(%i1) batch("temp/diffeq.add_lin_lin.max")
read and interpret file: /home/dennis/src/mine/omni/testtar/omnisode0060dir/temp/diffeq.add_lin_lin.max
(%i2) load("stringproc")
(%i3) keepfloat:true
(%i4) alias(convfloat,float)
(%i5) alias(int_trunc,truncate)
(%i6) alias(elapsed_time_seconds,elapsed_real_time)
(%i7) alias(ln,log)
(%i8) alias(arcsin,asin)
(%i9) alias(arccos,acos)
(%i10) alias(arctan,atan)
(%i11) alias(float_abs,abs)
(%i12) mode_declare(display_poles(),fixnum)
(%i13) mode_declare(est_size_answer(),convfloat)
(%i14) mode_declare(test_suggested_h(),convfloat)
(%i15) mode_declare(reached_interval(),boolean)
(%i16) mode_declare(display_alot([iter],fixnum),fixnum)
(%i17) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum)
(%i18) mode_declare(check_for_pole(),fixnum)
(%i19) mode_declare(atomall(),fixnum)
(%i20) mode_declare(log10([x],convfloat),convfloat)
(%i21) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum)
(%i22) mode_declare(omniout_timestr(secs_in,number),fixnum)
(%i23) mode_declare(zero_ats_ar(ar,array([30],convfloat)),fixnum)
(%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a],
completearray([30],convfloat),[arr_b],
completearray([30],convfloat),[jjj_ats],fixnum),
convfloat)
(%i25) mode_declare(att([mmm_att],fixnum,[arr_a],
completearray([30],convfloat),[arr_b],
completearray([30],convfloat),[jjj_att],fixnum),
convfloat)
(%i26) mode_declare(logitem_ditto([file],fixnum),fixnum)
(%i27) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum)
(%i28) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum)
(%i29) mode_declare(logitem_number([file],fixnum,[x],number),fixnum)
(%i30) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum)
(%i31) mode_declare(logstart([file],fixnum),fixnum)
(%i32) mode_declare(logend([file],fixnum),fixnum)
(%i33) mode_declare(chk_data(),fixnum)
(%i34) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat,
[t2],convfloat,[clock_sec2],convfloat),
convfloat)
(%i35) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2],
convfloat),convfloat)
(%i36) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%i37) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%i38) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%i39) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%i40) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%i41) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%i42) mode_declare(neg([nnn],convfloat),convfloat)
(%i43) mode_declare(factorial_2([nnn],fixnum),convfloat)
(%i44) mode_declare(factorial_1([nnn],fixnum),convfloat)
(%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),convfloat)
(%i46) mode_declare(convfloat([mmm],fixnum),convfloat)
(%i47) mode_declare(elaped_time_seconds(),convfloat)
(%i48) mode_declare(Si([x],convfloat),convfloat)
(%i49) mode_declare(Ci([x],convfloat),convfloat)
(%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end],
convfloat,[estimated_h],
convfloat,[estimated_answer],
convfloat),convfloat)
(%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat)
(%i52) mode_declare(main_prog(),fixnum)
(%i53) define_variable(always,1,fixnum)
(%i54) define_variable(info,2,fixnum)
(%i55) define_variable(debugl,3,fixnum)
(%i56) define_variable(debugmassive,4,fixnum)
(%i57) define_variable(glob_iolevel,5,fixnum)
(%i58) define_variable(glob_yes_pole,4,fixnum)
(%i59) define_variable(glob_no_pole,3,fixnum)
(%i60) define_variable(glob_not_given,0,fixnum)
(%i61) define_variable(glob_no_sing_tests,4,fixnum)
(%i62) define_variable(glob_ratio_test,1,fixnum)
(%i63) define_variable(glob_three_term_test,2,fixnum)
(%i64) define_variable(glob_six_term_test,3,fixnum)
(%i65) define_variable(ats_max_terms,30,fixnum)
(%i66) define_variable(glob_log_10,0.0,convfloat)
(%i67) define_variable(max_unchanged,10,fixnum)
(%i68) define_variable(glob__small,1.0E-51,convfloat)
(%i69) define_variable(glob_small_float,1.0E-51,convfloat)
(%i70) define_variable(glob_smallish_float,1.0E-61,convfloat)
(%i71) define_variable(glob_large_float,1.0E+100,convfloat)
(%i72) define_variable(glob_larger_float,1.1E+100,convfloat)
(%i73) define_variable(glob__m2,-2.0,convfloat)
(%i74) define_variable(glob__m1,-1.0,convfloat)
(%i75) define_variable(glob__0,0.0,convfloat)
(%i76) define_variable(glob__1,1.0,convfloat)
(%i77) define_variable(glob__2,2.0,convfloat)
(%i78) define_variable(glob__3,3.0,convfloat)
(%i79) define_variable(glob__4,4.0,convfloat)
(%i80) define_variable(glob__5,5.0,convfloat)
(%i81) define_variable(glob__8,8.0,convfloat)
(%i82) define_variable(glob__10,10.0,convfloat)
(%i83) define_variable(glob__100,100.0,convfloat)
(%i84) define_variable(glob__pi,0.0,convfloat)
(%i85) define_variable(glob__0_5,0.5,convfloat)
(%i86) define_variable(glob__0_8,0.8,convfloat)
(%i87) define_variable(glob__m0_8,-0.8,convfloat)
(%i88) define_variable(glob__0_25,0.25,convfloat)
(%i89) define_variable(glob__0_125,0.125,convfloat)
(%i90) define_variable(glob_prec,1.0E-16,convfloat)
(%i91) define_variable(glob_check_sign,1.0,convfloat)
(%i92) define_variable(glob_desired_digits_correct,8.0,convfloat)
(%i93) define_variable(glob_max_estimated_step_error,0.0,convfloat)
(%i94) define_variable(glob_ratio_of_radius,0.1,convfloat)
(%i95) define_variable(glob_percent_done,0.0,convfloat)
(%i96) define_variable(glob_total_exp_sec,0.1,convfloat)
(%i97) define_variable(glob_optimal_expect_sec,0.1,convfloat)
(%i98) define_variable(glob_estimated_size_answer,100.0,convfloat)
(%i99) define_variable(glob_almost_1,0.999,convfloat)
(%i100) define_variable(glob_clock_sec,0.0,convfloat)
(%i101) define_variable(glob_clock_start_sec,0.0,convfloat)
(%i102) define_variable(glob_disp_incr,0.1,convfloat)
(%i103) define_variable(glob_h,0.1,convfloat)
(%i104) define_variable(glob_diff_rc_fm,0.1,convfloat)
(%i105) define_variable(glob_diff_rc_fmm1,0.1,convfloat)
(%i106) define_variable(glob_diff_rc_fmm2,0.1,convfloat)
(%i107) define_variable(glob_diff_ord_fm,0.1,convfloat)
(%i108) define_variable(glob_diff_ord_fmm1,0.1,convfloat)
(%i109) define_variable(glob_diff_ord_fmm2,0.1,convfloat)
(%i110) define_variable(glob_six_term_ord_save,0.1,convfloat)
(%i111) define_variable(glob_guess_error_rc,0.1,convfloat)
(%i112) define_variable(glob_guess_error_ord,0.1,convfloat)
(%i113) define_variable(glob_least_given_sing,9.9E+200,convfloat)
(%i114) define_variable(glob_least_ratio_sing,9.9E+200,convfloat)
(%i115) define_variable(glob_least_3_sing,9.9E+100,convfloat)
(%i116) define_variable(glob_least_6_sing,9.9E+100,convfloat)
(%i117) define_variable(glob_last_good_h,0.1,convfloat)
(%i118) define_variable(glob_max_h,0.1,convfloat)
(%i119) define_variable(glob_min_h,1.0E-6,convfloat)
(%i120) define_variable(glob_display_interval,0.1,convfloat)
(%i121) define_variable(glob_abserr,1.0E-11,convfloat)
(%i122) define_variable(glob_relerr,1.0E-11,convfloat)
(%i123) define_variable(glob_min_pole_est,1.0E+9,convfloat)
(%i124) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat)
(%i125) define_variable(glob_max_trunc_err,1.0E-11,convfloat)
(%i126) define_variable(glob_max_hours,0.0,convfloat)
(%i127) define_variable(glob_optimal_clock_start_sec,0.0,convfloat)
(%i128) define_variable(glob_optimal_start,0.0,convfloat)
(%i129) define_variable(glob_upper_ratio_limit,1.0001,convfloat)
(%i130) define_variable(glob_lower_ratio_limit,0.9999,convfloat)
(%i131) define_variable(glob_max_sec,10000.0,convfloat)
(%i132) define_variable(glob_orig_start_sec,0.0,convfloat)
(%i133) define_variable(glob_normmax,0.0,convfloat)
(%i134) define_variable(glob_max_minutes,0.0,convfloat)
(%i135) define_variable(glob_next_display,0.0,convfloat)
(%i136) define_variable(glob_est_digits,1,fixnum)
(%i137) define_variable(glob_subiter_method,3,fixnum)
(%i138) define_variable(glob_html_log,true,boolean)
(%i139) define_variable(glob_min_good_digits,99999,fixnum)
(%i140) define_variable(glob_good_digits,0,fixnum)
(%i141) define_variable(glob_min_apfp_est_good_digits,99999,fixnum)
(%i142) define_variable(glob_apfp_est_good_digits,0,fixnum)
(%i143) define_variable(glob_max_opt_iter,10,fixnum)
(%i144) define_variable(glob_dump,false,boolean)
(%i145) define_variable(glob_djd_debug,true,boolean)
(%i146) define_variable(glob_display_flag,true,boolean)
(%i147) define_variable(glob_djd_debug2,true,boolean)
(%i148) define_variable(glob_h_reason,0,fixnum)
(%i149) define_variable(glob_sec_in_minute,60,fixnum)
(%i150) define_variable(glob_min_in_hour,60,fixnum)
(%i151) define_variable(glob_hours_in_day,24,fixnum)
(%i152) define_variable(glob_days_in_year,365,fixnum)
(%i153) define_variable(glob_sec_in_hour,3600,fixnum)
(%i154) define_variable(glob_sec_in_day,86400,fixnum)
(%i155) define_variable(glob_sec_in_year,31536000,fixnum)
(%i156) define_variable(glob_not_yet_finished,true,boolean)
(%i157) define_variable(glob_initial_pass,true,boolean)
(%i158) define_variable(glob_not_yet_start_msg,true,boolean)
(%i159) define_variable(glob_reached_optimal_h,false,boolean)
(%i160) define_variable(glob_optimal_done,false,boolean)
(%i161) define_variable(glob_type_given_pole,0,fixnum)
(%i162) define_variable(glob_optimize,false,boolean)
(%i163) define_variable(glob_look_poles,false,boolean)
(%i164) define_variable(glob_dump_closed_form,false,boolean)
(%i165) define_variable(glob_max_iter,1000,fixnum)
(%i166) define_variable(glob_no_eqs,0,fixnum)
(%i167) define_variable(glob_unchanged_h_cnt,0,fixnum)
(%i168) define_variable(glob_warned,false,boolean)
(%i169) define_variable(glob_warned2,false,boolean)
(%i170) define_variable(glob_start,0,fixnum)
(%i171) define_variable(glob_iter,0,fixnum)
(%i172) completearray(array_y_init,[30],convfloat)
(%i173) completearray(array_norms,[30],convfloat)
(%i174) completearray(array_fact_1,[30],convfloat)
(%i175) completearray(array_1st_rel_error,[2],convfloat)
(%i176) completearray(array_last_rel_error,[2],convfloat)
(%i177) completearray(array_est_rel_error,[2],convfloat)
(%i178) completearray(array_max_est_error,[2],convfloat)
(%i179) completearray(array_type_pole,[2],convfloat)
(%i180) completearray(array_type_real_pole,[2],convfloat)
(%i181) completearray(array_type_complex_pole,[2],convfloat)
(%i182) completearray(array_est_digits,[2],convfloat)
(%i183) completearray(array_y,[30],convfloat)
(%i184) completearray(array_x,[30],convfloat)
(%i185) completearray(array_tmp0,[30],convfloat)
(%i186) completearray(array_tmp1,[30],convfloat)
(%i187) completearray(array_tmp2,[30],convfloat)
(%i188) completearray(array_tmp3,[30],convfloat)
(%i189) completearray(array_tmp4,[30],convfloat)
(%i190) completearray(array_tmp5,[30],convfloat)
(%i191) completearray(array_tmp6,[30],convfloat)
(%i192) completearray(array_m1,[30],convfloat)
(%i193) completearray(array_y_higher,[2,30],convfloat)
(%i194) completearray(array_y_higher_work,[2,30],convfloat)
(%i195) completearray(array_y_higher_work2,[2,30],convfloat)
(%i196) completearray(array_y_set_initial,[2,30],convfloat)
(%i197) completearray(array_given_rad_poles,[2,3],convfloat)
(%i198) completearray(array_given_ord_poles,[2,3],convfloat)
(%i199) completearray(array_rad_test_poles,[2,4],convfloat)
(%i200) completearray(array_ord_test_poles,[2,4],convfloat)
(%i201) completearray(array_fact_2,[30,30],convfloat)
(%i202) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%i203) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%i204) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%i205) 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))
(%i206) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%i207) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%i208) 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)
(%i209) 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)
(%i210) 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)
(%i211) 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)
(%i212) 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)
(%i213) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%i214) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%i215) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%i216) logitem_good_digits(file,rel_error):=(
block(mode_declare([[good_digits],fixnum]),
printf(file,""),
printf(file,"~d",glob_min_good_digits),
printf(file," | ")),0)
(%i217) log_revs(file,revs):=printf(file,revs)
(%i218) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%i219) 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)
(%i220) logstart(file):=(printf(file,""),0)
(%i221) logend(file):=(printf(file,"
~%"),0)
(%i222) 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)
(%i223) 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)
(%i224) 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)
(%i225) 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)
(%i226) 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)
(%i227) c(in_val):=(ret:in_val,ret)
(%i228) 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)
(%i229) 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)
(%i230) 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)
(%i231) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%i232) factorial_2(nnn):=block(mode_declare([[ret],convfloat]),ret:nnn!,ret)
(%i233) 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)
(%i234) factorial_1(in):=block(mode_declare([[ret],convfloat]),ret:in!,ret)
(%i235) neg(in):=block(mode_declare([[ret],convfloat]),ret:-in,ret)
(%i236) 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)
(%i237) log10(x):=log(x)/glob_log_10
(%i238) c(x):=x
(%i239) 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
(%i240) 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)
(%i241) exact_soln_y(x):=block(c(0.3)*c(x)+c(0.4)*c(x)*c(x)/c(2.0))
c(0.4) c(x) c(x)
(%o241) exact_soln_y(x) := block(c(0.3) c(x) + ----------------)
c(2.0)
(%i242) 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)
(%i243) my_check_sign(x0,xf):=block([ret],
if xf > x0 then ret:glob__1 else ret:glob__m1,ret)
(%i244) 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)
(%i245) 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)
(%i246) 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))
(%i247) 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))
(%i248) 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(28)
*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)
(%i249) 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)
(%i250) 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)
(%i251) atomall():=(
block(mode_declare([[kkk,order_d],fixnum,
[adj2,adj3,temporary,term,temp,temp2],
convfloat]),
array_tmp1[1]:array_const_0D1[1]*array_x[1],
array_tmp2[1]:array_const_0D2[1]+array_tmp1[1],
array_tmp3[1]:array_tmp2[1]+array_const_0D0[1],
array_tmp4[1]:array_const_0D3[1]*array_x[1],
array_tmp5[1]:array_const_0D1[1]+array_tmp4[1],
array_tmp6[1]:array_tmp5[1]+array_tmp3[1],
if not array_y_set_initial[1,2]
then (if 1 <= ats_max_terms
then (
temporary
:c(array_tmp6[1])*expt(glob_h,c(1))
*c(factorial_3(0,1)),
if 2 <= ats_max_terms
then (array_y[2]:temporary,
array_y_higher[1,2]:temporary),
temporary:c(temporary)*c(1)/c(glob_h),
array_y_higher[2,1]:c(temporary),0)),
kkk:2,array_tmp1[2]:array_const_0D1[1]*array_x[2],
array_tmp2[2]:array_tmp1[2],array_tmp3[2]:array_tmp2[2],
array_tmp4[2]:array_const_0D3[1]*array_x[2],
array_tmp5[2]:array_tmp4[2],
array_tmp6[2]:array_tmp5[2]+array_tmp3[2],
if not array_y_set_initial[1,3]
then (if 2 <= ats_max_terms
then (
temporary
:c(array_tmp6[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,
if not array_y_set_initial[1,4]
then (if 3 <= ats_max_terms
then (
temporary
:c(array_tmp6[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,
if not array_y_set_initial[1,5]
then (if 4 <= ats_max_terms
then (
temporary
:c(array_tmp6[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,
if not array_y_set_initial[1,6]
then (if 5 <= ats_max_terms
then (
temporary
:c(array_tmp6[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 false do
(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_tmp6[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)
(%i252) exact_soln_y(x):=block(c(0.3)*c(x)+c(0.4)*c(x)*c(x)/c(2.0))
c(0.4) c(x) c(x)
(%o252) exact_soln_y(x) := block(c(0.3) c(x) + ----------------)
c(2.0)
(%i253) main_prog():=block(
mode_declare([[d1,d2,d3,d4,est_err_2,display_max],convfloat,
[niii,done_once,term,ord,order_diff,term_no,
html_log_file,iiif,jjjf,rows,r_order,
sub_iter,calc_term,iii],fixnum,[temp_sum],
convfloat,[current_iter],fixnum,
[x_start,x_end],convfloat,[it,opt_iter],
fixnum,[tmp],convfloat,[subiter],fixnum,
[est_needed_step_err,estimated_step_error,
min_value,est_answer,last_min_pole_est],
convfloat,[repeat_it],fixnum],[found_h],
boolean),Digits:32,max_terms:30,
glob_html_log:true,term:1,
while term <= 30 do (array_y_init[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_norms[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_fact_1[term]:c(0.0),term:1+term),
term:1,
while term <= 2 do
(array_1st_rel_error[term]:c(0.0),term:1+term),term:1,
while term <= 2 do
(array_last_rel_error[term]:c(0.0),term:1+term),
term:1,
while term <= 2 do
(array_est_rel_error[term]:c(0.0),term:1+term),term:1,
while term <= 2 do
(array_max_est_error[term]:c(0.0),term:1+term),term:1,
while term <= 2 do (array_type_pole[term]:0,term:1+term),
term:1,
while term <= 2 do
(array_type_real_pole[term]:0,term:1+term),term:1,
while term <= 2 do
(array_type_complex_pole[term]:0,term:1+term),term:1,
while term <= 2 do (array_est_digits[term]:0,term:1+term),
term:1,
while term <= 30 do (array_y[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_x[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_tmp0[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_tmp1[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_tmp2[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_tmp3[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_tmp4[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_tmp5[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_tmp6[term]:c(0.0),term:1+term),
term:1,
while term <= 30 do (array_m1[term]:c(0.0),term:1+term),
ord:1,
while ord <= 2 do
(term:1,
while term <= 30 do
(array_y_higher[ord,term]:c(0.0),term:1+term),
ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 30 do
(array_y_higher_work[ord,term]:c(0.0),
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 30 do
(array_y_higher_work2[ord,term]:c(0.0),
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 30 do
(array_y_set_initial[ord,term]:c(0.0),
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_rad_poles[ord,term]:c(0.0),
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_ord_poles[ord,term]:c(0.0),
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 4 do
(array_rad_test_poles[ord,term]:c(0.0),
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 4 do
(array_ord_test_poles[ord,term]:c(0.0),
term:1+term),ord:1+ord),ord:1,
while ord <= 30 do
(term:1,
while term <= 30 do
(array_fact_2[ord,term]:c(0.0),term:1+term),
ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x),
zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1),
zero_ats_ar(array_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_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_0D1),array_const_0D1[1]:c(0.1),
zero_ats_ar(array_const_0D2),array_const_0D2[1]:c(0.2),
zero_ats_ar(array_const_0D3),array_const_0D3[1]:c(0.3),
zero_ats_ar(array_m1),array_m1[1]:glob__m1,iiif:0,
while iiif <= ats_max_terms do
(jjjf:0,
while jjjf <= ats_max_terms do
(array_fact_1[iiif]:0,
array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf),
iiif:1+iiif),array_y_set_initial[1,1]:true,
array_y_set_initial[1,2]:false,
array_y_set_initial[1,3]:false,
array_y_set_initial[1,4]:false,
array_y_set_initial[1,5]:false,
array_y_set_initial[1,6]:false,
array_y_set_initial[1,7]:false,
array_y_set_initial[1,8]:false,
array_y_set_initial[1,9]:false,
array_y_set_initial[1,10]:false,
array_y_set_initial[1,11]:false,
array_y_set_initial[1,12]:false,
array_y_set_initial[1,13]:false,
array_y_set_initial[1,14]:false,
array_y_set_initial[1,15]:false,
array_y_set_initial[1,16]:false,
array_y_set_initial[1,17]:false,
array_y_set_initial[1,18]:false,
array_y_set_initial[1,19]:false,
array_y_set_initial[1,20]:false,
array_y_set_initial[1,21]:false,
array_y_set_initial[1,22]:false,
array_y_set_initial[1,23]:false,
array_y_set_initial[1,24]:false,
array_y_set_initial[1,25]:false,
array_y_set_initial[1,26]:false,
array_y_set_initial[1,27]:false,
array_y_set_initial[1,28]:false,
array_y_set_initial[1,29]:false,
array_y_set_initial[1,30]:false,glob_log_10:log(10.0),
glob_orig_start_sec:elapsed_time_seconds(),
glob_display_flag:true,glob_no_eqs:1,glob_iter:-1,
opt_iter:-1,glob_max_iter:50000,glob_max_hours:0.0,
glob_max_minutes:15.0,
omniout_str(always,
"##############ECHO OF PROBLEM#################"),
omniout_str(always,
"##############temp/add_lin_linpostode.ode#################"),
omniout_str(always,
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; "),
omniout_str(always,"!"),
omniout_str(always,"/* BEGIN FIRST INPUT BLOCK */"),
omniout_str(always,"Digits:32,"),
omniout_str(always,"max_terms:30,"),omniout_str(always,"!"),
omniout_str(always,"/* END FIRST INPUT BLOCK */"),
omniout_str(always,"/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(always,"x_start:c(-5.0),"),
omniout_str(always,"x_end:c(5.0),"),
omniout_str(always,
"array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(always,"glob_look_poles: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:3,"),
omniout_str(always,"/* END SECOND INPUT BLOCK */"),
omniout_str(always,"/* BEGIN OVERRIDE BLOCK */"),
omniout_str(always,"glob_desired_digits_correct:8,"),
omniout_str(always,"glob_max_minutes:(3.0),"),
omniout_str(always,"glob_subiter_method:3,"),
omniout_str(always,"glob_max_iter:100000,"),
omniout_str(always,"glob_upper_ratio_limit:c(1.000001),"),
omniout_str(always,"glob_lower_ratio_limit:c(0.999999),"),
omniout_str(always,"glob_look_poles:false,"),
omniout_str(always,"glob_h:c(0.001),"),
omniout_str(always,"glob_display_interval:c(0.01),"),
omniout_str(always,"/* END OVERRIDE BLOCK */"),
omniout_str(always,"!"),
omniout_str(always,"/* BEGIN USER DEF BLOCK */"),
omniout_str(always,"exact_soln_y (x) := (block("),
omniout_str(always,
" (c(0.4) * c(x) * c(x) / c(2.0) + c(0.3)* c(x)) "),
omniout_str(always,"));"),
omniout_str(always,"/* END USER DEF BLOCK */"),
omniout_str(always,
"#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false,
glob_small_float:glob__0,glob_smallish_float:glob__0,
glob_large_float:c(1.0E+100),glob_larger_float:c(1.1E+100),
glob_almost_1:c(0.99),x_start:c(-5.0),x_end:c(5.0),
array_y_init[1+0]:exact_soln_y(x_start),
glob_look_poles:true,glob_type_given_pole:3,
glob_desired_digits_correct:8,glob_max_minutes:3.0,
glob_subiter_method:3,glob_max_iter:100000,
glob_upper_ratio_limit:c(1.000001),
glob_lower_ratio_limit:c(0.999999),glob_look_poles:false,
glob_h:c(0.001),glob_display_interval:c(0.01),
glob_last_good_h:glob_h,
glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes,
glob_check_sign:c(my_check_sign(x_start,x_end)),
glob__pi:3.141592654,glob_prec:1.0E-16,
if glob_optimize
then (omniout_str(always,"START of Optimize"),
found_h:false,glob_min_pole_est:glob_larger_float,
last_min_pole_est:glob_larger_float,
glob_least_given_sing:glob_larger_float,
glob_least_ratio_sing:glob_larger_float,
glob_least_3_sing:glob_larger_float,
glob_least_6_sing:glob_larger_float,
glob_min_h:abs(glob_min_h)*glob_check_sign,
glob_max_h:abs(glob_max_h)*glob_check_sign,
glob_h:abs(glob_min_h)*glob_check_sign,
glob_display_interval
:c(abs(c(glob_display_interval))
*glob_check_sign),
display_max:c(x_end)-c(x_start)/glob__10,
if glob_display_interval > display_max
then glob_display_interval:c(display_max),
chk_data(),min_value:glob_larger_float,
est_answer:est_size_answer(),opt_iter:1,
est_needed_step_err
:estimated_needed_step_error(
x_start,x_end,glob_h,est_answer),
omniout_float(always,"est_needed_step_err",32,
est_needed_step_err,16,""),
estimated_step_error:glob_small_float,
while opt_iter <= 100 and not found_h do
(omniout_int(always,"opt_iter",32,opt_iter,
4,""),array_x[1]:c(x_start),
array_x[2]:c(glob_h),
glob_next_display:c(x_start),order_diff:1,
term_no:1,
while term_no <= order_diff do
(
array_y[term_no]
:array_y_init[term_no]
*expt(glob_h,c(term_no-1))
/c(factorial_1(term_no-1)),
term_no:1+term_no),rows:order_diff,
r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < ats_max_terms
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,
c(term_no-1))
/c(
factorial_1(
term_no-1)),
term_no:1+term_no),
r_order:1+r_order),atomall(),
if glob_check_sign*glob_min_h
>= glob_check_sign*glob_h
then (
omniout_str(always,
"SETTING H FOR MIN H"),
glob_h:glob_check_sign*abs(glob_min_h),
glob_h_reason:1,found_h:true),
if glob_check_sign*glob_display_interval
<= glob_check_sign*glob_h
then (
omniout_str(always,
"SETTING H FOR DISPLAY INTERVAL"),
glob_h_reason:2,
glob_h:glob_display_interval,
found_h:true),
if glob_look_poles then check_for_pole(),
if not found_h
then (est_answer:est_size_answer(),
est_needed_step_err
:estimated_needed_step_error(
x_start,x_end,glob_h,
est_answer),
omniout_float(always,
"est_needed_step_err",
32,
est_needed_step_err,
16,""),
estimated_step_error
:test_suggested_h(),
omniout_float(always,
"estimated_step_error",
32,
estimated_step_error,
32,""),
if
estimated_step_error
< est_needed_step_err
then (
omniout_str(always,
"Double H and LOOP"),
glob_h:glob_h*glob__2)
else (
omniout_str(always,
"Found H for OPTIMAL"),
found_h:true,glob_h_reason:3,
glob_h:glob_h/glob__2)),
opt_iter:1+opt_iter),
if not found_h and opt_iter = 1
then (omniout_str(always,
"Beginning glob_h too large."),
found_h:false),
if glob_check_sign*glob_max_h
<= glob_check_sign*glob_h
then (omniout_str(always,
"SETTING H FOR MAX H"),
glob_h:glob_check_sign*abs(glob_max_h),
glob_h_reason:1,found_h:true))
else (found_h:true,glob_h:glob_h*glob_check_sign),
if glob_html_log then html_log_file:openw("entry.html"),
if found_h
then (omniout_str(always,"START of Soultion"),
array_x[1]:c(x_start),array_x[2]:c(glob_h),
glob_next_display:c(x_start),
glob_min_pole_est:glob_larger_float,
glob_least_given_sing:glob_larger_float,
glob_least_ratio_sing:glob_larger_float,
glob_least_3_sing:glob_larger_float,
glob_least_6_sing:glob_larger_float,order_diff:1,
term_no:1,
while term_no <= order_diff do
(array_y[term_no]
:array_y_init[term_no]
*expt(glob_h,c(term_no-1))
/c(factorial_1(term_no-1)),
term_no:1+term_no),rows:order_diff,
r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < ats_max_terms
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,c(term_no-1))
/c(factorial_1(term_no-1)),
term_no:1+term_no),
r_order:1+r_order),current_iter:1,
glob_clock_start_sec:elapsed_time_seconds(),
glob_clock_sec:elapsed_time_seconds(),glob_iter:0,
omniout_str(debugl," "),
glob_reached_optimal_h:true,
glob_optimal_clock_start_sec
:elapsed_time_seconds(),
while glob_iter < glob_max_iter
and glob_check_sign*array_x[1]
< glob_check_sign*x_end
and glob_clock_sec-glob_orig_start_sec
< glob_max_sec do
(if reached_interval()
then (omniout_str(info," "),
omniout_str(info,
"TOP MAIN SOLVE Loop")),
glob_iter:1+glob_iter,
glob_clock_sec:elapsed_time_seconds(),
track_estimated_error(),atomall(),
track_estimated_error(),
display_alot(current_iter),
if glob_look_poles then check_for_pole(),
if reached_interval()
then glob_next_display
:glob_display_interval
+glob_next_display,
array_x[1]:glob_h+array_x[1],
array_x[2]:glob_h,order_diff:2,ord:2,
calc_term:1,iii:ats_max_terms,
while iii >= calc_term do
(
array_y_higher_work[2,iii]
:array_y_higher[2,iii]
/expt(glob_h,c(calc_term-1))
/c(
factorial_3(iii-calc_term,iii-1)),
iii:iii-1),temp_sum:glob__0,ord:2,
calc_term:1,iii:ats_max_terms,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,c(calc_term-1))
/c(factorial_1(calc_term-1)),ord:1,
calc_term:2,iii:ats_max_terms,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,c(calc_term-1))
/c(
factorial_3(iii-calc_term,iii-1)),
iii:iii-1),temp_sum:glob__0,ord:1,
calc_term:2,iii:ats_max_terms,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,c(calc_term-1))
/c(factorial_1(calc_term-1)),ord:1,
calc_term:1,iii:ats_max_terms,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,c(calc_term-1))
/c(
factorial_3(iii-calc_term,iii-1)),
iii:iii-1),temp_sum:glob__0,ord:1,
calc_term:1,iii:ats_max_terms,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,c(calc_term-1))
/c(factorial_1(calc_term-1)),
term_no:ats_max_terms,
while term_no >= 1 do
(
array_y[term_no]
:array_y_higher_work2[1,term_no],
ord:1,
while ord <= order_diff do
(
array_y_higher[ord,term_no]
:array_y_higher_work2[
ord,term_no],ord:1+ord),
term_no:term_no-1)),
omniout_str(always,"Finished!"),
if glob_iter >= glob_max_iter
then omniout_str(always,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds()-glob_orig_start_sec
>= glob_max_sec
then omniout_str(always,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec:elapsed_time_seconds(),
omniout_str(info,
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; "),
omniout_int(info,
"Iterations ",32,
glob_iter,4," "),
prog_report(x_start,x_end),
if glob_html_log
then (logstart(html_log_file),
logitem_str(html_log_file,
"2015-04-24T20:17:19-05:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"add_lin_lin"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; "),
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,
"add_lin_lin diffeq.max"),
logitem_str(html_log_file,
"add_lin_lin maxima results"),
logitem_str(html_log_file,"OK"),
logend(html_log_file)),
if glob_html_log then close(html_log_file)))
(%i254) main():=(glob_iolevel:2,compile(all),main_prog())
(%i255) 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_0D1 in translation.
warning: encountered undefined variable array_tmp1 in translation.
warning: encountered undefined variable array_const_0D2 in translation.
warning: encountered undefined variable array_tmp2 in translation.
warning: encountered undefined variable array_const_0D0 in translation.
warning: encountered undefined variable array_tmp3 in translation.
warning: encountered undefined variable array_const_0D3 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 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/add_lin_linpostode.ode#################"
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; "
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:c(-5.0),"
"x_end:c(5.0),"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
""
""
""
""
""
""
""
"glob_type_given_pole:3,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:8,"
"glob_max_minutes:(3.0),"
"glob_subiter_method:3,"
"glob_max_iter:100000,"
"glob_upper_ratio_limit:c(1.000001),"
"glob_lower_ratio_limit:c(0.999999),"
"glob_look_poles:false,"
"glob_h:c(0.001),"
"glob_display_interval:c(0.01),"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (c(0.4) * c(x) * c(x) / c(2.0) + c(0.3)* c(x)) "
"));"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5. " "
y[1] (closed_form) = 3.5 " "
y[1] (numeric) = 3.5 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Desired digits = 8
Estimated correct digits = 15
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.989999999999997 " "
y[1] (closed_form) = 3.4830199999999945 " "
y[1] (numeric) = 3.4830200000000002 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 1.65751552619589430000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.979999999999993 " "
y[1] (closed_form) = 3.4660799999999883 " "
y[1] (numeric) = 3.4660800000000003 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 3.45935716023627050000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.96999999999999 " "
y[1] (closed_form) = 3.4491799999999833 " "
y[1] (numeric) = 3.4491800000000006 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 5.0213323700568040000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.959999999999987 " "
y[1] (closed_form) = 3.4323199999999776 " "
y[1] (numeric) = 3.4323200000000003 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 6.5986125135049580000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.949999999999983 " "
y[1] (closed_form) = 3.4154999999999722 " "
y[1] (numeric) = 3.4155000000000006 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 8.3213905520141230000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.93999999999998 " "
y[1] (closed_form) = 3.398719999999966 " "
y[1] (numeric) = 3.3987200000000004 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.0061102167420428000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.929999999999977 " "
y[1] (closed_form) = 3.3819799999999614 " "
y[1] (numeric) = 3.381980000000001 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.1686627264695837000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.919999999999973 " "
y[1] (closed_form) = 3.365279999999956 " "
y[1] (numeric) = 3.3652800000000003 " "
absolute error = 4.44089209850062600000000000000E-14 " "
relative error = 1.3196203877539714000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.90999999999997 " "
y[1] (closed_form) = 3.3486199999999497 " "
y[1] (numeric) = 3.348620000000001 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 1.5251136029993836000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.899999999999967 " "
y[1] (closed_form) = 3.331999999999945 " "
y[1] (numeric) = 3.3320000000000007 " "
absolute error = 5.59552404411078900000000000000E-14 " "
relative error = 1.679328944811189000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.889999999999963 " "
y[1] (closed_form) = 3.315419999999939 " "
y[1] (numeric) = 3.3154200000000014 " "
absolute error = 6.21724893790087700000000000000E-14 " "
relative error = 1.8752522871615032000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.87999999999996 " "
y[1] (closed_form) = 3.298879999999934 " "
y[1] (numeric) = 3.298880000000001 " "
absolute error = 6.70574706873594600000000000000E-14 " "
relative error = 2.032734464041153200000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.869999999999957 " "
y[1] (closed_form) = 3.282379999999929 " "
y[1] (numeric) = 3.2823800000000016 " "
absolute error = 7.28306304154102700000000000000E-14 " "
relative error = 2.218836040172431000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.859999999999953 " "
y[1] (closed_form) = 3.265919999999923 " "
y[1] (numeric) = 3.2659200000000013 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 2.3931909211987085000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.84999999999995 " "
y[1] (closed_form) = 3.2494999999999177 " "
y[1] (numeric) = 3.249500000000002 " "
absolute error = 8.4376949871511900000000000000E-14 " "
relative error = 2.59661332117292030000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.839999999999947 " "
y[1] (closed_form) = 3.2331199999999125 " "
y[1] (numeric) = 3.2331200000000018 " "
absolute error = 8.92619311798625900000000000000E-14 " "
relative error = 2.7608604437776824000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.829999999999943 " "
y[1] (closed_form) = 3.2167799999999076 " "
y[1] (numeric) = 3.2167800000000026 " "
absolute error = 9.5035090907913400000000000000E-14 " "
relative error = 2.954354693448608000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.81999999999994 " "
y[1] (closed_form) = 3.200479999999902 " "
y[1] (numeric) = 3.2004800000000024 " "
absolute error = 1.00364161426114150000000000000E-13 " "
relative error = 3.1359096581174456000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.8099999999999365 " "
y[1] (closed_form) = 3.184219999999897 " "
y[1] (numeric) = 3.184220000000003 " "
absolute error = 1.06137321154164970000000000000E-13 " "
relative error = 3.333228267964161000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.799999999999933 " "
y[1] (closed_form) = 3.167999999999892 " "
y[1] (numeric) = 3.168000000000003 " "
absolute error = 1.11022302462515650000000000000E-13 " "
relative error = 3.5044918706603360000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.78999999999993 " "
y[1] (closed_form) = 3.151819999999887 " "
y[1] (numeric) = 3.1518200000000034 " "
absolute error = 1.1635137298071640000000000000E-13 " "
relative error = 3.6915614781529590000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7799999999999265 " "
y[1] (closed_form) = 3.1356799999998817 " "
y[1] (numeric) = 3.1356800000000034 " "
absolute error = 1.21680443498917160000000000000E-13 " "
relative error = 3.880512153629253000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.769999999999923 " "
y[1] (closed_form) = 3.1195799999998766 " "
y[1] (numeric) = 3.119580000000004 " "
absolute error = 1.27453603226967970000000000000E-13 " "
relative error = 4.08560137027975000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.75999999999992 " "
y[1] (closed_form) = 3.1035199999998717 " "
y[1] (numeric) = 3.103520000000004 " "
absolute error = 1.32338584535318660000000000000E-13 " "
relative error = 4.264144730348899000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7499999999999165 " "
y[1] (closed_form) = 3.0874999999998662 " "
y[1] (numeric) = 3.087500000000005 " "
absolute error = 1.38555833473219540000000000000E-13 " "
relative error = 4.487638331116617000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.739999999999913 " "
y[1] (closed_form) = 3.071519999999861 " "
y[1] (numeric) = 3.071520000000005 " "
absolute error = 1.4388490399142030000000000000E-13 " "
relative error = 4.684485335971337300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.72999999999991 " "
y[1] (closed_form) = 3.055579999999856 " "
y[1] (numeric) = 3.0555800000000053 " "
absolute error = 1.49213974509621040000000000000E-13 " "
relative error = 4.883327371877943500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7199999999999065 " "
y[1] (closed_form) = 3.0396799999998514 " "
y[1] (numeric) = 3.0396800000000055 " "
absolute error = 1.54098955817971730000000000000E-13 " "
relative error = 5.069578239090275000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.709999999999903 " "
y[1] (closed_form) = 3.023819999999847 " "
y[1] (numeric) = 3.023820000000006 " "
absolute error = 1.58983937126322420000000000000E-13 " "
relative error = 5.257718287673554000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6999999999999 " "
y[1] (closed_form) = 3.007999999999842 " "
y[1] (numeric) = 3.0080000000000062 " "
absolute error = 1.64313007644523170000000000000E-13 " "
relative error = 5.462533498820871000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6899999999998965 " "
y[1] (closed_form) = 2.992219999999837 " "
y[1] (numeric) = 2.9922200000000068 " "
absolute error = 1.69642078162723920000000000000E-13 " "
relative error = 5.669438683075883000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.679999999999893 " "
y[1] (closed_form) = 2.9764799999998317 " "
y[1] (numeric) = 2.976480000000007 " "
absolute error = 1.75415237890774730000000000000E-13 " "
relative error = 5.893378685251863000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.66999999999989 " "
y[1] (closed_form) = 2.9607799999998274 " "
y[1] (numeric) = 2.9607800000000077 " "
absolute error = 1.80300219199125420000000000000E-13 " "
relative error = 6.08961892471362000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6599999999998865 " "
y[1] (closed_form) = 2.9451199999998225 " "
y[1] (numeric) = 2.945120000000008 " "
absolute error = 1.85629289717326170000000000000E-13 " "
relative error = 6.302944861918609000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.649999999999883 " "
y[1] (closed_form) = 2.929499999999818 " "
y[1] (numeric) = 2.9295000000000084 " "
absolute error = 1.90514271025676860000000000000E-13 " "
relative error = 6.503303329089902000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.63999999999988 " "
y[1] (closed_form) = 2.9139199999998127 " "
y[1] (numeric) = 2.913920000000009 " "
absolute error = 1.96287430753727680000000000000E-13 " "
relative error = 6.736198342910591000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.629999999999876 " "
y[1] (closed_form) = 2.8983799999998086 " "
y[1] (numeric) = 2.8983800000000093 " "
absolute error = 2.0072832285222830000000000000E-13 " "
relative error = 6.925535052416921000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.619999999999873 " "
y[1] (closed_form) = 2.882879999999804 " "
y[1] (numeric) = 2.88288000000001 " "
absolute error = 2.06057393370429050000000000000E-13 " "
relative error = 7.147622980160224000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.60999999999987 " "
y[1] (closed_form) = 2.8674199999997985 " "
y[1] (numeric) = 2.8674200000000103 " "
absolute error = 2.11830553098479870000000000000E-13 " "
relative error = 7.387496533416615000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.599999999999866 " "
y[1] (closed_form) = 2.8519999999997943 " "
y[1] (numeric) = 2.852000000000011 " "
absolute error = 2.16715534406830560000000000000E-13 " "
relative error = 7.598721402764593000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.589999999999863 " "
y[1] (closed_form) = 2.8366199999997894 " "
y[1] (numeric) = 2.8366200000000115 " "
absolute error = 2.2204460492503130000000000000E-13 " "
relative error = 7.827788174836523000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.57999999999986 " "
y[1] (closed_form) = 2.821279999999785 " "
y[1] (numeric) = 2.8212800000000122 " "
absolute error = 2.27373675443232060000000000000E-13 " "
relative error = 8.059238198379792000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.569999999999856 " "
y[1] (closed_form) = 2.8059799999997805 " "
y[1] (numeric) = 2.8059800000000124 " "
absolute error = 2.3181456754173269000000000000E-13 " "
relative error = 8.261447606246332000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.559999999999853 " "
y[1] (closed_form) = 2.7907199999997765 " "
y[1] (numeric) = 2.790720000000013 " "
absolute error = 2.36699548850083370000000000000E-13 " "
relative error = 8.48166598046749000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.54999999999985 " "
y[1] (closed_form) = 2.775499999999772 " "
y[1] (numeric) = 2.7755000000000134 " "
absolute error = 2.41584530158434060000000000000E-13 " "
relative error = 8.704180513725596000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.539999999999846 " "
y[1] (closed_form) = 2.7603199999997674 " "
y[1] (numeric) = 2.7603200000000143 " "
absolute error = 2.4691360067663481000000000000E-13 " "
relative error = 8.945107838100496000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.529999999999843 " "
y[1] (closed_form) = 2.7451799999997624 " "
y[1] (numeric) = 2.7451800000000146 " "
absolute error = 2.52242671194835570000000000000E-13 " "
relative error = 9.18856582063316000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.51999999999984 " "
y[1] (closed_form) = 2.7300799999997585 " "
y[1] (numeric) = 2.7300800000000156 " "
absolute error = 2.57127652503186250000000000000E-13 " "
relative error = 9.418319335082086000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.509999999999836 " "
y[1] (closed_form) = 2.715019999999754 " "
y[1] (numeric) = 2.715020000000016 " "
absolute error = 2.62012633811536940000000000000E-13 " "
relative error = 9.650486324651777000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.499999999999833 " "
y[1] (closed_form) = 2.6999999999997497 " "
y[1] (numeric) = 2.700000000000017 " "
absolute error = 2.6734170432973770000000000000E-13 " "
relative error = 9.901544604806017000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.48999999999983 " "
y[1] (closed_form) = 2.685019999999745 " "
y[1] (numeric) = 2.685020000000017 " "
absolute error = 2.7222668563808840000000000000E-13 " "
relative error = 1.013872096439185900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.479999999999826 " "
y[1] (closed_form) = 2.670079999999741 " "
y[1] (numeric) = 2.670080000000018 " "
absolute error = 2.77111666946439100000000000000E-13 " "
relative error = 1.03784031544547700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.469999999999823 " "
y[1] (closed_form) = 2.6551799999997368 " "
y[1] (numeric) = 2.6551800000000187 " "
absolute error = 2.81996648254789760000000000000E-13 " "
relative error = 1.062062264158428900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.45999999999982 " "
y[1] (closed_form) = 2.640319999999732 " "
y[1] (numeric) = 2.64032000000002 " "
absolute error = 2.8776980798284060000000000000E-13 " "
relative error = 1.089905041748234100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.449999999999816 " "
y[1] (closed_form) = 2.625499999999728 " "
y[1] (numeric) = 2.62550000000002 " "
absolute error = 2.9221070008134120000000000000E-13 " "
relative error = 1.11297162476241300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.439999999999813 " "
y[1] (closed_form) = 2.610719999999724 " "
y[1] (numeric) = 2.6107200000000215 " "
absolute error = 2.97539770599541950000000000000E-13 " "
relative error = 1.139684725284877100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.42999999999981 " "
y[1] (closed_form) = 2.5959799999997197 " "
y[1] (numeric) = 2.5959800000000217 " "
absolute error = 3.0198066269804260000000000000E-13 " "
relative error = 1.163262670352141300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.419999999999806 " "
y[1] (closed_form) = 2.581279999999716 " "
y[1] (numeric) = 2.5812800000000227 " "
absolute error = 3.06865644006393270000000000000E-13 " "
relative error = 1.18881192279189790000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.409999999999803 " "
y[1] (closed_form) = 2.5666199999997117 " "
y[1] (numeric) = 2.566620000000023 " "
absolute error = 3.1130653610489390000000000000E-13 " "
relative error = 1.212904661013039800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.3999999999998 " "
y[1] (closed_form) = 2.5519999999997074 " "
y[1] (numeric) = 2.5520000000000245 " "
absolute error = 3.1707969583294470000000000000E-13 " "
relative error = 1.242475297151179700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.389999999999796 " "
y[1] (closed_form) = 2.5374199999997034 " "
y[1] (numeric) = 2.537420000000025 " "
absolute error = 3.21520587931445330000000000000E-13 " "
relative error = 1.267116157086658500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.379999999999793 " "
y[1] (closed_form) = 2.522879999999699 " "
y[1] (numeric) = 2.522880000000026 " "
absolute error = 3.2684965844964610000000000000E-13 " "
relative error = 1.29554183492550200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.36999999999979 " "
y[1] (closed_form) = 2.508379999999695 " "
y[1] (numeric) = 2.5083800000000265 " "
absolute error = 3.3129055054814670000000000000E-13 " "
relative error = 1.320735098143770000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.359999999999786 " "
y[1] (closed_form) = 2.4939199999996915 " "
y[1] (numeric) = 2.4939200000000277 " "
absolute error = 3.3617553185649740000000000000E-13 " "
relative error = 1.347980415797375200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.349999999999783 " "
y[1] (closed_form) = 2.4794999999996876 " "
y[1] (numeric) = 2.4795000000000282 " "
absolute error = 3.40616423954998000000000000000E-13 " "
relative error = 1.373730284150195300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.33999999999978 " "
y[1] (closed_form) = 2.4651199999996836 " "
y[1] (numeric) = 2.465120000000029 " "
absolute error = 3.4550140526334870000000000000E-13 " "
relative error = 1.40156018880781890000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.329999999999776 " "
y[1] (closed_form) = 2.4507799999996798 " "
y[1] (numeric) = 2.4507800000000297 " "
absolute error = 3.49942297361849340000000000000E-13 " "
relative error = 1.427881316812994500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.319999999999773 " "
y[1] (closed_form) = 2.436479999999676 " "
y[1] (numeric) = 2.436480000000031 " "
absolute error = 3.5527136788005010000000000000E-13 " "
relative error = 1.45813373341910200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.30999999999977 " "
y[1] (closed_form) = 2.422219999999672 " "
y[1] (numeric) = 2.422220000000032 " "
absolute error = 3.5971225997855070000000000000E-13 " "
relative error = 1.485051977023554300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.299999999999766 " "
y[1] (closed_form) = 2.407999999999668 " "
y[1] (numeric) = 2.408000000000033 " "
absolute error = 3.6459724128690140000000000000E-13 " "
relative error = 1.514108144879367500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.289999999999763 " "
y[1] (closed_form) = 2.393819999999664 " "
y[1] (numeric) = 2.3938200000000336 " "
absolute error = 3.6948222259525210000000000000E-13 " "
relative error = 1.543483731422178600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.2799999999997596 " "
y[1] (closed_form) = 2.3796799999996603 " "
y[1] (numeric) = 2.3796800000000347 " "
absolute error = 3.7436720390360280000000000000E-13 " "
relative error = 1.57318296537205100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.269999999999756 " "
y[1] (closed_form) = 2.3655799999996567 " "
y[1] (numeric) = 2.3655800000000355 " "
absolute error = 3.7880809600210340000000000000E-13 " "
relative error = 1.601332848612849200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.259999999999753 " "
y[1] (closed_form) = 2.351519999999653 " "
y[1] (numeric) = 2.3515200000000362 " "
absolute error = 3.83248988100604040000000000000E-13 " "
relative error = 1.629792594154676800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.2499999999997495 " "
y[1] (closed_form) = 2.3374999999996495 " "
y[1] (numeric) = 2.337500000000037 " "
absolute error = 3.87689880199104660000000000000E-13 " "
relative error = 1.658566332402835500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.239999999999746 " "
y[1] (closed_form) = 2.323519999999646 " "
y[1] (numeric) = 2.3235200000000384 " "
absolute error = 3.92574861507455350000000000000E-13 " "
relative error = 1.689569538921615300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.229999999999743 " "
y[1] (closed_form) = 2.309579999999642 " "
y[1] (numeric) = 2.3095800000000395 " "
absolute error = 3.97459842815806040000000000000E-13 " "
relative error = 1.72091827438697800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.2199999999997395 " "
y[1] (closed_form) = 2.2956799999996385 " "
y[1] (numeric) = 2.2956800000000404 " "
absolute error = 4.01900734914306670000000000000E-13 " "
relative error = 1.75068273851046290000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.209999999999736 " "
y[1] (closed_form) = 2.2818199999996347 " "
y[1] (numeric) = 2.2818200000000415 " "
absolute error = 4.06785716222657360000000000000E-13 " "
relative error = 1.78272482589653200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.199999999999733 " "
y[1] (closed_form) = 2.267999999999631 " "
y[1] (numeric) = 2.2680000000000424 " "
absolute error = 4.112266083211580000000000000E-13 " "
relative error = 1.81316846702480100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1899999999997295 " "
y[1] (closed_form) = 2.254219999999628 " "
y[1] (numeric) = 2.2542200000000436 " "
absolute error = 4.1566750041965860000000000000E-13 " "
relative error = 1.843952677288495400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.179999999999726 " "
y[1] (closed_form) = 2.240479999999624 " "
y[1] (numeric) = 2.2404800000000447 " "
absolute error = 4.2055248172800930000000000000E-13 " "
relative error = 1.877064208241447700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.169999999999723 " "
y[1] (closed_form) = 2.226779999999621 " "
y[1] (numeric) = 2.226780000000046 " "
absolute error = 4.2499337382650990000000000000E-13 " "
relative error = 1.908555734408348400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1599999999997195 " "
y[1] (closed_form) = 2.213119999999617 " "
y[1] (numeric) = 2.213120000000047 " "
absolute error = 4.2987835513486060000000000000E-13 " "
relative error = 1.942408704159444300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.149999999999716 " "
y[1] (closed_form) = 2.199499999999614 " "
y[1] (numeric) = 2.1995000000000484 " "
absolute error = 4.34319247233361240000000000000E-13 " "
relative error = 1.97462717541912890000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.139999999999713 " "
y[1] (closed_form) = 2.1859199999996104 " "
y[1] (numeric) = 2.185920000000049 " "
absolute error = 4.38760139331861860000000000000E-13 " "
relative error = 2.00721041635531100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1299999999997095 " "
y[1] (closed_form) = 2.1723799999996074 " "
y[1] (numeric) = 2.1723800000000506 " "
absolute error = 4.4320103143036250000000000000E-13 " "
relative error = 2.04016346785756920000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.119999999999706 " "
y[1] (closed_form) = 2.158879999999604 " "
y[1] (numeric) = 2.1588800000000514 " "
absolute error = 4.4764192352886310000000000000E-13 " "
relative error = 2.073491456352114200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.109999999999703 " "
y[1] (closed_form) = 2.1454199999996004 " "
y[1] (numeric) = 2.145420000000053 " "
absolute error = 4.5252690483721380000000000000E-13 " "
relative error = 2.10926953620875200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.099999999999700 " "
y[1] (closed_form) = 2.1319999999995973 " "
y[1] (numeric) = 2.132000000000054 " "
absolute error = 4.5652370772586437000000000000E-13 " "
relative error = 2.141293188208023600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.089999999999696 " "
y[1] (closed_form) = 2.118619999999594 " "
y[1] (numeric) = 2.1186200000000555 " "
absolute error = 4.6140868903421506000000000000E-13 " "
relative error = 2.177873752887745400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.079999999999693 " "
y[1] (closed_form) = 2.1052799999995906 " "
y[1] (numeric) = 2.1052800000000564 " "
absolute error = 4.6584958113271570000000000000E-13 " "
relative error = 2.21276780823836400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.069999999999690 " "
y[1] (closed_form) = 2.0919799999995874 " "
y[1] (numeric) = 2.091980000000058 " "
absolute error = 4.7073456244106640000000000000E-13 " "
relative error = 2.25018672473522300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.059999999999686 " "
y[1] (closed_form) = 2.0787199999995845 " "
y[1] (numeric) = 2.0787200000000587 " "
absolute error = 4.7428727611986690000000000000E-13 " "
relative error = 2.28163136988128120000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.049999999999683 " "
y[1] (closed_form) = 2.0654999999995813 " "
y[1] (numeric) = 2.0655000000000605 " "
absolute error = 4.7917225742821756000000000000E-13 " "
relative error = 2.319885051698449300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.039999999999680 " "
y[1] (closed_form) = 2.052319999999578 " "
y[1] (numeric) = 2.052320000000061 " "
absolute error = 4.8316906031686810000000000000E-13 " "
relative error = 2.35425791454045900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.029999999999676 " "
y[1] (closed_form) = 2.039179999999575 " "
y[1] (numeric) = 2.039180000000063 " "
absolute error = 4.8805404162521880000000000000E-13 " "
relative error = 2.393383819110233300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.019999999999673 " "
y[1] (closed_form) = 2.026079999999572 " "
y[1] (numeric) = 2.026080000000064 " "
absolute error = 4.9205084451386940000000000000E-13 " "
relative error = 2.428585468066282700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.009999999999670 " "
y[1] (closed_form) = 2.013019999999569 " "
y[1] (numeric) = 2.0130200000000658 " "
absolute error = 4.9693582582222007000000000000E-13 " "
relative error = 2.468608487855692100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9999999999996665 " "
y[1] (closed_form) = 1.9999999999995666 " "
y[1] (numeric) = 2.0000000000000666 " "
absolute error = 5.0004445029117050000000000000E-13 " "
relative error = 2.500222251456394300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9899999999996676 " "
y[1] (closed_form) = 1.9870199999995695 " "
y[1] (numeric) = 1.9870200000000675 " "
absolute error = 4.9804604884684520000000000000E-13 " "
relative error = 2.506497412441511000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9799999999996687 " "
y[1] (closed_form) = 1.9740799999995722 " "
y[1] (numeric) = 1.9740800000000691 " "
absolute error = 4.9693582582222007000000000000E-13 " "
relative error = 2.51730338092847200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.96999999999967 " "
y[1] (closed_form) = 1.9611799999995747 " "
y[1] (numeric) = 1.96118000000007 " "
absolute error = 4.9538151358774485000000000000E-13 " "
relative error = 2.525935985416189500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.959999999999671 " "
y[1] (closed_form) = 1.9483199999995775 " "
y[1] (numeric) = 1.9483200000000718 " "
absolute error = 4.9427129056311970000000000000E-13 " "
relative error = 2.53691021271262900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.949999999999672 " "
y[1] (closed_form) = 1.9354999999995806 " "
y[1] (numeric) = 1.9355000000000728 " "
absolute error = 4.9227288911879440000000000000E-13 " "
relative error = 2.543388732208220500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.939999999999673 " "
y[1] (closed_form) = 1.922719999999583 " "
y[1] (numeric) = 1.9227200000000744 " "
absolute error = 4.9138471069909430000000000000E-13 " "
relative error = 2.555674828884086000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.929999999999674 " "
y[1] (closed_form) = 1.9099799999995857 " "
y[1] (numeric) = 1.9099800000000755 " "
absolute error = 4.8983039846461907000000000000E-13 " "
relative error = 2.564583914306565000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9199999999996753 " "
y[1] (closed_form) = 1.8972799999995886 " "
y[1] (numeric) = 1.897280000000077 " "
absolute error = 4.8827608623014385000000000000E-13 " "
relative error = 2.573558390064986700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9099999999996764 " "
y[1] (closed_form) = 1.8846199999995914 " "
y[1] (numeric) = 1.8846200000000781 " "
absolute error = 4.8672177399566860000000000000E-13 " "
relative error = 2.582599006673887400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8999999999996775 " "
y[1] (closed_form) = 1.871999999999594 " "
y[1] (numeric) = 1.8720000000000794 " "
absolute error = 4.8538950636611844000000000000E-13 " "
relative error = 2.59289266221273400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8899999999996786 " "
y[1] (closed_form) = 1.8594199999995964 " "
y[1] (numeric) = 1.8594200000000807 " "
absolute error = 4.8427928334149330000000000000E-13 " "
relative error = 2.604464205728659300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8799999999996797 " "
y[1] (closed_form) = 1.846879999999599 " "
y[1] (numeric) = 1.846880000000082 " "
absolute error = 4.8294701571194310000000000000E-13 " "
relative error = 2.614934460885644500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.869999999999681 " "
y[1] (closed_form) = 1.834379999999602 " "
y[1] (numeric) = 1.8343800000000834 " "
absolute error = 4.8139270347746790000000000000E-13 " "
relative error = 2.62428015720609860000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.859999999999682 " "
y[1] (closed_form) = 1.8219199999996043 " "
y[1] (numeric) = 1.8219200000000846 " "
absolute error = 4.8028248045284270000000000000E-13 " "
relative error = 2.636133751498128700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.849999999999683 " "
y[1] (closed_form) = 1.8094999999996073 " "
y[1] (numeric) = 1.809500000000086 " "
absolute error = 4.7872816821836750000000000000E-13 " "
relative error = 2.645637845915841000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.839999999999684 " "
y[1] (closed_form) = 1.7971199999996097 " "
y[1] (numeric) = 1.797120000000087 " "
absolute error = 4.7739590058881730000000000000E-13 " "
relative error = 2.65644976734397800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.829999999999685 " "
y[1] (closed_form) = 1.7847799999996123 " "
y[1] (numeric) = 1.7847800000000886 " "
absolute error = 4.7628567756419216000000000000E-13 " "
relative error = 2.66859600378923800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8199999999996863 " "
y[1] (closed_form) = 1.7724799999996148 " "
y[1] (numeric) = 1.7724800000000895 " "
absolute error = 4.7473136532971694000000000000E-13 " "
relative error = 2.67834539927006300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8099999999996874 " "
y[1] (closed_form) = 1.7602199999996175 " "
y[1] (numeric) = 1.7602200000000912 " "
absolute error = 4.7362114230509180000000000000E-13 " "
relative error = 2.690692881033023000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7999999999996885 " "
y[1] (closed_form) = 1.74799999999962 " "
y[1] (numeric) = 1.748000000000092 " "
absolute error = 4.7184478546569153000000000000E-13 " "
relative error = 2.699340877950767000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7899999999996896 " "
y[1] (closed_form) = 1.7358199999996229 " "
y[1] (numeric) = 1.7358200000000936 " "
absolute error = 4.7073456244106640000000000000E-13 " "
relative error = 2.711885808673530000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7799999999996907 " "
y[1] (closed_form) = 1.7236799999996255 " "
y[1] (numeric) = 1.7236800000000945 " "
absolute error = 4.6895820560166610000000000000E-13 " "
relative error = 2.720680205152743400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.769999999999692 " "
y[1] (closed_form) = 1.711579999999628 " "
y[1] (numeric) = 1.7115800000000962 " "
absolute error = 4.682920717868910300000000000E-13 " "
relative error = 2.736022106982979300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.759999999999693 " "
y[1] (closed_form) = 1.6995199999996307 " "
y[1] (numeric) = 1.699520000000097 " "
absolute error = 4.6629367034256575000000000000E-13 " "
relative error = 2.743678628922679000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.749999999999694 " "
y[1] (closed_form) = 1.6874999999996332 " "
y[1] (numeric) = 1.6875000000000986 " "
absolute error = 4.6540549192286560000000000000E-13 " "
relative error = 2.757958470654618400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.739999999999695 " "
y[1] (closed_form) = 1.6755199999996355 " "
y[1] (numeric) = 1.6755200000000994 " "
absolute error = 4.6385117968839040000000000000E-13 " "
relative error = 2.768401330264582700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7299999999996962 " "
y[1] (closed_form) = 1.6635799999996381 " "
y[1] (numeric) = 1.6635800000001009 " "
absolute error = 4.6274095666376525000000000000E-13 " "
relative error = 2.781597258105206000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7199999999996973 " "
y[1] (closed_form) = 1.6516799999996405 " "
y[1] (numeric) = 1.6516800000001017 " "
absolute error = 4.61186644429290000000000000E-13 " "
relative error = 2.792227576948261300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7099999999996984 " "
y[1] (closed_form) = 1.6398199999996432 " "
y[1] (numeric) = 1.6398200000001033 " "
absolute error = 4.6007642140466487000000000000E-13 " "
relative error = 2.805651970367265500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6999999999996995 " "
y[1] (closed_form) = 1.6279999999996457 " "
y[1] (numeric) = 1.6280000000001043 " "
absolute error = 4.5852210917018965000000000000E-13 " "
relative error = 2.816474872053375000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6899999999997006 " "
y[1] (closed_form) = 1.616219999999648 " "
y[1] (numeric) = 1.6162200000001057 " "
absolute error = 4.5763393075048950000000000000E-13 " "
relative error = 2.831507658305114600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6799999999997017 " "
y[1] (closed_form) = 1.6044799999996506 " "
y[1] (numeric) = 1.6044800000001067 " "
absolute error = 4.5607961851601430000000000000E-13 " "
relative error = 2.842538507903580300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.669999999999703 " "
y[1] (closed_form) = 1.592779999999653 " "
y[1] (numeric) = 1.592780000000108 " "
absolute error = 4.5496939549138915000000000000E-13 " "
relative error = 2.856448445431813000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.659999999999704 " "
y[1] (closed_form) = 1.5811199999996557 " "
y[1] (numeric) = 1.581120000000109 " "
absolute error = 4.53415083256913930000000000000E-13 " "
relative error = 2.867682928917556500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.649999999999705 " "
y[1] (closed_form) = 1.5694999999996582 " "
y[1] (numeric) = 1.5695000000001103 " "
absolute error = 4.52082815627363740000000000000E-13 " "
relative error = 2.880425712822314300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.639999999999706 " "
y[1] (closed_form) = 1.5579199999996605 " "
y[1] (numeric) = 1.5579200000001114 " "
absolute error = 4.5097259260273860000000000000E-13 " "
relative error = 2.89470956533606900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6299999999997072 " "
y[1] (closed_form) = 1.546379999999663 " "
y[1] (numeric) = 1.5463800000001127 " "
absolute error = 4.4964032497318840000000000000E-13 " "
relative error = 2.907696199985038700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6199999999997083 " "
y[1] (closed_form) = 1.5348799999996654 " "
y[1] (numeric) = 1.534880000000114 " "
absolute error = 4.48530101948563240000000000000E-13 " "
relative error = 2.92224865754105200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6099999999997094 " "
y[1] (closed_form) = 1.5234199999996676 " "
y[1] (numeric) = 1.523420000000115 " "
absolute error = 4.4741987892393810000000000000E-13 " "
relative error = 2.93694371167528100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5999999999997105 " "
y[1] (closed_form) = 1.51199999999967 " "
y[1] (numeric) = 1.5120000000001164 " "
absolute error = 4.46309655899312930000000000000E-13 " "
relative error = 2.951783438488163600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5899999999997116 " "
y[1] (closed_form) = 1.5006199999996728 " "
y[1] (numeric) = 1.5006200000001173 " "
absolute error = 4.4453329905991270000000000000E-13 " "
relative error = 2.96233089696265300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5799999999997127 " "
y[1] (closed_form) = 1.4892799999996749 " "
y[1] (numeric) = 1.4892800000001187 " "
absolute error = 4.4386716524513760000000000000E-13 " "
relative error = 2.980414463668581400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.569999999999714 " "
y[1] (closed_form) = 1.4779799999996772 " "
y[1] (numeric) = 1.4779800000001195 " "
absolute error = 4.42312853010662370000000000000E-13 " "
relative error = 2.99268496874625500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.559999999999715 " "
y[1] (closed_form) = 1.4667199999996798 " "
y[1] (numeric) = 1.466720000000121 " "
absolute error = 4.4120262998603720000000000000E-13 " "
relative error = 3.00809036480128130000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.549999999999716 " "
y[1] (closed_form) = 1.4554999999996823 " "
y[1] (numeric) = 1.4555000000001217 " "
absolute error = 4.39426273146636960000000000000E-13 " "
relative error = 3.019074360334818600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.539999999999717 " "
y[1] (closed_form) = 1.4443199999996845 " "
y[1] (numeric) = 1.4443200000001233 " "
absolute error = 4.38760139331861860000000000000E-13 " "
relative error = 3.037831916278648000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5299999999997183 " "
y[1] (closed_form) = 1.433179999999687 " "
y[1] (numeric) = 1.433180000000124 " "
absolute error = 4.3698378249246160000000000000E-13 " "
relative error = 3.04905024136924200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5199999999997194 " "
y[1] (closed_form) = 1.4220799999996894 " "
y[1] (numeric) = 1.4220800000001257 " "
absolute error = 4.3631764867768650000000000000E-13 " "
relative error = 3.06816528379403260000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5099999999997205 " "
y[1] (closed_form) = 1.4110199999996915 " "
y[1] (numeric) = 1.4110200000001263 " "
absolute error = 4.3476333644321130000000000000E-13 " "
relative error = 3.081198965594438000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4999999999997216 " "
y[1] (closed_form) = 1.399999999999694 " "
y[1] (numeric) = 1.4000000000001278 " "
absolute error = 4.3387515802351120000000000000E-13 " "
relative error = 3.09910827159718570000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4899999999997227 " "
y[1] (closed_form) = 1.3890199999996962 " "
y[1] (numeric) = 1.3890200000001285 " "
absolute error = 4.32320845789035960000000000000E-13 " "
relative error = 3.11241627758513550000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4799999999997238 " "
y[1] (closed_form) = 1.3780799999996987 " "
y[1] (numeric) = 1.3780800000001299 " "
absolute error = 4.3121062276441080000000000000E-13 " "
relative error = 3.12906814382695600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.469999999999725 " "
y[1] (closed_form) = 1.367179999999701 " "
y[1] (numeric) = 1.3671800000001306 " "
absolute error = 4.2965631052993560000000000000E-13 " "
relative error = 3.142646253821952000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.459999999999726 " "
y[1] (closed_form) = 1.356319999999703 " "
y[1] (numeric) = 1.356320000000132 " "
absolute error = 4.2899017671516050000000000000E-13 " "
relative error = 3.16289796445716700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.449999999999727 " "
y[1] (closed_form) = 1.3454999999997055 " "
y[1] (numeric) = 1.345500000000133 " "
absolute error = 4.27435864480685270000000000000E-13 " "
relative error = 3.1767808582740903000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.439999999999728 " "
y[1] (closed_form) = 1.3347199999997077 " "
y[1] (numeric) = 1.3347200000001342 " "
absolute error = 4.26547686060985140000000000000E-13 " "
relative error = 3.195784030066819400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4299999999997293 " "
y[1] (closed_form) = 1.3239799999997102 " "
y[1] (numeric) = 1.3239800000001352 " "
absolute error = 4.2499337382650990000000000000E-13 " "
relative error = 3.209968230838856600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4199999999997304 " "
y[1] (closed_form) = 1.3132799999997125 " "
y[1] (numeric) = 1.3132800000001363 " "
absolute error = 4.23883150801884770000000000000E-13 " "
relative error = 3.22766775403552640000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4099999999997315 " "
y[1] (closed_form) = 1.3026199999997146 " "
y[1] (numeric) = 1.3026200000001373 " "
absolute error = 4.2277292777725960000000000000E-13 " "
relative error = 3.24555839598157760000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3999999999997326 " "
y[1] (closed_form) = 1.291999999999717 " "
y[1] (numeric) = 1.2920000000001384 " "
absolute error = 4.2144066014770940000000000000E-13 " "
relative error = 3.261924614147072600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3899999999997337 " "
y[1] (closed_form) = 1.2814199999997191 " "
y[1] (numeric) = 1.2814200000001394 " "
absolute error = 4.20330437123084270000000000000E-13 " "
relative error = 3.28019257638538800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3799999999997348 " "
y[1] (closed_form) = 1.2708799999997211 " "
y[1] (numeric) = 1.2708800000001406 " "
absolute error = 4.19442258703384140000000000000E-13 " "
relative error = 3.300408053502110000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.369999999999736 " "
y[1] (closed_form) = 1.2603799999997234 " "
y[1] (numeric) = 1.2603800000001417 " "
absolute error = 4.183320356787590000000000000E-13 " "
relative error = 3.319094524499363600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.359999999999737 " "
y[1] (closed_form) = 1.2499199999997255 " "
y[1] (numeric) = 1.2499200000001427 " "
absolute error = 4.17221812654133830000000000000E-13 " "
relative error = 3.337988132474282700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.349999999999738 " "
y[1] (closed_form) = 1.2394999999997278 " "
y[1] (numeric) = 1.239500000000144 " "
absolute error = 4.16111589629508670000000000000E-13 " "
relative error = 3.357092292292054000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.339999999999739 " "
y[1] (closed_form) = 1.22911999999973 " "
y[1] (numeric) = 1.2291200000001448 " "
absolute error = 4.1477932199995850000000000000E-13 " "
relative error = 3.3746039605575500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3299999999997403 " "
y[1] (closed_form) = 1.218779999999732 " "
y[1] (numeric) = 1.218780000000146 " "
absolute error = 4.1411318818518340000000000000E-13 " "
relative error = 3.397768163124390600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3199999999997414 " "
y[1] (closed_form) = 1.2084799999997342 " "
y[1] (numeric) = 1.2084800000001468 " "
absolute error = 4.12558875950708170000000000000E-13 " "
relative error = 3.41386597999800500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3099999999997425 " "
y[1] (closed_form) = 1.1982199999997367 " "
y[1] (numeric) = 1.1982200000001482 " "
absolute error = 4.114486529260830000000000000E-13 " "
relative error = 3.43383229228500100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2999999999997436 " "
y[1] (closed_form) = 1.1879999999997386 " "
y[1] (numeric) = 1.1880000000001487 " "
absolute error = 4.10116385296532800000000000000E-13 " "
relative error = 3.4521581253924500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2899999999997447 " "
y[1] (closed_form) = 1.1778199999997407 " "
y[1] (numeric) = 1.1778200000001502 " "
absolute error = 4.09450251481757730000000000000E-13 " "
relative error = 3.47633977587278100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.279999999999746 " "
y[1] (closed_form) = 1.1676799999997431 " "
y[1] (numeric) = 1.1676800000001508 " "
absolute error = 4.0767389464235750000000000000E-13 " "
relative error = 3.491315211722793600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.269999999999747 " "
y[1] (closed_form) = 1.157579999999745 " "
y[1] (numeric) = 1.1575800000001524 " "
absolute error = 4.07451850037432450000000000000E-13 " "
relative error = 3.519859102934762600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.259999999999748 " "
y[1] (closed_form) = 1.147519999999747 " "
y[1] (numeric) = 1.1475200000001529 " "
absolute error = 4.05897537802957230000000000000E-13 " "
relative error = 3.53717179485365600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.249999999999749 " "
y[1] (closed_form) = 1.1374999999997493 " "
y[1] (numeric) = 1.1375000000001543 " "
absolute error = 4.0500935938325710000000000000E-13 " "
relative error = 3.56052184073271600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.23999999999975 " "
y[1] (closed_form) = 1.1275199999997514 " "
y[1] (numeric) = 1.1275200000001548 " "
absolute error = 4.0345504714878190000000000000E-13 " "
relative error = 3.578251801731861500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2299999999997513 " "
y[1] (closed_form) = 1.1175799999997533 " "
y[1] (numeric) = 1.1175800000001561 " "
absolute error = 4.0278891333400680000000000000E-13 " "
relative error = 3.60411705053862550000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2199999999997524 " "
y[1] (closed_form) = 1.1076799999997555 " "
y[1] (numeric) = 1.1076800000001568 " "
absolute error = 4.01234601099531600000000000000E-13 " "
relative error = 3.62229706322782900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2099999999997535 " "
y[1] (closed_form) = 1.0978199999997575 " "
y[1] (numeric) = 1.0978200000001581 " "
absolute error = 4.0056846728475650000000000000E-13 " "
relative error = 3.648762705041308500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1999999999997546 " "
y[1] (closed_form) = 1.0879999999997598 " "
y[1] (numeric) = 1.0880000000001588 " "
absolute error = 3.99014155050281260000000000000E-13 " "
relative error = 3.667409513330600600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1899999999997557 " "
y[1] (closed_form) = 1.078219999999762 " "
y[1] (numeric) = 1.07822000000016 " "
absolute error = 3.98125976630581140000000000000E-13 " "
relative error = 3.69243731919894900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.179999999999757 " "
y[1] (closed_form) = 1.0684799999997638 " "
y[1] (numeric) = 1.0684800000001609 " "
absolute error = 3.970157536059560000000000000E-13 " "
relative error = 3.71570598987387400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.169999999999758 " "
y[1] (closed_form) = 1.058779999999766 " "
y[1] (numeric) = 1.058780000000162 " "
absolute error = 3.9590553058133080000000000000E-13 " "
relative error = 3.73926151402008300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.159999999999759 " "
y[1] (closed_form) = 1.0491199999997676 " "
y[1] (numeric) = 1.0491200000001628 " "
absolute error = 3.95239396766555730000000000000E-13 " "
relative error = 3.767342122604118700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.14999999999976 " "
y[1] (closed_form) = 1.0394999999997698 " "
y[1] (numeric) = 1.0395000000001637 " "
absolute error = 3.93907129137005540000000000000E-13 " "
relative error = 3.78939037168920400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.139999999999761 " "
y[1] (closed_form) = 1.029919999999772 " "
y[1] (numeric) = 1.0299200000001647 " "
absolute error = 3.9279690611238040000000000000E-13 " "
relative error = 3.81385841727966600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1299999999997623 " "
y[1] (closed_form) = 1.0203799999997738 " "
y[1] (numeric) = 1.0203800000001657 " "
absolute error = 3.91908727692680260000000000000E-13 " "
relative error = 3.840811537787560700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1199999999997634 " "
y[1] (closed_form) = 1.010879999999776 " "
y[1] (numeric) = 1.0108800000001668 " "
absolute error = 3.9079850466805510000000000000E-13 " "
relative error = 3.86592379578329500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1099999999997645 " "
y[1] (closed_form) = 1.001419999999778 " "
y[1] (numeric) = 1.0014200000001676 " "
absolute error = 3.89688281643429950000000000000E-13 " "
relative error = 3.8913570893682603000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0999999999997656 " "
y[1] (closed_form) = 0.9919999999997798 " "
y[1] (numeric) = 0.9920000000001685 " "
absolute error = 3.8868908092126730000000000000E-13 " "
relative error = 3.918236702836226000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0899999999997667 " "
y[1] (closed_form) = 0.9826199999997817 " "
y[1] (numeric) = 0.9826200000001695 " "
absolute error = 3.8780090250156720000000000000E-13 " "
relative error = 3.94660094951917700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.079999999999768 " "
y[1] (closed_form) = 0.9732799999997838 " "
y[1] (numeric) = 0.9732800000001703 " "
absolute error = 3.8657965717447950000000000000E-13 " "
relative error = 3.971926446393282400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.069999999999769 " "
y[1] (closed_form) = 0.9639799999997857 " "
y[1] (numeric) = 0.9639800000001713 " "
absolute error = 3.85580456452316870000000000000E-13 " "
relative error = 3.99988025117121300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.05999999999977 " "
y[1] (closed_form) = 0.9547199999997876 " "
y[1] (numeric) = 0.9547200000001722 " "
absolute error = 3.84581255730154200000000000000E-13 " "
relative error = 4.02820990164906700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.049999999999771 " "
y[1] (closed_form) = 0.9454999999997896 " "
y[1] (numeric) = 0.9455000000001731 " "
absolute error = 3.83471032705529070000000000000E-13 " "
relative error = 4.05574862724076600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.039999999999772 " "
y[1] (closed_form) = 0.9363199999997914 " "
y[1] (numeric) = 0.936320000000174 " "
absolute error = 3.82582854285828940000000000000E-13 " "
relative error = 4.08602672468722400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0299999999997733 " "
y[1] (closed_form) = 0.9271799999997933 " "
y[1] (numeric) = 0.9271800000001749 " "
absolute error = 3.8158365356366630000000000000E-13 " "
relative error = 4.11552938548880860000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0199999999997744 " "
y[1] (closed_form) = 0.9180799999997952 " "
y[1] (numeric) = 0.9180800000001758 " "
absolute error = 3.80584452841503660000000000000E-13 " "
relative error = 4.1454388815962500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0099999999997755 " "
y[1] (closed_form) = 0.9090199999997971 " "
y[1] (numeric) = 0.9090200000001767 " "
absolute error = 3.795852521193410000000000000E-13 " "
relative error = 4.175763482865346000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9999999999997766 " "
y[1] (closed_form) = 0.8999999999997991 " "
y[1] (numeric) = 0.9000000000001775 " "
absolute error = 3.78475029094715860000000000000E-13 " "
relative error = 4.20527810105333740000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9899999999997777 " "
y[1] (closed_form) = 0.8910199999998009 " "
y[1] (numeric) = 0.8910200000001784 " "
absolute error = 3.77586850675015740000000000000E-13 " "
relative error = 4.23769220303809300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.979999999999779 " "
y[1] (closed_form) = 0.8820799999998029 " "
y[1] (numeric) = 0.8820800000001794 " "
absolute error = 3.7647662765039060000000000000E-13 " "
relative error = 4.26805536516500400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.96999999999978 " "
y[1] (closed_form) = 0.8731799999998046 " "
y[1] (numeric) = 0.8731800000001803 " "
absolute error = 3.75699471533153000000000000000E-13 " "
relative error = 4.302657774264607700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.959999999999781 " "
y[1] (closed_form) = 0.8643199999998065 " "
y[1] (numeric) = 0.8643200000001812 " "
absolute error = 3.74700270810990330000000000000E-13 " "
relative error = 4.33520305918032900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.949999999999782 " "
y[1] (closed_form) = 0.8554999999998084 " "
y[1] (numeric) = 0.855500000000182 " "
absolute error = 3.7359004778636520000000000000E-13 " "
relative error = 4.366920488444755400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9399999999997832 " "
y[1] (closed_form) = 0.8467199999998102 " "
y[1] (numeric) = 0.8467200000001829 " "
absolute error = 3.72701869366665050000000000000E-13 " "
relative error = 4.40171330979247700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9299999999997843 " "
y[1] (closed_form) = 0.837979999999812 " "
y[1] (numeric) = 0.8379800000001838 " "
absolute error = 3.71813690946964900000000000000E-13 " "
relative error = 4.43702344861510200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9199999999997854 " "
y[1] (closed_form) = 0.8292799999998138 " "
y[1] (numeric) = 0.8292800000001846 " "
absolute error = 3.7081449022480230000000000000E-13 " "
relative error = 4.47152337238189200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9099999999997865 " "
y[1] (closed_form) = 0.8206199999998157 " "
y[1] (numeric) = 0.8206200000001855 " "
absolute error = 3.69815289502639640000000000000E-13 " "
relative error = 4.506535174657243500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8999999999997876 " "
y[1] (closed_form) = 0.8119999999998174 " "
y[1] (numeric) = 0.8120000000001865 " "
absolute error = 3.69038133385402030000000000000E-13 " "
relative error = 4.54480459834341160000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8899999999997887 " "
y[1] (closed_form) = 0.8034199999998192 " "
y[1] (numeric) = 0.8034200000001873 " "
absolute error = 3.6814995496570190000000000000E-13 " "
relative error = 4.58228516797919800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.87999999999979 " "
y[1] (closed_form) = 0.794879999999821 " "
y[1] (numeric) = 0.7948800000001881 " "
absolute error = 3.67150754243539270000000000000E-13 " "
relative error = 4.618945680399833600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.869999999999791 " "
y[1] (closed_form) = 0.7863799999998228 " "
y[1] (numeric) = 0.7863800000001889 " "
absolute error = 3.66151553521376600000000000000E-13 " "
relative error = 4.65616563902259860000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.859999999999792 " "
y[1] (closed_form) = 0.7779199999998246 " "
y[1] (numeric) = 0.7779200000001898 " "
absolute error = 3.651523527992140000000000000E-13 " "
relative error = 4.693957640879477500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.849999999999793 " "
y[1] (closed_form) = 0.7694999999998263 " "
y[1] (numeric) = 0.7695000000001906 " "
absolute error = 3.64264174379513860000000000000E-13 " "
relative error = 4.73377744482905870000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8399999999997942 " "
y[1] (closed_form) = 0.761119999999828 " "
y[1] (numeric) = 0.7611200000001914 " "
absolute error = 3.63375995959813740000000000000E-13 " "
relative error = 4.77422740119686550000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8299999999997953 " "
y[1] (closed_form) = 0.7527799999998298 " "
y[1] (numeric) = 0.7527800000001922 " "
absolute error = 3.6237679523765110000000000000E-13 " "
relative error = 4.813847275933646500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8199999999997964 " "
y[1] (closed_form) = 0.7444799999998316 " "
y[1] (numeric) = 0.744480000000193 " "
absolute error = 3.61377594515488450000000000000E-13 " "
relative error = 4.854094059149610700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8099999999997975 " "
y[1] (closed_form) = 0.7362199999998332 " "
y[1] (numeric) = 0.7362200000001938 " "
absolute error = 3.60600438398250840000000000000E-13 " "
relative error = 4.89799840262873200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7999999999997986 " "
y[1] (closed_form) = 0.7279999999998349 " "
y[1] (numeric) = 0.7280000000001946 " "
absolute error = 3.5971225997855070000000000000E-13 " "
relative error = 4.9411024722339600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7899999999997998 " "
y[1] (closed_form) = 0.7198199999998366 " "
y[1] (numeric) = 0.7198200000001954 " "
absolute error = 3.5882408155885060000000000000E-13 " "
relative error = 4.98491402793659600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.779999999999801 " "
y[1] (closed_form) = 0.7116799999998383 " "
y[1] (numeric) = 0.7116800000001962 " "
absolute error = 3.57824880836687950000000000000E-13 " "
relative error = 5.02789007470730200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.769999999999802 " "
y[1] (closed_form) = 0.7035799999998401 " "
y[1] (numeric) = 0.7035800000001969 " "
absolute error = 3.5682568011452530000000000000E-13 " "
relative error = 5.071572246434043000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.759999999999803 " "
y[1] (closed_form) = 0.6955199999998417 " "
y[1] (numeric) = 0.6955200000001978 " "
absolute error = 3.5604852399728770000000000000E-13 " "
relative error = 5.11917017479538500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.749999999999804 " "
y[1] (closed_form) = 0.6874999999998433 " "
y[1] (numeric) = 0.6875000000001985 " "
absolute error = 3.5516034557758760000000000000E-13 " "
relative error = 5.16596866294790500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7399999999998053 " "
y[1] (closed_form) = 0.679519999999845 " "
y[1] (numeric) = 0.6795200000001993 " "
absolute error = 3.54272167157887450000000000000E-13 " "
relative error = 5.21356497465811600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7299999999998064 " "
y[1] (closed_form) = 0.6715799999998467 " "
y[1] (numeric) = 0.6715800000002001 " "
absolute error = 3.53383988738187300000000000000E-13 " "
relative error = 5.261979045508620000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7199999999998075 " "
y[1] (closed_form) = 0.6636799999998483 " "
y[1] (numeric) = 0.6636800000002009 " "
absolute error = 3.5260683262094970000000000000E-13 " "
relative error = 5.31290430058206200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7099999999998086 " "
y[1] (closed_form) = 0.6558199999998501 " "
y[1] (numeric) = 0.6558200000002017 " "
absolute error = 3.5160763189878710000000000000E-13 " "
relative error = 5.36134353784372900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6999999999998097 " "
y[1] (closed_form) = 0.6479999999998517 " "
y[1] (numeric) = 0.6480000000002024 " "
absolute error = 3.50719453479086950000000000000E-13 " "
relative error = 5.41233724504887700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6899999999998108 " "
y[1] (closed_form) = 0.6402199999998531 " "
y[1] (numeric) = 0.6402200000002032 " "
absolute error = 3.50053319664311860000000000000E-13 " "
relative error = 5.46770359664478100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.679999999999812 " "
y[1] (closed_form) = 0.6324799999998548 " "
y[1] (numeric) = 0.632480000000204 " "
absolute error = 3.49165141244611730000000000000E-13 " "
relative error = 5.5205720535778500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.669999999999813 " "
y[1] (closed_form) = 0.6247799999998563 " "
y[1] (numeric) = 0.6247800000002047 " "
absolute error = 3.4838798512737410000000000000E-13 " "
relative error = 5.57617057408134400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.659999999999814 " "
y[1] (closed_form) = 0.6171199999998581 " "
y[1] (numeric) = 0.6171200000002055 " "
absolute error = 3.4738878440521150000000000000E-13 " "
relative error = 5.62919342113837400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.649999999999815 " "
y[1] (closed_form) = 0.6094999999998597 " "
y[1] (numeric) = 0.6095000000002063 " "
absolute error = 3.46611628287973870000000000000E-13 " "
relative error = 5.686819167974629000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6399999999998163 " "
y[1] (closed_form) = 0.6019199999998611 " "
y[1] (numeric) = 0.6019200000002071 " "
absolute error = 3.4594549447319880000000000000E-13 " "
relative error = 5.747366667884082000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6299999999998174 " "
y[1] (closed_form) = 0.5943799999998628 " "
y[1] (numeric) = 0.5943800000002077 " "
absolute error = 3.44946293751036140000000000000E-13 " "
relative error = 5.80346400873373500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6199999999998185 " "
y[1] (closed_form) = 0.5868799999998643 " "
y[1] (numeric) = 0.5868800000002085 " "
absolute error = 3.44169137633798500000000000000E-13 " "
relative error = 5.86438688716395300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6099999999998196 " "
y[1] (closed_form) = 0.5794199999998658 " "
y[1] (numeric) = 0.5794200000002092 " "
absolute error = 3.4339198151656090000000000000E-13 " "
relative error = 5.9264778833426600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5999999999998207 " "
y[1] (closed_form) = 0.5719999999998674 " "
y[1] (numeric) = 0.5720000000002099 " "
absolute error = 3.4250380309686080000000000000E-13 " "
relative error = 5.98782872547098300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.589999999999822 " "
y[1] (closed_form) = 0.564619999999869 " "
y[1] (numeric) = 0.5646200000002106 " "
absolute error = 3.41615624677160670000000000000E-13 " "
relative error = 6.05036351311040900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.579999999999823 " "
y[1] (closed_form) = 0.5572799999998704 " "
y[1] (numeric) = 0.5572800000002113 " "
absolute error = 3.40838468559923060000000000000E-13 " "
relative error = 6.11610803474020900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.569999999999824 " "
y[1] (closed_form) = 0.5499799999998719 " "
y[1] (numeric) = 0.549980000000212 " "
absolute error = 3.40061312442685450000000000000E-13 " "
relative error = 6.1831577956064700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.559999999999825 " "
y[1] (closed_form) = 0.5427199999998734 " "
y[1] (numeric) = 0.5427200000002127 " "
absolute error = 3.39284156325447840000000000000E-13 " "
relative error = 6.25155063984240400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.549999999999826 " "
y[1] (closed_form) = 0.535499999999875 " "
y[1] (numeric) = 0.5355000000002134 " "
absolute error = 3.3839597790574770000000000000E-13 " "
relative error = 6.31925262195754800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5399999999998273 " "
y[1] (closed_form) = 0.5283199999998763 " "
y[1] (numeric) = 0.5283200000002141 " "
absolute error = 3.3772984409097260000000000000E-13 " "
relative error = 6.39252430517587300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5299999999998284 " "
y[1] (closed_form) = 0.521179999999878 " "
y[1] (numeric) = 0.5211800000002147 " "
absolute error = 3.36730643368810000000000000E-13 " "
relative error = 6.46092795903313400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5199999999998295 " "
y[1] (closed_form) = 0.5140799999998794 " "
y[1] (numeric) = 0.5140800000002154 " "
absolute error = 3.35953487251572370000000000000E-13 " "
relative error = 6.53504293595648900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5099999999998306 " "
y[1] (closed_form) = 0.5070199999998809 " "
y[1] (numeric) = 0.5070200000002161 " "
absolute error = 3.35176331134334760000000000000E-13 " "
relative error = 6.61071222307627800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4999999999998317 " "
y[1] (closed_form) = 0.4999999999998822 " "
y[1] (numeric) = 0.5000000000002167 " "
absolute error = 3.34510197319559670000000000000E-13 " "
relative error = 6.69020394639276900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.489999999999833 " "
y[1] (closed_form) = 0.4930199999998838 " "
y[1] (numeric) = 0.4930200000002174 " "
absolute error = 3.33622018899859540000000000000E-13 " "
relative error = 6.76690639122019800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.479999999999834 " "
y[1] (closed_form) = 0.48607999999988516 " "
y[1] (numeric) = 0.48608000000021806 " "
absolute error = 3.3290037393385320000000000000E-13 " "
relative error = 6.84867457895679400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.469999999999835 " "
y[1] (closed_form) = 0.4791799999998866 " "
y[1] (numeric) = 0.47918000000021876 " "
absolute error = 3.32178728967846840000000000000E-13 " "
relative error = 6.93223275111493500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.459999999999836 " "
y[1] (closed_form) = 0.47231999999988805 " "
y[1] (numeric) = 0.4723200000002194 " "
absolute error = 3.31346061699377970000000000000E-13 " "
relative error = 7.01528755291870900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.449999999999837 " "
y[1] (closed_form) = 0.46549999999988934 " "
y[1] (numeric) = 0.46550000000022007 " "
absolute error = 3.30735439035834130000000000000E-13 " "
relative error = 7.1049503552290600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4399999999998383 " "
y[1] (closed_form) = 0.45871999999989066 " "
y[1] (numeric) = 0.4587200000002207 " "
absolute error = 3.3001379406982780000000000000E-13 " "
relative error = 7.19423164610015800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4299999999998394 " "
y[1] (closed_form) = 0.45197999999989225 " "
y[1] (numeric) = 0.4519800000002213 " "
absolute error = 3.2907010449889640000000000000E-13 " "
relative error = 7.28063419839317700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4199999999998405 " "
y[1] (closed_form) = 0.4452799999998934 " "
y[1] (numeric) = 0.44528000000022194 " "
absolute error = 3.2851499298658380000000000000E-13 " "
relative error = 7.3777172338003600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4099999999998416 " "
y[1] (closed_form) = 0.43861999999989487 " "
y[1] (numeric) = 0.43862000000022255 " "
absolute error = 3.27682325718114950000000000000E-13 " "
relative error = 7.47075659382138300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3999999999998427 " "
y[1] (closed_form) = 0.43199999999989636 " "
y[1] (numeric) = 0.4320000000002232 " "
absolute error = 3.2684965844964610000000000000E-13 " "
relative error = 7.56596431596584400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.389999999999844 " "
y[1] (closed_form) = 0.42541999999989766 " "
y[1] (numeric) = 0.42542000000022384 " "
absolute error = 3.261835246348710000000000000E-13 " "
relative error = 7.66732933653682100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.379999999999845 " "
y[1] (closed_form) = 0.418879999999899 " "
y[1] (numeric) = 0.41888000000022446 " "
absolute error = 3.25461879668864640000000000000E-13 " "
relative error = 7.76981187139379100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.369999999999846 " "
y[1] (closed_form) = 0.4123799999999004 " "
y[1] (numeric) = 0.4123800000002251 " "
absolute error = 3.2474023470285830000000000000E-13 " "
relative error = 7.87478138374646500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.359999999999847 " "
y[1] (closed_form) = 0.4059199999999016 " "
y[1] (numeric) = 0.4059200000002257 " "
absolute error = 3.24129612039314450000000000000E-13 " "
relative error = 7.98506139237763700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.349999999999848 " "
y[1] (closed_form) = 0.3994999999999028 " "
y[1] (numeric) = 0.39950000000022634 " "
absolute error = 3.2351898937577060000000000000E-13 " "
relative error = 8.09809735609134700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3399999999998493 " "
y[1] (closed_form) = 0.3931199999999043 " "
y[1] (numeric) = 0.39312000000022695 " "
absolute error = 3.2263081095607050000000000000E-13 " "
relative error = 8.20692946062650100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3299999999998504 " "
y[1] (closed_form) = 0.38677999999990564 " "
y[1] (numeric) = 0.38678000000022755 " "
absolute error = 3.21909165990064140000000000000E-13 " "
relative error = 8.32279761079018200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3199999999998515 " "
y[1] (closed_form) = 0.3804799999999068 " "
y[1] (numeric) = 0.38048000000022814 " "
absolute error = 3.21354054477751560000000000000E-13 " "
relative error = 8.44601699111202500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3099999999998526 " "
y[1] (closed_form) = 0.3742199999999082 " "
y[1] (numeric) = 0.3742200000002287 " "
absolute error = 3.2052138720928270000000000000E-13 " "
relative error = 8.5650523010357890000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2999999999998537 " "
y[1] (closed_form) = 0.3679999999999094 " "
y[1] (numeric) = 0.3680000000002293 " "
absolute error = 3.19910764545738860000000000000E-13 " "
relative error = 8.69322729744069500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.289999999999855 " "
y[1] (closed_form) = 0.36181999999991066 " "
y[1] (numeric) = 0.36182000000022985 " "
absolute error = 3.1918911957973250000000000000E-13 " "
relative error = 8.82176550715304100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.279999999999856 " "
y[1] (closed_form) = 0.35567999999991196 " "
y[1] (numeric) = 0.3556800000002304 " "
absolute error = 3.18467474613726150000000000000E-13 " "
relative error = 8.95376390614611500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.269999999999857 " "
y[1] (closed_form) = 0.34957999999991307 " "
y[1] (numeric) = 0.34958000000023104 " "
absolute error = 3.17967874252644830000000000000E-13 " "
relative error = 9.09571126073356400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.259999999999858 " "
y[1] (closed_form) = 0.34351999999991445 " "
y[1] (numeric) = 0.3435200000002316 " "
absolute error = 3.17135206984175970000000000000E-13 " "
relative error = 9.23192847532181400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2499999999998592 " "
y[1] (closed_form) = 0.33749999999991565 " "
y[1] (numeric) = 0.33750000000023217 " "
absolute error = 3.16524584320632130000000000000E-13 " "
relative error = 9.37850620209514700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2399999999998603 " "
y[1] (closed_form) = 0.3315199999999169 " "
y[1] (numeric) = 0.33152000000023274 " "
absolute error = 3.15858450505857040000000000000E-13 " "
relative error = 9.52758356979778700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2299999999998614 " "
y[1] (closed_form) = 0.32557999999991805 " "
y[1] (numeric) = 0.3255800000002333 " "
absolute error = 3.1524782784231320000000000000E-13 " "
relative error = 9.68265335224499500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2199999999998625 " "
y[1] (closed_form) = 0.31967999999991925 " "
y[1] (numeric) = 0.3196800000002339 " "
absolute error = 3.14637205178769360000000000000E-13 " "
relative error = 9.84225491675578300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2099999999998636 " "
y[1] (closed_form) = 0.3138199999999204 " "
y[1] (numeric) = 0.3138200000002344 " "
absolute error = 3.14026582515225500000000000000E-13 " "
relative error = 1.00065828345964320000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1999999999998647 " "
y[1] (closed_form) = 0.30799999999992167 " "
y[1] (numeric) = 0.308000000000235 " "
absolute error = 3.1330493754921920000000000000E-13 " "
relative error = 1.01722382321200910000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.189999999999866 " "
y[1] (closed_form) = 0.3022199999999228 " "
y[1] (numeric) = 0.30222000000023547 " "
absolute error = 3.12694314885675340000000000000E-13 " "
relative error = 1.03465791438606060000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.179999999999867 " "
y[1] (closed_form) = 0.2964799999999239 " "
y[1] (numeric) = 0.296480000000236 " "
absolute error = 3.1208369222213150000000000000E-13 " "
relative error = 1.0526298307548960000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.169999999999868 " "
y[1] (closed_form) = 0.2907799999999251 " "
y[1] (numeric) = 0.2907800000002365 " "
absolute error = 3.1141755840735640000000000000E-13 " "
relative error = 1.07097310133928270000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.159999999999869 " "
y[1] (closed_form) = 0.2851199999999262 " "
y[1] (numeric) = 0.285120000000237 " "
absolute error = 3.10806935743812600000000000000E-13 " "
relative error = 1.09009166576842380000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1499999999998702 " "
y[1] (closed_form) = 0.27949999999992736 " "
y[1] (numeric) = 0.27950000000023756 " "
absolute error = 3.10196313080268740000000000000E-13 " "
relative error = 1.10982580708532870000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1399999999998713 " "
y[1] (closed_form) = 0.27391999999992855 " "
y[1] (numeric) = 0.2739200000002381 " "
absolute error = 3.09530179265493640000000000000E-13 " "
relative error = 1.13000211472537370000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1299999999998724 " "
y[1] (closed_form) = 0.2683799999999297 " "
y[1] (numeric) = 0.2683800000002386 " "
absolute error = 3.0891955660194980000000000000E-13 " "
relative error = 1.15105282287067120000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1199999999998735 " "
y[1] (closed_form) = 0.2628799999999307 " "
y[1] (numeric) = 0.26288000000023914 " "
absolute error = 3.0841995624086850000000000000E-13 " "
relative error = 1.17323476963234070000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1099999999998746 " "
y[1] (closed_form) = 0.2574199999999319 " "
y[1] (numeric) = 0.2574200000002396 " "
absolute error = 3.07698311274862140000000000000E-13 " "
relative error = 1.1953162585461251000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0999999999998757 " "
y[1] (closed_form) = 0.25199999999993294 " "
y[1] (numeric) = 0.25200000000024014 " "
absolute error = 3.0719871091378080000000000000E-13 " "
relative error = 1.21904250362643870000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.089999999999877 " "
y[1] (closed_form) = 0.246619999999934 " "
y[1] (numeric) = 0.24662000000024065 " "
absolute error = 3.06643599401468240000000000000E-13 " "
relative error = 1.2433849622964490000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.079999999999878 " "
y[1] (closed_form) = 0.2412799999999351 " "
y[1] (numeric) = 0.24128000000024113 " "
absolute error = 3.0603297673792440000000000000E-13 " "
relative error = 1.2683727484168050000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.069999999999879 " "
y[1] (closed_form) = 0.23597999999993624 " "
y[1] (numeric) = 0.2359800000002416 " "
absolute error = 3.0536684292314930000000000000E-13 " "
relative error = 1.2940369646717170000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.05999999999988 " "
y[1] (closed_form) = 0.2307199999999373 " "
y[1] (numeric) = 0.2307200000002421 " "
absolute error = 3.0478397583522110000000000000E-13 " "
relative error = 1.32101237792694170000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0499999999998813 " "
y[1] (closed_form) = 0.2254999999999383 " "
y[1] (numeric) = 0.22550000000024256 " "
absolute error = 3.04256619898524150000000000000E-13 " "
relative error = 1.34925330331976650000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0399999999998824 " "
y[1] (closed_form) = 0.22031999999993934 " "
y[1] (numeric) = 0.22032000000024302 " "
absolute error = 3.03673752810595940000000000000E-13 " "
relative error = 1.3783303958364180000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0299999999998835 " "
y[1] (closed_form) = 0.21517999999994042 " "
y[1] (numeric) = 0.21518000000024348 " "
absolute error = 3.0306313014705210000000000000E-13 " "
relative error = 1.40841681451406270000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0199999999998846 " "
y[1] (closed_form) = 0.21007999999994142 " "
y[1] (numeric) = 0.21008000000024396 " "
absolute error = 3.02535774210355160000000000000E-13 " "
relative error = 1.44009793512204640000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0099999999998857 " "
y[1] (closed_form) = 0.20501999999994247 " "
y[1] (numeric) = 0.20502000000024442 " "
absolute error = 3.01952907122426950000000000000E-13 " "
relative error = 1.47279732281002660000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9999999999998868 " "
y[1] (closed_form) = 0.19999999999994345 " "
y[1] (numeric) = 0.2000000000002449 " "
absolute error = 3.01453306761345630000000000000E-13 " "
relative error = 1.50726653380715450000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9899999999998879 " "
y[1] (closed_form) = 0.19501999999994446 " "
y[1] (numeric) = 0.19502000000024536 " "
absolute error = 3.00898195249033050000000000000E-13 " "
relative error = 1.54290942082411450000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.979999999999889 " "
y[1] (closed_form) = 0.1900799999999454 " "
y[1] (numeric) = 0.1900800000002458 " "
absolute error = 3.00398594887951730000000000000E-13 " "
relative error = 1.58037981317360080000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.96999999999989 " "
y[1] (closed_form) = 0.1851799999999464 " "
y[1] (numeric) = 0.18518000000024623 " "
absolute error = 2.99843483375639150000000000000E-13 " "
relative error = 1.61920014783305950000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9599999999998912 " "
y[1] (closed_form) = 0.1803199999999474 " "
y[1] (numeric) = 0.18032000000024667 " "
absolute error = 2.99260616287710950000000000000E-13 " "
relative error = 1.65960856415149850000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9499999999998923 " "
y[1] (closed_form) = 0.17549999999994836 " "
y[1] (numeric) = 0.1755000000002471 " "
absolute error = 2.987332603510140000000000000E-13 " "
relative error = 1.70218381966439820000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9399999999998934 " "
y[1] (closed_form) = 0.17071999999994936 " "
y[1] (numeric) = 0.17072000000024753 " "
absolute error = 2.9817814883870140000000000000E-13 " "
relative error = 1.74659178092074650000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9299999999998945 " "
y[1] (closed_form) = 0.16597999999995028 " "
y[1] (numeric) = 0.16598000000024796 " "
absolute error = 2.9767854847762010000000000000E-13 " "
relative error = 1.79346034749794700000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9199999999998956 " "
y[1] (closed_form) = 0.16127999999995124 " "
y[1] (numeric) = 0.16128000000024836 " "
absolute error = 2.9712343696530750000000000000E-13 " "
relative error = 1.84228321531124340000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9099999999998967 " "
y[1] (closed_form) = 0.15661999999995213 " "
y[1] (numeric) = 0.15662000000024875 " "
absolute error = 2.9662383660422620000000000000E-13 " "
relative error = 1.89390778064306510000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8999999999998978 " "
y[1] (closed_form) = 0.15199999999995306 " "
y[1] (numeric) = 0.15200000000024919 " "
absolute error = 2.9612423624314490000000000000E-13 " "
relative error = 1.94818576475813380000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8899999999998989 " "
y[1] (closed_form) = 0.14741999999995392 " "
y[1] (numeric) = 0.1474200000002496 " "
absolute error = 2.9568014703329480000000000000E-13 " "
relative error = 2.00569900307547980000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8799999999999 " "
y[1] (closed_form) = 0.14287999999995482 " "
y[1] (numeric) = 0.14288000000025 " "
absolute error = 2.9518054667221350000000000000E-13 " "
relative error = 2.06593327738176680000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.869999999999901 " "
y[1] (closed_form) = 0.13837999999995576 " "
y[1] (numeric) = 0.1383800000002504 " "
absolute error = 2.94653190735516550000000000000E-13 " "
relative error = 2.12930474588532120000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8599999999999022 " "
y[1] (closed_form) = 0.13391999999995663 " "
y[1] (numeric) = 0.1339200000002508 " "
absolute error = 2.94181345950050850000000000000E-13 " "
relative error = 2.1966946382179370000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8499999999999033 " "
y[1] (closed_form) = 0.12949999999995754 " "
y[1] (numeric) = 0.1295000000002512 " "
absolute error = 2.9365399001335390000000000000E-13 " "
relative error = 2.2675983784822410000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8399999999999044 " "
y[1] (closed_form) = 0.12511999999995838 " "
y[1] (numeric) = 0.12512000000025159 " "
absolute error = 2.93209900803503840000000000000E-13 " "
relative error = 2.34342951409527960000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8299999999999055 " "
y[1] (closed_form) = 0.12077999999995925 " "
y[1] (numeric) = 0.12078000000025196 " "
absolute error = 2.9271030044242250000000000000E-13 " "
relative error = 2.42349975527836770000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8199999999999066 " "
y[1] (closed_form) = 0.11647999999996006 " "
y[1] (numeric) = 0.11648000000025234 " "
absolute error = 2.92280089020380300000000000000E-13 " "
relative error = 2.5092727422774770000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8099999999999077 " "
y[1] (closed_form) = 0.1122199999999609 " "
y[1] (numeric) = 0.1122200000002527 " "
absolute error = 2.91794366447106770000000000000E-13 " "
relative error = 2.6001993089218360000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7999999999999088 " "
y[1] (closed_form) = 0.1079999999999618 " "
y[1] (numeric) = 0.10800000000025306 " "
absolute error = 2.9126701051040980000000000000E-13 " "
relative error = 2.69691676398623000000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7899999999999099 " "
y[1] (closed_form) = 0.10381999999996261 " "
y[1] (numeric) = 0.10382000000025342 " "
absolute error = 2.90809043512751940000000000000E-13 " "
relative error = 2.8010888413875623000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.779999999999911 " "
y[1] (closed_form) = 9.96799999999633500E-2 " "
y[1] (numeric) = 9.96800000002537800E-2 " "
absolute error = 2.90420465454133140000000000000E-13 " "
relative error = 2.9135279439630810000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.769999999999912 " "
y[1] (closed_form) = 9.55799999999641400E-2 " "
y[1] (numeric) = 9.55800000002541300E-2 " "
absolute error = 2.8999025403209090000000000000E-13 " "
relative error = 3.03400558727976300000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7599999999999132 " "
y[1] (closed_form) = 9.15199999999649600E-2 " "
y[1] (numeric) = 9.1520000000254500E-2 " "
absolute error = 2.895322870344330000000000000E-13 " "
relative error = 3.16359579364667700000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7499999999999143 " "
y[1] (closed_form) = 8.74999999999658300E-2 " "
y[1] (numeric) = 8.75000000002548400E-2 " "
absolute error = 2.8901880888554390000000000000E-13 " "
relative error = 3.3030721015503630000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7399999999999154 " "
y[1] (closed_form) = 8.35199999999665100E-2 " "
y[1] (numeric) = 8.35200000002551800E-2 " "
absolute error = 2.8867186419034850000000000000E-13 " "
relative error = 3.45632021300843250000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7299999999999165 " "
y[1] (closed_form) = 7.95799999999673400E-2 " "
y[1] (numeric) = 7.95800000002555400E-2 " "
absolute error = 2.881861416170750000000000000E-13 " "
relative error = 3.62133879890918940000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7199999999999176 " "
y[1] (closed_form) = 7.5679999999968110E-2 " "
y[1] (numeric) = 7.56800000002558600E-2 " "
absolute error = 2.87755930195032760000000000000E-13 " "
relative error = 3.8022718049042550000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7099999999999187 " "
y[1] (closed_form) = 7.1819999999968800E-2 " "
y[1] (numeric) = 7.18200000002561800E-2 " "
absolute error = 2.87381229924221770000000000000E-13 " "
relative error = 4.00140949490875250000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6999999999999198 " "
y[1] (closed_form) = 6.79999999999695300E-2 " "
y[1] (numeric) = 6.80000000002565100E-2 " "
absolute error = 2.86978774077795150000000000000E-13 " "
relative error = 4.22027608938123200000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.689999999999921 " "
y[1] (closed_form) = 6.4219999999970300E-2 " "
y[1] (numeric) = 6.42200000002568300E-2 " "
absolute error = 2.86520807080137300000000000000E-13 " "
relative error = 4.4615510289671410000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.679999999999922 " "
y[1] (closed_form) = 6.047999999997100E-2 " "
y[1] (numeric) = 6.04800000002571300E-2 " "
absolute error = 2.86125290127614560000000000000E-13 " "
relative error = 4.7309075748636190000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.669999999999923 " "
y[1] (closed_form) = 5.67799999999717400E-2 " "
y[1] (numeric) = 5.67800000002574400E-2 " "
absolute error = 2.8569507870557230000000000000E-13 " "
relative error = 5.0316146302521050000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6599999999999242 " "
y[1] (closed_form) = 5.31199999999725200E-2 " "
y[1] (numeric) = 5.312000000025775000E-2 " "
absolute error = 2.8522323392010660000000000000E-13 " "
relative error = 5.369413289161410000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6499999999999253 " "
y[1] (closed_form) = 4.94999999999731200E-2 " "
y[1] (numeric) = 4.950000000025805000E-2 " "
absolute error = 2.8492486148223860000000000000E-13 " "
relative error = 5.7560578077251180000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6399999999999264 " "
y[1] (closed_form) = 4.59199999999738700E-2 " "
y[1] (numeric) = 4.59200000002583400E-2 " "
absolute error = 2.84466894484580730000000000000E-13 " "
relative error = 6.1948365523680870000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6299999999999275 " "
y[1] (closed_form) = 4.23799999999745500E-2 " "
y[1] (numeric) = 4.23800000002586300E-2 " "
absolute error = 2.84078316425961930000000000000E-13 " "
relative error = 6.7031221431366800000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6199999999999286 " "
y[1] (closed_form) = 3.88799999999752700E-2 " "
y[1] (numeric) = 3.88800000002589100E-2 " "
absolute error = 2.83641166110015800000000000000E-13 " "
relative error = 7.2952974822581330000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6099999999999297 " "
y[1] (closed_form) = 3.541999999997591500E-2 " "
y[1] (numeric) = 3.54200000002591830E-2 " "
absolute error = 2.8326646583920480000000000000E-13 " "
relative error = 7.9973592840033140000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5999999999999308 " "
y[1] (closed_form) = 3.19999999999764900E-2 " "
y[1] (numeric) = 3.20000000002594540E-2 " "
absolute error = 2.82961154507432870000000000000E-13 " "
relative error = 8.8425360783637730000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.589999999999932 " "
y[1] (closed_form) = 2.86199999999772200E-2 " "
y[1] (numeric) = 2.86200000002597270E-2 " "
absolute error = 2.8251012640367890000000000000E-13 " "
relative error = 9.8710735990183020000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.579999999999933 " "
y[1] (closed_form) = 2.52799999999778200E-2 " "
y[1] (numeric) = 2.528000000025999400E-2 " "
absolute error = 2.82177059496291350000000000000E-13 " "
relative error = 1.1162067226920053000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5699999999999341 " "
y[1] (closed_form) = 2.19799999999784600E-2 " "
y[1] (numeric) = 2.19800000002602600E-2 " "
absolute error = 2.8179888977852840000000000000E-13 " "
relative error = 1.2820695622329598000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5599999999999352 " "
y[1] (closed_form) = 1.871999999997908700E-2 " "
y[1] (numeric) = 1.87200000002605230E-2 " "
absolute error = 2.8143459784857330000000000000E-13 " "
relative error = 1.5033899457739727000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5499999999999363 " "
y[1] (closed_form) = 1.549999999997969700E-2 " "
y[1] (numeric) = 1.550000000026078000E-2 " "
absolute error = 2.81084183706425960000000000000E-13 " "
relative error = 1.8134463464954462000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5399999999999374 " "
y[1] (closed_form) = 1.231999999998029100E-2 " "
y[1] (numeric) = 1.232000000026103600E-2 " "
absolute error = 2.8074417790513450000000000000E-13 " "
relative error = 2.2787676778050617000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5299999999999385 " "
y[1] (closed_form) = 9.17999999998087000E-3 " "
y[1] (numeric) = 9.180000000261282000E-3 " "
absolute error = 2.80412845721222940000000000000E-13 " "
relative error = 3.0546061625469206000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5199999999999396 " "
y[1] (closed_form) = 6.079999999981434000E-3 " "
y[1] (numeric) = 6.080000000261527000E-3 " "
absolute error = 2.8009365660164320000000000000E-13 " "
relative error = 4.606803562541094000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5099999999999407 " "
y[1] (closed_form) = 3.019999999982037000E-3 " "
y[1] (numeric) = 3.020000000261766000E-3 " "
absolute error = 2.7972893099081910000000000000E-13 " "
relative error = 9.26254738385705000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4999999999999418 " "
y[1] (closed_form) = -1.7374990335383700000000000000E-14 " "
y[1] (numeric) = 2.62001520739268970000000000000E-13 " "
absolute error = 2.79376511074652670000000000000E-13 " "
relative error = 1607.9232602835464 "%"
Desired digits = 8
Estimated correct digits = 0
Correct digits = 0
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.489999999999943 " "
y[1] (closed_form) = -2.980000000016858000E-3 " "
y[1] (numeric) = -2.979999999737768000E-3 " "
absolute error = 2.7909011907079060000000000000E-13 " "
relative error = 9.365440237221871000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.479999999999944 " "
y[1] (closed_form) = -5.920000000016301000E-3 " "
y[1] (numeric) = -5.919999999737542000E-3 " "
absolute error = 2.78758786886879050000000000000E-13 " "
relative error = 4.708763291995126000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4699999999999451 " "
y[1] (closed_form) = -8.82000000001576000E-3 " "
y[1] (numeric) = -8.81999999973731900E-3 " "
absolute error = 2.7844046512903730000000000000E-13 " "
relative error = 3.156921373339453000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4599999999999462 " "
y[1] (closed_form) = -1.168000000001523400E-2 " "
y[1] (numeric) = -1.167999999973710300E-2 " "
absolute error = 2.78129949626837460000000000000E-13 " "
relative error = 2.3812495687198174000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4499999999999473 " "
y[1] (closed_form) = -1.450000000001466800E-2 " "
y[1] (numeric) = -1.449999999973688700E-2 " "
absolute error = 2.77779535484690140000000000000E-13 " "
relative error = 1.9157209343752352000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4399999999999484 " "
y[1] (closed_form) = -1.728000000001417300E-2 " "
y[1] (numeric) = -1.727999999973668400E-2 " "
absolute error = 2.774898366642020000000000000E-13 " "
relative error = 1.6058439621757778000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4299999999999495 " "
y[1] (closed_form) = -2.002000000001369400E-2 " "
y[1] (numeric) = -2.001999999973647400E-2 " "
absolute error = 2.77219219801949630000000000000E-13 " "
relative error = 1.3847113876211786000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4199999999999506 " "
y[1] (closed_form) = -2.272000000001317400E-2 " "
y[1] (numeric) = -2.27199999997362700E-2 " "
absolute error = 2.76903500129321860000000000000E-13 " "
relative error = 1.218765405498069000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4099999999999517 " "
y[1] (closed_form) = -2.53800000000126700E-2 " "
y[1] (numeric) = -2.537999999973607500E-2 " "
absolute error = 2.765947193505980000000000000E-13 " "
relative error = 1.0898137090246647000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3999999999999528 " "
y[1] (closed_form) = -2.800000000001218000E-2 " "
y[1] (numeric) = -2.799999999973588600E-2 " "
absolute error = 2.76296346912730000000000000000E-13 " "
relative error = 9.8677266754503490000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.389999999999954 " "
y[1] (closed_form) = -3.058000000001176400E-2 " "
y[1] (numeric) = -3.0579999999735700E-2 " "
absolute error = 2.7606389396694910000000000000E-13 " "
relative error = 9.0275962709889750000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.379999999999955 " "
y[1] (closed_form) = -3.31200000000112500E-2 " "
y[1] (numeric) = -3.31199999997355200E-2 " "
absolute error = 2.75730827059561530000000000000E-13 " "
relative error = 8.325206131022580000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3699999999999561 " "
y[1] (closed_form) = -3.56200000000108100E-2 " "
y[1] (numeric) = -3.56199999997353500E-2 " "
absolute error = 2.75460210197309150000000000000E-13 " "
relative error = 7.7333018022803360000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3599999999999572 " "
y[1] (closed_form) = -3.80800000000103830E-2 " "
y[1] (numeric) = -3.80799999997351870E-2 " "
absolute error = 2.7519653222896070000000000000E-13 " "
relative error = 7.2267996908846020000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3499999999999583 " "
y[1] (closed_form) = -4.05000000000099700E-2 " "
y[1] (numeric) = -4.049999999973502600E-2 " "
absolute error = 2.74946732048420000000000000E-13 " "
relative error = 6.7888081987247480000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3399999999999594 " "
y[1] (closed_form) = -4.28800000000095200E-2 " "
y[1] (numeric) = -4.28799999997348600E-2 " "
absolute error = 2.7466223739835980000000000000E-13 " "
relative error = 6.4053693423110740000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3299999999999605 " "
y[1] (closed_form) = -4.522000000000908600E-2 " "
y[1] (numeric) = -4.52199999997346900E-2 " "
absolute error = 2.74398559430011350000000000000E-13 " "
relative error = 6.0680795981856760000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3199999999999616 " "
y[1] (closed_form) = -4.752000000000866600E-2 " "
y[1] (numeric) = -4.751999999973452500E-2 " "
absolute error = 2.7414182035556680000000000000E-13 " "
relative error = 5.7689777010841070000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3099999999999627 " "
y[1] (closed_form) = -4.97800000000083200E-2 " "
y[1] (numeric) = -4.97799999997343700E-2 " "
absolute error = 2.7394753132625740000000000000E-13 " "
relative error = 5.5031645505466380000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2999999999999639 " "
y[1] (closed_form) = -5.20000000000079300E-2 " "
y[1] (numeric) = -5.19999999997342100E-2 " "
absolute error = 2.73711608933524530000000000000E-13 " "
relative error = 5.2636847871823610000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.289999999999965 " "
y[1] (closed_form) = -5.4180000000007500E-2 " "
y[1] (numeric) = -5.41799999997340700E-2 " "
absolute error = 2.73427114283464330000000000000E-13 " "
relative error = 5.0466429362020390000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.279999999999966 " "
y[1] (closed_form) = -5.63200000000071400E-2 " "
y[1] (numeric) = -5.63199999997339400E-2 " "
absolute error = 2.7320506967853930000000000000E-13 " "
relative error = 4.8509422883257225000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2699999999999672 " "
y[1] (closed_form) = -5.8420000000006800E-2 " "
y[1] (numeric) = -5.8419999999733810E-2 " "
absolute error = 2.7299690286142210000000000000E-13 " "
relative error = 4.6730041571617653000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2599999999999683 " "
y[1] (closed_form) = -6.04800000000064200E-2 " "
y[1] (numeric) = -6.04799999997336800E-2 " "
absolute error = 2.7274016378697750000000000000E-13 " "
relative error = 4.5095926552074830000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2499999999999694 " "
y[1] (closed_form) = -6.25000000000060500E-2 " "
y[1] (numeric) = -6.24999999997335600E-2 " "
absolute error = 2.72490363606436860000000000000E-13 " "
relative error = 4.3598458177025680000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2399999999999705 " "
y[1] (closed_form) = -6.44800000000057500E-2 " "
y[1] (numeric) = -6.44799999997334400E-2 " "
absolute error = 2.72309952364935270000000000000E-13 " "
relative error = 4.223169236428520000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2299999999999716 " "
y[1] (closed_form) = -6.64200000000054200E-2 " "
y[1] (numeric) = -6.64199999997333100E-2 " "
absolute error = 2.72101785547818050000000000000E-13 " "
relative error = 4.09668451592586360000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2199999999999727 " "
y[1] (closed_form) = -6.8320000000005100E-2 " "
y[1] (numeric) = -6.8319999999733200E-2 " "
absolute error = 2.71893618730700840000000000000E-13 " "
relative error = 3.9797075341141770000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2099999999999738 " "
y[1] (closed_form) = -7.0180000000004790E-2 " "
y[1] (numeric) = -7.01799999997331100E-2 " "
absolute error = 2.7168545191358360000000000000E-13 " "
relative error = 3.8712660574745660000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1999999999999749 " "
y[1] (closed_form) = -7.20000000000044500E-2 " "
y[1] (numeric) = -7.199999999973300E-2 " "
absolute error = 2.71449529520850800000000000000E-13 " "
relative error = 3.7701323544560280000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.189999999999976 " "
y[1] (closed_form) = -7.37800000000041800E-2 " "
y[1] (numeric) = -7.3779999999732900E-2 " "
absolute error = 2.7126911827934920000000000000E-13 " "
relative error = 3.67672971373453230000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.179999999999977 " "
y[1] (closed_form) = -7.55200000000039200E-2 " "
y[1] (numeric) = -7.55199999997328200E-2 " "
absolute error = 2.7108870703784760000000000000E-13 " "
relative error = 3.5896280063272450000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1699999999999782 " "
y[1] (closed_form) = -7.72200000000036200E-2 " "
y[1] (numeric) = -7.72199999997327400E-2 " "
absolute error = 2.7088054022073040000000000000E-13 " "
relative error = 3.5079065037647983000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1599999999999793 " "
y[1] (closed_form) = -7.88800000000033400E-2 " "
y[1] (numeric) = -7.88799999997326500E-2 " "
absolute error = 2.706862511914210000000000000E-13 " "
relative error = 3.43162083153409700000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1499999999999804 " "
y[1] (closed_form) = -8.05000000000030700E-2 " "
y[1] (numeric) = -8.04999999997325600E-2 " "
absolute error = 2.7050583994991940000000000000E-13 " "
relative error = 3.36032099316657230000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1399999999999815 " "
y[1] (closed_form) = -8.20800000000028200E-2 " "
y[1] (numeric) = -8.20799999997324800E-2 " "
absolute error = 2.7033930649622560000000000000E-13 " "
relative error = 3.2936075352852870000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1299999999999826 " "
y[1] (closed_form) = -8.36200000000025800E-2 " "
y[1] (numeric) = -8.3619999999732400E-2 " "
absolute error = 2.70186650830339660000000000000E-13 " "
relative error = 3.2311247408554330000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1199999999999837 " "
y[1] (closed_form) = -8.51200000000023600E-2 " "
y[1] (numeric) = -8.51199999997323200E-2 " "
absolute error = 2.7003399516445370000000000000E-13 " "
relative error = 3.1723918604845650000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1099999999999848 " "
y[1] (closed_form) = -8.65800000000021600E-2 " "
y[1] (numeric) = -8.65799999997322600E-2 " "
absolute error = 2.69895217286375550000000000000E-13 " "
relative error = 3.1172928769504370000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0999999999999859 " "
y[1] (closed_form) = -8.80000000000019400E-2 " "
y[1] (numeric) = -8.7999999999732190E-2 " "
absolute error = 2.6974256162048960000000000000E-13 " "
relative error = 3.06525638205095040000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.089999999999987 " "
y[1] (closed_form) = -8.93800000000017400E-2 " "
y[1] (numeric) = -8.93799999997321400E-2 " "
absolute error = 2.69589905954603640000000000000E-13 " "
relative error = 3.01622181645332700000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.079999999999988 " "
y[1] (closed_form) = -9.07200000000015200E-2 " "
y[1] (numeric) = -9.0719999999732100E-2 " "
absolute error = 2.69423372500909860000000000000E-13 " "
relative error = 2.9698343529641240000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0699999999999892 " "
y[1] (closed_form) = -9.20200000000013500E-2 " "
y[1] (numeric) = -9.20199999997320500E-2 " "
absolute error = 2.69298472410639530000000000000E-13 " "
relative error = 2.9265211085702630000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0599999999999903 " "
y[1] (closed_form) = -9.32800000000011600E-2 " "
y[1] (numeric) = -9.32799999997320200E-2 " "
absolute error = 2.69145816744753600000000000000E-13 " "
relative error = 2.8853539530955213000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0499999999999914 " "
y[1] (closed_form) = -9.450000000000100E-2 " "
y[1] (numeric) = -9.44999999997320000E-2 " "
absolute error = 2.69007038866675430000000000000E-13 " "
relative error = 2.84663533192246130000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0399999999999925 " "
y[1] (closed_form) = -9.56800000000008200E-2 " "
y[1] (numeric) = -9.56799999997319700E-2 " "
absolute error = 2.68854383200789470000000000000E-13 " "
relative error = 2.8099329347908360000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0299999999999936 " "
y[1] (closed_form) = -9.68200000000006800E-2 " "
y[1] (numeric) = -9.68199999997319400E-2 " "
absolute error = 2.68743360898326960000000000000E-13 " "
relative error = 2.77570089752453060000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0199999999999947 " "
y[1] (closed_form) = -9.79200000000005400E-2 " "
y[1] (numeric) = -9.79199999997319100E-2 " "
absolute error = 2.6861846080805660000000000000E-13 " "
relative error = 2.7432440850495830000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0099999999999958 " "
y[1] (closed_form) = -9.8980000000000400E-2 " "
y[1] (numeric) = -9.89799999997318800E-2 " "
absolute error = 2.6852131629340190000000000000E-13 " "
relative error = 2.71288458570823230000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9999999999999968 " "
y[1] (closed_form) = -0.10000000000000031 " "
y[1] (numeric) = -9.99999999997318600E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.684519273543620000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9899999999999968 " "
y[1] (closed_form) = -0.10098000000000029 " "
y[1] (numeric) = -0.10097999999973185 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 2.65832887271295560000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9799999999999968 " "
y[1] (closed_form) = -0.10192000000000029 " "
y[1] (numeric) = -0.10191999999973184 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.6339474818913080000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9699999999999968 " "
y[1] (closed_form) = -0.10282000000000027 " "
y[1] (numeric) = -0.10281999999973182 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.61089211587592100000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9599999999999967 " "
y[1] (closed_form) = -0.10368000000000027 " "
y[1] (numeric) = -0.1036799999997318 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.58936926255950940000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9499999999999967 " "
y[1] (closed_form) = -0.10450000000000026 " "
y[1] (numeric) = -0.1044999999997318 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.5690507669107177000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9399999999999967 " "
y[1] (closed_form) = -0.10528000000000023 " "
y[1] (numeric) = -0.10527999999973178 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.5498853282139270000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9299999999999967 " "
y[1] (closed_form) = -0.10602000000000023 " "
y[1] (numeric) = -0.10601999999973176 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.5322184978510670000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9199999999999967 " "
y[1] (closed_form) = -0.10672000000000023 " "
y[1] (numeric) = -0.10671999999973175 " "
absolute error = 2.6847968292997850000000000000E-13 " "
relative error = 2.5157391578895980000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9099999999999967 " "
y[1] (closed_form) = -0.1073800000000002 " "
y[1] (numeric) = -0.10737999999973173 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.50014718888219600000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8999999999999967 " "
y[1] (closed_form) = -0.10800000000000021 " "
y[1] (numeric) = -0.10799999999973173 " "
absolute error = 2.6847968292997850000000000000E-13 " "
relative error = 2.48592299009238880000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8899999999999967 " "
y[1] (closed_form) = -0.10858000000000018 " "
y[1] (numeric) = -0.10857999999973171 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.47251616450700150000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8799999999999967 " "
y[1] (closed_form) = -0.10912000000000016 " "
y[1] (numeric) = -0.1091199999997317 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.46028047234393560000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8699999999999967 " "
y[1] (closed_form) = -0.10962000000000016 " "
y[1] (numeric) = -0.10961999999973168 " "
absolute error = 2.6847968292997850000000000000E-13 " "
relative error = 2.44918521191368420000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8599999999999967 " "
y[1] (closed_form) = -0.11008000000000015 " "
y[1] (numeric) = -0.11007999999973167 " "
absolute error = 2.6847968292997850000000000000E-13 " "
relative error = 2.4389506080121560000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8499999999999966 " "
y[1] (closed_form) = -0.11050000000000013 " "
y[1] (numeric) = -0.11049999999973166 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.42955479766670000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8399999999999966 " "
y[1] (closed_form) = -0.11088000000000012 " "
y[1] (numeric) = -0.11087999999973164 " "
absolute error = 2.6847968292997850000000000000E-13 " "
relative error = 2.42135356177830270000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8299999999999966 " "
y[1] (closed_form) = -0.11122000000000007 " "
y[1] (numeric) = -0.11121999999973163 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 2.41357714050130230000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8199999999999966 " "
y[1] (closed_form) = -0.11152000000000006 " "
y[1] (numeric) = -0.11151999999973161 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.40720881773998140000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8099999999999966 " "
y[1] (closed_form) = -0.11178000000000005 " "
y[1] (numeric) = -0.1117799999997316 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.4016096560597850000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7999999999999966 " "
y[1] (closed_form) = -0.11200000000000004 " "
y[1] (numeric) = -0.11199999999973158 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.39701611734080860000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7899999999999966 " "
y[1] (closed_form) = -0.11218000000000003 " "
y[1] (numeric) = -0.11217999999973158 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.39304624134750230000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7799999999999966 " "
y[1] (closed_form) = -0.11232000000000002 " "
y[1] (numeric) = -0.11231999999973157 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.39006345579026720000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7699999999999966 " "
y[1] (closed_form) = -0.11241999999999999 " "
y[1] (numeric) = -0.11241999999973154 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.38793744310943660000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7599999999999966 " "
y[1] (closed_form) = -0.11247999999999998 " "
y[1] (numeric) = -0.11247999999973153 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.3866636500210067000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7499999999999966 " "
y[1] (closed_form) = -0.11249999999999998 " "
y[1] (numeric) = -0.11249999999973152 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.3862393542610040000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7399999999999965 " "
y[1] (closed_form) = -0.11247999999999996 " "
y[1] (numeric) = -0.1124799999997315 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.3866636500210078000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7299999999999965 " "
y[1] (closed_form) = -0.11241999999999994 " "
y[1] (numeric) = -0.11241999999973148 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.38793744310943750000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7199999999999965 " "
y[1] (closed_form) = -0.11231999999999993 " "
y[1] (numeric) = -0.11231999999973148 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.3900634557902690000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7099999999999965 " "
y[1] (closed_form) = -0.11217999999999992 " "
y[1] (numeric) = -0.11217999999973147 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.3930462413475048000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6999999999999965 " "
y[1] (closed_form) = -0.1119999999999999 " "
y[1] (numeric) = -0.11199999999973144 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.39701611734081170000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6899999999999965 " "
y[1] (closed_form) = -0.1117799999999999 " "
y[1] (numeric) = -0.11177999999973143 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.4017338087508583000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6799999999999965 " "
y[1] (closed_form) = -0.11151999999999987 " "
y[1] (numeric) = -0.11151999999973143 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 2.4070843755968022000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6699999999999965 " "
y[1] (closed_form) = -0.11121999999999986 " "
y[1] (numeric) = -0.11121999999973141 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.4137019183093253000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6599999999999965 " "
y[1] (closed_form) = -0.11087999999999984 " "
y[1] (numeric) = -0.11087999999973139 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.4211032409304040000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6499999999999965 " "
y[1] (closed_form) = -0.11049999999999983 " "
y[1] (numeric) = -0.11049999999973138 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.4294292068268170000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6399999999999965 " "
y[1] (closed_form) = -0.11007999999999982 " "
y[1] (numeric) = -0.11007999999973138 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 2.43857239795199380000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6299999999999965 " "
y[1] (closed_form) = -0.1096199999999998 " "
y[1] (numeric) = -0.10961999999973135 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.4489320138146628000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6199999999999964 " "
y[1] (closed_form) = -0.1091199999999998 " "
y[1] (numeric) = -0.10911999999973133 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.4602804723439440000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6099999999999964 " "
y[1] (closed_form) = -0.10857999999999979 " "
y[1] (numeric) = -0.10857999999973134 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.4723883528675940000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5999999999999964 " "
y[1] (closed_form) = -0.10799999999999976 " "
y[1] (numeric) = -0.10799999999973131 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.48566599402188370000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5899999999999964 " "
y[1] (closed_form) = -0.10737999999999975 " "
y[1] (numeric) = -0.10737999999973129 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.5001471888822060000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5799999999999964 " "
y[1] (closed_form) = -0.10671999999999973 " "
y[1] (numeric) = -0.10671999999973128 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.5154790794074544000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5699999999999964 " "
y[1] (closed_form) = -0.10601999999999973 " "
y[1] (numeric) = -0.10601999999973127 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.53208760002229360000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5599999999999964 " "
y[1] (closed_form) = -0.10527999999999971 " "
y[1] (numeric) = -0.10527999999973124 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.5500171461072510000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5499999999999964 " "
y[1] (closed_form) = -0.10449999999999969 " "
y[1] (numeric) = -0.10449999999973122 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.5690507669107320000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5399999999999964 " "
y[1] (closed_form) = -0.10367999999999968 " "
y[1] (numeric) = -0.10367999999973122 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.58923541043946500000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5299999999999964 " "
y[1] (closed_form) = -0.10281999999999966 " "
y[1] (numeric) = -0.10281999999973121 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.6108921158759363000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5199999999999964 " "
y[1] (closed_form) = -0.10191999999999965 " "
y[1] (numeric) = -0.10191999999973118 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.634083645429470000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5099999999999963 " "
y[1] (closed_form) = -0.10097999999999963 " "
y[1] (numeric) = -0.10097999999973117 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.65846630376672440000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.49999999999999634 " "
y[1] (closed_form) = -9.99999999999996200E-2 " "
y[1] (numeric) = -9.99999999997311700E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.6845192735436390000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4899999999999963 " "
y[1] (closed_form) = -9.8979999999999600E-2 " "
y[1] (numeric) = -9.89799999997311500E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.71218354570988030000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4799999999999963 " "
y[1] (closed_form) = -9.79199999999995900E-2 " "
y[1] (numeric) = -9.79199999997311200E-2 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.7416851015336170000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4699999999999963 " "
y[1] (closed_form) = -9.68199999999995700E-2 " "
y[1] (numeric) = -9.68199999997311200E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.7726908423297260000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4599999999999963 " "
y[1] (closed_form) = -9.56799999999995400E-2 " "
y[1] (numeric) = -9.5679999999731100E-2 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 2.80558162172404150000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4499999999999963 " "
y[1] (closed_form) = -9.44999999999995300E-2 " "
y[1] (numeric) = -9.44999999997310800E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.8407611360250180000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4399999999999963 " "
y[1] (closed_form) = -9.32799999999995300E-2 " "
y[1] (numeric) = -9.32799999997310700E-2 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 2.8780639487797170000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4299999999999963 " "
y[1] (closed_form) = -9.2019999999999500E-2 " "
y[1] (numeric) = -9.20199999997310500E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.917321531779659700000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.41999999999999627 " "
y[1] (closed_form) = -9.0719999999999490E-2 " "
y[1] (numeric) = -9.07199999997310400E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 2.95912618335939570000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.40999999999999626 " "
y[1] (closed_form) = -8.93799999999994800E-2 " "
y[1] (numeric) = -8.93799999997310200E-2 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 3.003645168294609700000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.39999999999999625 " "
y[1] (closed_form) = -8.79999999999994700E-2 " "
y[1] (numeric) = -8.79999999997310200E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.05059008357232300000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.38999999999999624 " "
y[1] (closed_form) = -8.65799999999994600E-2 " "
y[1] (numeric) = -8.657999999973099E-2 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 3.10078315017524030000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.37999999999999623 " "
y[1] (closed_form) = -8.51199999999994400E-2 " "
y[1] (numeric) = -8.51199999997309800E-2 " "
absolute error = 2.68465805142170670000000000000E-13 " "
relative error = 3.1539685754484540000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3699999999999962 " "
y[1] (closed_form) = -8.36199999999994200E-2 " "
y[1] (numeric) = -8.36199999997309700E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.2103794230371285000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3599999999999962 " "
y[1] (closed_form) = -8.2079999999999400E-2 " "
y[1] (numeric) = -8.20799999997309500E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.2706131500288110000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3499999999999962 " "
y[1] (closed_form) = -8.04999999999993900E-2 " "
y[1] (numeric) = -8.04999999997309400E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.33480655098589930000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3399999999999962 " "
y[1] (closed_form) = -7.88799999999993700E-2 " "
y[1] (numeric) = -7.88799999997309200E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.40329522508069250000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3299999999999962 " "
y[1] (closed_form) = -7.72199999999993600E-2 " "
y[1] (numeric) = -7.7219999999730900E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.47645593569496370000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3199999999999962 " "
y[1] (closed_form) = -7.55199999999993400E-2 " "
y[1] (numeric) = -7.55199999997308900E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.55471302111182700000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.30999999999999617 " "
y[1] (closed_form) = -7.37799999999993100E-2 " "
y[1] (numeric) = -7.37799999997308600E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.63854604709088260000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.29999999999999616 " "
y[1] (closed_form) = -7.1999999999999300E-2 " "
y[1] (numeric) = -7.19999999997308500E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.7284989910328536000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.28999999999999615 " "
y[1] (closed_form) = -7.01799999999992900E-2 " "
y[1] (numeric) = -7.01799999997308400E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.8251913273634310000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.27999999999999614 " "
y[1] (closed_form) = -6.83199999999992700E-2 " "
y[1] (numeric) = -6.83199999997308200E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 3.92933148937888940000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.26999999999999613 " "
y[1] (closed_form) = -6.64199999999992600E-2 " "
y[1] (numeric) = -6.6419999999730800E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 4.04173332361285550000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2599999999999961 " "
y[1] (closed_form) = -6.44799999999992300E-2 " "
y[1] (numeric) = -6.4479999999730800E-2 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 4.16312111610667200000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.24999999999999611 " "
y[1] (closed_form) = -6.24999999999992200E-2 " "
y[1] (numeric) = -6.24999999997307700E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 4.2952308376698590000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2399999999999961 " "
y[1] (closed_form) = -6.0479999999999200E-2 " "
y[1] (numeric) = -6.04799999997307500E-2 " "
absolute error = 2.68451927354362850000000000000E-13 " "
relative error = 4.4386892750391270000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2299999999999961 " "
y[1] (closed_form) = -5.84199999999991800E-2 " "
y[1] (numeric) = -5.841999999973073000E-2 " "
absolute error = 2.68444988460458940000000000000E-13 " "
relative error = 4.5950871013430790000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2199999999999961 " "
y[1] (closed_form) = -5.63199999999991700E-2 " "
y[1] (numeric) = -5.631999999973072000E-2 " "
absolute error = 2.68444988460458940000000000000E-13 " "
relative error = 4.7664238007894694000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.20999999999999608 " "
y[1] (closed_form) = -5.417999999999914000E-2 " "
y[1] (numeric) = -5.4179999999730700E-2 " "
absolute error = 2.68444988460458940000000000000E-13 " "
relative error = 4.9546878637959240000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.19999999999999607 " "
y[1] (closed_form) = -5.19999999999991400E-2 " "
y[1] (numeric) = -5.199999999973068000E-2 " "
absolute error = 2.68444988460458940000000000000E-13 " "
relative error = 5.1624036242396810000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.18999999999999606 " "
y[1] (closed_form) = -4.97799999999991140E-2 " "
y[1] (numeric) = -4.97799999997306730E-2 " "
absolute error = 2.68444988460458940000000000000E-13 " "
relative error = 5.3926273294588930000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.17999999999999605 " "
y[1] (closed_form) = -4.7519999999999096E-2 " "
y[1] (numeric) = -4.75199999997306600E-2 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 5.6489488545151540000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.16999999999999604 " "
y[1] (closed_form) = -4.52199999999990830E-2 " "
y[1] (numeric) = -4.521999999973063700E-2 " "
absolute error = 2.68444988460458940000000000000E-13 " "
relative error = 5.9364216820093850000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.15999999999999603 " "
y[1] (closed_form) = -4.28799999999990600E-2 " "
y[1] (numeric) = -4.28799999997306200E-2 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 6.2602157081753940000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.14999999999999603 " "
y[1] (closed_form) = -4.049999999999904000E-2 " "
y[1] (numeric) = -4.04999999997306100E-2 " "
absolute error = 2.68431110672651130000000000000E-13 " "
relative error = 6.6279286585841350000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.13999999999999602 " "
y[1] (closed_form) = -3.807999999999902600E-2 " "
y[1] (numeric) = -3.807999999973058500E-2 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 7.0493185285336630000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.129999999999996 " "
y[1] (closed_form) = -3.56199999999990100E-2 " "
y[1] (numeric) = -3.56199999997305670E-2 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 7.5361608525143890000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.119999999999996 " "
y[1] (closed_form) = -3.31199999999989900E-2 " "
y[1] (numeric) = -3.31199999997305540E-2 " "
absolute error = 2.68438049566555040000000000000E-13 " "
relative error = 8.1050135738696630000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.10999999999999599 " "
y[1] (closed_form) = -3.05799999999989700E-2 " "
y[1] (numeric) = -3.05799999997305400E-2 " "
absolute error = 2.6842764122569920000000000000E-13 " "
relative error = 8.7778823160794060000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -9.99999999999959800E-2 " "
y[1] (closed_form) = -2.799999999999895400E-2 " "
y[1] (numeric) = -2.79999999997305300E-2 " "
absolute error = 2.6842417177874720000000000000E-13 " "
relative error = 9.5865775635270440000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -8.99999999999959700E-2 " "
y[1] (closed_form) = -2.537999999999893700E-2 " "
y[1] (numeric) = -2.53799999997305100E-2 " "
absolute error = 2.6842764122569920000000000000E-13 " "
relative error = 1.0576345201958645000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -7.99999999999959600E-2 " "
y[1] (closed_form) = -2.271999999999892000E-2 " "
y[1] (numeric) = -2.271999999973049500E-2 " "
absolute error = 2.6842417177874720000000000000E-13 " "
relative error = 1.181444418040316900000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.99999999999959500E-2 " "
y[1] (closed_form) = -2.0019999999998900E-2 " "
y[1] (numeric) = -2.001999999973047600E-2 " "
absolute error = 2.6842417177874720000000000000E-13 " "
relative error = 1.3407800788149948000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -5.999999999999595000E-2 " "
y[1] (closed_form) = -1.727999999999888200E-2 " "
y[1] (numeric) = -1.72799999997304580E-2 " "
absolute error = 2.6842417177874720000000000000E-13 " "
relative error = 1.5533806237197023000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.99999999999959370E-2 " "
y[1] (closed_form) = -1.449999999999886000E-2 " "
y[1] (numeric) = -1.449999999973044200E-2 " "
absolute error = 2.6841896760831930000000000000E-13 " "
relative error = 1.8511652938506235000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.99999999999959300E-2 " "
y[1] (closed_form) = -1.167999999999884300E-2 " "
y[1] (numeric) = -1.167999999973042500E-2 " "
absolute error = 2.6841723288484330000000000000E-13 " "
relative error = 2.2980927473019683000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.99999999999959200E-2 " "
y[1] (closed_form) = -8.819999999998823000E-3 " "
y[1] (numeric) = -8.81999999973041000E-3 " "
absolute error = 2.68413763437891360000000000000E-13 " "
relative error = 3.043239948275818000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.99999999999959100E-2 " "
y[1] (closed_form) = -5.9199999999988050000E-3 " "
y[1] (numeric) = -5.9199999997303930000E-3 " "
absolute error = 2.6841202871441540000000000000E-13 " "
relative error = 4.533986971528202000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -9.999999999995901000E-3 " "
y[1] (closed_form) = -2.9799999999987864000E-3 " "
y[1] (numeric) = -2.9799999997303760000E-3 " "
absolute error = 2.6841029399093940000000000000E-13 " "
relative error = 9.007056845337205000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.100886297209172000000000000000E-15 " "
y[1] (closed_form) = 1.2302658891627548000000000000000E-15 " "
y[1] (numeric) = 2.6964091766681910000000000000E-13 " "
absolute error = 2.6841065177765633000000000000E-13 " "
relative error = 21817.287965312968 "%"
Desired digits = 8
Estimated correct digits = 0
Correct digits = -1
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.000000000000410300E-2 " "
y[1] (closed_form) = 3.0200000000012470000E-3 " "
y[1] (numeric) = 3.0200000002696575000E-3 " "
absolute error = 2.6841029399093940000000000000E-13 " "
relative error = 8.887758079166509000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.00000000000041120E-2 " "
y[1] (closed_form) = 6.080000000001267000E-3 " "
y[1] (numeric) = 6.080000000269674000E-3 " "
absolute error = 2.68407691905725440000000000000E-13 " "
relative error = 4.414600195816933000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.00000000000041230E-2 " "
y[1] (closed_form) = 9.180000000001286000E-3 " "
y[1] (numeric) = 9.18000000026968900E-3 " "
absolute error = 2.6840335509703550000000000000E-13 " "
relative error = 2.9237838245860337000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.00000000000041300E-2 " "
y[1] (closed_form) = 1.232000000000130500E-2 " "
y[1] (numeric) = 1.232000000026970700E-2 " "
absolute error = 2.6840162037355950000000000000E-13 " "
relative error = 2.178584580953986000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.00000000000041400E-2 " "
y[1] (closed_form) = 1.550000000000132400E-2 " "
y[1] (numeric) = 1.550000000026972300E-2 " "
absolute error = 2.68399885650083550000000000000E-13 " "
relative error = 1.731612165484262000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.00000000000041500E-2 " "
y[1] (closed_form) = 1.872000000000134400E-2 " "
y[1] (numeric) = 1.87200000002697400E-2 " "
absolute error = 2.6839641620313160000000000000E-13 " "
relative error = 1.4337415395465403000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 10
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.00000000000041600E-2 " "
y[1] (closed_form) = 2.198000000000136200E-2 " "
y[1] (numeric) = 2.198000000026975600E-2 " "
absolute error = 2.68392946756179640000000000000E-13 " "
relative error = 1.2210780107195768000000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.00000000000041700E-2 " "
y[1] (closed_form) = 2.52800000000013800E-2 " "
y[1] (numeric) = 2.52800000002697700E-2 " "
absolute error = 2.6838947730922770000000000000E-13 " "
relative error = 1.061667236191507100000000E-9 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 12
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.00000000000041800E-2 " "
y[1] (closed_form) = 2.8620000000001400E-2 " "
y[1] (numeric) = 2.862000000026978500E-2 " "
absolute error = 2.68386007862275730000000000000E-13 " "
relative error = 9.3775684088840880000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10000000000000418 " "
y[1] (closed_form) = 3.20000000000014200E-2 " "
y[1] (numeric) = 3.200000000026980700E-2 " "
absolute error = 2.6838253841532380000000000000E-13 " "
relative error = 8.3869543254784950000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11000000000000419 " "
y[1] (closed_form) = 3.54200000000014450E-2 " "
y[1] (numeric) = 3.54200000002698130E-2 " "
absolute error = 2.68368660627515960000000000000E-13 " "
relative error = 7.5767549584275840000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1200000000000042 " "
y[1] (closed_form) = 3.88800000000014630E-2 " "
y[1] (numeric) = 3.88800000002698400E-2 " "
absolute error = 2.68375599521419870000000000000E-13 " "
relative error = 6.9026645967440790000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1300000000000042 " "
y[1] (closed_form) = 4.23800000000014700E-2 " "
y[1] (numeric) = 4.238000000026986000E-2 " "
absolute error = 2.6838253841532380000000000000E-13 " "
relative error = 6.3327640022490430000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1400000000000042 " "
y[1] (closed_form) = 4.592000000000149300E-2 " "
y[1] (numeric) = 4.59200000002698670E-2 " "
absolute error = 2.68375599521419870000000000000E-13 " "
relative error = 5.8444163658843900000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1500000000000042 " "
y[1] (closed_form) = 4.950000000000151500E-2 " "
y[1] (numeric) = 4.950000000026988400E-2 " "
absolute error = 2.68368660627515960000000000000E-13 " "
relative error = 5.4215891035860150000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16000000000000422 " "
y[1] (closed_form) = 5.312000000000153000E-2 " "
y[1] (numeric) = 5.31200000002699100E-2 " "
absolute error = 2.68375599521419870000000000000E-13 " "
relative error = 5.0522514970145350000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17000000000000423 " "
y[1] (closed_form) = 5.67800000000015500E-2 " "
y[1] (numeric) = 5.67800000002699300E-2 " "
absolute error = 2.68375599521419870000000000000E-13 " "
relative error = 4.7265868179185020000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18000000000000424 " "
y[1] (closed_form) = 6.048000000000158000E-2 " "
y[1] (numeric) = 6.048000000026994000E-2 " "
absolute error = 2.68361721733612060000000000000E-13 " "
relative error = 4.43719777998685670000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19000000000000425 " "
y[1] (closed_form) = 6.4220000000001600E-2 " "
y[1] (numeric) = 6.42200000002699400E-2 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 4.17846317427427060000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20000000000000426 " "
y[1] (closed_form) = 6.80000000000016100E-2 " "
y[1] (numeric) = 6.80000000002699600E-2 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 3.94618978017491130000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21000000000000427 " "
y[1] (closed_form) = 7.18200000000016400E-2 " "
y[1] (numeric) = 7.18200000002699900E-2 " "
absolute error = 2.68354782839708150000000000000E-13 " "
relative error = 3.7364909891353670000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22000000000000428 " "
y[1] (closed_form) = 7.56800000000016600E-2 " "
y[1] (numeric) = 7.56800000002700E-2 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 3.5457307749986050000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23000000000000428 " "
y[1] (closed_form) = 7.95800000000016700E-2 " "
y[1] (numeric) = 7.95800000002700100E-2 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 3.3719641248039040000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2400000000000043 " "
y[1] (closed_form) = 8.3520000000001700E-2 " "
y[1] (numeric) = 8.35200000002700300E-2 " "
absolute error = 2.6832702726409250000000000000E-13 " "
relative error = 3.212727816859280000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2500000000000043 " "
y[1] (closed_form) = 8.7500000000001700E-2 " "
y[1] (numeric) = 8.75000000002700500E-2 " "
absolute error = 2.68354782839708150000000000000E-13 " "
relative error = 3.06691180388231950000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2600000000000043 " "
y[1] (closed_form) = 9.15200000000017200E-2 " "
y[1] (numeric) = 9.15200000002700600E-2 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 2.9320466024027020000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2700000000000043 " "
y[1] (closed_form) = 9.55800000000017500E-2 " "
y[1] (numeric) = 9.55800000002700900E-2 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 2.8075005759771443000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2800000000000043 " "
y[1] (closed_form) = 9.96800000000017700E-2 " "
y[1] (numeric) = 9.96800000002701100E-2 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 2.6920235258015207000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2900000000000043 " "
y[1] (closed_form) = 0.10382000000000179 " "
y[1] (numeric) = 0.10382000000027013 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 2.58467448518489460000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3000000000000043 " "
y[1] (closed_form) = 0.1080000000000018 " "
y[1] (numeric) = 0.10800000000027014 " "
absolute error = 2.68340905051900340000000000000E-13 " "
relative error = 2.4846380097397770000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3100000000000043 " "
y[1] (closed_form) = 0.11222000000000183 " "
y[1] (numeric) = 0.11222000000027016 " "
absolute error = 2.6832702726409250000000000000E-13 " "
relative error = 2.3910802643386930000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.32000000000000434 " "
y[1] (closed_form) = 0.11648000000000185 " "
y[1] (numeric) = 0.11648000000027017 " "
absolute error = 2.6832702726409250000000000000E-13 " "
relative error = 2.30363175879196640000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.33000000000000435 " "
y[1] (closed_form) = 0.12078000000000187 " "
y[1] (numeric) = 0.12078000000027019 " "
absolute error = 2.6831314947628470000000000000E-13 " "
relative error = 2.22150314188011730000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.34000000000000435 " "
y[1] (closed_form) = 0.1251200000000019 " "
y[1] (numeric) = 0.1251200000002702 " "
absolute error = 2.6831314947628470000000000000E-13 " "
relative error = 2.14444652714418650000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.35000000000000436 " "
y[1] (closed_form) = 0.12950000000000192 " "
y[1] (numeric) = 0.1295000000002702 " "
absolute error = 2.6828539390066910000000000000E-13 " "
relative error = 2.07170188340281950000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.36000000000000437 " "
y[1] (closed_form) = 0.13392000000000193 " "
y[1] (numeric) = 0.13392000000027024 " "
absolute error = 2.6831314947628470000000000000E-13 " "
relative error = 2.00353307553973150000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3700000000000044 " "
y[1] (closed_form) = 0.13838000000000195 " "
y[1] (numeric) = 0.13838000000027026 " "
absolute error = 2.6831314947628470000000000000E-13 " "
relative error = 1.93895902208614630000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3800000000000044 " "
y[1] (closed_form) = 0.14288000000000198 " "
y[1] (numeric) = 0.14288000000027026 " "
absolute error = 2.6828539390066910000000000000E-13 " "
relative error = 1.87769732573254050000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3900000000000044 " "
y[1] (closed_form) = 0.147420000000002 " "
y[1] (numeric) = 0.14742000000027028 " "
absolute error = 2.6828539390066910000000000000E-13 " "
relative error = 1.81987107516392240000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4000000000000044 " "
y[1] (closed_form) = 0.15200000000000202 " "
y[1] (numeric) = 0.1520000000002703 " "
absolute error = 2.6828539390066910000000000000E-13 " "
relative error = 1.7650354861885890000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4100000000000044 " "
y[1] (closed_form) = 0.15662000000000204 " "
y[1] (numeric) = 0.15662000000027032 " "
absolute error = 2.6828539390066910000000000000E-13 " "
relative error = 1.71297020751286920000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4200000000000044 " "
y[1] (closed_form) = 0.1612800000000021 " "
y[1] (numeric) = 0.16128000000027032 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.66313171347615530000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43000000000000443 " "
y[1] (closed_form) = 0.1659800000000021 " "
y[1] (numeric) = 0.16598000000027036 " "
absolute error = 2.68257638325053450000000000000E-13 " "
relative error = 1.61620459287293680000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.44000000000000444 " "
y[1] (closed_form) = 0.17072000000000212 " "
y[1] (numeric) = 0.17072000000027038 " "
absolute error = 2.68257638325053450000000000000E-13 " "
relative error = 1.57133105860502660000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.45000000000000445 " "
y[1] (closed_form) = 0.17550000000000215 " "
y[1] (numeric) = 0.17550000000027038 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.52837540028167820000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.46000000000000446 " "
y[1] (closed_form) = 0.18032000000000217 " "
y[1] (numeric) = 0.1803200000002704 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.4875215325501030000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.47000000000000447 " "
y[1] (closed_form) = 0.18518000000000218 " "
y[1] (numeric) = 0.18518000000027043 " "
absolute error = 2.68257638325053450000000000000E-13 " "
relative error = 1.44863180864591350000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4800000000000045 " "
y[1] (closed_form) = 0.19008000000000222 " "
y[1] (numeric) = 0.19008000000027045 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.41114205991916370000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4900000000000045 " "
y[1] (closed_form) = 0.19502000000000225 " "
y[1] (numeric) = 0.19502000000027045 " "
absolute error = 2.6820212717382220000000000000E-13 " "
relative error = 1.37525447222756170000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5000000000000044 " "
y[1] (closed_form) = 0.20000000000000223 " "
y[1] (numeric) = 0.20000000000027046 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.3411494137471740000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5100000000000044 " "
y[1] (closed_form) = 0.20502000000000226 " "
y[1] (numeric) = 0.20502000000027049 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.30831081235701300000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5200000000000045 " "
y[1] (closed_form) = 0.21008000000000226 " "
y[1] (numeric) = 0.2100800000002705 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.27679875642343370000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5300000000000045 " "
y[1] (closed_form) = 0.21518000000000229 " "
y[1] (numeric) = 0.21518000000027052 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.24653723742650340000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5400000000000045 " "
y[1] (closed_form) = 0.2203200000000023 " "
y[1] (numeric) = 0.22032000000027055 " "
absolute error = 2.68257638325053450000000000000E-13 " "
relative error = 1.217581873298160100000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5500000000000045 " "
y[1] (closed_form) = 0.22550000000000234 " "
y[1] (numeric) = 0.22550000000027057 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.18948950221478940000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5600000000000045 " "
y[1] (closed_form) = 0.23072000000000237 " "
y[1] (numeric) = 0.23072000000027057 " "
absolute error = 2.6820212717382220000000000000E-13 " "
relative error = 1.16245720862439090000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5700000000000045 " "
y[1] (closed_form) = 0.23598000000000235 " "
y[1] (numeric) = 0.23598000000027058 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.1366636272117771000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5800000000000045 " "
y[1] (closed_form) = 0.24128000000000238 " "
y[1] (numeric) = 0.2412800000002706 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.11169546895488720000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5900000000000045 " "
y[1] (closed_form) = 0.24662000000000242 " "
y[1] (numeric) = 0.24662000000027062 " "
absolute error = 2.6820212717382220000000000000E-13 " "
relative error = 1.0875116664253490000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6000000000000045 " "
y[1] (closed_form) = 0.25200000000000244 " "
y[1] (numeric) = 0.2520000000002707 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.06440429662474290000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6100000000000045 " "
y[1] (closed_form) = 0.2574200000000025 " "
y[1] (numeric) = 0.2574200000002707 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.04199317360514050000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6200000000000045 " "
y[1] (closed_form) = 0.2628800000000025 " "
y[1] (numeric) = 0.26288000000027073 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.0203510451515340000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6300000000000046 " "
y[1] (closed_form) = 0.2683800000000025 " "
y[1] (numeric) = 0.26838000000027074 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 9.99440654107740200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6400000000000046 " "
y[1] (closed_form) = 0.27392000000000255 " "
y[1] (numeric) = 0.2739200000002708 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 9.7922708363549700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6500000000000046 " "
y[1] (closed_form) = 0.2795000000000026 " "
y[1] (numeric) = 0.27950000000027075 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 9.59478968150998500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6600000000000046 " "
y[1] (closed_form) = 0.2851200000000026 " "
y[1] (numeric) = 0.28512000000027077 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 9.40566679286630600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6700000000000046 " "
y[1] (closed_form) = 0.2907800000000026 " "
y[1] (numeric) = 0.2907800000002708 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 9.22449558942965200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6800000000000046 " "
y[1] (closed_form) = 0.29648000000000263 " "
y[1] (numeric) = 0.2964800000002708 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 9.04527696971816600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6900000000000046 " "
y[1] (closed_form) = 0.30222000000000265 " "
y[1] (numeric) = 0.3022200000002708 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 8.87348195348435600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7000000000000046 " "
y[1] (closed_form) = 0.30800000000000266 " "
y[1] (numeric) = 0.3080000000002709 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 8.70876242692972500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7100000000000046 " "
y[1] (closed_form) = 0.3138200000000027 " "
y[1] (numeric) = 0.3138200000002709 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 8.54548376770773800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7200000000000046 " "
y[1] (closed_form) = 0.31968000000000274 " "
y[1] (numeric) = 0.3196800000002709 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 8.38883795039427800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7300000000000046 " "
y[1] (closed_form) = 0.32558000000000276 " "
y[1] (numeric) = 0.32558000000027093 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 8.2368195711715800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7400000000000047 " "
y[1] (closed_form) = 0.33152000000000276 " "
y[1] (numeric) = 0.33152000000027093 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 8.08923659502305500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7500000000000047 " "
y[1] (closed_form) = 0.3375000000000028 " "
y[1] (numeric) = 0.33750000000027097 " "
absolute error = 2.68174371598206560000000000000E-13 " "
relative error = 7.94590730661346200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7600000000000047 " "
y[1] (closed_form) = 0.3435200000000028 " "
y[1] (numeric) = 0.34352000000027094 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 7.80504367859143800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7700000000000047 " "
y[1] (closed_form) = 0.34958000000000283 " "
y[1] (numeric) = 0.34958000000027095 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 7.66974256098670300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7800000000000047 " "
y[1] (closed_form) = 0.3556800000000029 " "
y[1] (numeric) = 0.355680000000271 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 7.53820457846865500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7900000000000047 " "
y[1] (closed_form) = 0.3618200000000029 " "
y[1] (numeric) = 0.361820000000271 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 7.40874880591846600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8000000000000047 " "
y[1] (closed_form) = 0.3680000000000029 " "
y[1] (numeric) = 0.368000000000271 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 7.28583859910253300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8100000000000047 " "
y[1] (closed_form) = 0.37422000000000294 " "
y[1] (numeric) = 0.37422000000027106 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 7.16473893557194300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8200000000000047 " "
y[1] (closed_form) = 0.3804800000000029 " "
y[1] (numeric) = 0.38048000000027105 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 7.0468581908897510000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8300000000000047 " "
y[1] (closed_form) = 0.386780000000003 " "
y[1] (numeric) = 0.3867800000002711 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 6.93064143171161800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8400000000000047 " "
y[1] (closed_form) = 0.393120000000003 " "
y[1] (numeric) = 0.39312000000027114 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 6.82028033290021500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8500000000000048 " "
y[1] (closed_form) = 0.399500000000003 " "
y[1] (numeric) = 0.39950000000027114 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 6.71136071206441300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8600000000000048 " "
y[1] (closed_form) = 0.40592000000000306 " "
y[1] (numeric) = 0.4059200000002712 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 6.60521433895775800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8700000000000048 " "
y[1] (closed_form) = 0.4123800000000031 " "
y[1] (numeric) = 0.4123800000002712 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 6.50174257837366700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8800000000000048 " "
y[1] (closed_form) = 0.4188800000000031 " "
y[1] (numeric) = 0.4188800000002712 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 6.40085132847052500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8900000000000048 " "
y[1] (closed_form) = 0.42542000000000313 " "
y[1] (numeric) = 0.42542000000027125 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 6.30245076505508300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9000000000000048 " "
y[1] (closed_form) = 0.43200000000000316 " "
y[1] (numeric) = 0.4320000000002712 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 6.20517012258662300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9100000000000048 " "
y[1] (closed_form) = 0.4386200000000032 " "
y[1] (numeric) = 0.43862000000027124 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 6.11151678664315600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9200000000000048 " "
y[1] (closed_form) = 0.44528000000000323 " "
y[1] (numeric) = 0.4452800000002713 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 6.02010755694713600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9300000000000048 " "
y[1] (closed_form) = 0.4519800000000032 " "
y[1] (numeric) = 0.4519800000002713 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 5.93086750068016700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9400000000000048 " "
y[1] (closed_form) = 0.45872000000000324 " "
y[1] (numeric) = 0.4587200000002713 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 5.84372491488799700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9500000000000048 " "
y[1] (closed_form) = 0.46550000000000324 " "
y[1] (numeric) = 0.46550000000027136 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 5.75980366158911800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9600000000000048 " "
y[1] (closed_form) = 0.4723200000000033 " "
y[1] (numeric) = 0.47232000000027136 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 5.67546047797557100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9700000000000049 " "
y[1] (closed_form) = 0.4791800000000033 " "
y[1] (numeric) = 0.4791800000002714 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 5.594209885549110000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9800000000000049 " "
y[1] (closed_form) = 0.48608000000000334 " "
y[1] (numeric) = 0.4860800000002714 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 5.514798989790615000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9900000000000049 " "
y[1] (closed_form) = 0.49302000000000334 " "
y[1] (numeric) = 0.4930200000002714 " "
absolute error = 2.68063349295744050000000000000E-13 " "
relative error = 5.43716987740339600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0000000000000049 " "
y[1] (closed_form) = 0.5000000000000033 " "
y[1] (numeric) = 0.5000000000002714 " "
absolute error = 2.6811886044697530000000000000E-13 " "
relative error = 5.362377208939471000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0100000000000038 " "
y[1] (closed_form) = 0.5070200000000027 " "
y[1] (numeric) = 0.5070200000002715 " "
absolute error = 2.6878499426175040000000000000E-13 " "
relative error = 5.30127005368129400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0200000000000027 " "
y[1] (closed_form) = 0.5140800000000019 " "
y[1] (numeric) = 0.5140800000002715 " "
absolute error = 2.6967317268145050000000000000E-13 " "
relative error = 5.24574332169019500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0300000000000016 " "
y[1] (closed_form) = 0.5211800000000011 " "
y[1] (numeric) = 0.5211800000002715 " "
absolute error = 2.70450328798688130000000000000E-13 " "
relative error = 5.189192386482359000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0400000000000005 " "
y[1] (closed_form) = 0.5283200000000003 " "
y[1] (numeric) = 0.5283200000002716 " "
absolute error = 2.71227484915925740000000000000E-13 " "
relative error = 5.133772806555224000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0499999999999994 " "
y[1] (closed_form) = 0.5354999999999995 " "
y[1] (numeric) = 0.5355000000002715 " "
absolute error = 2.72004641033163350000000000000E-13 " "
relative error = 5.079451746651048000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0599999999999983 " "
y[1] (closed_form) = 0.5427199999999988 " "
y[1] (numeric) = 0.5427200000002715 " "
absolute error = 2.72781797150400960000000000000E-13 " "
relative error = 5.026197618484699000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0699999999999972 " "
y[1] (closed_form) = 0.5499799999999979 " "
y[1] (numeric) = 0.5499800000002715 " "
absolute error = 2.73558953267638570000000000000E-13 " "
relative error = 4.97398002232153200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.079999999999996 " "
y[1] (closed_form) = 0.5572799999999971 " "
y[1] (numeric) = 0.5572800000002714 " "
absolute error = 2.7433610938487620000000000000E-13 " "
relative error = 4.922769691804435600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.089999999999995 " "
y[1] (closed_form) = 0.5646199999999962 " "
y[1] (numeric) = 0.5646200000002715 " "
absolute error = 2.7522428780457630000000000000E-13 " "
relative error = 4.8745047608051100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0999999999999939 " "
y[1] (closed_form) = 0.5719999999999954 " "
y[1] (numeric) = 0.5720000000002714 " "
absolute error = 2.7600144392181390000000000000E-13 " "
relative error = 4.82520006856321900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1099999999999928 " "
y[1] (closed_form) = 0.5794199999999946 " "
y[1] (numeric) = 0.5794200000002714 " "
absolute error = 2.76778600039051500000000000000E-13 " "
relative error = 4.776821649909463000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1199999999999917 " "
y[1] (closed_form) = 0.5868799999999937 " "
y[1] (numeric) = 0.5868800000002713 " "
absolute error = 2.77555756156289140000000000000E-13 " "
relative error = 4.72934426384085500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1299999999999906 " "
y[1] (closed_form) = 0.5943799999999928 " "
y[1] (numeric) = 0.5943800000002712 " "
absolute error = 2.78443934575989260000000000000E-13 " "
relative error = 4.68461143672385700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1399999999999895 " "
y[1] (closed_form) = 0.601919999999992 " "
y[1] (numeric) = 0.6019200000002712 " "
absolute error = 2.79221090693226870000000000000E-13 " "
relative error = 4.63884055511082200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1499999999999884 " "
y[1] (closed_form) = 0.609499999999991 " "
y[1] (numeric) = 0.6095000000002712 " "
absolute error = 2.801092691129270000000000000E-13 " "
relative error = 4.595722216783118500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1599999999999873 " "
y[1] (closed_form) = 0.6171199999999902 " "
y[1] (numeric) = 0.6171200000002711 " "
absolute error = 2.8088642523016460000000000000E-13 " "
relative error = 4.55156898545127400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1699999999999862 " "
y[1] (closed_form) = 0.6247799999999893 " "
y[1] (numeric) = 0.624780000000271 " "
absolute error = 2.8166358134740220000000000000E-13 " "
relative error = 4.508204189433192600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.179999999999985 " "
y[1] (closed_form) = 0.6324799999999884 " "
y[1] (numeric) = 0.6324800000002709 " "
absolute error = 2.82551759767102340000000000000E-13 " "
relative error = 4.467362758776680700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.189999999999984 " "
y[1] (closed_form) = 0.6402199999999876 " "
y[1] (numeric) = 0.6402200000002709 " "
absolute error = 2.83328915884339950000000000000E-13 " "
relative error = 4.42549304745783360000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1999999999999829 " "
y[1] (closed_form) = 0.6479999999999866 " "
y[1] (numeric) = 0.6480000000002708 " "
absolute error = 2.84217094304040100000000000000E-13 " "
relative error = 4.38606627012416600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2099999999999818 " "
y[1] (closed_form) = 0.6558199999999856 " "
y[1] (numeric) = 0.6558200000002707 " "
absolute error = 2.8510527272374020000000000000E-13 " "
relative error = 4.347309821654515300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2199999999999807 " "
y[1] (closed_form) = 0.6636799999999847 " "
y[1] (numeric) = 0.6636800000002707 " "
absolute error = 2.8599345114344030000000000000E-13 " "
relative error = 4.30920701457700900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2299999999999796 " "
y[1] (closed_form) = 0.6715799999999839 " "
y[1] (numeric) = 0.6715800000002706 " "
absolute error = 2.86770607260677930000000000000E-13 " "
relative error = 4.27008855625070400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2399999999999785 " "
y[1] (closed_form) = 0.6795199999999828 " "
y[1] (numeric) = 0.6795200000002706 " "
absolute error = 2.8776980798284060000000000000E-13 " "
relative error = 4.23489828088721270000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2499999999999774 " "
y[1] (closed_form) = 0.6874999999999818 " "
y[1] (numeric) = 0.6875000000002705 " "
absolute error = 2.8865798640254070000000000000E-13 " "
relative error = 4.19866162040070300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2599999999999763 " "
y[1] (closed_form) = 0.6955199999999809 " "
y[1] (numeric) = 0.6955200000002704 " "
absolute error = 2.8943514251977830000000000000E-13 " "
relative error = 4.161420843682226400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2699999999999751 " "
y[1] (closed_form) = 0.7035799999999799 " "
y[1] (numeric) = 0.7035800000002703 " "
absolute error = 2.90434343241940950000000000000E-13 " "
relative error = 4.127950527899446600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.279999999999974 " "
y[1] (closed_form) = 0.711679999999979 " "
y[1] (numeric) = 0.7116800000002702 " "
absolute error = 2.91211499359178560000000000000E-13 " "
relative error = 4.09188819917922600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.289999999999973 " "
y[1] (closed_form) = 0.7198199999999779 " "
y[1] (numeric) = 0.7198200000002701 " "
absolute error = 2.9221070008134120000000000000E-13 " "
relative error = 4.059496819779252500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2999999999999718 " "
y[1] (closed_form) = 0.7279999999999769 " "
y[1] (numeric) = 0.7280000000002701 " "
absolute error = 2.93209900803503840000000000000E-13 " "
relative error = 4.02760852752078460000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3099999999999707 " "
y[1] (closed_form) = 0.7362199999999759 " "
y[1] (numeric) = 0.73622000000027 " "
absolute error = 2.94098079223203970000000000000E-13 " "
relative error = 3.9947037464781400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3199999999999696 " "
y[1] (closed_form) = 0.7444799999999749 " "
y[1] (numeric) = 0.7444800000002698 " "
absolute error = 2.9487523534044160000000000000E-13 " "
relative error = 3.96082145041440350000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3299999999999685 " "
y[1] (closed_form) = 0.7527799999999738 " "
y[1] (numeric) = 0.7527800000002697 " "
absolute error = 2.9587443606260420000000000000E-13 " "
relative error = 3.93042371028208160000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3399999999999674 " "
y[1] (closed_form) = 0.7611199999999728 " "
y[1] (numeric) = 0.7611200000002696 " "
absolute error = 2.96762614482304340000000000000E-13 " "
relative error = 3.89902531115086940000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3499999999999663 " "
y[1] (closed_form) = 0.7694999999999718 " "
y[1] (numeric) = 0.7695000000002694 " "
absolute error = 2.97650792902004470000000000000E-13 " "
relative error = 3.868106470461538000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3599999999999652 " "
y[1] (closed_form) = 0.7779199999999706 " "
y[1] (numeric) = 0.7779200000002693 " "
absolute error = 2.9864999362416710000000000000E-13 " "
relative error = 3.83908362844737700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3699999999999641 " "
y[1] (closed_form) = 0.7863799999999697 " "
y[1] (numeric) = 0.7863800000002691 " "
absolute error = 2.9942714974140470000000000000E-13 " "
relative error = 3.80766486611328170000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.379999999999963 " "
y[1] (closed_form) = 0.7948799999999685 " "
y[1] (numeric) = 0.7948800000002689 " "
absolute error = 3.00426350463567360000000000000E-13 " "
relative error = 3.77951829790130900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.389999999999962 " "
y[1] (closed_form) = 0.8034199999999674 " "
y[1] (numeric) = 0.8034200000002688 " "
absolute error = 3.01425551185730000000000000E-13 " "
relative error = 3.75178052806430300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3999999999999608 " "
y[1] (closed_form) = 0.8119999999999663 " "
y[1] (numeric) = 0.8120000000002686 " "
absolute error = 3.02313729605430100000000000000E-13 " "
relative error = 3.72307548775175700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4099999999999597 " "
y[1] (closed_form) = 0.8206199999999653 " "
y[1] (numeric) = 0.8206200000002685 " "
absolute error = 3.03201908025130250000000000000E-13 " "
relative error = 3.69479062203142860000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4199999999999586 " "
y[1] (closed_form) = 0.829279999999964 " "
y[1] (numeric) = 0.8292800000002682 " "
absolute error = 3.0420110874729290000000000000E-13 " "
relative error = 3.66825570069585770000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4299999999999575 " "
y[1] (closed_form) = 0.837979999999963 " "
y[1] (numeric) = 0.8379800000002681 " "
absolute error = 3.050892871669930000000000000E-13 " "
relative error = 3.640770509642312600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4399999999999564 " "
y[1] (closed_form) = 0.8467199999999618 " "
y[1] (numeric) = 0.8467200000002679 " "
absolute error = 3.06088487889155660000000000000E-13 " "
relative error = 3.614990644949563300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4499999999999553 " "
y[1] (closed_form) = 0.8554999999999606 " "
y[1] (numeric) = 0.8555000000002677 " "
absolute error = 3.0708768861131830000000000000E-13 " "
relative error = 3.58956970907460500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4599999999999542 " "
y[1] (closed_form) = 0.8643199999999596 " "
y[1] (numeric) = 0.8643200000002675 " "
absolute error = 3.0797586703101840000000000000E-13 " "
relative error = 3.56321578849306800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4699999999999531 " "
y[1] (closed_form) = 0.8731799999999583 " "
y[1] (numeric) = 0.8731800000002674 " "
absolute error = 3.0908609005564360000000000000E-13 " "
relative error = 3.53977519017451500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.479999999999952 " "
y[1] (closed_form) = 0.8820799999999572 " "
y[1] (numeric) = 0.8820800000002672 " "
absolute error = 3.0997426847534370000000000000E-13 " "
relative error = 3.51412874654633060000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.489999999999951 " "
y[1] (closed_form) = 0.891019999999956 " "
y[1] (numeric) = 0.891020000000267 " "
absolute error = 3.11084491499968860000000000000E-13 " "
relative error = 3.491330065542684300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4999999999999498 " "
y[1] (closed_form) = 0.8999999999999548 " "
y[1] (numeric) = 0.9000000000002668 " "
absolute error = 3.119726699196690000000000000E-13 " "
relative error = 3.46636299910760700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5099999999999487 " "
y[1] (closed_form) = 0.9090199999999536 " "
y[1] (numeric) = 0.9090200000002666 " "
absolute error = 3.12971870641831630000000000000E-13 " "
relative error = 3.442959127872297600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5199999999999476 " "
y[1] (closed_form) = 0.9180799999999525 " "
y[1] (numeric) = 0.9180800000002665 " "
absolute error = 3.13971071363994270000000000000E-13 " "
relative error = 3.419866148527477000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5299999999999465 " "
y[1] (closed_form) = 0.9271799999999513 " "
y[1] (numeric) = 0.9271800000002662 " "
absolute error = 3.1497027208615690000000000000E-13 " "
relative error = 3.3970779361739195000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5399999999999454 " "
y[1] (closed_form) = 0.9363199999999501 " "
y[1] (numeric) = 0.936320000000266 " "
absolute error = 3.15969472808319550000000000000E-13 " "
relative error = 3.374588525379532700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5499999999999443 " "
y[1] (closed_form) = 0.9454999999999487 " "
y[1] (numeric) = 0.9455000000002659 " "
absolute error = 3.1719071813540720000000000000E-13 " "
relative error = 3.35474054082944900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5599999999999432 " "
y[1] (closed_form) = 0.9547199999999476 " "
y[1] (numeric) = 0.9547200000002657 " "
absolute error = 3.18078896555107350000000000000E-13 " "
relative error = 3.33164589151923900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.569999999999942 " "
y[1] (closed_form) = 0.9639799999999463 " "
y[1] (numeric) = 0.9639800000002654 " "
absolute error = 3.19078097277270000000000000E-13 " "
relative error = 3.31000744079013800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.579999999999941 " "
y[1] (closed_form) = 0.9732799999999451 " "
y[1] (numeric) = 0.9732800000002652 " "
absolute error = 3.20077297999432630000000000000E-13 " "
relative error = 3.288645590163681000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.58999999999994 " "
y[1] (closed_form) = 0.9826199999999439 " "
y[1] (numeric) = 0.982620000000265 " "
absolute error = 3.21076498721595270000000000000E-13 " "
relative error = 3.26755509476311900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5999999999999388 " "
y[1] (closed_form) = 0.9919999999999425 " "
y[1] (numeric) = 0.9920000000002647 " "
absolute error = 3.22186721746220430000000000000E-13 " "
relative error = 3.247850017603216600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6099999999999377 " "
y[1] (closed_form) = 1.0014199999999411 " "
y[1] (numeric) = 1.0014200000002644 " "
absolute error = 3.2329694477084560000000000000E-13 " "
relative error = 3.228385140808697000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6199999999999366 " "
y[1] (closed_form) = 1.0108799999999398 " "
y[1] (numeric) = 1.0108800000002645 " "
absolute error = 3.24629212400395800000000000000E-13 " "
relative error = 3.21135260763310300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6299999999999355 " "
y[1] (closed_form) = 1.0203799999999386 " "
y[1] (numeric) = 1.0203800000002639 " "
absolute error = 3.25295346215170870000000000000E-13 " "
relative error = 3.187982381222588000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6399999999999344 " "
y[1] (closed_form) = 1.0299199999999373 " "
y[1] (numeric) = 1.029920000000264 " "
absolute error = 3.26627613844721050000000000000E-13 " "
relative error = 3.17138820340163200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6499999999999333 " "
y[1] (closed_form) = 1.039499999999936 " "
y[1] (numeric) = 1.0395000000002632 " "
absolute error = 3.27293747659496150000000000000E-13 " "
relative error = 3.14856900105354830000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6599999999999322 " "
y[1] (closed_form) = 1.0491199999999345 " "
y[1] (numeric) = 1.0491200000002634 " "
absolute error = 3.28848059893971370000000000000E-13 " "
relative error = 3.134513305379669000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.669999999999931 " "
y[1] (closed_form) = 1.0587799999999334 " "
y[1] (numeric) = 1.0587800000002627 " "
absolute error = 3.29292149103821430000000000000E-13 " "
relative error = 3.11010926825064800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.67999999999993 " "
y[1] (closed_form) = 1.0684799999999322 " "
y[1] (numeric) = 1.068480000000263 " "
absolute error = 3.30846461338296650000000000000E-13 " "
relative error = 3.09642165822774100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.689999999999929 " "
y[1] (closed_form) = 1.0782199999999307 " "
y[1] (numeric) = 1.0782200000002622 " "
absolute error = 3.31512595153071740000000000000E-13 " "
relative error = 3.07462850951654600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6999999999999278 " "
y[1] (closed_form) = 1.0879999999999295 " "
y[1] (numeric) = 1.0880000000002623 " "
absolute error = 3.32844862782621930000000000000E-13 " "
relative error = 3.05923587116400300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7099999999999267 " "
y[1] (closed_form) = 1.097819999999928 " "
y[1] (numeric) = 1.0978200000002616 " "
absolute error = 3.335109965973970000000000000E-13 " "
relative error = 3.037938793221282600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7199999999999256 " "
y[1] (closed_form) = 1.1076799999999265 " "
y[1] (numeric) = 1.1076800000002616 " "
absolute error = 3.35065308831872240000000000000E-13 " "
relative error = 3.02492875949637530000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7299999999999245 " "
y[1] (closed_form) = 1.1175799999999252 " "
y[1] (numeric) = 1.117580000000261 " "
absolute error = 3.35731442646647340000000000000E-13 " "
relative error = 3.00409315348046500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7399999999999234 " "
y[1] (closed_form) = 1.1275199999999237 " "
y[1] (numeric) = 1.127520000000261 " "
absolute error = 3.37285754881122560000000000000E-13 " "
relative error = 2.99139487442480260000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7499999999999223 " "
y[1] (closed_form) = 1.1374999999999225 " "
y[1] (numeric) = 1.1375000000002604 " "
absolute error = 3.37951888695897650000000000000E-13 " "
relative error = 2.97100561490919350000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7599999999999212 " "
y[1] (closed_form) = 1.147519999999921 " "
y[1] (numeric) = 1.1475200000002603 " "
absolute error = 3.39284156325447840000000000000E-13 " "
relative error = 2.95667314143083500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.76999999999992 " "
y[1] (closed_form) = 1.1575799999999195 " "
y[1] (numeric) = 1.1575800000002598 " "
absolute error = 3.403943793500730000000000000E-13 " "
relative error = 2.94056893994451060000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.779999999999919 " "
y[1] (closed_form) = 1.1676799999999181 " "
y[1] (numeric) = 1.1676800000002596 " "
absolute error = 3.41504602374698150000000000000E-13 " "
relative error = 2.92464204554948400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7899999999999179 " "
y[1] (closed_form) = 1.1778199999999166 " "
y[1] (numeric) = 1.1778200000002592 " "
absolute error = 3.4261482539932330000000000000E-13 " "
relative error = 2.908889519615455700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7999999999999168 " "
y[1] (closed_form) = 1.1879999999999153 " "
y[1] (numeric) = 1.1880000000002588 " "
absolute error = 3.43503003819023430000000000000E-13 " "
relative error = 2.89143942608626200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8099999999999157 " "
y[1] (closed_form) = 1.1982199999999137 " "
y[1] (numeric) = 1.1982200000002585 " "
absolute error = 3.4483527144857360000000000000E-13 " "
relative error = 2.87789614134798700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8199999999999146 " "
y[1] (closed_form) = 1.2084799999999123 " "
y[1] (numeric) = 1.2084800000002582 " "
absolute error = 3.4594549447319880000000000000E-13 " "
relative error = 2.862649729190585600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8299999999999135 " "
y[1] (closed_form) = 1.218779999999911 " "
y[1] (numeric) = 1.218780000000258 " "
absolute error = 3.47055717497823930000000000000E-13 " "
relative error = 2.847566562446457000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8399999999999124 " "
y[1] (closed_form) = 1.2291199999999094 " "
y[1] (numeric) = 1.2291200000002576 " "
absolute error = 3.4816594052244910000000000000E-13 " "
relative error = 2.832644009718129400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8499999999999113 " "
y[1] (closed_form) = 1.2394999999999077 " "
y[1] (numeric) = 1.2395000000002574 " "
absolute error = 3.4972025275692430000000000000E-13 " "
relative error = 2.821462305421140000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8599999999999102 " "
y[1] (closed_form) = 1.2499199999999062 " "
y[1] (numeric) = 1.2499200000002568 " "
absolute error = 3.50608431176624440000000000000E-13 " "
relative error = 2.80504697241944100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.869999999999909 " "
y[1] (closed_form) = 1.2603799999999048 " "
y[1] (numeric) = 1.2603800000002567 " "
absolute error = 3.5194069880617460000000000000E-13 " "
relative error = 2.792338015568330300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.879999999999908 " "
y[1] (closed_form) = 1.2708799999999032 " "
y[1] (numeric) = 1.270880000000256 " "
absolute error = 3.52828877225874750000000000000E-13 " "
relative error = 2.77625643039391300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8899999999999069 " "
y[1] (closed_form) = 1.2814199999999016 " "
y[1] (numeric) = 1.281420000000256 " "
absolute error = 3.54383189460349970000000000000E-13 " "
relative error = 2.765550634923578000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8999999999999058 " "
y[1] (closed_form) = 1.2919999999999003 " "
y[1] (numeric) = 1.2920000000002552 " "
absolute error = 3.54827278670200030000000000000E-13 " "
relative error = 2.746341166178230500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9099999999999047 " "
y[1] (closed_form) = 1.3026199999998986 " "
y[1] (numeric) = 1.3026200000002552 " "
absolute error = 3.5660363550960030000000000000E-13 " "
relative error = 2.737587596610124300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9199999999999036 " "
y[1] (closed_form) = 1.3132799999998972 " "
y[1] (numeric) = 1.3132800000002545 " "
absolute error = 3.57269769324375400000000000000E-13 " "
relative error = 2.720438667492106000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9299999999999025 " "
y[1] (closed_form) = 1.3239799999998956 " "
y[1] (numeric) = 1.3239800000002546 " "
absolute error = 3.5904612616377560000000000000E-13 " "
relative error = 2.71186971226003400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9399999999999014 " "
y[1] (closed_form) = 1.334719999999894 " "
y[1] (numeric) = 1.3347200000002537 " "
absolute error = 3.5971225997855070000000000000E-13 " "
relative error = 2.69503910916581200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9499999999999003 " "
y[1] (closed_form) = 1.3454999999998924 " "
y[1] (numeric) = 1.3455000000002537 " "
absolute error = 3.61266572213025940000000000000E-13 " "
relative error = 2.684998678655182700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9599999999998992 " "
y[1] (closed_form) = 1.3563199999998907 " "
y[1] (numeric) = 1.3563200000002529 " "
absolute error = 3.62154750632726060000000000000E-13 " "
relative error = 2.670127629414557000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.969999999999898 " "
y[1] (closed_form) = 1.3671799999998893 " "
y[1] (numeric) = 1.3671800000002527 " "
absolute error = 3.63487018262276250000000000000E-13 " "
relative error = 2.658662489667093500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.979999999999897 " "
y[1] (closed_form) = 1.3780799999998874 " "
y[1] (numeric) = 1.378080000000252 " "
absolute error = 3.6459724128690140000000000000E-13 " "
relative error = 2.64568995476990600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9899999999998959 " "
y[1] (closed_form) = 1.3890199999998858 " "
y[1] (numeric) = 1.389020000000252 " "
absolute error = 3.66151553521376600000000000000E-13 " "
relative error = 2.636042342956953500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9999999999998948 " "
y[1] (closed_form) = 1.3999999999998844 " "
y[1] (numeric) = 1.4000000000002513 " "
absolute error = 3.6681768733615170000000000000E-13 " "
relative error = 2.620126338115585400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0099999999998936 " "
y[1] (closed_form) = 1.4110199999998827 " "
y[1] (numeric) = 1.411020000000251 " "
absolute error = 3.68371999570626940000000000000E-13 " "
relative error = 2.610678796690745000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0199999999998925 " "
y[1] (closed_form) = 1.422079999999881 " "
y[1] (numeric) = 1.4220800000002505 " "
absolute error = 3.6948222259525210000000000000E-13 " "
relative error = 2.59818169579266300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0299999999998914 " "
y[1] (closed_form) = 1.4331799999998793 " "
y[1] (numeric) = 1.4331800000002501 " "
absolute error = 3.7081449022480230000000000000E-13 " "
relative error = 2.587354625551804300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0399999999998903 " "
y[1] (closed_form) = 1.4443199999998777 " "
y[1] (numeric) = 1.4443200000002496 " "
absolute error = 3.71924713249427440000000000000E-13 " "
relative error = 2.57508525291804400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0499999999998892 " "
y[1] (closed_form) = 1.455499999999876 " "
y[1] (numeric) = 1.4555000000002492 " "
absolute error = 3.73256980878977630000000000000E-13 " "
relative error = 2.564458817444242300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.059999999999888 " "
y[1] (closed_form) = 1.4667199999998743 " "
y[1] (numeric) = 1.4667200000002487 " "
absolute error = 3.7436720390360280000000000000E-13 " "
relative error = 2.552410848039400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.069999999999887 " "
y[1] (closed_form) = 1.4779799999998726 " "
y[1] (numeric) = 1.4779800000002483 " "
absolute error = 3.75699471533153000000000000000E-13 " "
relative error = 2.541979401163651500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.079999999999886 " "
y[1] (closed_form) = 1.489279999999871 " "
y[1] (numeric) = 1.489280000000248 " "
absolute error = 3.77031739162703160000000000000E-13 " "
relative error = 2.531637698503544400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.089999999999885 " "
y[1] (closed_form) = 1.5006199999998693 " "
y[1] (numeric) = 1.5006200000002474 " "
absolute error = 3.7814196218732830000000000000E-13 " "
relative error = 2.519904853909459300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0999999999998837 " "
y[1] (closed_form) = 1.5119999999998677 " "
y[1] (numeric) = 1.5120000000002471 " "
absolute error = 3.7947422981687850000000000000E-13 " "
relative error = 2.50975019720179700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1099999999998826 " "
y[1] (closed_form) = 1.5234199999998659 " "
y[1] (numeric) = 1.5234200000002465 " "
absolute error = 3.80584452841503660000000000000E-13 " "
relative error = 2.498224080303115300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999998815 " "
y[1] (closed_form) = 1.5348799999998641 " "
y[1] (numeric) = 1.5348800000002463 " "
absolute error = 3.8213876507597890000000000000E-13 " "
relative error = 2.489697989914603800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1299999999998804 " "
y[1] (closed_form) = 1.5463799999998624 " "
y[1] (numeric) = 1.5463800000002454 " "
absolute error = 3.830269434956790000000000000E-13 " "
relative error = 2.476926392579528200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1399999999998793 " "
y[1] (closed_form) = 1.5579199999998607 " "
y[1] (numeric) = 1.5579200000002453 " "
absolute error = 3.84581255730154200000000000000E-13 " "
relative error = 2.468555867632411200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1499999999998782 " "
y[1] (closed_form) = 1.569499999999859 " "
y[1] (numeric) = 1.5695000000002444 " "
absolute error = 3.85469434149854350000000000000E-13 " "
relative error = 2.456001491875686400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.159999999999877 " "
y[1] (closed_form) = 1.581119999999857 " "
y[1] (numeric) = 1.5811200000002443 " "
absolute error = 3.8724579098925460000000000000E-13 " "
relative error = 2.44918659551007900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.169999999999876 " "
y[1] (closed_form) = 1.5927799999998553 " "
y[1] (numeric) = 1.5927800000002434 " "
absolute error = 3.88133969408954700000000000000E-13 " "
relative error = 2.436833520065482800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.179999999999875 " "
y[1] (closed_form) = 1.6044799999998536 " "
y[1] (numeric) = 1.6044800000002435 " "
absolute error = 3.899103262483550000000000000E-13 " "
relative error = 2.43013516060275300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.189999999999874 " "
y[1] (closed_form) = 1.6162199999998517 " "
y[1] (numeric) = 1.6162200000002425 " "
absolute error = 3.9079850466805510000000000000E-13 " "
relative error = 2.41797839816417920000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1999999999998727 " "
y[1] (closed_form) = 1.62799999999985 " "
y[1] (numeric) = 1.6280000000002424 " "
absolute error = 3.9235281690253030000000000000E-13 " "
relative error = 2.410029587853602400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2099999999998716 " "
y[1] (closed_form) = 1.639819999999848 " "
y[1] (numeric) = 1.6398200000002414 " "
absolute error = 3.9346303992715550000000000000E-13 " "
relative error = 2.39942822948367520000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2199999999998705 " "
y[1] (closed_form) = 1.6516799999998462 " "
y[1] (numeric) = 1.6516800000002412 " "
absolute error = 3.9501735216163070000000000000E-13 " "
relative error = 2.39160946528181900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2299999999998694 " "
y[1] (closed_form) = 1.6635799999998444 " "
y[1] (numeric) = 1.6635800000002403 " "
absolute error = 3.9590553058133080000000000000E-13 " "
relative error = 2.379840648368986800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2399999999998683 " "
y[1] (closed_form) = 1.6755199999998425 " "
y[1] (numeric) = 1.6755200000002402 " "
absolute error = 3.97681887420731100000000000000E-13 " "
relative error = 2.373483380805770600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.249999999999867 " "
y[1] (closed_form) = 1.6874999999998406 " "
y[1] (numeric) = 1.6875000000002394 " "
absolute error = 3.98792110445356230000000000000E-13 " "
relative error = 2.36321250634307500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.259999999999866 " "
y[1] (closed_form) = 1.699519999999839 " "
y[1] (numeric) = 1.699520000000239 " "
absolute error = 4.0012437807490640000000000000E-13 " "
relative error = 2.354337566341933600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.269999999999865 " "
y[1] (closed_form) = 1.7115799999998371 " "
y[1] (numeric) = 1.7115800000002384 " "
absolute error = 4.01234601099531600000000000000E-13 " "
relative error = 2.344235157571190000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.279999999999864 " "
y[1] (closed_form) = 1.7236799999998351 " "
y[1] (numeric) = 1.723680000000238 " "
absolute error = 4.0278891333400680000000000000E-13 " "
relative error = 2.33679635044814180000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.289999999999863 " "
y[1] (closed_form) = 1.7358199999998334 " "
y[1] (numeric) = 1.7358200000002373 " "
absolute error = 4.03899136358631950000000000000E-13 " "
relative error = 2.32684919149837400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2999999999998617 " "
y[1] (closed_form) = 1.7479999999998315 " "
y[1] (numeric) = 1.7480000000002367 " "
absolute error = 4.05231403988182140000000000000E-13 " "
relative error = 2.31825745988684880000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999998606 " "
y[1] (closed_form) = 1.7602199999998294 " "
y[1] (numeric) = 1.7602200000002362 " "
absolute error = 4.06785716222657360000000000000E-13 " "
relative error = 2.31099360433750800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3199999999998595 " "
y[1] (closed_form) = 1.7724799999998275 " "
y[1] (numeric) = 1.7724800000002356 " "
absolute error = 4.08117983852207540000000000000E-13 " "
relative error = 2.302525184217859800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3299999999998584 " "
y[1] (closed_form) = 1.7847799999998255 " "
y[1] (numeric) = 1.7847800000002352 " "
absolute error = 4.09672296086682760000000000000E-13 " "
relative error = 2.29536579346879100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3399999999998573 " "
y[1] (closed_form) = 1.7971199999998237 " "
y[1] (numeric) = 1.7971200000002345 " "
absolute error = 4.1078251911130790000000000000E-13 " "
relative error = 2.285782357946871700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.349999999999856 " "
y[1] (closed_form) = 1.8094999999998218 " "
y[1] (numeric) = 1.8095000000002341 " "
absolute error = 4.12336831345783140000000000000E-13 " "
relative error = 2.278733524983828400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.359999999999855 " "
y[1] (closed_form) = 1.8219199999998197 " "
y[1] (numeric) = 1.8219200000002334 " "
absolute error = 4.13669098975333300000000000000E-13 " "
relative error = 2.27051187195581700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.369999999999854 " "
y[1] (closed_form) = 1.8343799999998178 " "
y[1] (numeric) = 1.834380000000233 " "
absolute error = 4.15223411209808550000000000000E-13 " "
relative error = 2.263562681722706000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.379999999999853 " "
y[1] (closed_form) = 1.8468799999998158 " "
y[1] (numeric) = 1.8468800000002321 " "
absolute error = 4.1633363423443370000000000000E-13 " "
relative error = 2.254253845590808700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.389999999999852 " "
y[1] (closed_form) = 1.859419999999814 " "
y[1] (numeric) = 1.8594200000002319 " "
absolute error = 4.1788794646890890000000000000E-13 " "
relative error = 2.24741019494762200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3999999999998507 " "
y[1] (closed_form) = 1.871999999999812 " "
y[1] (numeric) = 1.8720000000002308 " "
absolute error = 4.18776124888609050000000000000E-13 " "
relative error = 2.237051949191512200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4099999999998496 " "
y[1] (closed_form) = 1.88461999999981 " "
y[1] (numeric) = 1.8846200000002307 " "
absolute error = 4.20774526332934330000000000000E-13 " "
relative error = 2.232675692356956600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4199999999998485 " "
y[1] (closed_form) = 1.897279999999808 " "
y[1] (numeric) = 1.8972800000002297 " "
absolute error = 4.21662704752634450000000000000E-13 " "
relative error = 2.22245901897810100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4299999999998474 " "
y[1] (closed_form) = 1.909979999999806 " "
y[1] (numeric) = 1.9099800000002296 " "
absolute error = 4.23661106196959740000000000000E-13 " "
relative error = 2.21814420149427120000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4399999999998463 " "
y[1] (closed_form) = 1.9227199999998041 " "
y[1] (numeric) = 1.9227200000002285 " "
absolute error = 4.24327240011734830000000000000E-13 " "
relative error = 2.206911250789392600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.449999999999845 " "
y[1] (closed_form) = 1.9354999999998022 " "
y[1] (numeric) = 1.9355000000002283 " "
absolute error = 4.2610359685113510000000000000E-13 " "
relative error = 2.201516904423552700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.459999999999844 " "
y[1] (closed_form) = 1.9483199999998 " "
y[1] (numeric) = 1.9483200000002272 " "
absolute error = 4.27213819875760240000000000000E-13 " "
relative error = 2.192729222488113400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.469999999999843 " "
y[1] (closed_form) = 1.961179999999798 " "
y[1] (numeric) = 1.9611800000002269 " "
absolute error = 4.28768132110235460000000000000E-13 " "
relative error = 2.186276283208474500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.479999999999842 " "
y[1] (closed_form) = 1.974079999999796 " "
y[1] (numeric) = 1.9740800000002259 " "
absolute error = 4.2987835513486060000000000000E-13 " "
relative error = 2.17761364855986130000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.489999999999841 " "
y[1] (closed_form) = 1.9870199999997937 " "
y[1] (numeric) = 1.9870200000002256 " "
absolute error = 4.3187675657918590000000000000E-13 " "
relative error = 2.173489731251978800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999998397 " "
y[1] (closed_form) = 1.9999999999997917 " "
y[1] (numeric) = 2.0000000000002247 " "
absolute error = 4.32986979603811050000000000000E-13 " "
relative error = 2.164934898019281000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5099999999998386 " "
y[1] (closed_form) = 2.0130199999997895 " "
y[1] (numeric) = 2.013020000000224 " "
absolute error = 4.34319247233361240000000000000E-13 " "
relative error = 2.15755058187900100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5199999999998375 " "
y[1] (closed_form) = 2.0260799999997876 " "
y[1] (numeric) = 2.0260800000002233 " "
absolute error = 4.35651514862911400000000000000E-13 " "
relative error = 2.150218722177589800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5299999999998364 " "
y[1] (closed_form) = 2.0391799999997855 " "
y[1] (numeric) = 2.0391800000002225 " "
absolute error = 4.3698378249246160000000000000E-13 " "
relative error = 2.142938742497021400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5399999999998353 " "
y[1] (closed_form) = 2.052319999999783 " "
y[1] (numeric) = 2.052320000000222 " "
absolute error = 4.38760139331861860000000000000E-13 " "
relative error = 2.13787391504204120000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.549999999999834 " "
y[1] (closed_form) = 2.065499999999781 " "
y[1] (numeric) = 2.0655000000002213 " "
absolute error = 4.40092406961412050000000000000E-13 " "
relative error = 2.1306821929869701000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.559999999999833 " "
y[1] (closed_form) = 2.078719999999779 " "
y[1] (numeric) = 2.0787200000002204 " "
absolute error = 4.41424674590962240000000000000E-13 " "
relative error = 2.12354080679942080000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.569999999999832 " "
y[1] (closed_form) = 2.091979999999777 " "
y[1] (numeric) = 2.0919800000002198 " "
absolute error = 4.42756942220512430000000000000E-13 " "
relative error = 2.116449211849824600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.579999999999831 " "
y[1] (closed_form) = 2.105279999999775 " "
y[1] (numeric) = 2.105280000000219 " "
absolute error = 4.4408920985006260000000000000E-13 " "
relative error = 2.109406871533050800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999998298 " "
y[1] (closed_form) = 2.1186199999997726 " "
y[1] (numeric) = 2.1186200000002184 " "
absolute error = 4.45865566689462870000000000000E-13 " "
relative error = 2.1045093820010700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5999999999998287 " "
y[1] (closed_form) = 2.1319999999997705 " "
y[1] (numeric) = 2.1320000000002173 " "
absolute error = 4.467537451091630000000000000E-13 " "
relative error = 2.095467847604179400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6099999999998276 " "
y[1] (closed_form) = 2.1454199999997683 " "
y[1] (numeric) = 2.145420000000217 " "
absolute error = 4.48530101948563240000000000000E-13 " "
relative error = 2.090640070236185500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6199999999998265 " "
y[1] (closed_form) = 2.158879999999766 " "
y[1] (numeric) = 2.158880000000216 " "
absolute error = 4.5030645878796350000000000000E-13 " "
relative error = 2.085833667401672800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6299999999998254 " "
y[1] (closed_form) = 2.1723799999997637 " "
y[1] (numeric) = 2.172380000000216 " "
absolute error = 4.52082815627363740000000000000E-13 " "
relative error = 2.081048507293442600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999998243 " "
y[1] (closed_form) = 2.185919999999762 " "
y[1] (numeric) = 2.185920000000215 " "
absolute error = 4.52970994047063870000000000000E-13 " "
relative error = 2.072221280042788600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.649999999999823 " "
y[1] (closed_form) = 2.1994999999997593 " "
y[1] (numeric) = 2.1995000000002145 " "
absolute error = 4.5519144009631420000000000000E-13 " "
relative error = 2.069522346425842200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.659999999999822 " "
y[1] (closed_form) = 2.213119999999757 " "
y[1] (numeric) = 2.2131200000002136 " "
absolute error = 4.5652370772586437000000000000E-13 " "
relative error = 2.062805937888205500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.669999999999821 " "
y[1] (closed_form) = 2.226779999999755 " "
y[1] (numeric) = 2.2267800000002134 " "
absolute error = 4.5830006456526460000000000000E-13 " "
relative error = 2.058129067825806800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.67999999999982 " "
y[1] (closed_form) = 2.240479999999753 " "
y[1] (numeric) = 2.240480000000212 " "
absolute error = 4.5918824298496475000000000000E-13 " "
relative error = 2.04950833296889680000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6899999999998188 " "
y[1] (closed_form) = 2.2542199999997505 " "
y[1] (numeric) = 2.254220000000212 " "
absolute error = 4.6140868903421506000000000000E-13 " "
relative error = 2.04686627318658400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6999999999998177 " "
y[1] (closed_form) = 2.2679999999997484 " "
y[1] (numeric) = 2.2680000000002107 " "
absolute error = 4.6229686745391520000000000000E-13 " "
relative error = 2.038345976428423400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7099999999998166 " "
y[1] (closed_form) = 2.281819999999746 " "
y[1] (numeric) = 2.2818200000002102 " "
absolute error = 4.6407322429331543000000000000E-13 " "
relative error = 2.033785418189721600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7199999999998155 " "
y[1] (closed_form) = 2.2956799999997437 " "
y[1] (numeric) = 2.295680000000209 " "
absolute error = 4.6540549192286560000000000000E-13 " "
relative error = 2.027309955755669800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999998144 " "
y[1] (closed_form) = 2.3095799999997415 " "
y[1] (numeric) = 2.3095800000002087 " "
absolute error = 4.6718184876226587000000000000E-13 " "
relative error = 2.022800027547511600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7399999999998133 " "
y[1] (closed_form) = 2.323519999999739 " "
y[1] (numeric) = 2.3235200000002076 " "
absolute error = 4.6851411639181606000000000000E-13 " "
relative error = 2.016398035703883300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.749999999999812 " "
y[1] (closed_form) = 2.337499999999737 " "
y[1] (numeric) = 2.337500000000207 " "
absolute error = 4.6984638402136625000000000000E-13 " "
relative error = 2.010038006508744800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.759999999999811 " "
y[1] (closed_form) = 2.3515199999997347 " "
y[1] (numeric) = 2.351520000000206 " "
absolute error = 4.7117865165091644000000000000E-13 " "
relative error = 2.00371951610434780000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.76999999999981 " "
y[1] (closed_form) = 2.3655799999997322 " "
y[1] (numeric) = 2.365580000000205 " "
absolute error = 4.7295500849031670000000000000E-13 " "
relative error = 1.999319441702965800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.779999999999809 " "
y[1] (closed_form) = 2.37967999999973 " "
y[1] (numeric) = 2.3796800000002043 " "
absolute error = 4.7428727611986690000000000000E-13 " "
relative error = 1.993071657197273100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7899999999998077 " "
y[1] (closed_form) = 2.3938199999997276 " "
y[1] (numeric) = 2.3938200000002037 " "
absolute error = 4.7606363295926710000000000000E-13 " "
relative error = 1.988719423178523200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7999999999998066 " "
y[1] (closed_form) = 2.4079999999997255 " "
y[1] (numeric) = 2.408000000000203 " "
absolute error = 4.7739590058881730000000000000E-13 " "
relative error = 1.982541115402291200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8099999999998055 " "
y[1] (closed_form) = 2.422219999999723 " "
y[1] (numeric) = 2.4222200000002023 " "
absolute error = 4.7917225742821756000000000000E-13 " "
relative error = 1.978235905195532800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8199999999998044 " "
y[1] (closed_form) = 2.4364799999997206 " "
y[1] (numeric) = 2.4364800000002016 " "
absolute error = 4.8094861426761780000000000000E-13 " "
relative error = 1.973948541616073200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8299999999998033 " "
y[1] (closed_form) = 2.4507799999997184 " "
y[1] (numeric) = 2.4507800000002007 " "
absolute error = 4.822808818971680000000000000E-13 " "
relative error = 1.967866890937674500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8399999999998022 " "
y[1] (closed_form) = 2.465119999999716 " "
y[1] (numeric) = 2.4651200000002 " "
absolute error = 4.8405723873656825000000000000E-13 " "
relative error = 1.96362545732712420000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.849999999999801 " "
y[1] (closed_form) = 2.4794999999997134 " "
y[1] (numeric) = 2.479500000000199 " "
absolute error = 4.8583359557596850000000000000E-13 " "
relative error = 1.959401474394130400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8599999999998 " "
y[1] (closed_form) = 2.493919999999711 " "
y[1] (numeric) = 2.4939200000001986 " "
absolute error = 4.8760995241536875000000000000E-13 " "
relative error = 1.955194843521144400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.869999999999799 " "
y[1] (closed_form) = 2.508379999999709 " "
y[1] (numeric) = 2.5083800000001975 " "
absolute error = 4.8849813083506890000000000000E-13 " "
relative error = 1.947464621927800200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.879999999999798 " "
y[1] (closed_form) = 2.5228799999997062 " "
y[1] (numeric) = 2.522880000000197 " "
absolute error = 4.9071857688431920000000000000E-13 " "
relative error = 1.945072999446570100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8899999999997967 " "
y[1] (closed_form) = 2.537419999999704 " "
y[1] (numeric) = 2.537420000000196 " "
absolute error = 4.9205084451386940000000000000E-13 " "
relative error = 1.939177765265217600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8999999999997956 " "
y[1] (closed_form) = 2.5519999999997016 " "
y[1] (numeric) = 2.5520000000001954 " "
absolute error = 4.9382720135326963000000000000E-13 " "
relative error = 1.935059566431533700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9099999999997945 " "
y[1] (closed_form) = 2.5666199999996993 " "
y[1] (numeric) = 2.566620000000194 " "
absolute error = 4.9471537977296975000000000000E-13 " "
relative error = 1.927497564006466500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999997934 " "
y[1] (closed_form) = 2.5812799999996967 " "
y[1] (numeric) = 2.5812800000001936 " "
absolute error = 4.9693582582222007000000000000E-13 " "
relative error = 1.925152737487907000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9299999999997923 " "
y[1] (closed_form) = 2.5959799999996944 " "
y[1] (numeric) = 2.5959800000001922 " "
absolute error = 4.9782400424192020000000000000E-13 " "
relative error = 1.917672725683475200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9399999999997912 " "
y[1] (closed_form) = 2.610719999999692 " "
y[1] (numeric) = 2.610720000000192 " "
absolute error = 5.0004445029117050000000000000E-13 " "
relative error = 1.915350747269831700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.94999999999979 " "
y[1] (closed_form) = 2.6254999999996893 " "
y[1] (numeric) = 2.6255000000001907 " "
absolute error = 5.0137671792072070000000000000E-13 " "
relative error = 1.909642802973833500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.959999999999789 " "
y[1] (closed_form) = 2.640319999999687 " "
y[1] (numeric) = 2.6403200000001905 " "
absolute error = 5.035971639699710000000000000E-13 " "
relative error = 1.907333823059442500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.969999999999788 " "
y[1] (closed_form) = 2.6551799999996843 " "
y[1] (numeric) = 2.6551800000001893 " "
absolute error = 5.0492943159952120000000000000E-13 " "
relative error = 1.901676841493161200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.979999999999787 " "
y[1] (closed_form) = 2.670079999999682 " "
y[1] (numeric) = 2.6700800000001887 " "
absolute error = 5.0670578843892140000000000000E-13 " "
relative error = 1.897717628082236400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9899999999997857 " "
y[1] (closed_form) = 2.6850199999996796 " "
y[1] (numeric) = 2.6850200000001876 " "
absolute error = 5.0803805606847160000000000000E-13 " "
relative error = 1.892120193028477600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9999999999997846 " "
y[1] (closed_form) = 2.699999999999677 " "
y[1] (numeric) = 2.700000000000187 " "
absolute error = 5.1025850211772200000000000000E-13 " "
relative error = 1.88984630413993710000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0099999999997835 " "
y[1] (closed_form) = 2.715019999999675 " "
y[1] (numeric) = 2.715020000000186 " "
absolute error = 5.1114668053742210000000000000E-13 " "
relative error = 1.882662671131274400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0199999999997824 " "
y[1] (closed_form) = 2.7300799999996723 " "
y[1] (numeric) = 2.7300800000001852 " "
absolute error = 5.1292303737682230000000000000E-13 " "
relative error = 1.878783908811770500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0299999999997813 " "
y[1] (closed_form) = 2.7451799999996696 " "
y[1] (numeric) = 2.7451800000001843 " "
absolute error = 5.1469939421622260000000000000E-13 " "
relative error = 1.874920384879259500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.03999999999978 " "
y[1] (closed_form) = 2.760319999999667 " "
y[1] (numeric) = 2.7603200000001835 " "
absolute error = 5.1647575105562280000000000000E-13 " "
relative error = 1.871072017214254500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.049999999999779 " "
y[1] (closed_form) = 2.7754999999996643 " "
y[1] (numeric) = 2.7755000000001826 " "
absolute error = 5.1825210789502310000000000000E-13 " "
relative error = 1.86723872417613320000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.059999999999778 " "
y[1] (closed_form) = 2.790719999999662 " "
y[1] (numeric) = 2.7907200000001815 " "
absolute error = 5.1958437552457330000000000000E-13 " "
relative error = 1.861829117663671700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.069999999999777 " "
y[1] (closed_form) = 2.8059799999996593 " "
y[1] (numeric) = 2.8059800000001807 " "
absolute error = 5.2136073236397350000000000000E-13 " "
relative error = 1.858034385006439300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.079999999999776 " "
y[1] (closed_form) = 2.821279999999657 " "
y[1] (numeric) = 2.8212800000001796 " "
absolute error = 5.2269299999352370000000000000E-13 " "
relative error = 1.852680343651063300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0899999999997747 " "
y[1] (closed_form) = 2.8366199999996544 " "
y[1] (numeric) = 2.836620000000179 " "
absolute error = 5.244693568329240000000000000E-13 " "
relative error = 1.84892356689647490000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0999999999997736 " "
y[1] (closed_form) = 2.8519999999996513 " "
y[1] (numeric) = 2.8520000000001775 " "
absolute error = 5.2624571367232420000000000000E-13 " "
relative error = 1.845181324236986600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1099999999997725 " "
y[1] (closed_form) = 2.8674199999996492 " "
y[1] (numeric) = 2.867420000000177 " "
absolute error = 5.2757798130187440000000000000E-13 " "
relative error = 1.8399047970019700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1199999999997714 " "
y[1] (closed_form) = 2.8828799999996466 " "
y[1] (numeric) = 2.882880000000176 " "
absolute error = 5.2935433814127460000000000000E-13 " "
relative error = 1.83619969662746820000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1299999999997703 " "
y[1] (closed_form) = 2.898379999999644 " "
y[1] (numeric) = 2.8983800000001754 " "
absolute error = 5.315747841905250000000000000E-13 " "
relative error = 1.834041030474231600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.139999999999769 " "
y[1] (closed_form) = 2.9139199999996412 " "
y[1] (numeric) = 2.913920000000174 " "
absolute error = 5.3290705182007510000000000000E-13 " "
relative error = 1.828832129297100500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.149999999999768 " "
y[1] (closed_form) = 2.9294999999996385 " "
y[1] (numeric) = 2.9295000000001736 " "
absolute error = 5.3512749786932550000000000000E-13 " "
relative error = 1.826685433928627600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.159999999999767 " "
y[1] (closed_form) = 2.945119999999636 " "
y[1] (numeric) = 2.9451200000001725 " "
absolute error = 5.3645976549887560000000000000E-13 " "
relative error = 1.821520907463675400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.169999999999766 " "
y[1] (closed_form) = 2.960779999999633 " "
y[1] (numeric) = 2.960780000000172 " "
absolute error = 5.391243007579760000000000000E-13 " "
relative error = 1.82088605285783770000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.179999999999765 " "
y[1] (closed_form) = 2.97647999999963 " "
y[1] (numeric) = 2.9764800000001705 " "
absolute error = 5.4045656838752620000000000000E-13 " "
relative error = 1.815757432899241200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1899999999997637 " "
y[1] (closed_form) = 2.9922199999996275 " "
y[1] (numeric) = 2.99222000000017 " "
absolute error = 5.4267701443677650000000000000E-13 " "
relative error = 1.813626720083563500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1999999999997626 " "
y[1] (closed_form) = 3.007999999999625 " "
y[1] (numeric) = 3.0080000000001688 " "
absolute error = 5.4356519285647660000000000000E-13 " "
relative error = 1.807065135826277600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2099999999997615 " "
y[1] (closed_form) = 3.0238199999996223 " "
y[1] (numeric) = 3.023820000000168 " "
absolute error = 5.457856389057270000000000000E-13 " "
relative error = 1.804954127248960300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2199999999997604 " "
y[1] (closed_form) = 3.0396799999996196 " "
y[1] (numeric) = 3.0396800000001667 " "
absolute error = 5.4711790653527710000000000000E-13 " "
relative error = 1.79991942091057480000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2299999999997593 " "
y[1] (closed_form) = 3.055579999999617 " "
y[1] (numeric) = 3.055580000000166 " "
absolute error = 5.4889426337467740000000000000E-13 " "
relative error = 1.79636685465524100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.239999999999758 " "
y[1] (closed_form) = 3.071519999999614 " "
y[1] (numeric) = 3.071520000000165 " "
absolute error = 5.5067062021407760000000000000E-13 " "
relative error = 1.792827721174359300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.249999999999757 " "
y[1] (closed_form) = 3.0874999999996113 " "
y[1] (numeric) = 3.087500000000164 " "
absolute error = 5.5244697705347790000000000000E-13 " "
relative error = 1.789301949971004000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.259999999999756 " "
y[1] (closed_form) = 3.103519999999609 " "
y[1] (numeric) = 3.1035200000001626 " "
absolute error = 5.5377924468302810000000000000E-13 " "
relative error = 1.78435854991460600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.269999999999755 " "
y[1] (closed_form) = 3.1195799999996057 " "
y[1] (numeric) = 3.1195800000001617 " "
absolute error = 5.5599969073227840000000000000E-13 " "
relative error = 1.782290214491529800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.279999999999754 " "
y[1] (closed_form) = 3.1356799999996037 " "
y[1] (numeric) = 3.1356800000001606 " "
absolute error = 5.5688786915197850000000000000E-13 " "
relative error = 1.77597162067573500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2899999999997527 " "
y[1] (closed_form) = 3.1518199999996 " "
y[1] (numeric) = 3.1518200000001597 " "
absolute error = 5.5955240441107890000000000000E-13 " "
relative error = 1.775331092547004200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2999999999997516 " "
y[1] (closed_form) = 3.167999999999598 " "
y[1] (numeric) = 3.1680000000001587 " "
absolute error = 5.6088467204062910000000000000E-13 " "
relative error = 1.77046929305776620000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3099999999997505 " "
y[1] (closed_form) = 3.184219999999595 " "
y[1] (numeric) = 3.184220000000158 " "
absolute error = 5.6310511808987940000000000000E-13 " "
relative error = 1.768424035053956800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3199999999997494 " "
y[1] (closed_form) = 3.200479999999592 " "
y[1] (numeric) = 3.200480000000157 " "
absolute error = 5.6488147492927960000000000000E-13 " "
relative error = 1.764989860675122700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3299999999997483 " "
y[1] (closed_form) = 3.2167799999995896 " "
y[1] (numeric) = 3.216780000000156 " "
absolute error = 5.6621374255882980000000000000E-13 " "
relative error = 1.76018795988193780000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.339999999999747 " "
y[1] (closed_form) = 3.2331199999995865 " "
y[1] (numeric) = 3.233120000000155 " "
absolute error = 5.6843418860808010000000000000E-13 " "
relative error = 1.758159884594920300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.349999999999746 " "
y[1] (closed_form) = 3.2494999999995837 " "
y[1] (numeric) = 3.249500000000154 " "
absolute error = 5.7021054544748040000000000000E-13 " "
relative error = 1.754763949677037900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.359999999999745 " "
y[1] (closed_form) = 3.265919999999581 " "
y[1] (numeric) = 3.265920000000153 " "
absolute error = 5.7198690228688060000000000000E-13 " "
relative error = 1.751380628695601800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.369999999999744 " "
y[1] (closed_form) = 3.282379999999578 " "
y[1] (numeric) = 3.2823800000001517 " "
absolute error = 5.7376325912628090000000000000E-13 " "
relative error = 1.74800985603846800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3799999999997428 " "
y[1] (closed_form) = 3.298879999999575 " "
y[1] (numeric) = 3.298880000000151 " "
absolute error = 5.7598370517553120000000000000E-13 " "
relative error = 1.745997748252756700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3899999999997417 " "
y[1] (closed_form) = 3.3154199999995724 " "
y[1] (numeric) = 3.3154200000001497 " "
absolute error = 5.7731597280508140000000000000E-13 " "
relative error = 1.741305695221588600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3999999999997406 " "
y[1] (closed_form) = 3.33199999999957 " "
y[1] (numeric) = 3.332000000000149 " "
absolute error = 5.7909232964448170000000000000E-13 " "
relative error = 1.73797217780479100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4099999999997395 " "
y[1] (closed_form) = 3.348619999999567 " "
y[1] (numeric) = 3.3486200000001474 " "
absolute error = 5.8042459727403180000000000000E-13 " "
relative error = 1.733324764452541500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4199999999997384 " "
y[1] (closed_form) = 3.365279999999564 " "
y[1] (numeric) = 3.365280000000147 " "
absolute error = 5.8264504332328220000000000000E-13 " "
relative error = 1.73134194873341200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4299999999997373 " "
y[1] (closed_form) = 3.381979999999561 " "
y[1] (numeric) = 3.381980000000145 " "
absolute error = 5.8442140016268240000000000000E-13 " "
relative error = 1.728045110150735200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.439999999999736 " "
y[1] (closed_form) = 3.3987199999995577 " "
y[1] (numeric) = 3.3987200000001447 " "
absolute error = 5.8708593542178280000000000000E-13 " "
relative error = 1.72737364484823500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.449999999999735 " "
y[1] (closed_form) = 3.415499999999555 " "
y[1] (numeric) = 3.415500000000143 " "
absolute error = 5.884182030513330000000000000E-13 " "
relative error = 1.722787887721884700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.459999999999734 " "
y[1] (closed_form) = 3.432319999999552 " "
y[1] (numeric) = 3.432320000000143 " "
absolute error = 5.9063864910058330000000000000E-13 " "
relative error = 1.720814635875036000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.469999999999733 " "
y[1] (closed_form) = 3.449179999999549 " "
y[1] (numeric) = 3.4491800000001414 " "
absolute error = 5.9241500593998350000000000000E-13 " "
relative error = 1.717553174783748900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4799999999997318 " "
y[1] (closed_form) = 3.466079999999546 " "
y[1] (numeric) = 3.4660800000001406 " "
absolute error = 5.9463545198923380000000000000E-13 " "
relative error = 1.71558490279887300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4899999999997307 " "
y[1] (closed_form) = 3.4830199999995433 " "
y[1] (numeric) = 3.4830200000001392 " "
absolute error = 5.959677196187840000000000000E-13 " "
relative error = 1.711066027811675400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4999999999997295 " "
y[1] (closed_form) = 3.499999999999541 " "
y[1] (numeric) = 3.5000000000001386 " "
absolute error = 5.9774407645818430000000000000E-13 " "
relative error = 1.707840218452179300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5099999999997284 " "
y[1] (closed_form) = 3.5170199999995377 " "
y[1] (numeric) = 3.5170200000001373 " "
absolute error = 5.9952043329758450000000000000E-13 " "
relative error = 1.70462617016014500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5199999999997273 " "
y[1] (closed_form) = 3.534079999999535 " "
y[1] (numeric) = 3.5340800000001362 " "
absolute error = 6.0129679013698480000000000000E-13 " "
relative error = 1.701423822146255800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5299999999997262 " "
y[1] (closed_form) = 3.5511799999995315 " "
y[1] (numeric) = 3.551180000000135 " "
absolute error = 6.0351723618623510000000000000E-13 " "
relative error = 1.699483653845523800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.539999999999725 " "
y[1] (closed_form) = 3.5683199999995283 " "
y[1] (numeric) = 3.568320000000134 " "
absolute error = 6.0573768223548540000000000000E-13 " "
relative error = 1.69754305173181100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.549999999999724 " "
y[1] (closed_form) = 3.5854999999995254 " "
y[1] (numeric) = 3.585500000000133 " "
absolute error = 6.0751403907488570000000000000E-13 " "
relative error = 1.694363517152324700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.559999999999723 " "
y[1] (closed_form) = 3.6027199999995227 " "
y[1] (numeric) = 3.6027200000001316 " "
absolute error = 6.0884630670443580000000000000E-13 " "
relative error = 1.6899628800032100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.569999999999722 " "
y[1] (closed_form) = 3.6199799999995195 " "
y[1] (numeric) = 3.6199800000001305 " "
absolute error = 6.1106675275368620000000000000E-13 " "
relative error = 1.688039029922174300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5799999999997207 " "
y[1] (closed_form) = 3.6372799999995165 " "
y[1] (numeric) = 3.6372800000001293 " "
absolute error = 6.1284310959308640000000000000E-13 " "
relative error = 1.684893958103769200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5899999999997196 " "
y[1] (closed_form) = 3.6546199999995137 " "
y[1] (numeric) = 3.6546200000001283 " "
absolute error = 6.1461946643248670000000000000E-13 " "
relative error = 1.681760255327690600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5999999999997185 " "
y[1] (closed_form) = 3.6719999999995103 " "
y[1] (numeric) = 3.6720000000001267 " "
absolute error = 6.1639582327188690000000000000E-13 " "
relative error = 1.67863786294109220000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6099999999997174 " "
y[1] (closed_form) = 3.689419999999507 " "
y[1] (numeric) = 3.689420000000126 " "
absolute error = 6.1861626932113720000000000000E-13 " "
relative error = 1.676730405649722300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6199999999997163 " "
y[1] (closed_form) = 3.7068799999995043 " "
y[1] (numeric) = 3.7068800000001247 " "
absolute error = 6.2039262616053750000000000000E-13 " "
relative error = 1.67362479001375900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6299999999997152 " "
y[1] (closed_form) = 3.7243799999995018 " "
y[1] (numeric) = 3.724380000000124 " "
absolute error = 6.2216898299993770000000000000E-13 " "
relative error = 1.67053035136055130000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.639999999999714 " "
y[1] (closed_form) = 3.7419199999994985 " "
y[1] (numeric) = 3.7419200000001225 " "
absolute error = 6.239453398393380000000000000E-13 " "
relative error = 1.66744703211031100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.649999999999713 " "
y[1] (closed_form) = 3.7594999999994956 " "
y[1] (numeric) = 3.7595000000001217 " "
absolute error = 6.2616578588858830000000000000E-13 " "
relative error = 1.66555602045131600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.659999999999712 " "
y[1] (closed_form) = 3.777119999999492 " "
y[1] (numeric) = 3.7771200000001204 " "
absolute error = 6.2838623193783860000000000000E-13 " "
relative error = 1.663664993269801000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.669999999999711 " "
y[1] (closed_form) = 3.7947799999994887 " "
y[1] (numeric) = 3.7947800000001197 " "
absolute error = 6.310507671969390000000000000E-13 " "
relative error = 1.662944273968514600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6799999999997097 " "
y[1] (closed_form) = 3.8124799999994856 " "
y[1] (numeric) = 3.812480000000118 " "
absolute error = 6.3238303482648920000000000000E-13 " "
relative error = 1.65871830101816800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6899999999997086 " "
y[1] (closed_form) = 3.830219999999483 " "
y[1] (numeric) = 3.8302200000001174 " "
absolute error = 6.3460348087573950000000000000E-13 " "
relative error = 1.65683297793814800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6999999999997075 " "
y[1] (closed_form) = 3.8479999999994794 " "
y[1] (numeric) = 3.8480000000001158 " "
absolute error = 6.3637983771513970000000000000E-13 " "
relative error = 1.653793757056200300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7099999999997064 " "
y[1] (closed_form) = 3.8658199999994762 " "
y[1] (numeric) = 3.865820000000115 " "
absolute error = 6.38600283764390000000000000E-13 " "
relative error = 1.65191417025230500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7199999999997053 " "
y[1] (closed_form) = 3.8836799999994733 " "
y[1] (numeric) = 3.8836800000001133 " "
absolute error = 6.3993255139394020000000000000E-13 " "
relative error = 1.647747887040196500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.729999999999704 " "
y[1] (closed_form) = 3.90157999999947 " "
y[1] (numeric) = 3.9015800000001124 " "
absolute error = 6.4259708665304060000000000000E-13 " "
relative error = 1.64701758429438320000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.739999999999703 " "
y[1] (closed_form) = 3.9195199999994674 " "
y[1] (numeric) = 3.919520000000111 " "
absolute error = 6.4348526507274070000000000000E-13 " "
relative error = 1.641745073562140300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.749999999999702 " "
y[1] (closed_form) = 3.9374999999994635 " "
y[1] (numeric) = 3.9375000000001097 " "
absolute error = 6.4614980033184110000000000000E-13 " "
relative error = 1.641015365922359700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.759999999999701 " "
y[1] (closed_form) = 3.955519999999461 " "
y[1] (numeric) = 3.9555200000001083 " "
absolute error = 6.4748206796139130000000000000E-13 " "
relative error = 1.636907582217962700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7699999999997 " "
y[1] (closed_form) = 3.9735799999994574 " "
y[1] (numeric) = 3.973580000000107 " "
absolute error = 6.4970251401064160000000000000E-13 " "
relative error = 1.635055828775890700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7799999999996987 " "
y[1] (closed_form) = 3.9916799999994543 " "
y[1] (numeric) = 3.991680000000106 " "
absolute error = 6.5147887085004190000000000000E-13 " "
relative error = 1.632091928336266700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7899999999996976 " "
y[1] (closed_form) = 4.0098199999994515 " "
y[1] (numeric) = 4.009820000000105 " "
absolute error = 6.5369931689929220000000000000E-13 " "
relative error = 1.630246038224612600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7999999999996965 " "
y[1] (closed_form) = 4.027999999999448 " "
y[1] (numeric) = 4.0280000000001035 " "
absolute error = 6.5547567373869240000000000000E-13 " "
relative error = 1.627298097663312500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8099999999996954 " "
y[1] (closed_form) = 4.046219999999445 " "
y[1] (numeric) = 4.046220000000102 " "
absolute error = 6.5725203057809270000000000000E-13 " "
relative error = 1.624360589829971800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8199999999996943 " "
y[1] (closed_form) = 4.064479999999442 " "
y[1] (numeric) = 4.064480000000101 " "
absolute error = 6.5902838741749290000000000000E-13 " "
relative error = 1.62143346115021680000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.829999999999693 " "
y[1] (closed_form) = 4.082779999999438 " "
y[1] (numeric) = 4.082780000000099 " "
absolute error = 6.6080474425689320000000000000E-13 " "
relative error = 1.618516658396935400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.839999999999692 " "
y[1] (closed_form) = 4.101119999999435 " "
y[1] (numeric) = 4.1011200000000985 " "
absolute error = 6.6346927951599350000000000000E-13 " "
relative error = 1.617775825911177700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.849999999999691 " "
y[1] (closed_form) = 4.119499999999432 " "
y[1] (numeric) = 4.119500000000096 " "
absolute error = 6.6435745793569370000000000000E-13 " "
relative error = 1.61271381948242600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.85999999999969 " "
y[1] (closed_form) = 4.137919999999428 " "
y[1] (numeric) = 4.137920000000095 " "
absolute error = 6.670219931947940000000000000E-13 " "
relative error = 1.61197411548528300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.869999999999689 " "
y[1] (closed_form) = 4.156379999999425 " "
y[1] (numeric) = 4.1563800000000946 " "
absolute error = 6.6968652845389440000000000000E-13 " "
relative error = 1.611225461709437400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8799999999996877 " "
y[1] (closed_form) = 4.174879999999422 " "
y[1] (numeric) = 4.174880000000093 " "
absolute error = 6.7146288529329470000000000000E-13 " "
relative error = 1.608340563784797800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8899999999996866 " "
y[1] (closed_form) = 4.193419999999419 " "
y[1] (numeric) = 4.193420000000092 " "
absolute error = 6.7323924213269490000000000000E-13 " "
relative error = 1.605465806269794600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8999999999996855 " "
y[1] (closed_form) = 4.211999999999415 " "
y[1] (numeric) = 4.212000000000091 " "
absolute error = 6.7590377739179530000000000000E-13 " "
relative error = 1.60470982286773300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9099999999996844 " "
y[1] (closed_form) = 4.230619999999412 " "
y[1] (numeric) = 4.23062000000009 " "
absolute error = 6.7768013423119560000000000000E-13 " "
relative error = 1.60184590965695300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9199999999996833 " "
y[1] (closed_form) = 4.249279999999409 " "
y[1] (numeric) = 4.249280000000090 " "
absolute error = 6.8034466949029590000000000000E-13 " "
relative error = 1.601082229202101200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.929999999999682 " "
y[1] (closed_form) = 4.2679799999994055 " "
y[1] (numeric) = 4.267980000000088 " "
absolute error = 6.8212102632969620000000000000E-13 " "
relative error = 1.598229200534658500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.939999999999681 " "
y[1] (closed_form) = 4.286719999999402 " "
y[1] (numeric) = 4.286720000000087 " "
absolute error = 6.8478556158879660000000000000E-13 " "
relative error = 1.59745810687166900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.94999999999968 " "
y[1] (closed_form) = 4.305499999999399 " "
y[1] (numeric) = 4.305500000000086 " "
absolute error = 6.8656191842819680000000000000E-13 " "
relative error = 1.594615999136668500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.959999999999679 " "
y[1] (closed_form) = 4.324319999999395 " "
y[1] (numeric) = 4.3243200000000845 " "
absolute error = 6.8922645368729720000000000000E-13 " "
relative error = 1.593837767989865800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.969999999999678 " "
y[1] (closed_form) = 4.343179999999392 " "
y[1] (numeric) = 4.343180000000083 " "
absolute error = 6.9100281052669740000000000000E-13 " "
relative error = 1.59100661387921780000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9799999999996767 " "
y[1] (closed_form) = 4.362079999999389 " "
y[1] (numeric) = 4.362080000000082 " "
absolute error = 6.9366734578579780000000000000E-13 " "
relative error = 1.590221513099014700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9899999999996756 " "
y[1] (closed_form) = 4.381019999999385 " "
y[1] (numeric) = 4.38102000000008 " "
absolute error = 6.9544370262519810000000000000E-13 " "
relative error = 1.587401341754421700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9999999999996745 " "
y[1] (closed_form) = 4.399999999999382 " "
y[1] (numeric) = 4.400000000000080 " "
absolute error = 6.9722005946459830000000000000E-13 " "
relative error = 1.584591044237945700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.009999999999677 " "
y[1] (closed_form) = 4.419019999999386 " "
y[1] (numeric) = 4.419020000000078 " "
absolute error = 6.9189098894639760000000000000E-13 " "
relative error = 1.565711377062094800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.019999999999680 " "
y[1] (closed_form) = 4.438079999999391 " "
y[1] (numeric) = 4.438080000000077 " "
absolute error = 6.8567374000849670000000000000E-13 " "
relative error = 1.544978323979267800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.029999999999684 " "
y[1] (closed_form) = 4.457179999999396 " "
y[1] (numeric) = 4.457180000000076 " "
absolute error = 6.7945649107059580000000000000E-13 " "
relative error = 1.524408911174078300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.039999999999687 " "
y[1] (closed_form) = 4.476319999999402 " "
y[1] (numeric) = 4.476320000000074 " "
absolute error = 6.7235106371299480000000000000E-13 " "
relative error = 1.50201742438673870000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.049999999999690 " "
y[1] (closed_form) = 4.4954999999994065 " "
y[1] (numeric) = 4.495500000000073 " "
absolute error = 6.6613381477509390000000000000E-13 " "
relative error = 1.48177914531238330000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.059999999999694 " "
y[1] (closed_form) = 4.514719999999412 " "
y[1] (numeric) = 4.514720000000072 " "
absolute error = 6.599165658371930000000000000E-13 " "
relative error = 1.46169987471488630000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.069999999999697 " "
y[1] (closed_form) = 4.533979999999417 " "
y[1] (numeric) = 4.53398000000007 " "
absolute error = 6.528111384795920000000000000E-13 " "
relative error = 1.439819184203891500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.079999999999700 " "
y[1] (closed_form) = 4.553279999999422 " "
y[1] (numeric) = 4.553280000000068 " "
absolute error = 6.4659388954169120000000000000E-13 " "
relative error = 1.420061778633805200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.089999999999704 " "
y[1] (closed_form) = 4.572619999999428 " "
y[1] (numeric) = 4.572620000000067 " "
absolute error = 6.3948846218409020000000000000E-13 " "
relative error = 1.398516522659154200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999707 " "
y[1] (closed_form) = 4.591999999999433 " "
y[1] (numeric) = 4.592000000000066 " "
absolute error = 6.3327121324618930000000000000E-13 " "
relative error = 1.379074941738387400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999710 " "
y[1] (closed_form) = 4.611419999999438 " "
y[1] (numeric) = 4.611420000000066 " "
absolute error = 6.2794214272798850000000000000E-13 " "
relative error = 1.361711019009470300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999714 " "
y[1] (closed_form) = 4.630879999999443 " "
y[1] (numeric) = 4.630880000000064 " "
absolute error = 6.2083671537038750000000000000E-13 " "
relative error = 1.340645223738171000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1299999999997175 " "
y[1] (closed_form) = 4.650379999999449 " "
y[1] (numeric) = 4.650380000000063 " "
absolute error = 6.1461946643248670000000000000E-13 " "
relative error = 1.321654287246546700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999720 " "
y[1] (closed_form) = 4.669919999999454 " "
y[1] (numeric) = 4.6699200000000625 " "
absolute error = 6.0840221749458580000000000000E-13 " "
relative error = 1.302810792250524400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999724 " "
y[1] (closed_form) = 4.68949999999946 " "
y[1] (numeric) = 4.689500000000061 " "
absolute error = 6.0129679013698480000000000000E-13 " "
relative error = 1.28221940534610100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1599999999997275 " "
y[1] (closed_form) = 4.709119999999465 " "
y[1] (numeric) = 4.70912000000006 " "
absolute error = 5.9507954119908390000000000000E-13 " "
relative error = 1.263674616911761900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.169999999999730 " "
y[1] (closed_form) = 4.72877999999947 " "
y[1] (numeric) = 4.728780000000059 " "
absolute error = 5.888622922611830000000000000E-13 " "
relative error = 1.245273183064657300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999734 " "
y[1] (closed_form) = 4.748479999999476 " "
y[1] (numeric) = 4.7484800000000575 " "
absolute error = 5.817568649035820000000000000E-13 " "
relative error = 1.22514334040292090000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1899999999997375 " "
y[1] (closed_form) = 4.768219999999482 " "
y[1] (numeric) = 4.768220000000057 " "
absolute error = 5.7553961596568120000000000000E-13 " "
relative error = 1.20703242712321110000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999740 " "
y[1] (closed_form) = 4.787999999999487 " "
y[1] (numeric) = 4.788000000000055 " "
absolute error = 5.6843418860808010000000000000E-13 " "
relative error = 1.187205907702884400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.209999999999744 " "
y[1] (closed_form) = 4.807819999999492 " "
y[1] (numeric) = 4.807820000000055 " "
absolute error = 5.6221693967017930000000000000E-13 " "
relative error = 1.169380175776627700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2199999999997475 " "
y[1] (closed_form) = 4.827679999999498 " "
y[1] (numeric) = 4.827680000000053 " "
absolute error = 5.5511151231257830000000000000E-13 " "
relative error = 1.14985150696118200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999750 " "
y[1] (closed_form) = 4.847579999999504 " "
y[1] (numeric) = 4.847580000000052 " "
absolute error = 5.4800608495497730000000000000E-13 " "
relative error = 1.130473524841329700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999754 " "
y[1] (closed_form) = 4.86751999999951 " "
y[1] (numeric) = 4.867520000000051 " "
absolute error = 5.4178883601707640000000000000E-13 " "
relative error = 1.113069563180286900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2499999999997575 " "
y[1] (closed_form) = 4.887499999999515 " "
y[1] (numeric) = 4.887500000000050 " "
absolute error = 5.3557158707917550000000000000E-13 " "
relative error = 1.095798643640365400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999760 " "
y[1] (closed_form) = 4.907519999999521 " "
y[1] (numeric) = 4.90752000000005 " "
absolute error = 5.2846615972157450000000000000E-13 " "
relative error = 1.07684973208795100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.269999999999764 " "
y[1] (closed_form) = 4.9275799999995264 " "
y[1] (numeric) = 4.92758000000005 " "
absolute error = 5.2313708920337380000000000000E-13 " "
relative error = 1.061651133423351800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2799999999997675 " "
y[1] (closed_form) = 4.947679999999533 " "
y[1] (numeric) = 4.947680000000048 " "
absolute error = 5.1514348342607260000000000000E-13 " "
relative error = 1.041181894193078800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999770 " "
y[1] (closed_form) = 4.967819999999539 " "
y[1] (numeric) = 4.967820000000048 " "
absolute error = 5.0892623448817180000000000000E-13 " "
relative error = 1.024445802159134000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999774 " "
y[1] (closed_form) = 4.987999999999544 " "
y[1] (numeric) = 4.988000000000047 " "
absolute error = 5.0270898555027090000000000000E-13 " "
relative error = 1.007836779371124500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.309999999999778 " "
y[1] (closed_form) = 5.00821999999955 " "
y[1] (numeric) = 5.008220000000046 " "
absolute error = 4.9560355819266990000000000000E-13 " "
relative error = 9.89580246460248100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.319999999999781 " "
y[1] (closed_form) = 5.028479999999556 " "
y[1] (numeric) = 5.0284800000000445 " "
absolute error = 4.8849813083506890000000000000E-13 " "
relative error = 9.714628095072706000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.329999999999784 " "
y[1] (closed_form) = 5.048779999999562 " "
y[1] (numeric) = 5.048780000000044 " "
absolute error = 4.822808818971680000000000000E-13 " "
relative error = 9.552424187570261000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.339999999999788 " "
y[1] (closed_form) = 5.069119999999568 " "
y[1] (numeric) = 5.0691200000000425 " "
absolute error = 4.7428727611986690000000000000E-13 " "
relative error = 9.356402612680451000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.349999999999791 " "
y[1] (closed_form) = 5.089499999999574 " "
y[1] (numeric) = 5.089500000000042 " "
absolute error = 4.680700271819660000000000000E-13 " "
relative error = 9.196778213616371000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.359999999999794 " "
y[1] (closed_form) = 5.10991999999958 " "
y[1] (numeric) = 5.109920000000040 " "
absolute error = 4.609645998243650000000000000E-13 " "
relative error = 9.020974884624474000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.369999999999798 " "
y[1] (closed_form) = 5.130379999999586 " "
y[1] (numeric) = 5.13038000000004 " "
absolute error = 4.538591724667640000000000000E-13 " "
relative error = 8.846502061578296000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.379999999999801 " "
y[1] (closed_form) = 5.150879999999592 " "
y[1] (numeric) = 5.150880000000039 " "
absolute error = 4.467537451091630000000000000E-13 " "
relative error = 8.67334795431457100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.389999999999804 " "
y[1] (closed_form) = 5.171419999999598 " "
y[1] (numeric) = 5.1714200000000385 " "
absolute error = 4.4053649617126210000000000000E-13 " "
relative error = 8.518675647526142000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.399999999999808 " "
y[1] (closed_form) = 5.191999999999604 " "
y[1] (numeric) = 5.1920000000000375 " "
absolute error = 4.3343106881366110000000000000E-13 " "
relative error = 8.348056024917068000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.409999999999811 " "
y[1] (closed_form) = 5.21261999999961 " "
y[1] (numeric) = 5.212620000000038 " "
absolute error = 4.27213819875760240000000000000E-13 " "
relative error = 8.195759903384329000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.419999999999814 " "
y[1] (closed_form) = 5.233279999999616 " "
y[1] (numeric) = 5.233280000000036 " "
absolute error = 4.20108392518159230000000000000E-13 " "
relative error = 8.027630711870759000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.429999999999818 " "
y[1] (closed_form) = 5.253979999999623 " "
y[1] (numeric) = 5.253980000000036 " "
absolute error = 4.13002965160558230000000000000E-13 " "
relative error = 7.860763938206614000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.439999999999821 " "
y[1] (closed_form) = 5.274719999999629 " "
y[1] (numeric) = 5.274720000000035 " "
absolute error = 4.05897537802957230000000000000E-13 " "
relative error = 7.695148515996788000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.449999999999824 " "
y[1] (closed_form) = 5.295499999999635 " "
y[1] (numeric) = 5.295500000000034 " "
absolute error = 3.99680288865056350000000000000E-13 " "
relative error = 7.547545819376525000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.459999999999828 " "
y[1] (closed_form) = 5.316319999999641 " "
y[1] (numeric) = 5.316320000000034 " "
absolute error = 3.92574861507455350000000000000E-13 " "
relative error = 7.384334680897348000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.469999999999831 " "
y[1] (closed_form) = 5.337179999999647 " "
y[1] (numeric) = 5.337180000000033 " "
absolute error = 3.85469434149854350000000000000E-13 " "
relative error = 7.222342775583357000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.479999999999834 " "
y[1] (closed_form) = 5.358079999999654 " "
y[1] (numeric) = 5.358080000000032 " "
absolute error = 3.78364006792253350000000000000E-13 " "
relative error = 7.061559491315504000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.489999999999838 " "
y[1] (closed_form) = 5.37901999999966 " "
y[1] (numeric) = 5.379020000000032 " "
absolute error = 3.71258579434652350000000000000E-13 " "
relative error = 6.901974326823023000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.499999999999841 " "
y[1] (closed_form) = 5.399999999999666 " "
y[1] (numeric) = 5.4000000000000306 " "
absolute error = 3.64153152077051350000000000000E-13 " "
relative error = 6.743576890316183000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.509999999999844 " "
y[1] (closed_form) = 5.421019999999673 " "
y[1] (numeric) = 5.42102000000003 " "
absolute error = 3.57047724719450340000000000000E-13 " "
relative error = 6.586356898138577000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.519999999999848 " "
y[1] (closed_form) = 5.442079999999680 " "
y[1] (numeric) = 5.442080000000030 " "
absolute error = 3.49942297361849340000000000000E-13 " "
relative error = 6.430304173438648000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.529999999999851 " "
y[1] (closed_form) = 5.463179999999686 " "
y[1] (numeric) = 5.463180000000029 " "
absolute error = 3.42836870004248340000000000000E-13 " "
relative error = 6.275408644860101000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.539999999999854 " "
y[1] (closed_form) = 5.484319999999692 " "
y[1] (numeric) = 5.484320000000029 " "
absolute error = 3.36619621066347460000000000000E-13 " "
relative error = 6.137855213889167000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.549999999999858 " "
y[1] (closed_form) = 5.5054999999996985 " "
y[1] (numeric) = 5.505500000000028 " "
absolute error = 3.29514193708746460000000000000E-13 " "
relative error = 5.9851819763648080000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.559999999999861 " "
y[1] (closed_form) = 5.526719999999705 " "
y[1] (numeric) = 5.526720000000028 " "
absolute error = 3.22408766351145460000000000000E-13 " "
relative error = 5.8336367022603400000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.569999999999864 " "
y[1] (closed_form) = 5.547979999999712 " "
y[1] (numeric) = 5.5479800000000274 " "
absolute error = 3.15303338993544460000000000000E-13 " "
relative error = 5.683209726667378000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.579999999999868 " "
y[1] (closed_form) = 5.5692799999997185 " "
y[1] (numeric) = 5.569280000000027 " "
absolute error = 3.08197911635943460000000000000E-13 " "
relative error = 5.533891483925373000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.589999999999871 " "
y[1] (closed_form) = 5.590619999999725 " "
y[1] (numeric) = 5.590620000000026 " "
absolute error = 3.01092484278342450000000000000E-13 " "
relative error = 5.385672506418917000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.599999999999874 " "
y[1] (closed_form) = 5.611999999999732 " "
y[1] (numeric) = 5.612000000000026 " "
absolute error = 2.93987056920741450000000000000E-13 " "
relative error = 5.238543423391937000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.609999999999878 " "
y[1] (closed_form) = 5.633419999999738 " "
y[1] (numeric) = 5.633420000000025 " "
absolute error = 2.86881629563140450000000000000E-13 " "
relative error = 5.0924949597784960000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.619999999999881 " "
y[1] (closed_form) = 5.654879999999745 " "
y[1] (numeric) = 5.654880000000025 " "
absolute error = 2.79776202205539450000000000000E-13 " "
relative error = 4.94751793504994000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.629999999999884 " "
y[1] (closed_form) = 5.676379999999752 " "
y[1] (numeric) = 5.676380000000024 " "
absolute error = 2.7178259642823830000000000000E-13 " "
relative error = 4.787956345915006000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.639999999999888 " "
y[1] (closed_form) = 5.697919999999758 " "
y[1] (numeric) = 5.697920000000024 " "
absolute error = 2.65565347490337440000000000000E-13 " "
relative error = 4.660741946014488000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.649999999999891 " "
y[1] (closed_form) = 5.7194999999997655 " "
y[1] (numeric) = 5.719500000000023 " "
absolute error = 2.5757174171303630000000000000E-13 " "
relative error = 4.503396131008774500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6599999999998944 " "
y[1] (closed_form) = 5.741119999999772 " "
y[1] (numeric) = 5.741120000000023 " "
absolute error = 2.5046631435543530000000000000E-13 " "
relative error = 4.362673386994963500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.669999999999898 " "
y[1] (closed_form) = 5.762779999999779 " "
y[1] (numeric) = 5.7627800000000216 " "
absolute error = 2.4247270857813420000000000000E-13 " "
relative error = 4.207564900588665000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.679999999999901 " "
y[1] (closed_form) = 5.784479999999786 " "
y[1] (numeric) = 5.784480000000022 " "
absolute error = 2.3536728122053320000000000000E-13 " "
relative error = 4.068944507035064000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6899999999999045 " "
y[1] (closed_form) = 5.806219999999793 " "
y[1] (numeric) = 5.806220000000021 " "
absolute error = 2.2826185386293218000000000000E-13 " "
relative error = 3.931333188596718000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.699999999999908 " "
y[1] (closed_form) = 5.8279999999998 " "
y[1] (numeric) = 5.828000000000022 " "
absolute error = 2.2204460492503130000000000000E-13 " "
relative error = 3.8099623357076000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.709999999999911 " "
y[1] (closed_form) = 5.849819999999807 " "
y[1] (numeric) = 5.849820000000020 " "
absolute error = 2.14050999147730180000000000000E-13 " "
relative error = 3.659104026239051000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.7199999999999145 " "
y[1] (closed_form) = 5.871679999999813 " "
y[1] (numeric) = 5.871680000000020 " "
absolute error = 2.0783375020982930000000000000E-13 " "
relative error = 3.5395959965433390000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.729999999999918 " "
y[1] (closed_form) = 5.893579999999820 " "
y[1] (numeric) = 5.8935800000000205 " "
absolute error = 1.99840144432528180000000000000E-13 " "
relative error = 3.3908107539480975000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.739999999999921 " "
y[1] (closed_form) = 5.915519999999828 " "
y[1] (numeric) = 5.91552000000002 " "
absolute error = 1.92734717074927180000000000000E-13 " "
relative error = 3.2581196086723196000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.7499999999999245 " "
y[1] (closed_form) = 5.937499999999835 " "
y[1] (numeric) = 5.9375000000000195 " "
absolute error = 1.84741111297626050000000000000E-13 " "
relative error = 3.1114292429074725000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.759999999999928 " "
y[1] (closed_form) = 5.959519999999841 " "
y[1] (numeric) = 5.95952000000002 " "
absolute error = 1.78523862359725170000000000000E-13 " "
relative error = 2.9956080751424596000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.769999999999931 " "
y[1] (closed_form) = 5.981579999999848 " "
y[1] (numeric) = 5.981580000000019 " "
absolute error = 1.70530256582424040000000000000E-13 " "
relative error = 2.850923277502405000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.7799999999999345 " "
y[1] (closed_form) = 6.003679999999855 " "
y[1] (numeric) = 6.003680000000019 " "
absolute error = 1.63424829224823040000000000000E-13 " "
relative error = 2.722077612811259000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.789999999999938 " "
y[1] (closed_form) = 6.025819999999863 " "
y[1] (numeric) = 6.025820000000018 " "
absolute error = 1.55431223447521920000000000000E-13 " "
relative error = 2.579420285496836000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.799999999999941 " "
y[1] (closed_form) = 6.04799999999987 " "
y[1] (numeric) = 6.048000000000018 " "
absolute error = 1.4743761767022080000000000000E-13 " "
relative error = 2.437791297457407000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.8099999999999445 " "
y[1] (closed_form) = 6.070219999999877 " "
y[1] (numeric) = 6.070220000000018 " "
absolute error = 1.40332190312619800000000000000E-13 " "
relative error = 2.311813909753232000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.819999999999948 " "
y[1] (closed_form) = 6.092479999999885 " "
y[1] (numeric) = 6.092480000000017 " "
absolute error = 1.32338584535318660000000000000E-13 " "
relative error = 2.1721628062024195000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.829999999999951 " "
y[1] (closed_form) = 6.114779999999891 " "
y[1] (numeric) = 6.1147800000000165 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 2.0480402758189156000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.839999999999955 " "
y[1] (closed_form) = 6.137119999999899 " "
y[1] (numeric) = 6.137120000000017 " "
absolute error = 1.18127729820116660000000000000E-13 " "
relative error = 1.924807235643406000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.849999999999958 " "
y[1] (closed_form) = 6.159499999999906 " "
y[1] (numeric) = 6.159500000000016 " "
absolute error = 1.10134124042815530000000000000E-13 " "
relative error = 1.7880367569253544000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.859999999999961 " "
y[1] (closed_form) = 6.181919999999914 " "
y[1] (numeric) = 6.181920000000017 " "
absolute error = 1.03028696685214530000000000000E-13 " "
relative error = 1.6666132315723264000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.869999999999965 " "
y[1] (closed_form) = 6.204379999999921 " "
y[1] (numeric) = 6.204380000000016 " "
absolute error = 9.5035090907913400000000000000E-14 " "
relative error = 1.5317419453340160000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.879999999999968 " "
y[1] (closed_form) = 6.2268799999999285 " "
y[1] (numeric) = 6.226880000000016 " "
absolute error = 8.7929663550312400000000000000E-14 " "
relative error = 1.4120982506538332000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.889999999999971 " "
y[1] (closed_form) = 6.249419999999936 " "
y[1] (numeric) = 6.249420000000017 " "
absolute error = 8.0824236192711400000000000000E-14 " "
relative error = 1.2933077980470545000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.899999999999975 " "
y[1] (closed_form) = 6.271999999999943 " "
y[1] (numeric) = 6.272000000000016 " "
absolute error = 7.28306304154102700000000000000E-14 " "
relative error = 1.1612026533069345000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.909999999999978 " "
y[1] (closed_form) = 6.29461999999995 " "
y[1] (numeric) = 6.294620000000016 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.0441488613738363000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.919999999999981 " "
y[1] (closed_form) = 6.3172799999999585 " "
y[1] (numeric) = 6.317280000000016 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 9.1386795077166950000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.929999999999985 " "
y[1] (closed_form) = 6.339979999999966 " "
y[1] (numeric) = 6.339980000000016 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 7.8451338179627200000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.939999999999988 " "
y[1] (closed_form) = 6.362719999999973 " "
y[1] (numeric) = 6.3627200000000155 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 6.7003677901284660000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.949999999999991 " "
y[1] (closed_form) = 6.385499999999980 " "
y[1] (numeric) = 6.3855000000000155 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 5.4246274165382490000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.959999999999995 " "
y[1] (closed_form) = 6.408319999999988 " "
y[1] (numeric) = 6.408320000000015 " "
absolute error = 2.664535259100375700000000000000E-14 " "
relative error = 4.1579310320027413000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.969999999999998 " "
y[1] (closed_form) = 6.431179999999996 " "
y[1] (numeric) = 6.431180000000015 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.0383110460915047000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.980000000000001 " "
y[1] (closed_form) = 6.454080000000004 " "
y[1] (numeric) = 6.454080000000015 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 1.78899540385331760000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.990000000000005 " "
y[1] (closed_form) = 6.477020000000011 " "
y[1] (numeric) = 6.4770200000000155 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 6.85638163615461800000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
"Finished!"
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + ( 0.3 * x + 0.1 ) ; "
Iterations = 10000
"Total Elapsed Time "= 1 Minutes 34 Seconds
"Elapsed Time(since restart) "= 1 Minutes 34 Seconds
"Time to Timeout "= 1 Minutes 25 Seconds
Percent Done = 100.01000000000009 "%"
(%o255) temp/diffeq.add_lin_lin.max