(%i1) batch("temp/diffeq.add_lin_c.max")
read and interpret file: /home/dennis/src/mine/omni/testtar/omnisode0060dir/temp/diffeq.add_lin_c.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_m1,[30],convfloat)
(%i191) completearray(array_y_higher,[2,30],convfloat)
(%i192) completearray(array_y_higher_work,[2,30],convfloat)
(%i193) completearray(array_y_higher_work2,[2,30],convfloat)
(%i194) completearray(array_y_set_initial,[2,30],convfloat)
(%i195) completearray(array_given_rad_poles,[2,3],convfloat)
(%i196) completearray(array_given_ord_poles,[2,3],convfloat)
(%i197) completearray(array_rad_test_poles,[2,4],convfloat)
(%i198) completearray(array_ord_test_poles,[2,4],convfloat)
(%i199) completearray(array_fact_2,[30,30],convfloat)
(%i200) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%i201) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%i202) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%i203) 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))
(%i204) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%i205) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%i206) 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)
(%i207) 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)
(%i208) 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)
(%i209) 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)
(%i210) 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)
(%i211) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%i212) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%i213) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%i214) logitem_good_digits(file,rel_error):=(
block(mode_declare([[good_digits],fixnum]),
printf(file,""),
printf(file,"~d",glob_min_good_digits),
printf(file," | ")),0)
(%i215) log_revs(file,revs):=printf(file,revs)
(%i216) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%i217) 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)
(%i218) logstart(file):=(printf(file,""),0)
(%i219) logend(file):=(printf(file,"
~%"),0)
(%i220) 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)
(%i221) 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)
(%i222) 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)
(%i223) 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)
(%i224) 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)
(%i225) c(in_val):=(ret:in_val,ret)
(%i226) 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)
(%i227) 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)
(%i228) 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)
(%i229) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%i230) factorial_2(nnn):=block(mode_declare([[ret],convfloat]),ret:nnn!,ret)
(%i231) 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)
(%i232) factorial_1(in):=block(mode_declare([[ret],convfloat]),ret:in!,ret)
(%i233) neg(in):=block(mode_declare([[ret],convfloat]),ret:-in,ret)
(%i234) 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)
(%i235) log10(x):=log(x)/glob_log_10
(%i236) c(x):=x
(%i237) 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
(%i238) 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)
(%i239) exact_soln_y(x):=block(c(0.5)*c(x)+c(0.05)*c(x)*c(x))
(%o239) exact_soln_y(x) := block(c(0.5) c(x) + c(0.05) c(x) c(x))
(%i240) 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)
(%i241) my_check_sign(x0,xf):=block([ret],
if xf > x0 then ret:glob__1 else ret:glob__m1,ret)
(%i242) 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)
(%i243) 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)
(%i244) 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))
(%i245) 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))
(%i246) 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(22)
*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)
(%i247) 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)
(%i248) 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)
(%i249) 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_tmp3[1],
if not array_y_set_initial[1,2]
then (if 1 <= ats_max_terms
then (
temporary
:c(array_tmp4[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_tmp3[2],
if not array_y_set_initial[1,3]
then (if 2 <= ats_max_terms
then (
temporary
:c(array_tmp4[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_tmp4[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_tmp4[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_tmp4[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_tmp4[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)
(%i250) exact_soln_y(x):=block(c(0.5)*c(x)+c(0.05)*c(x)*c(x))
(%o250) exact_soln_y(x) := block(c(0.5) c(x) + c(0.05) c(x) c(x))
(%i251) 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_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_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_cpostode.ode#################"),
omniout_str(always,
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + 0.3 ; "),
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(0.05) * c(x) * c(x) + c(0.5) * 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 ; "),
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,
"2015-04-24T20:11:39-05:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"add_lin_c"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + 0.3 ; "),
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_c diffeq.max"),
logitem_str(html_log_file,
"add_lin_c maxima results"),
logitem_str(html_log_file,"OK"),
logend(html_log_file)),
if glob_html_log then close(html_log_file)))
(%i252) main():=(glob_iolevel:2,compile(all),main_prog())
(%i253) 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 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_cpostode.ode#################"
"diff ( y , x , 1 ) = ( 0.1 * x + 0.2 ) + 0.3 ; "
"!"
"/* 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(0.05) * c(x) * c(x) + c(0.5) * 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) = -1.25 " "
y[1] (numeric) = -1.25 " "
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) = -1.249995 " "
y[1] (numeric) = -1.249995 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
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) = -1.24998 " "
y[1] (numeric) = -1.24998 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
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) = -1.249955 " "
y[1] (numeric) = -1.249955 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
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) = -1.24992 " "
y[1] (numeric) = -1.2499200000000001 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.776470533514395400000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.949999999999983 " "
y[1] (closed_form) = -1.2498749999999998 " "
y[1] (numeric) = -1.249875 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.776534492849535500000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.93999999999998 " "
y[1] (closed_form) = -1.24982 " "
y[1] (numeric) = -1.2498200000000002 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.776612671624964700000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.929999999999977 " "
y[1] (closed_form) = -1.2497549999999997 " "
y[1] (numeric) = -1.2497550000000002 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.55341014718935100000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.919999999999973 " "
y[1] (closed_form) = -1.2496799999999997 " "
y[1] (numeric) = -1.2496800000000001 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.553623406392538000000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.90999999999997 " "
y[1] (closed_form) = -1.2495949999999998 " "
y[1] (numeric) = -1.249595 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.776932565551489500000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.899999999999967 " "
y[1] (closed_form) = -1.2494999999999996 " "
y[1] (numeric) = -1.2495 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.55413533293367560000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.889999999999963 " "
y[1] (closed_form) = -1.2493949999999996 " "
y[1] (numeric) = -1.2493949999999998 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.777217012434269300000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.87999999999996 " "
y[1] (closed_form) = -1.2492799999999995 " "
y[1] (numeric) = -1.24928 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.554761221263950700000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.869999999999957 " "
y[1] (closed_form) = -1.2491549999999993 " "
y[1] (numeric) = -1.2491549999999998 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.5551169378504900000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.859999999999953 " "
y[1] (closed_form) = -1.2490199999999994 " "
y[1] (numeric) = -1.2490199999999998 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.555501191734823000000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.84999999999995 " "
y[1] (closed_form) = -1.2488749999999993 " "
y[1] (numeric) = -1.2488749999999997 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.55591400140176500000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.839999999999947 " "
y[1] (closed_form) = -1.2487199999999992 " "
y[1] (numeric) = -1.2487199999999996 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 3.55635538671650100000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.829999999999943 " "
y[1] (closed_form) = -1.248554999999999 " "
y[1] (numeric) = -1.2485549999999996 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 5.33523805339047500000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.81999999999994 " "
y[1] (closed_form) = -1.248379999999999 " "
y[1] (numeric) = -1.2483799999999996 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 5.33598595599973100000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.8099999999999365 " "
y[1] (closed_form) = -1.2481949999999988 " "
y[1] (numeric) = -1.2481949999999995 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 5.33677682393451800000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.799999999999933 " "
y[1] (closed_form) = -1.2479999999999987 " "
y[1] (numeric) = -1.2479999999999996 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 7.11681426041767800000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.78999999999993 " "
y[1] (closed_form) = -1.2477949999999984 " "
y[1] (numeric) = -1.2477949999999995 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.89747935057567900000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7799999999999265 " "
y[1] (closed_form) = -1.2475799999999984 " "
y[1] (numeric) = -1.2475799999999995 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.8990126855605100000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 14
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.769999999999923 " "
y[1] (closed_form) = -1.2473549999999982 " "
y[1] (numeric) = -1.2473549999999993 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.9006179044871600000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.75999999999992 " "
y[1] (closed_form) = -1.247119999999998 " "
y[1] (numeric) = -1.2471199999999991 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.90229508487682200000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7499999999999165 " "
y[1] (closed_form) = -1.246874999999998 " "
y[1] (numeric) = -1.246874999999999 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.90404430777069300000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.739999999999913 " "
y[1] (closed_form) = -1.2466199999999978 " "
y[1] (numeric) = -1.246619999999999 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.90586565773979700000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.72999999999991 " "
y[1] (closed_form) = -1.2463549999999977 " "
y[1] (numeric) = -1.2463549999999988 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.90775922289523200000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7199999999999065 " "
y[1] (closed_form) = -1.2460799999999974 " "
y[1] (numeric) = -1.2460799999999987 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.06916701138786470000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.709999999999903 " "
y[1] (closed_form) = -1.245794999999997 " "
y[1] (numeric) = -1.2457949999999987 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.24764687165643030000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6999999999999 " "
y[1] (closed_form) = -1.245499999999997 " "
y[1] (numeric) = -1.2454999999999985 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.24794238014871380000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6899999999998965 " "
y[1] (closed_form) = -1.2451949999999967 " "
y[1] (numeric) = -1.2451949999999985 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.42656920353860660000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.679999999999893 " "
y[1] (closed_form) = -1.2448799999999967 " "
y[1] (numeric) = -1.2448799999999982 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.24856390533643670000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.66999999999989 " "
y[1] (closed_form) = -1.2445549999999963 " "
y[1] (numeric) = -1.2445549999999983 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.60571565284401900000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6599999999998865 " "
y[1] (closed_form) = -1.244219999999996 " "
y[1] (numeric) = -1.244219999999998 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.60614798373703040000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.649999999999883 " "
y[1] (closed_form) = -1.2438749999999958 " "
y[1] (numeric) = -1.243874999999998 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.78510384825671410000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.63999999999988 " "
y[1] (closed_form) = -1.2435199999999957 " "
y[1] (numeric) = -1.243519999999998 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.78561345957469170000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.629999999999876 " "
y[1] (closed_form) = -1.2431549999999953 " "
y[1] (numeric) = -1.243154999999998 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 2.1433652755291058000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.619999999999873 " "
y[1] (closed_form) = -1.242779999999995 " "
y[1] (numeric) = -1.2427799999999978 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 2.14401202071194120000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.60999999999987 " "
y[1] (closed_form) = -1.242394999999995 " "
y[1] (numeric) = -1.2423949999999977 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 2.14467641861113940000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.599999999999866 " "
y[1] (closed_form) = -1.2419999999999947 " "
y[1] (numeric) = -1.2419999999999973 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 2.1453585016911328000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.589999999999863 " "
y[1] (closed_form) = -1.2415949999999945 " "
y[1] (numeric) = -1.2415949999999973 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 2.3248964952544268000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.57999999999986 " "
y[1] (closed_form) = -1.2411799999999942 " "
y[1] (numeric) = -1.241179999999997 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 2.32567384587684360000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.569999999999856 " "
y[1] (closed_form) = -1.2407549999999938 " "
y[1] (numeric) = -1.240754999999997 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 2.50542973346910060000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.559999999999853 " "
y[1] (closed_form) = -1.2403199999999934 " "
y[1] (numeric) = -1.2403199999999968 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 2.6853304581684460000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.54999999999985 " "
y[1] (closed_form) = -1.2398749999999932 " "
y[1] (numeric) = -1.2398749999999967 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 2.86538052529530850000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.539999999999846 " "
y[1] (closed_form) = -1.2394199999999929 " "
y[1] (numeric) = -1.2394199999999964 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 2.86643242710342000000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.529999999999843 " "
y[1] (closed_form) = -1.2389549999999927 " "
y[1] (numeric) = -1.2389549999999965 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 3.04672751127002540000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.51999999999984 " "
y[1] (closed_form) = -1.2384799999999923 " "
y[1] (numeric) = -1.2384799999999963 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 3.2271840390241170000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.509999999999836 " "
y[1] (closed_form) = -1.237994999999992 " "
y[1] (numeric) = -1.2379949999999962 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 3.40780656915062040000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.499999999999833 " "
y[1] (closed_form) = -1.2374999999999916 " "
y[1] (numeric) = -1.237499999999996 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 3.5885996755560856000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.48999999999983 " "
y[1] (closed_form) = -1.2369949999999914 " "
y[1] (numeric) = -1.2369949999999958 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 3.5900647120648480000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.479999999999826 " "
y[1] (closed_form) = -1.236479999999991 " "
y[1] (numeric) = -1.2364799999999956 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 3.7711379912539560000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.469999999999823 " "
y[1] (closed_form) = -1.2359549999999906 " "
y[1] (numeric) = -1.2359549999999955 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 3.9523941473198670000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.45999999999982 " "
y[1] (closed_form) = -1.2354199999999902 " "
y[1] (numeric) = -1.235419999999995 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 3.95410573598511230000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.449999999999816 " "
y[1] (closed_form) = -1.23487499999999 " "
y[1] (numeric) = -1.234874999999995 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 4.13566224377022950000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.439999999999813 " "
y[1] (closed_form) = -1.2343199999999896 " "
y[1] (numeric) = -1.2343199999999948 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 4.13752180413163750000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.42999999999981 " "
y[1] (closed_form) = -1.2337549999999893 " "
y[1] (numeric) = -1.2337549999999946 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 4.319391222893360000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.419999999999806 " "
y[1] (closed_form) = -1.2331799999999888 " "
y[1] (numeric) = -1.2331799999999944 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 4.50146379533063500000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.409999999999803 " "
y[1] (closed_form) = -1.2325949999999883 " "
y[1] (numeric) = -1.2325949999999941 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 4.6837442371994610000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.3999999999998 " "
y[1] (closed_form) = -1.231999999999988 " "
y[1] (numeric) = -1.231999999999994 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 4.8662372832596610000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.389999999999796 " "
y[1] (closed_form) = -1.2313949999999876 " "
y[1] (numeric) = -1.2313949999999938 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 5.0489476877045460000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.379999999999793 " "
y[1] (closed_form) = -1.2307799999999873 " "
y[1] (numeric) = -1.2307799999999935 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 5.05147056167710000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.36999999999979 " "
y[1] (closed_form) = -1.2301549999999868 " "
y[1] (numeric) = -1.2301549999999934 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 5.4150396882921350000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.359999999999786 " "
y[1] (closed_form) = -1.2295199999999862 " "
y[1] (numeric) = -1.2295199999999933 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 5.7790254388713340000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.349999999999783 " "
y[1] (closed_form) = -1.2288749999999857 " "
y[1] (numeric) = -1.228874999999993 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 5.9627480114137880000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.33999999999978 " "
y[1] (closed_form) = -1.2282199999999854 " "
y[1] (numeric) = -1.228219999999993 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 6.1467135915806240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.329999999999776 " "
y[1] (closed_form) = -1.227554999999985 " "
y[1] (numeric) = -1.2275549999999926 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 6.1500434338593020000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.319999999999773 " "
y[1] (closed_form) = -1.2268799999999844 " "
y[1] (numeric) = -1.2268799999999924 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 6.5153933370021750000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.30999999999977 " "
y[1] (closed_form) = -1.2261949999999842 " "
y[1] (numeric) = -1.2261949999999922 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 6.5190330879682510000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.299999999999766 " "
y[1] (closed_form) = -1.2254999999999836 " "
y[1] (numeric) = -1.2254999999999918 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 6.703917080559990000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.289999999999763 " "
y[1] (closed_form) = -1.2247949999999832 " "
y[1] (numeric) = -1.2247949999999916 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 6.8890671395223730000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.2799999999997596 " "
y[1] (closed_form) = -1.2240799999999827 " "
y[1] (numeric) = -1.2240799999999914 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 7.0744882622674520000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.269999999999756 " "
y[1] (closed_form) = -1.2233549999999822 " "
y[1] (numeric) = -1.223354999999991 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.2601854711031400000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.259999999999753 " "
y[1] (closed_form) = -1.2226199999999818 " "
y[1] (numeric) = -1.222619999999991 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 7.4461638137167870000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.2499999999997495 " "
y[1] (closed_form) = -1.2218749999999812 " "
y[1] (numeric) = -1.2218749999999905 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 7.6324283636635980000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.239999999999746 " "
y[1] (closed_form) = -1.2211199999999807 " "
y[1] (numeric) = -1.2211199999999904 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 8.0008210632055270000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.229999999999743 " "
y[1] (closed_form) = -1.22035499999998 " "
y[1] (numeric) = -1.22035499999999 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 8.1877873419018010000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.2199999999997395 " "
y[1] (closed_form) = -1.2195799999999797 " "
y[1] (numeric) = -1.21957999999999 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 8.375056844611760000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.209999999999736 " "
y[1] (closed_form) = -1.2187949999999792 " "
y[1] (numeric) = -1.2187949999999896 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 8.5626347593128040000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.199999999999733 " "
y[1] (closed_form) = -1.2179999999999787 " "
y[1] (numeric) = -1.2179999999999895 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 8.9328289337657840000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1899999999997295 " "
y[1] (closed_form) = -1.217194999999978 " "
y[1] (numeric) = -1.2171949999999891 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 9.1211599178864230000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.179999999999726 " "
y[1] (closed_form) = -1.2163799999999776 " "
y[1] (numeric) = -1.216379999999989 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 9.3098167112060430000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.169999999999723 " "
y[1] (closed_form) = -1.215554999999977 " "
y[1] (numeric) = -1.2155549999999884 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 9.3161353054175330000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1599999999997195 " "
y[1] (closed_form) = -1.2147199999999765 " "
y[1] (numeric) = -1.2147199999999883 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 9.6881290017673930000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.149999999999716 " "
y[1] (closed_form) = -1.2138749999999758 " "
y[1] (numeric) = -1.2138749999999878 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 9.8777952144594220000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.139999999999713 " "
y[1] (closed_form) = -1.2130199999999753 " "
y[1] (numeric) = -1.2130199999999876 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 1.0067808668345922000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1299999999997095 " "
y[1] (closed_form) = -1.2121549999999748 " "
y[1] (numeric) = -1.2121549999999872 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 1.0258174800914084000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.119999999999706 " "
y[1] (closed_form) = -1.2112799999999742 " "
y[1] (numeric) = -1.211279999999987 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 1.0632213101555453000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.109999999999703 " "
y[1] (closed_form) = -1.2103949999999735 " "
y[1] (numeric) = -1.2103949999999866 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 1.0823435069194053000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.099999999999700 " "
y[1] (closed_form) = -1.209499999999973 " "
y[1] (numeric) = -1.2094999999999865 " "
absolute error = 1.35447209004269100000000000000E-14 " "
relative error = 1.1198611740741804000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.089999999999696 " "
y[1] (closed_form) = -1.2085949999999723 " "
y[1] (numeric) = -1.208594999999986 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 1.1390718566064112000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.079999999999693 " "
y[1] (closed_form) = -1.2076799999999719 " "
y[1] (numeric) = -1.2076799999999859 " "
absolute error = 1.398881011027697200000000000000E-14 " "
relative error = 1.1583209219559236000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.069999999999690 " "
y[1] (closed_form) = -1.2067549999999712 " "
y[1] (numeric) = -1.2067549999999856 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.196009075589277000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.059999999999686 " "
y[1] (closed_form) = -1.2058199999999704 " "
y[1] (numeric) = -1.2058199999999852 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.233765282544448000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.049999999999683 " "
y[1] (closed_form) = -1.2048749999999697 " "
y[1] (numeric) = -1.204874999999985 " "
absolute error = 1.53210777398271600000000000000E-14 " "
relative error = 1.2715906413385245000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.039999999999680 " "
y[1] (closed_form) = -1.2039199999999692 " "
y[1] (numeric) = -1.2039199999999848 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 1.291042788952139000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.029999999999676 " "
y[1] (closed_form) = -1.2029549999999687 " "
y[1] (numeric) = -1.2029549999999842 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 1.2920784522074888000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.019999999999673 " "
y[1] (closed_form) = -1.2019799999999679 " "
y[1] (numeric) = -1.201979999999984 " "
absolute error = 1.620925615952728500000000000000E-14 " "
relative error = 1.3485462453225278000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.009999999999670 " "
y[1] (closed_form) = -1.2009949999999674 " "
y[1] (numeric) = -1.2009949999999836 " "
absolute error = 1.620925615952728500000000000000E-14 " "
relative error = 1.3496522599617589000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9999999999996665 " "
y[1] (closed_form) = -1.1999999999999666 " "
y[1] (numeric) = -1.1999999999999833 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 1.3877787807814843000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9899999999996676 " "
y[1] (closed_form) = -1.1989949999999663 " "
y[1] (numeric) = -1.198994999999983 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 1.3889420197230026000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9799999999996687 " "
y[1] (closed_form) = -1.197979999999966 " "
y[1] (numeric) = -1.1979799999999825 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 1.3715838965970034000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.96999999999967 " "
y[1] (closed_form) = -1.196954999999966 " "
y[1] (numeric) = -1.1969549999999822 " "
absolute error = 1.620925615952728500000000000000E-14 " "
relative error = 1.3542076485354710000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.959999999999671 " "
y[1] (closed_form) = -1.195919999999966 " "
y[1] (numeric) = -1.1959199999999819 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 1.336812793046584200000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.949999999999672 " "
y[1] (closed_form) = -1.1948749999999655 " "
y[1] (numeric) = -1.1948749999999815 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 1.3379819273650145000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.939999999999673 " "
y[1] (closed_form) = -1.1938199999999655 " "
y[1] (numeric) = -1.1938199999999812 " "
absolute error = 1.576516694967722300000000000000E-14 " "
relative error = 1.3205648213028498000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.929999999999674 " "
y[1] (closed_form) = -1.1927549999999651 " "
y[1] (numeric) = -1.192754999999981 " "
absolute error = 1.576516694967722300000000000000E-14 " "
relative error = 1.3217439415200677000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9199999999996753 " "
y[1] (closed_form) = -1.1916799999999648 " "
y[1] (numeric) = -1.1916799999999805 " "
absolute error = 1.576516694967722300000000000000E-14 " "
relative error = 1.322936270616078800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9099999999996764 " "
y[1] (closed_form) = -1.1905949999999645 " "
y[1] (numeric) = -1.1905949999999803 " "
absolute error = 1.576516694967722300000000000000E-14 " "
relative error = 1.3241418744138597000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8999999999996775 " "
y[1] (closed_form) = -1.1894999999999645 " "
y[1] (numeric) = -1.1894999999999798 " "
absolute error = 1.53210777398271600000000000000E-14 " "
relative error = 1.2880267120494002000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8899999999996786 " "
y[1] (closed_form) = -1.1883949999999643 " "
y[1] (numeric) = -1.1883949999999797 " "
absolute error = 1.53210777398271600000000000000E-14 " "
relative error = 1.2892243521579627000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8799999999996797 " "
y[1] (closed_form) = -1.1872799999999641 " "
y[1] (numeric) = -1.1872799999999792 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 1.2717331324458075000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.869999999999681 " "
y[1] (closed_form) = -1.1861549999999639 " "
y[1] (numeric) = -1.186154999999979 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 1.2729392983971394000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.859999999999682 " "
y[1] (closed_form) = -1.1850199999999638 " "
y[1] (numeric) = -1.1850199999999786 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.2554208815022153000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.849999999999683 " "
y[1] (closed_form) = -1.1838749999999636 " "
y[1] (numeric) = -1.1838749999999785 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.2566350780257673000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.839999999999684 " "
y[1] (closed_form) = -1.1827199999999634 " "
y[1] (numeric) = -1.182719999999978 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 1.2390881971263291000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.829999999999685 " "
y[1] (closed_form) = -1.181554999999963 " "
y[1] (numeric) = -1.181554999999978 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.259102498823801200000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8199999999996863 " "
y[1] (closed_form) = -1.1803799999999631 " "
y[1] (numeric) = -1.1803799999999776 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.2227332994567415000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8099999999996874 " "
y[1] (closed_form) = -1.1791949999999627 " "
y[1] (numeric) = -1.1791949999999773 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 1.2427922375054617000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7999999999996885 " "
y[1] (closed_form) = -1.1779999999999626 " "
y[1] (numeric) = -1.177999999999977 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.2252036774301776000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7899999999996896 " "
y[1] (closed_form) = -1.1767949999999625 " "
y[1] (numeric) = -1.1767949999999767 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 1.2075896579440307000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7799999999996907 " "
y[1] (closed_form) = -1.1755799999999623 " "
y[1] (numeric) = -1.1755799999999765 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 1.2088377409621175000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.769999999999692 " "
y[1] (closed_form) = -1.174354999999962 " "
y[1] (numeric) = -1.1743549999999763 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 1.2100987107989034000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.759999999999693 " "
y[1] (closed_form) = -1.1731199999999617 " "
y[1] (numeric) = -1.1731199999999757 " "
absolute error = 1.398881011027697200000000000000E-14 " "
relative error = 1.192444942570020900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.749999999999694 " "
y[1] (closed_form) = -1.1718749999999618 " "
y[1] (numeric) = -1.1718749999999756 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 1.1747639897900705000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.739999999999695 " "
y[1] (closed_form) = -1.1706199999999616 " "
y[1] (numeric) = -1.1706199999999751 " "
absolute error = 1.35447209004269100000000000000E-14 " "
relative error = 1.1570553126059142000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7299999999996962 " "
y[1] (closed_form) = -1.1693549999999613 " "
y[1] (numeric) = -1.1693549999999748 " "
absolute error = 1.35447209004269100000000000000E-14 " "
relative error = 1.1583070068907524000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7199999999996973 " "
y[1] (closed_form) = -1.1680799999999611 " "
y[1] (numeric) = -1.1680799999999745 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 1.1405619731099172000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7099999999996984 " "
y[1] (closed_form) = -1.166794999999961 " "
y[1] (numeric) = -1.166794999999974 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 1.1227877811078456000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6999999999996995 " "
y[1] (closed_form) = -1.165499999999961 " "
y[1] (numeric) = -1.1654999999999738 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 1.1049838769328398000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6899999999997006 " "
y[1] (closed_form) = -1.1641949999999608 " "
y[1] (numeric) = -1.1641949999999734 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 1.0871497026466537000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6799999999997017 " "
y[1] (closed_form) = -1.1628799999999606 " "
y[1] (numeric) = -1.162879999999973 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 1.0692846962543147000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.669999999999703 " "
y[1] (closed_form) = -1.1615549999999604 " "
y[1] (numeric) = -1.1615549999999728 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 1.070504442389915000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.659999999999704 " "
y[1] (closed_form) = -1.1602199999999603 " "
y[1] (numeric) = -1.1602199999999725 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 1.0525980650977520000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.649999999999705 " "
y[1] (closed_form) = -1.1588749999999601 " "
y[1] (numeric) = -1.1588749999999721 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 1.0346593606689335000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.639999999999706 " "
y[1] (closed_form) = -1.15751999999996 " "
y[1] (numeric) = -1.157519999999972 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 1.0358705392522036000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6299999999997072 " "
y[1] (closed_form) = -1.1561549999999599 " "
y[1] (numeric) = -1.1561549999999714 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 9.9868265553511670000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6199999999997083 " "
y[1] (closed_form) = -1.1547799999999597 " "
y[1] (numeric) = -1.1547799999999713 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 9.9987178996016830000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6099999999997094 " "
y[1] (closed_form) = -1.1533949999999598 " "
y[1] (numeric) = -1.1533949999999709 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 9.625696527427249000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5999999999997105 " "
y[1] (closed_form) = -1.1519999999999595 " "
y[1] (numeric) = -1.1519999999999706 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 9.6373526443159330000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5899999999997116 " "
y[1] (closed_form) = -1.1505949999999592 " "
y[1] (numeric) = -1.1505949999999703 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 9.6491208863691910000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5799999999997127 " "
y[1] (closed_form) = -1.1491799999999592 " "
y[1] (numeric) = -1.1491799999999701 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 9.4677819326188420000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.569999999999714 " "
y[1] (closed_form) = -1.1477549999999592 " "
y[1] (numeric) = -1.1477549999999697 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 9.0926168315335960000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.559999999999715 " "
y[1] (closed_form) = -1.146319999999959 " "
y[1] (numeric) = -1.1463199999999696 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 9.2977013716954120000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.549999999999716 " "
y[1] (closed_form) = -1.1448749999999588 " "
y[1] (numeric) = -1.1448749999999692 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 9.1154898407920930000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.539999999999717 " "
y[1] (closed_form) = -1.1434199999999586 " "
y[1] (numeric) = -1.143419999999969 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 9.1270892860688540000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5299999999997183 " "
y[1] (closed_form) = -1.1419549999999585 " "
y[1] (numeric) = -1.1419549999999687 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 8.9443557990917420000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5199999999997194 " "
y[1] (closed_form) = -1.1404799999999584 " "
y[1] (numeric) = -1.1404799999999684 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 8.761229676650860000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5099999999997205 " "
y[1] (closed_form) = -1.1389949999999582 " "
y[1] (numeric) = -1.1389949999999682 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 8.7726524011315020000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4999999999997216 " "
y[1] (closed_form) = -1.1374999999999582 " "
y[1] (numeric) = -1.137499999999968 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 8.5889781245729560000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4899999999997227 " "
y[1] (closed_form) = -1.1359949999999581 " "
y[1] (numeric) = -1.1359949999999677 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 8.404894398106240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4799999999997238 " "
y[1] (closed_form) = -1.134479999999958 " "
y[1] (numeric) = -1.1344799999999675 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 8.4161184082369890000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.469999999999725 " "
y[1] (closed_form) = -1.1329549999999577 " "
y[1] (numeric) = -1.1329549999999673 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 8.4274468198443030000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.459999999999726 " "
y[1] (closed_form) = -1.1314199999999577 " "
y[1] (numeric) = -1.131419999999967 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 8.2426273239395320000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.449999999999727 " "
y[1] (closed_form) = -1.1298749999999576 " "
y[1] (numeric) = -1.1298749999999669 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 8.2538983576516570000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.439999999999728 " "
y[1] (closed_form) = -1.1283199999999576 " "
y[1] (numeric) = -1.1283199999999665 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.8716890571837660000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4299999999997293 " "
y[1] (closed_form) = -1.1267549999999575 " "
y[1] (numeric) = -1.1267549999999664 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.8826223952869860000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4199999999997304 " "
y[1] (closed_form) = -1.1251799999999572 " "
y[1] (numeric) = -1.125179999999966 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.8936563012154410000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4099999999997315 " "
y[1] (closed_form) = -1.1235949999999573 " "
y[1] (numeric) = -1.1235949999999657 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 7.5095519178632080000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3999999999997326 " "
y[1] (closed_form) = -1.1219999999999573 " "
y[1] (numeric) = -1.1219999999999655 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 7.3223265438738600000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3899999999997337 " "
y[1] (closed_form) = -1.1203949999999572 " "
y[1] (numeric) = -1.1203949999999652 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 7.1346317837025630000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3799999999997348 " "
y[1] (closed_form) = -1.118779999999957 " "
y[1] (numeric) = -1.1187799999999648 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 6.9464605841866990000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.369999999999736 " "
y[1] (closed_form) = -1.1171549999999568 " "
y[1] (numeric) = -1.1171549999999646 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 6.9565648207960360000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.359999999999737 " "
y[1] (closed_form) = -1.115519999999957 " "
y[1] (numeric) = -1.115519999999964 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 6.369610009324150000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.349999999999738 " "
y[1] (closed_form) = -1.1138749999999566 " "
y[1] (numeric) = -1.113874999999964 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 6.5783610930547120000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.339999999999739 " "
y[1] (closed_form) = -1.1122199999999567 " "
y[1] (numeric) = -1.1122199999999636 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 6.1888679871574330000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3299999999997403 " "
y[1] (closed_form) = -1.1105549999999567 " "
y[1] (numeric) = -1.1105549999999633 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 5.9982064352969460000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3199999999997414 " "
y[1] (closed_form) = -1.1088799999999566 " "
y[1] (numeric) = -1.108879999999963 " "
absolute error = 6.439293542825908000000000000000E-15 " "
relative error = 5.8070246941293560000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3099999999997425 " "
y[1] (closed_form) = -1.1071949999999564 " "
y[1] (numeric) = -1.1071949999999628 " "
absolute error = 6.439293542825908000000000000000E-15 " "
relative error = 5.8158621948492920000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2999999999997436 " "
y[1] (closed_form) = -1.1054999999999564 " "
y[1] (numeric) = -1.1054999999999624 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 5.4230704052248590000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2899999999997447 " "
y[1] (closed_form) = -1.1037949999999563 " "
y[1] (numeric) = -1.1037949999999623 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 5.4314472641895310000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.279999999999746 " "
y[1] (closed_form) = -1.1020799999999562 " "
y[1] (numeric) = -1.102079999999962 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 5.2384216463877790000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.269999999999747 " "
y[1] (closed_form) = -1.1003549999999562 " "
y[1] (numeric) = -1.1003549999999618 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 5.0448401862362640000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.259999999999748 " "
y[1] (closed_form) = -1.0986199999999562 " "
y[1] (numeric) = -1.0986199999999615 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 4.8506949793385923000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.249999999999749 " "
y[1] (closed_form) = -1.096874999999956 " "
y[1] (numeric) = -1.0968749999999612 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 4.6559780405934360000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.23999999999975 " "
y[1] (closed_form) = -1.0951199999999561 " "
y[1] (numeric) = -1.095119999999961 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 4.4606813028260690000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2299999999997513 " "
y[1] (closed_form) = -1.093354999999956 " "
y[1] (numeric) = -1.0933549999999608 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 4.4678821685096665000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2199999999997524 " "
y[1] (closed_form) = -1.091579999999956 " "
y[1] (numeric) = -1.0915799999999605 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 4.0683157427772630000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2099999999997535 " "
y[1] (closed_form) = -1.0897949999999559 " "
y[1] (numeric) = -1.0897949999999603 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 4.0749793295994250000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1999999999997546 " "
y[1] (closed_form) = -1.0879999999999557 " "
y[1] (numeric) = -1.08799999999996 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 4.08170229641618300000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1899999999997557 " "
y[1] (closed_form) = -1.0861949999999556 " "
y[1] (numeric) = -1.0861949999999598 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 3.88406086713321940000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.179999999999757 " "
y[1] (closed_form) = -1.0843799999999557 " "
y[1] (numeric) = -1.0843799999999597 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 3.6857954671339630000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.169999999999758 " "
y[1] (closed_form) = -1.0825549999999557 " "
y[1] (numeric) = -1.0825549999999593 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 3.28178584810993050000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.159999999999759 " "
y[1] (closed_form) = -1.0807199999999557 " "
y[1] (numeric) = -1.0807199999999593 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 3.2873581305061866000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.14999999999976 " "
y[1] (closed_form) = -1.0788749999999556 " "
y[1] (numeric) = -1.078874999999959 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 3.08716864685492400000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.139999999999761 " "
y[1] (closed_form) = -1.0770199999999557 " "
y[1] (numeric) = -1.0770199999999588 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 2.8863200952169560000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1299999999997623 " "
y[1] (closed_form) = -1.0751549999999555 " "
y[1] (numeric) = -1.0751549999999586 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 2.8913268030661320000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1199999999997634 " "
y[1] (closed_form) = -1.0732799999999556 " "
y[1] (numeric) = -1.0732799999999585 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 2.68949376120446340000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1099999999997645 " "
y[1] (closed_form) = -1.0713949999999555 " "
y[1] (numeric) = -1.0713949999999581 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 2.48697750045546840000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0999999999997656 " "
y[1] (closed_form) = -1.0694999999999555 " "
y[1] (numeric) = -1.0694999999999582 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 2.49138406648011820000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0899999999997667 " "
y[1] (closed_form) = -1.0675949999999554 " "
y[1] (numeric) = -1.0675949999999577 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.0798580447177120000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.079999999999768 " "
y[1] (closed_form) = -1.0656799999999553 " "
y[1] (numeric) = -1.0656799999999576 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 2.08359549700698730000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.069999999999769 " "
y[1] (closed_form) = -1.0637549999999554 " "
y[1] (numeric) = -1.0637549999999572 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.66989282250172730000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.05999999999977 " "
y[1] (closed_form) = -1.0618199999999554 " "
y[1] (numeric) = -1.061819999999957 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.46381894716174520000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.049999999999771 " "
y[1] (closed_form) = -1.0598749999999553 " "
y[1] (numeric) = -1.0598749999999566 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.25700448595376240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.039999999999772 " "
y[1] (closed_form) = -1.0579199999999553 " "
y[1] (numeric) = -1.0579199999999565 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.04943948939920160000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0299999999997733 " "
y[1] (closed_form) = -1.0559549999999553 " "
y[1] (numeric) = -1.055954999999956 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.30835418910012400000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0199999999997744 " "
y[1] (closed_form) = -1.0539799999999553 " "
y[1] (numeric) = -1.053979999999956 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.320175096065600000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0099999999997755 " "
y[1] (closed_form) = -1.0519949999999554 " "
y[1] (numeric) = -1.0519949999999556 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.1107001927294400000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9999999999997766 " "
y[1] (closed_form) = -1.0499999999999554 " "
y[1] (numeric) = -1.0499999999999554 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9899999999997777 " "
y[1] (closed_form) = -1.0479949999999554 " "
y[1] (numeric) = -1.0479949999999552 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.11875633877108900000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.979999999999779 " "
y[1] (closed_form) = -1.0459799999999553 " "
y[1] (numeric) = -1.0459799999999548 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.24567591971243830000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.96999999999978 " "
y[1] (closed_form) = -1.0439549999999553 " "
y[1] (numeric) = -1.0439549999999547 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.38086713292356800000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.959999999999781 " "
y[1] (closed_form) = -1.0419199999999553 " "
y[1] (numeric) = -1.0419199999999544 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.52443968539008100000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.949999999999782 " "
y[1] (closed_form) = -1.0398749999999553 " "
y[1] (numeric) = -1.0398749999999541 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.06765046243558540000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9399999999997832 " "
y[1] (closed_form) = -1.0378199999999553 " "
y[1] (numeric) = -1.037819999999954 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.28371743611632560000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9299999999997843 " "
y[1] (closed_form) = -1.0357549999999554 " "
y[1] (numeric) = -1.0357549999999538 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.5006562695572660000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9199999999997854 " "
y[1] (closed_form) = -1.0336799999999553 " "
y[1] (numeric) = -1.0336799999999535 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.71847848405727840000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9099999999997865 " "
y[1] (closed_form) = -1.0315949999999554 " "
y[1] (numeric) = -1.0315949999999534 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.93719574476937940000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8999999999997876 " "
y[1] (closed_form) = -1.0294999999999555 " "
y[1] (numeric) = -1.029499999999953 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 2.3725018496118990000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8899999999997887 " "
y[1] (closed_form) = -1.0273949999999554 " "
y[1] (numeric) = -1.027394999999953 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 2.37736280026226540000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.87999999999979 " "
y[1] (closed_form) = -1.0252799999999556 " "
y[1] (numeric) = -1.0252799999999527 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 2.8154063904743410000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.869999999999791 " "
y[1] (closed_form) = -1.0231549999999554 " "
y[1] (numeric) = -1.0231549999999525 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 2.82125373381895500000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.859999999999792 " "
y[1] (closed_form) = -1.0210199999999554 " "
y[1] (numeric) = -1.0210199999999523 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 3.04462642156919000000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.849999999999793 " "
y[1] (closed_form) = -1.0188749999999556 " "
y[1] (numeric) = -1.0188749999999522 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 3.2689673157900767000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8399999999997942 " "
y[1] (closed_form) = -1.0167199999999554 " "
y[1] (numeric) = -1.0167199999999519 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 3.4942891639789286000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8299999999997953 " "
y[1] (closed_form) = -1.0145549999999557 " "
y[1] (numeric) = -1.014554999999952 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 3.720604879701640000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8199999999997964 " "
y[1] (closed_form) = -1.0123799999999556 " "
y[1] (numeric) = -1.0123799999999517 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 3.94792754563576760000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8099999999997975 " "
y[1] (closed_form) = -1.0101949999999555 " "
y[1] (numeric) = -1.0101949999999515 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 3.95646671053681600000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7999999999997986 " "
y[1] (closed_form) = -1.0079999999999556 " "
y[1] (numeric) = -1.0079999999999514 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 4.18536457696010000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7899999999997998 " "
y[1] (closed_form) = -1.0057949999999558 " "
y[1] (numeric) = -1.0057949999999511 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 4.6360706738707820000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.779999999999801 " "
y[1] (closed_form) = -1.0035799999999557 " "
y[1] (numeric) = -1.003579999999951 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 4.6463029389045850000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.769999999999802 " "
y[1] (closed_form) = -1.0013549999999558 " "
y[1] (numeric) = -1.001354999999951 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 4.8783711154894166000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.759999999999803 " "
y[1] (closed_form) = -0.9991199999999558 " "
y[1] (numeric) = -0.9991199999999507 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 5.1115240544438570000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.749999999999804 " "
y[1] (closed_form) = -0.996874999999956 " "
y[1] (numeric) = -0.9968749999999506 " "
absolute error = 5.440092820663267000000000000000E-15 " "
relative error = 5.4571464031734240000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7399999999998053 " "
y[1] (closed_form) = -0.994619999999956 " "
y[1] (numeric) = -0.9946199999999503 " "
absolute error = 5.662137425588298000000000000000E-15 " "
relative error = 5.6927644985909690000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7299999999998064 " "
y[1] (closed_form) = -0.992354999999956 " "
y[1] (numeric) = -0.9923549999999501 " "
absolute error = 5.88418203051333000000000000000E-15 " "
relative error = 5.9295131586111730000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7199999999998075 " "
y[1] (closed_form) = -0.9900799999999561 " "
y[1] (numeric) = -0.99007999999995 " "
absolute error = 6.106226635438361000000000000000E-15 " "
relative error = 6.1674073160134860000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7099999999998086 " "
y[1] (closed_form) = -0.9877949999999561 " "
y[1] (numeric) = -0.9877949999999498 " "
absolute error = 6.328271240363392000000000000000E-15 " "
relative error = 6.4064621104213650000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6999999999998097 " "
y[1] (closed_form) = -0.9854999999999562 " "
y[1] (numeric) = -0.9854999999999496 " "
absolute error = 6.5503158452884240000000000000000E-15 " "
relative error = 6.6466928922259920000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6899999999998108 " "
y[1] (closed_form) = -0.9831949999999563 " "
y[1] (numeric) = -0.9831949999999494 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 7.00103514834420000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.679999999999812 " "
y[1] (closed_form) = -0.9808799999999563 " "
y[1] (numeric) = -0.9808799999999493 " "
absolute error = 6.994405055138486000000000000000E-15 " "
relative error = 7.1307448975805370000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.669999999999813 " "
y[1] (closed_form) = -0.9785549999999564 " "
y[1] (numeric) = -0.9785549999999491 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 7.4880532647897770000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.659999999999814 " "
y[1] (closed_form) = -0.9762199999999565 " "
y[1] (numeric) = -0.9762199999999489 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 7.7334172291608460000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.649999999999815 " "
y[1] (closed_form) = -0.9738749999999565 " "
y[1] (numeric) = -0.9738749999999486 " "
absolute error = 7.882583474838611000000000000000E-15 " "
relative error = 8.0940402770776170000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6399999999998163 " "
y[1] (closed_form) = -0.9715199999999566 " "
y[1] (numeric) = -0.9715199999999485 " "
absolute error = 8.104628079763643000000000000000E-15 " "
relative error = 8.3422143442893650000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6299999999998174 " "
y[1] (closed_form) = -0.9691549999999567 " "
y[1] (numeric) = -0.9691549999999483 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 8.7062389268502640000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6199999999998185 " "
y[1] (closed_form) = -0.9667799999999568 " "
y[1] (numeric) = -0.9667799999999481 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 8.9573011358081540000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6099999999998196 " "
y[1] (closed_form) = -0.9643949999999568 " "
y[1] (numeric) = -0.9643949999999478 " "
absolute error = 8.992806499463768000000000000000E-15 " "
relative error = 9.3248165943043780000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5999999999998207 " "
y[1] (closed_form) = -0.9619999999999569 " "
y[1] (numeric) = -0.9619999999999478 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 9.46343950304230000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.589999999999822 " "
y[1] (closed_form) = -0.959594999999957 " "
y[1] (numeric) = -0.9595949999999475 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 9.9499455622182010000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.579999999999823 " "
y[1] (closed_form) = -0.9571799999999571 " "
y[1] (numeric) = -0.9571799999999474 " "
absolute error = 9.658940314238862000000000000000E-15 " "
relative error = 1.0091038586513816000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.569999999999824 " "
y[1] (closed_form) = -0.9547549999999572 " "
y[1] (numeric) = -0.9547549999999472 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 1.0465519658579277000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.559999999999825 " "
y[1] (closed_form) = -0.9523199999999573 " "
y[1] (numeric) = -0.9523199999999471 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 1.0725440846093644000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.549999999999826 " "
y[1] (closed_form) = -0.9498749999999574 " "
y[1] (numeric) = -0.9498749999999468 " "
absolute error = 1.054711873393898700000000000000E-14 " "
relative error = 1.110369125825972900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5399999999998273 " "
y[1] (closed_form) = -0.9474199999999575 " "
y[1] (numeric) = -0.9474199999999467 " "
absolute error = 1.076916333886401800000000000000E-14 " "
relative error = 1.1366831330206774000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5299999999998284 " "
y[1] (closed_form) = -0.9449549999999576 " "
y[1] (numeric) = -0.9449549999999466 " "
absolute error = 1.09912079437890500000000000000E-14 " "
relative error = 1.1631461756157219000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5199999999998295 " "
y[1] (closed_form) = -0.9424799999999577 " "
y[1] (numeric) = -0.9424799999999465 " "
absolute error = 1.121325254871408100000000000000E-14 " "
relative error = 1.1897602653334377000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5099999999998306 " "
y[1] (closed_form) = -0.9399949999999577 " "
y[1] (numeric) = -0.9399949999999462 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 1.2283383907469878000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4999999999998317 " "
y[1] (closed_form) = -0.9374999999999579 " "
y[1] (numeric) = -0.937499999999946 " "
absolute error = 1.187938636348917500000000000000E-14 " "
relative error = 1.2671345454389024000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.489999999999833 " "
y[1] (closed_form) = -0.934994999999958 " "
y[1] (numeric) = -0.9349949999999458 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 1.3061517196217381000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.479999999999834 " "
y[1] (closed_form) = -0.9324799999999581 " "
y[1] (numeric) = -0.9324799999999457 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 1.333486817497674000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.469999999999835 " "
y[1] (closed_form) = -0.9299549999999582 " "
y[1] (numeric) = -0.9299549999999455 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 1.3729228600512790000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.459999999999836 " "
y[1] (closed_form) = -0.9274199999999584 " "
y[1] (numeric) = -0.9274199999999453 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 1.4125888691830490000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.449999999999837 " "
y[1] (closed_form) = -0.9248749999999585 " "
y[1] (numeric) = -0.9248749999999452 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 1.4404839892420570000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4399999999998383 " "
y[1] (closed_form) = -0.9223199999999586 " "
y[1] (numeric) = -0.922319999999945 " "
absolute error = 1.365574320288942500000000000000E-14 " "
relative error = 1.4805862610471462000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4299999999998394 " "
y[1] (closed_form) = -0.9197549999999587 " "
y[1] (numeric) = -0.9197549999999448 " "
absolute error = 1.387778780781445700000000000000E-14 " "
relative error = 1.5088570116840985000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4199999999998405 " "
y[1] (closed_form) = -0.9171799999999588 " "
y[1] (numeric) = -0.9171799999999446 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 1.5494073917009354000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4099999999998416 " "
y[1] (closed_form) = -0.914594999999959 " "
y[1] (numeric) = -0.9145949999999445 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.5780645334959936000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3999999999998427 " "
y[1] (closed_form) = -0.9119999999999591 " "
y[1] (numeric) = -0.9119999999999443 " "
absolute error = 1.476596622751458200000000000000E-14 " "
relative error = 1.6190752442450926000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.389999999999844 " "
y[1] (closed_form) = -0.9093949999999592 " "
y[1] (numeric) = -0.9093949999999442 " "
absolute error = 1.498801083243961300000000000000E-14 " "
relative error = 1.6481298921195175000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.379999999999845 " "
y[1] (closed_form) = -0.9067799999999593 " "
y[1] (numeric) = -0.906779999999944 " "
absolute error = 1.53210777398271600000000000000E-14 " "
relative error = 1.689613549022679000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.369999999999846 " "
y[1] (closed_form) = -0.9041549999999594 " "
y[1] (numeric) = -0.904154999999944 " "
absolute error = 1.543210004228967600000000000000E-14 " "
relative error = 1.7067980647444708000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.359999999999847 " "
y[1] (closed_form) = -0.9015199999999597 " "
y[1] (numeric) = -0.9015199999999437 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 1.7733618283125133000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.349999999999848 " "
y[1] (closed_form) = -0.8988749999999598 " "
y[1] (numeric) = -0.8988749999999437 " "
absolute error = 1.60982338570647700000000000000E-14 " "
relative error = 1.7909313149287154000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3399999999998493 " "
y[1] (closed_form) = -0.8962199999999598 " "
y[1] (numeric) = -0.8962199999999434 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 1.8334003664784376000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3299999999998504 " "
y[1] (closed_form) = -0.89355499999996 " "
y[1] (numeric) = -0.8935549999999434 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 1.8637179993820296000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3199999999998515 " "
y[1] (closed_form) = -0.8908799999999601 " "
y[1] (numeric) = -0.890879999999943 " "
absolute error = 1.70974345792274100000000000000E-14 " "
relative error = 1.919162466238795000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3099999999998526 " "
y[1] (closed_form) = -0.8881949999999603 " "
y[1] (numeric) = -0.888194999999943 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 1.949963598551355800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2999999999998537 " "
y[1] (closed_form) = -0.8854999999999604 " "
y[1] (numeric) = -0.8854999999999428 " "
absolute error = 1.76525460915399900000000000000E-14 " "
relative error = 1.9935116986494383000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.289999999999855 " "
y[1] (closed_form) = -0.8827949999999607 " "
y[1] (numeric) = -0.8827949999999427 " "
absolute error = 1.798561299892753600000000000000E-14 " "
relative error = 2.0373487614823751000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.279999999999856 " "
y[1] (closed_form) = -0.8800799999999608 " "
y[1] (numeric) = -0.8800799999999425 " "
absolute error = 1.831867990631508300000000000000E-14 " "
relative error = 2.0814789458135513000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.269999999999857 " "
y[1] (closed_form) = -0.877354999999961 " "
y[1] (numeric) = -0.8773549999999424 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 2.1259064818349996000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.259999999999858 " "
y[1] (closed_form) = -0.8746199999999611 " "
y[1] (numeric) = -0.8746199999999422 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 2.157941896895623000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2499999999998592 " "
y[1] (closed_form) = -0.8718749999999613 " "
y[1] (numeric) = -0.8718749999999421 " "
absolute error = 1.920685832601520800000000000000E-14 " "
relative error = 2.202937155672092800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2399999999998603 " "
y[1] (closed_form) = -0.8691199999999615 " "
y[1] (numeric) = -0.8691199999999419 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 2.248242502002441900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2299999999998614 " "
y[1] (closed_form) = -0.8663549999999616 " "
y[1] (numeric) = -0.8663549999999418 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 2.281047588843910800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2199999999998625 " "
y[1] (closed_form) = -0.8635799999999618 " "
y[1] (numeric) = -0.8635799999999417 " "
absolute error = 2.009503674571533300000000000000E-14 " "
relative error = 2.326945592268952800000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2099999999998636 " "
y[1] (closed_form) = -0.860794999999962 " "
y[1] (numeric) = -0.8607949999999416 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 2.3731670900857674000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1999999999998647 " "
y[1] (closed_form) = -0.8579999999999621 " "
y[1] (numeric) = -0.8579999999999415 " "
absolute error = 2.065014825802791200000000000000E-14 " "
relative error = 2.4067771862504456000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.189999999999866 " "
y[1] (closed_form) = -0.8551949999999623 " "
y[1] (numeric) = -0.8551949999999413 " "
absolute error = 2.09832151654154600000000000000E-14 " "
relative error = 2.4536176153294145000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.179999999999867 " "
y[1] (closed_form) = -0.8523799999999625 " "
y[1] (numeric) = -0.8523799999999413 " "
absolute error = 2.12052597703404900000000000000E-14 " "
relative error = 2.4877706856497597000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.169999999999868 " "
y[1] (closed_form) = -0.8495549999999626 " "
y[1] (numeric) = -0.8495549999999411 " "
absolute error = 2.153832667772803700000000000000E-14 " "
relative error = 2.535248062542035000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.159999999999869 " "
y[1] (closed_form) = -0.8467199999999628 " "
y[1] (numeric) = -0.846719999999941 " "
absolute error = 2.187139358511558400000000000000E-14 " "
relative error = 2.5830727495649736000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1499999999998702 " "
y[1] (closed_form) = -0.8438749999999631 " "
y[1] (numeric) = -0.8438749999999408 " "
absolute error = 2.231548279496564600000000000000E-14 " "
relative error = 2.644406197003895000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1399999999998713 " "
y[1] (closed_form) = -0.8410199999999632 " "
y[1] (numeric) = -0.8410199999999407 " "
absolute error = 2.253752739989067800000000000000E-14 " "
relative error = 2.679784951593500700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1299999999998724 " "
y[1] (closed_form) = -0.8381549999999633 " "
y[1] (numeric) = -0.8381549999999405 " "
absolute error = 2.287059430727822500000000000000E-14 " "
relative error = 2.7286831561321260000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1199999999998735 " "
y[1] (closed_form) = -0.8352799999999636 " "
y[1] (numeric) = -0.8352799999999404 " "
absolute error = 2.320366121466577200000000000000E-14 " "
relative error = 2.7779500544328584000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1099999999998746 " "
y[1] (closed_form) = -0.8323949999999638 " "
y[1] (numeric) = -0.8323949999999402 " "
absolute error = 2.364775042451583400000000000000E-14 " "
relative error = 2.840928936925001000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0999999999998757 " "
y[1] (closed_form) = -0.8294999999999639 " "
y[1] (numeric) = -0.8294999999999402 " "
absolute error = 2.37587727269783500000000000000E-14 " "
relative error = 2.8642281768510410000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.089999999999877 " "
y[1] (closed_form) = -0.8265949999999642 " "
y[1] (numeric) = -0.8265949999999399 " "
absolute error = 2.431388423929092800000000000000E-14 " "
relative error = 2.941450678904660700000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.079999999999878 " "
y[1] (closed_form) = -0.8236799999999643 " "
y[1] (numeric) = -0.8236799999999399 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 2.965339275174158000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.069999999999879 " "
y[1] (closed_form) = -0.8207549999999646 " "
y[1] (numeric) = -0.8207549999999397 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 3.030014529500834600000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.05999999999988 " "
y[1] (closed_form) = -0.8178199999999647 " "
y[1] (numeric) = -0.8178199999999397 " "
absolute error = 2.498001805406602200000000000000E-14 " "
relative error = 3.054464069607872000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0499999999998813 " "
y[1] (closed_form) = -0.8148749999999649 " "
y[1] (numeric) = -0.8148749999999395 " "
absolute error = 2.542410726391608500000000000000E-14 " "
relative error = 3.1200008914149013000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0399999999998824 " "
y[1] (closed_form) = -0.8119199999999651 " "
y[1] (numeric) = -0.8119199999999395 " "
absolute error = 2.564615186884111600000000000000E-14 " "
relative error = 3.1587042896889120000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0299999999998835 " "
y[1] (closed_form) = -0.8089549999999653 " "
y[1] (numeric) = -0.8089549999999394 " "
absolute error = 2.597921877622866300000000000000E-14 " "
relative error = 3.2114541323348983000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0199999999998846 " "
y[1] (closed_form) = -0.8059799999999656 " "
y[1] (numeric) = -0.8059799999999393 " "
absolute error = 2.63122856836162100000000000000E-14 " "
relative error = 3.264632581902446300000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0099999999998857 " "
y[1] (closed_form) = -0.8029949999999658 " "
y[1] (numeric) = -0.8029949999999391 " "
absolute error = 2.675637489346627000000000000000E-14 " "
relative error = 3.3320724155776077000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9999999999998868 " "
y[1] (closed_form) = -0.7999999999999661 " "
y[1] (numeric) = -0.799999999999939 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 3.3861802251068710000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9899999999998879 " "
y[1] (closed_form) = -0.7969949999999663 " "
y[1] (numeric) = -0.7969949999999388 " "
absolute error = 2.742250870824136700000000000000E-14 " "
relative error = 3.440737860117382000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.979999999999889 " "
y[1] (closed_form) = -0.7939799999999665 " "
y[1] (numeric) = -0.7939799999999387 " "
absolute error = 2.775557561562891400000000000000E-14 " "
relative error = 3.4957524894367725000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.96999999999989 " "
y[1] (closed_form) = -0.7909549999999667 " "
y[1] (numeric) = -0.7909549999999386 " "
absolute error = 2.80886425230164600000000000000E-14 " "
relative error = 3.5512314256838440000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9599999999998912 " "
y[1] (closed_form) = -0.7879199999999669 " "
y[1] (numeric) = -0.7879199999999384 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 3.6071821289477610000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9499999999998923 " "
y[1] (closed_form) = -0.7848749999999671 " "
y[1] (numeric) = -0.7848749999999384 " "
absolute error = 2.875477633779155400000000000000E-14 " "
relative error = 3.6636122105803803000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9399999999998934 " "
y[1] (closed_form) = -0.7818199999999673 " "
y[1] (numeric) = -0.7818199999999382 " "
absolute error = 2.9087843245179100000000000000E-14 " "
relative error = 3.720529437105768400000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9299999999998945 " "
y[1] (closed_form) = -0.7787549999999676 " "
y[1] (numeric) = -0.7787549999999381 " "
absolute error = 2.94209101525666500000000000000E-14 " "
relative error = 3.7779417342511923000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9199999999998956 " "
y[1] (closed_form) = -0.7756799999999678 " "
y[1] (numeric) = -0.775679999999938 " "
absolute error = 2.98649993624167100000000000000E-14 " "
relative error = 3.850170091070796000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9099999999998967 " "
y[1] (closed_form) = -0.7725949999999681 " "
y[1] (numeric) = -0.772594999999938 " "
absolute error = 3.00870439673417400000000000000E-14 " "
relative error = 3.89428406439894000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8999999999998978 " "
y[1] (closed_form) = -0.7694999999999683 " "
y[1] (numeric) = -0.7694999999999378 " "
absolute error = 3.053113317719180500000000000000E-14 " "
relative error = 3.967658632513717500000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8899999999998989 " "
y[1] (closed_form) = -0.7663949999999685 " "
y[1] (numeric) = -0.7663949999999378 " "
absolute error = 3.075317778211683600000000000000E-14 " "
relative error = 4.012705952168021000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8799999999999 " "
y[1] (closed_form) = -0.7632799999999688 " "
y[1] (numeric) = -0.7632799999999376 " "
absolute error = 3.1197266991966900000000000000E-14 " "
relative error = 4.087263781570089000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.869999999999901 " "
y[1] (closed_form) = -0.760154999999969 " "
y[1] (numeric) = -0.7601549999999376 " "
absolute error = 3.14193115968919300000000000000E-14 " "
relative error = 4.1332769759974225000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8599999999999022 " "
y[1] (closed_form) = -0.7570199999999693 " "
y[1] (numeric) = -0.7570199999999374 " "
absolute error = 3.18634008067419900000000000000E-14 " "
relative error = 4.209056670463566000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8499999999999033 " "
y[1] (closed_form) = -0.7538749999999695 " "
y[1] (numeric) = -0.7538749999999375 " "
absolute error = 3.208544541166702400000000000000E-14 " "
relative error = 4.256069694799312000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8399999999999044 " "
y[1] (closed_form) = -0.7507199999999697 " "
y[1] (numeric) = -0.7507199999999372 " "
absolute error = 3.252953462151708700000000000000E-14 " "
relative error = 4.33311149583311960000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8299999999999055 " "
y[1] (closed_form) = -0.74755499999997 " "
y[1] (numeric) = -0.7475549999999372 " "
absolute error = 3.27515792264421200000000000000E-14 " "
relative error = 4.3811598111768946000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8199999999999066 " "
y[1] (closed_form) = -0.7443799999999703 " "
y[1] (numeric) = -0.744379999999937 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 4.474420422197805000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8099999999999077 " "
y[1] (closed_form) = -0.7411949999999705 " "
y[1] (numeric) = -0.741194999999937 " "
absolute error = 3.35287353436797300000000000000E-14 " "
relative error = 4.523605170526118000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7999999999999088 " "
y[1] (closed_form) = -0.7379999999999708 " "
y[1] (numeric) = -0.7379999999999368 " "
absolute error = 3.39728245535297900000000000000E-14 " "
relative error = 4.603363760641075000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7899999999999099 " "
y[1] (closed_form) = -0.734794999999971 " "
y[1] (numeric) = -0.7347949999999368 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 4.6536611107119910000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.779999999999911 " "
y[1] (closed_form) = -0.7315799999999714 " "
y[1] (numeric) = -0.7315799999999366 " "
absolute error = 3.4749980670767400000000000000E-14 " "
relative error = 4.749990523356128000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.769999999999912 " "
y[1] (closed_form) = -0.7283549999999717 " "
y[1] (numeric) = -0.7283549999999366 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 4.816751114244607000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7599999999999132 " "
y[1] (closed_form) = -0.7251199999999719 " "
y[1] (numeric) = -0.7251199999999365 " "
absolute error = 3.541611448554249400000000000000E-14 " "
relative error = 4.884172893527122000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7499999999999143 " "
y[1] (closed_form) = -0.7218749999999721 " "
y[1] (numeric) = -0.7218749999999364 " "
absolute error = 3.563815909046752500000000000000E-14 " "
relative error = 4.936887839372316000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7399999999999154 " "
y[1] (closed_form) = -0.7186199999999724 " "
y[1] (numeric) = -0.7186199999999363 " "
absolute error = 3.60822483003175900000000000000E-14 " "
relative error = 5.02104704855403000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7299999999999165 " "
y[1] (closed_form) = -0.7153549999999727 " "
y[1] (numeric) = -0.7153549999999362 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 5.090523615226918000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7199999999999176 " "
y[1] (closed_form) = -0.712079999999973 " "
y[1] (numeric) = -0.7120799999999362 " "
absolute error = 3.67483821150926800000000000000E-14 " "
relative error = 5.160709767876374000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7099999999999187 " "
y[1] (closed_form) = -0.7087949999999732 " "
y[1] (numeric) = -0.7087949999999361 " "
absolute error = 3.70814490224802300000000000000E-14 " "
relative error = 5.231618313120385000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6999999999999198 " "
y[1] (closed_form) = -0.7054999999999736 " "
y[1] (numeric) = -0.7054999999999361 " "
absolute error = 3.75255382323302900000000000000E-14 " "
relative error = 5.318999040727385000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.689999999999921 " "
y[1] (closed_form) = -0.7021949999999738 " "
y[1] (numeric) = -0.702194999999936 " "
absolute error = 3.78586051397178400000000000000E-14 " "
relative error = 5.391466065654020000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.679999999999922 " "
y[1] (closed_form) = -0.6988799999999741 " "
y[1] (numeric) = -0.698879999999936 " "
absolute error = 3.80806497446428700000000000000E-14 " "
relative error = 5.448810918132481000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.669999999999923 " "
y[1] (closed_form) = -0.6955549999999744 " "
y[1] (numeric) = -0.6955549999999359 " "
absolute error = 3.85247389544929300000000000000E-14 " "
relative error = 5.538704912551035000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6599999999999242 " "
y[1] (closed_form) = -0.6922199999999746 " "
y[1] (numeric) = -0.6922199999999358 " "
absolute error = 3.88578058618804800000000000000E-14 " "
relative error = 5.6135052240446550000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6499999999999253 " "
y[1] (closed_form) = -0.688874999999975 " "
y[1] (numeric) = -0.6888749999999356 " "
absolute error = 3.94129173741930570000000000000E-14 " "
relative error = 5.7213452911187780000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6399999999999264 " "
y[1] (closed_form) = -0.6855199999999753 " "
y[1] (numeric) = -0.6855199999999356 " "
absolute error = 3.96349619791180900000000000000E-14 " "
relative error = 5.781736780709464000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6299999999999275 " "
y[1] (closed_form) = -0.6821549999999755 " "
y[1] (numeric) = -0.6821549999999355 " "
absolute error = 4.00790511889681500000000000000E-14 " "
relative error = 5.87535841399236000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6199999999999286 " "
y[1] (closed_form) = -0.6787799999999758 " "
y[1] (numeric) = -0.6787799999999354 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 5.9536400743034770000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6099999999999297 " "
y[1] (closed_form) = -0.6753949999999762 " "
y[1] (numeric) = -0.6753949999999352 " "
absolute error = 4.096722960866827600000000000000E-14 " "
relative error = 6.065669661260406000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5999999999999308 " "
y[1] (closed_form) = -0.6719999999999765 " "
y[1] (numeric) = -0.6719999999999353 " "
absolute error = 4.11892742135933100000000000000E-14 " "
relative error = 6.129356281784932000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.589999999999932 " "
y[1] (closed_form) = -0.6685949999999767 " "
y[1] (numeric) = -0.6685949999999351 " "
absolute error = 4.16333634234433700000000000000E-14 " "
relative error = 6.226992936448047000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.579999999999933 " "
y[1] (closed_form) = -0.6651799999999771 " "
y[1] (numeric) = -0.6651799999999352 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 6.3090336947641790000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5699999999999341 " "
y[1] (closed_form) = -0.6617549999999774 " "
y[1] (numeric) = -0.661754999999935 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 6.408794726247996000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5599999999999352 " "
y[1] (closed_form) = -0.6583199999999777 " "
y[1] (numeric) = -0.6583199999999351 " "
absolute error = 4.26325641456060100000000000000E-14 " "
relative error = 6.4759636872049230000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5499999999999363 " "
y[1] (closed_form) = -0.654874999999978 " "
y[1] (numeric) = -0.6548749999999349 " "
absolute error = 4.307665335545607400000000000000E-14 " "
relative error = 6.5778436122095850000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5399999999999374 " "
y[1] (closed_form) = -0.6514199999999783 " "
y[1] (numeric) = -0.6514199999999349 " "
absolute error = 4.34097202628436200000000000000E-14 " "
relative error = 6.663860529741957000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5299999999999385 " "
y[1] (closed_form) = -0.6479549999999786 " "
y[1] (numeric) = -0.6479549999999349 " "
absolute error = 4.37427871702311700000000000000E-14 " "
relative error = 6.750898931288841000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5199999999999396 " "
y[1] (closed_form) = -0.644479999999979 " "
y[1] (numeric) = -0.6444799999999349 " "
absolute error = 4.407585407761871500000000000000E-14 " "
relative error = 6.838979344218618000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5099999999999407 " "
y[1] (closed_form) = -0.6409949999999793 " "
y[1] (numeric) = -0.6409949999999347 " "
absolute error = 4.46309655899312930000000000000E-14 " "
relative error = 6.962763452122518000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4999999999999418 " "
y[1] (closed_form) = -0.6374999999999796 " "
y[1] (numeric) = -0.6374999999999347 " "
absolute error = 4.49640324973188400000000000000E-14 " "
relative error = 7.053181568207102000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.489999999999943 " "
y[1] (closed_form) = -0.63399499999998 " "
y[1] (numeric) = -0.6339949999999346 " "
absolute error = 4.5408121707168900000000000000E-14 " "
relative error = 7.162220791515759000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.479999999999944 " "
y[1] (closed_form) = -0.6304799999999803 " "
y[1] (numeric) = -0.6304799999999345 " "
absolute error = 4.57411886145564500000000000000E-14 " "
relative error = 7.254978526607962000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4699999999999451 " "
y[1] (closed_form) = -0.6269549999999806 " "
y[1] (numeric) = -0.6269549999999344 " "
absolute error = 4.61852778244065100000000000000E-14 " "
relative error = 7.366601721719731000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4599999999999462 " "
y[1] (closed_form) = -0.623419999999981 " "
y[1] (numeric) = -0.6234199999999344 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 7.47960717241314000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4499999999999473 " "
y[1] (closed_form) = -0.6198749999999813 " "
y[1] (numeric) = -0.6198749999999343 " "
absolute error = 4.69624339416441200000000000000E-14 " "
relative error = 7.576113561870625000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4399999999999484 " "
y[1] (closed_form) = -0.6163199999999817 " "
y[1] (numeric) = -0.6163199999999343 " "
absolute error = 4.740652315149418400000000000000E-14 " "
relative error = 7.691868372192302000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4299999999999495 " "
y[1] (closed_form) = -0.612754999999982 " "
y[1] (numeric) = -0.6127549999999342 " "
absolute error = 4.77395900588817300000000000000E-14 " "
relative error = 7.79097519545057000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4199999999999506 " "
y[1] (closed_form) = -0.6091799999999823 " "
y[1] (numeric) = -0.6091799999999341 " "
absolute error = 4.818367926873179400000000000000E-14 " "
relative error = 7.909596386738434000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4099999999999517 " "
y[1] (closed_form) = -0.6055949999999827 " "
y[1] (numeric) = -0.6055949999999342 " "
absolute error = 4.85167461761193400000000000000E-14 " "
relative error = 8.01141789085457000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3999999999999528 " "
y[1] (closed_form) = -0.601999999999983 " "
y[1] (numeric) = -0.601999999999934 " "
absolute error = 4.896083538596940300000000000000E-14 " "
relative error = 8.13302913388218900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.389999999999954 " "
y[1] (closed_form) = -0.5983949999999834 " "
y[1] (numeric) = -0.5983949999999341 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 8.237686192792105000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.379999999999955 " "
y[1] (closed_form) = -0.5947799999999837 " "
y[1] (numeric) = -0.5947799999999339 " "
absolute error = 4.97379915032070130000000000000E-14 " "
relative error = 8.362418289654726000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3699999999999561 " "
y[1] (closed_form) = -0.5911549999999841 " "
y[1] (numeric) = -0.591154999999934 " "
absolute error = 5.00710584105945600000000000000E-14 " "
relative error = 8.470038891762043000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3599999999999572 " "
y[1] (closed_form) = -0.5875199999999844 " "
y[1] (numeric) = -0.5875199999999339 " "
absolute error = 5.05151476204446200000000000000E-14 " "
relative error = 8.598030300321005000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3499999999999583 " "
y[1] (closed_form) = -0.5838749999999848 " "
y[1] (numeric) = -0.583874999999934 " "
absolute error = 5.08482145278321700000000000000E-14 " "
relative error = 8.70875007969745000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3399999999999594 " "
y[1] (closed_form) = -0.5802199999999852 " "
y[1] (numeric) = -0.5802199999999338 " "
absolute error = 5.14033260401447500000000000000E-14 " "
relative error = 8.859282003403202000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3299999999999605 " "
y[1] (closed_form) = -0.5765549999999855 " "
y[1] (numeric) = -0.5765549999999339 " "
absolute error = 5.16253706450697800000000000000E-14 " "
relative error = 8.95411030085092900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3199999999999616 " "
y[1] (closed_form) = -0.5728799999999858 " "
y[1] (numeric) = -0.5728799999999337 " "
absolute error = 5.21804821573823600000000000000E-14 " "
relative error = 9.108448917292217000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3099999999999627 " "
y[1] (closed_form) = -0.5691949999999862 " "
y[1] (numeric) = -0.5691949999999337 " "
absolute error = 5.251354906476990000000000000000E-14 " "
relative error = 9.225932951760148000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2999999999999639 " "
y[1] (closed_form) = -0.5654999999999866 " "
y[1] (numeric) = -0.5654999999999336 " "
absolute error = 5.29576382746199700000000000000E-14 " "
relative error = 9.364745937156715000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.289999999999965 " "
y[1] (closed_form) = -0.5617949999999869 " "
y[1] (numeric) = -0.5617949999999337 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 9.485792002778373000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.279999999999966 " "
y[1] (closed_form) = -0.5580799999999874 " "
y[1] (numeric) = -0.5580799999999335 " "
absolute error = 5.38458166943200900000000000000E-14 " "
relative error = 9.64840465422901900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2699999999999672 " "
y[1] (closed_form) = -0.5543549999999877 " "
y[1] (numeric) = -0.5543549999999335 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 9.773319191079514000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2599999999999683 " "
y[1] (closed_form) = -0.5506199999999881 " "
y[1] (numeric) = -0.5506199999999335 " "
absolute error = 5.4622972811557700000000000000E-14 " "
relative error = 9.920266755940372000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2499999999999694 " "
y[1] (closed_form) = -0.5468749999999885 " "
y[1] (numeric) = -0.5468749999999335 " "
absolute error = 5.49560397189452500000000000000E-14 " "
relative error = 1.004910440575020000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2399999999999705 " "
y[1] (closed_form) = -0.543119999999989 " "
y[1] (numeric) = -0.5431199999999334 " "
absolute error = 5.55111512312578300000000000000E-14 " "
relative error = 1.02207893709049500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2299999999999716 " "
y[1] (closed_form) = -0.5393549999999893 " "
y[1] (numeric) = -0.5393549999999334 " "
absolute error = 5.584421813864537000000000000000E-14 " "
relative error = 1.035388902274874400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2199999999999727 " "
y[1] (closed_form) = -0.5355799999999896 " "
y[1] (numeric) = -0.5355799999999334 " "
absolute error = 5.61772850460329200000000000000E-14 " "
relative error = 1.048905579857985900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2099999999999738 " "
y[1] (closed_form) = -0.53179499999999 " "
y[1] (numeric) = -0.5317949999999334 " "
absolute error = 5.662137425588298000000000000000E-14 " "
relative error = 1.064721824309819400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1999999999999749 " "
y[1] (closed_form) = -0.5279999999999905 " "
y[1] (numeric) = -0.5279999999999334 " "
absolute error = 5.70654634657330500000000000000E-14 " "
relative error = 1.080785292911630200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.189999999999976 " "
y[1] (closed_form) = -0.5241949999999909 " "
y[1] (numeric) = -0.5241949999999334 " "
absolute error = 5.75095526755831100000000000000E-14 " "
relative error = 1.097102274450998400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.179999999999977 " "
y[1] (closed_form) = -0.5203799999999912 " "
y[1] (numeric) = -0.5203799999999335 " "
absolute error = 5.77315972805081400000000000000E-14 " "
relative error = 1.109412300251914300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1699999999999782 " "
y[1] (closed_form) = -0.5165549999999917 " "
y[1] (numeric) = -0.5165549999999334 " "
absolute error = 5.82867087928207200000000000000E-14 " "
relative error = 1.128373721923544600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1599999999999793 " "
y[1] (closed_form) = -0.5127199999999921 " "
y[1] (numeric) = -0.5127199999999333 " "
absolute error = 5.87307980026707800000000000000E-14 " "
relative error = 1.145475074166634600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1499999999999804 " "
y[1] (closed_form) = -0.5088749999999924 " "
y[1] (numeric) = -0.5088749999999332 " "
absolute error = 5.91748872125208400000000000000E-14 " "
relative error = 1.162857031933612900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1399999999999815 " "
y[1] (closed_form) = -0.5050199999999928 " "
y[1] (numeric) = -0.5050199999999333 " "
absolute error = 5.95079541199083900000000000000E-14 " "
relative error = 1.178328662625425700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1299999999999826 " "
y[1] (closed_form) = -0.5011549999999932 " "
y[1] (numeric) = -0.5011549999999332 " "
absolute error = 6.00630656322209700000000000000E-14 " "
relative error = 1.198492794289626500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1199999999999837 " "
y[1] (closed_form) = -0.49727999999999367 " "
y[1] (numeric) = -0.497279999999933 " "
absolute error = 6.0673688295764800000000000000E-14 " "
relative error = 1.220111170683831600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1099999999999848 " "
y[1] (closed_form) = -0.4933949999999941 " "
y[1] (numeric) = -0.4933949999999331 " "
absolute error = 6.10067552031523500000000000000E-14 " "
relative error = 1.23646885767292090000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0999999999999859 " "
y[1] (closed_form) = -0.4894999999999945 " "
y[1] (numeric) = -0.48949999999993293 " "
absolute error = 6.15618667154649300000000000000E-14 " "
relative error = 1.257647941071820500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.089999999999987 " "
y[1] (closed_form) = -0.4855949999999949 " "
y[1] (numeric) = -0.48559499999993305 " "
absolute error = 6.18394224716212200000000000000E-14 " "
relative error = 1.273477331348590300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.079999999999988 " "
y[1] (closed_form) = -0.48167999999999533 " "
y[1] (numeric) = -0.48167999999993294 " "
absolute error = 6.2394533983933800000000000000E-14 " "
relative error = 1.295352391295764800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0699999999999892 " "
y[1] (closed_form) = -0.47775499999999577 " "
y[1] (numeric) = -0.47775499999993304 " "
absolute error = 6.27276008913213400000000000000E-14 " "
relative error = 1.312965869353997500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0599999999999903 " "
y[1] (closed_form) = -0.4738199999999962 " "
y[1] (numeric) = -0.47381999999993296 " "
absolute error = 6.32272012524026600000000000000E-14 " "
relative error = 1.334413938888252500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0499999999999914 " "
y[1] (closed_form) = -0.4698749999999966 " "
y[1] (numeric) = -0.46987499999993304 " "
absolute error = 6.35602681597902100000000000000E-14 " "
relative error = 1.352705893265031500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0399999999999925 " "
y[1] (closed_form) = -0.465919999999997 " "
y[1] (numeric) = -0.46591999999993294 " "
absolute error = 6.40598685208715300000000000000E-14 " "
relative error = 1.374911326426681600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0299999999999936 " "
y[1] (closed_form) = -0.46195499999999745 " "
y[1] (numeric) = -0.461954999999933 " "
absolute error = 6.44484465794903400000000000000E-14 " "
relative error = 1.395123909893619400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0199999999999947 " "
y[1] (closed_form) = -0.4579799999999979 " "
y[1] (numeric) = -0.45797999999993294 " "
absolute error = 6.49480469405716600000000000000E-14 " "
relative error = 1.418141555102230600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0099999999999958 " "
y[1] (closed_form) = -0.4539949999999983 " "
y[1] (numeric) = -0.453994999999933 " "
absolute error = 6.53366249991904600000000000000E-14 " "
relative error = 1.439148558887007600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9999999999999968 " "
y[1] (closed_form) = -0.44999999999999873 " "
y[1] (numeric) = -0.44999999999993295 " "
absolute error = 6.57807142090405300000000000000E-14 " "
relative error = 1.461793649089793400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9899999999999968 " "
y[1] (closed_form) = -0.4459949999999987 " "
y[1] (numeric) = -0.445994999999933 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.473675782414813300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9799999999999968 " "
y[1] (closed_form) = -0.4419799999999987 " "
y[1] (numeric) = -0.441979999999933 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.487062832205291500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9699999999999968 " "
y[1] (closed_form) = -0.4379549999999987 " "
y[1] (numeric) = -0.437954999999933 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.50072959682637400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9599999999999967 " "
y[1] (closed_form) = -0.4339199999999987 " "
y[1] (numeric) = -0.43391999999993297 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.514684804982703300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9499999999999967 " "
y[1] (closed_form) = -0.4298749999999987 " "
y[1] (numeric) = -0.42987499999993295 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.528937552958638300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9399999999999967 " "
y[1] (closed_form) = -0.42581999999999864 " "
y[1] (numeric) = -0.425819999999933 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.542193694673294200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9299999999999967 " "
y[1] (closed_form) = -0.42175499999999866 " "
y[1] (numeric) = -0.42175499999993293 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.558374009977581400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9199999999999967 " "
y[1] (closed_form) = -0.41767999999999866 " "
y[1] (numeric) = -0.417679999999933 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.57224889644173100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.9099999999999967 " "
y[1] (closed_form) = -0.41359499999999866 " "
y[1] (numeric) = -0.41359499999993293 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.589119865032446700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8999999999999967 " "
y[1] (closed_form) = -0.40949999999999864 " "
y[1] (numeric) = -0.409499999999933 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.603655480014120300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8899999999999967 " "
y[1] (closed_form) = -0.4053949999999986 " "
y[1] (numeric) = -0.4053949999999329 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.621263287850355500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8799999999999967 " "
y[1] (closed_form) = -0.40127999999999864 " "
y[1] (numeric) = -0.40127999999993297 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.636505480128046300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8699999999999967 " "
y[1] (closed_form) = -0.3971549999999986 " "
y[1] (numeric) = -0.39715499999993287 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.654900556654442200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8599999999999967 " "
y[1] (closed_form) = -0.3930199999999986 " "
y[1] (numeric) = -0.393019999999933 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 1.669487068224186600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8499999999999966 " "
y[1] (closed_form) = -0.3888749999999986 " "
y[1] (numeric) = -0.38887499999993286 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.690137012094104800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8399999999999966 " "
y[1] (closed_form) = -0.3847199999999986 " "
y[1] (numeric) = -0.38471999999993295 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.706947699796689500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8299999999999966 " "
y[1] (closed_form) = -0.3805549999999986 " "
y[1] (numeric) = -0.3805549999999328 " "
absolute error = 6.57807142090405300000000000000E-14 " "
relative error = 1.728546838408134600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8199999999999966 " "
y[1] (closed_form) = -0.3763799999999986 " "
y[1] (numeric) = -0.37637999999993293 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.74477102679680780000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8099999999999966 " "
y[1] (closed_form) = -0.37219499999999855 " "
y[1] (numeric) = -0.37219499999993283 " "
absolute error = 6.57252030578092700000000000000E-14 " "
relative error = 1.765880870452572500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7999999999999966 " "
y[1] (closed_form) = -0.36799999999999855 " "
y[1] (numeric) = -0.36799999999993294 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 1.782994042264864400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7899999999999966 " "
y[1] (closed_form) = -0.36379499999999854 " "
y[1] (numeric) = -0.36379499999993287 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.805129039887252000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7799999999999966 " "
y[1] (closed_form) = -0.35957999999999857 " "
y[1] (numeric) = -0.35957999999993295 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 1.824745001261110500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7699999999999966 " "
y[1] (closed_form) = -0.35535499999999853 " "
y[1] (numeric) = -0.35535499999993286 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.848002473767873800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7599999999999966 " "
y[1] (closed_form) = -0.35111999999999854 " "
y[1] (numeric) = -0.35111999999993293 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 1.868711003512959200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7499999999999966 " "
y[1] (closed_form) = -0.34687499999999855 " "
y[1] (numeric) = -0.3468749999999329 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 1.893180307216671400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7399999999999965 " "
y[1] (closed_form) = -0.34261999999999854 " "
y[1] (numeric) = -0.3426199999999329 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 1.915071529839093600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7299999999999965 " "
y[1] (closed_form) = -0.3383549999999985 " "
y[1] (numeric) = -0.3383549999999329 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 1.93921120584436580000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7199999999999965 " "
y[1] (closed_form) = -0.3340799999999985 " "
y[1] (numeric) = -0.33407999999993293 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 1.9623643918856498000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7099999999999965 " "
y[1] (closed_form) = -0.3297949999999985 " "
y[1] (numeric) = -0.3297949999999329 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 1.989544436857655600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6999999999999965 " "
y[1] (closed_form) = -0.3254999999999985 " "
y[1] (numeric) = -0.3254999999999329 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.01579664378946400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6899999999999965 " "
y[1] (closed_form) = -0.3211949999999985 " "
y[1] (numeric) = -0.3211949999999329 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.042814513157024700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6799999999999965 " "
y[1] (closed_form) = -0.3168799999999985 " "
y[1] (numeric) = -0.3168799999999329 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.070631808739808700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6699999999999965 " "
y[1] (closed_form) = -0.3125549999999985 " "
y[1] (numeric) = -0.3125549999999329 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 2.097508265876911700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6599999999999965 " "
y[1] (closed_form) = -0.3082199999999985 " "
y[1] (numeric) = -0.3082199999999329 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.128809965458019500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6499999999999965 " "
y[1] (closed_form) = -0.30387499999999845 " "
y[1] (numeric) = -0.3038749999999329 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 2.157422282323844500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6399999999999965 " "
y[1] (closed_form) = -0.29951999999999845 " "
y[1] (numeric) = -0.29951999999993284 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.190644389534825700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6299999999999965 " "
y[1] (closed_form) = -0.29515499999999845 " "
y[1] (numeric) = -0.2951549999999329 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 2.221160732635931700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6199999999999964 " "
y[1] (closed_form) = -0.29077999999999843 " "
y[1] (numeric) = -0.2907799999999328 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.25648878036134200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6099999999999964 " "
y[1] (closed_form) = -0.28639499999999846 " "
y[1] (numeric) = -0.2863949999999329 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 2.28909965621312700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5999999999999964 " "
y[1] (closed_form) = -0.2819999999999984 " "
y[1] (numeric) = -0.2819999999999328 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.326743998416564400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5899999999999964 " "
y[1] (closed_form) = -0.2775949999999984 " "
y[1] (numeric) = -0.27759499999993287 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 2.36166608203014720000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5799999999999964 " "
y[1] (closed_form) = -0.2731799999999984 " "
y[1] (numeric) = -0.27317999999993275 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 2.403898232175795700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5699999999999964 " "
y[1] (closed_form) = -0.2687549999999984 " "
y[1] (numeric) = -0.26875499999993285 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 2.43934697416293200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5599999999999964 " "
y[1] (closed_form) = -0.2643199999999984 " "
y[1] (numeric) = -0.2643199999999327 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 2.48447684271256100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5499999999999964 " "
y[1] (closed_form) = -0.2598749999999984 " "
y[1] (numeric) = -0.25987499999993285 " "
absolute error = 6.5558669604115490000000000000E-14 " "
relative error = 2.522700129066508500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5399999999999964 " "
y[1] (closed_form) = -0.25541999999999837 " "
y[1] (numeric) = -0.25541999999993276 " "
absolute error = 6.56141807553467500000000000000E-14 " "
relative error = 2.568874041004900500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5299999999999964 " "
y[1] (closed_form) = -0.2509549999999984 " "
y[1] (numeric) = -0.25095499999993287 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.61015554393754500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5199999999999964 " "
y[1] (closed_form) = -0.24647999999999837 " "
y[1] (numeric) = -0.24647999999993286 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.65754456559902100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5099999999999963 " "
y[1] (closed_form) = -0.24199499999999835 " "
y[1] (numeric) = -0.24199499999993285 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.706798010408673000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.49999999999999634 " "
y[1] (closed_form) = -0.23749999999999835 " "
y[1] (numeric) = -0.23749999999993285 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.758027724331987000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4899999999999963 " "
y[1] (closed_form) = -0.23299499999999834 " "
y[1] (numeric) = -0.23299499999993284 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.811354683700711000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4799999999999963 " "
y[1] (closed_form) = -0.22847999999999832 " "
y[1] (numeric) = -0.22847999999993282 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.866909946292223000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4699999999999963 " "
y[1] (closed_form) = -0.22395499999999832 " "
y[1] (numeric) = -0.22395499999993282 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.924835723823300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4599999999999963 " "
y[1] (closed_form) = -0.2194199999999983 " "
y[1] (numeric) = -0.2194199999999328 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 2.9852865943343700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4499999999999963 " "
y[1] (closed_form) = -0.21487499999999832 " "
y[1] (numeric) = -0.21487499999993281 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 3.04843087622500300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4399999999999963 " "
y[1] (closed_form) = -0.2103199999999983 " "
y[1] (numeric) = -0.2103199999999328 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 3.11445218965789100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4299999999999963 " "
y[1] (closed_form) = -0.2057549999999983 " "
y[1] (numeric) = -0.2057549999999328 " "
absolute error = 6.55031584528842400000000000000E-14 " "
relative error = 3.1835512358331400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.41999999999999627 " "
y[1] (closed_form) = -0.20117999999999828 " "
y[1] (numeric) = -0.2011799999999328 " "
absolute error = 6.54754028772686100000000000000E-14 " "
relative error = 3.25456819153341100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.40999999999999626 " "
y[1] (closed_form) = -0.19659499999999827 " "
y[1] (numeric) = -0.1965949999999328 " "
absolute error = 6.54754028772686100000000000000E-14 " "
relative error = 3.33047141978530360000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.39999999999999625 " "
y[1] (closed_form) = -0.19199999999999828 " "
y[1] (numeric) = -0.1919999999999328 " "
absolute error = 6.54754028772686100000000000000E-14 " "
relative error = 3.41017723319110400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.38999999999999624 " "
y[1] (closed_form) = -0.18739499999999826 " "
y[1] (numeric) = -0.1873949999999328 " "
absolute error = 6.54476473016529800000000000000E-14 " "
relative error = 3.49249698773465570000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.37999999999999623 " "
y[1] (closed_form) = -0.18277999999999825 " "
y[1] (numeric) = -0.1827799999999328 " "
absolute error = 6.54476473016529800000000000000E-14 " "
relative error = 3.58067881068243830000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3699999999999962 " "
y[1] (closed_form) = -0.17815499999999826 " "
y[1] (numeric) = -0.1781549999999328 " "
absolute error = 6.54476473016529800000000000000E-14 " "
relative error = 3.67363516609994700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3599999999999962 " "
y[1] (closed_form) = -0.17351999999999823 " "
y[1] (numeric) = -0.1735199999999328 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 3.77016434566839640000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3499999999999962 " "
y[1] (closed_form) = -0.16887499999999822 " "
y[1] (numeric) = -0.1688749999999328 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 3.873864795028159600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3399999999999962 " "
y[1] (closed_form) = -0.16421999999999823 " "
y[1] (numeric) = -0.1642199999999328 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 3.98367383546693770000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3299999999999962 " "
y[1] (closed_form) = -0.15955499999999823 " "
y[1] (numeric) = -0.1595549999999328 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 4.10014676607051300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3199999999999962 " "
y[1] (closed_form) = -0.1548799999999982 " "
y[1] (numeric) = -0.1548799999999328 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 4.22390829842704700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.30999999999999617 " "
y[1] (closed_form) = -0.1501949999999982 " "
y[1] (numeric) = -0.1501949999999328 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 4.35381578284380400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.29999999999999616 " "
y[1] (closed_form) = -0.1454999999999982 " "
y[1] (numeric) = -0.1454999999999328 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 4.49430489006340500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.28999999999999615 " "
y[1] (closed_form) = -0.1407949999999982 " "
y[1] (numeric) = -0.14079499999993278 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 4.646464130547120500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.27999999999999614 " "
y[1] (closed_form) = -0.13607999999999817 " "
y[1] (numeric) = -0.13607999999993278 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 4.80541858836144900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.26999999999999613 " "
y[1] (closed_form) = -0.13135499999999817 " "
y[1] (numeric) = -0.13135499999993278 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 4.978275372115460500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2599999999999961 " "
y[1] (closed_form) = -0.12661999999999815 " "
y[1] (numeric) = -0.12661999999993276 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 5.16443975283704600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.24999999999999611 " "
y[1] (closed_form) = -0.12187499999999815 " "
y[1] (numeric) = -0.12187499999993273 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 5.367785987777505000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2399999999999961 " "
y[1] (closed_form) = -0.11711999999999814 " "
y[1] (numeric) = -0.11711999999993274 " "
absolute error = 6.54060139382295300000000000000E-14 " "
relative error = 5.58452987860575300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2299999999999961 " "
y[1] (closed_form) = -0.11235499999999814 " "
y[1] (numeric) = -0.11235499999993273 " "
absolute error = 6.54060139382295300000000000000E-14 " "
relative error = 5.8213710060282700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2199999999999961 " "
y[1] (closed_form) = -0.10757999999999814 " "
y[1] (numeric) = -0.10757999999993272 " "
absolute error = 6.54198917260373500000000000000E-14 " "
relative error = 6.08104589385001700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.20999999999999608 " "
y[1] (closed_form) = -0.10279499999999812 " "
y[1] (numeric) = -0.10279499999993272 " "
absolute error = 6.54060139382295300000000000000E-14 " "
relative error = 6.36276219059591600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.19999999999999607 " "
y[1] (closed_form) = -9.79999999999981100E-2 " "
y[1] (numeric) = -9.79999999999327100E-2 " "
absolute error = 6.54060139382295300000000000000E-14 " "
relative error = 6.67408305492150900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.18999999999999606 " "
y[1] (closed_form) = -9.3194999999998100E-2 " "
y[1] (numeric) = -9.3194999999932700E-2 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 7.01670005369634200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.17999999999999605 " "
y[1] (closed_form) = -8.8379999999998100E-2 " "
y[1] (numeric) = -8.8379999999932710E-2 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 7.39897444562379800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.16999999999999604 " "
y[1] (closed_form) = -8.35549999999980900E-2 " "
y[1] (numeric) = -8.3554999999932700E-2 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 7.82623854352500900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.15999999999999603 " "
y[1] (closed_form) = -7.87199999999980800E-2 " "
y[1] (numeric) = -7.8719999999932710E-2 " "
absolute error = 6.5378258362613910000000000000E-14 " "
relative error = 8.30516493427534300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.14999999999999603 " "
y[1] (closed_form) = -7.38749999999980700E-2 " "
y[1] (numeric) = -7.3874999999932700E-2 " "
absolute error = 6.53643805748060900000000000000E-14 " "
relative error = 8.84797029777432100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.13999999999999602 " "
y[1] (closed_form) = -6.90199999999980700E-2 " "
y[1] (numeric) = -6.90199999999326900E-2 " "
absolute error = 6.5378258362613910000000000000E-14 " "
relative error = 9.47236429478640100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.129999999999996 " "
y[1] (closed_form) = -6.41549999999980600E-2 " "
y[1] (numeric) = -6.4154999999932690E-2 " "
absolute error = 6.53643805748060900000000000000E-14 " "
relative error = 1.01885091691696780000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.119999999999996 " "
y[1] (closed_form) = -5.92799999999980500E-2 " "
y[1] (numeric) = -5.92799999999327000E-2 " "
absolute error = 6.53574416809021800000000000000E-14 " "
relative error = 1.10252094603414870000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.10999999999999599 " "
y[1] (closed_form) = -5.43949999999980400E-2 " "
y[1] (numeric) = -5.439499999993268000E-2 " "
absolute error = 6.53574416809021800000000000000E-14 " "
relative error = 1.20153399542061850000000000E-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) = -4.94999999999980340E-2 " "
y[1] (numeric) = -4.94999999999326800E-2 " "
absolute error = 6.53505027869982800000000000000E-14 " "
relative error = 1.3202121775151690000000000E-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) = -4.459499999999802500E-2 " "
y[1] (numeric) = -4.459499999993267000E-2 " "
absolute error = 6.53505027869982800000000000000E-14 " "
relative error = 1.46542219502188960000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -7.99999999999959600E-2 " "
y[1] (closed_form) = -3.967999999999801700E-2 " "
y[1] (numeric) = -3.96799999999326700E-2 " "
absolute error = 6.53435638930943700000000000000E-14 " "
relative error = 1.64676320295104930000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.99999999999959500E-2 " "
y[1] (closed_form) = -3.475499999999800E-2 " "
y[1] (numeric) = -3.475499999993267000E-2 " "
absolute error = 6.53366249991904600000000000000E-14 " "
relative error = 1.8799201553501430000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -5.999999999999595000E-2 " "
y[1] (closed_form) = -2.981999999999800000E-2 " "
y[1] (numeric) = -2.98199999999326600E-2 " "
absolute error = 6.53366249991904600000000000000E-14 " "
relative error = 2.19103370218627970000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.99999999999959370E-2 " "
y[1] (closed_form) = -2.48749999999979880E-2 " "
y[1] (numeric) = -2.487499999993265700E-2 " "
absolute error = 6.53331555522385100000000000000E-14 " "
relative error = 2.6264585146630670000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.99999999999959300E-2 " "
y[1] (closed_form) = -1.99199999999979800E-2 " "
y[1] (numeric) = -1.99199999999326530E-2 " "
absolute error = 6.53296861052865600000000000000E-14 " "
relative error = 3.27960271612917600000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.99999999999959200E-2 " "
y[1] (closed_form) = -1.495499999999797300E-2 " "
y[1] (numeric) = -1.495499999993264400E-2 " "
absolute error = 6.5326216658334600000000000000E-14 " "
relative error = 4.36818566755890760000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.99999999999959100E-2 " "
y[1] (closed_form) = -9.979999999997963000E-3 " "
y[1] (numeric) = -9.97999999993264000E-3 " "
absolute error = 6.53227472113826500000000000000E-14 " "
relative error = 6.5453654520436850000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = -9.999999999995901000E-3 " "
y[1] (closed_form) = -4.994999999997954400E-3 " "
y[1] (numeric) = -4.994999999932635500E-3 " "
absolute error = 6.5318410402692710000000000000E-14 " "
relative error = 1.3076758839383276000000000E-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) = 2.0504431486045868000000000000000E-15 " "
y[1] (numeric) = 6.73683114502110500000000000000E-14 " "
absolute error = 6.53178683016064600000000000000E-14 " "
relative error = 3185.548857868019 "%"
Desired digits = 8
Estimated correct digits = 0
Correct digits = 0
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.000000000000410300E-2 " "
y[1] (closed_form) = 5.0050000000020560000E-3 " "
y[1] (numeric) = 5.005000000067373000E-3 " "
absolute error = 6.53175430409547200000000000000E-14 " "
relative error = 1.3050458150035543000000000E-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) = 1.002000000000206300E-2 " "
y[1] (numeric) = 1.002000000006737800E-2 " "
absolute error = 6.53140735940027600000000000000E-14 " "
relative error = 6.5183706181626070000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.00000000000041230E-2 " "
y[1] (closed_form) = 1.504500000000207300E-2 " "
y[1] (numeric) = 1.504500000006738200E-2 " "
absolute error = 6.53088694235748300000000000000E-14 " "
relative error = 4.34090192247031160000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.00000000000041300E-2 " "
y[1] (closed_form) = 2.008000000000208200E-2 " "
y[1] (numeric) = 2.008000000006738300E-2 " "
absolute error = 6.53019305296709300000000000000E-14 " "
relative error = 3.25208817378805500000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.00000000000041400E-2 " "
y[1] (closed_form) = 2.51250000000020900E-2 " "
y[1] (numeric) = 2.51250000000673900E-2 " "
absolute error = 6.52984610827189700000000000000E-14 " "
relative error = 2.5989437246851160000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.00000000000041500E-2 " "
y[1] (closed_form) = 3.018000000000210000E-2 " "
y[1] (numeric) = 3.018000000006739000E-2 " "
absolute error = 6.52949916357670200000000000000E-14 " "
relative error = 2.16351860953487350000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.00000000000041600E-2 " "
y[1] (closed_form) = 3.52450000000021100E-2 " "
y[1] (numeric) = 3.524500000006739500E-2 " "
absolute error = 6.52880527418631100000000000000E-14 " "
relative error = 1.85240609283186860000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.00000000000041700E-2 " "
y[1] (closed_form) = 4.03200000000021200E-2 " "
y[1] (numeric) = 4.0320000000067400E-2 " "
absolute error = 6.5281113847959200000000000000E-14 " "
relative error = 1.6190752442449352000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 11
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.00000000000041800E-2 " "
y[1] (closed_form) = 4.540500000000212700E-2 " "
y[1] (numeric) = 4.540500000006741000E-2 " "
absolute error = 6.5281113847959200000000000000E-14 " "
relative error = 1.43775165395784920000000000E-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) = 5.05000000000021300E-2 " "
y[1] (numeric) = 5.05000000000674000E-2 " "
absolute error = 6.5274174954055300000000000000E-14 " "
relative error = 1.29255791988222870000000000E-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) = 5.56050000000021400E-2 " "
y[1] (numeric) = 5.56050000000674200E-2 " "
absolute error = 6.5274174954055300000000000000E-14 " "
relative error = 1.17389038672876160000000000E-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) = 6.07200000000021500E-2 " "
y[1] (numeric) = 6.072000000006741000E-2 " "
absolute error = 6.52672360601513900000000000000E-14 " "
relative error = 1.07488860441615750000000000E-10 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 13
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1300000000000042 " "
y[1] (closed_form) = 6.58450000000021500E-2 " "
y[1] (numeric) = 6.58450000000674200E-2 " "
absolute error = 6.52672360601513900000000000000E-14 " "
relative error = 9.91225393881832500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1400000000000042 " "
y[1] (closed_form) = 7.09800000000021600E-2 " "
y[1] (numeric) = 7.09800000000674300E-2 " "
absolute error = 6.52672360601513900000000000000E-14 " "
relative error = 9.19515864470969200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1500000000000042 " "
y[1] (closed_form) = 7.61250000000021600E-2 " "
y[1] (numeric) = 7.61250000000674300E-2 " "
absolute error = 6.52672360601513900000000000000E-14 " "
relative error = 8.57369275010174500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16000000000000422 " "
y[1] (closed_form) = 8.12800000000021800E-2 " "
y[1] (numeric) = 8.12800000000674300E-2 " "
absolute error = 6.52533582723435800000000000000E-14 " "
relative error = 8.02821829138063800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17000000000000423 " "
y[1] (closed_form) = 8.64450000000021900E-2 " "
y[1] (numeric) = 8.64450000000674500E-2 " "
absolute error = 6.52672360601513900000000000000E-14 " "
relative error = 7.55014588005665200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18000000000000424 " "
y[1] (closed_form) = 9.1620000000002200E-2 " "
y[1] (numeric) = 9.16200000000674500E-2 " "
absolute error = 6.52533582723435800000000000000E-14 " "
relative error = 7.12217400920563300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19000000000000425 " "
y[1] (closed_form) = 9.68050000000022100E-2 " "
y[1] (numeric) = 9.68050000000674600E-2 " "
absolute error = 6.52533582723435800000000000000E-14 " "
relative error = 6.74070123158329500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20000000000000426 " "
y[1] (closed_form) = 0.10200000000000221 " "
y[1] (numeric) = 0.10200000000006747 " "
absolute error = 6.52533582723435800000000000000E-14 " "
relative error = 6.39738806591589900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21000000000000427 " "
y[1] (closed_form) = 0.10720500000000223 " "
y[1] (numeric) = 0.10720500000006747 " "
absolute error = 6.52394804845357600000000000000E-14 " "
relative error = 6.08548859517134600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22000000000000428 " "
y[1] (closed_form) = 0.11242000000000223 " "
y[1] (numeric) = 0.11242000000006748 " "
absolute error = 6.52533582723435800000000000000E-14 " "
relative error = 5.80442610499397600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23000000000000428 " "
y[1] (closed_form) = 0.11764500000000225 " "
y[1] (numeric) = 0.11764500000006747 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 5.544273254003714000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2400000000000043 " "
y[1] (closed_form) = 0.12288000000000225 " "
y[1] (numeric) = 0.12288000000006748 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 5.308073136126852000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2500000000000043 " "
y[1] (closed_form) = 0.12812500000000224 " "
y[1] (numeric) = 0.12812500000006746 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 5.090778747061604000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2600000000000043 " "
y[1] (closed_form) = 0.13338000000000225 " "
y[1] (numeric) = 0.13338000000006747 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 4.890208629234281700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2700000000000043 " "
y[1] (closed_form) = 0.13864500000000227 " "
y[1] (numeric) = 0.13864500000006746 " "
absolute error = 6.51978471211123200000000000000E-14 " "
relative error = 4.702502587263244000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2800000000000043 " "
y[1] (closed_form) = 0.14392000000000227 " "
y[1] (numeric) = 0.14392000000006747 " "
absolute error = 6.51978471211123200000000000000E-14 " "
relative error = 4.53014501953246830000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2900000000000043 " "
y[1] (closed_form) = 0.14920500000000228 " "
y[1] (numeric) = 0.14920500000006748 " "
absolute error = 6.51978471211123200000000000000E-14 " "
relative error = 4.36968245843713850000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3000000000000043 " "
y[1] (closed_form) = 0.1545000000000023 " "
y[1] (numeric) = 0.15450000000006747 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 4.21812890262108160000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3100000000000043 " "
y[1] (closed_form) = 0.1598050000000023 " "
y[1] (numeric) = 0.15980500000006748 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 4.07810090707398100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.32000000000000434 " "
y[1] (closed_form) = 0.16512000000000232 " "
y[1] (numeric) = 0.1651200000000675 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.94683209456733200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.33000000000000435 " "
y[1] (closed_form) = 0.17044500000000232 " "
y[1] (numeric) = 0.1704450000000675 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.82352615480042300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.34000000000000435 " "
y[1] (closed_form) = 0.17578000000000232 " "
y[1] (numeric) = 0.1757800000000675 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.7074804611159300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.35000000000000436 " "
y[1] (closed_form) = 0.18112500000000234 " "
y[1] (numeric) = 0.1811250000000675 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.598072687121924300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.36000000000000437 " "
y[1] (closed_form) = 0.18648000000000234 " "
y[1] (numeric) = 0.1864800000000675 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.4947496538768700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3700000000000044 " "
y[1] (closed_form) = 0.19184500000000235 " "
y[1] (numeric) = 0.19184500000006752 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.39701798563923400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3800000000000044 " "
y[1] (closed_form) = 0.19722000000000237 " "
y[1] (numeric) = 0.19722000000006754 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.304436241025044000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3900000000000044 " "
y[1] (closed_form) = 0.20260500000000237 " "
y[1] (numeric) = 0.20260500000006754 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.21660825475659160000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4000000000000044 " "
y[1] (closed_form) = 0.20800000000000238 " "
y[1] (numeric) = 0.20800000000006755 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.133177478148843600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4100000000000044 " "
y[1] (closed_form) = 0.2134050000000024 " "
y[1] (numeric) = 0.21340500000006757 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 3.05382214781734050000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4200000000000044 " "
y[1] (closed_form) = 0.2188200000000024 " "
y[1] (numeric) = 0.21882000000006757 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.978251144570696600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43000000000000443 " "
y[1] (closed_form) = 0.22424500000000241 " "
y[1] (numeric) = 0.22424500000006758 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.906200430132042700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.44000000000000444 " "
y[1] (closed_form) = 0.2296800000000024 " "
y[1] (numeric) = 0.22968000000006758 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.83742996976210400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.45000000000000445 " "
y[1] (closed_form) = 0.23512500000000242 " "
y[1] (numeric) = 0.23512500000006759 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.771721065199193000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.46000000000000446 " "
y[1] (closed_form) = 0.24058000000000243 " "
y[1] (numeric) = 0.2405800000000676 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.708874035476599400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.47000000000000447 " "
y[1] (closed_form) = 0.24604500000000246 " "
y[1] (numeric) = 0.2460450000000676 " "
absolute error = 6.51423359698810600000000000000E-14 " "
relative error = 2.6475781247284197000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4800000000000045 " "
y[1] (closed_form) = 0.25152000000000246 " "
y[1] (numeric) = 0.25152000000006763 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.59105007734955700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4900000000000045 " "
y[1] (closed_form) = 0.2570050000000025 " "
y[1] (numeric) = 0.2570050000000676 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 2.53359196880468500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5000000000000044 " "
y[1] (closed_form) = 0.26250000000000245 " "
y[1] (numeric) = 0.2625000000000677 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 2.48478486463723200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5100000000000044 " "
y[1] (closed_form) = 0.26800500000000244 " "
y[1] (numeric) = 0.2680050000000676 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.431674466726221000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5200000000000045 " "
y[1] (closed_form) = 0.2735200000000025 " "
y[1] (numeric) = 0.2735200000000677 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 2.384673979845253000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5300000000000045 " "
y[1] (closed_form) = 0.2790450000000025 " "
y[1] (numeric) = 0.2790450000000676 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 2.33347956043881280000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5400000000000045 " "
y[1] (closed_form) = 0.2845800000000025 " "
y[1] (numeric) = 0.2845800000000677 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 2.29199531578914100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5500000000000045 " "
y[1] (closed_form) = 0.29012500000000246 " "
y[1] (numeric) = 0.29012500000006763 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.246276313502667300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5600000000000045 " "
y[1] (closed_form) = 0.2956800000000025 " "
y[1] (numeric) = 0.2956800000000678 " "
absolute error = 6.5281113847959200000000000000E-14 " "
relative error = 2.207829878515917600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5700000000000045 " "
y[1] (closed_form) = 0.3012450000000025 " "
y[1] (numeric) = 0.30124500000006765 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.163358447293603500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5800000000000045 " "
y[1] (closed_form) = 0.30682000000000254 " "
y[1] (numeric) = 0.30682000000006776 " "
absolute error = 6.52256026967279500000000000000E-14 " "
relative error = 2.12585889761838900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5900000000000045 " "
y[1] (closed_form) = 0.31240500000000254 " "
y[1] (numeric) = 0.31240500000006766 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 2.084300199877239500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6000000000000045 " "
y[1] (closed_form) = 0.31800000000000256 " "
y[1] (numeric) = 0.31800000000006773 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 2.049373947971577500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6100000000000045 " "
y[1] (closed_form) = 0.32360500000000253 " "
y[1] (numeric) = 0.32360500000006764 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 2.012162370614326800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6200000000000045 " "
y[1] (closed_form) = 0.32922000000000257 " "
y[1] (numeric) = 0.32922000000006774 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 1.979530148396093400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 12
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6300000000000046 " "
y[1] (closed_form) = 0.33484500000000256 " "
y[1] (numeric) = 0.33484500000006767 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.944618566628288600000000000E-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) = 0.34048000000000256 " "
y[1] (numeric) = 0.34048000000006773 " "
absolute error = 6.51700915454966900000000000000E-14 " "
relative error = 1.91406518871875600000000000E-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) = 0.34612500000000257 " "
y[1] (numeric) = 0.3461250000000677 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.88124464844391300000000000E-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) = 0.3517800000000026 " "
y[1] (numeric) = 0.3517800000000677 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.851002910747198700000000000E-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) = 0.3574450000000026 " "
y[1] (numeric) = 0.3574450000000677 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 1.820114122257513500000000000E-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) = 0.3631200000000026 " "
y[1] (numeric) = 0.3631200000000677 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.793197301009720500000000000E-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) = 0.3688050000000026 " "
y[1] (numeric) = 0.3688050000000677 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.765555792200891300000000000E-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) = 0.3745000000000026 " "
y[1] (numeric) = 0.3745000000000677 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.738707086629238400000000000E-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) = 0.3802050000000026 " "
y[1] (numeric) = 0.38020500000006774 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.712617677154823800000000000E-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) = 0.38592000000000265 " "
y[1] (numeric) = 0.3859200000000677 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 1.68581750733400000000000E-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) = 0.3916450000000027 " "
y[1] (numeric) = 0.39164500000006774 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 1.66117451373140800000000000E-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) = 0.3973800000000027 " "
y[1] (numeric) = 0.39738000000006773 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 1.63720039365427900000000000E-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) = 0.4031250000000027 " "
y[1] (numeric) = 0.4031250000000678 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.61524540512905400000000000E-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) = 0.4088800000000027 " "
y[1] (numeric) = 0.40888000000006774 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 1.591153131555315700000000000E-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) = 0.4146450000000027 " "
y[1] (numeric) = 0.4146450000000678 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.57036936160486700000000000E-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) = 0.42042000000000274 " "
y[1] (numeric) = 0.42042000000006774 " "
absolute error = 6.50035580918029200000000000000E-14 " "
relative error = 1.546157606484051500000000000E-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) = 0.4262050000000027 " "
y[1] (numeric) = 0.42620500000006784 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.52777607945155520000000000E-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) = 0.4320000000000027 " "
y[1] (numeric) = 0.4320000000000677 " "
absolute error = 6.50035580918029200000000000000E-14 " "
relative error = 1.504711992865798700000000000E-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) = 0.4378050000000027 " "
y[1] (numeric) = 0.43780500000006783 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.48729640808727720000000000E-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) = 0.44362000000000273 " "
y[1] (numeric) = 0.44362000000006774 " "
absolute error = 6.50035580918029200000000000000E-14 " "
relative error = 1.465298185199100700000000000E-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) = 0.44944500000000276 " "
y[1] (numeric) = 0.4494450000000679 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 1.448777501012694400000000000E-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) = 0.4552800000000028 " "
y[1] (numeric) = 0.45528000000006774 " "
absolute error = 6.49480469405716600000000000000E-14 " "
relative error = 1.426551725104798200000000000E-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) = 0.4611250000000028 " "
y[1] (numeric) = 0.46112500000006784 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 1.410877077647791600000000000E-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) = 0.4669800000000028 " "
y[1] (numeric) = 0.46698000000006773 " "
absolute error = 6.49480469405716600000000000000E-14 " "
relative error = 1.390810033418374800000000000E-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) = 0.4728450000000028 " "
y[1] (numeric) = 0.47284500000006785 " "
absolute error = 6.50590692430341700000000000000E-14 " "
relative error = 1.37590688794496700000000000E-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) = 0.4787200000000028 " "
y[1] (numeric) = 0.47872000000006776 " "
absolute error = 6.49480469405716600000000000000E-14 " "
relative error = 1.356702183751906700000000000E-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) = 0.48460500000000284 " "
y[1] (numeric) = 0.48460500000006784 " "
absolute error = 6.50035580918029200000000000000E-14 " "
relative error = 1.341372005897639000000000000E-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) = 0.4905000000000028 " "
y[1] (numeric) = 0.49050000000006777 " "
absolute error = 6.49480469405716600000000000000E-14 " "
relative error = 1.324119203681371800000000000E-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) = 0.49640500000000287 " "
y[1] (numeric) = 0.4964050000000678 " "
absolute error = 6.49480469405716600000000000000E-14 " "
relative error = 1.308368105489898000000000000E-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) = 0.5023200000000029 " "
y[1] (numeric) = 0.5023200000000677 " "
absolute error = 6.48370246381091400000000000000E-14 " "
relative error = 1.290751406237234700000000000E-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) = 0.5082450000000028 " "
y[1] (numeric) = 0.5082450000000677 " "
absolute error = 6.48370246381091400000000000000E-14 " "
relative error = 1.275704131631571000000000000E-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) = 0.5141800000000029 " "
y[1] (numeric) = 0.5141800000000677 " "
absolute error = 6.48370246381091400000000000000E-14 " "
relative error = 1.260979124783320700000000000E-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) = 0.5201250000000028 " "
y[1] (numeric) = 0.5201250000000677 " "
absolute error = 6.48370246381091400000000000000E-14 " "
relative error = 1.246566203087888100000000000E-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) = 0.5260800000000029 " "
y[1] (numeric) = 0.5260800000000677 " "
absolute error = 6.48370246381091400000000000000E-14 " "
relative error = 1.23245560823655700000000000E-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) = 0.5320450000000029 " "
y[1] (numeric) = 0.5320450000000677 " "
absolute error = 6.48370246381091400000000000000E-14 " "
relative error = 1.218637984345474400000000000E-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) = 0.5380200000000029 " "
y[1] (numeric) = 0.5380200000000677 " "
absolute error = 6.47260023356466300000000000000E-14 " "
relative error = 1.20304082256507700000000000E-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) = 0.544005000000003 " "
y[1] (numeric) = 0.5440050000000677 " "
absolute error = 6.47260023356466300000000000000E-14 " "
relative error = 1.189805283694934200000000000E-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) = 0.5500000000000029 " "
y[1] (numeric) = 0.5500000000000677 " "
absolute error = 6.47260023356466300000000000000E-14 " "
relative error = 1.176836406102659800000000000E-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) = 0.5560050000000023 " "
y[1] (numeric) = 0.5560050000000677 " "
absolute error = 6.53921361504217200000000000000E-14 " "
relative error = 1.176106980160636200000000000E-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) = 0.5620200000000016 " "
y[1] (numeric) = 0.5620200000000676 " "
absolute error = 6.5947247662734300000000000000E-14 " "
relative error = 1.173396812617595500000000000E-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) = 0.5680450000000009 " "
y[1] (numeric) = 0.5680450000000676 " "
absolute error = 6.67244037799719100000000000000E-14 " "
relative error = 1.1746323579993100000000000E-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) = 0.5740800000000003 " "
y[1] (numeric) = 0.5740800000000676 " "
absolute error = 6.739053759474700000000000000E-14 " "
relative error = 1.173887569585196800000000000E-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) = 0.5801249999999997 " "
y[1] (numeric) = 0.5801250000000677 " "
absolute error = 6.8056671409522100000000000000E-14 " "
relative error = 1.173138054893723400000000000E-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) = 0.5861799999999989 " "
y[1] (numeric) = 0.5861800000000676 " "
absolute error = 6.87228052242971900000000000000E-14 " "
relative error = 1.172383998503826900000000000E-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) = 0.5922449999999982 " "
y[1] (numeric) = 0.5922450000000677 " "
absolute error = 6.9499961341534800000000000000E-14 " "
relative error = 1.173500178837052200000000000E-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) = 0.5983199999999976 " "
y[1] (numeric) = 0.5983200000000677 " "
absolute error = 7.00550728538473800000000000000E-14 " "
relative error = 1.170862963862943800000000000E-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) = 0.604404999999997 " "
y[1] (numeric) = 0.6044050000000678 " "
absolute error = 7.08322289710849900000000000000E-14 " "
relative error = 1.171933206559928200000000000E-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) = 0.6104999999999963 " "
y[1] (numeric) = 0.6105000000000677 " "
absolute error = 7.13873404833975700000000000000E-14 " "
relative error = 1.169325806443865700000000000E-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) = 0.6166049999999956 " "
y[1] (numeric) = 0.6166050000000678 " "
absolute error = 7.21644966006351800000000000000E-14 " "
relative error = 1.170352115221830700000000000E-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) = 0.6227199999999949 " "
y[1] (numeric) = 0.6227200000000677 " "
absolute error = 7.27196081129477500000000000000E-14 " "
relative error = 1.167773768514715000000000000E-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) = 0.6288449999999942 " "
y[1] (numeric) = 0.6288450000000677 " "
absolute error = 7.34967642301853600000000000000E-14 " "
relative error = 1.168758028292918700000000000E-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) = 0.6349799999999935 " "
y[1] (numeric) = 0.6349800000000676 " "
absolute error = 7.40518757424979400000000000000E-14 " "
relative error = 1.16620800249612090000000000E-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) = 0.6411249999999928 " "
y[1] (numeric) = 0.6411250000000677 " "
absolute error = 7.48290318597355500000000000000E-14 " "
relative error = 1.167151988453677300000000000E-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) = 0.6472799999999922 " "
y[1] (numeric) = 0.6472800000000676 " "
absolute error = 7.53841433720481300000000000000E-14 " "
relative error = 1.164629578730210100000000000E-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) = 0.6534449999999915 " "
y[1] (numeric) = 0.6534450000000676 " "
absolute error = 7.60502771868232200000000000000E-14 " "
relative error = 1.163835933962678200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.179999999999985 " "
y[1] (closed_form) = 0.6596199999999908 " "
y[1] (numeric) = 0.6596200000000675 " "
absolute error = 7.67164110015983200000000000000E-14 " "
relative error = 1.163039492459285500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.189999999999984 " "
y[1] (closed_form) = 0.6658049999999901 " "
y[1] (numeric) = 0.6658050000000676 " "
absolute error = 7.74935671188359300000000000000E-14 " "
relative error = 1.163907857688618700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1999999999999829 " "
y[1] (closed_form) = 0.6719999999999894 " "
y[1] (numeric) = 0.6720000000000675 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 1.163090787702563400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2099999999999818 " "
y[1] (closed_form) = 0.6782049999999886 " "
y[1] (numeric) = 0.6782050000000676 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.163908509239093700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2199999999999807 " "
y[1] (closed_form) = 0.6844199999999879 " "
y[1] (numeric) = 0.6844200000000675 " "
absolute error = 7.96029908656237200000000000000E-14 " "
relative error = 1.163072248993675500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2299999999999796 " "
y[1] (closed_form) = 0.6906449999999873 " "
y[1] (numeric) = 0.6906450000000676 " "
absolute error = 8.02691246803988200000000000000E-14 " "
relative error = 1.16223421121415900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2399999999999785 " "
y[1] (closed_form) = 0.6968799999999865 " "
y[1] (numeric) = 0.6968800000000676 " "
absolute error = 8.10462807976364300000000000000E-14 " "
relative error = 1.162987613328521400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2499999999999774 " "
y[1] (closed_form) = 0.7031249999999858 " "
y[1] (numeric) = 0.7031250000000675 " "
absolute error = 8.17124146124115200000000000000E-14 " "
relative error = 1.162132118932098500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2599999999999763 " "
y[1] (closed_form) = 0.7093799999999851 " "
y[1] (numeric) = 0.7093800000000675 " "
absolute error = 8.23785484271866200000000000000E-14 " "
relative error = 1.161275316856809200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2699999999999751 " "
y[1] (closed_form) = 0.7156449999999844 " "
y[1] (numeric) = 0.7156450000000675 " "
absolute error = 8.30446822419617100000000000000E-14 " "
relative error = 1.160417277308770600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.279999999999974 " "
y[1] (closed_form) = 0.7219199999999837 " "
y[1] (numeric) = 0.7219200000000675 " "
absolute error = 8.38218383591993200000000000000E-14 " "
relative error = 1.161095943583793500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.289999999999973 " "
y[1] (closed_form) = 0.728204999999983 " "
y[1] (numeric) = 0.7282050000000674 " "
absolute error = 8.4376949871511900000000000000E-14 " "
relative error = 1.158697755048562600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2999999999999718 " "
y[1] (closed_form) = 0.7344999999999823 " "
y[1] (numeric) = 0.7345000000000674 " "
absolute error = 8.51541059887495100000000000000E-14 " "
relative error = 1.15934793721921810000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3099999999999707 " "
y[1] (closed_form) = 0.7408049999999815 " "
y[1] (numeric) = 0.7408050000000673 " "
absolute error = 8.5820239803524600000000000000E-14 " "
relative error = 1.158472739837430200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3199999999999696 " "
y[1] (closed_form) = 0.7471199999999808 " "
y[1] (numeric) = 0.7471200000000674 " "
absolute error = 8.65973959207622100000000000000E-14 " "
relative error = 1.159082823653020100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3299999999999685 " "
y[1] (closed_form) = 0.7534449999999802 " "
y[1] (numeric) = 0.7534450000000672 " "
absolute error = 8.70414851306122700000000000000E-14 " "
relative error = 1.155246701890842200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3399999999999674 " "
y[1] (closed_form) = 0.7597799999999794 " "
y[1] (numeric) = 0.7597800000000673 " "
absolute error = 8.7929663550312400000000000000E-14 " "
relative error = 1.15730426637072300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3499999999999663 " "
y[1] (closed_form) = 0.7661249999999786 " "
y[1] (numeric) = 0.7661250000000671 " "
absolute error = 8.84847750626249800000000000000E-14 " "
relative error = 1.154965248002968900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3599999999999652 " "
y[1] (closed_form) = 0.7724799999999779 " "
y[1] (numeric) = 0.7724800000000672 " "
absolute error = 8.9372953482325100000000000000E-14 " "
relative error = 1.1569613903573900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3699999999999641 " "
y[1] (closed_form) = 0.7788449999999771 " "
y[1] (numeric) = 0.7788450000000671 " "
absolute error = 8.99280649946376800000000000000E-14 " "
relative error = 1.154633656178576200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.379999999999963 " "
y[1] (closed_form) = 0.7852199999999764 " "
y[1] (numeric) = 0.7852200000000672 " "
absolute error = 9.0816243414337800000000000000E-14 " "
relative error = 1.156570686105047600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.389999999999962 " "
y[1] (closed_form) = 0.7916049999999757 " "
y[1] (numeric) = 0.7916050000000671 " "
absolute error = 9.13713549266503800000000000000E-14 " "
relative error = 1.154254393626280600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3999999999999608 " "
y[1] (closed_form) = 0.797999999999975 " "
y[1] (numeric) = 0.7980000000000671 " "
absolute error = 9.21485110438879900000000000000E-14 " "
relative error = 1.154743246164046100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4099999999999597 " "
y[1] (closed_form) = 0.8044049999999742 " "
y[1] (numeric) = 0.804405000000067 " "
absolute error = 9.28146448586630900000000000000E-14 " "
relative error = 1.153829785477043000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4199999999999586 " "
y[1] (closed_form) = 0.8108199999999735 " "
y[1] (numeric) = 0.810820000000067 " "
absolute error = 9.3591800975900700000000000000E-14 " "
relative error = 1.15428579679711600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4299999999999575 " "
y[1] (closed_form) = 0.8172449999999727 " "
y[1] (numeric) = 0.817245000000067 " "
absolute error = 9.42579347906757900000000000000E-14 " "
relative error = 1.153362024737733800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4399999999999564 " "
y[1] (closed_form) = 0.823679999999972 " "
y[1] (numeric) = 0.8236800000000669 " "
absolute error = 9.49240686054508800000000000000E-14 " "
relative error = 1.152438672851764100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4499999999999553 " "
y[1] (closed_form) = 0.8301249999999711 " "
y[1] (numeric) = 0.8301250000000668 " "
absolute error = 9.5701224722688490000000000000E-14 " "
relative error = 1.152853181420771700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4599999999999542 " "
y[1] (closed_form) = 0.8365799999999705 " "
y[1] (numeric) = 0.8365800000000668 " "
absolute error = 9.63673585374635900000000000000E-14 " "
relative error = 1.151920420491369500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4699999999999531 " "
y[1] (closed_form) = 0.8430449999999696 " "
y[1] (numeric) = 0.8430450000000668 " "
absolute error = 9.7144514654701200000000000000E-14 " "
relative error = 1.15230521092829800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.479999999999952 " "
y[1] (closed_form) = 0.849519999999969 " "
y[1] (numeric) = 0.8495200000000667 " "
absolute error = 9.76996261670137800000000000000E-14 " "
relative error = 1.15005681051673110000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.489999999999951 " "
y[1] (closed_form) = 0.8560049999999682 " "
y[1] (numeric) = 0.8560050000000666 " "
absolute error = 9.84767822842513900000000000000E-14 " "
relative error = 1.150422979822022700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4999999999999498 " "
y[1] (closed_form) = 0.8624999999999674 " "
y[1] (numeric) = 0.8625000000000665 " "
absolute error = 9.91429160990264800000000000000E-14 " "
relative error = 1.149483085206147600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5099999999999487 " "
y[1] (closed_form) = 0.8690049999999666 " "
y[1] (numeric) = 0.8690050000000665 " "
absolute error = 9.99200722162640900000000000000E-14 " "
relative error = 1.149821603054849400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5199999999999476 " "
y[1] (closed_form) = 0.8755199999999659 " "
y[1] (numeric) = 0.8755200000000664 " "
absolute error = 1.00475183728576670000000000000E-13 " "
relative error = 1.147605808303414900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5299999999999465 " "
y[1] (closed_form) = 0.8820449999999651 " "
y[1] (numeric) = 0.8820450000000664 " "
absolute error = 1.01252339845814280000000000000E-13 " "
relative error = 1.147927144826151500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5399999999999454 " "
y[1] (closed_form) = 0.8885799999999643 " "
y[1] (numeric) = 0.8885800000000663 " "
absolute error = 1.02029495963051890000000000000E-13 " "
relative error = 1.148230839801210700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5499999999999443 " "
y[1] (closed_form) = 0.8951249999999635 " "
y[1] (numeric) = 0.8951250000000663 " "
absolute error = 1.0280665208028950000000000000E-13 " "
relative error = 1.148517269434924500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5599999999999432 " "
y[1] (closed_form) = 0.9016799999999627 " "
y[1] (numeric) = 0.9016800000000662 " "
absolute error = 1.03472785895064590000000000000E-13 " "
relative error = 1.147555517423796400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.569999999999942 " "
y[1] (closed_form) = 0.908244999999962 " "
y[1] (numeric) = 0.9082450000000662 " "
absolute error = 1.0424994201230220000000000000E-13 " "
relative error = 1.147817406231870800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.579999999999941 " "
y[1] (closed_form) = 0.9148199999999612 " "
y[1] (numeric) = 0.9148200000000661 " "
absolute error = 1.04916075827077300000000000000E-13 " "
relative error = 1.146849389246865400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.58999999999994 " "
y[1] (closed_form) = 0.9214049999999604 " "
y[1] (numeric) = 0.9214050000000662 " "
absolute error = 1.05804254246777420000000000000E-13 " "
relative error = 1.148292599310639400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5999999999999388 " "
y[1] (closed_form) = 0.9279999999999596 " "
y[1] (numeric) = 0.928000000000066 " "
absolute error = 1.06359365759090000000000000E-13 " "
relative error = 1.146113855162657600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6099999999999377 " "
y[1] (closed_form) = 0.9346049999999588 " "
y[1] (numeric) = 0.9346050000000661 " "
absolute error = 1.07247544178790120000000000000E-13 " "
relative error = 1.147517338113907400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6199999999999366 " "
y[1] (closed_form) = 0.941219999999958 " "
y[1] (numeric) = 0.9412200000000659 " "
absolute error = 1.07913677993565220000000000000E-13 " "
relative error = 1.14652980167835400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6299999999999355 " "
y[1] (closed_form) = 0.9478449999999572 " "
y[1] (numeric) = 0.9478450000000659 " "
absolute error = 1.08690834110802830000000000000E-13 " "
relative error = 1.146715276345897600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6399999999999344 " "
y[1] (closed_form) = 0.9544799999999565 " "
y[1] (numeric) = 0.9544800000000657 " "
absolute error = 1.0924594562311540000000000000E-13 " "
relative error = 1.144559819201244700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6499999999999333 " "
y[1] (closed_form) = 0.9611249999999556 " "
y[1] (numeric) = 0.9611250000000657 " "
absolute error = 1.10134124042815530000000000000E-13 " "
relative error = 1.145887621722675200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6599999999999322 " "
y[1] (closed_form) = 0.9677799999999548 " "
y[1] (numeric) = 0.9677800000000656 " "
absolute error = 1.10800257857590620000000000000E-13 " "
relative error = 1.144890965483847400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.669999999999931 " "
y[1] (closed_form) = 0.974444999999954 " "
y[1] (numeric) = 0.9744450000000655 " "
absolute error = 1.11466391672365720000000000000E-13 " "
relative error = 1.14389618369811500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.67999999999993 " "
y[1] (closed_form) = 0.9811199999999533 " "
y[1] (numeric) = 0.9811200000000654 " "
absolute error = 1.12132525487140810000000000000E-13 " "
relative error = 1.142903268582295300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.689999999999929 " "
y[1] (closed_form) = 0.9878049999999524 " "
y[1] (numeric) = 0.9878050000000654 " "
absolute error = 1.13020703906840940000000000000E-13 " "
relative error = 1.14416007113596690000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6999999999999278 " "
y[1] (closed_form) = 0.9944999999999516 " "
y[1] (numeric) = 0.9945000000000653 " "
absolute error = 1.13686837721616030000000000000E-13 " "
relative error = 1.143155733751850700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7099999999999267 " "
y[1] (closed_form) = 1.0012049999999508 " "
y[1] (numeric) = 1.0012050000000652 " "
absolute error = 1.14352971536391120000000000000E-13 " "
relative error = 1.142153420492274300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7199999999999256 " "
y[1] (closed_form) = 1.00791999999995 " "
y[1] (numeric) = 1.0079200000000652 " "
absolute error = 1.15241149956091250000000000000E-13 " "
relative error = 1.143356119097715800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7299999999999245 " "
y[1] (closed_form) = 1.0146449999999492 " "
y[1] (numeric) = 1.014645000000065 " "
absolute error = 1.15907283770866340000000000000E-13 " "
relative error = 1.142343221233753200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7399999999999234 " "
y[1] (closed_form) = 1.0213799999999484 " "
y[1] (numeric) = 1.021380000000065 " "
absolute error = 1.16573417585641440000000000000E-13 " "
relative error = 1.141332487278459700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7499999999999223 " "
y[1] (closed_form) = 1.0281249999999476 " "
y[1] (numeric) = 1.028125000000065 " "
absolute error = 1.17461596005341560000000000000E-13 " "
relative error = 1.14248360856265100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7599999999999212 " "
y[1] (closed_form) = 1.0348799999999467 " "
y[1] (numeric) = 1.0348800000000649 " "
absolute error = 1.18127729820116660000000000000E-13 " "
relative error = 1.14146306644367200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.76999999999992 " "
y[1] (closed_form) = 1.041644999999946 " "
y[1] (numeric) = 1.0416450000000648 " "
absolute error = 1.18793863634891750000000000000E-13 " "
relative error = 1.140444812147112700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.779999999999919 " "
y[1] (closed_form) = 1.048419999999945 " "
y[1] (numeric) = 1.0484200000000647 " "
absolute error = 1.19682042054591880000000000000E-13 " "
relative error = 1.141546727977319600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7899999999999179 " "
y[1] (closed_form) = 1.0552049999999442 " "
y[1] (numeric) = 1.0552050000000646 " "
absolute error = 1.20348175869366970000000000000E-13 " "
relative error = 1.140519385990147300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7999999999999168 " "
y[1] (closed_form) = 1.0619999999999434 " "
y[1] (numeric) = 1.0620000000000647 " "
absolute error = 1.2123635428906710000000000000E-13 " "
relative error = 1.141585256959261200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8099999999999157 " "
y[1] (closed_form) = 1.0688049999999425 " "
y[1] (numeric) = 1.0688050000000644 " "
absolute error = 1.2190248810384219000000000000E-13 " "
relative error = 1.14054938088658600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8199999999999146 " "
y[1] (closed_form) = 1.0756199999999418 " "
y[1] (numeric) = 1.0756200000000644 " "
absolute error = 1.22568621918617280000000000000E-13 " "
relative error = 1.139516017911752400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8299999999999135 " "
y[1] (closed_form) = 1.0824449999999408 " "
y[1] (numeric) = 1.0824450000000643 " "
absolute error = 1.2345680033831741000000000000E-13 " "
relative error = 1.140536473800739500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8399999999999124 " "
y[1] (closed_form) = 1.08927999999994 " "
y[1] (numeric) = 1.0892800000000642 " "
absolute error = 1.2412293415309250000000000000E-13 " "
relative error = 1.139495209249222800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8499999999999113 " "
y[1] (closed_form) = 1.0961249999999392 " "
y[1] (numeric) = 1.096125000000064 " "
absolute error = 1.2478906796786760000000000000E-13 " "
relative error = 1.138456544352829500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8599999999999102 " "
y[1] (closed_form) = 1.1029799999999383 " "
y[1] (numeric) = 1.102980000000064 " "
absolute error = 1.25677246387567720000000000000E-13 " "
relative error = 1.13943359251822100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.869999999999909 " "
y[1] (closed_form) = 1.1098449999999376 " "
y[1] (numeric) = 1.1098450000000637 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.136386933287304700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.879999999999908 " "
y[1] (closed_form) = 1.1167199999999367 " "
y[1] (numeric) = 1.1167200000000637 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.137344312066812800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8899999999999069 " "
y[1] (closed_form) = 1.1236049999999358 " "
y[1] (numeric) = 1.1236050000000635 " "
absolute error = 1.276756478318930000000000000E-13 " "
relative error = 1.136303663937952300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8999999999999058 " "
y[1] (closed_form) = 1.130499999999935 " "
y[1] (numeric) = 1.1305000000000633 " "
absolute error = 1.2834178164666810000000000000E-13 " "
relative error = 1.135265649240826700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9099999999999047 " "
y[1] (closed_form) = 1.137404999999934 " "
y[1] (numeric) = 1.1374050000000633 " "
absolute error = 1.29229960066368220000000000000E-13 " "
relative error = 1.136182450986022700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9199999999999036 " "
y[1] (closed_form) = 1.1443199999999334 " "
y[1] (numeric) = 1.144320000000063 " "
absolute error = 1.29674049276218280000000000000E-13 " "
relative error = 1.133197438445765500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9299999999999025 " "
y[1] (closed_form) = 1.1512449999999324 " "
y[1] (numeric) = 1.151245000000063 " "
absolute error = 1.3056222769591840000000000000E-13 " "
relative error = 1.134095936971939700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9399999999999014 " "
y[1] (closed_form) = 1.1581799999999316 " "
y[1] (numeric) = 1.158180000000063 " "
absolute error = 1.31450406115618530000000000000E-13 " "
relative error = 1.13497389106724590000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9499999999999003 " "
y[1] (closed_form) = 1.1651249999999307 " "
y[1] (numeric) = 1.1651250000000628 " "
absolute error = 1.32116539930393630000000000000E-13 " "
relative error = 1.13392588718293300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9599999999998992 " "
y[1] (closed_form) = 1.1720799999999298 " "
y[1] (numeric) = 1.1720800000000628 " "
absolute error = 1.33004718350093750000000000000E-13 " "
relative error = 1.134775086599052300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.969999999999898 " "
y[1] (closed_form) = 1.1790449999999288 " "
y[1] (numeric) = 1.1790450000000627 " "
absolute error = 1.33892896769793880000000000000E-13 " "
relative error = 1.135604635699247900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.979999999999897 " "
y[1] (closed_form) = 1.1860199999999281 " "
y[1] (numeric) = 1.1860200000000627 " "
absolute error = 1.34559030584568970000000000000E-13 " "
relative error = 1.13454267705921600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9899999999998959 " "
y[1] (closed_form) = 1.1930049999999273 " "
y[1] (numeric) = 1.1930050000000627 " "
absolute error = 1.3544720900426910000000000000E-13 " "
relative error = 1.135344856092617800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9999999999998948 " "
y[1] (closed_form) = 1.1999999999999265 " "
y[1] (numeric) = 1.2000000000000626 " "
absolute error = 1.3611334281904420000000000000E-13 " "
relative error = 1.134277856825437700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0099999999998936 " "
y[1] (closed_form) = 1.2070049999999255 " "
y[1] (numeric) = 1.2070050000000625 " "
absolute error = 1.37001521238744320000000000000E-13 " "
relative error = 1.135053469030805900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0199999999998925 " "
y[1] (closed_form) = 1.2140199999999246 " "
y[1] (numeric) = 1.2140200000000625 " "
absolute error = 1.37889699658444440000000000000E-13 " "
relative error = 1.135810774603820500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0299999999998914 " "
y[1] (closed_form) = 1.2210449999999238 " "
y[1] (numeric) = 1.2210450000000623 " "
absolute error = 1.38555833473219540000000000000E-13 " "
relative error = 1.134731590344566900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0399999999998903 " "
y[1] (closed_form) = 1.2280799999999228 " "
y[1] (numeric) = 1.2280800000000622 " "
absolute error = 1.39444011892919660000000000000E-13 " "
relative error = 1.135463584562312200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0499999999998892 " "
y[1] (closed_form) = 1.2351249999999219 " "
y[1] (numeric) = 1.2351250000000622 " "
absolute error = 1.40332190312619800000000000000E-13 " "
relative error = 1.136178041191204500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.059999999999888 " "
y[1] (closed_form) = 1.242179999999921 " "
y[1] (numeric) = 1.242180000000062 " "
absolute error = 1.40998324127394880000000000000E-13 " "
relative error = 1.135087701680946700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.069999999999887 " "
y[1] (closed_form) = 1.2492449999999202 " "
y[1] (numeric) = 1.2492450000000621 " "
absolute error = 1.418865025470950000000000000E-13 " "
relative error = 1.13577803030713800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.079999999999886 " "
y[1] (closed_form) = 1.2563199999999193 " "
y[1] (numeric) = 1.2563200000000618 " "
absolute error = 1.4255263636187010000000000000E-13 " "
relative error = 1.134684127944148400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.089999999999885 " "
y[1] (closed_form) = 1.2634049999999184 " "
y[1] (numeric) = 1.2634050000000618 " "
absolute error = 1.43440814781570230000000000000E-13 " "
relative error = 1.135351013978728200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0999999999998837 " "
y[1] (closed_form) = 1.2704999999999176 " "
y[1] (numeric) = 1.2705000000000617 " "
absolute error = 1.44106948596345320000000000000E-13 " "
relative error = 1.13425382602404300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1099999999998826 " "
y[1] (closed_form) = 1.2776049999999166 " "
y[1] (numeric) = 1.2776050000000616 " "
absolute error = 1.44995127016045440000000000000E-13 " "
relative error = 1.134897930237083600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999998815 " "
y[1] (closed_form) = 1.2847199999999157 " "
y[1] (numeric) = 1.2847200000000614 " "
absolute error = 1.45661260830820540000000000000E-13 " "
relative error = 1.13379772114414100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1299999999998804 " "
y[1] (closed_form) = 1.2918449999999146 " "
y[1] (numeric) = 1.2918450000000614 " "
absolute error = 1.4677148385544570000000000000E-13 " "
relative error = 1.136138498468898400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1399999999998793 " "
y[1] (closed_form) = 1.2989799999999139 " "
y[1] (numeric) = 1.298980000000061 " "
absolute error = 1.47215573065295760000000000000E-13 " "
relative error = 1.133316702838423300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1499999999998782 " "
y[1] (closed_form) = 1.306124999999913 " "
y[1] (numeric) = 1.306125000000061 " "
absolute error = 1.48103751484995880000000000000E-13 " "
relative error = 1.133917132625175500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.159999999999877 " "
y[1] (closed_form) = 1.313279999999912 " "
y[1] (numeric) = 1.3132800000000608 " "
absolute error = 1.48769885299770980000000000000E-13 " "
relative error = 1.132811626612610600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.169999999999876 " "
y[1] (closed_form) = 1.320444999999911 " "
y[1] (numeric) = 1.3204450000000607 " "
absolute error = 1.4965806371947110000000000000E-13 " "
relative error = 1.133391119807952400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.179999999999875 " "
y[1] (closed_form) = 1.3276199999999103 " "
y[1] (numeric) = 1.3276200000000606 " "
absolute error = 1.5032419753424620000000000000E-13 " "
relative error = 1.132283315513899600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.189999999999874 " "
y[1] (closed_form) = 1.3348049999999092 " "
y[1] (numeric) = 1.3348050000000604 " "
absolute error = 1.51212375953946320000000000000E-13 " "
relative error = 1.132842444806219700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1999999999998727 " "
y[1] (closed_form) = 1.3419999999999084 " "
y[1] (numeric) = 1.3420000000000603 " "
absolute error = 1.51878509768721410000000000000E-13 " "
relative error = 1.13173256161499100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2099999999998716 " "
y[1] (closed_form) = 1.3492049999999074 " "
y[1] (numeric) = 1.3492050000000602 " "
absolute error = 1.52766688188421540000000000000E-13 " "
relative error = 1.13227188002143500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2199999999998705 " "
y[1] (closed_form) = 1.3564199999999065 " "
y[1] (numeric) = 1.35642000000006 " "
absolute error = 1.53432822003196630000000000000E-13 " "
relative error = 1.131160127417814600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2299999999998694 " "
y[1] (closed_form) = 1.3636449999999056 " "
y[1] (numeric) = 1.3636450000000597 " "
absolute error = 1.54098955817971730000000000000E-13 " "
relative error = 1.13005185233680600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2399999999998683 " "
y[1] (closed_form) = 1.3708799999999046 " "
y[1] (numeric) = 1.3708800000000596 " "
absolute error = 1.54987134237671850000000000000E-13 " "
relative error = 1.130566747181975300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.249999999999867 " "
y[1] (closed_form) = 1.3781249999999037 " "
y[1] (numeric) = 1.3781250000000593 " "
absolute error = 1.55653268052446950000000000000E-13 " "
relative error = 1.129456820335294900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.259999999999866 " "
y[1] (closed_form) = 1.3853799999999028 " "
y[1] (numeric) = 1.3853800000000593 " "
absolute error = 1.56541446472147070000000000000E-13 " "
relative error = 1.129953128182578400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.269999999999865 " "
y[1] (closed_form) = 1.3926449999999018 " "
y[1] (numeric) = 1.392645000000059 " "
absolute error = 1.57207580286922170000000000000E-13 " "
relative error = 1.128841738468405500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.279999999999864 " "
y[1] (closed_form) = 1.399919999999901 " "
y[1] (numeric) = 1.399920000000059 " "
absolute error = 1.57873714101697260000000000000E-13 " "
relative error = 1.127733828373824300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.289999999999863 " "
y[1] (closed_form) = 1.4072049999999 " "
y[1] (numeric) = 1.4072050000000589 " "
absolute error = 1.58983937126322420000000000000E-13 " "
relative error = 1.129785192110131200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2999999999998617 " "
y[1] (closed_form) = 1.414499999999899 " "
y[1] (numeric) = 1.4145000000000587 " "
absolute error = 1.5965007094109750000000000000E-13 " "
relative error = 1.128667875158069400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999998606 " "
y[1] (closed_form) = 1.421804999999898 " "
y[1] (numeric) = 1.4218050000000586 " "
absolute error = 1.60538249360797640000000000000E-13 " "
relative error = 1.129115802524320400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3199999999998595 " "
y[1] (closed_form) = 1.4291199999998971 " "
y[1] (numeric) = 1.4291200000000586 " "
absolute error = 1.61426427780497760000000000000E-13 " "
relative error = 1.129551246784800400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3299999999998584 " "
y[1] (closed_form) = 1.4364449999998963 " "
y[1] (numeric) = 1.4364450000000584 " "
absolute error = 1.62092561595272850000000000000E-13 " "
relative error = 1.12842859695487500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3399999999998573 " "
y[1] (closed_form) = 1.4437799999998953 " "
y[1] (numeric) = 1.4437800000000585 " "
absolute error = 1.632027846198980000000000000E-13 " "
relative error = 1.130385409272256500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.349999999999856 " "
y[1] (closed_form) = 1.4511249999998943 " "
y[1] (numeric) = 1.4511250000000582 " "
absolute error = 1.6386891843467310000000000000E-13 " "
relative error = 1.129254326365303000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.359999999999855 " "
y[1] (closed_form) = 1.4584799999998934 " "
y[1] (numeric) = 1.4584800000000582 " "
absolute error = 1.64757096854373230000000000000E-13 " "
relative error = 1.129649339410792600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.369999999999854 " "
y[1] (closed_form) = 1.4658449999998924 " "
y[1] (numeric) = 1.465845000000058 " "
absolute error = 1.65645275274073360000000000000E-13 " "
relative error = 1.130032679267490800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.379999999999853 " "
y[1] (closed_form) = 1.4732199999998914 " "
y[1] (numeric) = 1.473220000000058 " "
absolute error = 1.66533453693773480000000000000E-13 " "
relative error = 1.130404513200918800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.389999999999852 " "
y[1] (closed_form) = 1.4806049999998905 " "
y[1] (numeric) = 1.4806050000000577 " "
absolute error = 1.67199587508548570000000000000E-13 " "
relative error = 1.129265317276119800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3999999999998507 " "
y[1] (closed_form) = 1.4879999999998894 " "
y[1] (numeric) = 1.4880000000000577 " "
absolute error = 1.68309810533173730000000000000E-13 " "
relative error = 1.131114318099369800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4099999999998496 " "
y[1] (closed_form) = 1.4954049999998886 " "
y[1] (numeric) = 1.4954050000000574 " "
absolute error = 1.6875389974302380000000000000E-13 " "
relative error = 1.128482917624565700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4199999999998485 " "
y[1] (closed_form) = 1.5028199999998875 " "
y[1] (numeric) = 1.5028200000000573 " "
absolute error = 1.69864122767648950000000000000E-13 " "
relative error = 1.13030251638693710000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4299999999998474 " "
y[1] (closed_form) = 1.5102449999998866 " "
y[1] (numeric) = 1.5102450000000571 " "
absolute error = 1.70530256582424040000000000000E-13 " "
relative error = 1.129156240096387300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4399999999998463 " "
y[1] (closed_form) = 1.5176799999998858 " "
y[1] (numeric) = 1.517680000000057 " "
absolute error = 1.71196390397199140000000000000E-13 " "
relative error = 1.128013747280138300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.449999999999845 " "
y[1] (closed_form) = 1.5251249999998846 " "
y[1] (numeric) = 1.525125000000057 " "
absolute error = 1.7230661342182430000000000000E-13 " "
relative error = 1.129786826796736900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.459999999999844 " "
y[1] (closed_form) = 1.5325799999998837 " "
y[1] (numeric) = 1.5325800000000567 " "
absolute error = 1.7297274723659940000000000000E-13 " "
relative error = 1.128637638730849300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.469999999999843 " "
y[1] (closed_form) = 1.5400449999998829 " "
y[1] (numeric) = 1.5400450000000565 " "
absolute error = 1.73638881051374480000000000000E-13 " "
relative error = 1.127492255430118500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.479999999999842 " "
y[1] (closed_form) = 1.5475199999998819 " "
y[1] (numeric) = 1.5475200000000564 " "
absolute error = 1.7452705947107460000000000000E-13 " "
relative error = 1.12778548562272500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.489999999999841 " "
y[1] (closed_form) = 1.5550049999998807 " "
y[1] (numeric) = 1.5550050000000561 " "
absolute error = 1.75415237890774730000000000000E-13 " "
relative error = 1.128068642163775600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999998397 " "
y[1] (closed_form) = 1.5624999999998797 " "
y[1] (numeric) = 1.562500000000056 " "
absolute error = 1.76303416310474860000000000000E-13 " "
relative error = 1.12834186438712600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5099999999998386 " "
y[1] (closed_form) = 1.5700049999998789 " "
y[1] (numeric) = 1.5700050000000558 " "
absolute error = 1.76969550125249950000000000000E-13 " "
relative error = 1.127190997004873100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5199999999998375 " "
y[1] (closed_form) = 1.5775199999998777 " "
y[1] (numeric) = 1.5775200000000555 " "
absolute error = 1.77857728544950080000000000000E-13 " "
relative error = 1.127451496938003100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5299999999998364 " "
y[1] (closed_form) = 1.5850449999998768 " "
y[1] (numeric) = 1.5850450000000555 " "
absolute error = 1.7874590696465020000000000000E-13 " "
relative error = 1.127702412011419900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5399999999998353 " "
y[1] (closed_form) = 1.5925799999998758 " "
y[1] (numeric) = 1.5925800000000552 " "
absolute error = 1.7941204077942530000000000000E-13 " "
relative error = 1.126549628774939400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.549999999999834 " "
y[1] (closed_form) = 1.6001249999998748 " "
y[1] (numeric) = 1.600125000000055 " "
absolute error = 1.80300219199125420000000000000E-13 " "
relative error = 1.126788339655586400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.559999999999833 " "
y[1] (closed_form) = 1.6076799999998737 " "
y[1] (numeric) = 1.6076800000000548 " "
absolute error = 1.81188397618825550000000000000E-13 " "
relative error = 1.127017799679288100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.569999999999832 " "
y[1] (closed_form) = 1.6152449999998728 " "
y[1] (numeric) = 1.6152450000000547 " "
absolute error = 1.81854531433600640000000000000E-13 " "
relative error = 1.125863453739927900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.579999999999831 " "
y[1] (closed_form) = 1.6228199999998718 " "
y[1] (numeric) = 1.6228200000000543 " "
absolute error = 1.82520665248375740000000000000E-13 " "
relative error = 1.1247129395027800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999998298 " "
y[1] (closed_form) = 1.6304049999998709 " "
y[1] (numeric) = 1.6304050000000543 " "
absolute error = 1.83408843668075860000000000000E-13 " "
relative error = 1.124928123184671300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5999999999998287 " "
y[1] (closed_form) = 1.6379999999998698 " "
y[1] (numeric) = 1.6380000000000539 " "
absolute error = 1.84074977482850950000000000000E-13 " "
relative error = 1.123778861311755700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6099999999998276 " "
y[1] (closed_form) = 1.6456049999998688 " "
y[1] (numeric) = 1.645605000000054 " "
absolute error = 1.8518520050747610000000000000E-13 " "
relative error = 1.12533202383008610000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6199999999998265 " "
y[1] (closed_form) = 1.6532199999998678 " "
y[1] (numeric) = 1.6532200000000536 " "
absolute error = 1.8585133432225120000000000000E-13 " "
relative error = 1.124177873013065800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6299999999998254 " "
y[1] (closed_form) = 1.6608449999998667 " "
y[1] (numeric) = 1.6608450000000536 " "
absolute error = 1.86961557346876360000000000000E-13 " "
relative error = 1.125701419138398500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999998243 " "
y[1] (closed_form) = 1.6684799999998656 " "
y[1] (numeric) = 1.6684800000000535 " "
absolute error = 1.87849735766576500000000000000E-13 " "
relative error = 1.125873464270423500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.649999999999823 " "
y[1] (closed_form) = 1.6761249999998646 " "
y[1] (numeric) = 1.6761250000000534 " "
absolute error = 1.8873791418627660000000000000E-13 " "
relative error = 1.12603722387227590000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.659999999999822 " "
y[1] (closed_form) = 1.6837799999998637 " "
y[1] (numeric) = 1.6837800000000531 " "
absolute error = 1.8940404800105170000000000000E-13 " "
relative error = 1.124874080943276500000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.669999999999821 " "
y[1] (closed_form) = 1.6914449999998626 " "
y[1] (numeric) = 1.6914450000000532 " "
absolute error = 1.90514271025676860000000000000E-13 " "
relative error = 1.126340324549082700000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.67999999999982 " "
y[1] (closed_form) = 1.6991199999998616 " "
y[1] (numeric) = 1.6991200000000528 " "
absolute error = 1.91180404840451960000000000000E-13 " "
relative error = 1.12517305923341210000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6899999999998188 " "
y[1] (closed_form) = 1.7068049999998607 " "
y[1] (numeric) = 1.7068050000000528 " "
absolute error = 1.92068583260152080000000000000E-13 " "
relative error = 1.125310643337509300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6999999999998177 " "
y[1] (closed_form) = 1.7144999999998596 " "
y[1] (numeric) = 1.7145000000000525 " "
absolute error = 1.9295676167985220000000000000E-13 " "
relative error = 1.125440429745511900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7099999999998166 " "
y[1] (closed_form) = 1.7222049999998585 " "
y[1] (numeric) = 1.7222050000000524 " "
absolute error = 1.93844940099552330000000000000E-13 " "
relative error = 1.125562520719474600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7199999999998155 " "
y[1] (closed_form) = 1.7299199999998576 " "
y[1] (numeric) = 1.7299200000000523 " "
absolute error = 1.94733118519252460000000000000E-13 " "
relative error = 1.125677016967654600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999998144 " "
y[1] (closed_form) = 1.7376449999998564 " "
y[1] (numeric) = 1.737645000000052 " "
absolute error = 1.95621296938952580000000000000E-13 " "
relative error = 1.125784017673165400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7399999999998133 " "
y[1] (closed_form) = 1.7453799999998554 " "
y[1] (numeric) = 1.745380000000052 " "
absolute error = 1.9650947535865270000000000000E-13 " "
relative error = 1.12588362052200090000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.749999999999812 " "
y[1] (closed_form) = 1.7531249999998544 " "
y[1] (numeric) = 1.7531250000000518 " "
absolute error = 1.97397653778352830000000000000E-13 " "
relative error = 1.125975921730448400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.759999999999811 " "
y[1] (closed_form) = 1.7608799999998532 " "
y[1] (numeric) = 1.7608800000000515 " "
absolute error = 1.98285832198052960000000000000E-13 " "
relative error = 1.126061016071904400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.76999999999981 " "
y[1] (closed_form) = 1.7686449999998524 " "
y[1] (numeric) = 1.7686450000000513 " "
absolute error = 1.98951966012828050000000000000E-13 " "
relative error = 1.124883546516370900000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.779999999999809 " "
y[1] (closed_form) = 1.7764199999998513 " "
y[1] (numeric) = 1.7764200000000512 " "
absolute error = 1.99840144432528180000000000000E-13 " "
relative error = 1.12496000063354890000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7899999999998077 " "
y[1] (closed_form) = 1.7842049999998502 " "
y[1] (numeric) = 1.784205000000051 " "
absolute error = 2.0072832285222830000000000000E-13 " "
relative error = 1.125029482891512600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7999999999998066 " "
y[1] (closed_form) = 1.7919999999998493 " "
y[1] (numeric) = 1.7920000000000509 " "
absolute error = 2.01616501271928430000000000000E-13 " "
relative error = 1.125092082990766800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8099999999998055 " "
y[1] (closed_form) = 1.7998049999998482 " "
y[1] (numeric) = 1.7998050000000505 " "
absolute error = 2.02282635086703520000000000000E-13 " "
relative error = 1.123914174517353600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8199999999998044 " "
y[1] (closed_form) = 1.807619999999847 " "
y[1] (numeric) = 1.8076200000000504 " "
absolute error = 2.03392858111328680000000000000E-13 " "
relative error = 1.125196988921044600000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8299999999998033 " "
y[1] (closed_form) = 1.8154449999998459 " "
y[1] (numeric) = 1.8154450000000502 " "
absolute error = 2.0428103653102880000000000000E-13 " "
relative error = 1.125239467629403000000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8399999999998022 " "
y[1] (closed_form) = 1.823279999999845 " "
y[1] (numeric) = 1.82328000000005 " "
absolute error = 2.0494717034580390000000000000E-13 " "
relative error = 1.124057579449241800000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.849999999999801 " "
y[1] (closed_form) = 1.8311249999998438 " "
y[1] (numeric) = 1.8311250000000496 " "
absolute error = 2.05835348765504020000000000000E-13 " "
relative error = 1.124092286247643200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8599999999998 " "
y[1] (closed_form) = 1.8389799999998429 " "
y[1] (numeric) = 1.8389800000000496 " "
absolute error = 2.06723527185204150000000000000E-13 " "
relative error = 1.124120584156553100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.869999999999799 " "
y[1] (closed_form) = 1.8468449999998418 " "
y[1] (numeric) = 1.8468450000000491 " "
absolute error = 2.07389660999979240000000000000E-13 " "
relative error = 1.122940262989027300000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.879999999999798 " "
y[1] (closed_form) = 1.8547199999998407 " "
y[1] (numeric) = 1.854720000000049 " "
absolute error = 2.08277839419679370000000000000E-13 " "
relative error = 1.12296109072904400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8899999999997967 " "
y[1] (closed_form) = 1.8626049999998395 " "
y[1] (numeric) = 1.8626050000000487 " "
absolute error = 2.0916601783937950000000000000E-13 " "
relative error = 1.122975713258568100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8999999999997956 " "
y[1] (closed_form) = 1.8704999999998386 " "
y[1] (numeric) = 1.8705000000000485 " "
absolute error = 2.09832151654154600000000000000E-13 " "
relative error = 1.1217971219148501000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9099999999997945 " "
y[1] (closed_form) = 1.8784049999998373 " "
y[1] (numeric) = 1.8784050000000483 " "
absolute error = 2.10942374678779740000000000000E-13 " "
relative error = 1.122986654522310400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999997934 " "
y[1] (closed_form) = 1.8863199999998363 " "
y[1] (numeric) = 1.886320000000048 " "
absolute error = 2.11608508493554840000000000000E-13 " "
relative error = 1.121805995237145400000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9299999999997923 " "
y[1] (closed_form) = 1.8942449999998354 " "
y[1] (numeric) = 1.8942450000000477 " "
absolute error = 2.12274642308329930000000000000E-13 " "
relative error = 1.120629286646386100000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9399999999997912 " "
y[1] (closed_form) = 1.9021799999998343 " "
y[1] (numeric) = 1.9021800000000477 " "
absolute error = 2.13384865332955100000000000000E-13 " "
relative error = 1.121791130876014200000000000E-11 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 14
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.94999999999979 " "
y[1] (closed_form) = 1.910124999999833 " "
y[1] (numeric) = 1.9101250000000474 " "
absolute error = 2.1427304375265520000000000000E-13 " "
relative error = 1.121774982017794400000000000E-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) = 1.918079999999832 " "
y[1] (numeric) = 1.9180800000000473 " "
absolute error = 2.15383266777280370000000000000E-13 " "
relative error = 1.122910758556990600000000000E-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) = 1.926044999999831 " "
y[1] (numeric) = 1.926045000000047 " "
absolute error = 2.16049400592055460000000000000E-13 " "
relative error = 1.121725611769581900000000000E-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) = 1.9340199999998298 " "
y[1] (numeric) = 1.934020000000047 " "
absolute error = 2.17159623616680620000000000000E-13 " "
relative error = 1.122840630483137300000000000E-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) = 1.9420049999998288 " "
y[1] (numeric) = 1.9420050000000468 " "
absolute error = 2.18047802036380740000000000000E-13 " "
relative error = 1.122797325632014200000000000E-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) = 1.9499999999998276 " "
y[1] (numeric) = 1.9500000000000466 " "
absolute error = 2.18935980456080870000000000000E-13 " "
relative error = 1.12274861772359100000000000E-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) = 1.9580049999998268 " "
y[1] (numeric) = 1.9580050000000464 " "
absolute error = 2.19602114270855960000000000000E-13 " "
relative error = 1.1215605387671400000000000E-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) = 1.9660199999998256 " "
y[1] (numeric) = 1.9660200000000463 " "
absolute error = 2.20712337295481120000000000000E-13 " "
relative error = 1.122635259537037700000000000E-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) = 1.9740449999998244 " "
y[1] (numeric) = 1.974045000000046 " "
absolute error = 2.21600515715181250000000000000E-13 " "
relative error = 1.12257074035901400000000000E-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) = 1.9820799999998233 " "
y[1] (numeric) = 1.9820800000000458 " "
absolute error = 2.22488694134881370000000000000E-13 " "
relative error = 1.122501080354482300000000000E-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) = 1.9901249999998223 " "
y[1] (numeric) = 1.9901250000000457 " "
absolute error = 2.2337687255458150000000000000E-13 " "
relative error = 1.122426342840783500000000000E-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) = 1.998179999999821 " "
y[1] (numeric) = 1.9981800000000454 " "
absolute error = 2.24265050974281620000000000000E-13 " "
relative error = 1.12234659026865290000000000E-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) = 2.00624499999982 " "
y[1] (numeric) = 2.006245000000045 " "
absolute error = 2.25153229393981750000000000000E-13 " "
relative error = 1.122261884236481300000000000E-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) = 2.014319999999819 " "
y[1] (numeric) = 2.014320000000045 " "
absolute error = 2.26041407813681870000000000000E-13 " "
relative error = 1.122172285504300200000000000E-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) = 2.022404999999818 " "
y[1] (numeric) = 2.022405000000045 " "
absolute error = 2.269295862333820000000000000E-13 " "
relative error = 1.122077854007493100000000000E-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) = 2.0304999999998166 " "
y[1] (numeric) = 2.0305000000000444 " "
absolute error = 2.2781776465308212000000000000E-13 " "
relative error = 1.121978648870242300000000000E-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) = 2.0386049999998157 " "
y[1] (numeric) = 2.0386050000000444 " "
absolute error = 2.28705943072782250000000000000E-13 " "
relative error = 1.121874728418712500000000000E-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) = 2.0467199999998145 " "
y[1] (numeric) = 2.046720000000044 " "
absolute error = 2.29594121492482370000000000000E-13 " "
relative error = 1.121766150193984300000000000E-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) = 2.0548449999998133 " "
y[1] (numeric) = 2.0548450000000438 " "
absolute error = 2.3048229991218250000000000000E-13 " "
relative error = 1.121652970964736600000000000E-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) = 2.062979999999812 " "
y[1] (numeric) = 2.0629800000000436 " "
absolute error = 2.3137047833188262000000000000E-13 " "
relative error = 1.121535246739685700000000000E-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) = 2.071124999999811 " "
y[1] (numeric) = 2.0711250000000434 " "
absolute error = 2.32258656751582750000000000000E-13 " "
relative error = 1.121413032779788300000000000E-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) = 2.0792799999998097 " "
y[1] (numeric) = 2.079280000000043 " "
absolute error = 2.33146835171282870000000000000E-13 " "
relative error = 1.121286383610212200000000000E-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) = 2.087444999999809 " "
y[1] (numeric) = 2.087445000000043 " "
absolute error = 2.340350135909830000000000000E-13 " "
relative error = 1.121155353032077100000000000E-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) = 2.0956199999998075 " "
y[1] (numeric) = 2.0956200000000424 " "
absolute error = 2.3492319201068312000000000000E-13 " "
relative error = 1.121019994133978100000000000E-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) = 2.1038049999998067 " "
y[1] (numeric) = 2.103805000000042 " "
absolute error = 2.3536728122053320000000000000E-13 " "
relative error = 1.118769473504221300000000000E-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) = 2.1119999999998056 " "
y[1] (numeric) = 2.112000000000042 " "
absolute error = 2.3625545964023330000000000000E-13 " "
relative error = 1.11863380511484400000000000E-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) = 2.120204999999804 " "
y[1] (numeric) = 2.1202050000000416 " "
absolute error = 2.3758772726978350000000000000E-13 " "
relative error = 1.120588467953832100000000000E-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) = 2.128419999999803 " "
y[1] (numeric) = 2.1284200000000415 " "
absolute error = 2.3847590568948362000000000000E-13 " "
relative error = 1.120436312802481200000000000E-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) = 2.136644999999802 " "
y[1] (numeric) = 2.136645000000041 " "
absolute error = 2.3891999489933370000000000000E-13 " "
relative error = 1.118201642759353200000000000E-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) = 2.1448799999998007 " "
y[1] (numeric) = 2.144880000000041 " "
absolute error = 2.4025226252888388000000000000E-13 " "
relative error = 1.120119832013474900000000000E-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) = 2.1531249999997994 " "
y[1] (numeric) = 2.1531250000000406 " "
absolute error = 2.411404409485840000000000000E-13 " "
relative error = 1.11995560382516790000000000E-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) = 2.1613799999997987 " "
y[1] (numeric) = 2.1613800000000403 " "
absolute error = 2.41584530158434060000000000000E-13 " "
relative error = 1.117732791820302700000000000E-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) = 2.1696449999997975 " "
y[1] (numeric) = 2.16964500000004 " "
absolute error = 2.4247270857813420000000000000E-13 " "
relative error = 1.117568581856279900000000000E-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) = 2.177919999999796 " "
y[1] (numeric) = 2.17792000000004 " "
absolute error = 2.4380497620768438000000000000E-13 " "
relative error = 1.119439539596069800000000000E-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) = 2.186204999999795 " "
y[1] (numeric) = 2.1862050000000393 " "
absolute error = 2.44249065417534440000000000000E-13 " "
relative error = 1.117228555499403500000000000E-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) = 2.1944999999997936 " "
y[1] (numeric) = 2.194500000000039 " "
absolute error = 2.45581333047084630000000000000E-13 " "
relative error = 1.119076477772192900000000000E-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) = 2.2028049999997927 " "
y[1] (numeric) = 2.2028050000000388 " "
absolute error = 2.4602542225693470000000000000E-13 " "
relative error = 1.116873360360802900000000000E-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) = 2.2111199999997915 " "
y[1] (numeric) = 2.2111200000000384 " "
absolute error = 2.4691360067663481000000000000E-13 " "
relative error = 1.11669018722031400000000000E-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) = 2.2194449999997903 " "
y[1] (numeric) = 2.219445000000038 " "
absolute error = 2.47801779096334940000000000000E-13 " "
relative error = 1.116503356002777000000000000E-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) = 2.227779999999789 " "
y[1] (numeric) = 2.227780000000038 " "
absolute error = 2.48689957516035070000000000000E-13 " "
relative error = 1.11631291023376900000000000E-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) = 2.236124999999788 " "
y[1] (numeric) = 2.236125000000037 " "
absolute error = 2.49134046725885130000000000000E-13 " "
relative error = 1.114132916209553400000000000E-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) = 2.244479999999787 " "
y[1] (numeric) = 2.244480000000037 " "
absolute error = 2.50022225145585250000000000000E-13 " "
relative error = 1.113942762446575600000000000E-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) = 2.2528449999997857 " "
y[1] (numeric) = 2.2528450000000366 " "
absolute error = 2.5091040356528540000000000000E-13 " "
relative error = 1.113749075348322800000000000E-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) = 2.2612199999997844 " "
y[1] (numeric) = 2.261220000000036 " "
absolute error = 2.5179858198498550000000000000E-13 " "
relative error = 1.113551896697400000000000000E-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) = 2.2696049999997836 " "
y[1] (numeric) = 2.269605000000036 " "
absolute error = 2.52242671194835570000000000000E-13 " "
relative error = 1.111394587141196800000000000E-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) = 2.277999999999782 " "
y[1] (numeric) = 2.2780000000000356 " "
absolute error = 2.53574938824385750000000000000E-13 " "
relative error = 1.113147229255531300000000000E-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) = 2.286404999999781 " "
y[1] (numeric) = 2.2864050000000353 " "
absolute error = 2.5446311724408590000000000000E-13 " "
relative error = 1.112939821440690900000000000E-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) = 2.29481999999978 " "
y[1] (numeric) = 2.2948200000000347 " "
absolute error = 2.54907206453935940000000000000E-13 " "
relative error = 1.110793903024901300000000000E-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) = 2.3032449999997784 " "
y[1] (numeric) = 2.3032450000000346 " "
absolute error = 2.56239474083486130000000000000E-13 " "
relative error = 1.112515056294535600000000000E-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) = 2.3116799999997775 " "
y[1] (numeric) = 2.3116800000000346 " "
absolute error = 2.57127652503186250000000000000E-13 " "
relative error = 1.112297776955335500000000000E-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) = 2.320124999999776 " "
y[1] (numeric) = 2.320125000000034 " "
absolute error = 2.5801583092288640000000000000E-13 " "
relative error = 1.112077284296799800000000000E-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) = 2.328579999999775 " "
y[1] (numeric) = 2.3285800000000343 " "
absolute error = 2.59348098552436570000000000000E-13 " "
relative error = 1.113760740676556600000000000E-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) = 2.3370449999997738 " "
y[1] (numeric) = 2.337045000000034 " "
absolute error = 2.6023627697213670000000000000E-13 " "
relative error = 1.113527026532060300000000000E-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) = 2.3455199999997727 " "
y[1] (numeric) = 2.345520000000034 " "
absolute error = 2.6112445539183680000000000000E-13 " "
relative error = 1.113290252872975300000000000E-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) = 2.3540049999997716 " "
y[1] (numeric) = 2.3540050000000337 " "
absolute error = 2.62012633811536940000000000000E-13 " "
relative error = 1.113050455761828700000000000E-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) = 2.3624999999997702 " "
y[1] (numeric) = 2.3625000000000336 " "
absolute error = 2.63344901441087130000000000000E-13 " "
relative error = 1.114687413507355500000000000E-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) = 2.371004999999769 " "
y[1] (numeric) = 2.371005000000033 " "
absolute error = 2.64233079860787260000000000000E-13 " "
relative error = 1.114434933122507300000000000E-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) = 2.3795199999997676 " "
y[1] (numeric) = 2.379520000000033 " "
absolute error = 2.65565347490337440000000000000E-13 " "
relative error = 1.116045872656516400000000000E-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) = 2.3880449999997664 " "
y[1] (numeric) = 2.388045000000033 " "
absolute error = 2.66453525910037570000000000000E-13 " "
relative error = 1.115781008775226700000000000E-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) = 2.3965799999997652 " "
y[1] (numeric) = 2.3965800000000326 " "
absolute error = 2.6734170432973770000000000000E-13 " "
relative error = 1.115513374599487000000000000E-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) = 2.405124999999764 " "
y[1] (numeric) = 2.4051250000000324 " "
absolute error = 2.6822988274943780000000000000E-13 " "
relative error = 1.115243002960195900000000000E-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) = 2.413679999999763 " "
y[1] (numeric) = 2.4136800000000322 " "
absolute error = 2.69118061169137950000000000000E-13 " "
relative error = 1.114969926291655700000000000E-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) = 2.4222449999997617 " "
y[1] (numeric) = 2.422245000000032 " "
absolute error = 2.70450328798688130000000000000E-13 " "
relative error = 1.11652755521722500000000000E-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) = 2.4308199999997604 " "
y[1] (numeric) = 2.4308200000000317 " "
absolute error = 2.71338507218388260000000000000E-13 " "
relative error = 1.116242696778926600000000000E-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) = 2.439404999999759 " "
y[1] (numeric) = 2.439405000000032 " "
absolute error = 2.72670774847938450000000000000E-13 " "
relative error = 1.117775747971187200000000000E-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) = 2.447999999999758 " "
y[1] (numeric) = 2.4480000000000315 " "
absolute error = 2.73558953267638570000000000000E-13 " "
relative error = 1.1174793842633399000000000E-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) = 2.456604999999757 " "
y[1] (numeric) = 2.4566050000000312 " "
absolute error = 2.7444713168733870000000000000E-13 " "
relative error = 1.117180546678712600000000000E-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) = 2.4652199999997557 " "
y[1] (numeric) = 2.465220000000031 " "
absolute error = 2.7533531010703880000000000000E-13 " "
relative error = 1.116879264759600000000000E-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) = 2.4738449999997543 " "
y[1] (numeric) = 2.473845000000031 " "
absolute error = 2.766675777365890000000000000E-13 " "
relative error = 1.118370705264947900000000000E-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) = 2.482479999999753 " "
y[1] (numeric) = 2.4824800000000304 " "
absolute error = 2.77555756156289140000000000000E-13 " "
relative error = 1.11805837773644400000000000E-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) = 2.491124999999752 " "
y[1] (numeric) = 2.4911250000000305 " "
absolute error = 2.78443934575989260000000000000E-13 " "
relative error = 1.117743728540386300000000000E-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) = 2.4997799999997508 " "
y[1] (numeric) = 2.49978000000003 " "
absolute error = 2.7933211299568940000000000000E-13 " "
relative error = 1.117426785539996500000000000E-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) = 2.5084449999997496 " "
y[1] (numeric) = 2.50844500000003 " "
absolute error = 2.8022029141538950000000000000E-13 " "
relative error = 1.117107576269033100000000000E-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) = 2.517119999999748 " "
y[1] (numeric) = 2.5171200000000296 " "
absolute error = 2.8155255904493970000000000000E-13 " "
relative error = 1.118550403019990700000000000E-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) = 2.525804999999747 " "
y[1] (numeric) = 2.5258050000000294 " "
absolute error = 2.8244073746463980000000000000E-13 " "
relative error = 1.118220676040581800000000000E-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) = 2.5344999999997455 " "
y[1] (numeric) = 2.534500000000029 " "
absolute error = 2.83328915884339950000000000000E-13 " "
relative error = 1.117888798123371100000000000E-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) = 2.5432049999997446 " "
y[1] (numeric) = 2.543205000000029 " "
absolute error = 2.84217094304040100000000000000E-13 " "
relative error = 1.11755479524485300000000000E-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) = 2.5519199999997433 " "
y[1] (numeric) = 2.5519200000000284 " "
absolute error = 2.8510527272374020000000000000E-13 " "
relative error = 1.117218693077247200000000000E-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) = 2.5606449999997416 " "
y[1] (numeric) = 2.560645000000028 " "
absolute error = 2.8643754035329040000000000000E-13 " "
relative error = 1.118614803509737900000000000E-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) = 2.5693799999997404 " "
y[1] (numeric) = 2.5693800000000278 " "
absolute error = 2.8732571877299050000000000000E-13 " "
relative error = 1.118268682612223900000000000E-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) = 2.5781249999997393 " "
y[1] (numeric) = 2.5781250000000275 " "
absolute error = 2.88213897192690640000000000000E-13 " "
relative error = 1.117920570929337300000000000E-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) = 2.586879999999738 " "
y[1] (numeric) = 2.5868800000000274 " "
absolute error = 2.89546164822240800000000000000E-13 " "
relative error = 1.119287190833243900000000000E-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) = 2.595644999999737 " "
y[1] (numeric) = 2.595645000000027 " "
absolute error = 2.8999025403209090000000000000E-13 " "
relative error = 1.117218471833090900000000000E-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) = 2.6044199999997355 " "
y[1] (numeric) = 2.604420000000027 " "
absolute error = 2.9132252166164110000000000000E-13 " "
relative error = 1.11856966872344200000000000E-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) = 2.613204999999734 " "
y[1] (numeric) = 2.6132050000000264 " "
absolute error = 2.9221070008134120000000000000E-13 " "
relative error = 1.11820810109184300000000000E-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) = 2.621999999999733 " "
y[1] (numeric) = 2.622000000000026 " "
absolute error = 2.93098878501041300000000000000E-13 " "
relative error = 1.117844692986541400000000000E-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) = 2.630804999999732 " "
y[1] (numeric) = 2.630805000000026 " "
absolute error = 2.93987056920741450000000000000E-13 " "
relative error = 1.117479467010179100000000000E-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) = 2.6396199999997307 " "
y[1] (numeric) = 2.6396200000000256 " "
absolute error = 2.9487523534044160000000000000E-13 " "
relative error = 1.117112445505306200000000000E-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) = 2.6484449999997293 " "
y[1] (numeric) = 2.648445000000025 " "
absolute error = 2.9576341376014170000000000000E-13 " "
relative error = 1.116743650557862900000000000E-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) = 2.657279999999728 " "
y[1] (numeric) = 2.657280000000025 " "
absolute error = 2.9709568138969190000000000000E-13 " "
relative error = 1.118044321222160500000000000E-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) = 2.6661249999997265 " "
y[1] (numeric) = 2.6661250000000245 " "
absolute error = 2.979838598093920000000000000E-13 " "
relative error = 1.117666500293206700000000000E-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) = 2.6749799999997252 " "
y[1] (numeric) = 2.674980000000024 " "
absolute error = 2.98872038229092140000000000000E-13 " "
relative error = 1.11728700113317790000000000E-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) = 2.683844999999724 " "
y[1] (numeric) = 2.683845000000024 " "
absolute error = 2.99760216648792270000000000000E-13 " "
relative error = 1.116905844595433300000000000E-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) = 2.692719999999723 " "
y[1] (numeric) = 2.6927200000000235 " "
absolute error = 3.0064839506849240000000000000E-13 " "
relative error = 1.116523051295802600000000000E-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) = 2.7016049999997214 " "
y[1] (numeric) = 2.701605000000023 " "
absolute error = 3.0153657348819250000000000000E-13 " "
relative error = 1.116138641615719600000000000E-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) = 2.71049999999972 " "
y[1] (numeric) = 2.710500000000023 " "
absolute error = 3.0286884111774270000000000000E-13 " "
relative error = 1.117391038988282500000000000E-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) = 2.719404999999719 " "
y[1] (numeric) = 2.7194050000000223 " "
absolute error = 3.03312930327592770000000000000E-13 " "
relative error = 1.115365053486421200000000000E-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) = 2.7283199999997176 " "
y[1] (numeric) = 2.728320000000022 " "
absolute error = 3.0420110874729290000000000000E-13 " "
relative error = 1.114975914655628200000000000E-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) = 2.7372449999997164 " "
y[1] (numeric) = 2.7372450000000215 " "
absolute error = 3.050892871669930000000000000E-13 " "
relative error = 1.114585238687164000000000000E-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) = 2.7461799999997147 " "
y[1] (numeric) = 2.746180000000021 " "
absolute error = 3.0642155479654320000000000000E-13 " "
relative error = 1.115810161011204600000000000E-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) = 2.7551249999997136 " "
y[1] (numeric) = 2.755125000000021 " "
absolute error = 3.07309733216243330000000000000E-13 " "
relative error = 1.115411218061885700000000000E-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) = 2.764079999999712 " "
y[1] (numeric) = 2.7640800000000203 " "
absolute error = 3.08197911635943460000000000000E-13 " "
relative error = 1.115010823261177500000000000E-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) = 2.773044999999711 " "
y[1] (numeric) = 2.77304500000002 " "
absolute error = 3.0908609005564360000000000000E-13 " "
relative error = 1.114608995006124300000000000E-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) = 2.7820199999997097 " "
y[1] (numeric) = 2.7820200000000197 " "
absolute error = 3.0997426847534370000000000000E-13 " "
relative error = 1.114205751487681700000000000E-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) = 2.7910049999997084 " "
y[1] (numeric) = 2.7910050000000193 " "
absolute error = 3.10862446895043830000000000000E-13 " "
relative error = 1.11380111069337500000000000E-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) = 2.799999999999707 " "
y[1] (numeric) = 2.800000000000019 " "
absolute error = 3.11750625314743960000000000000E-13 " "
relative error = 1.113395090409916400000000000E-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) = 2.8090049999997095 " "
y[1] (numeric) = 2.8090050000000186 " "
absolute error = 3.0908609005564360000000000000E-13 " "
relative error = 1.100340120632307700000000000E-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) = 2.818019999999712 " "
y[1] (numeric) = 2.818020000000018 " "
absolute error = 3.05977465586693140000000000000E-13 " "
relative error = 1.085788836086062000000000000E-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) = 2.827044999999715 " "
y[1] (numeric) = 2.827045000000018 " "
absolute error = 3.0286884111774270000000000000E-13 " "
relative error = 1.071326565787857200000000000E-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) = 2.8360799999997175 " "
y[1] (numeric) = 2.8360800000000173 " "
absolute error = 2.99760216648792270000000000000E-13 " "
relative error = 1.056952612933422500000000000E-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) = 2.84512499999972 " "
y[1] (numeric) = 2.845125000000017 " "
absolute error = 2.96651592179841800000000000000E-13 " "
relative error = 1.042666287702196000000000000E-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) = 2.854179999999723 " "
y[1] (numeric) = 2.854180000000017 " "
absolute error = 2.93987056920741450000000000000E-13 " "
relative error = 1.030022832900412700000000000E-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) = 2.8632449999997256 " "
y[1] (numeric) = 2.8632450000000165 " "
absolute error = 2.908784324517910000000000000E-13 " "
relative error = 1.015904794915625100000000000E-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) = 2.8723199999997284 " "
y[1] (numeric) = 2.872320000000016 " "
absolute error = 2.8776980798284060000000000000E-13 " "
relative error = 1.001872381847662400000000000E-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) = 2.881404999999731 " "
y[1] (numeric) = 2.881405000000016 " "
absolute error = 2.8510527272374020000000000000E-13 " "
relative error = 9.8946615530884010000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999707 " "
y[1] (closed_form) = 2.890499999999734 " "
y[1] (numeric) = 2.890500000000016 " "
absolute error = 2.81996648254789760000000000000E-13 " "
relative error = 9.755981603695407000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999710 " "
y[1] (closed_form) = 2.8996049999997364 " "
y[1] (numeric) = 2.8996050000000158 " "
absolute error = 2.7933211299568940000000000000E-13 " "
relative error = 9.63345397030680900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999714 " "
y[1] (closed_form) = 2.9087199999997395 " "
y[1] (numeric) = 2.9087200000000153 " "
absolute error = 2.7577939931688890000000000000E-13 " "
relative error = 9.481125695045023000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1299999999997175 " "
y[1] (closed_form) = 2.9178449999997422 " "
y[1] (numeric) = 2.9178450000000153 " "
absolute error = 2.7311486405778850000000000000E-13 " "
relative error = 9.360156692963904000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999720 " "
y[1] (closed_form) = 2.926979999999745 " "
y[1] (numeric) = 2.926980000000015 " "
absolute error = 2.70006239588838070000000000000E-13 " "
relative error = 9.224738111940006000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999724 " "
y[1] (closed_form) = 2.9361249999997474 " "
y[1] (numeric) = 2.9361250000000148 " "
absolute error = 2.6734170432973770000000000000E-13 " "
relative error = 9.10525622477792000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1599999999997275 " "
y[1] (closed_form) = 2.9452799999997503 " "
y[1] (numeric) = 2.9452800000000146 " "
absolute error = 2.64233079860787260000000000000E-13 " "
relative error = 8.97140780709507000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.169999999999730 " "
y[1] (closed_form) = 2.9544449999997533 " "
y[1] (numeric) = 2.9544450000000144 " "
absolute error = 2.6112445539183680000000000000E-13 " "
relative error = 8.838358994391793000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999734 " "
y[1] (closed_form) = 2.963619999999756 " "
y[1] (numeric) = 2.963620000000014 " "
absolute error = 2.5801583092288640000000000000E-13 " "
relative error = 8.706103715149298000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1899999999997375 " "
y[1] (closed_form) = 2.9728049999997586 " "
y[1] (numeric) = 2.972805000000014 " "
absolute error = 2.553512956637860000000000000E-13 " "
relative error = 8.58957434691501000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999740 " "
y[1] (closed_form) = 2.9819999999997617 " "
y[1] (numeric) = 2.9820000000000135 " "
absolute error = 2.5179858198498550000000000000E-13 " "
relative error = 8.443949764755386000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.209999999999744 " "
y[1] (closed_form) = 2.9912049999997645 " "
y[1] (numeric) = 2.991205000000013 " "
absolute error = 2.48689957516035070000000000000E-13 " "
relative error = 8.31403924224700900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2199999999997475 " "
y[1] (closed_form) = 3.0004199999997674 " "
y[1] (numeric) = 3.000420000000013 " "
absolute error = 2.45581333047084630000000000000E-13 " "
relative error = 8.18489854910658100000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999750 " "
y[1] (closed_form) = 3.00964499999977 " "
y[1] (numeric) = 3.009645000000013 " "
absolute error = 2.42916797787984250000000000000E-13 " "
relative error = 8.071277435976761000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999754 " "
y[1] (closed_form) = 3.018879999999773 " "
y[1] (numeric) = 3.018880000000012 " "
absolute error = 2.39364084109183750000000000000E-13 " "
relative error = 7.928903570503026000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2499999999997575 " "
y[1] (closed_form) = 3.028124999999776 " "
y[1] (numeric) = 3.028125000000012 " "
absolute error = 2.3625545964023330000000000000E-13 " "
relative error = 7.802037882856578000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999760 " "
y[1] (closed_form) = 3.0373799999997786 " "
y[1] (numeric) = 3.0373800000000117 " "
absolute error = 2.33146835171282870000000000000E-13 " "
relative error = 7.675919218909055000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.269999999999764 " "
y[1] (closed_form) = 3.0466449999997813 " "
y[1] (numeric) = 3.0466450000000114 " "
absolute error = 2.30038210702332440000000000000E-13 " "
relative error = 7.55054201268440900000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2799999999997675 " "
y[1] (closed_form) = 3.0559199999997846 " "
y[1] (numeric) = 3.055920000000011 " "
absolute error = 2.26485497023531930000000000000E-13 " "
relative error = 7.411368655709178000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999770 " "
y[1] (closed_form) = 3.0652049999997875 " "
y[1] (numeric) = 3.065205000000011 " "
absolute error = 2.2337687255458150000000000000E-13 " "
relative error = 7.287501898065446000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999774 " "
y[1] (closed_form) = 3.07449999999979 " "
y[1] (numeric) = 3.0745000000000107 " "
absolute error = 2.20712337295481120000000000000E-13 " "
relative error = 7.178804270466619000000000000E-12 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 15
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.309999999999778 " "
y[1] (closed_form) = 3.083804999999793 " "
y[1] (numeric) = 3.08380500000001 " "
absolute error = 2.17159623616680620000000000000E-13 " "
relative error = 7.041937593871701000000000000E-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) = 3.093119999999796 " "
y[1] (numeric) = 3.09312000000001 " "
absolute error = 2.14050999147730180000000000000E-13 " "
relative error = 6.920229384819997000000000000E-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) = 3.1024449999997987 " "
y[1] (numeric) = 3.1024450000000097 " "
absolute error = 2.10942374678779740000000000000E-13 " "
relative error = 6.7992301129848700000000000000E-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) = 3.1117799999998015 " "
y[1] (numeric) = 3.1117800000000093 " "
absolute error = 2.0783375020982930000000000000E-13 " "
relative error = 6.6789345715263470000000000000E-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) = 3.1211249999998047 " "
y[1] (numeric) = 3.1211250000000095 " "
absolute error = 2.04725125740878870000000000000E-13 " "
relative error = 6.55933760233543000000000000E-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) = 3.1304799999998076 " "
y[1] (numeric) = 3.1304800000000093 " "
absolute error = 2.01616501271928430000000000000E-13 " "
relative error = 6.440434095472286000000000000E-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) = 3.13984499999981 " "
y[1] (numeric) = 3.139845000000009 " "
absolute error = 1.98951966012828050000000000000E-13 " "
relative error = 6.336362655253367000000000000E-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) = 3.149219999999813 " "
y[1] (numeric) = 3.149220000000009 " "
absolute error = 1.95843341543877600000000000000E-13 " "
relative error = 6.218788828468295000000000000E-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) = 3.1586049999998163 " "
y[1] (numeric) = 3.158605000000009 " "
absolute error = 1.92734717074927180000000000000E-13 " "
relative error = 6.101893623132312000000000000E-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) = 3.167999999999819 " "
y[1] (numeric) = 3.1680000000000086 " "
absolute error = 1.89626092605976740000000000000E-13 " "
relative error = 5.985672115087991000000000000E-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) = 3.177404999999822 " "
y[1] (numeric) = 3.1774050000000087 " "
absolute error = 1.8651746813702630000000000000E-13 " "
relative error = 5.870119425664551000000000000E-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) = 3.186819999999825 " "
y[1] (numeric) = 3.1868200000000084 " "
absolute error = 1.83408843668075860000000000000E-13 " "
relative error = 5.755230721160465000000000000E-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) = 3.196244999999828 " "
y[1] (numeric) = 3.196245000000008 " "
absolute error = 1.80300219199125420000000000000E-13 " "
relative error = 5.64100121233307000000000000E-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) = 3.2056799999998313 " "
y[1] (numeric) = 3.205680000000008 " "
absolute error = 1.76747505520324920000000000000E-13 " "
relative error = 5.513572955514406000000000000E-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) = 3.215124999999834 " "
y[1] (numeric) = 3.215125000000008 " "
absolute error = 1.74082970261224550000000000000E-13 " "
relative error = 5.414500844017994000000000000E-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) = 3.224579999999837 " "
y[1] (numeric) = 3.224580000000008 " "
absolute error = 1.7097434579227410000000000000E-13 " "
relative error = 5.30222062384195000000000000E-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) = 3.23404499999984 " "
y[1] (numeric) = 3.2340450000000076 " "
absolute error = 1.6742163211347360000000000000E-13 " "
relative error = 5.1768491815507180000000000000E-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) = 3.243519999999843 " "
y[1] (numeric) = 3.2435200000000077 " "
absolute error = 1.64757096854373230000000000000E-13 " "
relative error = 5.079577029103604000000000000E-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) = 3.2530049999998463 " "
y[1] (numeric) = 3.2530050000000075 " "
absolute error = 1.61204383175572730000000000000E-13 " "
relative error = 4.9555528865027987000000000000E-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) = 3.262499999999849 " "
y[1] (numeric) = 3.2625000000000073 " "
absolute error = 1.5809575870662230000000000000E-13 " "
relative error = 4.845847010164892000000000000E-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) = 3.2720049999998517 " "
y[1] (numeric) = 3.272005000000007 " "
absolute error = 1.55431223447521920000000000000E-13 " "
relative error = 4.750335755829498000000000000E-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) = 3.2815199999998548 " "
y[1] (numeric) = 3.281520000000007 " "
absolute error = 1.52322598978571480000000000000E-13 " "
relative error = 4.641830583954333300000000000E-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) = 3.2910449999998583 " "
y[1] (numeric) = 3.2910450000000067 " "
absolute error = 1.48325796089920900000000000000E-13 " "
relative error = 4.5069513206269524000000000000E-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) = 3.300579999999861 " "
y[1] (numeric) = 3.3005800000000067 " "
absolute error = 1.45661260830820540000000000000E-13 " "
relative error = 4.413201947258562000000000000E-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) = 3.3101249999998643 " "
y[1] (numeric) = 3.3101250000000064 " "
absolute error = 1.42108547152020040000000000000E-13 " "
relative error = 4.293147453707212000000000000E-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) = 3.319679999999867 " "
y[1] (numeric) = 3.319680000000006 " "
absolute error = 1.3899992268306960000000000000E-13 " "
relative error = 4.187148239681992600000000000E-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) = 3.3292449999998706 " "
y[1] (numeric) = 3.329245000000006 " "
absolute error = 1.3544720900426910000000000000E-13 " "
relative error = 4.068406170296099000000000000E-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) = 3.338819999999873 " "
y[1] (numeric) = 3.338820000000006 " "
absolute error = 1.32782673745168720000000000000E-13 " "
relative error = 3.976934178697078000000000000E-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) = 3.348404999999876 " "
y[1] (numeric) = 3.3484050000000054 " "
absolute error = 1.29229960066368220000000000000E-13 " "
relative error = 3.85944830647347000000000000E-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) = 3.3579999999998797 " "
y[1] (numeric) = 3.3580000000000054 " "
absolute error = 1.25677246387567720000000000000E-13 " "
relative error = 3.742621988909237700000000000E-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) = 3.3676049999998825 " "
y[1] (numeric) = 3.367605000000005 " "
absolute error = 1.22568621918617280000000000000E-13 " "
relative error = 3.639637722316647600000000000E-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) = 3.3772199999998858 " "
y[1] (numeric) = 3.3772200000000048 " "
absolute error = 1.19015908239816780000000000000E-13 " "
relative error = 3.5240792201817110000000000000E-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) = 3.386844999999889 " "
y[1] (numeric) = 3.3868450000000045 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 3.4091667779606110000000000000E-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) = 3.396479999999892 " "
y[1] (numeric) = 3.396480000000005 " "
absolute error = 1.1279865930191590000000000000E-13 " "
relative error = 3.3210458857970454000000000000E-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) = 3.406124999999895 " "
y[1] (numeric) = 3.4061250000000047 " "
absolute error = 1.09690034832965470000000000000E-13 " "
relative error = 3.2203760822920136000000000000E-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) = 3.415779999999898 " "
y[1] (numeric) = 3.4157800000000047 " "
absolute error = 1.06581410364015030000000000000E-13 " "
relative error = 3.120265660084028000000000000E-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) = 3.4254449999999013 " "
y[1] (numeric) = 3.4254450000000047 " "
absolute error = 1.03472785895064590000000000000E-13 " "
relative error = 3.0207107659024620000000000000E-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) = 3.4351199999999045 " "
y[1] (numeric) = 3.435120000000005 " "
absolute error = 1.00364161426114150000000000000E-13 " "
relative error = 2.921707580117054000000000000E-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) = 3.4448049999999073 " "
y[1] (numeric) = 3.4448050000000046 " "
absolute error = 9.72555369571637100000000000000E-14 " "
relative error = 2.823252316376873000000000000E-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) = 3.4544999999999106 " "
y[1] (numeric) = 3.454500000000005 " "
absolute error = 9.41469124882132700000000000000E-14 " "
relative error = 2.7253412212538924000000000000E-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) = 3.4642049999999136 " "
y[1] (numeric) = 3.4642050000000046 " "
absolute error = 9.10382880192628400000000000000E-14 " "
relative error = 2.6279705738911263000000000000E-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) = 3.473919999999917 " "
y[1] (numeric) = 3.4739200000000046 " "
absolute error = 8.74855743404623400000000000000E-14 " "
relative error = 2.518353167040819400000000000E-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) = 3.48364499999992 " "
y[1] (numeric) = 3.4836450000000045 " "
absolute error = 8.4376949871511900000000000000E-14 " "
relative error = 2.422088067857483300000000000E-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) = 3.4933799999999233 " "
y[1] (numeric) = 3.4933800000000046 " "
absolute error = 8.12683254025614600000000000000E-14 " "
relative error = 2.3263522835352365000000000000E-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) = 3.5031249999999265 " "
y[1] (numeric) = 3.5031250000000043 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2184652766818938000000000000E-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) = 3.51287999999993 " "
y[1] (numeric) = 3.5128800000000044 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 2.1238125769969945000000000000E-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) = 3.5226449999999327 " "
y[1] (numeric) = 3.5226450000000042 " "
absolute error = 7.14983627858600800000000000000E-14 " "
relative error = 2.0296783464090604000000000000E-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) = 3.532419999999936 " "
y[1] (numeric) = 3.532420000000004 " "
absolute error = 6.79456491070595800000000000000E-14 " "
relative error = 1.923487272381563000000000000E-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) = 3.542204999999939 " "
y[1] (numeric) = 3.542205000000004 " "
absolute error = 6.48370246381091400000000000000E-14 " "
relative error = 1.830414237406086000000000000E-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) = 3.5519999999999428 " "
y[1] (numeric) = 3.552000000000004 " "
absolute error = 6.12843109593086400000000000000E-14 " "
relative error = 1.7253465923229064000000000000E-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) = 3.5618049999999455 " "
y[1] (numeric) = 3.561805000000004 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.6457884611933885000000000000E-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) = 3.5716199999999487 " "
y[1] (numeric) = 3.571620000000004 " "
absolute error = 5.506706202140776000000000000000E-14 " "
relative error = 1.5417950963822735000000000000E-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) = 3.581444999999952 " "
y[1] (numeric) = 3.581445000000004 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 1.450767429137067000000000000E-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) = 3.5912799999999554 " "
y[1] (numeric) = 3.591280000000004 " "
absolute error = 4.840572387365682500000000000000E-14 " "
relative error = 1.3478682774291456000000000000E-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) = 3.601124999999959 " "
y[1] (numeric) = 3.6011250000000037 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 1.2455277224438707000000000000E-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) = 3.610979999999962 " "
y[1] (numeric) = 3.6109800000000036 " "
absolute error = 4.174438572590588600000000000000E-14 " "
relative error = 1.1560403471053932000000000000E-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) = 3.6208449999999655 " "
y[1] (numeric) = 3.6208450000000036 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.0547723541633443000000000000E-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) = 3.630719999999968 " "
y[1] (numeric) = 3.6307200000000033 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 9.6628348036078930000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.889999999999971 " "
y[1] (closed_form) = 3.6406049999999714 " "
y[1] (numeric) = 3.6406050000000034 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 8.7827224071836310000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.899999999999975 " "
y[1] (closed_form) = 3.650499999999975 " "
y[1] (numeric) = 3.650500000000003 " "
absolute error = 2.797762022055394500000000000000E-14 " "
relative error = 7.6640515602120630000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.909999999999978 " "
y[1] (closed_form) = 3.660404999999978 " "
y[1] (numeric) = 3.660405000000003 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 6.7940557811508980000000000000E-13 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 16
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.919999999999981 " "
y[1] (closed_form) = 3.6703199999999816 " "
y[1] (numeric) = 3.670320000000003 " "
absolute error = 2.131628207280300600000000000000E-14 " "
relative error = 5.8077448486244010000000000000E-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) = 3.680244999999985 " "
y[1] (numeric) = 3.680245000000003 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 4.8267352836570876000000000000E-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) = 3.6901799999999882 " "
y[1] (numeric) = 3.690180000000003 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 3.9713357952869816000000000000E-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) = 3.7001249999999914 " "
y[1] (numeric) = 3.700125000000003 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 3.1205214570052780000000000000E-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) = 3.7100799999999947 " "
y[1] (numeric) = 3.710080000000003 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 2.27426227659543760000000000000E-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) = 3.720044999999998 " "
y[1] (numeric) = 3.7200450000000034 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.4325285092521070000000000000E-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) = 3.7300200000000014 " "
y[1] (numeric) = 3.730020000000003 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 4.76232524061600160000000000000E-14 "%"
Desired digits = 8
Estimated correct digits = 13
Correct digits = 17
h = 1.000E-3 " "
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.990000000000005 " "
y[1] (closed_form) = 3.7400050000000045 " "
y[1] (numeric) = 3.7400050000000036 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 2.37480543395028700000000000000E-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 ; "
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 "%"
(%o253) temp/diffeq.add_lin_c.max