric) = 0.1063789499035993 " "
absolute error = 5.8286708792820720000000000000000E-16 " "
relative error = 5.4791581272084240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9330000000000074 " "
y[1] (closed_form) = 0.1063095911768998 " "
y[1] (numeric) = 0.10630959117689917 " "
absolute error = 6.2450045135165060000000000000000E-16 " "
relative error = 5.8743566261343070000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9320000000000075 " "
y[1] (closed_form) = 0.10624030026058671 " "
y[1] (numeric) = 0.10624030026058612 " "
absolute error = 5.9674487573602160000000000000000E-16 " "
relative error = 5.6169351392298680000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9310000000000076 " "
y[1] (closed_form) = 0.10617107706629406 " "
y[1] (numeric) = 0.10617107706629345 " "
absolute error = 6.1062266354383610000000000000000E-16 " "
relative error = 5.7513089291027760000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9300000000000077 " "
y[1] (closed_form) = 0.106101921505799 " "
y[1] (numeric) = 0.10610192150579838 " "
absolute error = 6.2450045135165060000000000000000E-16 " "
relative error = 5.8858543039441420000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.929000000000008 " "
y[1] (closed_form) = 0.10603283349102237 " "
y[1] (numeric) = 0.10603283349102173 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 6.020571347020690000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.928000000000008 " "
y[1] (closed_form) = 0.1059638129340283 " "
y[1] (numeric) = 0.10596381293402768 " "
absolute error = 6.2450045135165060000000000000000E-16 " "
relative error = 5.8935256674885460000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.927000000000008 " "
y[1] (closed_form) = 0.10589485974702408 " "
y[1] (numeric) = 0.10589485974702344 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 6.0284157388234820000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.926000000000008 " "
y[1] (closed_form) = 0.10582597384235966 " "
y[1] (numeric) = 0.10582597384235899 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.2946154955056620000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9250000000000083 " "
y[1] (closed_form) = 0.10575715513252751 " "
y[1] (numeric) = 0.10575715513252684 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.2987115523327130000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9240000000000084 " "
y[1] (closed_form) = 0.10568840353016234 " "
y[1] (numeric) = 0.10568840353016169 " "
absolute error = 6.5225602696727950000000000000000E-16 " "
relative error = 6.1715004218143240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9230000000000085 " "
y[1] (closed_form) = 0.10561971894804087 " "
y[1] (numeric) = 0.10561971894804019 " "
absolute error = 6.8001160258290840000000000000000E-16 " "
relative error = 6.4383015724311570000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9220000000000086 " "
y[1] (closed_form) = 0.10555110129908134 " "
y[1] (numeric) = 0.10555110129908064 " "
absolute error = 6.9388939039072280000000000000000E-16 " "
relative error = 6.5739663712704630000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9210000000000087 " "
y[1] (closed_form) = 0.10548255049634346 " "
y[1] (numeric) = 0.10548255049634278 " "
absolute error = 6.8001160258290840000000000000000E-16 " "
relative error = 6.4466738752821570000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.920000000000009 " "
y[1] (closed_form) = 0.1054140664530281 " "
y[1] (numeric) = 0.10541406645302741 " "
absolute error = 6.9388939039072280000000000000000E-16 " "
relative error = 6.5825123130025140000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.919000000000009 " "
y[1] (closed_form) = 0.10534564908247687 " "
y[1] (numeric) = 0.10534564908247618 " "
absolute error = 6.9388939039072280000000000000000E-16 " "
relative error = 6.5867873655367120000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.918000000000009 " "
y[1] (closed_form) = 0.10527729829817205 " "
y[1] (numeric) = 0.10527729829817133 " "
absolute error = 7.2164496600635180000000000000000E-16 " "
relative error = 6.8547063580836750000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.917000000000009 " "
y[1] (closed_form) = 0.1052090140137361 " "
y[1] (numeric) = 0.10520901401373536 " "
absolute error = 7.3552275381416620000000000000000E-16 " "
relative error = 6.9910621319779330000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9160000000000093 " "
y[1] (closed_form) = 0.10514079614293154 " "
y[1] (numeric) = 0.10514079614293083 " "
absolute error = 7.0776717819853730000000000000000E-16 " "
relative error = 6.7316132668082280000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9150000000000094 " "
y[1] (closed_form) = 0.10507264459966074 " "
y[1] (numeric) = 0.10507264459966 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 7.132213569738210000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9140000000000095 " "
y[1] (closed_form) = 0.10500455929796534 " "
y[1] (numeric) = 0.10500455929796462 " "
absolute error = 7.2164496600635180000000000000000E-16 " "
relative error = 6.8725107826849850000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9130000000000096 " "
y[1] (closed_form) = 0.10493654015202641 " "
y[1] (numeric) = 0.10493654015202566 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 7.1414641700239920000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9120000000000097 " "
y[1] (closed_form) = 0.1048685870761638 " "
y[1] (numeric) = 0.10486858707616302 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 7.4107617820117840000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.91100000000001 " "
y[1] (closed_form) = 0.10480069998483602 " "
y[1] (numeric) = 0.10480069998483524 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 7.4155622753479610000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.91000000000001 " "
y[1] (closed_form) = 0.10473287879264005 " "
y[1] (numeric) = 0.10473287879263928 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 7.4203643229963710000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.90900000000001 " "
y[1] (closed_form) = 0.10466512341431096 " "
y[1] (numeric) = 0.1046651234143102 " "
absolute error = 7.6327832942979510000000000000000E-16 " "
relative error = 7.2925756405827860000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.90800000000001 " "
y[1] (closed_form) = 0.1045974337647217 " "
y[1] (numeric) = 0.10459743376472094 " "
absolute error = 7.6327832942979510000000000000000E-16 " "
relative error = 7.2972949904936510000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9070000000000102 " "
y[1] (closed_form) = 0.1045298097588828 " "
y[1] (numeric) = 0.10452980975888203 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 7.4347797918150120000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9060000000000104 " "
y[1] (closed_form) = 0.1044622513119421 " "
y[1] (numeric) = 0.10446225131194131 " "
absolute error = 7.910339050454240000000000000000E-16 " "
relative error = 7.5724378434393670000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9050000000000105 " "
y[1] (closed_form) = 0.1043947583391845 " "
y[1] (numeric) = 0.10439475833918369 " "
absolute error = 8.1878948066105300000000000000000E-16 " "
relative error = 7.8432049049891890000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9040000000000106 " "
y[1] (closed_form) = 0.10432733075603168 " "
y[1] (numeric) = 0.10432733075603084 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 7.9812956244040280000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9030000000000107 " "
y[1] (closed_form) = 0.10425996847804184 " "
y[1] (numeric) = 0.10425996847804102 " "
absolute error = 8.1878948066105300000000000000000E-16 " "
relative error = 7.8533447939176960000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.902000000000011 " "
y[1] (closed_form) = 0.10419267142090952 " "
y[1] (numeric) = 0.10419267142090868 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 7.9916107065258210000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.901000000000011 " "
y[1] (closed_form) = 0.10412543950046517 " "
y[1] (numeric) = 0.10412543950046434 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 7.9967707455885220000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.900000000000011 " "
y[1] (closed_form) = 0.10405827263267504 " "
y[1] (numeric) = 0.10405827263267418 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 8.2686635316519490000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.899000000000011 " "
y[1] (closed_form) = 0.10399117073364078 " "
y[1] (numeric) = 0.10399117073363992 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 8.2739990137081180000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8980000000000112 " "
y[1] (closed_form) = 0.1039241337195993 " "
y[1] (numeric) = 0.10392413371959844 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 8.2793362166099740000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8970000000000113 " "
y[1] (closed_form) = 0.10385716150692248 " "
y[1] (numeric) = 0.1038571615069216 " "
absolute error = 8.7430063189231080000000000000000E-16 " "
relative error = 8.4182989329439300000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8960000000000115 " "
y[1] (closed_form) = 0.10379025401211682 " "
y[1] (numeric) = 0.10379025401211595 " "
absolute error = 8.7430063189231080000000000000000E-16 " "
relative error = 8.4237257169660840000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8950000000000116 " "
y[1] (closed_form) = 0.10372341115182333 " "
y[1] (numeric) = 0.10372341115182243 " "
absolute error = 9.0205620750793970000000000000000E-16 " "
relative error = 8.6967464479891700000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8940000000000117 " "
y[1] (closed_form) = 0.10365663284281709 " "
y[1] (numeric) = 0.1036566328428162 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.5684668249540940000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.893000000000012 " "
y[1] (closed_form) = 0.10358991900200723 " "
y[1] (numeric) = 0.10358991900200631 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 8.8419221111468040000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.892000000000012 " "
y[1] (closed_form) = 0.10352326954643636 " "
y[1] (numeric) = 0.10352326954643545 " "
absolute error = 9.0205620750793970000000000000000E-16 " "
relative error = 8.7135598736409090000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.891000000000012 " "
y[1] (closed_form) = 0.10345668439328064 " "
y[1] (numeric) = 0.10345668439327971 " "
absolute error = 9.2981178312356860000000000000000E-16 " "
relative error = 8.9874500480701510000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.890000000000012 " "
y[1] (closed_form) = 0.10339016345984922 " "
y[1] (numeric) = 0.1033901634598483 " "
absolute error = 9.1593399531575410000000000000000E-16 " "
relative error = 8.8590051960934380000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8890000000000122 " "
y[1] (closed_form) = 0.1033237066635843 " "
y[1] (numeric) = 0.10332370666358336 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 9.1333305918261220000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8880000000000123 " "
y[1] (closed_form) = 0.10325731392206056 " "
y[1] (numeric) = 0.1032573139220596 " "
absolute error = 9.5756735873919750000000000000000E-16 " "
relative error = 9.2736032186734680000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8870000000000124 " "
y[1] (closed_form) = 0.10319098515298505 " "
y[1] (numeric) = 0.10319098515298412 " "
absolute error = 9.2981178312356860000000000000000E-16 " "
relative error = 9.0105912037285320000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8860000000000126 " "
y[1] (closed_form) = 0.10312472027419708 " "
y[1] (numeric) = 0.10312472027419613 " "
absolute error = 9.5756735873919750000000000000000E-16 " "
relative error = 9.2855268474244890000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8850000000000127 " "
y[1] (closed_form) = 0.10305851920366768 " "
y[1] (numeric) = 0.1030585192036667 " "
absolute error = 9.8532293435482640000000000000000E-16 " "
relative error = 9.560810129705031000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8840000000000128 " "
y[1] (closed_form) = 0.10299238185949944 " "
y[1] (numeric) = 0.1029923818594985 " "
absolute error = 9.436895709313831000000000000000E-16 " "
relative error = 9.162712366617070000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.883000000000013 " "
y[1] (closed_form) = 0.1029263081599265 " "
y[1] (numeric) = 0.10292630815992554 " "
absolute error = 9.5756735873919750000000000000000E-16 " "
relative error = 9.30342665406140000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.882000000000013 " "
y[1] (closed_form) = 0.10286029802331395 " "
y[1] (numeric) = 0.10286029802331295 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 9.7141534816102280000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.881000000000013 " "
y[1] (closed_form) = 0.10279435136815769 " "
y[1] (numeric) = 0.1027943513681567 " "
absolute error = 9.8532293435482640000000000000000E-16 " "
relative error = 9.5853801423961050000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.880000000000013 " "
y[1] (closed_form) = 0.10272846811308436 " "
y[1] (numeric) = 0.10272846811308337 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 9.726619509819929000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8790000000000133 " "
y[1] (closed_form) = 0.10266264817685082 " "
y[1] (numeric) = 0.10266264817684984 " "
absolute error = 9.8532293435482640000000000000000E-16 " "
relative error = 9.597676972616850000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8780000000000134 " "
y[1] (closed_form) = 0.1025968914783441 " "
y[1] (numeric) = 0.10259689147834311 " "
absolute error = 9.8532293435482640000000000000000E-16 " "
relative error = 9.6038283436960260000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8770000000000135 " "
y[1] (closed_form) = 0.10253119793658103 " "
y[1] (numeric) = 0.10253119793658003 " "
absolute error = 9.9920072216264090000000000000000E-16 " "
relative error = 9.745333540145311000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8760000000000137 " "
y[1] (closed_form) = 0.10246556747070805 " "
y[1] (numeric) = 0.10246556747070702 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 1.0022452645586011000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8750000000000138 " "
y[1] (closed_form) = 0.1024000000000009 " "
y[1] (numeric) = 0.10239999999999988 " "
absolute error = 1.0130785099704553000000000000000E-15 " "
relative error = 9.8933448239301410000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.874000000000014 " "
y[1] (closed_form) = 0.10233449544386451 " "
y[1] (numeric) = 0.10233449544386347 " "
absolute error = 1.0408340855860843000000000000000E-15 " "
relative error = 1.017090162092051100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.873000000000014 " "
y[1] (closed_form) = 0.10226905372183255 " "
y[1] (numeric) = 0.10226905372183152 " "
absolute error = 1.0269562977782698000000000000000E-15 " "
relative error = 1.0041711157038248000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.872000000000014 " "
y[1] (closed_form) = 0.10220367475356743 " "
y[1] (numeric) = 0.10220367475356637 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 1.0319705978645195000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.871000000000014 " "
y[1] (closed_form) = 0.10213835845885974 " "
y[1] (numeric) = 0.10213835845885869 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 1.032630531083702100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8700000000000143 " "
y[1] (closed_form) = 0.10207310475762836 " "
y[1] (numeric) = 0.10207310475762728 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 1.0604825351201341000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8690000000000144 " "
y[1] (closed_form) = 0.10200791356991985 " "
y[1] (numeric) = 0.1020079135699188 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 1.033951030349191100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8680000000000145 " "
y[1] (closed_form) = 0.10194278481590857 " "
y[1] (numeric) = 0.10194278481590752 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 1.0346115963954977000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8670000000000146 " "
y[1] (closed_form) = 0.10187771841589614 " "
y[1] (numeric) = 0.10187771841589507 " "
absolute error = 1.0685896612017132000000000000000E-15 " "
relative error = 1.0488943782971287000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8660000000000148 " "
y[1] (closed_form) = 0.10181271429031136 " "
y[1] (numeric) = 0.10181271429031027 " "
absolute error = 1.0824674490095276000000000000000E-15 " "
relative error = 1.0631947655603724000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.865000000000015 " "
y[1] (closed_form) = 0.10174777235970987 " "
y[1] (numeric) = 0.10174777235970878 " "
absolute error = 1.096345236817342100000000000000E-15 " "
relative error = 1.0775127665119018000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.864000000000015 " "
y[1] (closed_form) = 0.101682892544774 " "
y[1] (numeric) = 0.10168289254477289 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0918483894783898000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.863000000000015 " "
y[1] (closed_form) = 0.10161807476631243 " "
y[1] (numeric) = 0.10161807476631134 " "
absolute error = 1.096345236817342100000000000000E-15 " "
relative error = 1.0788880219769656000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.862000000000015 " "
y[1] (closed_form) = 0.1015533189452601 " "
y[1] (numeric) = 0.10155331894525899 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0932414973296894000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8610000000000153 " "
y[1] (closed_form) = 0.10148862500267776 " "
y[1] (numeric) = 0.10148862500267664 " "
absolute error = 1.124100812432971000000000000000E-15 " "
relative error = 1.1076126141262745000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8600000000000154 " "
y[1] (closed_form) = 0.10142399285975189 " "
y[1] (numeric) = 0.10142399285975078 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0946354933594087000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8590000000000155 " "
y[1] (closed_form) = 0.10135942243779443 " "
y[1] (numeric) = 0.10135942243779332 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0953328244411759000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8580000000000156 " "
y[1] (closed_form) = 0.1012949136582425 " "
y[1] (numeric) = 0.10129491365824138 " "
absolute error = 1.124100812432971000000000000000E-15 " "
relative error = 1.109730757287141900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8570000000000157 " "
y[1] (closed_form) = 0.10123046644265815 " "
y[1] (numeric) = 0.10123046644265703 " "
absolute error = 1.124100812432971000000000000000E-15 " "
relative error = 1.1104372546477559000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.856000000000016 " "
y[1] (closed_form) = 0.10116608071272822 " "
y[1] (numeric) = 0.10116608071272706 " "
absolute error = 1.1518563880485999000000000000E-15 " "
relative error = 1.1385796305773847000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.855000000000016 " "
y[1] (closed_form) = 0.10110175639026392 " "
y[1] (numeric) = 0.10110175639026277 " "
absolute error = 1.1518563880485999000000000000E-15 " "
relative error = 1.1393040330598286000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.854000000000016 " "
y[1] (closed_form) = 0.10103749339720085 " "
y[1] (numeric) = 0.10103749339719968 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 1.1537639510450384000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.853000000000016 " "
y[1] (closed_form) = 0.10097329165559851 " "
y[1] (numeric) = 0.10097329165559735 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 1.154497547561904900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8520000000000163 " "
y[1] (closed_form) = 0.10090915108764026 " "
y[1] (numeric) = 0.10090915108763907 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 1.1827368862071683000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8510000000000164 " "
y[1] (closed_form) = 0.10084507161563289 " "
y[1] (numeric) = 0.1008450716156317 " "
absolute error = 1.1796119636642288000000000000000E-15 " "
relative error = 1.1697269333699067000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8500000000000165 " "
y[1] (closed_form) = 0.10078105316200658 " "
y[1] (numeric) = 0.10078105316200542 " "
absolute error = 1.1657341758564144000000000000000E-15 " "
relative error = 1.1566997359935152000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8490000000000166 " "
y[1] (closed_form) = 0.10071709564931461 " "
y[1] (numeric) = 0.10071709564931342 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 1.1849922237905249000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8480000000000167 " "
y[1] (closed_form) = 0.10065319900023297 " "
y[1] (numeric) = 0.10065319900023177 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 1.1857444803808778000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.847000000000017 " "
y[1] (closed_form) = 0.10058936313756034 " "
y[1] (numeric) = 0.10058936313755915 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 1.186496975669181000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.846000000000017 " "
y[1] (closed_form) = 0.10052558798421775 " "
y[1] (numeric) = 0.10052558798421656 " "
absolute error = 1.1934897514720433000000000000000E-15 " "
relative error = 1.1872497096554344000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.845000000000017 " "
y[1] (closed_form) = 0.10046187346324836 " "
y[1] (numeric) = 0.10046187346324716 " "
absolute error = 1.2073675392798577000000000000000E-15 " "
relative error = 1.2018166670180057000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.844000000000017 " "
y[1] (closed_form) = 0.10039821949781724 " "
y[1] (numeric) = 0.10039821949781601 " "
absolute error = 1.2351231148954867000000000000000E-15 " "
relative error = 1.2302241225725516000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8430000000000173 " "
y[1] (closed_form) = 0.10033462601121108 " "
y[1] (numeric) = 0.10033462601120985 " "
absolute error = 1.2351231148954867000000000000000E-15 " "
relative error = 1.2310038557949851000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8420000000000174 " "
y[1] (closed_form) = 0.1002710929268381 " "
y[1] (numeric) = 0.10027109292683686 " "
absolute error = 1.2351231148954867000000000000000E-15 " "
relative error = 1.2317838360420418000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8410000000000175 " "
y[1] (closed_form) = 0.10020762016822767 " "
y[1] (numeric) = 0.10020762016822642 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 1.2464130977329761000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8400000000000176 " "
y[1] (closed_form) = 0.10014420765903011 " "
y[1] (numeric) = 0.10014420765902887 " "
absolute error = 1.2351231148954867000000000000000E-15 " "
relative error = 1.2333445376100236000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8390000000000177 " "
y[1] (closed_form) = 0.10008085532301658 " "
y[1] (numeric) = 0.10008085532301533 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 1.247991834873993100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.838000000000018 " "
y[1] (closed_form) = 0.1000175630840787 " "
y[1] (numeric) = 0.10001756308407743 " "
absolute error = 1.27675647831893000000000000000E-15 " "
relative error = 1.2765322798813225000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.837000000000018 " "
y[1] (closed_form) = 9.99543308662283500E-2 " "
y[1] (numeric) = 9.99543308662270800E-2 " "
absolute error = 1.2628786905111156000000000000000E-15 " "
relative error = 1.263455699784796000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.836000000000018 " "
y[1] (closed_form) = 9.98911585935975400E-2 " "
y[1] (numeric) = 9.98911585935962700E-2 " "
absolute error = 1.2628786905111156000000000000000E-15 " "
relative error = 1.2642547231322823000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.835000000000018 " "
y[1] (closed_form) = 9.98280461904381200E-2 " "
y[1] (numeric) = 9.98280461904368400E-2 " "
absolute error = 1.2906342661267445000000000000000E-15 " "
relative error = 1.292857383650132800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8340000000000183 " "
y[1] (closed_form) = 9.97649935811214700E-2 " "
y[1] (numeric) = 9.97649935811201800E-2 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 1.3075849625287920000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8330000000000184 " "
y[1] (closed_form) = 9.9702000690138400E-2 " "
y[1] (numeric) = 9.97020006901371200E-2 " "
absolute error = 1.2906342661267445000000000000000E-15 " "
relative error = 1.2944918428847557000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8320000000000185 " "
y[1] (closed_form) = 9.96390674420989300E-2 " "
y[1] (numeric) = 9.9639067442097610E-2 " "
absolute error = 1.3183898417423734000000000000000E-15 " "
relative error = 1.3231655771050854000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8310000000000186 " "
y[1] (closed_form) = 9.95761937617318700E-2 " "
y[1] (numeric) = 9.95761937617305600E-2 " "
absolute error = 1.304512053934559000000000000000E-15 " "
relative error = 1.3100641876872943000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8300000000000187 " "
y[1] (closed_form) = 9.95133795738848900E-2 " "
y[1] (numeric) = 9.95133795738835600E-2 " "
absolute error = 1.3183898417423734000000000000000E-15 " "
relative error = 1.3248367680684778000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.829000000000019 " "
y[1] (closed_form) = 9.94506248035240500E-2 " "
y[1] (numeric) = 9.94506248035227100E-2 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.33962720916257000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.828000000000019 " "
y[1] (closed_form) = 9.93879293757336900E-2 " "
y[1] (numeric) = 9.93879293757323300E-2 " "
absolute error = 1.3461454173580023000000000000000E-15 " "
relative error = 1.3544355192962437000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.827000000000019 " "
y[1] (closed_form) = 9.93252932157161700E-2 " "
y[1] (numeric) = 9.93252932157148200E-2 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 1.369261706796171000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.826000000000019 " "
y[1] (closed_form) = 9.92627162487916700E-2 " "
y[1] (numeric) = 9.92627162487903300E-2 " "
absolute error = 1.3461454173580023000000000000000E-15 " "
relative error = 1.3561440470599545000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8250000000000193 " "
y[1] (closed_form) = 9.92001984003980200E-2 " "
y[1] (numeric) = 9.92001984003966300E-2 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 1.3989677472014786000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8240000000000194 " "
y[1] (closed_form) = 9.91377395960902700E-2 " "
y[1] (numeric) = 9.91377395960888900E-2 " "
absolute error = 1.3739009929736312000000000000000E-15 " "
relative error = 1.3858506342501017000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8230000000000195 " "
y[1] (closed_form) = 9.90753397615407500E-2 " "
y[1] (numeric) = 9.90753397615393600E-2 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 1.4007307813645836000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8220000000000196 " "
y[1] (closed_form) = 9.90129988225386400E-2 " "
y[1] (numeric) = 9.90129988225372500E-2 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 1.4016127147797702000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8210000000000197 " "
y[1] (closed_form) = 9.89507167049898500E-2 " "
y[1] (numeric) = 9.89507167049884600E-2 " "
absolute error = 1.3877787807814457000000000000000E-15 " "
relative error = 1.4024949257507130000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.82000000000002 " "
y[1] (closed_form) = 9.8888493334916790E-2 " "
y[1] (numeric) = 9.88884933349153800E-2 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 1.4314449625629597000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.81900000000002 " "
y[1] (closed_form) = 9.88263286384580600E-2 " "
y[1] (numeric) = 9.88263286384566500E-2 " "
absolute error = 1.4016565685892600000000000000000E-15 " "
relative error = 1.4183027821634653000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.81800000000002 " "
y[1] (closed_form) = 9.87642225418683900E-2 " "
y[1] (numeric) = 9.87642225418669600E-2 " "
absolute error = 1.4155343563970746000000000000000E-15 " "
relative error = 1.4332460884780393000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.81700000000002 " "
y[1] (closed_form) = 9.87021749715182900E-2 " "
y[1] (numeric) = 9.87021749715168400E-2 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 1.4622676069997265000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8160000000000203 " "
y[1] (closed_form) = 9.86401858538938500E-2 " "
y[1] (numeric) = 9.8640185853892400E-2 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 1.463186549699439000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8150000000000204 " "
y[1] (closed_form) = 9.85782551155965800E-2 " "
y[1] (numeric) = 9.85782551155951500E-2 " "
absolute error = 1.429412144204889000000000000000E-15 " "
relative error = 1.4500278408546655000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8140000000000205 " "
y[1] (closed_form) = 9.8516382683343200E-2 " "
y[1] (numeric) = 9.85163826833417500E-2 " "
absolute error = 1.4432899320127035000000000000000E-15 " "
relative error = 1.4650253010728234000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8130000000000206 " "
y[1] (closed_form) = 9.84545684839653300E-2 " "
y[1] (numeric) = 9.84545684839638800E-2 " "
absolute error = 1.457167719820518000000000000000E-15 " "
relative error = 1.4800407358017495000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8120000000000207 " "
y[1] (closed_form) = 9.83928124444093300E-2 " "
y[1] (numeric) = 9.83928124444078700E-2 " "
absolute error = 1.457167719820518000000000000000E-15 " "
relative error = 1.4809696802231350000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.811000000000021 " "
y[1] (closed_form) = 9.83311144917361300E-2 " "
y[1] (numeric) = 9.83311144917346400E-2 " "
absolute error = 1.4849232954361470000000000000000E-15 " "
relative error = 1.5101255620985987000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.810000000000021 " "
y[1] (closed_form) = 9.82694745531208600E-2 " "
y[1] (numeric) = 9.82694745531193800E-2 " "
absolute error = 1.4849232954361470000000000000000E-15 " "
relative error = 1.5110727946687572000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.809000000000021 " "
y[1] (closed_form) = 9.82078925558528400E-2 " "
y[1] (numeric) = 9.82078925558513800E-2 " "
absolute error = 1.457167719820518000000000000000E-15 " "
relative error = 1.4837582620885556000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.808000000000021 " "
y[1] (closed_form) = 9.8146368427335310E-2 " "
y[1] (numeric) = 9.81463684273338200E-2 " "
absolute error = 1.4849232954361470000000000000000E-15 " "
relative error = 1.5129681507630519000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8070000000000213 " "
y[1] (closed_form) = 9.80849020950850100E-2 " "
y[1] (numeric) = 9.80849020950835100E-2 " "
absolute error = 1.4988010832439613000000000000000E-15 " "
relative error = 1.5280650245141708000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8060000000000214 " "
y[1] (closed_form) = 9.80234934867322700E-2 " "
y[1] (numeric) = 9.80234934867307600E-2 " "
absolute error = 1.5126788710517758000000000000000E-15 " "
relative error = 1.5431799227360948000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8050000000000215 " "
y[1] (closed_form) = 9.79621425300206100E-2 " "
y[1] (numeric) = 9.79621425300190700E-2 " "
absolute error = 1.5404344466674047000000000000000E-15 " "
relative error = 1.572479334244182000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8040000000000216 " "
y[1] (closed_form) = 9.79008491528065200E-2 " "
y[1] (numeric) = 9.790084915280500E-2 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 1.559288476116173000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8030000000000217 " "
y[1] (closed_form) = 9.78396132830594300E-2 " "
y[1] (numeric) = 9.78396132830579100E-2 " "
absolute error = 1.5126788710517758000000000000000E-15 " "
relative error = 1.5460801819355624000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.802000000000022 " "
y[1] (closed_form) = 9.77784348488612800E-2 " "
y[1] (numeric) = 9.77784348488597500E-2 " "
absolute error = 1.5265566588595902000000000000000E-15 " "
relative error = 1.5612406367715226000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.801000000000022 " "
y[1] (closed_form) = 9.77173137784064100E-2 " "
y[1] (numeric) = 9.77173137784048700E-2 " "
absolute error = 1.5404344466674047000000000000000E-15 " "
relative error = 1.5764191493849786000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.800000000000022 " "
y[1] (closed_form) = 9.76562500000013500E-2 " "
y[1] (numeric) = 9.76562499999997900E-2 " "
absolute error = 1.5681900222830336000000000000000E-15 " "
relative error = 1.6058265828178042000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.799000000000022 " "
y[1] (closed_form) = 9.75952434420645600E-2 " "
y[1] (numeric) = 9.75952434420630100E-2 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.59261064336389000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7980000000000222 " "
y[1] (closed_form) = 9.75342940331263200E-2 " "
y[1] (numeric) = 9.75342940331247700E-2 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5936058694876246000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7970000000000224 " "
y[1] (closed_form) = 9.74734017018284500E-2 " "
y[1] (numeric) = 9.74734017018268900E-2 " "
absolute error = 1.5681900222830336000000000000000E-15 " "
relative error = 1.6088389190316077000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7960000000000225 " "
y[1] (closed_form) = 9.74125663769241000E-2 " "
y[1] (numeric) = 9.74125663769225200E-2 " "
absolute error = 1.5959455978986625000000000000000E-15 " "
relative error = 1.6383364664917843000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7950000000000226 " "
y[1] (closed_form) = 9.73517879872774800E-2 " "
y[1] (numeric) = 9.73517879872759100E-2 " "
absolute error = 1.5681900222830336000000000000000E-15 " "
relative error = 1.6108487113641656000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7940000000000227 " "
y[1] (closed_form) = 9.72910664618638600E-2 " "
y[1] (numeric) = 9.72910664618622600E-2 " "
absolute error = 1.5959455978986625000000000000000E-15 " "
relative error = 1.6403824687482907000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.793000000000023 " "
y[1] (closed_form) = 9.72304017297691100E-2 " "
y[1] (numeric) = 9.72304017297675100E-2 " "
absolute error = 1.5959455978986625000000000000000E-15 " "
relative error = 1.6414059486602228000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.792000000000023 " "
y[1] (closed_form) = 9.7169793720189700E-2 " "
y[1] (numeric) = 9.71697937201880800E-2 " "
absolute error = 1.6237011735142914000000000000000E-15 " "
relative error = 1.6709937433745142000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.791000000000023 " "
y[1] (closed_form) = 9.71092423624323400E-2 " "
y[1] (numeric) = 9.7109242362430690E-2 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 1.6863265756006138000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.790000000000023 " "
y[1] (closed_form) = 9.70487475859138100E-2 " "
y[1] (numeric) = 9.70487475859121800E-2 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 1.6873777375358867000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7890000000000232 " "
y[1] (closed_form) = 9.69883093201608900E-2 " "
y[1] (numeric) = 9.69883093201592400E-2 " "
absolute error = 1.6514567491299204000000000000000E-15 " "
relative error = 1.7027379492495526000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7880000000000233 " "
y[1] (closed_form) = 9.69279274948099400E-2 " "
y[1] (numeric) = 9.6927927494808300E-2 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 1.6894810439538088000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7870000000000235 " "
y[1] (closed_form) = 9.68676020396068800E-2 " "
y[1] (numeric) = 9.68676020396052500E-2 " "
absolute error = 1.6375789613221060000000000000000E-15 " "
relative error = 1.6905331884364583000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7860000000000236 " "
y[1] (closed_form) = 9.68073328844068900E-2 " "
y[1] (numeric) = 9.68073328844052300E-2 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 1.720256603832101000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7850000000000237 " "
y[1] (closed_form) = 9.67471199591741300E-2 " "
y[1] (numeric) = 9.67471199591724900E-2 " "
absolute error = 1.6514567491299204000000000000000E-15 " "
relative error = 1.706982853677516000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.784000000000024 " "
y[1] (closed_form) = 9.66869631939817800E-2 " "
y[1] (numeric) = 9.66869631939801100E-2 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 1.722398224046603000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.783000000000024 " "
y[1] (closed_form) = 9.66268625190115500E-2 " "
y[1] (numeric) = 9.66268625190098800E-2 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 1.7234695337542152000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.782000000000024 " "
y[1] (closed_form) = 9.65668178645537400E-2 " "
y[1] (numeric) = 9.65668178645520300E-2 " "
absolute error = 1.7069679003611782000000000000000E-15 " "
relative error = 1.7676547059419523000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.781000000000024 " "
y[1] (closed_form) = 9.65068291610067700E-2 " "
y[1] (numeric) = 9.65068291610050800E-2 " "
absolute error = 1.6792123247455493000000000000000E-15 " "
relative error = 1.7399932619732458000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7800000000000242 " "
y[1] (closed_form) = 9.64468963388772700E-2 " "
y[1] (numeric) = 9.64468963388755800E-2 " "
absolute error = 1.7069679003611782000000000000000E-15 " "
relative error = 1.7698525978104573000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7790000000000243 " "
y[1] (closed_form) = 9.63870193287795900E-2 " "
y[1] (numeric) = 9.6387019328777900E-2 " "
absolute error = 1.6930901125533637000000000000000E-15 " "
relative error = 1.7565540716412992000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7780000000000244 " "
y[1] (closed_form) = 9.63271980614358600E-2 " "
y[1] (numeric) = 9.63271980614341500E-2 " "
absolute error = 1.7069679003611782000000000000000E-15 " "
relative error = 1.7720518552532824000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7770000000000246 " "
y[1] (closed_form) = 9.62674324676756000E-2 " "
y[1] (numeric) = 9.62674324676738600E-2 " "
absolute error = 1.734723475976807000000000000000E-15 " "
relative error = 1.8019837358384805000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7760000000000247 " "
y[1] (closed_form) = 9.62077224784355500E-2 " "
y[1] (numeric) = 9.62077224784338100E-2 " "
absolute error = 1.734723475976807000000000000000E-15 " "
relative error = 1.8031021120634427000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.775000000000025 " "
y[1] (closed_form) = 9.6148068024759600E-2 " "
y[1] (numeric) = 9.61480680247578600E-2 " "
absolute error = 1.734723475976807000000000000000E-15 " "
relative error = 1.8042208352331002000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.774000000000025 " "
y[1] (closed_form) = 9.60884690377984400E-2 " "
y[1] (numeric) = 9.6088469037796710E-2 " "
absolute error = 1.734723475976807000000000000000E-15 " "
relative error = 1.805339905347453000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.773000000000025 " "
y[1] (closed_form) = 9.60289254488094800E-2 " "
y[1] (numeric) = 9.60289254488077100E-2 " "
absolute error = 1.762479051592436000000000000000E-15 " "
relative error = 1.8353626715650043000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.772000000000025 " "
y[1] (closed_form) = 9.59694371891564900E-2 " "
y[1] (numeric) = 9.59694371891547300E-2 " "
absolute error = 1.762479051592436000000000000000E-15 " "
relative error = 1.8365003517928072000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.771000000000025 " "
y[1] (closed_form) = 9.59100041903095800E-2 " "
y[1] (numeric) = 9.59100041903078200E-2 " "
absolute error = 1.762479051592436000000000000000E-15 " "
relative error = 1.8376383845164201000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7700000000000253 " "
y[1] (closed_form) = 9.58506263838449100E-2 " "
y[1] (numeric) = 9.58506263838431400E-2 " "
absolute error = 1.762479051592436000000000000000E-15 " "
relative error = 1.838776769735844000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7690000000000254 " "
y[1] (closed_form) = 9.57913037014445300E-2 " "
y[1] (numeric) = 9.57913037014427500E-2 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.854403031131795000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7680000000000256 " "
y[1] (closed_form) = 9.57320360748961200E-2 " "
y[1] (numeric) = 9.57320360748943400E-2 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.855551090557099000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7670000000000257 " "
y[1] (closed_form) = 9.5672823436092900E-2 " "
y[1] (numeric) = 9.5672823436091090E-2 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 1.8857104350233606000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7660000000000258 " "
y[1] (closed_form) = 9.56136657170332500E-2 " "
y[1] (numeric) = 9.56136657170314600E-2 " "
absolute error = 1.790234627208065000000000000000E-15 " "
relative error = 1.8723627148719815000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.765000000000026 " "
y[1] (closed_form) = 9.55545628498208200E-2 " "
y[1] (numeric) = 9.555456284981900E-2 " "
absolute error = 1.817990202823693800000000000000E-15 " "
relative error = 1.9025676520345286000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.764000000000026 " "
y[1] (closed_form) = 9.54955147666639600E-2 " "
y[1] (numeric) = 9.54955147666621600E-2 " "
absolute error = 1.8041124150158794000000000000000E-15 " "
relative error = 1.8892116759871821000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.763000000000026 " "
y[1] (closed_form) = 9.5436521399875910E-2 " "
y[1] (numeric) = 9.54365213998740600E-2 " "
absolute error = 1.8457457784393227000000000000000E-15 " "
relative error = 1.9340036197523466000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.762000000000026 " "
y[1] (closed_form) = 9.53775826818742200E-2 " "
y[1] (numeric) = 9.53775826818723600E-2 " "
absolute error = 1.8457457784393227000000000000000E-15 " "
relative error = 1.935198740143885800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7610000000000263 " "
y[1] (closed_form) = 9.53186985451808400E-2 " "
y[1] (numeric) = 9.53186985451790300E-2 " "
absolute error = 1.817990202823693800000000000000E-15 " "
relative error = 1.9072755194637608000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7600000000000264 " "
y[1] (closed_form) = 9.52598689224219300E-2 " "
y[1] (numeric) = 9.52598689224200900E-2 " "
absolute error = 1.8457457784393227000000000000000E-15 " "
relative error = 1.9375900883744318000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7590000000000265 " "
y[1] (closed_form) = 9.5201093746327400E-2 " "
y[1] (numeric) = 9.52010937463255600E-2 " "
absolute error = 1.8457457784393227000000000000000E-15 " "
relative error = 1.938786316213437800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7580000000000267 " "
y[1] (closed_form) = 9.51423729497309900E-2 " "
y[1] (numeric) = 9.51423729497291600E-2 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 1.9253965755083552000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7570000000000268 " "
y[1] (closed_form) = 9.50837064655699800E-2 " "
y[1] (numeric) = 9.50837064655681600E-2 " "
absolute error = 1.8318679906315083000000000000000E-15 " "
relative error = 1.92658454190028000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.756000000000027 " "
y[1] (closed_form) = 9.50250942268850100E-2 " "
y[1] (numeric) = 9.50250942268831600E-2 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 1.956981554584981000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.755000000000027 " "
y[1] (closed_form) = 9.49665361668197800E-2 " "
y[1] (numeric) = 9.49665361668179400E-2 " "
absolute error = 1.8457457784393227000000000000000E-15 " "
relative error = 1.943574919061021000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.754000000000027 " "
y[1] (closed_form) = 9.49080322186211100E-2 " "
y[1] (numeric) = 9.49080322186192300E-2 " "
absolute error = 1.8735013540549517000000000000000E-15 " "
relative error = 1.974017699302133000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.753000000000027 " "
y[1] (closed_form) = 9.48495823156384300E-2 " "
y[1] (numeric) = 9.48495823156365600E-2 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 1.9606027995555336000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7520000000000273 " "
y[1] (closed_form) = 9.47911863913238700E-2 " "
y[1] (numeric) = 9.479118639132200E-2 " "
absolute error = 1.8596235662471372000000000000000E-15 " "
relative error = 1.9618106250618111000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7510000000000274 " "
y[1] (closed_form) = 9.47328443792319600E-2 " "
y[1] (numeric) = 9.47328443792300700E-2 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 1.9923176108882162000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7500000000000275 " "
y[1] (closed_form) = 9.46745562130193700E-2 " "
y[1] (numeric) = 9.46745562130174700E-2 " "
absolute error = 1.9012569296705806000000000000000E-15 " "
relative error = 2.0082026319645163000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7490000000000276 " "
y[1] (closed_form) = 9.46163218264448200E-2 " "
y[1] (numeric) = 9.46163218264429200E-2 " "
absolute error = 1.9012569296705806000000000000000E-15 " "
relative error = 2.0094386390944952000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7480000000000278 " "
y[1] (closed_form) = 9.45581411533688600E-2 " "
y[1] (numeric) = 9.45581411533669700E-2 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 1.9959985664285912000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.747000000000028 " "
y[1] (closed_form) = 9.45000141277537500E-2 " "
y[1] (numeric) = 9.45000141277518300E-2 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 2.026597281656848000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.746000000000028 " "
y[1] (closed_form) = 9.44419406836630500E-2 " "
y[1] (numeric) = 9.44419406836611400E-2 " "
absolute error = 1.9012569296705806000000000000000E-15 " "
relative error = 2.0131489419927476000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.745000000000028 " "
y[1] (closed_form) = 9.43839207552617500E-2 " "
y[1] (numeric) = 9.43839207552598500E-2 " "
absolute error = 1.9012569296705806000000000000000E-15 " "
relative error = 2.01438647012827000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.744000000000028 " "
y[1] (closed_form) = 9.43259542768158500E-2 " "
y[1] (numeric) = 9.43259542768139400E-2 " "
absolute error = 1.915134717478395000000000000000E-15 " "
relative error = 2.0303369652196687000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7430000000000283 " "
y[1] (closed_form) = 9.42680411826922500E-2 " "
y[1] (numeric) = 9.42680411826903200E-2 " "
absolute error = 1.9290125052862095000000000000000E-15 " "
relative error = 2.0463059177688514000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7420000000000284 " "
y[1] (closed_form) = 9.42101814073585400E-2 " "
y[1] (numeric) = 9.42101814073566100E-2 " "
absolute error = 1.9290125052862095000000000000000E-15 " "
relative error = 2.0475626694160456000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7410000000000285 " "
y[1] (closed_form) = 9.41523748853828800E-2 " "
y[1] (numeric) = 9.41523748853809500E-2 " "
absolute error = 1.942890293094024000000000000000E-15 " "
relative error = 2.0635595177065010000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7400000000000286 " "
y[1] (closed_form) = 9.40946215514337700E-2 " "
y[1] (numeric) = 9.4094621551431800E-2 " "
absolute error = 1.9567680809018384000000000000000E-15 " "
relative error = 2.0795748456592014000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7390000000000287 " "
y[1] (closed_form) = 9.4036921340279800E-2 " "
y[1] (numeric) = 9.40369213402778300E-2 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 2.0956086616008193000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.738000000000029 " "
y[1] (closed_form) = 9.3979274186789600E-2 " "
y[1] (numeric) = 9.39792741867876300E-2 " "
absolute error = 1.970645868709652900000000000000E-15 " "
relative error = 2.0968941139009786000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.737000000000029 " "
y[1] (closed_form) = 9.39216800259315800E-2 " "
y[1] (numeric) = 9.39216800259295900E-2 " "
absolute error = 1.9845236565174673000000000000000E-15 " "
relative error = 2.1129558755439048000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.736000000000029 " "
y[1] (closed_form) = 9.3864138792773690E-2 " "
y[1] (numeric) = 9.3864138792771690E-2 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 2.1290361473802094000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.735000000000029 " "
y[1] (closed_form) = 9.38066504224833800E-2 " "
y[1] (numeric) = 9.38066504224813900E-2 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 2.1303409036832097000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7340000000000293 " "
y[1] (closed_form) = 9.37492148503272900E-2 " "
y[1] (numeric) = 9.37492148503253000E-2 " "
absolute error = 1.9845236565174673000000000000000E-15 " "
relative error = 2.1168429620299256000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7330000000000294 " "
y[1] (closed_form) = 9.36918320116711800E-2 " "
y[1] (numeric) = 9.36918320116691800E-2 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 2.132951615330076000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7320000000000295 " "
y[1] (closed_form) = 9.36345018419796200E-2 " "
y[1] (numeric) = 9.3634501841977590E-2 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 2.1639000369333022000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7310000000000296 " "
y[1] (closed_form) = 9.35772242768158600E-2 " "
y[1] (numeric) = 9.35772242768138200E-2 " "
absolute error = 2.040034807748725100000000000000E-15 " "
relative error = 2.1800548408168074000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7300000000000297 " "
y[1] (closed_form) = 9.35199992518416900E-2 " "
y[1] (numeric) = 9.35199992518396700E-2 " "
absolute error = 2.0261570199409107000000000000000E-15 " "
relative error = 2.1665494398525775000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.72900000000003 " "
y[1] (closed_form) = 9.34628267028172900E-2 " "
y[1] (numeric) = 9.34628267028152500E-2 " "
absolute error = 2.040034807748725100000000000000E-15 " "
relative error = 2.1827232063453433000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.72800000000003 " "
y[1] (closed_form) = 9.3405706565600900E-2 " "
y[1] (numeric) = 9.34057065655988600E-2 " "
absolute error = 2.0539125955565396000000000000000E-15 " "
relative error = 2.1989155385426384000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.72700000000003 " "
y[1] (closed_form) = 9.3348638776148800E-2 " "
y[1] (numeric) = 9.33486387761467200E-2 " "
absolute error = 2.0816681711721685000000000000000E-15 " "
relative error = 2.2299930652058406000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.72600000000003 " "
y[1] (closed_form) = 9.32916232705149700E-2 " "
y[1] (numeric) = 9.32916232705128800E-2 " "
absolute error = 2.0816681711721685000000000000000E-15 " "
relative error = 2.2313559333575073000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7250000000000303 " "
y[1] (closed_form) = 9.3234659984851100E-2 " "
y[1] (numeric) = 9.323465998484901E-2 " "
absolute error = 2.095545958979983000000000000000E-15 " "
relative error = 2.247604012628426000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7240000000000304 " "
y[1] (closed_form) = 9.31777488554062800E-2 " "
y[1] (numeric) = 9.31777488554041700E-2 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 2.263870690910565200000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7230000000000305 " "
y[1] (closed_form) = 9.3120889818526800E-2 " "
y[1] (numeric) = 9.31208898185247200E-2 " "
absolute error = 2.0816681711721685000000000000000E-15 " "
relative error = 2.2354470358143116000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7220000000000306 " "
y[1] (closed_form) = 9.30640828106561600E-2 " "
y[1] (numeric) = 9.30640828106540600E-2 " "
absolute error = 2.095545958979983000000000000000E-15 " "
relative error = 2.2517236464291845000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7210000000000307 " "
y[1] (closed_form) = 9.30073277683346400E-2 " "
y[1] (numeric) = 9.30073277683325300E-2 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 2.2680188727086234000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.720000000000031 " "
y[1] (closed_form) = 9.29506246281992500E-2 " "
y[1] (numeric) = 9.29506246281971400E-2 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 2.269402443744141000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.719000000000031 " "
y[1] (closed_form) = 9.28939733269836300E-2 " "
y[1] (numeric) = 9.2893973326981500E-2 " "
absolute error = 2.123301534595612000000000000000E-15 " "
relative error = 2.2857258211161477000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.718000000000031 " "
y[1] (closed_form) = 9.28373738015176800E-2 " "
y[1] (numeric) = 9.28373738015155700E-2 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 2.2721708514694255000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.717000000000031 " "
y[1] (closed_form) = 9.27808259887275900E-2 " "
y[1] (numeric) = 9.27808259887254800E-2 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 2.2735556881591917000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7160000000000313 " "
y[1] (closed_form) = 9.27243298256355200E-2 " "
y[1] (numeric) = 9.27243298256333900E-2 " "
absolute error = 2.1371793224034263000000000000000E-15 " "
relative error = 2.3048743802433608000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7150000000000314 " "
y[1] (closed_form) = 9.26678852493594800E-2 " "
y[1] (numeric) = 9.26678852493573300E-2 " "
absolute error = 2.1510571102112408000000000000000E-15 " "
relative error = 2.3212541264138847000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7140000000000315 " "
y[1] (closed_form) = 9.26114921971131200E-2 " "
y[1] (numeric) = 9.26114921971109700E-2 " "
absolute error = 2.1510571102112408000000000000000E-15 " "
relative error = 2.322667586041004800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7130000000000316 " "
y[1] (closed_form) = 9.25551506062056300E-2 " "
y[1] (numeric) = 9.25551506062034700E-2 " "
absolute error = 2.1510571102112408000000000000000E-15 " "
relative error = 2.3240814758795467000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7120000000000317 " "
y[1] (closed_form) = 9.2498860414041500E-2 " "
y[1] (numeric) = 9.24988604140393300E-2 " "
absolute error = 2.1649348980190553000000000000000E-15 " "
relative error = 2.3404989946129262000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.711000000000032 " "
y[1] (closed_form) = 9.24426215581203200E-2 " "
y[1] (numeric) = 9.24426215581181700E-2 " "
absolute error = 2.1510571102112408000000000000000E-15 " "
relative error = 2.3269105461908965000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.710000000000032 " "
y[1] (closed_form) = 9.23864339760367400E-2 " "
y[1] (numeric) = 9.23864339760345900E-2 " "
absolute error = 2.1510571102112408000000000000000E-15 " "
relative error = 2.3283257266637045000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.709000000000032 " "
y[1] (closed_form) = 9.23302976054801500E-2 " "
y[1] (numeric) = 9.23302976054780000E-2 " "
absolute error = 2.1510571102112408000000000000000E-15 " "
relative error = 2.329741337347934200000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.708000000000032 " "
y[1] (closed_form) = 9.22742123842345700E-2 " "
y[1] (numeric) = 9.2274212384232400E-2 " "
absolute error = 2.1649348980190553000000000000000E-15 " "
relative error = 2.3461971032645124000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7070000000000323 " "
y[1] (closed_form) = 9.22181782501784700E-2 " "
y[1] (numeric) = 9.2218178250176300E-2 " "
absolute error = 2.1788126858268697000000000000000E-15 " "
relative error = 2.3626715764390555000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7060000000000324 " "
y[1] (closed_form) = 9.21621951412846100E-2 " "
y[1] (numeric) = 9.21621951412824300E-2 " "
absolute error = 2.1788126858268697000000000000000E-15 " "
relative error = 2.3641067603552093000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7050000000000325 " "
y[1] (closed_form) = 9.21062629956198600E-2 " "
y[1] (numeric) = 9.21062629956176800E-2 " "
absolute error = 2.1788126858268697000000000000000E-15 " "
relative error = 2.3655423800339007000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7040000000000326 " "
y[1] (closed_form) = 9.205038175134500E-2 " "
y[1] (numeric) = 9.20503817513428400E-2 " "
absolute error = 2.1649348980190553000000000000000E-15 " "
relative error = 2.3519021397077713000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7030000000000327 " "
y[1] (closed_form) = 9.19945513467146500E-2 " "
y[1] (numeric) = 9.19945513467124700E-2 " "
absolute error = 2.1788126858268697000000000000000E-15 " "
relative error = 2.3684149266788943000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.702000000000033 " "
y[1] (closed_form) = 9.19387717200769600E-2 " "
y[1] (numeric) = 9.19387717200747500E-2 " "
absolute error = 2.2065682614424986000000000000000E-15 " "
relative error = 2.4000410492330337000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.701000000000033 " "
y[1] (closed_form) = 9.18830428098734800E-2 " "
y[1] (numeric) = 9.18830428098712700E-2 " "
absolute error = 2.2065682614424986000000000000000E-15 " "
relative error = 2.401496722315107000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.700000000000033 " "
y[1] (closed_form) = 9.18273645546391300E-2 " "
y[1] (numeric) = 9.1827364554636900E-2 " "
absolute error = 2.2343238370581275000000000000000E-15 " "
relative error = 2.4331786585562515000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.699000000000033 " "
y[1] (closed_form) = 9.17717368930017700E-2 " "
y[1] (numeric) = 9.17717368929995600E-2 " "
absolute error = 2.2065682614424986000000000000000E-15 " "
relative error = 2.4044093924202115000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6980000000000333 " "
y[1] (closed_form) = 9.17161597636823300E-2 " "
y[1] (numeric) = 9.1716159763680090E-2 " "
absolute error = 2.2343238370581275000000000000000E-15 " "
relative error = 2.436128859750703000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6970000000000334 " "
y[1] (closed_form) = 9.16606331054943400E-2 " "
y[1] (numeric) = 9.16606331054921200E-2 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.4224642292125023000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6960000000000335 " "
y[1] (closed_form) = 9.16051568573440400E-2 " "
y[1] (numeric) = 9.16051568573418200E-2 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.4239312779172414000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6950000000000336 " "
y[1] (closed_form) = 9.15497309582300E-2 " "
y[1] (numeric) = 9.15497309582277700E-2 " "
absolute error = 2.2343238370581275000000000000000E-15 " "
relative error = 2.440557513028136000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6940000000000337 " "
y[1] (closed_form) = 9.14943553472430800E-2 " "
y[1] (numeric) = 9.14943553472408300E-2 " "
absolute error = 2.248201624865942000000000000000E-15 " "
relative error = 2.457202541439279200000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.693000000000034 " "
y[1] (closed_form) = 9.14390299635661700E-2 " "
y[1] (numeric) = 9.14390299635639100E-2 " "
absolute error = 2.248201624865942000000000000000E-15 " "
relative error = 2.458689277173803000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.692000000000034 " "
y[1] (closed_form) = 9.13837547464741100E-2 " "
y[1] (numeric) = 9.13837547464718500E-2 " "
absolute error = 2.275957200481571000000000000000E-15 " "
relative error = 2.490549011469005000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.691000000000034 " "
y[1] (closed_form) = 9.13285296353334700E-2 " "
y[1] (numeric) = 9.1328529635331200E-2 " "
absolute error = 2.275957200481571000000000000000E-15 " "
relative error = 2.4920550123485635000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.690000000000034 " "
y[1] (closed_form) = 9.12733545696023700E-2 " "
y[1] (numeric) = 9.12733545696001200E-2 " "
absolute error = 2.248201624865942000000000000000E-15 " "
relative error = 2.4631521822193242000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6890000000000343 " "
y[1] (closed_form) = 9.12182294888304300E-2 " "
y[1] (numeric) = 9.12182294888281700E-2 " "
absolute error = 2.2620794126737565000000000000000E-15 " "
relative error = 2.4798545480985743000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6880000000000344 " "
y[1] (closed_form) = 9.11631543326584200E-2 " "
y[1] (numeric) = 9.11631543326561600E-2 " "
absolute error = 2.2620794126737565000000000000000E-15 " "
relative error = 2.481352723293587800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6870000000000345 " "
y[1] (closed_form) = 9.11081290408182300E-2 " "
y[1] (numeric) = 9.11081290408159800E-2 " "
absolute error = 2.2620794126737565000000000000000E-15 " "
relative error = 2.4828513509044844000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6860000000000346 " "
y[1] (closed_form) = 9.10531535531326800E-2 " "
y[1] (numeric) = 9.10531535531304200E-2 " "
absolute error = 2.2620794126737565000000000000000E-15 " "
relative error = 2.484350430931262800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6850000000000347 " "
y[1] (closed_form) = 9.0998227809515300E-2 " "
y[1] (numeric) = 9.09982278095130300E-2 " "
absolute error = 2.275957200481571000000000000000E-15 " "
relative error = 2.501100576646157000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.684000000000035 " "
y[1] (closed_form) = 9.09433517499702500E-2 " "
y[1] (numeric) = 9.09433517499679700E-2 " "
absolute error = 2.275957200481571000000000000000E-15 " "
relative error = 2.502609763865796000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.683000000000035 " "
y[1] (closed_form) = 9.08885253145920700E-2 " "
y[1] (numeric) = 9.0888525314589800E-2 " "
absolute error = 2.275957200481571000000000000000E-15 " "
relative error = 2.504119406276876000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.682000000000035 " "
y[1] (closed_form) = 9.08337484435656200E-2 " "
y[1] (numeric) = 9.08337484435633300E-2 " "
absolute error = 2.2898349882893854000000000000000E-15 " "
relative error = 2.5209077325615864000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.681000000000035 " "
y[1] (closed_form) = 9.07790210771658300E-2 " "
y[1] (numeric) = 9.0779021077163500E-2 " "
absolute error = 2.3314683517128287000000000000000E-15 " "
relative error = 2.5682898141531920000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6800000000000352 " "
y[1] (closed_form) = 9.07243431557574800E-2 " "
y[1] (numeric) = 9.07243431557551600E-2 " "
absolute error = 2.3175905639050143000000000000000E-15 " "
relative error = 2.554541023158609000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6790000000000354 " "
y[1] (closed_form) = 9.06697146197952700E-2 " "
y[1] (numeric) = 9.06697146197929200E-2 " "
absolute error = 2.345346139520643200000000000000E-15 " "
relative error = 2.5866918731964340000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6780000000000355 " "
y[1] (closed_form) = 9.06151354098233800E-2 " "
y[1] (numeric) = 9.06151354098210500E-2 " "
absolute error = 2.3314683517128287000000000000000E-15 " "
relative error = 2.5729347985503087000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6770000000000356 " "
y[1] (closed_form) = 9.05606054664755300E-2 " "
y[1] (numeric) = 9.05606054664732100E-2 " "
absolute error = 2.3175905639050143000000000000000E-15 " "
relative error = 2.559159749393415000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6760000000000357 " "
y[1] (closed_form) = 9.05061247304747100E-2 " "
y[1] (numeric) = 9.05061247304723700E-2 " "
absolute error = 2.345346139520643200000000000000E-15 " "
relative error = 2.5913673207255680000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.675000000000036 " "
y[1] (closed_form) = 9.04516931426329700E-2 " "
y[1] (numeric) = 9.04516931426306200E-2 " "
absolute error = 2.3592239273284576000000000000000E-15 " "
relative error = 2.6082695031570113000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.674000000000036 " "
y[1] (closed_form) = 9.03973106438513800E-2 " "
y[1] (numeric) = 9.03973106438490300E-2 " "
absolute error = 2.3592239273284576000000000000000E-15 " "
relative error = 2.6098386229910775000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.673000000000036 " "
y[1] (closed_form) = 9.03429771751198100E-2 " "
y[1] (numeric) = 9.03429771751174600E-2 " "
absolute error = 2.3592239273284576000000000000000E-15 " "
relative error = 2.611408214669929000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.672000000000036 " "
y[1] (closed_form) = 9.02886926775167600E-2 " "
y[1] (numeric) = 9.0288692677514390E-2 " "
absolute error = 2.3592239273284576000000000000000E-15 " "
relative error = 2.612978278193566000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6710000000000362 " "
y[1] (closed_form) = 9.02344570922092300E-2 " "
y[1] (numeric) = 9.02344570922068500E-2 " "
absolute error = 2.373101715136272000000000000000E-15 " "
relative error = 2.6299285124652940000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6700000000000363 " "
y[1] (closed_form) = 9.01802703604525100E-2 " "
y[1] (numeric) = 9.01802703604501500E-2 " "
absolute error = 2.3592239273284576000000000000000E-15 " "
relative error = 2.6161198207751960000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6690000000000365 " "
y[1] (closed_form) = 9.01261324235901200E-2 " "
y[1] (numeric) = 9.01261324235877500E-2 " "
absolute error = 2.373101715136272000000000000000E-15 " "
relative error = 2.6330894839498553000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6680000000000366 " "
y[1] (closed_form) = 9.00720432230535100E-2 " "
y[1] (numeric) = 9.00720432230511300E-2 " "
absolute error = 2.373101715136272000000000000000E-15 " "
relative error = 2.63467068162265000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6670000000000367 " "
y[1] (closed_form) = 9.00180027003620400E-2 " "
y[1] (numeric) = 9.00180027003596600E-2 " "
absolute error = 2.3869795029440866000000000000000E-15 " "
relative error = 2.651669034348044000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.666000000000037 " "
y[1] (closed_form) = 8.9964010797122700E-2 " "
y[1] (numeric) = 8.99640107971203300E-2 " "
absolute error = 2.373101715136272000000000000000E-15 " "
relative error = 2.63783450082927030000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.665000000000037 " "
y[1] (closed_form) = 8.99100674550301100E-2 " "
y[1] (numeric) = 8.9910067455027710E-2 " "
absolute error = 2.400857290751901000000000000000E-15 " "
relative error = 2.670287498063247400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.664000000000037 " "
y[1] (closed_form) = 8.98561726158661100E-2 " "
y[1] (numeric) = 8.98561726158637400E-2 " "
absolute error = 2.3869795029440866000000000000000E-15 " "
relative error = 2.656444664239585000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.663000000000037 " "
y[1] (closed_form) = 8.98023262214999800E-2 " "
y[1] (numeric) = 8.98023262214975500E-2 " "
absolute error = 2.42861286636753000000000000000E-15 " "
relative error = 2.7043986147722804000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6620000000000372 " "
y[1] (closed_form) = 8.97485282138878300E-2 " "
y[1] (numeric) = 8.9748528213885400E-2 " "
absolute error = 2.42861286636753000000000000000E-15 " "
relative error = 2.706019713860580700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6610000000000373 " "
y[1] (closed_form) = 8.9694778535072790E-2 " "
y[1] (numeric) = 8.96947785350703700E-2 " "
absolute error = 2.4147350785597155000000000000000E-15 " "
relative error = 2.692169062679045700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6600000000000374 " "
y[1] (closed_form) = 8.96410771271847800E-2 " "
y[1] (numeric) = 8.96410771271823400E-2 " "
absolute error = 2.42861286636753000000000000000E-15 " "
relative error = 2.7092633692049006000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6590000000000376 " "
y[1] (closed_form) = 8.95874239324402100E-2 " "
y[1] (numeric) = 8.95874239324377700E-2 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 2.72637670217784000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6580000000000377 " "
y[1] (closed_form) = 8.95338188931419800E-2 " "
y[1] (numeric) = 8.95338188931395400E-2 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 2.7280090186820255000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6570000000000378 " "
y[1] (closed_form) = 8.9480261951679300E-2 " "
y[1] (numeric) = 8.94802619516768400E-2 " "
absolute error = 2.456368441983158800000000000000E-15 " "
relative error = 2.7451511522280020000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.656000000000038 " "
y[1] (closed_form) = 8.94267530505274300E-2 " "
y[1] (numeric) = 8.94267530505249900E-2 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 2.7312751171847890000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.655000000000038 " "
y[1] (closed_form) = 8.93732921322477000E-2 " "
y[1] (numeric) = 8.93732921322452500E-2 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 2.732908899183366000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.654000000000038 " "
y[1] (closed_form) = 8.93198791394871800E-2 " "
y[1] (numeric) = 8.93198791394847100E-2 " "
absolute error = 2.456368441983158800000000000000E-15 " "
relative error = 2.7500803467805296000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.653000000000038 " "
y[1] (closed_form) = 8.92665140149786400E-2 " "
y[1] (numeric) = 8.92665140149761800E-2 " "
absolute error = 2.456368441983158800000000000000E-15 " "
relative error = 2.751724394178749000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6520000000000383 " "
y[1] (closed_form) = 8.92131967015403600E-2 " "
y[1] (numeric) = 8.92131967015378900E-2 " "
absolute error = 2.4702462297909733000000000000000E-15 " "
relative error = 2.7689246895334285000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6510000000000384 " "
y[1] (closed_form) = 8.91599271420759900E-2 " "
y[1] (numeric) = 8.9159927142073500E-2 " "
absolute error = 2.4841240175987878000000000000000E-15 " "
relative error = 2.786144064070786300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6500000000000385 " "
y[1] (closed_form) = 8.91067052795743300E-2 " "
y[1] (numeric) = 8.91067052795718600E-2 " "
absolute error = 2.4702462297909733000000000000000E-15 " "
relative error = 2.7722338313828565000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6490000000000387 " "
y[1] (closed_form) = 8.90535310571093400E-2 " "
y[1] (numeric) = 8.90535310571068400E-2 " "
absolute error = 2.4980018054066022000000000000000E-15 " "
relative error = 2.805056437127297400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6480000000000388 " "
y[1] (closed_form) = 8.90004044178397500E-2 " "
y[1] (numeric) = 8.90004044178372400E-2 " "
absolute error = 2.5118795932144167000000000000000E-15 " "
relative error = 2.8223237968915577000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.647000000000039 " "
y[1] (closed_form) = 8.8947325305009100E-2 " "
y[1] (numeric) = 8.89473253050066100E-2 " "
absolute error = 2.4841240175987878000000000000000E-15 " "
relative error = 2.792803503737164600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.646000000000039 " "
y[1] (closed_form) = 8.88942936619456100E-2 " "
y[1] (numeric) = 8.8894293661943100E-2 " "
absolute error = 2.5118795932144167000000000000000E-15 " "
relative error = 2.825692729801977400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.645000000000039 " "
y[1] (closed_form) = 8.8841309432061800E-2 " "
y[1] (numeric) = 8.88413094320592800E-2 " "
absolute error = 2.5118795932144167000000000000000E-15 " "
relative error = 2.827377949821064000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.644000000000039 " "
y[1] (closed_form) = 8.87883725588545700E-2 " "
y[1] (numeric) = 8.87883725588520600E-2 " "
absolute error = 2.5118795932144167000000000000000E-15 " "
relative error = 2.82906367221607000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6430000000000393 " "
y[1] (closed_form) = 8.87354829859049300E-2 " "
y[1] (numeric) = 8.87354829859024100E-2 " "
absolute error = 2.5118795932144167000000000000000E-15 " "
relative error = 2.830749896986995400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6420000000000394 " "
y[1] (closed_form) = 8.86826406568779400E-2 " "
y[1] (numeric) = 8.86826406568754200E-2 " "
absolute error = 2.525757381022231000000000000000E-15 " "
relative error = 2.8480854452616500000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6410000000000395 " "
y[1] (closed_form) = 8.86298455155224500E-2 " "
y[1] (numeric) = 8.86298455155199300E-2 " "
absolute error = 2.525757381022231000000000000000E-15 " "
relative error = 2.8497819964944826000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6400000000000396 " "
y[1] (closed_form) = 8.85770975056710100E-2 " "
y[1] (numeric) = 8.85770975056684900E-2 " "
absolute error = 2.525757381022231000000000000000E-15 " "
relative error = 2.851479052878791000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6390000000000398 " "
y[1] (closed_form) = 8.85243965712397600E-2 " "
y[1] (numeric) = 8.85243965712372200E-2 " "
absolute error = 2.5396351688300456000000000000000E-15 " "
relative error = 2.868853408999270700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.63800000000004 " "
y[1] (closed_form) = 8.84717426562281600E-2 " "
y[1] (numeric) = 8.84717426562256000E-2 " "
absolute error = 2.55351295663786000000000000000E-15 " "
relative error = 2.886246930344714000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.63700000000004 " "
y[1] (closed_form) = 8.84191357047189900E-2 " "
y[1] (numeric) = 8.84191357047164200E-2 " "
absolute error = 2.5673907444456745000000000000000E-15 " "
relative error = 2.9036596252417920000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.63600000000004 " "
y[1] (closed_form) = 8.83665756608780700E-2 " "
y[1] (numeric) = 8.8366575660875490E-2 " "
absolute error = 2.5673907444456745000000000000000E-15 " "
relative error = 2.9053867089955804000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.63500000000004 " "
y[1] (closed_form) = 8.8314062468954190E-2 " "
y[1] (numeric) = 8.83140624689516400E-2 " "
absolute error = 2.55351295663786000000000000000E-15 " "
relative error = 2.8914001748425044000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6340000000000403 " "
y[1] (closed_form) = 8.826159607327900E-2 " "
y[1] (numeric) = 8.82615960732764500E-2 " "
absolute error = 2.55351295663786000000000000000E-15 " "
relative error = 2.893118944413617000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6330000000000404 " "
y[1] (closed_form) = 8.82091764182667400E-2 " "
y[1] (numeric) = 8.82091764182641900E-2 " "
absolute error = 2.55351295663786000000000000000E-15 " "
relative error = 2.894838224687321000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6320000000000405 " "
y[1] (closed_form) = 8.81568034484141900E-2 " "
y[1] (numeric) = 8.8156803448411600E-2 " "
absolute error = 2.581268532253489000000000000000E-15 " "
relative error = 2.928042341920829000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6310000000000406 " "
y[1] (closed_form) = 8.81044771083004300E-2 " "
y[1] (numeric) = 8.81044771082978400E-2 " "
absolute error = 2.581268532253489000000000000000E-15 " "
relative error = 2.9297813425310080000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6300000000000407 " "
y[1] (closed_form) = 8.8052197342586800E-2 " "
y[1] (numeric) = 8.80521973425842400E-2 " "
absolute error = 2.5673907444456745000000000000000E-15 " "
relative error = 2.9157599945594376000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.629000000000041 " "
y[1] (closed_form) = 8.79999640960167800E-2 " "
y[1] (numeric) = 8.7999964096014190E-2 " "
absolute error = 2.581268532253489000000000000000E-15 " "
relative error = 2.9332608925124865000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.628000000000041 " "
y[1] (closed_form) = 8.79477773134156400E-2 " "
y[1] (numeric) = 8.79477773134130700E-2 " "
absolute error = 2.581268532253489000000000000000E-15 " "
relative error = 2.935001441883784400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.627000000000041 " "
y[1] (closed_form) = 8.78956369396905100E-2 " "
y[1] (numeric) = 8.78956369396879400E-2 " "
absolute error = 2.581268532253489000000000000000E-15 " "
relative error = 2.9367425075087894000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.626000000000041 " "
y[1] (closed_form) = 8.78435429198301500E-2 " "
y[1] (numeric) = 8.78435429198275600E-2 " "
absolute error = 2.5951463200613034000000000000000E-15 " "
relative error = 2.954282390943347000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6250000000000413 " "
y[1] (closed_form) = 8.77914951989047700E-2 " "
y[1] (numeric) = 8.77914951989021600E-2 " "
absolute error = 2.609024107869118000000000000000E-15 " "
relative error = 2.971841522869594000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6240000000000414 " "
y[1] (closed_form) = 8.77394937220658900E-2 " "
y[1] (numeric) = 8.77394937220632900E-2 " "
absolute error = 2.5951463200613034000000000000000E-15 " "
relative error = 2.9577858384754296000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6230000000000415 " "
y[1] (closed_form) = 8.76875384345463400E-2 " "
y[1] (numeric) = 8.76875384345437300E-2 " "
absolute error = 2.609024107869118000000000000000E-15 " "
relative error = 2.9753647490248610000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6220000000000416 " "
y[1] (closed_form) = 8.76356292816599200E-2 " "
y[1] (numeric) = 8.7635629281657300E-2 " "
absolute error = 2.6229018956769323000000000000000E-15 " "
relative error = 2.992962927494884000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6210000000000417 " "
y[1] (closed_form) = 8.75837662088013300E-2 " "
y[1] (numeric) = 8.75837662087987200E-2 " "
absolute error = 2.609024107869118000000000000000E-15 " "
relative error = 2.978890062399413000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.620000000000042 " "
y[1] (closed_form) = 8.7531949161446110E-2 " "
y[1] (numeric) = 8.75319491614434700E-2 " "
absolute error = 2.6367796834847470000000000000000E-15 " "
relative error = 3.012362581600239000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.619000000000042 " "
y[1] (closed_form) = 8.74801780851503100E-2 " "
y[1] (numeric) = 8.74801780851476800E-2 " "
absolute error = 2.6367796834847470000000000000000E-15 " "
relative error = 3.014145308344243000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.618000000000042 " "
y[1] (closed_form) = 8.74284529255505600E-2 " "
y[1] (numeric) = 8.74284529255479200E-2 " "
absolute error = 2.6367796834847470000000000000000E-15 " "
relative error = 3.0159285624441834000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.617000000000042 " "
y[1] (closed_form) = 8.73767736283637800E-2 " "
y[1] (numeric) = 8.73767736283611400E-2 " "
absolute error = 2.6506574712925610000000000000000E-15 " "
relative error = 3.033595040446903000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6160000000000423 " "
y[1] (closed_form) = 8.73251401393870800E-2 " "
y[1] (numeric) = 8.73251401393844300E-2 " "
absolute error = 2.6506574712925610000000000000000E-15 " "
relative error = 3.035388740357727000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6150000000000424 " "
y[1] (closed_form) = 8.72735524044976300E-2 " "
y[1] (numeric) = 8.727355240449499E-2 " "
absolute error = 2.6367796834847470000000000000000E-15 " "
relative error = 3.021281488879626300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6140000000000425 " "
y[1] (closed_form) = 8.72220103696525600E-2 " "
y[1] (numeric) = 8.7222010369649890E-2 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 3.0548886087444005000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6130000000000426 " "
y[1] (closed_form) = 8.71705139808886600E-2 " "
y[1] (numeric) = 8.717051398088600E-2 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 3.0566932984753886000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6120000000000427 " "
y[1] (closed_form) = 8.71190631843224300E-2 " "
y[1] (numeric) = 8.71190631843197800E-2 " "
absolute error = 2.6506574712925610000000000000000E-15 " "
relative error = 3.0425688413159635000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.611000000000043 " "
y[1] (closed_form) = 8.70676579261498400E-2 " "
y[1] (numeric) = 8.70676579261471800E-2 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 3.060304276658521400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.610000000000043 " "
y[1] (closed_form) = 8.70162981526461800E-2 " "
y[1] (numeric) = 8.70162981526435300E-2 " "
absolute error = 2.6506574712925610000000000000000E-15 " "
relative error = 3.0461620725840477000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.609000000000043 " "
y[1] (closed_form) = 8.696498381016600E-2 " "
y[1] (numeric) = 8.69649838101633200E-2 " "
absolute error = 2.67841304690819000000000000000E-15 " "
relative error = 3.0798752895243914000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.608000000000043 " "
y[1] (closed_form) = 8.69137148451428200E-2 " "
y[1] (numeric) = 8.69137148451401600E-2 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 3.0657247407361090000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6070000000000433 " "
y[1] (closed_form) = 8.68624912040891900E-2 " "
y[1] (numeric) = 8.68624912040865100E-2 " "
absolute error = 2.67841304690819000000000000000E-15 " "
relative error = 3.083509360346436400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6060000000000434 " "
y[1] (closed_form) = 8.68113128335963900E-2 " "
y[1] (numeric) = 8.6811312833593690E-2 " "
absolute error = 2.6922908347160046000000000000000E-15 " "
relative error = 3.101313350572985600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6050000000000435 " "
y[1] (closed_form) = 8.67601796803343500E-2 " "
y[1] (numeric) = 8.67601796803316500E-2 " "
absolute error = 2.706168622523819000000000000000E-15 " "
relative error = 3.11913671974243000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6040000000000436 " "
y[1] (closed_form) = 8.67090916910514800E-2 " "
y[1] (numeric) = 8.67090916910487900E-2 " "
absolute error = 2.6922908347160046000000000000000E-15 " "
relative error = 3.10496948152653000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6030000000000437 " "
y[1] (closed_form) = 8.66580488125746500E-2 " "
y[1] (numeric) = 8.66580488125719400E-2 " "
absolute error = 2.706168622523819000000000000000E-15 " "
relative error = 3.1228127791992666000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.602000000000044 " "
y[1] (closed_form) = 8.66070509918088800E-2 " "
y[1] (numeric) = 8.66070509918061400E-2 " "
absolute error = 2.733924198139448000000000000000E-15 " "
relative error = 3.1566993297093293000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.601000000000044 " "
y[1] (closed_form) = 8.65560981757372400E-2 " "
y[1] (numeric) = 8.65560981757345300E-2 " "
absolute error = 2.706168622523819000000000000000E-15 " "
relative error = 3.1264910035910004000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.600000000000044 " "
y[1] (closed_form) = 8.65051903114209100E-2 " "
y[1] (numeric) = 8.6505190311418210E-2 " "
absolute error = 2.706168622523819000000000000000E-15 " "
relative error = 3.128330927637454000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.599000000000044 " "
y[1] (closed_form) = 8.64543273459987800E-2 " "
y[1] (numeric) = 8.64543273459960500E-2 " "
absolute error = 2.733924198139448000000000000000E-15 " "
relative error = 3.162275714896274000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5980000000000443 " "
y[1] (closed_form) = 8.6403509226687390E-2 " "
y[1] (numeric) = 8.64035092266846600E-2 " "
absolute error = 2.733924198139448000000000000000E-15 " "
relative error = 3.164135603528268000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5970000000000444 " "
y[1] (closed_form) = 8.63527359007808700E-2 " "
y[1] (numeric) = 8.63527359007781700E-2 " "
absolute error = 2.7200464103316335000000000000000E-15 " "
relative error = 3.1499249930621326000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5960000000000445 " "
y[1] (closed_form) = 8.6302007315650800E-2 " "
y[1] (numeric) = 8.63020073156480800E-2 " "
absolute error = 2.7200464103316335000000000000000E-15 " "
relative error = 3.151776528653645300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5950000000000446 " "
y[1] (closed_form) = 8.62513234187459600E-2 " "
y[1] (numeric) = 8.62513234187432200E-2 " "
absolute error = 2.733924198139448000000000000000E-15 " "
relative error = 3.1697185501332880000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5940000000000447 " "
y[1] (closed_form) = 8.62006841575922900E-2 " "
y[1] (numeric) = 8.62006841575895400E-2 " "
absolute error = 2.7478019859472624000000000000000E-15 " "
relative error = 3.187680019944766400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.593000000000045 " "
y[1] (closed_form) = 8.61500894797927200E-2 " "
y[1] (numeric) = 8.61500894797899600E-2 " "
absolute error = 2.761679773755077000000000000000E-15 " "
relative error = 3.2056609464147495000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.592000000000045 " "
y[1] (closed_form) = 8.60995393330270100E-2 " "
y[1] (numeric) = 8.60995393330242700E-2 " "
absolute error = 2.7478019859472624000000000000000E-15 " "
relative error = 3.191424724491215000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.591000000000045 " "
y[1] (closed_form) = 8.60490336650517700E-2 " "
y[1] (numeric) = 8.604903366504900E-2 " "
absolute error = 2.761679773755077000000000000000E-15 " "
relative error = 3.2094256682823324000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.590000000000045 " "
y[1] (closed_form) = 8.59985724237000600E-2 " "
y[1] (numeric) = 8.59985724236972600E-2 " "
absolute error = 2.789435349370706000000000000000E-15 " "
relative error = 3.2435833186016644000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5890000000000453 " "
y[1] (closed_form) = 8.59481555568814400E-2 " "
y[1] (numeric) = 8.59481555568786500E-2 " "
absolute error = 2.789435349370706000000000000000E-15 " "
relative error = 3.24548599245347000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5880000000000454 " "
y[1] (closed_form) = 8.58977830125818400E-2 " "
y[1] (numeric) = 8.58977830125790500E-2 " "
absolute error = 2.789435349370706000000000000000E-15 " "
relative error = 3.2473892241923450000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5870000000000455 " "
y[1] (closed_form) = 8.58474547388633500E-2 " "
y[1] (numeric) = 8.58474547388605500E-2 " "
absolute error = 2.8033131371785200000000000000000E-15 " "
relative error = 3.2654586507029587000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5860000000000456 " "
y[1] (closed_form) = 8.5797170683864100E-2 " "
y[1] (numeric) = 8.57971706838612800E-2 " "
absolute error = 2.8171909249863347000000000000000E-15 " "
relative error = 3.2835475838321143000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5850000000000457 " "
y[1] (closed_form) = 8.57469307957981000E-2 " "
y[1] (numeric) = 8.57469307957953200E-2 " "
absolute error = 2.789435349370706000000000000000E-15 " "
relative error = 3.2531022667313914000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.584000000000046 " "
y[1] (closed_form) = 8.56967350229553200E-2 " "
y[1] (numeric) = 8.5696735022952500E-2 " "
absolute error = 2.8171909249863347000000000000000E-15 " "
relative error = 3.2873958666356456000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.583000000000046 " "
y[1] (closed_form) = 8.56465833137011600E-2 " "
y[1] (numeric) = 8.56465833136983300E-2 " "
absolute error = 2.831068712794149000000000000000E-15 " "
relative error = 3.3055244041956470000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.582000000000046 " "
y[1] (closed_form) = 8.5596475616476700E-2 " "
y[1] (numeric) = 8.55964756164738500E-2 " "
absolute error = 2.8449465006019636000000000000000E-15 " "
relative error = 3.3236724761297676000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.581000000000046 " "
y[1] (closed_form) = 8.5546411879798300E-2 " "
y[1] (numeric) = 8.55464118797954800E-2 " "
absolute error = 2.831068712794149000000000000000E-15 " "
relative error = 3.3093950413397800000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5800000000000463 " "
y[1] (closed_form) = 8.54963920522577200E-2 " "
y[1] (numeric) = 8.54963920522548800E-2 " "
absolute error = 2.8449465006019636000000000000000E-15 " "
relative error = 3.3275632249639900000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5790000000000464 " "
y[1] (closed_form) = 8.5446416082521690E-2 " "
y[1] (numeric) = 8.54464160825188400E-2 " "
absolute error = 2.858824288409778000000000000000E-15 " "
relative error = 3.3457509623912224000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5780000000000465 " "
y[1] (closed_form) = 8.53964839193320100E-2 " "
y[1] (numeric) = 8.53964839193291700E-2 " "
absolute error = 2.8449465006019636000000000000000E-15 " "
relative error = 3.3314562497554145000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5770000000000466 " "
y[1] (closed_form) = 8.53465955115053700E-2 " "
y[1] (numeric) = 8.53465955115025200E-2 " "
absolute error = 2.858824288409778000000000000000E-15 " "
relative error = 3.349664121077198000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5760000000000467 " "
y[1] (closed_form) = 8.52967508079331500E-2 " "
y[1] (numeric) = 8.52967508079302900E-2 " "
absolute error = 2.8727020762175925000000000000000E-15 " "
relative error = 3.3678915656309060000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.575000000000047 " "
y[1] (closed_form) = 8.5246949757581300E-2 " "
y[1] (numeric) = 8.52469497575784500E-2 " "
absolute error = 2.858824288409778000000000000000E-15 " "
relative error = 3.353579566822604000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.574000000000047 " "
y[1] (closed_form) = 8.51971923094903200E-2 " "
y[1] (numeric) = 8.51971923094874600E-2 " "
absolute error = 2.8727020762175925000000000000000E-15 " "
relative error = 3.3718271674753240000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.573000000000047 " "
y[1] (closed_form) = 8.514747841277499E-2 " "
y[1] (numeric) = 8.51474784127721300E-2 " "
absolute error = 2.8727020762175925000000000000000E-15 " "
relative error = 3.373795830208156000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.572000000000047 " "
y[1] (closed_form) = 8.50978080166243200E-2 " "
y[1] (numeric) = 8.50978080166214300E-2 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 3.3920731112856606000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5710000000000472 " "
y[1] (closed_form) = 8.50481810703013800E-2 " "
y[1] (numeric) = 8.50481810702984900E-2 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 3.394052439098423000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5700000000000474 " "
y[1] (closed_form) = 8.4998597523143200E-2 " "
y[1] (numeric) = 8.49985975231403200E-2 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 3.396032344227158000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5690000000000475 " "
y[1] (closed_form) = 8.49490573245606600E-2 " "
y[1] (numeric) = 8.49490573245577600E-2 " "
absolute error = 2.9004576518332215000000000000000E-15 " "
relative error = 3.4143494268000950000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5680000000000476 " "
y[1] (closed_form) = 8.48995604240383200E-2 " "
y[1] (numeric) = 8.48995604240353900E-2 " "
absolute error = 2.9282132274488504000000000000000E-15 " "
relative error = 3.4490322597945530000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5670000000000477 " "
y[1] (closed_form) = 8.4850106771134200E-2 " "
y[1] (numeric) = 8.48501067711313000E-2 " "
absolute error = 2.914335439641036000000000000000E-15 " "
relative error = 3.434686826619864000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.566000000000048 " "
y[1] (closed_form) = 8.48006963154799300E-2 " "
y[1] (numeric) = 8.48006963154770200E-2 " "
absolute error = 2.914335439641036000000000000000E-15 " "
relative error = 3.4366881007662660000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.565000000000048 " "
y[1] (closed_form) = 8.47513290067803700E-2 " "
y[1] (numeric) = 8.47513290067774100E-2 " "
absolute error = 2.9559688030644793000000000000000E-15 " "
relative error = 3.4878141000337504000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.564000000000048 " "
y[1] (closed_form) = 8.47020047948134700E-2 " "
y[1] (numeric) = 8.4702004794810500E-2 " "
absolute error = 2.9559688030644793000000000000000E-15 " "
relative error = 3.4898451461983360000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.563000000000048 " "
y[1] (closed_form) = 8.46527236294303300E-2 " "
y[1] (numeric) = 8.46527236294273800E-2 " "
absolute error = 2.942091015256665000000000000000E-15 " "
relative error = 3.4754829958404540000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5620000000000482 " "
y[1] (closed_form) = 8.460348546055501E-2 " "
y[1] (numeric) = 8.46034854605520300E-2 " "
absolute error = 2.9698465908722940000000000000000E-15 " "
relative error = 3.5103123408041350000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5610000000000483 " "
y[1] (closed_form) = 8.4554290238184190E-2 " "
y[1] (numeric) = 8.45542902381812400E-2 " "
absolute error = 2.9559688030644793000000000000000E-15 " "
relative error = 3.4959418318546565000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5600000000000485 " "
y[1] (closed_form) = 8.45051379123874400E-2 " "
y[1] (numeric) = 8.45051379123844800E-2 " "
absolute error = 2.9559688030644793000000000000000E-15 " "
relative error = 3.4979752427942845000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5590000000000486 " "
y[1] (closed_form) = 8.44560284333067500E-2 " "
y[1] (numeric) = 8.44560284333037500E-2 " "
absolute error = 2.9976021664879227000000000000000E-15 " "
relative error = 3.549305149785808000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5580000000000487 " "
y[1] (closed_form) = 8.44069617511564700E-2 " "
y[1] (numeric) = 8.44069617511534900E-2 " "
absolute error = 2.9837243786801080000000000000000E-15 " "
relative error = 3.5349268789896090000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.557000000000049 " "
y[1] (closed_form) = 8.4357937816223400E-2 " "
y[1] (numeric) = 8.43579378162203900E-2 " "
absolute error = 3.011479954295737000000000000000E-15 " "
relative error = 3.569883323672926600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.556000000000049 " "
y[1] (closed_form) = 8.43089565788663300E-2 " "
y[1] (numeric) = 8.43089565788633400E-2 " "
absolute error = 2.9976021664879227000000000000000E-15 " "
relative error = 3.555496697060689000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.555000000000049 " "
y[1] (closed_form) = 8.42600179895162600E-2 " "
y[1] (numeric) = 8.42600179895132300E-2 " "
absolute error = 3.0253577421035516000000000000000E-15 " "
relative error = 3.5905021317227476000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.554000000000049 " "
y[1] (closed_form) = 8.42111219986759200E-2 " "
y[1] (numeric) = 8.4211121998672890E-2 " "
absolute error = 3.0253577421035516000000000000000E-15 " "
relative error = 3.592586905742831000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5530000000000492 " "
y[1] (closed_form) = 8.41622685569199700E-2 " "
y[1] (numeric) = 8.41622685569169400E-2 " "
absolute error = 3.0253577421035516000000000000000E-15 " "
relative error = 3.5946722848344626000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5520000000000493 " "
y[1] (closed_form) = 8.41134576148946600E-2 " "
y[1] (numeric) = 8.41134576148916400E-2 " "
absolute error = 3.0253577421035516000000000000000E-15 " "
relative error = 3.5967582689976435000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5510000000000495 " "
y[1] (closed_form) = 8.40646891233178200E-2 " "
y[1] (numeric) = 8.4064689123314800E-2 " "
absolute error = 3.011479954295737000000000000000E-15 " "
relative error = 3.5823363955799310000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5500000000000496 " "
y[1] (closed_form) = 8.40159630329786900E-2 " "
y[1] (numeric) = 8.40159630329756500E-2 " "
absolute error = 3.039235529911366000000000000000E-15 " "
relative error = 3.6174500894768990000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5490000000000497 " "
y[1] (closed_form) = 8.39672792947377300E-2 " "
y[1] (numeric) = 8.39672792947346900E-2 " "
absolute error = 3.039235529911366000000000000000E-15 " "
relative error = 3.619547465916091000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.54800000000005 " "
y[1] (closed_form) = 8.39186378595266500E-2 " "
y[1] (numeric) = 8.39186378595236000E-2 " "
absolute error = 3.039235529911366000000000000000E-15 " "
relative error = 3.6216454502023887000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.54700000000005 " "
y[1] (closed_form) = 8.38700386783481500E-2 " "
y[1] (numeric) = 8.38700386783451000E-2 " "
absolute error = 3.039235529911366000000000000000E-15 " "
relative error = 3.6237440423357925000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.54600000000005 " "
y[1] (closed_form) = 8.38214817022758800E-2 " "
y[1] (numeric) = 8.38214817022728400E-2 " "
absolute error = 3.039235529911366000000000000000E-15 " "
relative error = 3.6258432423163023000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.54500000000005 " "
y[1] (closed_form) = 8.37729668824543000E-2 " "
y[1] (numeric) = 8.37729668824512300E-2 " "
absolute error = 3.0808688933348094000000000000000E-15 " "
relative error = 3.677640900145888000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.54400000000005 " "
y[1] (closed_form) = 8.37244941700984700E-2 " "
y[1] (numeric) = 8.37244941700953800E-2 " "
absolute error = 3.094746681142624000000000000000E-15 " "
relative error = 3.696345629577883000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5430000000000503 " "
y[1] (closed_form) = 8.36760635164940300E-2 " "
y[1] (numeric) = 8.36760635164909400E-2 " "
absolute error = 3.0808688933348094000000000000000E-15 " "
relative error = 3.681899893304033700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5420000000000504 " "
y[1] (closed_form) = 8.36276748729970900E-2 " "
y[1] (numeric) = 8.362767487299400E-2 " "
absolute error = 3.094746681142624000000000000000E-15 " "
relative error = 3.700625045288566400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5410000000000506 " "
y[1] (closed_form) = 8.35793281910340400E-2 " "
y[1] (numeric) = 8.35793281910309300E-2 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 3.719370011978531000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5400000000000507 " "
y[1] (closed_form) = 8.35310234221014100E-2 " "
y[1] (numeric) = 8.35310234220983000E-2 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 3.721520869248597400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5390000000000508 " "
y[1] (closed_form) = 8.34827605177658600E-2 " "
y[1] (numeric) = 8.34827605177627700E-2 " "
absolute error = 3.094746681142624000000000000000E-15 " "
relative error = 3.707048810974614000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.538000000000051 " "
y[1] (closed_form) = 8.34345394296639700E-2 " "
y[1] (numeric) = 8.34345394296608500E-2 " "
absolute error = 3.1225022567582530000000000000000E-15 " "
relative error = 3.742457593824855000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.537000000000051 " "
y[1] (closed_form) = 8.33863601095020800E-2 " "
y[1] (numeric) = 8.33863601094989700E-2 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 3.7279771714081605000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.536000000000051 " "
y[1] (closed_form) = 8.33382225090563300E-2 " "
y[1] (numeric) = 8.3338222509053210E-2 " "
absolute error = 3.1225022567582530000000000000000E-15 " "
relative error = 3.746782883950917000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.535000000000051 " "
y[1] (closed_form) = 8.32901265801723200E-2 " "
y[1] (numeric) = 8.32901265801692100E-2 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 3.732284481472337700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5340000000000513 " "
y[1] (closed_form) = 8.32420722747652300E-2 " "
y[1] (numeric) = 8.3242072274762100E-2 " "
absolute error = 3.1363800445660670000000000000000E-15 " "
relative error = 3.7677822750658000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5330000000000514 " "
y[1] (closed_form) = 8.31940595448194900E-2 " "
y[1] (numeric) = 8.31940595448163500E-2 " "
absolute error = 3.1363800445660670000000000000000E-15 " "
relative error = 3.7699567273506973000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5320000000000515 " "
y[1] (closed_form) = 8.31460883423887500E-2 " "
y[1] (numeric) = 8.31460883423856200E-2 " "
absolute error = 3.1363800445660670000000000000000E-15 " "
relative error = 3.7721318069116033000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5310000000000517 " "
y[1] (closed_form) = 8.3098158619595800E-2 " "
y[1] (numeric) = 8.30981586195926700E-2 " "
absolute error = 3.1363800445660670000000000000000E-15 " "
relative error = 3.774307513748519400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5300000000000518 " "
y[1] (closed_form) = 8.30502703286323800E-2 " "
y[1] (numeric) = 8.30502703286292400E-2 " "
absolute error = 3.1363800445660670000000000000000E-15 " "
relative error = 3.776483847861444000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.529000000000052 " "
y[1] (closed_form) = 8.30024234217591200E-2 " "
y[1] (numeric) = 8.30024234217559700E-2 " "
absolute error = 3.1502578323738817000000000000000E-15 " "
relative error = 3.795380547344405000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.528000000000052 " "
y[1] (closed_form) = 8.29546178513053200E-2 " "
y[1] (numeric) = 8.29546178513021800E-2 " "
absolute error = 3.1502578323738817000000000000000E-15 " "
relative error = 3.797567771357422000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.527000000000052 " "
y[1] (closed_form) = 8.29068535696689800E-2 " "
y[1] (numeric) = 8.29068535696658300E-2 " "
absolute error = 3.1502578323738817000000000000000E-15 " "
relative error = 3.799755625422005500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.526000000000052 " "
y[1] (closed_form) = 8.28591305293165500E-2 " "
y[1] (numeric) = 8.28591305293133900E-2 " "
absolute error = 3.164135620181696000000000000000E-15 " "
relative error = 3.818692762003081000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5250000000000523 " "
y[1] (closed_form) = 8.28114486827828800E-2 " "
y[1] (numeric) = 8.28114486827797200E-2 " "
absolute error = 3.164135620181696000000000000000E-15 " "
relative error = 3.820891519845544500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5240000000000524 " "
y[1] (closed_form) = 8.27638079826710800E-2 " "
y[1] (numeric) = 8.27638079826679100E-2 " "
absolute error = 3.164135620181696000000000000000E-15 " "
relative error = 3.823090910515133000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5230000000000525 " "
y[1] (closed_form) = 8.27162083816524500E-2 " "
y[1] (numeric) = 8.27162083816492600E-2 " "
absolute error = 3.191891195797325000000000000000E-15 " "
relative error = 3.858846117643527000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5220000000000526 " "
y[1] (closed_form) = 8.26686498324662300E-2 " "
y[1] (numeric) = 8.26686498324630300E-2 " "
absolute error = 3.2057689836051395000000000000000E-15 " "
relative error = 3.877853321787465000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5210000000000528 " "
y[1] (closed_form) = 8.26211322879196500E-2 " "
y[1] (numeric) = 8.26211322879164400E-2 " "
absolute error = 3.2057689836051395000000000000000E-15 " "
relative error = 3.880083575269359000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.520000000000053 " "
y[1] (closed_form) = 8.2573655700887700E-2 " "
y[1] (numeric) = 8.2573655700884500E-2 " "
absolute error = 3.2057689836051395000000000000000E-15 " "
relative error = 3.88231446990505000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.519000000000053 " "
y[1] (closed_form) = 8.25262200243130900E-2 " "
y[1] (numeric) = 8.25262200243098800E-2 " "
absolute error = 3.2057689836051395000000000000000E-15 " "
relative error = 3.884546005694537500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.518000000000053 " "
y[1] (closed_form) = 8.24788252112060400E-2 " "
y[1] (numeric) = 8.24788252112028400E-2 " "
absolute error = 3.2057689836051395000000000000000E-15 " "
relative error = 3.886778182637821700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.517000000000053 " "
y[1] (closed_form) = 8.24314712146442700E-2 " "
y[1] (numeric) = 8.24314712146410500E-2 " "
absolute error = 3.219646771412954000000000000000E-15 " "
relative error = 3.905846546192628400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5160000000000533 " "
y[1] (closed_form) = 8.23841579877727700E-2 " "
y[1] (numeric) = 8.23841579877695500E-2 " "
absolute error = 3.219646771412954000000000000000E-15 " "
relative error = 3.908089674098271000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5150000000000534 " "
y[1] (closed_form) = 8.23368854838037900E-2 " "
y[1] (numeric) = 8.23368854838005600E-2 " "
absolute error = 3.2335245592207684000000000000000E-15 " "
relative error = 3.9271883314760847000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5140000000000535 " "
y[1] (closed_form) = 8.22896536560166400E-2 " "
y[1] (numeric) = 8.22896536560134200E-2 " "
absolute error = 3.219646771412954000000000000000E-15 " "
relative error = 3.912577861697621000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5130000000000536 " "
y[1] (closed_form) = 8.22424624577576600E-2 " "
y[1] (numeric) = 8.22424624577544400E-2 " "
absolute error = 3.219646771412954000000000000000E-15 " "
relative error = 3.914822921391327000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5120000000000537 " "
y[1] (closed_form) = 8.21953118424400600E-2 " "
y[1] (numeric) = 8.21953118424368000E-2 " "
absolute error = 3.247402347028583000000000000000E-15 " "
relative error = 3.950836457988648500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.511000000000054 " "
y[1] (closed_form) = 8.2148201763543700E-2 " "
y[1] (numeric) = 8.21482017635404700E-2 " "
absolute error = 3.2335245592207684000000000000000E-15 " "
relative error = 3.936208571586486000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.510000000000054 " "
y[1] (closed_form) = 8.21011321746152200E-2 " "
y[1] (numeric) = 8.21011321746119900E-2 " "
absolute error = 3.2335245592207684000000000000000E-15 " "
relative error = 3.938465248376366600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.509000000000054 " "
y[1] (closed_form) = 8.2054103029267700E-2 " "
y[1] (numeric) = 8.20541030292644700E-2 " "
absolute error = 3.2335245592207684000000000000000E-15 " "
relative error = 3.940722571871158600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.508000000000054 " "
y[1] (closed_form) = 8.20071142811806600E-2 " "
y[1] (numeric) = 8.20071142811774200E-2 " "
absolute error = 3.2335245592207684000000000000000E-15 " "
relative error = 3.942980542070862000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5070000000000543 " "
y[1] (closed_form) = 8.19601658840998900E-2 " "
y[1] (numeric) = 8.19601658840966500E-2 " "
absolute error = 3.247402347028583000000000000000E-15 " "
relative error = 3.962171515880952000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5060000000000544 " "
y[1] (closed_form) = 8.19132577918373900E-2 " "
y[1] (numeric) = 8.19132577918341200E-2 " "
absolute error = 3.2751579226442120000000000000000E-15 " "
relative error = 3.998324582532449000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5050000000000545 " "
y[1] (closed_form) = 8.18663899582711700E-2 " "
y[1] (numeric) = 8.1866389958267890E-2 " "
absolute error = 3.2751579226442120000000000000000E-15 " "
relative error = 4.0006135904045864000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5040000000000546 " "
y[1] (closed_form) = 8.18195623373452600E-2 " "
y[1] (numeric) = 8.181956233734200E-2 " "
absolute error = 3.2612801348363973000000000000000E-15 " "
relative error = 3.985941798845136000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5030000000000547 " "
y[1] (closed_form) = 8.17727748830695400E-2 " "
y[1] (numeric) = 8.17727748830662700E-2 " "
absolute error = 3.2751579226442120000000000000000E-15 " "
relative error = 4.0051935712436115000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.502000000000055 " "
y[1] (closed_form) = 8.17260275495195400E-2 " "
y[1] (numeric) = 8.17260275495162800E-2 " "
absolute error = 3.2751579226442120000000000000000E-15 " "
relative error = 4.007484544210501000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.501000000000055 " "
y[1] (closed_form) = 8.1679320290836490E-2 " "
y[1] (numeric) = 8.1679320290833200E-2 " "
absolute error = 3.2890357104520260000000000000000E-15 " "
relative error = 4.02676674920985970000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.500000000000055 " "
y[1] (closed_form) = 8.16326530612270500E-2 " "
y[1] (numeric) = 8.16326530612237800E-2 " "
absolute error = 3.2751579226442120000000000000000E-15 " "
relative error = 4.0120684552390334000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.499000000000055 " "
y[1] (closed_form) = 8.15860258149633500E-2 " "
y[1] (numeric) = 8.15860258149600500E-2 " "
absolute error = 3.3029134982598407000000000000000E-15 " "
relative error = 4.048381405108308400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4980000000000553 " "
y[1] (closed_form) = 8.15394385063827200E-2 " "
y[1] (numeric) = 8.15394385063794100E-2 " "
absolute error = 3.3029134982598407000000000000000E-15 " "
relative error = 4.0506944354311390000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4970000000000554 " "
y[1] (closed_form) = 8.14928910898876800E-2 " "
y[1] (numeric) = 8.14928910898843900E-2 " "
absolute error = 3.2890357104520260000000000000000E-15 " "
relative error = 4.035978680427694000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4960000000000555 " "
y[1] (closed_form) = 8.14463835199458600E-2 " "
y[1] (numeric) = 8.14463835199425600E-2 " "
absolute error = 3.3029134982598407000000000000000E-15 " "
relative error = 4.055322477824901400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4950000000000556 " "
y[1] (closed_form) = 8.13999157510897800E-2 " "
y[1] (numeric) = 8.13999157510864600E-2 " "
absolute error = 3.316791286067655000000000000000E-15 " "
relative error = 4.0746863869122000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4940000000000557 " "
y[1] (closed_form) = 8.1353487737916800E-2 " "
y[1] (numeric) = 8.13534877379134700E-2 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 4.094070416016263300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.493000000000056 " "
y[1] (closed_form) = 8.130709943508900E-2 " "
y[1] (numeric) = 8.13070994350856700E-2 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 4.096406214237771600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.492000000000056 " "
y[1] (closed_form) = 8.12607507973330800E-2 " "
y[1] (numeric) = 8.12607507973297500E-2 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 4.098742678593094000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.491000000000056 " "
y[1] (closed_form) = 8.12144417794402500E-2 " "
y[1] (numeric) = 8.12144417794369200E-2 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 4.1010798090822337000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.490000000000056 " "
y[1] (closed_form) = 8.1168172336266100E-2 " "
y[1] (numeric) = 8.11681723362627700E-2 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 4.103417605705187000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4890000000000563 " "
y[1] (closed_form) = 8.11219424227305000E-2 " "
y[1] (numeric) = 8.11219424227271700E-2 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 4.105756068461954300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4880000000000564 " "
y[1] (closed_form) = 8.10757519938174900E-2 " "
y[1] (numeric) = 8.10757519938141400E-2 " "
absolute error = 3.344546861683284000000000000000E-15 " "
relative error = 4.125212260674839000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4870000000000565 " "
y[1] (closed_form) = 8.10296010045751800E-2 " "
y[1] (numeric) = 8.10296010045718400E-2 " "
absolute error = 3.344546861683284000000000000000E-15 " "
relative error = 4.127561804845170700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4860000000000566 " "
y[1] (closed_form) = 8.09834894101156400E-2 " "
y[1] (numeric) = 8.09834894101122600E-2 " "
absolute error = 3.372302437298913000000000000000E-15 " "
relative error = 4.164185146704334000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4850000000000567 " "
y[1] (closed_form) = 8.09374171656147100E-2 " "
y[1] (numeric) = 8.09374171656113700E-2 " "
absolute error = 3.344546861683284000000000000000E-15 " "
relative error = 4.1322628999139530000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.484000000000057 " "
y[1] (closed_form) = 8.08913842263121200E-2 " "
y[1] (numeric) = 8.08913842263087500E-2 " "
absolute error = 3.372302437298913000000000000000E-15 " "
relative error = 4.168926603931177000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.483000000000057 " "
y[1] (closed_form) = 8.08453905475110400E-2 " "
y[1] (numeric) = 8.08453905475076700E-2 " "
absolute error = 3.372302437298913000000000000000E-15 " "
relative error = 4.171298344235329000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.482000000000057 " "
y[1] (closed_form) = 8.0799436084578300E-2 " "
y[1] (numeric) = 8.07994360845749200E-2 " "
absolute error = 3.3861802251067274000000000000000E-15 " "
relative error = 4.190846358831243300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.481000000000057 " "
y[1] (closed_form) = 8.07535207929440600E-2 " "
y[1] (numeric) = 8.07535207929406700E-2 " "
absolute error = 3.3861802251067274000000000000000E-15 " "
relative error = 4.19322921385565040000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4800000000000573 " "
y[1] (closed_form) = 8.0707644628101800E-2 " "
y[1] (numeric) = 8.0707644628098410E-2 " "
absolute error = 3.400058012914542000000000000000E-15 " "
relative error = 4.2128078803214963000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4790000000000574 " "
y[1] (closed_form) = 8.06618075456082100E-2 " "
y[1] (numeric) = 8.06618075456048100E-2 " "
absolute error = 3.400058012914542000000000000000E-15 " "
relative error = 4.215201861168389500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4780000000000575 " "
y[1] (closed_form) = 8.06160095010830600E-2 " "
y[1] (numeric) = 8.06160095010796600E-2 " "
absolute error = 3.4139358007223564000000000000000E-15 " "
relative error = 4.234811201708626000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4770000000000576 " "
y[1] (closed_form) = 8.05702504502090500E-2 " "
y[1] (numeric) = 8.05702504502056500E-2 " "
absolute error = 3.400058012914542000000000000000E-15 " "
relative error = 4.219991862896983500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4760000000000577 " "
y[1] (closed_form) = 8.05245303487318400E-2 " "
y[1] (numeric) = 8.05245303487284200E-2 " "
absolute error = 3.4139358007223564000000000000000E-15 " "
relative error = 4.239622120039005000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.475000000000058 " "
y[1] (closed_form) = 8.04788491524597400E-2 " "
y[1] (numeric) = 8.04788491524563400E-2 " "
absolute error = 3.400058012914542000000000000000E-15 " "
relative error = 4.224784584671988400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.474000000000058 " "
y[1] (closed_form) = 8.04332068172638500E-2 " "
y[1] (numeric) = 8.04332068172604500E-2 " "
absolute error = 3.400058012914542000000000000000E-15 " "
relative error = 4.227181965576893300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.473000000000058 " "
y[1] (closed_form) = 8.03876032990777400E-2 " "
y[1] (numeric) = 8.03876032990743100E-2 " "
absolute error = 3.427813588530171000000000000000E-15 " "
relative error = 4.264107210383143000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.472000000000058 " "
y[1] (closed_form) = 8.03420385538973700E-2 " "
y[1] (numeric) = 8.03420385538939500E-2 " "
absolute error = 3.4139358007223564000000000000000E-15 " "
relative error = 4.249252150145682000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4710000000000583 " "
y[1] (closed_form) = 8.02965125377811600E-2 " "
y[1] (numeric) = 8.02965125377777200E-2 " "
absolute error = 3.4416913763379850000000000000000E-15 " "
relative error = 4.2862277171983004000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4700000000000584 " "
y[1] (closed_form) = 8.02510252068496700E-2 " "
y[1] (numeric) = 8.02510252068462400E-2 " "
absolute error = 3.427813588530171000000000000000E-15 " "
relative error = 4.27136423453141960000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4690000000000585 " "
y[1] (closed_form) = 8.02055765172856400E-2 " "
y[1] (numeric) = 8.02055765172822000E-2 " "
absolute error = 3.4416913763379850000000000000000E-15 " "
relative error = 4.29108738542169000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4680000000000586 " "
y[1] (closed_form) = 8.01601664253337700E-2 " "
y[1] (numeric) = 8.01601664253303300E-2 " "
absolute error = 3.4416913763379850000000000000000E-15 " "
relative error = 4.2935182520407970000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4670000000000587 " "
y[1] (closed_form) = 8.01147948873007700E-2 " "
y[1] (numeric) = 8.01147948872973200E-2 " "
absolute error = 3.4416913763379850000000000000000E-15 " "
relative error = 4.29594980699818000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.466000000000059 " "
y[1] (closed_form) = 8.00694618595550800E-2 " "
y[1] (numeric) = 8.0069461859551600E-2 " "
absolute error = 3.469446951953614000000000000000E-15 " "
relative error = 4.333046421667174400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.465000000000059 " "
y[1] (closed_form) = 8.00241672985268200E-2 " "
y[1] (numeric) = 8.00241672985233500E-2 " "
absolute error = 3.469446951953614000000000000000E-15 " "
relative error = 4.335498973717511000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.464000000000059 " "
y[1] (closed_form) = 7.99789111607078100E-2 " "
y[1] (numeric) = 7.99789111607043400E-2 " "
absolute error = 3.469446951953614000000000000000E-15 " "
relative error = 4.337952219657237300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.463000000000059 " "
y[1] (closed_form) = 7.99336934026513200E-2 " "
y[1] (numeric) = 7.99336934026478300E-2 " "
absolute error = 3.4833247397614286000000000000000E-15 " "
relative error = 4.357767784124298000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4620000000000593 " "
y[1] (closed_form) = 7.98885139809719500E-2 " "
y[1] (numeric) = 7.98885139809684700E-2 " "
absolute error = 3.4833247397614286000000000000000E-15 " "
relative error = 4.36023223637768000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4610000000000594 " "
y[1] (closed_form) = 7.9843372852345710E-2 " "
y[1] (numeric) = 7.9843372852342210E-2 " "
absolute error = 3.497202527569243000000000000000E-15 " "
relative error = 4.3800786497792593000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4600000000000595 " "
y[1] (closed_form) = 7.97982699735096400E-2 " "
y[1] (numeric) = 7.97982699735061600E-2 " "
absolute error = 3.469446951953614000000000000000E-15 " "
relative error = 4.347772142310045700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4590000000000596 " "
y[1] (closed_form) = 7.97532053012620400E-2 " "
y[1] (numeric) = 7.97532053012585600E-2 " "
absolute error = 3.4833247397614286000000000000000E-15 " "
relative error = 4.3676297731275104000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4580000000000597 " "
y[1] (closed_form) = 7.97081787924620500E-2 " "
y[1] (numeric) = 7.97081787924585500E-2 " "
absolute error = 3.497202527569243000000000000000E-15 " "
relative error = 4.387507757108573500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.45700000000006 " "
y[1] (closed_form) = 7.96631904040296800E-2 " "
y[1] (numeric) = 7.9663190404026200E-2 " "
absolute error = 3.4833247397614286000000000000000E-15 " "
relative error = 4.372564947618804000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.45600000000006 " "
y[1] (closed_form) = 7.96182400929458500E-2 " "
y[1] (numeric) = 7.96182400929423400E-2 " "
absolute error = 3.5110803153770576000000000000000E-15 " "
relative error = 4.409894405199416000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.45500000000006 " "
y[1] (closed_form) = 7.95733278162519700E-2 " "
y[1] (numeric) = 7.95733278162484600E-2 " "
absolute error = 3.5110803153770576000000000000000E-15 " "
relative error = 4.412383410034987000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.45400000000006 " "
y[1] (closed_form) = 7.95284535310501100E-2 " "
y[1] (numeric) = 7.95284535310466100E-2 " "
absolute error = 3.5110803153770576000000000000000E-15 " "
relative error = 4.414873117086622000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4530000000000602 " "
y[1] (closed_form) = 7.94836171945028500E-2 " "
y[1] (numeric) = 7.94836171944993200E-2 " "
absolute error = 3.524958103184872000000000000000E-15 " "
relative error = 4.434823461241093000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4520000000000604 " "
y[1] (closed_form) = 7.943881876383301E-2 " "
y[1] (numeric) = 7.94388187638294800E-2 " "
absolute error = 3.524958103184872000000000000000E-15 " "
relative error = 4.437324419015303000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4510000000000605 " "
y[1] (closed_form) = 7.93940581963237200E-2 " "
y[1] (numeric) = 7.9394058196320190E-2 " "
absolute error = 3.524958103184872000000000000000E-15 " "
relative error = 4.439826081781132500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4500000000000606 " "
y[1] (closed_form) = 7.93493354493183100E-2 " "
y[1] (numeric) = 7.93493354493147800E-2 " "
absolute error = 3.524958103184872000000000000000E-15 " "
relative error = 4.442328449538584000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4490000000000607 " "
y[1] (closed_form) = 7.93046504802201500E-2 " "
y[1] (numeric) = 7.93046504802166000E-2 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 4.479830195691493000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.448000000000061 " "
y[1] (closed_form) = 7.92600032464924600E-2 " "
y[1] (numeric) = 7.92600032464889100E-2 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 4.482353688217545000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.447000000000061 " "
y[1] (closed_form) = 7.92153937056584300E-2 " "
y[1] (numeric) = 7.92153937056548900E-2 " "
absolute error = 3.5388358909926865000000000000000E-15 " "
relative error = 4.4673588370234960000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.446000000000061 " "
y[1] (closed_form) = 7.917082181530100E-2 " "
y[1] (numeric) = 7.91708218152974400E-2 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 4.4874028048978565000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.445000000000061 " "
y[1] (closed_form) = 7.91262875330626700E-2 " "
y[1] (numeric) = 7.91262875330591100E-2 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 4.489928429052116000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4440000000000612 " "
y[1] (closed_form) = 7.90817908166455800E-2 " "
y[1] (numeric) = 7.90817908166420200E-2 " "
absolute error = 3.566591466608315400000000000000E-15 " "
relative error = 4.510003415170004700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4430000000000613 " "
y[1] (closed_form) = 7.90373316238112700E-2 " "
y[1] (numeric) = 7.9037331623807700E-2 " "
absolute error = 3.566591466608315400000000000000E-15 " "
relative error = 4.5125403316802030000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4420000000000615 " "
y[1] (closed_form) = 7.89929099123806300E-2 " "
y[1] (numeric) = 7.89929099123770600E-2 " "
absolute error = 3.566591466608315400000000000000E-15 " "
relative error = 4.515077961508695600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4410000000000616 " "
y[1] (closed_form) = 7.89485256402338100E-2 " "
y[1] (numeric) = 7.89485256402302500E-2 " "
absolute error = 3.566591466608315400000000000000E-15 " "
relative error = 4.5176163046554807000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4400000000000617 " "
y[1] (closed_form) = 7.89041787653101400E-2 " "
y[1] (numeric) = 7.89041787653065500E-2 " "
absolute error = 3.58046925441613000000000000000E-15 " "
relative error = 4.53774351427667000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.439000000000062 " "
y[1] (closed_form) = 7.88598692456079400E-2 " "
y[1] (numeric) = 7.88598692456043400E-2 " "
absolute error = 3.594347042223944300000000000000E-15 " "
relative error = 4.557891201961547500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.438000000000062 " "
y[1] (closed_form) = 7.8815597039184500E-2 " "
y[1] (numeric) = 7.8815597039180900E-2 " "
absolute error = 3.608224830031759000000000000000E-15 " "
relative error = 4.578059376036787000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.437000000000062 " "
y[1] (closed_form) = 7.87713621041559800E-2 " "
y[1] (numeric) = 7.87713621041523600E-2 " "
absolute error = 3.622102617839573000000000000000E-15 " "
relative error = 4.598248044829061400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.436000000000062 " "
y[1] (closed_form) = 7.87271643986972600E-2 " "
y[1] (numeric) = 7.87271643986936500E-2 " "
absolute error = 3.608224830031759000000000000000E-15 " "
relative error = 4.583201818064548000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4350000000000622 " "
y[1] (closed_form) = 7.86830038810419000E-2 " "
y[1] (numeric) = 7.8683003881038300E-2 " "
absolute error = 3.608224830031759000000000000000E-15 " "
relative error = 4.5857741215458786000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4340000000000623 " "
y[1] (closed_form) = 7.86388805094820300E-2 " "
y[1] (numeric) = 7.86388805094784100E-2 " "
absolute error = 3.622102617839573000000000000000E-15 " "
relative error = 4.605994635697835400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4330000000000624 " "
y[1] (closed_form) = 7.85947942423681900E-2 " "
y[1] (numeric) = 7.85947942423645500E-2 " "
absolute error = 3.635980405647387700000000000000E-15 " "
relative error = 4.626235669546846000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4320000000000626 " "
y[1] (closed_form) = 7.8550745038109300E-2 " "
y[1] (numeric) = 7.85507450381056500E-2 " "
absolute error = 3.649858193455202000000000000000E-15 " "
relative error = 4.64649723141958000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4310000000000627 " "
y[1] (closed_form) = 7.8506732855172500E-2 " "
y[1] (numeric) = 7.85067328551688600E-2 " "
absolute error = 3.635980405647387700000000000000E-15 " "
relative error = 4.631424940781786000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4300000000000628 " "
y[1] (closed_form) = 7.84627576520832100E-2 " "
y[1] (numeric) = 7.84627576520795400E-2 " "
absolute error = 3.677613769070831000000000000000E-15 " "
relative error = 4.687081972542918600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.429000000000063 " "
y[1] (closed_form) = 7.84188193874247400E-2 " "
y[1] (numeric) = 7.84188193874210800E-2 " "
absolute error = 3.6637359812630166000000000000000E-15 " "
relative error = 4.672011144623957000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.428000000000063 " "
y[1] (closed_form) = 7.83749180198385100E-2 " "
y[1] (numeric) = 7.83749180198348500E-2 " "
absolute error = 3.6637359812630166000000000000000E-15 " "
relative error = 4.674628151235374000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.427000000000063 " "
y[1] (closed_form) = 7.83310535080237400E-2 " "
y[1] (numeric) = 7.83310535080200700E-2 " "
absolute error = 3.677613769070831000000000000000E-15 " "
relative error = 4.69496273108866000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.426000000000063 " "
y[1] (closed_form) = 7.82872258107374400E-2 " "
y[1] (numeric) = 7.82872258107337600E-2 " "
absolute error = 3.677613769070831000000000000000E-15 " "
relative error = 4.6975911216494154000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4250000000000633 " "
y[1] (closed_form) = 7.8243434886794300E-2 " "
y[1] (numeric) = 7.8243434886790600E-2 " "
absolute error = 3.70536934468646000000000000000E-15 " "
relative error = 4.735693608093170500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4240000000000634 " "
y[1] (closed_form) = 7.81996806950665500E-2 " "
y[1] (numeric) = 7.81996806950628500E-2 " "
absolute error = 3.70536934468646000000000000000E-15 " "
relative error = 4.738343317711556400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4230000000000635 " "
y[1] (closed_form) = 7.81559631944839700E-2 " "
y[1] (numeric) = 7.81559631944802500E-2 " "
absolute error = 3.7192471324942744000000000000000E-15 " "
relative error = 4.758750299371614000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4220000000000637 " "
y[1] (closed_form) = 7.81122823440336500E-2 " "
y[1] (numeric) = 7.81122823440299200E-2 " "
absolute error = 3.7192471324942744000000000000000E-15 " "
relative error = 4.761411420694914000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4210000000000638 " "
y[1] (closed_form) = 7.80686381027599900E-2 " "
y[1] (numeric) = 7.80686381027562700E-2 " "
absolute error = 3.7192471324942744000000000000000E-15 " "
relative error = 4.76407328586764000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.420000000000064 " "
y[1] (closed_form) = 7.80250304297646500E-2 " "
y[1] (numeric) = 7.80250304297609200E-2 " "
absolute error = 3.733124920302089000000000000000E-15 " "
relative error = 4.784522222855798000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.419000000000064 " "
y[1] (closed_form) = 7.79814592842062900E-2 " "
y[1] (numeric) = 7.79814592842025500E-2 " "
absolute error = 3.733124920302089000000000000000E-15 " "
relative error = 4.787195513611227000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.418000000000064 " "
y[1] (closed_form) = 7.79379246253006300E-2 " "
y[1] (numeric) = 7.79379246252969000E-2 " "
absolute error = 3.733124920302089000000000000000E-15 " "
relative error = 4.789869550991639000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.417000000000064 " "
y[1] (closed_form) = 7.78944264123202700E-2 " "
y[1] (numeric) = 7.78944264123165300E-2 " "
absolute error = 3.747002708109903300000000000000E-15 " "
relative error = 4.810360484941261000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4160000000000643 " "
y[1] (closed_form) = 7.78509646045946300E-2 " "
y[1] (numeric) = 7.78509646045908900E-2 " "
absolute error = 3.747002708109903300000000000000E-15 " "
relative error = 4.813045961782164000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4150000000000644 " "
y[1] (closed_form) = 7.78075391615098400E-2 " "
y[1] (numeric) = 7.7807539161506090E-2 " "
absolute error = 3.747002708109903300000000000000E-15 " "
relative error = 4.8157321880236076000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4140000000000645 " "
y[1] (closed_form) = 7.77641500425086700E-2 " "
y[1] (numeric) = 7.77641500425049200E-2 " "
absolute error = 3.747002708109903300000000000000E-15 " "
relative error = 4.8184191636655940000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4130000000000646 " "
y[1] (closed_form) = 7.77207972070904100E-2 " "
y[1] (numeric) = 7.77207972070866400E-2 " "
absolute error = 3.760880495917718000000000000000E-15 " "
relative error = 4.838962840147779000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4120000000000648 " "
y[1] (closed_form) = 7.76774806148107500E-2 " "
y[1] (numeric) = 7.76774806148069700E-2 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 4.8595271806560110000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.411000000000065 " "
y[1] (closed_form) = 7.76342002252817400E-2 " "
y[1] (numeric) = 7.76342002252779600E-2 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 4.86223632467624000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.410000000000065 " "
y[1] (closed_form) = 7.75909559981716700E-2 " "
y[1] (numeric) = 7.7590955998167900E-2 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 4.864946223648126000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.409000000000065 " "
y[1] (closed_form) = 7.75477478932049800E-2 " "
y[1] (numeric) = 7.75477478932012200E-2 " "
absolute error = 3.760880495917718000000000000000E-15 " "
relative error = 4.849761080227657000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.408000000000065 " "
y[1] (closed_form) = 7.75045758701621800E-2 " "
y[1] (numeric) = 7.75045758701584200E-2 " "
absolute error = 3.760880495917718000000000000000E-15 " "
relative error = 4.852462520687874600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4070000000000653 " "
y[1] (closed_form) = 7.74614398888797200E-2 " "
y[1] (numeric) = 7.74614398888759700E-2 " "
absolute error = 3.760880495917718000000000000000E-15 " "
relative error = 4.855164713324191000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4060000000000654 " "
y[1] (closed_form) = 7.74183399092499600E-2 " "
y[1] (numeric) = 7.74183399092461700E-2 " "
absolute error = 3.788636071533346700000000000000E-15 " "
relative error = 4.893719079967871500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4050000000000655 " "
y[1] (closed_form) = 7.73752758912209400E-2 " "
y[1] (numeric) = 7.73752758912171300E-2 " "
absolute error = 3.802513859341161000000000000000E-15 " "
relative error = 4.9143784180969846000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4040000000000656 " "
y[1] (closed_form) = 7.73322477947964600E-2 " "
y[1] (numeric) = 7.73322477947926500E-2 " "
absolute error = 3.802513859341161000000000000000E-15 " "
relative error = 4.917112805813237000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4030000000000658 " "
y[1] (closed_form) = 7.7289255580035900E-2 " "
y[1] (numeric) = 7.72892555800320900E-2 " "
absolute error = 3.802513859341161000000000000000E-15 " "
relative error = 4.919847954032261000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.402000000000066 " "
y[1] (closed_form) = 7.7246299207054100E-2 " "
y[1] (numeric) = 7.72462992070503100E-2 " "
absolute error = 3.788636071533346700000000000000E-15 " "
relative error = 4.9046182282184597000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.401000000000066 " "
y[1] (closed_form) = 7.72033786360213900E-2 " "
y[1] (numeric) = 7.72033786360175800E-2 " "
absolute error = 3.802513859341161000000000000000E-15 " "
relative error = 4.925320531978625000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.400000000000066 " "
y[1] (closed_form) = 7.71604938271633300E-2 " "
y[1] (numeric) = 7.7160493827159500E-2 " "
absolute error = 3.83026943495679000000000000000E-15 " "
relative error = 4.964029187703817300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.399000000000066 " "
y[1] (closed_form) = 7.7117644740760700E-2 " "
y[1] (numeric) = 7.71176447407568600E-2 " "
absolute error = 3.8441472227646045000000000000000E-15 " "
relative error = 4.9847829711178565000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3980000000000663 " "
y[1] (closed_form) = 7.7074831337149410E-2 " "
y[1] (numeric) = 7.70748313371455900E-2 " "
absolute error = 3.816391647148975600000000000000E-15 " "
relative error = 4.951540705233445000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3970000000000664 " "
y[1] (closed_form) = 7.7032053576720490E-2 " "
y[1] (numeric) = 7.70320535767166500E-2 " "
absolute error = 3.8441472227646045000000000000000E-15 " "
relative error = 4.990321618436416000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3960000000000665 " "
y[1] (closed_form) = 7.69893114199198100E-2 " "
y[1] (numeric) = 7.69893114199159500E-2 " "
absolute error = 3.858025010572419000000000000000E-15 " "
relative error = 5.011117698572134000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3950000000000666 " "
y[1] (closed_form) = 7.6946604827248110E-2 " "
y[1] (numeric) = 7.69466048272442600E-2 " "
absolute error = 3.8441472227646045000000000000000E-15 " "
relative error = 4.995863341072751500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3940000000000667 " "
y[1] (closed_form) = 7.69039337592609200E-2 " "
y[1] (numeric) = 7.69039337592570800E-2 " "
absolute error = 3.8441472227646045000000000000000E-15 " "
relative error = 4.9986353556350877000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.393000000000067 " "
y[1] (closed_form) = 7.68612981765684800E-2 " "
y[1] (numeric) = 7.68612981765646200E-2 " "
absolute error = 3.858025010572419000000000000000E-15 " "
relative error = 5.0194637640775050000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.392000000000067 " "
y[1] (closed_form) = 7.6818698039835500E-2 " "
y[1] (numeric) = 7.68186980398316500E-2 " "
absolute error = 3.858025010572419000000000000000E-15 " "
relative error = 5.0222473291226330000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.391000000000067 " "
y[1] (closed_form) = 7.67761333097812800E-2 " "
y[1] (numeric) = 7.67761333097774100E-2 " "
absolute error = 3.8719027983802334000000000000000E-15 " "
relative error = 5.043107319246765000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.390000000000067 " "
y[1] (closed_form) = 7.67336039471794500E-2 " "
y[1] (numeric) = 7.67336039471755700E-2 " "
absolute error = 3.885780586188048000000000000000E-15 " "
relative error = 5.063988117725937000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3890000000000673 " "
y[1] (closed_form) = 7.66911099128579800E-2 " "
y[1] (numeric) = 7.6691109912854100E-2 " "
absolute error = 3.8719027983802334000000000000000E-15 " "
relative error = 5.048698346887627000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3880000000000674 " "
y[1] (closed_form) = 7.66486511676990800E-2 " "
y[1] (numeric) = 7.66486511676951900E-2 " "
absolute error = 3.885780586188048000000000000000E-15 " "
relative error = 5.069600739204626000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3870000000000675 " "
y[1] (closed_form) = 7.66062276726390200E-2 " "
y[1] (numeric) = 7.66062276726351300E-2 " "
absolute error = 3.885780586188048000000000000000E-15 " "
relative error = 5.072408215678147000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3860000000000676 " "
y[1] (closed_form) = 7.65638393886681800E-2 " "
y[1] (numeric) = 7.65638393886642800E-2 " "
absolute error = 3.899658373995862300000000000000E-15 " "
relative error = 5.0933422424124550000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3850000000000677 " "
y[1] (closed_form) = 7.65214862768308200E-2 " "
y[1] (numeric) = 7.65214862768269200E-2 " "
absolute error = 3.899658373995862300000000000000E-15 " "
relative error = 5.096161305451017000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.384000000000068 " "
y[1] (closed_form) = 7.64791682982251400E-2 " "
y[1] (numeric) = 7.64791682982212200E-2 " "
absolute error = 3.913536161803677000000000000000E-15 " "
relative error = 5.117126988807092000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.383000000000068 " "
y[1] (closed_form) = 7.64368854140030100E-2 " "
y[1] (numeric) = 7.6436885413999090E-2 " "
absolute error = 3.913536161803677000000000000000E-15 " "
relative error = 5.119957649512926000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.382000000000068 " "
y[1] (closed_form) = 7.63946375853700400E-2 " "
y[1] (numeric) = 7.63946375853661400E-2 " "
absolute error = 3.899658373995862300000000000000E-15 " "
relative error = 5.10462317415675000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.381000000000068 " "
y[1] (closed_form) = 7.63524247735854800E-2 " "
y[1] (numeric) = 7.63524247735815600E-2 " "
absolute error = 3.913536161803677000000000000000E-15 " "
relative error = 5.125621319046287000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3800000000000683 " "
y[1] (closed_form) = 7.631024693996200E-2 " "
y[1] (numeric) = 7.63102469399580400E-2 " "
absolute error = 3.95516952522712000000000000000E-15 " "
relative error = 5.1830123526384310000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3790000000000684 " "
y[1] (closed_form) = 7.62681040458656500E-2 " "
y[1] (numeric) = 7.62681040458617000E-2 " "
absolute error = 3.95516952522712000000000000000E-15 " "
relative error = 5.185876290891648000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3780000000000685 " "
y[1] (closed_form) = 7.6225996052715900E-2 " "
y[1] (numeric) = 7.62259960527119500E-2 " "
absolute error = 3.95516952522712000000000000000E-15 " "
relative error = 5.18874102017877000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3770000000000686 " "
y[1] (closed_form) = 7.61839229219854600E-2 " "
y[1] (numeric) = 7.61839229219815000E-2 " "
absolute error = 3.969047313034934600000000000000E-15 " "
relative error = 5.209822703799795000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3760000000000687 " "
y[1] (closed_form) = 7.61418846152000800E-2 " "
y[1] (numeric) = 7.61418846151961200E-2 " "
absolute error = 3.95516952522712000000000000000E-15 " "
relative error = 5.194472851854728000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.375000000000069 " "
y[1] (closed_form) = 7.60998810939386700E-2 " "
y[1] (numeric) = 7.60998810939347300E-2 " "
absolute error = 3.941291737419305700000000000000E-15 " "
relative error = 5.17910367370236000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.374000000000069 " "
y[1] (closed_form) = 7.60579123198331100E-2 " "
y[1] (numeric) = 7.60579123198291600E-2 " "
absolute error = 3.95516952522712000000000000000E-15 " "
relative error = 5.200207847666307000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.373000000000069 " "
y[1] (closed_form) = 7.6015978254568100E-2 " "
y[1] (numeric) = 7.60159782545641300E-2 " "
absolute error = 3.969047313034934600000000000000E-15 " "
relative error = 5.2213329410075960000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.372000000000069 " "
y[1] (closed_form) = 7.59740788598811600E-2 " "
y[1] (numeric) = 7.5974078859877190E-2 " "
absolute error = 3.95516952522712000000000000000E-15 " "
relative error = 5.205946007613507000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3710000000000693 " "
y[1] (closed_form) = 7.59322140975625800E-2 " "
y[1] (numeric) = 7.59322140975586100E-2 " "
absolute error = 3.969047313034934600000000000000E-15 " "
relative error = 5.227092822468271000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3700000000000694 " "
y[1] (closed_form) = 7.58903839294552200E-2 " "
y[1] (numeric) = 7.58903839294512300E-2 " "
absolute error = 3.982925100842749000000000000000E-15 " "
relative error = 5.2482605761292800000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3690000000000695 " "
y[1] (closed_form) = 7.58485883174544200E-2 " "
y[1] (numeric) = 7.58485883174504500E-2 " "
absolute error = 3.969047313034934600000000000000E-15 " "
relative error = 5.232855879166798000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3680000000000696 " "
y[1] (closed_form) = 7.58068272235081300E-2 " "
y[1] (numeric) = 7.58068272235041400E-2 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 5.272352154861234000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3670000000000697 " "
y[1] (closed_form) = 7.57651006096164800E-2 " "
y[1] (numeric) = 7.5765100609612500E-2 " "
absolute error = 3.969047313034934600000000000000E-15 " "
relative error = 5.238622111103175000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.36600000000007 " "
y[1] (closed_form) = 7.57234084378320400E-2 " "
y[1] (numeric) = 7.57234084378280300E-2 " "
absolute error = 4.010680676458378000000000000000E-15 " "
relative error = 5.296487254335752000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.36500000000007 " "
y[1] (closed_form) = 7.56817506702594200E-2 " "
y[1] (numeric) = 7.56817506702554100E-2 " "
absolute error = 4.010680676458378000000000000000E-15 " "
relative error = 5.29940261811947000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.36400000000007 " "
y[1] (closed_form) = 7.56401272690554500E-2 " "
y[1] (numeric) = 7.56401272690514500E-2 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 5.283971660219119000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.36300000000007 " "
y[1] (closed_form) = 7.55985381964289200E-2 " "
y[1] (numeric) = 7.55985381964249200E-2 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 5.286878534960034000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3620000000000703 " "
y[1] (closed_form) = 7.5556983414640590E-2 " "
y[1] (numeric) = 7.55569834146365800E-2 " "
absolute error = 4.010680676458378000000000000000E-15 " "
relative error = 5.308153522287435000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3610000000000704 " "
y[1] (closed_form) = 7.55154628860030400E-2 " "
y[1] (numeric) = 7.55154628859990200E-2 " "
absolute error = 4.0245584642661925000000000000000E-15 " "
relative error = 5.329449506707790000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3600000000000705 " "
y[1] (closed_form) = 7.54739765728805900E-2 " "
y[1] (numeric) = 7.54739765728765700E-2 " "
absolute error = 4.0245584642661925000000000000000E-15 " "
relative error = 5.332378982813928000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3590000000000706 " "
y[1] (closed_form) = 7.54325244376892700E-2 " "
y[1] (numeric) = 7.54325244376852400E-2 " "
absolute error = 4.0245584642661925000000000000000E-15 " "
relative error = 5.3353092638317600000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3580000000000707 " "
y[1] (closed_form) = 7.53911064428967300E-2 " "
y[1] (numeric) = 7.53911064428926900E-2 " "
absolute error = 4.052314039881821400000000000000E-15 " "
relative error = 5.375055800449293000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.357000000000071 " "
y[1] (closed_form) = 7.53497225510220200E-2 " "
y[1] (numeric) = 7.53497225510180000E-2 " "
absolute error = 4.038436252074007000000000000000E-15 " "
relative error = 5.3595900759149250000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.356000000000071 " "
y[1] (closed_form) = 7.53083727246357600E-2 " "
y[1] (numeric) = 7.5308372724631700E-2 " "
absolute error = 4.066191827689636000000000000000E-15 " "
relative error = 5.399388780524605000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.355000000000071 " "
y[1] (closed_form) = 7.52670569263597700E-2 " "
y[1] (numeric) = 7.5267056926355700E-2 " "
absolute error = 4.066191827689636000000000000000E-15 " "
relative error = 5.402352627747808000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.354000000000071 " "
y[1] (closed_form) = 7.52257751188671900E-2 " "
y[1] (numeric) = 7.52257751188631000E-2 " "
absolute error = 4.08006961549745030000000000000E-15 " "
relative error = 5.423765470080398000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3530000000000713 " "
y[1] (closed_form) = 7.51845272648823300E-2 " "
y[1] (numeric) = 7.51845272648782300E-2 " "
absolute error = 4.093947403305265000000000000000E-15 " "
relative error = 5.445199367792649000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3520000000000714 " "
y[1] (closed_form) = 7.51433133271805200E-2 " "
y[1] (numeric) = 7.51433133271764400E-2 " "
absolute error = 4.08006961549745030000000000000E-15 " "
relative error = 5.4297174756354860000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3510000000000715 " "
y[1] (closed_form) = 7.51021332685882200E-2 " "
y[1] (numeric) = 7.51021332685841300E-2 " "
absolute error = 4.093947403305265000000000000000E-15 " "
relative error = 5.451173255843553000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3500000000000716 " "
y[1] (closed_form) = 7.50609870519826700E-2 " "
y[1] (numeric) = 7.50609870519785900E-2 " "
absolute error = 4.093947403305265000000000000000E-15 " "
relative error = 5.454161428053225000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3490000000000717 " "
y[1] (closed_form) = 7.50198746402920300E-2 " "
y[1] (numeric) = 7.50198746402879200E-2 " "
absolute error = 4.107825191113079000000000000000E-15 " "
relative error = 5.475649234032216000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.348000000000072 " "
y[1] (closed_form) = 7.49787959964951500E-2 " "
y[1] (numeric) = 7.49787959964910300E-2 " "
absolute error = 4.121702978920893700000000000000E-15 " "
relative error = 5.49715812869756000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.347000000000072 " "
y[1] (closed_form) = 7.49377510836215700E-2 " "
y[1] (numeric) = 7.49377510836174400E-2 " "
absolute error = 4.135580766728708000000000000000E-15 " "
relative error = 5.518688120375929000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.346000000000072 " "
y[1] (closed_form) = 7.48967398647514300E-2 " "
y[1] (numeric) = 7.48967398647473000E-2 " "
absolute error = 4.135580766728708000000000000000E-15 " "
relative error = 5.521709989242178000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.345000000000072 " "
y[1] (closed_form) = 7.48557623030153300E-2 " "
y[1] (numeric) = 7.4855762303011210E-2 " "
absolute error = 4.121702978920893700000000000000E-15 " "
relative error = 5.506193313797653000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3440000000000722 " "
y[1] (closed_form) = 7.48148183615943600E-2 " "
y[1] (numeric) = 7.48148183615902100E-2 " "
absolute error = 4.1494585545365226000000000000000E-15 " "
relative error = 5.546305725800729000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3430000000000724 " "
y[1] (closed_form) = 7.47739080037198400E-2 " "
y[1] (numeric) = 7.47739080037156800E-2 " "
absolute error = 4.1494585545365226000000000000000E-15 " "
relative error = 5.549340224841661000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3420000000000725 " "
y[1] (closed_form) = 7.47330311926733700E-2 " "
y[1] (numeric) = 7.47330311926692500E-2 " "
absolute error = 4.121702978920893700000000000000E-15 " "
relative error = 5.515235917963106000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3410000000000726 " "
y[1] (closed_form) = 7.46921878917868200E-2 " "
y[1] (numeric) = 7.46921878917826800E-2 " "
absolute error = 4.135580766728708000000000000000E-15 " "
relative error = 5.536831740315721000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3400000000000727 " "
y[1] (closed_form) = 7.46513780644420200E-2 " "
y[1] (numeric) = 7.46513780644378800E-2 " "
absolute error = 4.1494585545365226000000000000000E-15 " "
relative error = 5.558448701314723000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.339000000000073 " "
y[1] (closed_form) = 7.4610601674070900E-2 " "
y[1] (numeric) = 7.46106016740667200E-2 " "
absolute error = 4.1772141301521515000000000000000E-15 " "
relative error = 5.598687098651077000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.338000000000073 " "
y[1] (closed_form) = 7.45698586841551800E-2 " "
y[1] (numeric) = 7.456985868415100E-2 " "
absolute error = 4.1772141301521515000000000000000E-15 " "
relative error = 5.601746072558588000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.337000000000073 " "
y[1] (closed_form) = 7.45291490582265600E-2 " "
y[1] (numeric) = 7.45291490582223900E-2 " "
absolute error = 4.1772141301521515000000000000000E-15 " "
relative error = 5.604805881908923000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.336000000000073 " "
y[1] (closed_form) = 7.44884727598664500E-2 " "
y[1] (numeric) = 7.44884727598622700E-2 " "
absolute error = 4.1772141301521515000000000000000E-15 " "
relative error = 5.607866526702084000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3350000000000732 " "
y[1] (closed_form) = 7.44478297527059000E-2 " "
y[1] (numeric) = 7.44478297527017200E-2 " "
absolute error = 4.163336342344337000000000000000E-15 " "
relative error = 5.592287050104393000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3340000000000733 " "
y[1] (closed_form) = 7.4407220000425600E-2 " "
y[1] (numeric) = 7.44072200004214400E-2 " "
absolute error = 4.163336342344337000000000000000E-15 " "
relative error = 5.595339191976966000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3330000000000735 " "
y[1] (closed_form) = 7.43666434667557900E-2 " "
y[1] (numeric) = 7.43666434667515900E-2 " "
absolute error = 4.191091917959966000000000000000E-15 " "
relative error = 5.63571478096025000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3320000000000736 " "
y[1] (closed_form) = 7.43261001154760200E-2 " "
y[1] (numeric) = 7.43261001154718200E-2 " "
absolute error = 4.2049697057677804000000000000000E-15 " "
relative error = 5.657460433461152000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3310000000000737 " "
y[1] (closed_form) = 7.42855899104153200E-2 " "
y[1] (numeric) = 7.4285589910411110E-2 " "
absolute error = 4.2049697057677804000000000000000E-15 " "
relative error = 5.6605456197342740000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.330000000000074 " "
y[1] (closed_form) = 7.4245112815451900E-2 " "
y[1] (numeric) = 7.42451128154477100E-2 " "
absolute error = 4.191091917959966000000000000000E-15 " "
relative error = 5.644939793380872000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.329000000000074 " "
y[1] (closed_form) = 7.42046687945132600E-2 " "
y[1] (numeric) = 7.42046687945090700E-2 " "
absolute error = 4.191091917959966000000000000000E-15 " "
relative error = 5.648016473957846000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.328000000000074 " "
y[1] (closed_form) = 7.41642578115759400E-2 " "
y[1] (numeric) = 7.41642578115717400E-2 " "
absolute error = 4.2049697057677804000000000000000E-15 " "
relative error = 5.669806224517286000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.327000000000074 " "
y[1] (closed_form) = 7.41238798306655100E-2 " "
y[1] (numeric) = 7.41238798306613100E-2 " "
absolute error = 4.2049697057677804000000000000000E-15 " "
relative error = 5.6728947747661730000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3260000000000742 " "
y[1] (closed_form) = 7.4083534815856500E-2 " "
y[1] (numeric) = 7.40835348158523000E-2 " "
absolute error = 4.191091917959966000000000000000E-15 " "
relative error = 5.65725154499907000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3250000000000743 " "
y[1] (closed_form) = 7.40432227312723800E-2 " "
y[1] (numeric) = 7.40432227312681700E-2 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 5.6978172180419570000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3240000000000745 " "
y[1] (closed_form) = 7.40029435410852800E-2 " "
y[1] (numeric) = 7.40029435410810700E-2 " "
absolute error = 4.2049697057677804000000000000000E-15 " "
relative error = 5.682165471476478000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3230000000000746 " "
y[1] (closed_form) = 7.39626972095161800E-2 " "
y[1] (numeric) = 7.39626972095119400E-2 " "
absolute error = 4.232725281383409300000000000000E-15 " "
relative error = 5.722783837091895000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3220000000000747 " "
y[1] (closed_form) = 7.39224837008345600E-2 " "
y[1] (numeric) = 7.39224837008303300E-2 " "
absolute error = 4.232725281383409300000000000000E-15 " "
relative error = 5.725897006536352000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.321000000000075 " "
y[1] (closed_form) = 7.3882302979358600E-2 " "
y[1] (numeric) = 7.38823029793543400E-2 " "
absolute error = 4.260480856999038000000000000000E-15 " "
relative error = 5.766578307919477000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.320000000000075 " "
y[1] (closed_form) = 7.3842155009454800E-2 " "
y[1] (numeric) = 7.38421550094505600E-2 " "
absolute error = 4.246603069191224000000000000000E-15 " "
relative error = 5.750919740421289000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.319000000000075 " "
y[1] (closed_form) = 7.38020397555381600E-2 " "
y[1] (numeric) = 7.38020397555339200E-2 " "
absolute error = 4.232725281383409300000000000000E-15 " "
relative error = 5.7352415941400630000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.318000000000075 " "
y[1] (closed_form) = 7.37619571820720100E-2 " "
y[1] (numeric) = 7.37619571820677500E-2 " "
absolute error = 4.260480856999038000000000000000E-15 " "
relative error = 5.775986727795986000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.317000000000075 " "
y[1] (closed_form) = 7.37219072535678200E-2 " "
y[1] (numeric) = 7.37219072535635600E-2 " "
absolute error = 4.260480856999038000000000000000E-15 " "
relative error = 5.779124571947166000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3160000000000753 " "
y[1] (closed_form) = 7.36818899345852900E-2 " "
y[1] (numeric) = 7.36818899345810200E-2 " "
absolute error = 4.260480856999038000000000000000E-15 " "
relative error = 5.782263268194517000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3150000000000754 " "
y[1] (closed_form) = 7.36419051897321700E-2 " "
y[1] (numeric) = 7.36419051897279100E-2 " "
absolute error = 4.260480856999038000000000000000E-15 " "
relative error = 5.785402816538041000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3140000000000756 " "
y[1] (closed_form) = 7.36019529836642800E-2 " "
y[1] (numeric) = 7.36019529836599900E-2 " "
absolute error = 4.288236432614667000000000000000E-15 " "
relative error = 5.826253596241432000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3130000000000757 " "
y[1] (closed_form) = 7.35620332810852400E-2 " "
y[1] (numeric) = 7.35620332810809500E-2 " "
absolute error = 4.288236432614667000000000000000E-15 " "
relative error = 5.829415312963199000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3120000000000758 " "
y[1] (closed_form) = 7.35221460467466300E-2 " "
y[1] (numeric) = 7.35221460467423400E-2 " "
absolute error = 4.288236432614667000000000000000E-15 " "
relative error = 5.832577887332251000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.311000000000076 " "
y[1] (closed_form) = 7.34822912454477500E-2 " "
y[1] (numeric) = 7.34822912454434700E-2 " "
absolute error = 4.288236432614667000000000000000E-15 " "
relative error = 5.835741319348592000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.310000000000076 " "
y[1] (closed_form) = 7.34424688420356200E-2 " "
y[1] (numeric) = 7.34424688420313200E-2 " "
absolute error = 4.3021142204224816000000000000000E-15 " "
relative error = 5.857801743669214000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.309000000000076 " "
y[1] (closed_form) = 7.3402678801404810E-2 " "
y[1] (numeric) = 7.3402678801400500E-2 " "
absolute error = 4.3021142204224816000000000000000E-15 " "
relative error = 5.8609771341753080000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.308000000000076 " "
y[1] (closed_form) = 7.3362921088497500E-2 " "
y[1] (numeric) = 7.33629210884931800E-2 " "
absolute error = 4.315992008230296000000000000000E-15 " "
relative error = 5.883070008927160000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3070000000000763 " "
y[1] (closed_form) = 7.33231956683032600E-2 " "
y[1] (numeric) = 7.33231956682989500E-2 " "
absolute error = 4.315992008230296000000000000000E-15 " "
relative error = 5.8862573690252380000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3060000000000764 " "
y[1] (closed_form) = 7.32835025058591300E-2 " "
y[1] (numeric) = 7.3283502505854800E-2 " "
absolute error = 4.3298697960381105000000000000000E-15 " "
relative error = 5.908382716412784000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3050000000000765 " "
y[1] (closed_form) = 7.32438415662493500E-2 " "
y[1] (numeric) = 7.32438415662450300E-2 " "
absolute error = 4.315992008230296000000000000000E-15 " "
relative error = 5.8926346788166000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3040000000000767 " "
y[1] (closed_form) = 7.32042128146054500E-2 " "
y[1] (numeric) = 7.32042128146011400E-2 " "
absolute error = 4.315992008230296000000000000000E-15 " "
relative error = 5.895824628509883000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3030000000000768 " "
y[1] (closed_form) = 7.31646162161061500E-2 " "
y[1] (numeric) = 7.31646162161018200E-2 " "
absolute error = 4.3298697960381105000000000000000E-15 " "
relative error = 5.917983336711539000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.302000000000077 " "
y[1] (closed_form) = 7.31250517359771500E-2 " "
y[1] (numeric) = 7.31250517359728100E-2 " "
absolute error = 4.343747583845925000000000000000E-15 " "
relative error = 5.940163433359765000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.301000000000077 " "
y[1] (closed_form) = 7.30855193394911900E-2 " "
y[1] (numeric) = 7.30855193394868600E-2 " "
absolute error = 4.3298697960381105000000000000000E-15 " "
relative error = 5.9243880801138390000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.300000000000077 " "
y[1] (closed_form) = 7.30460189919679600E-2 " "
y[1] (numeric) = 7.30460189919636300E-2 " "
absolute error = 4.3298697960381105000000000000000E-15 " "
relative error = 5.927591750775927000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.299000000000077 " "
y[1] (closed_form) = 7.300655065877399E-2 " "
y[1] (numeric) = 7.30065506587696500E-2 " "
absolute error = 4.343747583845925000000000000000E-15 " "
relative error = 5.949805249871628000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2980000000000773 " "
y[1] (closed_form) = 7.29671143053225600E-2 " "
y[1] (numeric) = 7.2967114305318200E-2 " "
absolute error = 4.3576253716537394000000000000000E-15 " "
relative error = 5.972040162393916000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2970000000000774 " "
y[1] (closed_form) = 7.29277098970736200E-2 " "
y[1] (numeric) = 7.29277098970692500E-2 " "
absolute error = 4.371503159461554000000000000000E-15 " "
relative error = 5.994296496669465000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2960000000000775 " "
y[1] (closed_form) = 7.28883373995337600E-2 " "
y[1] (numeric) = 7.2888337399529390E-2 " "
absolute error = 4.371503159461554000000000000000E-15 " "
relative error = 5.997534469059678000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2950000000000776 " "
y[1] (closed_form) = 7.28489967782561700E-2 " "
y[1] (numeric) = 7.2848996778251800E-2 " "
absolute error = 4.371503159461554000000000000000E-15 " "
relative error = 6.000773315750523000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2940000000000778 " "
y[1] (closed_form) = 7.28096879988404400E-2 " "
y[1] (numeric) = 7.28096879988360500E-2 " "
absolute error = 4.385380947269368300000000000000E-15 " "
relative error = 6.023073395588797000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.293000000000078 " "
y[1] (closed_form) = 7.27704110269325400E-2 " "
y[1] (numeric) = 7.27704110269281600E-2 " "
absolute error = 4.371503159461554000000000000000E-15 " "
relative error = 6.007253632034109000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.292000000000078 " "
y[1] (closed_form) = 7.27311658282248300E-2 " "
y[1] (numeric) = 7.27311658282204600E-2 " "
absolute error = 4.385380947269368300000000000000E-15 " "
relative error = 6.0295760384574090000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.291000000000078 " "
y[1] (closed_form) = 7.2691952368455890E-2 " "
y[1] (numeric) = 7.26919523684514800E-2 " "
absolute error = 4.413136522884997000000000000000E-15 " "
relative error = 6.0710111354775540000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.290000000000078 " "
y[1] (closed_form) = 7.26527706134104100E-2 " "
y[1] (numeric) = 7.265277061340600E-2 " "
absolute error = 4.413136522884997000000000000000E-15 " "
relative error = 6.074285241463883000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2890000000000783 " "
y[1] (closed_form) = 7.26136205289192300E-2 " "
y[1] (numeric) = 7.26136205289148200E-2 " "
absolute error = 4.413136522884997000000000000000E-15 " "
relative error = 6.077560230077516000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2880000000000784 " "
y[1] (closed_form) = 7.2574502080859190E-2 " "
y[1] (numeric) = 7.25745020808547900E-2 " "
absolute error = 4.413136522884997000000000000000E-15 " "
relative error = 6.080836101318452000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2870000000000785 " "
y[1] (closed_form) = 7.2535415235153100E-2 " "
y[1] (numeric) = 7.25354152351486800E-2 " "
absolute error = 4.413136522884997000000000000000E-15 " "
relative error = 6.084112855186694000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2860000000000786 " "
y[1] (closed_form) = 7.24963599577695800E-2 " "
y[1] (numeric) = 7.24963599577651800E-2 " "
absolute error = 4.399258735077183000000000000000E-15 " "
relative error = 6.068247754287014000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2850000000000787 " "
y[1] (closed_form) = 7.24573362147231200E-2 " "
y[1] (numeric) = 7.24573362147187300E-2 " "
absolute error = 4.399258735077183000000000000000E-15 " "
relative error = 6.071515963601304000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.284000000000079 " "
y[1] (closed_form) = 7.24183439720739300E-2 " "
y[1] (numeric) = 7.2418343972069500E-2 " "
absolute error = 4.427014310692811700000000000000E-15 " "
relative error = 6.113111772343156000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.283000000000079 " "
y[1] (closed_form) = 7.23793831959277500E-2 " "
y[1] (numeric) = 7.23793831959233400E-2 " "
absolute error = 4.413136522884997000000000000000E-15 " "
relative error = 6.0972286969327070000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.282000000000079 " "
y[1] (closed_form) = 7.23404538524360900E-2 " "
y[1] (numeric) = 7.23404538524316400E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.158061843785937000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.281000000000079 " "
y[1] (closed_form) = 7.23015559077957600E-2 " "
y[1] (numeric) = 7.2301555907791300E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.161374856150384000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2800000000000793 " "
y[1] (closed_form) = 7.22626893282491400E-2 " "
y[1] (numeric) = 7.22626893282446700E-2 " "
absolute error = 4.468647674116255000000000000000E-15 " "
relative error = 6.183893397348773000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2790000000000794 " "
y[1] (closed_form) = 7.22238540800838700E-2 " "
y[1] (numeric) = 7.22238540800794300E-2 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 6.148788589399339000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2780000000000795 " "
y[1] (closed_form) = 7.218505012963300E-2 " "
y[1] (numeric) = 7.21850501296285500E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.17131923896759000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2770000000000796 " "
y[1] (closed_form) = 7.21462774432746400E-2 " "
y[1] (numeric) = 7.2146277443270190E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.1746358151479460000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2760000000000797 " "
y[1] (closed_form) = 7.21075359874321400E-2 " "
y[1] (numeric) = 7.2107535987427700E-2 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 6.158707321901339000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.27500000000008 " "
y[1] (closed_form) = 7.20688257285738800E-2 " "
y[1] (numeric) = 7.20688257285694200E-2 " "
absolute error = 4.468647674116255000000000000000E-15 " "
relative error = 6.20052793831567000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.27400000000008 " "
y[1] (closed_form) = 7.2030146633213190E-2 " "
y[1] (numeric) = 7.20301466332087400E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.184590889412879000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.27300000000008 " "
y[1] (closed_form) = 7.1991498667908390E-2 " "
y[1] (numeric) = 7.19914986679039400E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.187911029409144000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.27200000000008 " "
y[1] (closed_form) = 7.19528817992626100E-2 " "
y[1] (numeric) = 7.19528817992581600E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.191232060359386000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2710000000000803 " "
y[1] (closed_form) = 7.19142959939237400E-2 " "
y[1] (numeric) = 7.19142959939192900E-2 " "
absolute error = 4.454769886308440600000000000000E-15 " "
relative error = 6.194553982263606000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2700000000000804 " "
y[1] (closed_form) = 7.18757412185844200E-2 " "
y[1] (numeric) = 7.18757412185799400E-2 " "
absolute error = 4.4825254619240695000000000000000E-15 " "
relative error = 6.236492849920069000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2690000000000805 " "
y[1] (closed_form) = 7.18372174399818400E-2 " "
y[1] (numeric) = 7.18372174399773700E-2 " "
absolute error = 4.468647674116255000000000000000E-15 " "
relative error = 6.220518880550595000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2680000000000806 " "
y[1] (closed_form) = 7.17987246248978400E-2 " "
y[1] (numeric) = 7.17987246248933600E-2 " "
absolute error = 4.468647674116255000000000000000E-15 " "
relative error = 6.2238538323097880000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2670000000000807 " "
y[1] (closed_form) = 7.17602627401586900E-2 " "
y[1] (numeric) = 7.17602627401542100E-2 " "
absolute error = 4.4825254619240695000000000000000E-15 " "
relative error = 6.24652877617677000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.266000000000081 " "
y[1] (closed_form) = 7.17218317526350800E-2 " "
y[1] (numeric) = 7.1721831752630590E-2 " "
absolute error = 4.4825254619240695000000000000000E-15 " "
relative error = 6.249875877939189000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.265000000000081 " "
y[1] (closed_form) = 7.16834316292420800E-2 " "
y[1] (numeric) = 7.16834316292375700E-2 " "
absolute error = 4.5102810375396984000000000000000E-15 " "
relative error = 6.29194352869095000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.264000000000081 " "
y[1] (closed_form) = 7.16450623369389500E-2 " "
y[1] (numeric) = 7.16450623369344500E-2 " "
absolute error = 4.496403249731884000000000000000E-15 " "
relative error = 6.2759429653167000000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.263000000000081 " "
y[1] (closed_form) = 7.16067238427292600E-2 " "
y[1] (numeric) = 7.16067238427247500E-2 " "
absolute error = 4.5102810375396984000000000000000E-15 " "
relative error = 6.298683692673449000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2620000000000813 " "
y[1] (closed_form) = 7.15684161136606200E-2 " "
y[1] (numeric) = 7.15684161136561200E-2 " "
absolute error = 4.496403249731884000000000000000E-15 " "
relative error = 6.282664188894399000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2610000000000814 " "
y[1] (closed_form) = 7.15301391168247600E-2 " "
y[1] (numeric) = 7.15301391168202700E-2 " "
absolute error = 4.496403249731884000000000000000E-15 " "
relative error = 6.286026149604224000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2600000000000815 " "
y[1] (closed_form) = 7.1491892819357400E-2 " "
y[1] (numeric) = 7.14918928193528900E-2 " "
absolute error = 4.5102810375396984000000000000000E-15 " "
relative error = 6.308800704068753000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2590000000000816 " "
y[1] (closed_form) = 7.1453677188438100E-2 " "
y[1] (numeric) = 7.1453677188433600E-2 " "
absolute error = 4.5102810375396984000000000000000E-15 " "
relative error = 6.312174845312937000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2580000000000817 " "
y[1] (closed_form) = 7.14154921912903900E-2 " "
y[1] (numeric) = 7.14154921912858500E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.354414811004794000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.257000000000082 " "
y[1] (closed_form) = 7.13773377951814300E-2 " "
y[1] (numeric) = 7.1377337795176900E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.357811531409739000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.256000000000082 " "
y[1] (closed_form) = 7.13392139674222100E-2 " "
y[1] (numeric) = 7.13392139674176900E-2 " "
absolute error = 4.524158825347513000000000000000E-15 " "
relative error = 6.341755920402371000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.255000000000082 " "
y[1] (closed_form) = 7.13011206753673400E-2 " "
y[1] (numeric) = 7.1301120675362810E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.3646076950416000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.254000000000082 " "
y[1] (closed_form) = 7.12630578864149400E-2 " "
y[1] (numeric) = 7.12630578864104100E-2 " "
absolute error = 4.524158825347513000000000000000E-15 " "
relative error = 6.348533110322740000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2530000000000823 " "
y[1] (closed_form) = 7.12250255680066800E-2 " "
y[1] (numeric) = 7.12250255680021400E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.371407489102752000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2520000000000824 " "
y[1] (closed_form) = 7.11870236876276400E-2 " "
y[1] (numeric) = 7.1187023687623100E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.374808747544310000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2510000000000825 " "
y[1] (closed_form) = 7.11490522128062300E-2 " "
y[1] (numeric) = 7.11490522128017100E-2 " "
absolute error = 4.524158825347513000000000000000E-15 " "
relative error = 6.358705681441533000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2500000000000826 " "
y[1] (closed_form) = 7.11111111111142400E-2 " "
y[1] (numeric) = 7.11111111111097000E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.381613987249398000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2490000000000827 " "
y[1] (closed_form) = 7.10732003501665700E-2 " "
y[1] (numeric) = 7.10732003501620500E-2 " "
absolute error = 4.524158825347513000000000000000E-15 " "
relative error = 6.365491919679553000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.248000000000083 " "
y[1] (closed_form) = 7.10353198976213500E-2 " "
y[1] (numeric) = 7.10353198976168100E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.388422857383775000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.247000000000083 " "
y[1] (closed_form) = 7.09974697211797300E-2 " "
y[1] (numeric) = 7.09974697211752100E-2 " "
absolute error = 4.524158825347513000000000000000E-15 " "
relative error = 6.372281777244634000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.246000000000083 " "
y[1] (closed_form) = 7.09596497885859800E-2 " "
y[1] (numeric) = 7.09596497885814200E-2 " "
absolute error = 4.551914400963142000000000000000E-15 " "
relative error = 6.414792652620064000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.245000000000083 " "
y[1] (closed_form) = 7.09218600676271400E-2 " "
y[1] (numeric) = 7.09218600676225900E-2 " "
absolute error = 4.551914400963142000000000000000E-15 " "
relative error = 6.418210685143747000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2440000000000833 " "
y[1] (closed_form) = 7.08841005261332800E-2 " "
y[1] (numeric) = 7.08841005261287500E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.402051488940402000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2430000000000834 " "
y[1] (closed_form) = 7.08463711319772700E-2 " "
y[1] (numeric) = 7.0846371131972700E-2 " "
absolute error = 4.565792188770956000000000000000E-15 " "
relative error = 6.4446380468316420000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2420000000000835 " "
y[1] (closed_form) = 7.08086718530745800E-2 " "
y[1] (numeric) = 7.08086718530700400E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.4088712503626510000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2410000000000836 " "
y[1] (closed_form) = 7.07710026573835200E-2 " "
y[1] (numeric) = 7.07710026573789700E-2 " "
absolute error = 4.551914400963142000000000000000E-15 " "
relative error = 6.431891919067281000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2400000000000837 " "
y[1] (closed_form) = 7.07333635129049200E-2 " "
y[1] (numeric) = 7.07333635129003600E-2 " "
absolute error = 4.565792188770956000000000000000E-15 " "
relative error = 6.454934364796540000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.239000000000084 " "
y[1] (closed_form) = 7.06957543876821200E-2 " "
y[1] (numeric) = 7.06957543876775600E-2 " "
absolute error = 4.565792188770956000000000000000E-15 " "
relative error = 6.4583682971017140000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.238000000000084 " "
y[1] (closed_form) = 7.065817524980100E-2 " "
y[1] (numeric) = 7.06581752497964300E-2 " "
absolute error = 4.579669976578771000000000000000E-15 " "
relative error = 6.4814438816004780000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.237000000000084 " "
y[1] (closed_form) = 7.06206260673897700E-2 " "
y[1] (numeric) = 7.0620626067385200E-2 " "
absolute error = 4.565792188770956000000000000000E-15 " "
relative error = 6.465238901187377000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.236000000000084 " "
y[1] (closed_form) = 7.05831068086190200E-2 " "
y[1] (numeric) = 7.05831068086144600E-2 " "
absolute error = 4.565792188770956000000000000000E-15 " "
relative error = 6.468675572967864000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2350000000000843 " "
y[1] (closed_form) = 7.05456174417016100E-2 " "
y[1] (numeric) = 7.05456174416970300E-2 " "
absolute error = 4.579669976578771000000000000000E-15 " "
relative error = 6.49178523437459100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2340000000000844 " "
y[1] (closed_form) = 7.05081579348925300E-2 " "
y[1] (numeric) = 7.05081579348879600E-2 " "
absolute error = 4.579669976578771000000000000000E-15 " "
relative error = 6.495234183833951000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2330000000000845 " "
y[1] (closed_form) = 7.047072825648899E-2 " "
y[1] (numeric) = 7.0470728256484390E-2 " "
absolute error = 4.593547764386585000000000000000E-15 " "
relative error = 6.5183770311946620000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2320000000000846 " "
y[1] (closed_form) = 7.04333283748301700E-2 " "
y[1] (numeric) = 7.04333283748255900E-2 " "
absolute error = 4.579669976578771000000000000000E-15 " "
relative error = 6.50213483055466000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2310000000000847 " "
y[1] (closed_form) = 7.03959582582973500E-2 " "
y[1] (numeric) = 7.03959582582927500E-2 " "
absolute error = 4.6074255521943996000000000000E-15 " "
relative error = 6.545014324954284000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.230000000000085 " "
y[1] (closed_form) = 7.03586178753136200E-2 " "
y[1] (numeric) = 7.03586178753090200E-2 " "
absolute error = 4.6074255521943996000000000000E-15 " "
relative error = 6.548487863078083000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.229000000000085 " "
y[1] (closed_form) = 7.03213071943440500E-2 " "
y[1] (numeric) = 7.03213071943394300E-2 " "
absolute error = 4.621303340002214000000000000000E-15 " "
relative error = 6.5716971489601450000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.228000000000085 " "
y[1] (closed_form) = 7.02840261838954200E-2 " "
y[1] (numeric) = 7.0284026183890800E-2 " "
absolute error = 4.621303340002214000000000000000E-15 " "
relative error = 6.5751829980695100000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.227000000000085 " "
y[1] (closed_form) = 7.02467748125162800E-2 " "
y[1] (numeric) = 7.02467748125116700E-2 " "
absolute error = 4.6074255521943996000000000000E-15 " "
relative error = 6.558914006360145000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2260000000000852 " "
y[1] (closed_form) = 7.02095530487968500E-2 " "
y[1] (numeric) = 7.02095530487922300E-2 " "
absolute error = 4.621303340002214000000000000000E-15 " "
relative error = 6.58215746907024000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2250000000000854 " "
y[1] (closed_form) = 7.01723608613689100E-2 " "
y[1] (numeric) = 7.01723608613642900E-2 " "
absolute error = 4.621303340002214000000000000000E-15 " "
relative error = 6.585646090961608000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2240000000000855 " "
y[1] (closed_form) = 7.01351982189057900E-2 " "
y[1] (numeric) = 7.01351982189011700E-2 " "
absolute error = 4.621303340002214000000000000000E-15 " "
relative error = 6.589135637113642000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2230000000000856 " "
y[1] (closed_form) = 7.00980650901222900E-2 " "
y[1] (numeric) = 7.00980650901176800E-2 " "
absolute error = 4.6074255521943996000000000000E-15 " "
relative error = 6.57282843152777000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2220000000000857 " "
y[1] (closed_form) = 7.00609614437746500E-2 " "
y[1] (numeric) = 7.00609614437700100E-2 " "
absolute error = 4.6351811278100286000000000000000E-15 " "
relative error = 6.615925662866983000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.221000000000086 " "
y[1] (closed_form) = 7.00238872486603200E-2 " "
y[1] (numeric) = 7.00238872486556900E-2 " "
absolute error = 4.6351811278100286000000000000000E-15 " "
relative error = 6.619428469245269000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.220000000000086 " "
y[1] (closed_form) = 6.99868424736181500E-2 " "
y[1] (numeric) = 6.9986842473613510E-2 " "
absolute error = 4.649058915617843000000000000000E-15 " "
relative error = 6.642761340991096000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.219000000000086 " "
y[1] (closed_form) = 6.99498270875281200E-2 " "
y[1] (numeric) = 6.99498270875234600E-2 " "
absolute error = 4.649058915617843000000000000000E-15 " "
relative error = 6.6462764944371940000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.218000000000086 " "
y[1] (closed_form) = 6.99128410593113800E-2 " "
y[1] (numeric) = 6.99128410593067200E-2 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 6.6696427047926720000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2170000000000862 " "
y[1] (closed_form) = 6.98758843579300800E-2 " "
y[1] (numeric) = 6.98758843579254600E-2 " "
absolute error = 4.6351811278100286000000000000000E-15 " "
relative error = 6.633448965120669000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2160000000000863 " "
y[1] (closed_form) = 6.98389569523875500E-2 " "
y[1] (numeric) = 6.98389569523828900E-2 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 6.6766986606122960000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2150000000000865 " "
y[1] (closed_form) = 6.98020588117278400E-2 " "
y[1] (numeric) = 6.98020588117231800E-2 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 6.680228037403119000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2140000000000866 " "
y[1] (closed_form) = 6.97651899050360100E-2 " "
y[1] (numeric) = 6.97651899050313400E-2 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 6.683758346781283000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2130000000000867 " "
y[1] (closed_form) = 6.97283502014379500E-2 " "
y[1] (numeric) = 6.97283502014332500E-2 " "
absolute error = 4.690692279041286400000000000000E-15 " "
relative error = 6.727094883917896000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.212000000000087 " "
y[1] (closed_form) = 6.96915396701001700E-2 " "
y[1] (numeric) = 6.96915396700954900E-2 " "
absolute error = 4.676814491233472000000000000000E-15 " "
relative error = 6.710734923309450000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.211000000000087 " "
y[1] (closed_form) = 6.96547582802299900E-2 " "
y[1] (numeric) = 6.96547582802253200E-2 " "
absolute error = 4.676814491233472000000000000000E-15 " "
relative error = 6.714278545649459000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.210000000000087 " "
y[1] (closed_form) = 6.96180060010753200E-2 " "
y[1] (numeric) = 6.96180060010706200E-2 " "
absolute error = 4.690692279041286400000000000000E-15 " "
relative error = 6.737757296537384000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.209000000000087 " "
y[1] (closed_form) = 6.95812828019245500E-2 " "
y[1] (numeric) = 6.95812828019198700E-2 " "
absolute error = 4.676814491233472000000000000000E-15 " "
relative error = 6.721368596418168000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2080000000000872 " "
y[1] (closed_form) = 6.95445886521066600E-2 " "
y[1] (numeric) = 6.95445886521019900E-2 " "
absolute error = 4.676814491233472000000000000000E-15 " "
relative error = 6.724915024846869000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2070000000000873 " "
y[1] (closed_form) = 6.95079235209910100E-2 " "
y[1] (numeric) = 6.95079235209863300E-2 " "
absolute error = 4.690692279041286400000000000000E-15 " "
relative error = 6.748428152402974000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2060000000000874 " "
y[1] (closed_form) = 6.9471287377987300E-2 " "
y[1] (numeric) = 6.94712873779826000E-2 " "
absolute error = 4.690692279041286400000000000000E-15 " "
relative error = 6.751986980635083000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2050000000000876 " "
y[1] (closed_form) = 6.94346801925455600E-2 " "
y[1] (numeric) = 6.94346801925408700E-2 " "
absolute error = 4.690692279041286400000000000000E-15 " "
relative error = 6.755546747005647000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2040000000000877 " "
y[1] (closed_form) = 6.93981019341560800E-2 " "
y[1] (numeric) = 6.93981019341513600E-2 " "
absolute error = 4.718447854656915300000000000000E-15 " "
relative error = 6.7991021701626810000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2030000000000878 " "
y[1] (closed_form) = 6.9361552572349200E-2 " "
y[1] (numeric) = 6.9361552572344500E-2 " "
absolute error = 4.704570066849101000000000000000E-15 " "
relative error = 6.7826769908904340000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.202000000000088 " "
y[1] (closed_form) = 6.93250320766955500E-2 " "
y[1] (numeric) = 6.93250320766908300E-2 " "
absolute error = 4.718447854656915300000000000000E-15 " "
relative error = 6.806268548764335000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.201000000000088 " "
y[1] (closed_form) = 6.92885404168056600E-2 " "
y[1] (numeric) = 6.92885404168009300E-2 " "
absolute error = 4.73232564246473000000000000000E-15 " "
relative error = 6.829882133463044000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.200000000000088 " "
y[1] (closed_form) = 6.92520775623300800E-2 " "
y[1] (numeric) = 6.92520775623253400E-2 " "
absolute error = 4.73232564246473000000000000000E-15 " "
relative error = 6.833478227718752000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.199000000000088 " "
y[1] (closed_form) = 6.92156434829593200E-2 " "
y[1] (numeric) = 6.92156434829545700E-2 " "
absolute error = 4.746203430272544000000000000000E-15 " "
relative error = 6.857125342540584000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1980000000000883 " "
y[1] (closed_form) = 6.91792381484236800E-2 " "
y[1] (numeric) = 6.91792381484189300E-2 " "
absolute error = 4.746203430272544000000000000000E-15 " "
relative error = 6.86073388100862000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1970000000000884 " "
y[1] (closed_form) = 6.9142861528493300E-2 " "
y[1] (numeric) = 6.91428615284885400E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.884414548158037000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1960000000000885 " "
y[1] (closed_form) = 6.91065135929780200E-2 " "
y[1] (numeric) = 6.91065135929732600E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.88803554194063000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1950000000000887 " "
y[1] (closed_form) = 6.90701943117273600E-2 " "
y[1] (numeric) = 6.90701943117226100E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.891657487739468000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1940000000000888 " "
y[1] (closed_form) = 6.90339036546304700E-2 " "
y[1] (numeric) = 6.90339036546257100E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.895280385554547000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.193000000000089 " "
y[1] (closed_form) = 6.89976415916159700E-2 " "
y[1] (numeric) = 6.89976415916112100E-2 " "
absolute error = 4.746203430272544000000000000000E-15 " "
relative error = 6.878790811959092000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.192000000000089 " "
y[1] (closed_form) = 6.89614080926520400E-2 " "
y[1] (numeric) = 6.89614080926472800E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.90252903723344000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.191000000000089 " "
y[1] (closed_form) = 6.89252031277462200E-2 " "
y[1] (numeric) = 6.89252031277414600E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.906154791097252000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.190000000000089 " "
y[1] (closed_form) = 6.88890266669454500E-2 " "
y[1] (numeric) = 6.88890266669406800E-2 " "
absolute error = 4.773959005888173000000000000000E-15 " "
relative error = 6.929926632537006000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1890000000000893 " "
y[1] (closed_form) = 6.88528786803358900E-2 " "
y[1] (numeric) = 6.88528786803311300E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.913409154873605000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1880000000000894 " "
y[1] (closed_form) = 6.88167591380430300E-2 " "
y[1] (numeric) = 6.88167591380382600E-2 " "
absolute error = 4.760081218080358700000000000000E-15 " "
relative error = 6.917037764786149000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1870000000000895 " "
y[1] (closed_form) = 6.87806680102314700E-2 " "
y[1] (numeric) = 6.87806680102266900E-2 " "
absolute error = 4.7878367936959876000000000000000E-15 " "
relative error = 6.961021072060208000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1860000000000896 " "
y[1] (closed_form) = 6.8744605267104900E-2 " "
y[1] (numeric) = 6.8744605267100110E-2 " "
absolute error = 4.7878367936959876000000000000000E-15 " "
relative error = 6.964672755182761000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1850000000000898 " "
y[1] (closed_form) = 6.8708570878906100E-2 " "
y[1] (numeric) = 6.8708570878901300E-2 " "
absolute error = 4.801714581503802000000000000000E-15 " "
relative error = 6.9885234404983890000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.18400000000009 " "
y[1] (closed_form) = 6.86725648159168100E-2 " "
y[1] (numeric) = 6.86725648159120100E-2 " "
absolute error = 4.801714581503802000000000000000E-15 " "
relative error = 6.992187628895533000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.18300000000009 " "
y[1] (closed_form) = 6.86365870484577100E-2 " "
y[1] (numeric) = 6.86365870484529000E-2 " "
absolute error = 4.801714581503802000000000000000E-15 " "
relative error = 6.995852777635596000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.18200000000009 " "
y[1] (closed_form) = 6.86006375468883400E-2 " "
y[1] (numeric) = 6.86006375468835200E-2 " "
absolute error = 4.8155923693116165000000000000000E-15 " "
relative error = 7.019748710090591000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.18100000000009 " "
y[1] (closed_form) = 6.85647162816070400E-2 " "
y[1] (numeric) = 6.85647162816022100E-2 " "
absolute error = 4.829470157119431000000000000000E-15 " "
relative error = 7.043666799821602000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1800000000000903 " "
y[1] (closed_form) = 6.85288232230508700E-2 " "
y[1] (numeric) = 6.85288232230460300E-2 " "
absolute error = 4.8433479449272454000000000000000E-15 " "
relative error = 7.067607055155297000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1790000000000904 " "
y[1] (closed_form) = 6.84929583416955600E-2 " "
y[1] (numeric) = 6.84929583416907400E-2 " "
absolute error = 4.829470157119431000000000000000E-15 " "
relative error = 7.05104623022168000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1780000000000905 " "
y[1] (closed_form) = 6.84571216080555500E-2 " "
y[1] (numeric) = 6.84571216080507200E-2 " "
absolute error = 4.829470157119431000000000000000E-15 " "
relative error = 7.054737394262767000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1770000000000906 " "
y[1] (closed_form) = 6.84213129926837200E-2 " "
y[1] (numeric) = 6.8421312992678900E-2 " "
absolute error = 4.829470157119431000000000000000E-15 " "
relative error = 7.058429524197884000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1760000000000908 " "
y[1] (closed_form) = 6.83855324661715600E-2 " "
y[1] (numeric) = 6.83855324661667200E-2 " "
absolute error = 4.8433479449272454000000000000000E-15 " "
relative error = 7.082416075831707000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.175000000000091 " "
y[1] (closed_form) = 6.83497799991488900E-2 " "
y[1] (numeric) = 6.83497799991440300E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 7.106424823599349000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.174000000000091 " "
y[1] (closed_form) = 6.83140555622839600E-2 " "
y[1] (numeric) = 6.8314055562279100E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 7.1101410870074640000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.173000000000091 " "
y[1] (closed_form) = 6.82783591262833400E-2 " "
y[1] (numeric) = 6.82783591262784700E-2 " "
absolute error = 4.871103520542874300000000000000E-15 " "
relative error = 7.134183631351756000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.172000000000091 " "
y[1] (closed_form) = 6.82426906618918200E-2 " "
y[1] (numeric) = 6.82426906618869800E-2 " "
absolute error = 4.8433479449272454000000000000000E-15 " "
relative error = 7.097240595221539000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1710000000000913 " "
y[1] (closed_form) = 6.8207050139892500E-2 " "
y[1] (numeric) = 6.82070501398876500E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 7.12129570590269000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1700000000000914 " "
y[1] (closed_form) = 6.81714375311064800E-2 " "
y[1] (numeric) = 6.81714375311016100E-2 " "
absolute error = 4.871103520542874300000000000000E-15 " "
relative error = 7.1453730432487950000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1690000000000915 " "
y[1] (closed_form) = 6.81358528063929800E-2 " "
y[1] (numeric) = 6.81358528063881200E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 7.12873697572524100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1680000000000916 " "
y[1] (closed_form) = 6.81002959366492800E-2 " "
y[1] (numeric) = 6.81002959366444200E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 7.132459067804234000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1670000000000917 " "
y[1] (closed_form) = 6.80647668928105600E-2 " "
y[1] (numeric) = 6.80647668928057200E-2 " "
absolute error = 4.8433479449272454000000000000000E-15 " "
relative error = 7.1157930395245820000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.166000000000092 " "
y[1] (closed_form) = 6.80292656458499700E-2 " "
y[1] (numeric) = 6.80292656458451200E-2 " "
absolute error = 4.8433479449272454000000000000000E-15 " "
relative error = 7.119506434393956000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.165000000000092 " "
y[1] (closed_form) = 6.79937921667784200E-2 " "
y[1] (numeric) = 6.79937921667735800E-2 " "
absolute error = 4.8433479449272454000000000000000E-15 " "
relative error = 7.12322079793292000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.164000000000092 " "
y[1] (closed_form) = 6.79583464266446700E-2 " "
y[1] (numeric) = 6.79583464266398000E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 7.1473571505716770000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.163000000000092 " "
y[1] (closed_form) = 6.79229283965351500E-2 " "
y[1] (numeric) = 6.79229283965302700E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.191947437589982000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1620000000000923 " "
y[1] (closed_form) = 6.78875380475739700E-2 " "
y[1] (numeric) = 6.78875380475690800E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.195696660744141000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1610000000000924 " "
y[1] (closed_form) = 6.78521753509228500E-2 " "
y[1] (numeric) = 6.78521753509179600E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.199446860894562000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1600000000000925 " "
y[1] (closed_form) = 6.78168402777810500E-2 " "
y[1] (numeric) = 6.78168402777761700E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.203198038041244000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1590000000000926 " "
y[1] (closed_form) = 6.77815327993853200E-2 " "
y[1] (numeric) = 6.77815327993804400E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.2069501921841870000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1580000000000927 " "
y[1] (closed_form) = 6.77462528870098400E-2 " "
y[1] (numeric) = 6.77462528870049700E-2 " "
absolute error = 4.871103520542874300000000000000E-15 " "
relative error = 7.190218370700316000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.157000000000093 " "
y[1] (closed_form) = 6.77110005119661200E-2 " "
y[1] (numeric) = 6.77110005119612700E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 7.1734661960528460000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.156000000000093 " "
y[1] (closed_form) = 6.7675775645603110E-2 " "
y[1] (numeric) = 6.76757756455982200E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.218212516590589000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.155000000000093 " "
y[1] (closed_form) = 6.76405782593068200E-2 " "
y[1] (numeric) = 6.76405782593019300E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.221968578718580000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.154000000000093 " "
y[1] (closed_form) = 6.76054083245005700E-2 " "
y[1] (numeric) = 6.7605408324495700E-2 " "
absolute error = 4.871103520542874300000000000000E-15 " "
relative error = 7.205197988246688000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1530000000000933 " "
y[1] (closed_form) = 6.75702658126448500E-2 " "
y[1] (numeric) = 6.75702658126399600E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.229483633963346000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1520000000000934 " "
y[1] (closed_form) = 6.75351506952371200E-2 " "
y[1] (numeric) = 6.75351506952322400E-2 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 7.2332426270801220000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1510000000000935 " "
y[1] (closed_form) = 6.75000629438119900E-2 " "
y[1] (numeric) = 6.75000629438070700E-2 " "
absolute error = 4.912736883966317700000000000000E-15 " "
relative error = 7.278121930131755000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1500000000000936 " "
y[1] (closed_form) = 6.74650025299408700E-2 " "
y[1] (numeric) = 6.74650025299359700E-2 " "
absolute error = 4.898859096158503000000000000000E-15 " "
relative error = 7.26133389528059000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1490000000000937 " "
y[1] (closed_form) = 6.74299694252322600E-2 " "
y[1] (numeric) = 6.74299694252273300E-2 " "
absolute error = 4.926614671774132000000000000000E-15 " "
relative error = 7.306268583195583000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.148000000000094 " "
y[1] (closed_form) = 6.73949636013313400E-2 " "
y[1] (numeric) = 6.73949636013264200E-2 " "
absolute error = 4.912736883966317700000000000000E-15 " "
relative error = 7.289471826154782000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.147000000000094 " "
y[1] (closed_form) = 6.7359985029920200E-2 " "
y[1] (numeric) = 6.73599850299152900E-2 " "
absolute error = 4.912736883966317700000000000000E-15 " "
relative error = 7.293257089923878000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.146000000000094 " "
y[1] (closed_form) = 6.73250336827176400E-2 " "
y[1] (numeric) = 6.73250336827127100E-2 " "
absolute error = 4.926614671774132000000000000000E-15 " "
relative error = 7.31765645300938900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.145000000000094 " "
y[1] (closed_form) = 6.72901095314790800E-2 " "
y[1] (numeric) = 6.72901095314741400E-2 " "
absolute error = 4.9404924595819466000000000000000E-15 " "
relative error = 7.342078195415521000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1440000000000943 " "
y[1] (closed_form) = 6.72552125479966100E-2 " "
y[1] (numeric) = 6.72552125479916700E-2 " "
absolute error = 4.9404924595819466000000000000000E-15 " "
relative error = 7.345887809151104000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1430000000000944 " "
y[1] (closed_form) = 6.72203427040988700E-2 " "
y[1] (numeric) = 6.72203427040939400E-2 " "
absolute error = 4.926614671774132000000000000000E-15 " "
relative error = 7.329053190729603000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1420000000000945 " "
y[1] (closed_form) = 6.718549997165101E-2 " "
y[1] (numeric) = 6.71854999716460800E-2 " "
absolute error = 4.926614671774132000000000000000E-15 " "
relative error = 7.332854073948877000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1410000000000946 " "
y[1] (closed_form) = 6.71506843225546100E-2 " "
y[1] (numeric) = 6.71506843225496800E-2 " "
absolute error = 4.926614671774132000000000000000E-15 " "
relative error = 7.336655942491085000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1400000000000947 " "
y[1] (closed_form) = 6.7115895728747700E-2 " "
y[1] (numeric) = 6.71158957287427500E-2 " "
absolute error = 4.954370247389761000000000000000E-15 " "
relative error = 7.381813493800486000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.139000000000095 " "
y[1] (closed_form) = 6.70811341622045300E-2 " "
y[1] (numeric) = 6.70811341621995800E-2 " "
absolute error = 4.9404924595819466000000000000000E-15 " "
relative error = 7.3649506993064010000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.138000000000095 " "
y[1] (closed_form) = 6.70463995949357700E-2 " "
y[1] (numeric) = 6.70463995949308200E-2 " "
absolute error = 4.954370247389761000000000000000E-15 " "
relative error = 7.389465023210553000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.137000000000095 " "
y[1] (closed_form) = 6.70116919989882100E-2 " "
y[1] (numeric) = 6.70116919989832600E-2 " "
absolute error = 4.954370247389761000000000000000E-15 " "
relative error = 7.393292274226662000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.136000000000095 " "
y[1] (closed_form) = 6.69770113464448500E-2 " "
y[1] (numeric) = 6.69770113464398700E-2 " "
absolute error = 4.9682480351975755000000000000000E-15 " "
relative error = 7.417840741652159000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1350000000000953 " "
y[1] (closed_form) = 6.69423576094247700E-2 " "
y[1] (numeric) = 6.6942357609419800E-2 " "
absolute error = 4.9682480351975755000000000000000E-15 " "
relative error = 7.421680700558565000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1340000000000954 " "
y[1] (closed_form) = 6.69077307600831500E-2 " "
y[1] (numeric) = 6.69077307600781800E-2 " "
absolute error = 4.9682480351975755000000000000000E-15 " "
relative error = 7.425521653114576000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1330000000000955 " "
y[1] (closed_form) = 6.68731307706111300E-2 " "
y[1] (numeric) = 6.68731307706061700E-2 " "
absolute error = 4.9682480351975755000000000000000E-15 " "
relative error = 7.429363599320193000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1320000000000956 " "
y[1] (closed_form) = 6.68385576132358500E-2 " "
y[1] (numeric) = 6.68385576132308600E-2 " "
absolute error = 4.98212582300539000000000000000E-15 " "
relative error = 7.45396968593289100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1310000000000957 " "
y[1] (closed_form) = 6.68040112602202200E-2 " "
y[1] (numeric) = 6.68040112602152500E-2 " "
absolute error = 4.9682480351975755000000000000000E-15 " "
relative error = 7.437050472680251000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.130000000000096 " "
y[1] (closed_form) = 6.67694916838631400E-2 " "
y[1] (numeric) = 6.67694916838581400E-2 " "
absolute error = 4.9960036108132044000000000000000E-15 " "
relative error = 7.482464647878455000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.129000000000096 " "
y[1] (closed_form) = 6.67349988564991200E-2 " "
y[1] (numeric) = 6.67349988564941200E-2 " "
absolute error = 4.9960036108132044000000000000000E-15 " "
relative error = 7.486332054273587000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.128000000000096 " "
y[1] (closed_form) = 6.6700532750498500E-2 " "
y[1] (numeric) = 6.67005327504935000E-2 " "
absolute error = 4.9960036108132044000000000000000E-15 " "
relative error = 7.490200459869438000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.127000000000096 " "
y[1] (closed_form) = 6.66660933382672700E-2 " "
y[1] (numeric) = 6.66660933382622800E-2 " "
absolute error = 4.9960036108132044000000000000000E-15 " "
relative error = 7.494069864666014000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1260000000000963 " "
y[1] (closed_form) = 6.663168059224700E-2 " "
y[1] (numeric) = 6.66316805922420200E-2 " "
absolute error = 4.98212582300539000000000000000E-15 " "
relative error = 7.477112656805914000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1250000000000964 " "
y[1] (closed_form) = 6.65972944849148700E-2 " "
y[1] (numeric) = 6.65972944849098600E-2 " "
absolute error = 5.009881398621019000000000000000E-15 " "
relative error = 7.522650037616498000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1240000000000965 " "
y[1] (closed_form) = 6.65629349887834600E-2 " "
y[1] (numeric) = 6.65629349887784700E-2 " "
absolute error = 4.9960036108132044000000000000000E-15 " "
relative error = 7.50568407426007000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1230000000000966 " "
y[1] (closed_form) = 6.65286020764009200E-2 " "
y[1] (numeric) = 6.6528602076395890E-2 " "
absolute error = 5.023759186428833000000000000000E-15 " "
relative error = 7.551277239614306000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1220000000000967 " "
y[1] (closed_form) = 6.64942957203506500E-2 " "
y[1] (numeric) = 6.64942957203456400E-2 " "
absolute error = 5.009881398621019000000000000000E-15 " "
relative error = 7.534302520761551000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.121000000000097 " "
y[1] (closed_form) = 6.64600158932515100E-2 " "
y[1] (numeric) = 6.6460015893246500E-2 " "
absolute error = 5.009881398621019000000000000000E-15 " "
relative error = 7.538188685762461000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.120000000000097 " "
y[1] (closed_form) = 6.64257625677575700E-2 " "
y[1] (numeric) = 6.64257625677525800E-2 " "
absolute error = 4.9960036108132044000000000000000E-15 " "
relative error = 7.521183675862257000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.119000000000097 " "
y[1] (closed_form) = 6.6391535716558200E-2 " "
y[1] (numeric) = 6.63915357165531800E-2 " "
absolute error = 5.023759186428833000000000000000E-15 " "
relative error = 7.566866969121633000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.118000000000097 " "
y[1] (closed_form) = 6.63573353123778400E-2 " "
y[1] (numeric) = 6.6357335312372800E-2 " "
absolute error = 5.037636974236648000000000000000E-15 " "
relative error = 7.591680634133243000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1170000000000972 " "
y[1] (closed_form) = 6.63231613279760700E-2 " "
y[1] (numeric) = 6.63231613279710300E-2 " "
absolute error = 5.037636974236648000000000000000E-15 " "
relative error = 7.595592359243739000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1160000000000974 " "
y[1] (closed_form) = 6.6289013736147600E-2 " "
y[1] (numeric) = 6.62890137361425500E-2 " "
absolute error = 5.037636974236648000000000000000E-15 " "
relative error = 7.599505091881628000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1150000000000975 " "
y[1] (closed_form) = 6.62548925097220700E-2 " "
y[1] (numeric) = 6.62548925097170400E-2 " "
absolute error = 5.037636974236648000000000000000E-15 " "
relative error = 7.603418832046913000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1140000000000976 " "
y[1] (closed_form) = 6.62207976215641800E-2 " "
y[1] (numeric) = 6.62207976215591400E-2 " "
absolute error = 5.037636974236648000000000000000E-15 " "
relative error = 7.607333579739591000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1130000000000977 " "
y[1] (closed_form) = 6.6186729044573400E-2 " "
y[1] (numeric) = 6.61867290445683500E-2 " "
absolute error = 5.051514762044462000000000000000E-15 " "
relative error = 7.632216963981592000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.112000000000098 " "
y[1] (closed_form) = 6.61526867516841500E-2 " "
y[1] (numeric) = 6.61526867516790800E-2 " "
absolute error = 5.065392549852277000000000000000E-15 " "
relative error = 7.657122935711028000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.111000000000098 " "
y[1] (closed_form) = 6.61186707158655400E-2 " "
y[1] (numeric) = 6.61186707158604800E-2 " "
absolute error = 5.051514762044462000000000000000E-15 " "
relative error = 7.640073079739523000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.110000000000098 " "
y[1] (closed_form) = 6.60846809101215500E-2 " "
y[1] (numeric) = 6.60846809101164900E-2 " "
absolute error = 5.065392549852277000000000000000E-15 " "
relative error = 7.665002660361578000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.109000000000098 " "
y[1] (closed_form) = 6.60507173074907500E-2 " "
y[1] (numeric) = 6.60507173074856800E-2 " "
absolute error = 5.065392549852277000000000000000E-15 " "
relative error = 7.668944042304616000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1080000000000982 " "
y[1] (closed_form) = 6.60167798810463800E-2 " "
y[1] (numeric) = 6.60167798810413100E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.693908044003771000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1070000000000983 " "
y[1] (closed_form) = 6.59828686038962400E-2 " "
y[1] (numeric) = 6.59828686038911500E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.69786225596163900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1060000000000985 " "
y[1] (closed_form) = 6.59489834491826400E-2 " "
y[1] (numeric) = 6.59489834491775700E-2 " "
absolute error = 5.065392549852277000000000000000E-15 " "
relative error = 7.680774266604796000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1050000000000986 " "
y[1] (closed_form) = 6.59151243900824500E-2 " "
y[1] (numeric) = 6.59151243900773600E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.70577372743957900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1040000000000987 " "
y[1] (closed_form) = 6.58812913998068600E-2 " "
y[1] (numeric) = 6.58812913998017700E-2 " "
absolute error = 5.093148125467906000000000000000E-15 " "
relative error = 7.730795825721833000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.103000000000099 " "
y[1] (closed_form) = 6.58474844516014500E-2 " "
y[1] (numeric) = 6.58474844515963700E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.713689262333788000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.102000000000099 " "
y[1] (closed_form) = 6.58137035187461700E-2 " "
y[1] (numeric) = 6.58137035187410700E-2 " "
absolute error = 5.093148125467906000000000000000E-15 " "
relative error = 7.73873502501981100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.101000000000099 " "
y[1] (closed_form) = 6.57799485745551600E-2 " "
y[1] (numeric) = 6.57799485745500600E-2 " "
absolute error = 5.093148125467906000000000000000E-15 " "
relative error = 7.742706152613237000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.100000000000099 " "
y[1] (closed_form) = 6.57462195923767900E-2 " "
y[1] (numeric) = 6.5746219592371700E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.725570183580606000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0990000000000992 " "
y[1] (closed_form) = 6.5712516545593600E-2 " "
y[1] (numeric) = 6.57125165455885200E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.729532522371014000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0980000000000993 " "
y[1] (closed_form) = 6.56788394076222200E-2 " "
y[1] (numeric) = 6.56788394076171600E-2 " "
absolute error = 5.065392549852277000000000000000E-15 " "
relative error = 7.712366106859712000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0970000000000995 " "
y[1] (closed_form) = 6.56451881519133900E-2 " "
y[1] (numeric) = 6.56451881519083200E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.737460247514034000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0960000000000996 " "
y[1] (closed_form) = 6.56115627519517500E-2 " "
y[1] (numeric) = 6.56115627519466600E-2 " "
absolute error = 5.093148125467906000000000000000E-15 " "
relative error = 7.762577070024749000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0950000000000997 " "
y[1] (closed_form) = 6.55779631812559300E-2 " "
y[1] (numeric) = 6.55779631812508200E-2 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 7.78771658271853000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0940000000001 " "
y[1] (closed_form) = 6.55443894133784300E-2 " "
y[1] (numeric) = 6.55443894133733500E-2 " "
absolute error = 5.093148125467906000000000000000E-15 " "
relative error = 7.77053256739673000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0930000000001 " "
y[1] (closed_form) = 6.55108414219056600E-2 " "
y[1] (numeric) = 6.55108414219005800E-2 " "
absolute error = 5.079270337660091000000000000000E-15 " "
relative error = 7.753327888048882000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0920000000001 " "
y[1] (closed_form) = 6.5477319180457790E-2 " "
y[1] (numeric) = 6.5477319180452700E-2 " "
absolute error = 5.093148125467906000000000000000E-15 " "
relative error = 7.77849213928721000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0910000000001 " "
y[1] (closed_form) = 6.54438226626886700E-2 " "
y[1] (numeric) = 6.54438226626835700E-2 " "
absolute error = 5.093148125467906000000000000000E-15 " "
relative error = 7.782473453176888000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0900000000001002 " "
y[1] (closed_form) = 6.54103518422859200E-2 " "
y[1] (numeric) = 6.5410351842280810E-2 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 7.807672286474654000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0890000000001003 " "
y[1] (closed_form) = 6.53769066929707000E-2 " "
y[1] (numeric) = 6.5376906692965600E-2 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 7.811666491441426000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0880000000001004 " "
y[1] (closed_form) = 6.53434871884978700E-2 " "
y[1] (numeric) = 6.53434871884927700E-2 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 7.815661717813381000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0870000000001006 " "
y[1] (closed_form) = 6.53100933026557500E-2 " "
y[1] (numeric) = 6.53100933026506300E-2 " "
absolute error = 5.1209037010835350000000000000000E-15 " "
relative error = 7.84090703614919000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0860000000001007 " "
y[1] (closed_form) = 6.52767250092661200E-2 " "
y[1] (numeric) = 6.527672500926100E-2 " "
absolute error = 5.1209037010835350000000000000000E-15 " "
relative error = 7.844915167476026000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0850000000001008 " "
y[1] (closed_form) = 6.52433822821842400E-2 " "
y[1] (numeric) = 6.52433822821791300E-2 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 7.827653525360343000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.084000000000101 " "
y[1] (closed_form) = 6.52100650952987400E-2 " "
y[1] (numeric) = 6.52100650952936100E-2 " "
absolute error = 5.1209037010835350000000000000000E-15 " "
relative error = 7.852934502671922000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.083000000000101 " "
y[1] (closed_form) = 6.51767734225315300E-2 " "
y[1] (numeric) = 6.51767734225264100E-2 " "
absolute error = 5.1209037010835350000000000000000E-15 " "
relative error = 7.856945706540981000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.082000000000101 " "
y[1] (closed_form) = 6.51435072378378800E-2 " "
y[1] (numeric) = 6.51435072378327400E-2 " "
absolute error = 5.134781488891349000000000000000E-15 " "
relative error = 7.88226134362761000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.081000000000101 " "
y[1] (closed_form) = 6.5110266515206190E-2 " "
y[1] (numeric) = 6.51102665152010400E-2 " "
absolute error = 5.1486592766991630000000000000000E-15 " "
relative error = 7.907599756939588000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0800000000001013 " "
y[1] (closed_form) = 6.5077051228658100E-2 " "
y[1] (numeric) = 6.50770512286529500E-2 " "
absolute error = 5.1486592766991630000000000000000E-15 " "
relative error = 7.911635790946592000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0790000000001014 " "
y[1] (closed_form) = 6.50438613522483200E-2 " "
y[1] (numeric) = 6.50438613522431800E-2 " "
absolute error = 5.134781488891349000000000000000E-15 " "
relative error = 7.894336809255035000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0780000000001015 " "
y[1] (closed_form) = 6.50106968600647200E-2 " "
y[1] (numeric) = 6.50106968600595700E-2 " "
absolute error = 5.1486592766991630000000000000000E-15 " "
relative error = 7.919710948156168000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0770000000001017 " "
y[1] (closed_form) = 6.4977557726228100E-2 " "
y[1] (numeric) = 6.49775577262229500E-2 " "
absolute error = 5.1486592766991630000000000000000E-15 " "
relative error = 7.923750071358737000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0760000000001018 " "
y[1] (closed_form) = 6.49444439248922500E-2 " "
y[1] (numeric) = 6.49444439248871200E-2 " "
absolute error = 5.134781488891349000000000000000E-15 " "
relative error = 7.90642151748914100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.075000000000102 " "
y[1] (closed_form) = 6.49113554302439400E-2 " "
y[1] (numeric) = 6.49113554302387900E-2 " "
absolute error = 5.1486592766991630000000000000000E-15 " "
relative error = 7.931831406959443000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.074000000000102 " "
y[1] (closed_form) = 6.48782922165027600E-2 " "
y[1] (numeric) = 6.48782922164975900E-2 " "
absolute error = 5.176414852314792000000000000000E-15 " "
relative error = 7.978654609219343000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.073000000000102 " "
y[1] (closed_form) = 6.48452542579210900E-2 " "
y[1] (numeric) = 6.48452542579159300E-2 " "
absolute error = 5.162537064506978000000000000000E-15 " "
relative error = 7.961318254645218000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.072000000000102 " "
y[1] (closed_form) = 6.48122415287841800E-2 " "
y[1] (numeric) = 6.48122415287789800E-2 " "
absolute error = 5.190292640122607000000000000000E-15 " "
relative error = 8.008198015829329000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0710000000001023 " "
y[1] (closed_form) = 6.47792540034098700E-2 " "
y[1] (numeric) = 6.47792540034046800E-2 " "
absolute error = 5.176414852314792000000000000000E-15 " "
relative error = 7.990852830818823000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0700000000001024 " "
y[1] (closed_form) = 6.47462916561487600E-2 " "
y[1] (numeric) = 6.4746291656143600E-2 " "
absolute error = 5.162537064506978000000000000000E-15 " "
relative error = 7.973486870759967000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0690000000001025 " "
y[1] (closed_form) = 6.47133544613840900E-2 " "
y[1] (numeric) = 6.47133544613789200E-2 " "
absolute error = 5.162537064506978000000000000000E-15 " "
relative error = 7.977545141146377000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0680000000001026 " "
y[1] (closed_form) = 6.4680442393531600E-2 " "
y[1] (numeric) = 6.46804423935264300E-2 " "
absolute error = 5.176414852314792000000000000000E-15 " "
relative error = 8.003060369965037000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0670000000001028 " "
y[1] (closed_form) = 6.46475554270396000E-2 " "
y[1] (numeric) = 6.4647555427034400E-2 " "
absolute error = 5.204170427930421000000000000000E-15 " "
relative error = 8.050065301856278000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.066000000000103 " "
y[1] (closed_form) = 6.46146935363888200E-2 " "
y[1] (numeric) = 6.46146935363836200E-2 " "
absolute error = 5.204170427930421000000000000000E-15 " "
relative error = 8.054159422731932000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.065000000000103 " "
y[1] (closed_form) = 6.45818566960924900E-2 " "
y[1] (numeric) = 6.45818566960872700E-2 " "
absolute error = 5.218048215738236000000000000000E-15 " "
relative error = 8.079743263333513000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.064000000000103 " "
y[1] (closed_form) = 6.45490448806960700E-2 " "
y[1] (numeric) = 6.45490448806908900E-2 " "
absolute error = 5.190292640122607000000000000000E-15 " "
relative error = 8.04085118488687000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.063000000000103 " "
y[1] (closed_form) = 6.45162580647775700E-2 " "
y[1] (numeric) = 6.45162580647723600E-2 " "
absolute error = 5.204170427930421000000000000000E-15 " "
relative error = 8.066448030363405000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0620000000001033 " "
y[1] (closed_form) = 6.44834962229470700E-2 " "
y[1] (numeric) = 6.44834962229418600E-2 " "
absolute error = 5.204170427930421000000000000000E-15 " "
relative error = 8.070546314575399000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0610000000001034 " "
y[1] (closed_form) = 6.44507593298469600E-2 " "
y[1] (numeric) = 6.44507593298417400E-2 " "
absolute error = 5.218048215738236000000000000000E-15 " "
relative error = 8.096178027993802000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0600000000001035 " "
y[1] (closed_form) = 6.44180473601517900E-2 " "
y[1] (numeric) = 6.44180473601465800E-2 " "
absolute error = 5.204170427930421000000000000000E-15 " "
relative error = 8.078746005501647000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0590000000001036 " "
y[1] (closed_form) = 6.43853602885682700E-2 " "
y[1] (numeric) = 6.43853602885630500E-2 " "
absolute error = 5.218048215738236000000000000000E-15 " "
relative error = 8.104401671981806000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0580000000001037 " "
y[1] (closed_form) = 6.43526980898351400E-2 " "
y[1] (numeric) = 6.4352698089829900E-2 " "
absolute error = 5.245803791353865000000000000000E-15 " "
relative error = 8.151645458642345000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.057000000000104 " "
y[1] (closed_form) = 6.43200607387231500E-2 " "
y[1] (numeric) = 6.43200607387179200E-2 " "
absolute error = 5.23192600354605000000000000000E-15 " "
relative error = 8.134205632670104000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.056000000000104 " "
y[1] (closed_form) = 6.42874482100351100E-2 " "
y[1] (numeric) = 6.42874482100298700E-2 " "
absolute error = 5.23192600354605000000000000000E-15 " "
relative error = 8.138332052709101000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.055000000000104 " "
y[1] (closed_form) = 6.42548604786057200E-2 " "
y[1] (numeric) = 6.42548604786005000E-2 " "
absolute error = 5.23192600354605000000000000000E-15 " "
relative error = 8.142459519133297000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.054000000000104 " "
y[1] (closed_form) = 6.42222975193015400E-2 " "
y[1] (numeric) = 6.42222975192963100E-2 " "
absolute error = 5.23192600354605000000000000000E-15 " "
relative error = 8.146588031942696000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0530000000001043 " "
y[1] (closed_form) = 6.41897593070210200E-2 " "
y[1] (numeric) = 6.41897593070157800E-2 " "
absolute error = 5.23192600354605000000000000000E-15 " "
relative error = 8.150717591137294000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0520000000001044 " "
y[1] (closed_form) = 6.41572458166943300E-2 " "
y[1] (numeric) = 6.41572458166890900E-2 " "
absolute error = 5.23192600354605000000000000000E-15 " "
relative error = 8.154848196717094000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0510000000001045 " "
y[1] (closed_form) = 6.41247570232834500E-2 " "
y[1] (numeric) = 6.41247570232781900E-2 " "
absolute error = 5.259681579161679000000000000000E-15 " "
relative error = 8.202263561407195000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0500000000001046 " "
y[1] (closed_form) = 6.40922929017819300E-2 " "
y[1] (numeric) = 6.4092292901776700E-2 " "
absolute error = 5.23192600354605000000000000000E-15 " "
relative error = 8.163112547032295000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0490000000001047 " "
y[1] (closed_form) = 6.40598534272151600E-2 " "
y[1] (numeric) = 6.4059853427209900E-2 " "
absolute error = 5.259681579161679000000000000000E-15 " "
relative error = 8.21057385830226900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.048000000000105 " "
y[1] (closed_form) = 6.40274385746399300E-2 " "
y[1] (numeric) = 6.40274385746346700E-2 " "
absolute error = 5.259681579161679000000000000000E-15 " "
relative error = 8.214730584654282000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.047000000000105 " "
y[1] (closed_form) = 6.39950483191446700E-2 " "
y[1] (numeric) = 6.3995048319139390E-2 " "
absolute error = 5.2735593669694940000000000000000E-15 " "
relative error = 8.240574084216862000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.046000000000105 " "
y[1] (closed_form) = 6.39626826358492700E-2 " "
y[1] (numeric) = 6.396268263584399E-2 " "
absolute error = 5.2735593669694940000000000000000E-15 " "
relative error = 8.244743887608325000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.045000000000105 " "
y[1] (closed_form) = 6.39303414999051200E-2 " "
y[1] (numeric) = 6.39303414998998300E-2 " "
absolute error = 5.287437154777308000000000000000E-15 " "
relative error = 8.27062241609511000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0440000000001053 " "
y[1] (closed_form) = 6.38980248864949400E-2 " "
y[1] (numeric) = 6.38980248864896700E-2 " "
absolute error = 5.2735593669694940000000000000000E-15 " "
relative error = 8.25308665852687000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0430000000001054 " "
y[1] (closed_form) = 6.38657327708329200E-2 " "
y[1] (numeric) = 6.38657327708276200E-2 " "
absolute error = 5.3013149425851220000000000000000E-15 " "
relative error = 8.300718887243708000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0420000000001055 " "
y[1] (closed_form) = 6.3833465128164400E-2 " "
y[1] (numeric) = 6.38334651281591200E-2 " "
absolute error = 5.287437154777308000000000000000E-15 " "
relative error = 8.283174263156837000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0410000000001056 " "
y[1] (closed_form) = 6.38012219337661300E-2 " "
y[1] (numeric) = 6.38012219337608200E-2 " "
absolute error = 5.3013149425851220000000000000000E-15 " "
relative error = 8.309111929060810000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0400000000001057 " "
y[1] (closed_form) = 6.37690031629459600E-2 " "
y[1] (numeric) = 6.37690031629406500E-2 " "
absolute error = 5.3013149425851220000000000000000E-15 " "
relative error = 8.313310040363843000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.039000000000106 " "
y[1] (closed_form) = 6.37368087910429800E-2 " "
y[1] (numeric) = 6.37368087910376700E-2 " "
absolute error = 5.3013149425851220000000000000000E-15 " "
relative error = 8.317509211929864000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.038000000000106 " "
y[1] (closed_form) = 6.37046387934273600E-2 " "
y[1] (numeric) = 6.37046387934220400E-2 " "
absolute error = 5.315192730392937000000000000000E-15 " "
relative error = 8.343494023454575000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.037000000000106 " "
y[1] (closed_form) = 6.36724931455003400E-2 " "
y[1] (numeric) = 6.36724931454950300E-2 " "
absolute error = 5.315192730392937000000000000000E-15 " "
relative error = 8.347706313693413000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.036000000000106 " "
y[1] (closed_form) = 6.3640371822694210E-2 " "
y[1] (numeric) = 6.36403718226888900E-2 " "
absolute error = 5.315192730392937000000000000000E-15 " "
relative error = 8.351919666970793000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0350000000001063 " "
y[1] (closed_form) = 6.36082748004722100E-2 " "
y[1] (numeric) = 6.36082748004668800E-2 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 8.37795166574961000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0340000000001064 " "
y[1] (closed_form) = 6.3576202054328500E-2 " "
y[1] (numeric) = 6.35762020543231800E-2 " "
absolute error = 5.315192730392937000000000000000E-15 " "
relative error = 8.360349562641197000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0330000000001065 " "
y[1] (closed_form) = 6.35441535597882100E-2 " "
y[1] (numeric) = 6.35441535597828700E-2 " "
absolute error = 5.342948306008566000000000000000E-15 " "
relative error = 8.40824530140515100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0320000000001066 " "
y[1] (closed_form) = 6.35121292924071500E-2 " "
y[1] (numeric) = 6.35121292924018200E-2 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 8.390634320675876000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0310000000001067 " "
y[1] (closed_form) = 6.34801292277720800E-2 " "
y[1] (numeric) = 6.34801292277667500E-2 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 8.394864003946173000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.030000000000107 " "
y[1] (closed_form) = 6.3448153341500400E-2 " "
y[1] (numeric) = 6.34481533414950600E-2 " "
absolute error = 5.342948306008566000000000000000E-15 " "
relative error = 8.420967395616589000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.029000000000107 " "
y[1] (closed_form) = 6.34162016092402400E-2 " "
y[1] (numeric) = 6.34162016092349100E-2 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 8.403326567929075000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.028000000000107 " "
y[1] (closed_form) = 6.33842740066704200E-2 " "
y[1] (numeric) = 6.33842740066650800E-2 " "
absolute error = 5.342948306008566000000000000000E-15 " "
relative error = 8.42945413470585000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.027000000000107 " "
y[1] (closed_form) = 6.3352370509500290E-2 " "
y[1] (numeric) = 6.33523705094949300E-2 " "
absolute error = 5.370703881624195000000000000000E-15 " "
relative error = 8.477510531068141000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0260000000001073 " "
y[1] (closed_form) = 6.33204910934697800E-2 " "
y[1] (numeric) = 6.33204910934644000E-2 " "
absolute error = 5.370703881624195000000000000000E-15 " "
relative error = 8.481778629442869000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0250000000001074 " "
y[1] (closed_form) = 6.32886357343493500E-2 " "
y[1] (numeric) = 6.328863573434400E-2 " "
absolute error = 5.35682609381638000000000000000E-15 " "
relative error = 8.46412002986029000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0240000000001075 " "
y[1] (closed_form) = 6.32568044079399700E-2 " "
y[1] (numeric) = 6.3256804407934600E-2 " "
absolute error = 5.370703881624195000000000000000E-15 " "
relative error = 8.490318048614649000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0230000000001076 " "
y[1] (closed_form) = 6.32249970900729200E-2 " "
y[1] (numeric) = 6.32249970900675600E-2 " "
absolute error = 5.370703881624195000000000000000E-15 " "
relative error = 8.494589369411705000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0220000000001077 " "
y[1] (closed_form) = 6.31932137566099700E-2 " "
y[1] (numeric) = 6.31932137566045800E-2 " "
absolute error = 5.384581669432009000000000000000E-15 " "
relative error = 8.520822647461549000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.021000000000108 " "
y[1] (closed_form) = 6.3161454383443100E-2 " "
y[1] (numeric) = 6.31614543834377200E-2 " "
absolute error = 5.384581669432009000000000000000E-15 " "
relative error = 8.525107159095915000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.020000000000108 " "
y[1] (closed_form) = 6.31297189464946700E-2 " "
y[1] (numeric) = 6.31297189464892900E-2 " "
absolute error = 5.384581669432009000000000000000E-15 " "
relative error = 8.529392747646618000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.019000000000108 " "
y[1] (closed_form) = 6.30980074217172500E-2 " "
y[1] (numeric) = 6.30980074217118800E-2 " "
absolute error = 5.384581669432009000000000000000E-15 " "
relative error = 8.533679413113651000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.018000000000108 " "
y[1] (closed_form) = 6.3066319785093590E-2 " "
y[1] (numeric) = 6.3066319785088200E-2 " "
absolute error = 5.398459457239824000000000000000E-15 " "
relative error = 8.559972225485413000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0170000000001083 " "
y[1] (closed_form) = 6.30346560126365700E-2 " "
y[1] (numeric) = 6.30346560126311900E-2 " "
absolute error = 5.384581669432009000000000000000E-15 " "
relative error = 8.542255974796723000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0160000000001084 " "
y[1] (closed_form) = 6.30030160803892300E-2 " "
y[1] (numeric) = 6.30030160803838200E-2 " "
absolute error = 5.412337245047638000000000000000E-15 " "
relative error = 8.590600231172617000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0150000000001085 " "
y[1] (closed_form) = 6.2971399964424590E-2 " "
y[1] (numeric) = 6.29713999644191800E-2 " "
absolute error = 5.412337245047638000000000000000E-15 " "
relative error = 8.594913322723194000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0140000000001086 " "
y[1] (closed_form) = 6.29398076408457200E-2 " "
y[1] (numeric) = 6.29398076408403100E-2 " "
absolute error = 5.412337245047638000000000000000E-15 " "
relative error = 8.599227496741222000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0130000000001087 " "
y[1] (closed_form) = 6.29082390857856800E-2 " "
y[1] (numeric) = 6.29082390857802500E-2 " "
absolute error = 5.4262150328554530000000000000000E-15 " "
relative error = 8.625603119260612000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.012000000000109 " "
y[1] (closed_form) = 6.28766942754073700E-2 " "
y[1] (numeric) = 6.28766942754019500E-2 " "
absolute error = 5.4262150328554530000000000000000E-15 " "
relative error = 8.629930525749314000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.011000000000109 " "
y[1] (closed_form) = 6.28451731859036600E-2 " "
y[1] (numeric) = 6.28451731858982300E-2 " "
absolute error = 5.4262150328554530000000000000000E-15 " "
relative error = 8.634259017481023000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.010000000000109 " "
y[1] (closed_form) = 6.2813675793497190E-2 " "
y[1] (numeric) = 6.28136757934917500E-2 " "
absolute error = 5.440092820663267000000000000000E-15 " "
relative error = 8.660682171423654000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.009000000000109 " "
y[1] (closed_form) = 6.27822020744404100E-2 " "
y[1] (numeric) = 6.27822020744349600E-2 " "
absolute error = 5.4539706084710820000000000000000E-15 " "
relative error = 8.687128562334191000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0080000000001093 " "
y[1] (closed_form) = 6.27507520050154600E-2 " "
y[1] (numeric) = 6.27507520050100100E-2 " "
absolute error = 5.4539706084710820000000000000000E-15 " "
relative error = 8.691482467070932000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0070000000001094 " "
y[1] (closed_form) = 6.27193255615342700E-2 " "
y[1] (numeric) = 6.2719325561528800E-2 " "
absolute error = 5.467848396278896000000000000000E-15 " "
relative error = 8.717964275483735000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0060000000001095 " "
y[1] (closed_form) = 6.26879227203383100E-2 " "
y[1] (numeric) = 6.26879227203328600E-2 " "
absolute error = 5.4539706084710820000000000000000E-15 " "
relative error = 8.700193548926783000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0050000000001096 " "
y[1] (closed_form) = 6.26565434577987600E-2 " "
y[1] (numeric) = 6.2656543457793300E-2 " "
absolute error = 5.467848396278896000000000000000E-15 " "
relative error = 8.72669971008163000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0040000000001097 " "
y[1] (closed_form) = 6.26251877503163100E-2 " "
y[1] (numeric) = 6.26251877503108400E-2 " "
absolute error = 5.467848396278896000000000000000E-15 " "
relative error = 8.731069067735097000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.00300000000011 " "
y[1] (closed_form) = 6.25938555743211600E-2 " "
y[1] (numeric) = 6.25938555743156800E-2 " "
absolute error = 5.467848396278896000000000000000E-15 " "
relative error = 8.735439518958242000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.00200000000011 " "
y[1] (closed_form) = 6.256254690627300E-2 " "
y[1] (numeric) = 6.2562546906267500E-2 " "
absolute error = 5.495603971894525000000000000000E-15 " "
relative error = 8.784175586917312000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.00100000000011 " "
y[1] (closed_form) = 6.25312617226609200E-2 " "
y[1] (numeric) = 6.25312617226554300E-2 " "
absolute error = 5.495603971894525000000000000000E-15 " "
relative error = 8.788570421413636000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.00000000000011 " "
y[1] (closed_form) = 6.25000000000034400E-2 " "
y[1] (numeric) = 6.24999999999979600E-2 " "
absolute error = 5.488665077990618000000000000000E-15 " "
relative error = 8.781864124784505000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = -1.000E-3 " "
"Finished!"
"diff ( y , x , 1 ) = neg ( 2.0 ) / ( x - 6.0 ) / ( x - 6.0 ) / ( x - 6.0 ) ; "
Iterations = 1001
"Total Elapsed Time "= 22 Seconds
"Elapsed Time(since restart) "= 22 Seconds
"Expected Time Remaining "= 0 Seconds
"Optimized Time Remaining "= 0 Seconds
"Expected Total Time "= 22 Seconds
"Time to Timeout "= 2 Minutes 37 Seconds
Percent Done = 0.0 "%"
(%o257) temp/diffeq.sing6_back.max