|\^/| Maple 18 (X86 64 WINDOWS) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2014 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. #BEGIN OUTFILE1 # before write maple top matter # before write_ats library and user def block #BEGIN ATS LIBRARY BLOCK # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc # End Function number 2 # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc # End Function number 3 # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc # End Function number 4 # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc # End Function number 5 # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc # End Function number 6 # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc # End Function number 7 # Begin Function number 8 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := int_trunc(secs_in / glob_sec_in_year); > sec_temp := int_trunc(secs_in) mod int_trunc(glob_sec_in_year); > days_int := int_trunc(sec_temp / glob_sec_in_day) ; > sec_temp := sec_temp mod int_trunc(glob_sec_in_day) ; > hours_int := int_trunc(sec_temp / glob_sec_in_hour); > sec_temp := sec_temp mod int_trunc(glob_sec_in_hour); > minutes_int := int_trunc(sec_temp / glob_sec_in_minute); > sec_int := sec_temp mod int_trunc(glob_sec_in_minute); > if (years_int > 0) then # if number 1 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 2 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," 0.0 Seconds"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := int_trunc(secs_in/glob_sec_in_year); sec_temp := int_trunc(secs_in) mod int_trunc(glob_sec_in_year); days_int := int_trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod int_trunc(glob_sec_in_day); hours_int := int_trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod int_trunc(glob_sec_in_hour); minutes_int := int_trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod int_trunc(glob_sec_in_minute); if 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " 0.0 Seconds") end if; fprintf(fd, "\n") end proc # End Function number 8 # Begin Function number 9 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := int_trunc(secs_in / glob_sec_in_year); > sec_temp := (int_trunc(secs_in) mod int_trunc(glob_sec_in_year)); > days_int := int_trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod int_trunc(glob_sec_in_day)) ; > hours_int := int_trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod int_trunc(glob_sec_in_hour)); > minutes_int := int_trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod int_trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 5 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" 0.0 Seconds\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := int_trunc(secs_in/glob_sec_in_year); sec_temp := int_trunc(secs_in) mod int_trunc(glob_sec_in_year); days_int := int_trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod int_trunc(glob_sec_in_day); hours_int := int_trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod int_trunc(glob_sec_in_hour); minutes_int := int_trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod int_trunc(glob_sec_in_minute); if 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" 0.0 Seconds\n") end if end proc # End Function number 9 # Begin Function number 10 > zero_ats_ar := proc(arr_a) > global ATS_MAX_TERMS; > local iii; > iii := 1; > while (iii <= ATS_MAX_TERMS) do # do number 1 > arr_a [iii] := glob__0; > iii := iii + 1; > od;# end do number 1 > end; zero_ats_ar := proc(arr_a) local iii; global ATS_MAX_TERMS; iii := 1; while iii <= ATS_MAX_TERMS do arr_a[iii] := glob__0; iii := iii + 1 end do end proc # End Function number 10 # Begin Function number 11 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > global ATS_MAX_TERMS; > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := glob__0; > if (jjj_ats <= mmm_ats) then # if number 6 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > if ((lll_ats <= ATS_MAX_TERMS and (iii_ats <= ATS_MAX_TERMS) )) then # if number 7 > ret_ats := ret_ats + c(arr_a[iii_ats])*c(arr_b[lll_ats]); > fi;# end if 7; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; global ATS_MAX_TERMS; ret_ats := glob__0; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; 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 := ret_ats + c(arr_a[iii_ats])*c(arr_b[lll_ats]) end if; iii_ats := iii_ats + 1 end do end if; ret_ats end proc # End Function number 11 # Begin Function number 12 > att := proc(mmm_att,arr_aa,arr_bb,jjj_att) > global ATS_MAX_TERMS; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := glob__0; > if (jjj_att < mmm_att) then # if number 6 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while ((iii_att < mmm_att) and (iii_att <= ATS_MAX_TERMS) ) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if ((lll_att <= ATS_MAX_TERMS and (iii_att <= ATS_MAX_TERMS) )) then # if number 7 > ret_att := ret_att + c(arr_aa[iii_att])*c(arr_bb[lll_att])* c(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / c(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global ATS_MAX_TERMS; ret_att := glob__0; if jjj_att < mmm_att then ma_att := mmm_att + 2; 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 := ret_att + c(arr_aa[iii_att])*c(arr_bb[lll_att])*c(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/c(mmm_att) end if; ret_att end proc # End Function number 12 # Begin Function number 13 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc # End Function number 13 # Begin Function number 14 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc # End Function number 14 # Begin Function number 15 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc # End Function number 15 # Begin Function number 16 > logitem_good_digits := proc(file,rel_error) > global glob_small_float,glob_prec; > local good_digits; > fprintf(file,""); > fprintf(file,"%d",glob_min_good_digits); > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float, glob_prec; fprintf(file, ""); fprintf(file, "%d", glob_min_good_digits); fprintf(file, "") end proc # End Function number 16 # Begin Function number 17 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc # End Function number 17 # Begin Function number 18 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc # End Function number 18 # Begin Function number 19 > logitem_h_reason := proc(file) > global glob_h_reason; > fprintf(file,""); > if (glob_h_reason = 1) then # if number 6 > fprintf(file,"Max H"); > elif > (glob_h_reason = 2) then # if number 7 > fprintf(file,"Display Interval"); > elif > (glob_h_reason = 3) then # if number 8 > fprintf(file,"Optimal"); > elif > (glob_h_reason = 4) then # if number 9 > fprintf(file,"Pole Accuracy"); > elif > (glob_h_reason = 5) then # if number 10 > fprintf(file,"Min H (Pole)"); > elif > (glob_h_reason = 6) then # if number 11 > fprintf(file,"Pole"); > elif > (glob_h_reason = 7) then # if number 12 > fprintf(file,"Opt Iter"); > else > fprintf(file,"Impossible"); > fi;# end if 12 > fprintf(file,""); > end; logitem_h_reason := proc(file) global glob_h_reason; fprintf(file, ""); if glob_h_reason = 1 then fprintf(file, "Max H") elif glob_h_reason = 2 then fprintf(file, "Display Interval") elif glob_h_reason = 3 then fprintf(file, "Optimal") elif glob_h_reason = 4 then fprintf(file, "Pole Accuracy") elif glob_h_reason = 5 then fprintf(file, "Min H (Pole)") elif glob_h_reason = 6 then fprintf(file, "Pole") elif glob_h_reason = 7 then fprintf(file, "Opt Iter") else fprintf(file, "Impossible") end if; fprintf(file, "") end proc # End Function number 19 # Begin Function number 20 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc # End Function number 20 # Begin Function number 21 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc # End Function number 21 # Begin Function number 22 > chk_data := proc() > global glob_max_iter,ALWAYS, ATS_MAX_TERMS; > local errflag; > errflag := false; > if (glob_max_iter < 2) then # if number 12 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 12; > if (errflag) then # if number 12 > quit; > fi;# end if 12 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, ATS_MAX_TERMS; errflag := false; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc # End Function number 22 # Begin Function number 23 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := c(clock_sec2); > sub1 := c(t_end2-t_start2); > sub2 := c(t2-t_start2); > if (sub1 = glob__0) then # if number 12 > sec_left := glob__0; > else > if (sub2 > glob__0) then # if number 13 > rrr := (sub1/sub2); > sec_left := rrr * c(ms2) - c(ms2); > else > sec_left := glob__0; > fi;# end if 13 > fi;# end if 12; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; 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 glob__0 < sub2 then rrr := sub1/sub2; sec_left := rrr*c(ms2) - c(ms2) else sec_left := glob__0 end if end if; sec_left end proc # End Function number 23 # Begin Function number 24 > comp_percent := proc(t_end2,t_start2, t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub2 > glob_small_float) then # if number 12 > rrr := (glob__100*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 12; > rrr; > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := glob__100*sub2/sub1 else rrr := 0. end if; rrr end proc # End Function number 24 # Begin Function number 25 > comp_rad_from_ratio := proc(term1,term2,last_no) > #TOP TWO TERM RADIUS ANALYSIS > global glob_h,glob_larger_float; > local ret; > if (float_abs(term2) > glob__0) then # if number 12 > ret := float_abs(term1 * glob_h / term2); > else > ret := glob_larger_float; > fi;# end if 12; > ret; > #BOTTOM TWO TERM RADIUS ANALYSIS > end; comp_rad_from_ratio := proc(term1, term2, last_no) local ret; global glob_h, glob_larger_float; if glob__0 < float_abs(term2) then ret := float_abs(term1*glob_h/term2) else ret := glob_larger_float end if; ret end proc # End Function number 25 # Begin Function number 26 > comp_ord_from_ratio := proc(term1,term2,last_no) > #TOP TWO TERM ORDER ANALYSIS > global glob_h,glob_larger_float; > local ret; > if (float_abs(term2) > glob__0) then # if number 12 > ret := glob__1 + float_abs(term2) * c(last_no) * ln(float_abs(term1 * glob_h / term2))/ln(c(last_no)); > else > ret := glob_larger_float; > fi;# end if 12; > ret; > #BOTTOM TWO TERM ORDER ANALYSIS > end; comp_ord_from_ratio := proc(term1, term2, last_no) local ret; global glob_h, glob_larger_float; if glob__0 < float_abs(term2) then ret := glob__1 + float_abs(term2)* c(last_no)*ln(float_abs(term1*glob_h/term2))/ln(c(last_no)) else ret := glob_larger_float end if; ret end proc # End Function number 26 # Begin Function number 27 > c := proc(in_val) > #To Force Conversion when needed > local ret; > ret := evalf(in_val); > ret; > #End Conversion > end; c := proc(in_val) local ret; ret := evalf(in_val); ret end proc # End Function number 27 # Begin Function number 28 > comp_rad_from_three_terms := proc(term1,term2,term3,last_no) > #TOP THREE TERM RADIUS ANALYSIS > global glob_h,glob_larger_float; > local ret,temp; > temp := float_abs(term2*term2*c(last_no)+glob__m2*term2*term2-term1*term3*c(last_no)+term1*term3); > if (float_abs(temp) > glob__0) then # if number 12 > ret := float_abs((term2*glob_h*term1)/(temp)); > else > ret := glob_larger_float; > fi;# end if 12; > ret; > #BOTTOM THREE TERM RADIUS ANALYSIS > end; comp_rad_from_three_terms := proc(term1, term2, term3, last_no) local ret, temp; global glob_h, glob_larger_float; temp := float_abs(term2*term2*c(last_no) + glob__m2*term2*term2 - term1*term3*c(last_no) + term1*term3); if glob__0 < float_abs(temp) then ret := float_abs(term2*glob_h*term1/temp) else ret := glob_larger_float end if; ret end proc # End Function number 28 # Begin Function number 29 > comp_ord_from_three_terms := proc(term1,term2,term3,last_no) > #TOP THREE TERM ORDER ANALYSIS > local ret; > ret := float_abs((glob__4*term1*term3*c(last_no)-glob__3*term1*term3-glob__4*term2*term2*c(last_no)+glob__4*term2*term2+term2*term2*c(last_no*last_no)-term1*term3*c(last_no*last_no))/(term2*term2*c(last_no)-glob__2*term2*term2-term1*term3*c(last_no)+term1*term3)); > ret; > #TOP THREE TERM ORDER ANALYSIS > end; comp_ord_from_three_terms := proc(term1, term2, term3, last_no) local ret; ret := float_abs((glob__4*term1*term3*c(last_no) - glob__3*term1*term3 - glob__4*term2*term2*c(last_no) + glob__4*term2*term2 + term2*term2*c(last_no*last_no) - term1*term3*c(last_no*last_no)) /(term2*term2*c(last_no) - glob__2*term2*term2 - term1*term3*c(last_no) + term1*term3)); ret end proc # End Function number 29 # Begin Function number 30 > comp_rad_from_six_terms := proc(term1,term2,term3,term4,term5,term6,last_no) > #TOP SIX TERM RADIUS ANALYSIS > global glob_h,glob_larger_float,glob_six_term_ord_save; > local ret,rm0,rm1,rm2,rm3,rm4,nr1,nr2,dr1,dr2,ds2,rad_c,ord_no,ds1,rcs; > if ((term5 <> glob__0) and (term4 <> glob__0) and (term3 <> glob__0) and (term2 <> glob__0) and (term1 <> glob__0)) then # if number 12 > rm0 := term6/term5; > rm1 := term5/term4; > rm2 := term4/term3; > rm3 := term3/term2; > rm4 := term2/term1; > nr1 := c(last_no-1)*rm0 - glob__2*c(last_no-2)*rm1 + c(last_no-3)*rm2; > nr2 := c(last_no-2)*rm1 - glob__2*c(last_no-3)*rm2 + c(last_no-4)*rm3; > dr1 := glob__m1/rm1 + glob__2/rm2 - glob__1/rm3; > dr2 := glob__m1/rm2 + glob__2/rm3 - glob__1/rm4; > ds1 := glob__3/rm1 - glob__8/rm2 + glob__5/rm3; > ds2 := glob__3/rm2 - glob__8/rm3 + glob__5/rm4; > if ((float_abs(nr1 * dr2 - nr2 * dr1) = glob__0) or (float_abs(dr1) = glob__0)) then # if number 13 > rad_c := glob_larger_float; > ord_no := glob_larger_float; > else > if (float_abs(nr1*dr2 - nr2 * dr1) > glob__0) then # if number 14 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(glob__2*dr1) -c(last_no)/glob__2; > if (float_abs(rcs) <> glob__0) then # if number 15 > if (rcs > glob__0) then # if number 16 > rad_c := sqrt(rcs) * float_abs(glob_h); > else > rad_c := glob_larger_float; > ord_no := glob_larger_float; > fi;# end if 16 > else > rad_c := glob_larger_float; > ord_no := glob_larger_float; > fi;# end if 15 > else > rad_c := glob_larger_float; > ord_no := glob_larger_float; > fi;# end if 14 > fi;# end if 13 > else > rad_c := glob_larger_float; > ord_no := glob_larger_float; > fi;# end if 12; > glob_six_term_ord_save := ord_no; > rad_c; > #BOTTOM SIX TERM RADIUS ANALYSIS > end; comp_rad_from_six_terms := proc( term1, term2, term3, term4, term5, term6, last_no) local ret, rm0, rm1, rm2, rm3, rm4, nr1, nr2, dr1, dr2, ds2, rad_c, ord_no, ds1, rcs; global glob_h, glob_larger_float, glob_six_term_ord_save; 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 - 1)*rm0 - glob__2*c(last_no - 2)*rm1 + c(last_no - 3)*rm2; nr2 := c(last_no - 2)*rm1 - glob__2*c(last_no - 3)*rm2 + c(last_no - 4)*rm3; dr1 := glob__m1/rm1 + glob__2/rm2 - glob__1/rm3; dr2 := glob__m1/rm2 + glob__2/rm3 - glob__1/rm4; ds1 := glob__3/rm1 - glob__8/rm2 + glob__5/rm3; ds2 := glob__3/rm2 - glob__8/rm3 + glob__5/rm4; if float_abs(nr1*dr2 - nr2*dr1) = glob__0 or float_abs(dr1) = glob__0 then rad_c := glob_larger_float; ord_no := glob_larger_float else if glob__0 < float_abs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(glob__2*dr1) - c(last_no)/glob__2; if float_abs(rcs) <> glob__0 then if glob__0 < rcs then rad_c := sqrt(rcs)*float_abs(glob_h) else rad_c := glob_larger_float; ord_no := glob_larger_float end if else rad_c := glob_larger_float; ord_no := glob_larger_float end if else rad_c := glob_larger_float; ord_no := glob_larger_float end if end if else rad_c := glob_larger_float; ord_no := glob_larger_float end if; glob_six_term_ord_save := ord_no; rad_c end proc # End Function number 30 # Begin Function number 31 > comp_ord_from_six_terms := proc(term1,term2,term3,term4,term5,term6,last_no) > global glob_six_term_ord_save; > #TOP SIX TERM ORDER ANALYSIS > #TOP SAVED FROM SIX TERM RADIUS ANALYSIS > glob_six_term_ord_save; > #BOTTOM SIX TERM ORDER ANALYSIS > end; comp_ord_from_six_terms := proc( term1, term2, term3, term4, term5, term6, last_no) global glob_six_term_ord_save; glob_six_term_ord_save end proc # End Function number 31 # Begin Function number 32 > factorial_2 := proc(nnn) > ret := nnn!; > ret;; > end; Warning, `ret` is implicitly declared local to procedure `factorial_2` factorial_2 := proc(nnn) local ret; ret := nnn!; ret end proc # End Function number 32 # Begin Function number 33 > factorial_1 := proc(nnn) > global ATS_MAX_TERMS,array_fact_1; > local ret; > if (nnn <= ATS_MAX_TERMS) then # if number 12 > if (array_fact_1[nnn] = 0) then # if number 13 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 13; > else > ret := factorial_2(nnn); > fi;# end if 12; > ret; > end; factorial_1 := proc(nnn) local ret; global ATS_MAX_TERMS, array_fact_1; 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] end if else ret := factorial_2(nnn) end if; ret end proc # End Function number 33 # Begin Function number 34 > factorial_3 := proc(mmm,nnn) > global ATS_MAX_TERMS,array_fact_2; > local ret; > if ((nnn <= ATS_MAX_TERMS) and (mmm <= ATS_MAX_TERMS)) then # if number 12 > if (array_fact_2[mmm,nnn] = 0) then # if number 13 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 13; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 12; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global ATS_MAX_TERMS, array_fact_2; 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] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc # End Function number 34 # Begin Function number 35 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc # End Function number 35 # Begin Function number 36 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc # End Function number 36 # Begin Function number 37 > float_abs := proc(x) > abs(x); > end; float_abs := proc(x) abs(x) end proc # End Function number 37 # Begin Function number 38 > expt := proc(x,y) > x^y; > end; expt := proc(x, y) x^y end proc # End Function number 38 # Begin Function number 39 > neg := proc(x) > -x; > end; neg := proc(x) -x end proc # End Function number 39 # Begin Function number 40 > int_trunc := proc(x) > trunc(x); > end; int_trunc := proc(x) trunc(x) end proc # End Function number 40 # Begin Function number 41 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS,ATS_MAX_TERMS; > 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(float_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(float_abs(desired_abs_gbl_error) /sqrt(c( estimated_steps))/c(ATS_MAX_TERMS))); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS, ATS_MAX_TERMS; 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(float_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(float_abs(desired_abs_gbl_error)/( sqrt(c(estimated_steps))*c(ATS_MAX_TERMS))); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc # End Function number 41 #END ATS LIBRARY BLOCK #BEGIN USER FUNCTION BLOCK #BEGIN BLOCK 3 #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(c(-10.0) * (exp(c(0.1) * c(x))/exp(c(0.2)*c(x)))); > end; exact_soln_y := proc(x) return c(-10.0)*exp(c(0.1)*c(x))/exp(c(0.2)*c(x)) end proc #END USER DEF BLOCK #END BLOCK 3 #END USER FUNCTION BLOCK # before write_aux functions # Begin Function number 2 > display_poles := proc() > local rad_given; > global ALWAYS,glob_display_flag,glob_larger_float, glob_large_float, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_guess_error_ord, glob_guess_error_rc, glob_type_given_pole,array_given_rad_poles,array_given_ord_poles,array_rad_test_poles,array_ord_test_poles,glob_least_3_sing,glob_least_6_sing,glob_least_given_sing,glob_least_ratio_sing,array_x ; > if ((glob_type_given_pole = 1) or (glob_type_given_pole = 2)) then # if number 1 > rad_given := sqrt((array_x[1] - array_given_rad_poles[1,1]) * (array_x[1] - array_given_rad_poles[1,1]) + array_given_rad_poles[1,2] * array_given_rad_poles[1,2]); > 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 # if number 2 > glob_least_given_sing := rad_given; > fi;# end if 2; > elif > (glob_type_given_pole = 3) then # if number 2 > omniout_str(ALWAYS,"NO POLE (given) for Equation 1"); > elif > (glob_type_given_pole = 5) then # if number 3 > omniout_str(ALWAYS,"SOME POLE (given) for Equation 1"); > else > omniout_str(ALWAYS,"NO INFO (given) for Equation 1"); > fi;# end if 3; > if (array_rad_test_poles[1,1] < glob_large_float) then # if number 3 > 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 # if number 4 > glob_least_ratio_sing := array_rad_test_poles[1,1]; > fi;# end if 4; > 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"); > fi;# end if 3; > if ((array_rad_test_poles[1,2] > glob__small) and (array_rad_test_poles[1,2] < glob_large_float)) then # if number 3 > 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 # if number 4 > glob_least_3_sing := array_rad_test_poles[1,2]; > fi;# end if 4; > 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"); > fi;# end if 3; > if ((array_rad_test_poles[1,3] > glob__small) and (array_rad_test_poles[1,3] < glob_large_float)) then # if number 3 > 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 # if number 4 > glob_least_6_sing := array_rad_test_poles[1,3]; > fi;# end if 4; > 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"); > fi;# end if 3 > ; > end; display_poles := proc() local rad_given; global ALWAYS, glob_display_flag, glob_larger_float, glob_large_float, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_guess_error_ord, glob_guess_error_rc, glob_type_given_pole, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, glob_least_3_sing, glob_least_6_sing, glob_least_given_sing, glob_least_ratio_sing, array_x; if glob_type_given_pole = 1 or glob_type_given_pole = 2 then rad_given := sqrt((array_x[1] - array_given_rad_poles[1, 1])* (array_x[1] - array_given_rad_poles[1, 1]) + array_given_rad_poles[1, 2]*array_given_rad_poles[1, 2]); 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 end if elif glob_type_given_pole = 3 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") elif 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") end if; 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] end if; 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") end if; if glob__small < array_rad_test_poles[1, 2] 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] end if; 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") end if; if glob__small < array_rad_test_poles[1, 3] 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] end if; 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") end if end proc # End Function number 2 # Begin Function number 3 > my_check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 3 > ret := glob__1; > else > ret := glob__m1; > fi;# end if 3; > ret;; > end; my_check_sign := proc(x0, xf) local ret; if x0 < xf then ret := glob__1 else ret := glob__m1 end if; ret end proc # End Function number 3 # Begin Function number 4 > est_size_answer := proc() > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local min_size; > min_size := glob_estimated_size_answer; > if (float_abs(array_y[1]) < min_size) then # if number 3 > min_size := float_abs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 3; > if (min_size < glob__1) then # if number 3 > min_size := glob__1; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 3; > min_size; > end; est_size_answer := proc() local min_size; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; min_size := glob_estimated_size_answer; if float_abs(array_y[1]) < min_size then min_size := float_abs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < glob__1 then min_size := glob__1; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc # End Function number 4 # Begin Function number 5 > test_suggested_h := proc() > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local 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 := float_abs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (est_tmp >= max_estimated_step_error) then # if number 3 > max_estimated_step_error := est_tmp; > fi;# end if 3; > omniout_float(ALWAYS,"max_estimated_step_error",32,max_estimated_step_error,32,""); > max_estimated_step_error; > end; test_suggested_h := proc() local max_estimated_step_error, hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; 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 := float_abs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_estimated_step_error <= est_tmp then max_estimated_step_error := est_tmp end if; omniout_float(ALWAYS, "max_estimated_step_error", 32, max_estimated_step_error, 32, ""); max_estimated_step_error end proc # End Function number 5 # Begin Function number 6 > track_estimated_error := proc() > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local 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(float_abs(array_y[no_terms-3])) + c(float_abs(array_y[no_terms - 2])) * c(hn_div_ho) + c(float_abs(array_y[no_terms - 1])) * c(hn_div_ho_2) + c(float_abs(array_y[no_terms])) * c(hn_div_ho_3); > if (glob_prec * c(float_abs(array_y[1])) > c(est_tmp)) then # if number 3 > est_tmp := c(glob_prec) * c(float_abs(array_y[1])); > fi;# end if 3; > if (c(est_tmp) >= c(array_max_est_error[1])) then # if number 3 > array_max_est_error[1] := c(est_tmp); > fi;# end if 3 > ; > end; track_estimated_error := proc() local hn_div_ho, hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; 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(float_abs(array_y[no_terms - 3])) + c(float_abs(array_y[no_terms - 2]))*c(hn_div_ho) + c(float_abs(array_y[no_terms - 1]))*c(hn_div_ho_2) + c(float_abs(array_y[no_terms]))*c(hn_div_ho_3); if c(est_tmp) < glob_prec*c(float_abs(array_y[1])) then est_tmp := c(glob_prec)*c(float_abs(array_y[1])) end if; if c(array_max_est_error[1]) <= c(est_tmp) then array_max_est_error[1] := c(est_tmp) end if end proc # End Function number 6 # Begin Function number 7 > reached_interval := proc() > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local ret; > if ((glob_check_sign * array_x[1]) >= (glob_check_sign * glob_next_display - glob_h/glob__10)) then # if number 3 > ret := true; > else > ret := false; > fi;# end if 3; > return(ret); > end; reached_interval := proc() local ret; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; if glob_check_sign*glob_next_display - glob_h/glob__10 <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc # End Function number 7 # Begin Function number 8 > display_alot := proc(iter) > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local abserr, closed_form_val_y, ind_var, numeric_val, relerr, term_no, est_rel_err; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 3 > if (iter >= 0) then # if number 4 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > closed_form_val_y := evalf(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 := float_abs(numeric_val - closed_form_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (c(float_abs(closed_form_val_y)) > c(glob_prec)) then # if number 5 > relerr := abserr*glob__100/float_abs(closed_form_val_y); > if (c(relerr) > c(glob_prec)) then # if number 6 > glob_good_digits := -int_trunc(log10(c(relerr))) + 3; > else > glob_good_digits := Digits; > fi;# end if 6; > else > relerr := glob__m1 ; > glob_good_digits := -16; > fi;# end if 5; > if (glob_good_digits < glob_min_good_digits) then # if number 5 > glob_min_good_digits := glob_good_digits; > fi;# end if 5; > if (glob_apfp_est_good_digits < glob_min_apfp_est_good_digits) then # if number 5 > glob_min_apfp_est_good_digits := glob_apfp_est_good_digits; > fi;# end if 5; > if (evalf(float_abs(numeric_val)) > glob_prec) then # if number 5 > est_rel_err := evalf(array_max_est_error[1]*100.0 * sqrt(glob_iter)*26*ATS_MAX_TERMS/float_abs(numeric_val)); > if (evalf(est_rel_err) > glob_prec) then # if number 6 > glob_est_digits := -int_trunc(log10(est_rel_err)) + 3; > else > glob_est_digits := Digits; > fi;# end if 6; > else > relerr := glob__m1 ; > glob_est_digits := -16; > fi;# end if 5; > array_est_digits[1] := glob_est_digits; > if (glob_iter = 1) then # if number 5 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 5; > 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," "); > fi;# end if 4; > #BOTTOM DISPLAY ALOT > fi;# end if 3; > end; display_alot := proc(iter) local abserr, closed_form_val_y, ind_var, numeric_val, relerr, term_no, est_rel_err; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); closed_form_val_y := evalf(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 := float_abs(numeric_val - closed_form_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if c(glob_prec) < c(float_abs(closed_form_val_y)) then relerr := abserr*glob__100/float_abs(closed_form_val_y); if c(glob_prec) < c(relerr) then glob_good_digits := -int_trunc(log10(c(relerr))) + 3 else glob_good_digits := Digits end if else relerr := glob__m1; glob_good_digits := -16 end if; if glob_good_digits < glob_min_good_digits then glob_min_good_digits := glob_good_digits end if; if glob_apfp_est_good_digits < glob_min_apfp_est_good_digits then glob_min_apfp_est_good_digits := glob_apfp_est_good_digits end if; if glob_prec < evalf(float_abs(numeric_val)) then est_rel_err := evalf(array_max_est_error[1]*100.0* sqrt(glob_iter)*26*ATS_MAX_TERMS/float_abs(numeric_val)) ; if glob_prec < evalf(est_rel_err) then glob_est_digits := -int_trunc(log10(est_rel_err)) + 3 else glob_est_digits := Digits end if else relerr := glob__m1; glob_est_digits := -16 end if; 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 end if; 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, " ") end if end if end proc # End Function number 8 # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > 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 := (glob_max_sec) + (glob_orig_start_sec) - (clock_sec1); > expect_sec := comp_expect_sec((x_end),(x_start),(array_x[1]) + (glob_h) ,( 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),(array_x[1]) +( glob_h) ,( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + c(total_clock_sec); > percent_done := comp_percent((x_end),(x_start),(array_x[1]) + (glob_h)); > 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 # if number 3 > 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)); > fi;# end if 3; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr((left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; 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 := glob_max_sec + glob_orig_start_sec - clock_sec1; expect_sec := comp_expect_sec(x_end, x_start, array_x[1] + glob_h, 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, array_x[1] + glob_h, opt_clock_sec) ; glob_total_exp_sec := glob_optimal_expect_sec + c(total_clock_sec); percent_done := comp_percent(x_end, x_start, array_x[1] + glob_h); 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) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(left_sec); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc # End Function number 9 # Begin Function number 10 > check_for_pole := proc() > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, 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, found_sing, h_new, ratio, term, local_test, tmp_rad,tmp_ord, tmp_ratio, prev_tmp_rad, last_no; > #TOP CHECK FOR POLE > 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 := ATS_MAX_TERMS - 1 - 10; > cnt := 0; > while (last_no < ATS_MAX_TERMS-3 and found_sing = 1) do # do number 1 > tmp_rad := comp_rad_from_ratio(array_y_higher[1,last_no-1],array_y_higher[1,last_no],last_no); > if (float_abs(prev_tmp_rad) > glob__0) then # if number 3 > tmp_ratio := tmp_rad / prev_tmp_rad; > else > tmp_ratio := glob_large_float; > fi;# end if 3; > if ((cnt > 0 ) and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit)) then # if number 3 > rad_c := tmp_rad; > elif > (cnt = 0) then # if number 4 > rad_c := tmp_rad; > elif > (cnt > 0) then # if number 5 > found_sing := 0; > fi;# end if 5; > prev_tmp_rad := tmp_rad;; > cnt := cnt + 1; > last_no := last_no + 1; > od;# end do number 1; > if (found_sing = 1) then # if number 5 > if (rad_c < array_rad_test_poles[1,1]) then # if number 6 > 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; > fi;# end if 6; > fi;# end if 5; > #BOTTOM general radius test1 > 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 := ATS_MAX_TERMS - 1 - 10; > cnt := 0; > while (last_no < ATS_MAX_TERMS-4 and found_sing = 1) do # do number 1 > 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 (float_abs(prev_tmp_rad) > glob__0) then # if number 5 > tmp_ratio := tmp_rad / prev_tmp_rad; > else > tmp_ratio := glob_large_float; > fi;# end if 5; > if ((cnt > 0 ) and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit)) then # if number 5 > rad_c := tmp_rad; > elif > (cnt = 0) then # if number 6 > rad_c := tmp_rad; > elif > (cnt > 0) then # if number 7 > found_sing := 0; > fi;# end if 7; > prev_tmp_rad := tmp_rad;; > cnt := cnt + 1; > last_no := last_no + 1; > od;# end do number 1; > if (found_sing = 1) then # if number 7 > if (rad_c < array_rad_test_poles[1,2]) then # if number 8 > 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 # if number 9 > glob_min_pole_est := rad_c; > fi;# end if 9; > array_ord_test_poles[1,2] := tmp_ord; > fi;# end if 8; > fi;# end if 7; > #BOTTOM general radius test1 > 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 := ATS_MAX_TERMS - 1 - 10; > cnt := 0; > while (last_no < ATS_MAX_TERMS-7 and found_sing = 1) do # do number 1 > 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 (float_abs(prev_tmp_rad) > glob__0) then # if number 7 > tmp_ratio := tmp_rad / prev_tmp_rad; > else > tmp_ratio := glob_large_float; > fi;# end if 7; > if ((cnt > 0 ) and (tmp_ratio < glob_upper_ratio_limit) and (tmp_ratio > glob_lower_ratio_limit)) then # if number 7 > rad_c := tmp_rad; > elif > (cnt = 0) then # if number 8 > rad_c := tmp_rad; > elif > (cnt > 0) then # if number 9 > found_sing := 0; > fi;# end if 9; > prev_tmp_rad := tmp_rad;; > cnt := cnt + 1; > last_no := last_no + 1; > od;# end do number 1; > if (found_sing = 1) then # if number 9 > if (rad_c < array_rad_test_poles[1,3]) then # if number 10 > 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 # if number 11 > glob_min_pole_est := rad_c; > fi;# end if 11; > array_ord_test_poles[1,3] := tmp_ord; > fi;# end if 10; > fi;# end if 9; > #BOTTOM general radius test1 > #START ADJUST ALL SERIES > if (float_abs(glob_min_pole_est) * glob_ratio_of_radius < float_abs(glob_h)) then # if number 9 > 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 # if number 10 > omniout_str(ALWAYS,"SETTING H FOR MIN H"); > h_new := glob_min_h; > glob_h_reason := 5; > fi;# end if 10; > term := 1; > ratio := c(1.0); > while (term <= ATS_MAX_TERMS) do # do number 1 > 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 / float_abs(glob_h); > term := term + 1; > od;# end do number 1; > glob_h := h_new; > fi;# end if 9; > #BOTTOM ADJUST ALL SERIES > ; > if (reached_interval()) then # if number 9 > display_poles(); > fi;# end if 9 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, 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, found_sing, h_new, ratio, term, local_test, tmp_rad, tmp_ord, tmp_ratio, prev_tmp_rad, last_no; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; 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 := ATS_MAX_TERMS - 11; 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 glob__0 < float_abs(prev_tmp_rad) then tmp_ratio := tmp_rad/prev_tmp_rad else tmp_ratio := glob_large_float end if; if 0 < cnt and tmp_ratio < glob_upper_ratio_limit and glob_lower_ratio_limit < tmp_ratio then rad_c := tmp_rad elif cnt = 0 then rad_c := tmp_rad elif 0 < cnt then found_sing := 0 end if; prev_tmp_rad := tmp_rad; cnt := cnt + 1; last_no := last_no + 1 end do; 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 end if end if; 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 := ATS_MAX_TERMS - 11; 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 glob__0 < float_abs(prev_tmp_rad) then tmp_ratio := tmp_rad/prev_tmp_rad else tmp_ratio := glob_large_float end if; if 0 < cnt and tmp_ratio < glob_upper_ratio_limit and glob_lower_ratio_limit < tmp_ratio then rad_c := tmp_rad elif cnt = 0 then rad_c := tmp_rad elif 0 < cnt then found_sing := 0 end if; prev_tmp_rad := tmp_rad; cnt := cnt + 1; last_no := last_no + 1 end do; 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 end if; array_ord_test_poles[1, 2] := tmp_ord end if end if; 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 := ATS_MAX_TERMS - 11; 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 glob__0 < float_abs(prev_tmp_rad) then tmp_ratio := tmp_rad/prev_tmp_rad else tmp_ratio := glob_large_float end if; if 0 < cnt and tmp_ratio < glob_upper_ratio_limit and glob_lower_ratio_limit < tmp_ratio then rad_c := tmp_rad elif cnt = 0 then rad_c := tmp_rad elif 0 < cnt then found_sing := 0 end if; prev_tmp_rad := tmp_rad; cnt := cnt + 1; last_no := last_no + 1 end do; 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 end if; array_ord_test_poles[1, 3] := tmp_ord end if end if; if float_abs(glob_min_pole_est)*glob_ratio_of_radius < float_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*h_new < glob_check_sign*glob_min_h then omniout_str(ALWAYS, "SETTING H FOR MIN H"); h_new := glob_min_h; glob_h_reason := 5 end if; 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/float_abs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_poles() end if end proc # End Function number 10 # Begin Function number 11 > atomall := proc() > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, #Bottom Generate Globals Decl #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > # before write maple main top matter > # before generate constants assign > # before generate globals assign > #END OUTFILE1 > #BEGIN OUTFILE2 > #END OUTFILE2 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D1[1] * array_x[1]; > #emit pre exp 1 $eq_no = 1 > array_tmp2[1] := exp(array_tmp1[1]); > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp3[1] := array_const_0D2[1] * array_x[1]; > #emit pre exp 1 $eq_no = 1 > array_tmp4[1] := exp(array_tmp3[1]); > #emit pre div FULL - FULL $eq_no = 1 i = 1 > array_tmp5[1] := (array_tmp2[1] / (array_tmp4[1])); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp6[1] := array_const_0D0[1] + array_tmp5[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= ATS_MAX_TERMS) then # if number 2 > temporary := c(array_tmp6[1]) * (expt((glob_h) , c(1))) * c(factorial_3(0,1)); > if (2 <= ATS_MAX_TERMS) then # if number 3 > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > fi;# end if 3; > temporary := c(temporary) / c(glob_h) * c(1); > array_y_higher[2,1] := c(temporary); > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D1[1] * array_x[2]; > #emit pre exp ID_LINEAR iii = 2 $eq_no = 1 > array_tmp2[2] := array_tmp2[1] * array_tmp1[2] / c(1); > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp3[2] := array_const_0D2[1] * array_x[2]; > #emit pre exp ID_LINEAR iii = 2 $eq_no = 1 > array_tmp4[2] := array_tmp4[1] * array_tmp3[2] / c(1); > #emit pre div FULL - FULL $eq_no = 1 i = 2 > array_tmp5[2] := ((array_tmp2[2] - ats(2,array_tmp4,array_tmp5,2))/array_tmp4[1]); > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp6[2] := array_tmp5[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= ATS_MAX_TERMS) then # if number 2 > temporary := c(array_tmp6[2]) * (expt((glob_h) , c(1))) * c(factorial_3(1,2)); > if (3 <= ATS_MAX_TERMS) then # if number 3 > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > fi;# end if 3; > temporary := c(temporary) / c(glob_h) * c(2); > array_y_higher[2,2] := c(temporary); > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre exp ID_LINEAR iii = 3 $eq_no = 1 > array_tmp2[3] := array_tmp2[2] * array_tmp1[2] / c(2); > #emit pre exp ID_LINEAR iii = 3 $eq_no = 1 > array_tmp4[3] := array_tmp4[2] * array_tmp3[2] / c(2); > #emit pre div FULL - FULL $eq_no = 1 i = 3 > array_tmp5[3] := ((array_tmp2[3] - ats(3,array_tmp4,array_tmp5,2))/array_tmp4[1]); > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp6[3] := array_tmp5[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= ATS_MAX_TERMS) then # if number 2 > temporary := c(array_tmp6[3]) * (expt((glob_h) , c(1))) * c(factorial_3(2,3)); > if (4 <= ATS_MAX_TERMS) then # if number 3 > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > fi;# end if 3; > temporary := c(temporary) / c(glob_h) * c(3); > array_y_higher[2,3] := c(temporary); > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre exp ID_LINEAR iii = 4 $eq_no = 1 > array_tmp2[4] := array_tmp2[3] * array_tmp1[2] / c(3); > #emit pre exp ID_LINEAR iii = 4 $eq_no = 1 > array_tmp4[4] := array_tmp4[3] * array_tmp3[2] / c(3); > #emit pre div FULL - FULL $eq_no = 1 i = 4 > array_tmp5[4] := ((array_tmp2[4] - ats(4,array_tmp4,array_tmp5,2))/array_tmp4[1]); > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp6[4] := array_tmp5[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= ATS_MAX_TERMS) then # if number 2 > temporary := c(array_tmp6[4]) * (expt((glob_h) , c(1))) * c(factorial_3(3,4)); > if (5 <= ATS_MAX_TERMS) then # if number 3 > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > fi;# end if 3; > temporary := c(temporary) / c(glob_h) * c(4); > array_y_higher[2,4] := c(temporary); > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre exp ID_LINEAR iii = 5 $eq_no = 1 > array_tmp2[5] := array_tmp2[4] * array_tmp1[2] / c(4); > #emit pre exp ID_LINEAR iii = 5 $eq_no = 1 > array_tmp4[5] := array_tmp4[4] * array_tmp3[2] / c(4); > #emit pre div FULL - FULL $eq_no = 1 i = 5 > array_tmp5[5] := ((array_tmp2[5] - ats(5,array_tmp4,array_tmp5,2))/array_tmp4[1]); > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp6[5] := array_tmp5[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= ATS_MAX_TERMS) then # if number 2 > temporary := c(array_tmp6[5]) * (expt((glob_h) , c(1))) * c(factorial_3(4,5)); > if (6 <= ATS_MAX_TERMS) then # if number 3 > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > fi;# end if 3; > temporary := c(temporary) / c(glob_h) * c(5); > array_y_higher[2,5] := c(temporary); > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= ATS_MAX_TERMS) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit exp LINEAR $eq_no = 1 > array_tmp2[kkk] := array_tmp2[kkk - 1] * array_tmp1[2] / c(kkk - 1); > #emit exp LINEAR $eq_no = 1 > array_tmp4[kkk] := array_tmp4[kkk - 1] * array_tmp3[2] / c(kkk - 1); > #emit div FULL FULL $eq_no = 1 > array_tmp5[kkk] := ((array_tmp2[kkk] - ats(kkk,array_tmp4,array_tmp5,2)) /array_tmp4[1]); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp6[kkk] := array_tmp5[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d <= ATS_MAX_TERMS) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := c(array_tmp6[kkk]) * expt((glob_h) , c(order_d)) * c(factorial_3((kkk - 1),(kkk + order_d - 1))); > array_y[kkk + order_d] := c(temporary); > array_y_higher[1,kkk + order_d] := c(temporary); > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while ((term >= 1) and (term <= ATS_MAX_TERMS) and (adj3 < order_d + 1)) do # do number 1 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := c(temporary) / c(glob_h) * c(adj2); > else > temporary := c(temporary); > fi;# end if 4; > array_y_higher[adj3,term] := c(temporary); > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 1 > fi;# end if 2 > fi;# end if 1; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; array_tmp1[1] := array_const_0D1[1]*array_x[1]; array_tmp2[1] := exp(array_tmp1[1]); array_tmp3[1] := array_const_0D2[1]*array_x[1]; array_tmp4[1] := exp(array_tmp3[1]); array_tmp5[1] := array_tmp2[1]/array_tmp4[1]; array_tmp6[1] := array_const_0D0[1] + array_tmp5[1]; if not array_y_set_initial[1, 2] then if 1 <= ATS_MAX_TERMS then temporary := c(array_tmp6[1])*expt(glob_h, c(1))*c(factorial_3(0, 1)); if 2 <= ATS_MAX_TERMS then array_y[2] := temporary; array_y_higher[1, 2] := temporary end if; temporary := c(temporary)*c(1)/c(glob_h); array_y_higher[2, 1] := c(temporary) end if end if; kkk := 2; array_tmp1[2] := array_const_0D1[1]*array_x[2]; array_tmp2[2] := array_tmp2[1]*array_tmp1[2]/c(1); array_tmp3[2] := array_const_0D2[1]*array_x[2]; array_tmp4[2] := array_tmp4[1]*array_tmp3[2]/c(1); array_tmp5[2] := (array_tmp2[2] - ats(2, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[2] := array_tmp5[2]; if not array_y_set_initial[1, 3] then if 2 <= ATS_MAX_TERMS then temporary := c(array_tmp6[2])*expt(glob_h, c(1))*c(factorial_3(1, 2)); if 3 <= ATS_MAX_TERMS then array_y[3] := temporary; array_y_higher[1, 3] := temporary end if; temporary := c(temporary)*c(2)/c(glob_h); array_y_higher[2, 2] := c(temporary) end if end if; kkk := 3; array_tmp2[3] := array_tmp2[2]*array_tmp1[2]/c(2); array_tmp4[3] := array_tmp4[2]*array_tmp3[2]/c(2); array_tmp5[3] := (array_tmp2[3] - ats(3, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[3] := array_tmp5[3]; if not array_y_set_initial[1, 4] then if 3 <= ATS_MAX_TERMS then temporary := c(array_tmp6[3])*expt(glob_h, c(1))*c(factorial_3(2, 3)); if 4 <= ATS_MAX_TERMS then array_y[4] := temporary; array_y_higher[1, 4] := temporary end if; temporary := c(temporary)*c(3)/c(glob_h); array_y_higher[2, 3] := c(temporary) end if end if; kkk := 4; array_tmp2[4] := array_tmp2[3]*array_tmp1[2]/c(3); array_tmp4[4] := array_tmp4[3]*array_tmp3[2]/c(3); array_tmp5[4] := (array_tmp2[4] - ats(4, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[4] := array_tmp5[4]; if not array_y_set_initial[1, 5] then if 4 <= ATS_MAX_TERMS then temporary := c(array_tmp6[4])*expt(glob_h, c(1))*c(factorial_3(3, 4)); if 5 <= ATS_MAX_TERMS then array_y[5] := temporary; array_y_higher[1, 5] := temporary end if; temporary := c(temporary)*c(4)/c(glob_h); array_y_higher[2, 4] := c(temporary) end if end if; kkk := 5; array_tmp2[5] := array_tmp2[4]*array_tmp1[2]/c(4); array_tmp4[5] := array_tmp4[4]*array_tmp3[2]/c(4); array_tmp5[5] := (array_tmp2[5] - ats(5, array_tmp4, array_tmp5, 2))/array_tmp4[1]; array_tmp6[5] := array_tmp5[5]; if not array_y_set_initial[1, 6] then if 5 <= ATS_MAX_TERMS then temporary := c(array_tmp6[5])*expt(glob_h, c(1))*c(factorial_3(4, 5)); if 6 <= ATS_MAX_TERMS then array_y[6] := temporary; array_y_higher[1, 6] := temporary end if; temporary := c(temporary)*c(5)/c(glob_h); array_y_higher[2, 5] := c(temporary) end if end if; kkk := 6; while kkk <= ATS_MAX_TERMS do array_tmp2[kkk] := array_tmp2[kkk - 1]*array_tmp1[2]/c(kkk - 1); array_tmp4[kkk] := array_tmp4[kkk - 1]*array_tmp3[2]/c(kkk - 1); array_tmp5[kkk] := ( array_tmp2[kkk] - ats(kkk, array_tmp4, array_tmp5, 2))/ array_tmp4[1]; array_tmp6[kkk] := array_tmp5[kkk]; order_d := 1; if kkk + order_d <= ATS_MAX_TERMS then if not array_y_set_initial[1, kkk + order_d] then temporary := c(array_tmp6[kkk])*expt(glob_h, c(order_d))* c(factorial_3(kkk - 1, kkk + order_d - 1)); array_y[kkk + order_d] := c(temporary); array_y_higher[1, kkk + order_d] := c(temporary); term := kkk + order_d - 1; adj2 := kkk + order_d - 1; adj3 := 2; while 1 <= term and term <= ATS_MAX_TERMS and adj3 < order_d + 1 do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := c(temporary)*c(adj2)/c(glob_h) else temporary := c(temporary) end if; array_y_higher[adj3, term] := c(temporary) end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc # End Function number 12 #END OUTFILE5 # Begin Function number 12 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once,max_terms,display_max, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it,last_min_pole_est, opt_iter, tmp,subiter, est_needed_step_err,estimated_step_error,min_value,est_answer,found_h,repeat_it; > global > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > glob_iolevel, > glob_yes_pole, > glob_no_pole, > glob_not_given, > glob_no_sing_tests, > glob_ratio_test, > glob_three_term_test, > glob_six_term_test, > glob_log_10, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob__small, > glob_small_float, > glob_smallish_float, > glob_large_float, > glob_larger_float, > glob__m2, > glob__m1, > glob__0, > glob__1, > glob__2, > glob__3, > glob__4, > glob__5, > glob__8, > glob__10, > glob__100, > glob__pi, > glob__0_5, > glob__0_8, > glob__m0_8, > glob__0_25, > glob__0_125, > glob_prec, > glob_check_sign, > glob_desired_digits_correct, > glob_max_estimated_step_error, > glob_ratio_of_radius, > glob_percent_done, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_estimated_size_answer, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_disp_incr, > glob_h, > glob_diff_rc_fm, > glob_diff_rc_fmm1, > glob_diff_rc_fmm2, > glob_diff_ord_fm, > glob_diff_ord_fmm1, > glob_diff_ord_fmm2, > glob_six_term_ord_save, > glob_guess_error_rc, > glob_guess_error_ord, > glob_least_given_sing, > glob_least_ratio_sing, > glob_least_3_sing, > glob_least_6_sing, > glob_last_good_h, > glob_max_h, > glob_min_h, > glob_display_interval, > glob_abserr, > glob_relerr, > glob_min_pole_est, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_max_hours, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_upper_ratio_limit, > glob_lower_ratio_limit, > glob_max_sec, > glob_orig_start_sec, > glob_normmax, > glob_max_minutes, > glob_next_display, > glob_est_digits, > glob_subiter_method, > glob_html_log, > glob_min_good_digits, > glob_good_digits, > glob_min_apfp_est_good_digits, > glob_apfp_est_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_h_reason, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_type_given_pole, > glob_optimize, > glob_look_poles, > glob_dump_closed_form, > glob_max_iter, > glob_no_eqs, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_start, > glob_iter, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_1st_rel_error, > array_last_rel_error, > array_est_rel_error, > array_max_est_error, > array_type_pole, > array_type_real_pole, > array_type_complex_pole, > array_est_digits, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_given_rad_poles, > array_given_ord_poles, > array_rad_test_poles, > array_ord_test_poles, > array_fact_2, > ATS_MAX_TERMS, > glob_last; > ATS_MAX_TERMS := 30; > # before first input block > #BEGIN FIRST INPUT BLOCK > #BEGIN BLOCK 1 > #BEGIN FIRST INPUT BLOCK > Digits:=32; > max_terms:=30; > #END BLOCK 1 > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > # before generate arrays > array_y_init:= Array(0..(30),[]); > array_norms:= Array(0..(30),[]); > array_fact_1:= Array(0..(30),[]); > array_1st_rel_error:= Array(0..(2),[]); > array_last_rel_error:= Array(0..(2),[]); > array_est_rel_error:= Array(0..(2),[]); > array_max_est_error:= Array(0..(2),[]); > array_type_pole:= Array(0..(2),[]); > array_type_real_pole:= Array(0..(2),[]); > array_type_complex_pole:= Array(0..(2),[]); > array_est_digits:= Array(0..(2),[]); > array_y:= Array(0..(30),[]); > array_x:= Array(0..(30),[]); > array_tmp0:= Array(0..(30),[]); > array_tmp1:= Array(0..(30),[]); > array_tmp2:= Array(0..(30),[]); > array_tmp3:= Array(0..(30),[]); > array_tmp4:= Array(0..(30),[]); > array_tmp5:= Array(0..(30),[]); > array_tmp6:= Array(0..(30),[]); > array_m1:= Array(0..(30),[]); > array_y_higher := Array(0..(2) ,(0..30+ 1),[]); > array_y_higher_work := Array(0..(2) ,(0..30+ 1),[]); > array_y_higher_work2 := Array(0..(2) ,(0..30+ 1),[]); > array_y_set_initial := Array(0..(2) ,(0..30+ 1),[]); > array_given_rad_poles := Array(0..(2) ,(0..3+ 1),[]); > array_given_ord_poles := Array(0..(2) ,(0..3+ 1),[]); > array_rad_test_poles := Array(0..(2) ,(0..4+ 1),[]); > array_ord_test_poles := Array(0..(2) ,(0..4+ 1),[]); > array_fact_2 := Array(0..(30) ,(0..30+ 1),[]); > # before generate constants > # before generate globals definition > #Top Generate Globals Definition > #Bottom Generate Globals Deninition > # before generate const definition > # before arrays initialized > term := 1; > while (term <= 30) do # do number 1 > array_y_init[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_norms[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_fact_1[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_1st_rel_error[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_last_rel_error[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_est_rel_error[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_max_est_error[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_type_pole[term] := 0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_type_real_pole[term] := 0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_type_complex_pole[term] := 0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 2) do # do number 1 > array_est_digits[term] := 0; > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_y[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_x[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_tmp0[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_tmp1[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_tmp2[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_tmp3[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_tmp4[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_tmp5[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_tmp6[term] := c(0.0); > term := term + 1; > od;# end do number 1; > term := 1; > while (term <= 30) do # do number 1 > array_m1[term] := c(0.0); > term := term + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 30) do # do number 2 > array_y_higher[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 30) do # do number 2 > array_y_higher_work[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 30) do # do number 2 > array_y_higher_work2[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 30) do # do number 2 > array_y_set_initial[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 3) do # do number 2 > array_given_rad_poles[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 3) do # do number 2 > array_given_ord_poles[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 4) do # do number 2 > array_rad_test_poles[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=2) do # do number 1 > term := 1; > while (term <= 4) do # do number 2 > array_ord_test_poles[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > ord := 1; > while (ord <=30) do # do number 1 > term := 1; > while (term <= 30) do # do number 2 > array_fact_2[ord,term] := c(0.0); > term := term + 1; > od;# end do number 2; > ord := ord + 1; > od;# end do number 1; > # before symbols initialized > #BEGIN SYMBOLS INITIALIZATED > zero_ats_ar(array_y); > zero_ats_ar(array_x); > zero_ats_ar(array_tmp0); > zero_ats_ar(array_tmp1); > zero_ats_ar(array_tmp2); > zero_ats_ar(array_tmp3); > zero_ats_ar(array_tmp4); > zero_ats_ar(array_tmp5); > zero_ats_ar(array_tmp6); > zero_ats_ar(array_m1); > zero_ats_ar(array_const_1); > array_const_1[1] := c(1); > zero_ats_ar(array_const_0D0); > array_const_0D0[1] := c(0.0); > zero_ats_ar(array_const_0D1); > array_const_0D1[1] := c(0.1); > zero_ats_ar(array_const_0D2); > array_const_0D2[1] := c(0.2); > zero_ats_ar(array_m1); > array_m1[1] := glob__m1; > #END SYMBOLS INITIALIZATED > # before generate factorials init > #Initing Factorial Tables > iiif := 0; > while (iiif <= ATS_MAX_TERMS) do # do number 1 > jjjf := 0; > while (jjjf <= ATS_MAX_TERMS) do # do number 2 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 2; > iiif := iiif + 1; > od;# end do number 1; > #Done Initing Factorial Table > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := 5; > glob_yes_pole := 4; > glob_no_pole := 3; > glob_not_given := 0; > glob_no_sing_tests := 4; > glob_ratio_test := 1; > glob_three_term_test := 2; > glob_six_term_test := 3; > glob_log_10 := log(c(10.0)); > MAX_UNCHANGED := 10; > glob__small := c(0.1e-50); > glob_small_float := c(0.1e-50); > glob_smallish_float := c(0.1e-60); > glob_large_float := c(1.0e100); > glob_larger_float := c(1.1e100); > glob__m2 := c(-2); > glob__m1 := c(-1); > glob__0 := c(0); > glob__1 := c(1); > glob__2 := c(2); > glob__3 := c(3); > glob__4 := c(4); > glob__5 := c(5); > glob__8 := c(8); > glob__10 := c(10); > glob__100 := c(100); > glob__pi := c(0.0); > glob__0_5 := c(0.5); > glob__0_8 := c(0.8); > glob__m0_8 := c(-0.8); > glob__0_25 := c(0.25); > glob__0_125 := c(0.125); > glob_prec := c(1.0e-16); > glob_check_sign := c(1.0); > glob_desired_digits_correct := c(8.0); > glob_max_estimated_step_error := c(0.0); > glob_ratio_of_radius := c(0.1); > glob_percent_done := c(0.0); > glob_total_exp_sec := c(0.1); > glob_optimal_expect_sec := c(0.1); > glob_estimated_size_answer := c(100.0); > glob_almost_1 := c(0.9990); > glob_clock_sec := c(0.0); > glob_clock_start_sec := c(0.0); > glob_disp_incr := c(0.1); > glob_h := c(0.1); > glob_diff_rc_fm := c(0.1); > glob_diff_rc_fmm1 := c(0.1); > glob_diff_rc_fmm2 := c(0.1); > glob_diff_ord_fm := c(0.1); > glob_diff_ord_fmm1 := c(0.1); > glob_diff_ord_fmm2 := c(0.1); > glob_six_term_ord_save := c(0.1); > glob_guess_error_rc := c(0.1); > glob_guess_error_ord := c(0.1); > glob_least_given_sing := c(9.9e200); > glob_least_ratio_sing := c(9.9e200); > glob_least_3_sing := c(9.9e100); > glob_least_6_sing := c(9.9e100); > glob_last_good_h := c(0.1); > glob_max_h := c(0.1); > glob_min_h := c(0.000001); > glob_display_interval := c(0.1); > glob_abserr := c(0.1e-10); > glob_relerr := c(0.1e-10); > glob_min_pole_est := c(0.1e+10); > glob_max_rel_trunc_err := c(0.1e-10); > glob_max_trunc_err := c(0.1e-10); > glob_max_hours := c(0.0); > glob_optimal_clock_start_sec := c(0.0); > glob_optimal_start := c(0.0); > glob_upper_ratio_limit := c(1.0001); > glob_lower_ratio_limit := c(0.9999); > glob_max_sec := c(10000.0); > glob_orig_start_sec := c(0.0); > glob_normmax := c(0.0); > glob_max_minutes := c(0.0); > glob_next_display := c(0.0); > glob_est_digits := 1; > glob_subiter_method := 3; > glob_html_log := true; > glob_min_good_digits := 99999; > glob_good_digits := 0; > glob_min_apfp_est_good_digits := 99999; > glob_apfp_est_good_digits := 0; > glob_max_opt_iter := 10; > glob_dump := false; > glob_djd_debug := true; > glob_display_flag := true; > glob_djd_debug2 := true; > glob_h_reason := 0; > glob_sec_in_minute := 60 ; > glob_min_in_hour := 60; > glob_hours_in_day := 24; > glob_days_in_year := 365; > glob_sec_in_hour := 3600; > glob_sec_in_day := 86400; > glob_sec_in_year := 31536000; > glob_not_yet_finished := true; > glob_initial_pass := true; > glob_not_yet_start_msg := true; > glob_reached_optimal_h := false; > glob_optimal_done := false; > glob_type_given_pole := 0; > glob_optimize := false; > glob_look_poles := false; > glob_dump_closed_form := false; > glob_max_iter := 1000; > glob_no_eqs := 0; > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_start := 0; > glob_iter := 0; > # before generate set diff initial > 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; > # before generate init omniout const > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > ATS_MAX_TERMS := 30; > glob_iolevel := INFO; > # set default block > #Write Set Defaults > 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/div_exp_exppostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; "); > 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(1.0000001);"); > omniout_str(ALWAYS,"glob_lower_ratio_limit:=c(0.9999999);"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_h:=c(0.005);"); > 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 := proc(x)"); > omniout_str(ALWAYS,""); > omniout_str(ALWAYS,"return(c(-10.0) * (exp(c(0.1) * c(x))/exp(c(0.2)*c(x))));"); > omniout_str(ALWAYS,"end;"); > 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(1.0e100); > glob_larger_float := c( 1.1e100); > glob_almost_1 := c( 0.99); > # before second block > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #BEGIN BLOCK 2 > #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(1.0000001); > glob_lower_ratio_limit:=c(0.9999999); > glob_look_poles:=true; > glob_h:=c(0.005); > glob_display_interval:=c(0.01); > #END OVERRIDE BLOCK > #END BLOCK 2 > #END SECOND INPUT BLOCK > #BEGIN INITS AFTER SECOND INPUT BLOCK > glob_last_good_h := glob_h; > glob_max_sec := (60.0) * (glob_max_minutes) + (3600.0) * (glob_max_hours); > # after second input block > glob_check_sign := c(my_check_sign(x_start,x_end)); > glob__pi := arccos(glob__m1); > glob_prec = expt(10.0,c(-Digits)); > if (glob_optimize) then # if number 9 > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR 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 := float_abs(glob_min_h) * glob_check_sign; > glob_max_h := float_abs(glob_max_h) * glob_check_sign; > glob_h := float_abs(glob_min_h) * glob_check_sign; > glob_display_interval := c((float_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 # if number 10 > glob_display_interval := c(display_max); > fi;# end if 10; > 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 # do number 1 > 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; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , c(term_no - 1)) / c(factorial_1(term_no - 1)); > term_no := term_no + 1; > od;# end do number 2; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > if (term_no < ATS_MAX_TERMS) then # if number 10 > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , c(term_no - 1)) / (c(factorial_1(term_no - 1))); > fi;# end if 10; > term_no := term_no + 1; > od;# end do number 3; > r_order := r_order + 1; > od;# end do number 2 > ; > atomall(); > if (glob_check_sign * glob_min_h >= glob_check_sign * glob_h) then # if number 10 > omniout_str(ALWAYS,"SETTING H FOR MIN H"); > glob_h := glob_check_sign * float_abs(glob_min_h); > glob_h_reason := 1; > found_h := true; > fi;# end if 10; > if (glob_check_sign * glob_display_interval <= glob_check_sign * glob_h) then # if number 10 > omniout_str(ALWAYS,"SETTING H FOR DISPLAY INTERVAL"); > glob_h_reason := 2; > glob_h := glob_display_interval; > found_h := true; > fi;# end if 10; > if (glob_look_poles) then # if number 10 > check_for_pole(); > fi;# end if 10; > if ( not found_h) then # if number 10 > 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 # if number 11 > 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; > fi;# end if 11; > fi;# end if 10; > opt_iter := opt_iter + 1; > od;# end do number 1; > if (( not found_h) and (opt_iter = 1)) then # if number 10 > omniout_str(ALWAYS,"Beginning glob_h too large."); > found_h := false; > fi;# end if 10; > if (glob_check_sign * glob_max_h <= glob_check_sign * glob_h) then # if number 10 > omniout_str(ALWAYS,"SETTING H FOR MAX H"); > glob_h := glob_check_sign * float_abs(glob_max_h); > glob_h_reason := 1; > found_h := true; > fi;# end if 10; > else > found_h := true; > glob_h := glob_h * glob_check_sign; > fi;# end if 9; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 9 > html_log_file := fopen("entry.html",WRITE,TEXT); > fi;# end if 9; > #BEGIN SOLUTION CODE > if (found_h) then # if number 9 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > 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; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 1 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , c(term_no - 1)) / c(factorial_1(term_no - 1)); > term_no := term_no + 1; > od;# end do number 1; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 1 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 2 > it := term_no + r_order - 1; > if (term_no < ATS_MAX_TERMS) then # if number 10 > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , c(term_no - 1)) / (c(factorial_1(term_no - 1))); > fi;# end if 10; > term_no := term_no + 1; > od;# end do number 2; > r_order := r_order + 1; > od;# end do number 1 > ; > 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 # do number 1 > #left paren 0001C > if (reached_interval()) then # if number 10 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 10; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > track_estimated_error(); > atomall(); > track_estimated_error(); > display_alot(current_iter); > if (glob_look_poles) then # if number 10 > check_for_pole(); > fi;# end if 10; > if (reached_interval()) then # if number 10 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 10; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := ATS_MAX_TERMS; > while (iii >= calc_term) do # do number 2 > 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; > od;# end do number 2; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := glob__0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := ATS_MAX_TERMS; > while (iii >= calc_term) do # do number 2 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 2; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , c(calc_term - 1)) / c(factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := ATS_MAX_TERMS; > while (iii >= calc_term) do # do number 2 > 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; > od;# end do number 2; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := glob__0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := ATS_MAX_TERMS; > while (iii >= calc_term) do # do number 2 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 2; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , c(calc_term - 1)) / c(factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := ATS_MAX_TERMS; > while (iii >= calc_term) do # do number 2 > 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; > od;# end do number 2; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := glob__0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := ATS_MAX_TERMS; > while (iii >= calc_term) do # do number 2 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 2; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , c(calc_term - 1)) / c(factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := ATS_MAX_TERMS; > while (term_no >= 1) do # do number 2 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 3 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 3; > term_no := term_no - 1; > od;# end do number 2; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 1;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 10 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 10; > if (elapsed_time_seconds() - (glob_orig_start_sec) >= (glob_max_sec )) then # if number 10 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 10; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; "); > omniout_int(INFO,"Iterations ",32,glob_iter,4," ") > ; > prog_report(x_start,x_end); > if (glob_html_log) then # if number 10 > logstart(html_log_file); > logitem_str(html_log_file,"2015-05-02T21:26:42-05:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"div_exp_exp") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; ") > ; > 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_integer(html_log_file,Digits) > ; > ; > logitem_float(html_log_file,glob_desired_digits_correct) > ; > if (array_est_digits[1] <> -16) then # if number 11 > logitem_integer(html_log_file,array_est_digits[1]) > ; > else > logitem_str(html_log_file,"Unknown") > ; > fi;# end if 11; > if (glob_min_good_digits <> -16) then # if number 11 > logitem_integer(html_log_file,glob_min_good_digits) > ; > else > logitem_str(html_log_file,"Unknown") > ; > fi;# end if 11; > if (glob_good_digits <> -16) then # if number 11 > logitem_integer(html_log_file,glob_good_digits) > ; > else > logitem_str(html_log_file,"Unknown") > ; > fi;# end if 11; > 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 # if number 11 > logitem_str(html_log_file,"Not Given") > ; > logitem_str(html_log_file,"NA") > ; > elif > (glob_type_given_pole = 4) then # if number 12 > logitem_str(html_log_file,"No Solution") > ; > logitem_str(html_log_file,"NA") > ; > elif > (glob_type_given_pole = 5) then # if number 13 > logitem_str(html_log_file,"Some Pole") > ; > logitem_str(html_log_file,"????") > ; > elif > (glob_type_given_pole = 3) then # if number 14 > logitem_str(html_log_file,"No Pole") > ; > logitem_str(html_log_file,"NA") > ; > elif > (glob_type_given_pole = 1) then # if number 15 > logitem_str(html_log_file,"Real Sing") > ; > logitem_float(html_log_file,glob_least_given_sing) > ; > elif > (glob_type_given_pole = 2) then # if number 16 > logitem_str(html_log_file,"Complex Sing") > ; > logitem_float(html_log_file,glob_least_given_sing) > ; > fi;# end if 16; > if (glob_least_ratio_sing < glob_large_float) then # if number 16 > logitem_float(html_log_file,glob_least_ratio_sing) > ; > else > logitem_str(html_log_file,"NONE") > ; > fi;# end if 16; > if (glob_least_3_sing < glob_large_float) then # if number 16 > logitem_float(html_log_file,glob_least_3_sing) > ; > else > logitem_str(html_log_file,"NONE") > ; > fi;# end if 16; > if (glob_least_6_sing < glob_large_float) then # if number 16 > logitem_float(html_log_file,glob_least_6_sing) > ; > else > logitem_str(html_log_file,"NONE") > ; > fi;# end if 16; > logitem_integer(html_log_file,glob_iter) > ; > logitem_time(html_log_file,(glob_clock_sec)) > ; > if (c(glob_percent_done) < glob__100) then # if number 16 > logitem_time(html_log_file,(glob_total_exp_sec)) > ; > 0; > else > logitem_str(html_log_file,"Done") > ; > 0; > fi;# end if 16; > log_revs(html_log_file," 308.maple.seems.ok ") > ; > logitem_str(html_log_file,"div_exp_exp diffeq.mxt") > ; > logitem_str(html_log_file,"div_exp_exp maple results") > ; > logitem_str(html_log_file,"OK") > ; > logend(html_log_file) > ; > ; > fi;# end if 15; > if (glob_html_log) then # if number 15 > fclose(html_log_file); > fi;# end if 15 > ; > ;; > fi;# end if 14 > #END OUTFILEMAIN > end; main := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, max_terms, display_max, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, last_min_pole_est, opt_iter, tmp, subiter, est_needed_step_err, estimated_step_error, min_value, est_answer, found_h, repeat_it; global ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, glob_iolevel, glob_yes_pole, glob_no_pole, glob_not_given, glob_no_sing_tests, glob_ratio_test, glob_three_term_test, glob_six_term_test, glob_log_10, MAX_UNCHANGED, glob__small, glob_small_float, glob_smallish_float, glob_large_float, glob_larger_float, glob__m2, glob__m1, glob__0, glob__1, glob__2, glob__3, glob__4, glob__5, glob__8, glob__10, glob__100, glob__pi, glob__0_5, glob__0_8, glob__m0_8, glob__0_25, glob__0_125, glob_prec, glob_check_sign, glob_desired_digits_correct, glob_max_estimated_step_error, glob_ratio_of_radius, glob_percent_done, glob_total_exp_sec, glob_optimal_expect_sec, glob_estimated_size_answer, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_disp_incr, glob_h, glob_diff_rc_fm, glob_diff_rc_fmm1, glob_diff_rc_fmm2, glob_diff_ord_fm, glob_diff_ord_fmm1, glob_diff_ord_fmm2, glob_six_term_ord_save, glob_guess_error_rc, glob_guess_error_ord, glob_least_given_sing, glob_least_ratio_sing, glob_least_3_sing, glob_least_6_sing, glob_last_good_h, glob_max_h, glob_min_h, glob_display_interval, glob_abserr, glob_relerr, glob_min_pole_est, glob_max_rel_trunc_err, glob_max_trunc_err, glob_max_hours, glob_optimal_clock_start_sec, glob_optimal_start, glob_upper_ratio_limit, glob_lower_ratio_limit, glob_max_sec, glob_orig_start_sec, glob_normmax, glob_max_minutes, glob_next_display, glob_est_digits, glob_subiter_method, glob_html_log, glob_min_good_digits, glob_good_digits, glob_min_apfp_est_good_digits, glob_apfp_est_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_h_reason, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_type_given_pole, glob_optimize, glob_look_poles, glob_dump_closed_form, glob_max_iter, glob_no_eqs, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_start, glob_iter, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_y_init, array_norms, array_fact_1, array_1st_rel_error, array_last_rel_error, array_est_rel_error, array_max_est_error, array_type_pole, array_type_real_pole, array_type_complex_pole, array_est_digits, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_given_rad_poles, array_given_ord_poles, array_rad_test_poles, array_ord_test_poles, array_fact_2, ATS_MAX_TERMS, glob_last; ATS_MAX_TERMS := 30; Digits := 32; max_terms := 30; glob_html_log := true; array_y_init := Array(0 .. 30, []); array_norms := Array(0 .. 30, []); array_fact_1 := Array(0 .. 30, []); array_1st_rel_error := Array(0 .. 2, []); array_last_rel_error := Array(0 .. 2, []); array_est_rel_error := Array(0 .. 2, []); array_max_est_error := Array(0 .. 2, []); array_type_pole := Array(0 .. 2, []); array_type_real_pole := Array(0 .. 2, []); array_type_complex_pole := Array(0 .. 2, []); array_est_digits := Array(0 .. 2, []); array_y := Array(0 .. 30, []); array_x := Array(0 .. 30, []); array_tmp0 := Array(0 .. 30, []); array_tmp1 := Array(0 .. 30, []); array_tmp2 := Array(0 .. 30, []); array_tmp3 := Array(0 .. 30, []); array_tmp4 := Array(0 .. 30, []); array_tmp5 := Array(0 .. 30, []); array_tmp6 := Array(0 .. 30, []); array_m1 := Array(0 .. 30, []); array_y_higher := Array(0 .. 2, 0 .. 31, []); array_y_higher_work := Array(0 .. 2, 0 .. 31, []); array_y_higher_work2 := Array(0 .. 2, 0 .. 31, []); array_y_set_initial := Array(0 .. 2, 0 .. 31, []); array_given_rad_poles := Array(0 .. 2, 0 .. 4, []); array_given_ord_poles := Array(0 .. 2, 0 .. 4, []); array_rad_test_poles := Array(0 .. 2, 0 .. 5, []); array_ord_test_poles := Array(0 .. 2, 0 .. 5, []); array_fact_2 := Array(0 .. 30, 0 .. 31, []); term := 1; while term <= 30 do array_y_init[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_norms[term] := c(0.); term := term + 1 end do ; term := 1; while term <= 30 do array_fact_1[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_1st_rel_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_last_rel_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_est_rel_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_max_est_error[term] := c(0.); term := term + 1 end do; term := 1; while term <= 2 do array_type_pole[term] := 0; term := term + 1 end do; term := 1; while term <= 2 do array_type_real_pole[term] := 0; term := term + 1 end do; term := 1; while term <= 2 do array_type_complex_pole[term] := 0; term := term + 1 end do; term := 1; while term <= 2 do array_est_digits[term] := 0; term := term + 1 end do ; term := 1; while term <= 30 do array_y[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_x[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_tmp0[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_tmp1[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_tmp2[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_tmp3[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_tmp4[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_tmp5[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_tmp6[term] := c(0.); term := term + 1 end do; term := 1; while term <= 30 do array_m1[term] := c(0.); term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 30 do array_y_higher[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 30 do array_y_higher_work[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 30 do array_y_higher_work2[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 30 do array_y_set_initial[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_given_rad_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 3 do array_given_ord_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 4 do array_rad_test_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= 4 do array_ord_test_poles[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 30 do term := 1; while term <= 30 do array_fact_2[ord, term] := c(0.); term := term + 1 end do; ord := ord + 1 end do; zero_ats_ar(array_y); zero_ats_ar(array_x); zero_ats_ar(array_tmp0); zero_ats_ar(array_tmp1); zero_ats_ar(array_tmp2); zero_ats_ar(array_tmp3); zero_ats_ar(array_tmp4); zero_ats_ar(array_tmp5); zero_ats_ar(array_tmp6); zero_ats_ar(array_m1); zero_ats_ar(array_const_1); array_const_1[1] := c(1); zero_ats_ar(array_const_0D0); array_const_0D0[1] := c(0.); 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_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 := jjjf + 1 end do; iiif := iiif + 1 end do; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := 5; glob_yes_pole := 4; glob_no_pole := 3; glob_not_given := 0; glob_no_sing_tests := 4; glob_ratio_test := 1; glob_three_term_test := 2; glob_six_term_test := 3; glob_log_10 := log(c(10.0)); MAX_UNCHANGED := 10; glob__small := c(0.1*10^(-50)); glob_small_float := c(0.1*10^(-50)); glob_smallish_float := c(0.1*10^(-60)); glob_large_float := c(0.10*10^101); glob_larger_float := c(0.11*10^101); glob__m2 := c(-2); glob__m1 := c(-1); glob__0 := c(0); glob__1 := c(1); glob__2 := c(2); glob__3 := c(3); glob__4 := c(4); glob__5 := c(5); glob__8 := c(8); glob__10 := c(10); glob__100 := c(100); glob__pi := c(0.); glob__0_5 := c(0.5); glob__0_8 := c(0.8); glob__m0_8 := c(-0.8); glob__0_25 := c(0.25); glob__0_125 := c(0.125); glob_prec := c(0.10*10^(-15)); glob_check_sign := c(1.0); glob_desired_digits_correct := c(8.0); glob_max_estimated_step_error := c(0.); glob_ratio_of_radius := c(0.1); glob_percent_done := c(0.); glob_total_exp_sec := c(0.1); glob_optimal_expect_sec := c(0.1); glob_estimated_size_answer := c(100.0); glob_almost_1 := c(0.9990); glob_clock_sec := c(0.); glob_clock_start_sec := c(0.); glob_disp_incr := c(0.1); glob_h := c(0.1); glob_diff_rc_fm := c(0.1); glob_diff_rc_fmm1 := c(0.1); glob_diff_rc_fmm2 := c(0.1); glob_diff_ord_fm := c(0.1); glob_diff_ord_fmm1 := c(0.1); glob_diff_ord_fmm2 := c(0.1); glob_six_term_ord_save := c(0.1); glob_guess_error_rc := c(0.1); glob_guess_error_ord := c(0.1); glob_least_given_sing := c(0.99*10^201); glob_least_ratio_sing := c(0.99*10^201); glob_least_3_sing := c(0.99*10^101); glob_least_6_sing := c(0.99*10^101); glob_last_good_h := c(0.1); glob_max_h := c(0.1); glob_min_h := c(0.1*10^(-5)); glob_display_interval := c(0.1); glob_abserr := c(0.1*10^(-10)); glob_relerr := c(0.1*10^(-10)); glob_min_pole_est := c(0.1*10^10); glob_max_rel_trunc_err := c(0.1*10^(-10)); glob_max_trunc_err := c(0.1*10^(-10)); glob_max_hours := c(0.); glob_optimal_clock_start_sec := c(0.); glob_optimal_start := c(0.); glob_upper_ratio_limit := c(1.0001); glob_lower_ratio_limit := c(0.9999); glob_max_sec := c(10000.0); glob_orig_start_sec := c(0.); glob_normmax := c(0.); glob_max_minutes := c(0.); glob_next_display := c(0.); glob_est_digits := 1; glob_subiter_method := 3; glob_html_log := true; glob_min_good_digits := 99999; glob_good_digits := 0; glob_min_apfp_est_good_digits := 99999; glob_apfp_est_good_digits := 0; glob_max_opt_iter := 10; glob_dump := false; glob_djd_debug := true; glob_display_flag := true; glob_djd_debug2 := true; glob_h_reason := 0; glob_sec_in_minute := 60; glob_min_in_hour := 60; glob_hours_in_day := 24; glob_days_in_year := 365; glob_sec_in_hour := 3600; glob_sec_in_day := 86400; glob_sec_in_year := 31536000; glob_not_yet_finished := true; glob_initial_pass := true; glob_not_yet_start_msg := true; glob_reached_optimal_h := false; glob_optimal_done := false; glob_type_given_pole := 0; glob_optimize := false; glob_look_poles := false; glob_dump_closed_form := false; glob_max_iter := 1000; glob_no_eqs := 0; glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_start := 0; glob_iter := 0; 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; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; ATS_MAX_TERMS := 30; glob_iolevel := INFO; 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.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/div_exp_exppostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = exp ( 0.1 * x \ ) / exp ( 0.2 * x ) ; "); 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(1.0000001);"); omniout_str(ALWAYS, "glob_lower_ratio_limit:=c(0.9999999);"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_h:=c(0.005);"); 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 := proc(x)"); omniout_str(ALWAYS, ""); omniout_str(ALWAYS, "return(c(-10.0) * (exp(c(0.1) * c(x))/exp(c(0.2)*c(x))));"); omniout_str(ALWAYS, "end;"); 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(0.10*10^101); glob_larger_float := c(0.11*10^101); glob_almost_1 := c(0.99); x_start := c(-5.0); x_end := c(5.0); array_y_init[1] := 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(1.0000001); glob_lower_ratio_limit := c(0.9999999); glob_look_poles := true; glob_h := c(0.005); glob_display_interval := c(0.01); glob_last_good_h := glob_h; glob_max_sec := 60.0*glob_max_minutes + 3600.0*glob_max_hours; glob_check_sign := c(my_check_sign(x_start, x_end)); glob__pi := arccos(glob__m1); glob_prec = expt(10.0, c(-Digits)); 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 := float_abs(glob_min_h)*glob_check_sign; glob_max_h := float_abs(glob_max_h)*glob_check_sign; glob_h := float_abs(glob_min_h)*glob_check_sign; glob_display_interval := c(float_abs(c(glob_display_interval))*glob_check_sign); display_max := c(x_end) - c(x_start)/glob__10; if display_max < glob_display_interval then glob_display_interval := c(display_max) end if; 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 := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; 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)) end if; term_no := term_no + 1 end do; r_order := r_order + 1 end do; atomall(); if glob_check_sign*glob_h <= glob_check_sign*glob_min_h then omniout_str(ALWAYS, "SETTING H FOR MIN H"); glob_h := float_abs(glob_min_h)*glob_check_sign; glob_h_reason := 1; found_h := true end if; 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 end if; if glob_look_poles then check_for_pole() end if; 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 end if end if; opt_iter := opt_iter + 1 end do; if not found_h and opt_iter = 1 then omniout_str(ALWAYS, "Beginning glob_h too large."); found_h := false end if; if glob_check_sign*glob_max_h <= glob_check_sign*glob_h then omniout_str(ALWAYS, "SETTING H FOR MAX H"); glob_h := float_abs(glob_max_h)*glob_check_sign; glob_h_reason := 1; found_h := true end if else found_h := true; glob_h := glob_check_sign*glob_h end if; if glob_html_log then html_log_file := fopen("entry.html", WRITE, TEXT) end if; 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 := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; 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)) end if; term_no := term_no + 1 end do; r_order := r_order + 1 end do; 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") end if; glob_iter := glob_iter + 1; 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() end if; if reached_interval() then glob_next_display := glob_next_display + glob_display_interval end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; ord := 2; calc_term := 1; iii := ATS_MAX_TERMS; while calc_term <= iii 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 end do; temp_sum := glob__0; ord := 2; calc_term := 1; iii := ATS_MAX_TERMS; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; 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 calc_term <= iii 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 end do; temp_sum := glob__0; ord := 1; calc_term := 2; iii := ATS_MAX_TERMS; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; 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 calc_term <= iii 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 end do; temp_sum := glob__0; ord := 1; calc_term := 1; iii := ATS_MAX_TERMS; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; 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 1 <= term_no 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 := ord + 1 end do; term_no := term_no - 1 end do end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if glob_max_sec <= elapsed_time_seconds() - glob_orig_start_sec then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = exp ( 0.1 * \ x ) / exp ( 0.2 * x ) ; "); 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, "2015-05-02T21:26:42-05:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "div_exp_exp"); logitem_str(html_log_file, "diff ( y , x , 1 ) = e\ xp ( 0.1 * x ) / exp ( 0.2 * x ) ; "); 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_integer(html_log_file, Digits); 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]) else logitem_str(html_log_file, "Unknown") end if; if glob_min_good_digits <> -16 then logitem_integer(html_log_file, glob_min_good_digits) else logitem_str(html_log_file, "Unknown") end if; if glob_good_digits <> -16 then logitem_integer(html_log_file, glob_good_digits) else logitem_str(html_log_file, "Unknown") end if; 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") elif glob_type_given_pole = 4 then logitem_str(html_log_file, "No Solution"); logitem_str(html_log_file, "NA") elif glob_type_given_pole = 5 then logitem_str(html_log_file, "Some Pole"); logitem_str(html_log_file, "????") elif glob_type_given_pole = 3 then logitem_str(html_log_file, "No Pole"); logitem_str(html_log_file, "NA") elif glob_type_given_pole = 1 then logitem_str(html_log_file, "Real Sing"); logitem_float(html_log_file, glob_least_given_sing) elif glob_type_given_pole = 2 then logitem_str(html_log_file, "Complex Sing"); logitem_float(html_log_file, glob_least_given_sing) end if; if glob_least_ratio_sing < glob_large_float then logitem_float(html_log_file, glob_least_ratio_sing) else logitem_str(html_log_file, "NONE") end if; if glob_least_3_sing < glob_large_float then logitem_float(html_log_file, glob_least_3_sing) else logitem_str(html_log_file, "NONE") end if; if glob_least_6_sing < glob_large_float then logitem_float(html_log_file, glob_least_6_sing) else logitem_str(html_log_file, "NONE") end if; 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 end if; log_revs(html_log_file, " 308.maple.seems.ok "); logitem_str(html_log_file, "div_exp_exp diffeq.mxt"); logitem_str(html_log_file, "div_exp_exp maple results"); logitem_str(html_log_file, "OK"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end if end proc # End Function number 12 > main(); ##############ECHO OF PROBLEM################# ##############temp/div_exp_exppostode.ode################# diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; ! #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(1.0000001); glob_lower_ratio_limit:=c(0.9999999); glob_look_poles:=true; glob_h:=c(0.005); glob_display_interval:=c(0.01); #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(c(-10.0) * (exp(c(0.1) * c(x))/exp(c(0.2)*c(x)))); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -5 y[1] (closed_form) = -16.487212707001281468486507878142 y[1] (numeric) = -16.487212707001281468486507878142 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=4.1MB, alloc=40.3MB, time=0.13 TOP MAIN SOLVE Loop x[1] = -4.99 y[1] (closed_form) = -16.470733735153451732984123499494 y[1] (numeric) = -16.470733735153451732984123499494 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.98 y[1] (closed_form) = -16.454271234040729712123820264918 y[1] (numeric) = -16.454271234040729712123820264918 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.97 y[1] (closed_form) = -16.437825187200612921308438858105 y[1] (numeric) = -16.437825187200612921308438858104 absolute error = 1e-30 relative error = 6.0835298381117626924735919546976e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.96 y[1] (closed_form) = -16.421395578187053149917239437143 y[1] (numeric) = -16.421395578187053149917239437142 absolute error = 1e-30 relative error = 6.0896164107289686818471594274351e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.95 y[1] (closed_form) = -16.404982390570440015256320509714 y[1] (numeric) = -16.404982390570440015256320509713 absolute error = 1e-30 relative error = 6.0957090729630928682405517628321e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.94 y[1] (closed_form) = -16.38858560793758453294686710495 y[1] (numeric) = -16.388585607937584532946867104949 absolute error = 1e-30 relative error = 6.1018078309067979934998251220249e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.93 y[1] (closed_form) = -16.372205213891702703734798628821 y[1] (numeric) = -16.37220521389170270373479862882 absolute error = 1e-30 relative error = 6.1079126906588425095599503473753e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.92 y[1] (closed_form) = -16.355841192052399116705403211345 y[1] (numeric) = -16.355841192052399116705403211343 absolute error = 2e-30 relative error = 1.2228047316648173354407546254657e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.91 y[1] (closed_form) = -16.339493526055650568886561758877 y[1] (numeric) = -16.339493526055650568886561758875 absolute error = 2e-30 relative error = 1.2240281480026997341845567035265e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.9 y[1] (closed_form) = -16.323162199553789701224181313345 y[1] (numeric) = -16.323162199553789701224181313343 absolute error = 2e-30 relative error = 1.2252527883688321379771599360381e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.89 y[1] (closed_form) = -16.3068471962154886509134736925 y[1] (numeric) = -16.306847196215488650913473692499 absolute error = 1e-30 relative error = 6.1323932699392750750216768087480e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.88 y[1] (closed_form) = -16.290548499725742720069731741093 y[1] (numeric) = -16.290548499725742720069731741092 absolute error = 1e-30 relative error = 6.1385287304281704322221583246258e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.87 y[1] (closed_form) = -16.274266093785854060722271862396 y[1] (numeric) = -16.274266093785854060722271862395 absolute error = 1e-30 relative error = 6.1446703294463077616709925458648e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.86 y[1] (closed_form) = -16.257999962113415376115227822654 y[1] (numeric) = -16.257999962113415376115227822654 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.85 y[1] (closed_form) = -16.241750088442293638298897127901 y[1] (numeric) = -16.241750088442293638298897127901 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.84 y[1] (closed_form) = -16.225516456522613821995357563121 y[1] (numeric) = -16.225516456522613821995357563122 absolute error = 1e-30 relative error = 6.1631320191228963873927624447537e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.83 y[1] (closed_form) = -16.209299050120742654722087758035 y[1] (numeric) = -16.209299050120742654722087758036 absolute error = 1e-30 relative error = 6.1692982337354743636176230434308e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.82 y[1] (closed_form) = -16.193097853019272383157341901757 y[1] (numeric) = -16.193097853019272383157341901758 absolute error = 1e-30 relative error = 6.1754706176468001835201288224386e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.81 y[1] (closed_form) = -16.176912849017004555731044970359 y[1] (numeric) = -16.176912849017004555731044970359 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.8 y[1] (closed_form) = -16.16074402192893382142499105688 y[1] (numeric) = -16.16074402192893382142499105688 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.79 y[1] (closed_form) = -16.144591355586231744766143602628 y[1] (numeric) = -16.144591355586231744766143602628 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.78 y[1] (closed_form) = -16.128454833836230636996852521731 y[1] (numeric) = -16.128454833836230636996852521731 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.77 y[1] (closed_form) = -16.112334440542407403405819387801 y[1] (numeric) = -16.1123344405424074034058193878 absolute error = 1e-30 relative error = 6.2064252929343731380756558268122e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.76 y[1] (closed_form) = -16.09623015958436740680365801233 y[1] (numeric) = -16.096230159584367406803658012329 absolute error = 1e-30 relative error = 6.2126348224746168466720670168633e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.75 y[1] (closed_form) = -16.080141974857828347126913889043 y[1] (numeric) = -16.080141974857828347126913889042 absolute error = 1e-30 relative error = 6.2188505646502007494711217496447e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.74 y[1] (closed_form) = -16.06406987027460415715442210687 y[1] (numeric) = -16.06406987027460415715442210687 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.73 y[1] (closed_form) = -16.04801382976258891431989944657 y[1] (numeric) = -16.048013829762588914319899446569 absolute error = 1e-30 relative error = 6.2313007117765787635280260039821e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.72 y[1] (closed_form) = -16.031973837265740768604682472234 y[1] (numeric) = -16.031973837265740768604682472234 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.71 y[1] (closed_form) = -16.0159498767440658864945395091 y[1] (numeric) = -16.015949876744065886494539509099 absolute error = 1e-30 relative error = 6.2437757841141122859568066811075e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.7 y[1] (closed_form) = -15.999941932173602410984500463114 y[1] (numeric) = -15.999941932173602410984500463114 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.69 y[1] (closed_form) = -15.983949987546404437615664485769 y[1] (numeric) = -15.983949987546404437615664485769 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.68 y[1] (closed_form) = -15.96797402687052600652796151966 y[1] (numeric) = -15.967974026870526006527961519661 absolute error = 1e-30 relative error = 6.2625352365755595580753505040970e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.67 y[1] (closed_form) = -15.952014034170005110512859776214 y[1] (numeric) = -15.952014034170005110512859776215 absolute error = 1e-30 relative error = 6.2688009041237702693404816467282e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.66 y[1] (closed_form) = -15.936069993484847719050027196939 y[1] (numeric) = -15.936069993484847719050027196941 absolute error = 2e-30 relative error = 1.2550145680946815008937278227039e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=42.8MB, alloc=44.3MB, time=0.56 TOP MAIN SOLVE Loop x[1] = -4.65 y[1] (closed_form) = -15.920141888871011818311970933552 y[1] (numeric) = -15.920141888871011818311970933554 absolute error = 2e-30 relative error = 1.2562702103792816271516875848886e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.64 y[1] (closed_form) = -15.904229704400391467120694850268 y[1] (numeric) = -15.90422970440039146712069485027 absolute error = 2e-30 relative error = 1.2575271089341968218789624117655e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.63 y[1] (closed_form) = -15.888333424160800868840431003602 y[1] (numeric) = -15.888333424160800868840431003604 absolute error = 2e-30 relative error = 1.2587852650163257447322967649272e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.62 y[1] (closed_form) = -15.872453032255958459190516991073 y[1] (numeric) = -15.872453032255958459190516991075 absolute error = 2e-30 relative error = 1.2600446798838245826869571699962e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.61 y[1] (closed_form) = -15.856588512805471009962506980365 y[1] (numeric) = -15.856588512805471009962506980366 absolute error = 1e-30 relative error = 6.3065267739805415409651201912212e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.6 y[1] (closed_form) = -15.840739849944817748625620134736 y[1] (numeric) = -15.840739849944817748625620134737 absolute error = 1e-30 relative error = 6.3128364550692596929523453396177e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.59 y[1] (closed_form) = -15.824907027825334493804646038798 y[1] (numeric) = -15.824907027825334493804646038799 absolute error = 1e-30 relative error = 6.3191524489949589839213882024664e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.58 y[1] (closed_form) = -15.809090030614197806614442601243 y[1] (numeric) = -15.809090030614197806614442601244 absolute error = 1e-30 relative error = 6.3254747620736338659043844348459e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.57 y[1] (closed_form) = -15.793288842494409157835177767706 y[1] (numeric) = -15.793288842494409157835177767707 absolute error = 1e-30 relative error = 6.3318034006275979444356568046403e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.56 y[1] (closed_form) = -15.777503447664779110912482217678 y[1] (numeric) = -15.777503447664779110912482217679 absolute error = 1e-30 relative error = 6.3381383709854903008658475863472e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.55 y[1] (closed_form) = -15.761733830339911520766696044306 y[1] (numeric) = -15.761733830339911520766696044307 absolute error = 1e-30 relative error = 6.3444796794822818210015272983274e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.54 y[1] (closed_form) = -15.745979974750187748395408225012 y[1] (numeric) = -15.745979974750187748395408225013 absolute error = 1e-30 relative error = 6.3508273324592815300766084236332e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.53 y[1] (closed_form) = -15.730241865141750891253503484149 y[1] (numeric) = -15.730241865141750891253503484151 absolute error = 2e-30 relative error = 1.2714362672528285868123798172716e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.52 y[1] (closed_form) = -15.714519485776490029394946926437 y[1] (numeric) = -15.714519485776490029394946926438 absolute error = 1e-30 relative error = 6.3635416972508703673191379935867e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.51 y[1] (closed_form) = -15.698812820932024487360552581636 y[1] (numeric) = -15.698812820932024487360552581638 absolute error = 2e-30 relative error = 1.2739816843559650693211716595029e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.5 y[1] (closed_form) = -15.683121854901688111795997746932 y[1] (numeric) = -15.683121854901688111795997746934 absolute error = 2e-30 relative error = 1.2752563032435465862874868766245e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.49 y[1] (closed_form) = -15.667446571994513564784360743721 y[1] (numeric) = -15.667446571994513564784360743723 absolute error = 2e-30 relative error = 1.2765321973875376181625343887985e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.48 y[1] (closed_form) = -15.651786956535216632877475420034 y[1] (numeric) = -15.651786956535216632877475420035 absolute error = 1e-30 relative error = 6.3890468403191620763093080723779e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.47 y[1] (closed_form) = -15.636142992864180551810411428642 y[1] (numeric) = -15.636142992864180551810411428643 absolute error = 1e-30 relative error = 6.3954390827480088015557944595622e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.46 y[1] (closed_form) = -15.620514665337440346883404994018 y[1] (numeric) = -15.62051466533744034688340499402 absolute error = 2e-30 relative error = 1.2803675441232942456171486357644e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.45 y[1] (closed_form) = -15.604901958326667188995580548785 y[1] (numeric) = -15.604901958326667188995580548787 absolute error = 2e-30 relative error = 1.2816485520646375515162841811936e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.44 y[1] (closed_form) = -15.589304856219152766314819272056 y[1] (numeric) = -15.589304856219152766314819272058 absolute error = 2e-30 relative error = 1.2829308416546397261025367643002e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.43 y[1] (closed_form) = -15.573723343417793671568146198251 y[1] (numeric) = -15.573723343417793671568146198253 absolute error = 2e-30 relative error = 1.2842144141755904662355503667666e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.42 y[1] (closed_form) = -15.558157404341075804937023185458 y[1] (numeric) = -15.55815740434107580493702318546 absolute error = 2e-30 relative error = 1.2854992709110623998304454329810e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.41 y[1] (closed_form) = -15.542607023423058792541950637345 y[1] (numeric) = -15.542607023423058792541950637346 absolute error = 1e-30 relative error = 6.4339270657295618471527687477292e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.4 y[1] (closed_form) = -15.527072185113360420500796461917 y[1] (numeric) = -15.527072185113360420500796461918 absolute error = 1e-30 relative error = 6.4403642108314135853218403000896e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.39 y[1] (closed_form) = -15.511552873877141084545286324161 y[1] (numeric) = -15.511552873877141084545286324162 absolute error = 1e-30 relative error = 6.4468077962980128519399563596606e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.38 y[1] (closed_form) = -15.496049074195088255180104807756 y[1] (numeric) = -15.496049074195088255180104807757 absolute error = 1e-30 relative error = 6.4532578285729456505718569933463e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.37 y[1] (closed_form) = -15.480560770563400958369072643675 y[1] (numeric) = -15.480560770563400958369072643676 absolute error = 1e-30 relative error = 6.4597143141062447936530483275368e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.36 y[1] (closed_form) = -15.465087947493774271732880690543 y[1] (numeric) = -15.465087947493774271732880690544 absolute error = 1e-30 relative error = 6.4661772593543963525231524863684e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.35 y[1] (closed_form) = -15.449630589513383836242876863213 y[1] (numeric) = -15.449630589513383836242876863214 absolute error = 1e-30 relative error = 6.4726466707803461139125169718676e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.34 y[1] (closed_form) = -15.43418868116487038339541770204 y[1] (numeric) = -15.434188681164870383395417702041 absolute error = 1e-30 relative error = 6.4791225548535060428885399731327e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.33 y[1] (closed_form) = -15.418762207006324277851311755918 y[1] (numeric) = -15.41876220700632427785131175592 absolute error = 2e-30 relative error = 1.2971209836099521504536349102831e-29 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.32 y[1] (closed_form) = -15.403351151611270075524897417249 y[1] (numeric) = -15.40335115161127007552489741725 absolute error = 1e-30 relative error = 6.4920937668514739785030811141404e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.31 y[1] (closed_form) = -15.387955499568651097107313296613 y[1] (numeric) = -15.387955499568651097107313296614 absolute error = 1e-30 relative error = 6.4985891077474950640439040635637e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.3 y[1] (closed_form) = -15.372575235482814017008534659144 y[1] (numeric) = -15.372575235482814017008534659145 absolute error = 1e-30 relative error = 6.5050909472331654461901549848791e-30 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.29 y[1] (closed_form) = -15.35721034397349346770276486335 y[1] (numeric) = -15.357210343973493467702764863351 absolute error = 1e-30 relative error = 6.5115992918103251524321912242016e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.28 y[1] (closed_form) = -15.341860809675796659461786146494 y[1] (numeric) = -15.341860809675796659461786146495 absolute error = 1e-30 relative error = 6.5181141479873193022917851989448e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.27 y[1] (closed_form) = -15.3265266172401880154608894886 y[1] (numeric) = -15.326526617240188015460889488601 absolute error = 1e-30 relative error = 6.5246355222790046156677862817052e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.26 y[1] (closed_form) = -15.311207751332473822242018659738 y[1] (numeric) = -15.311207751332473822242018659739 absolute error = 1e-30 relative error = 6.5311634212067559276933836038555e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 memory used=87.8MB, alloc=52.3MB, time=1.06 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.25 y[1] (closed_form) = -15.295904196633786895518778912449 y[1] (numeric) = -15.29590419663378689551877891245 absolute error = 1e-30 relative error = 6.5376978512984727101114846366549e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.24 y[1] (closed_form) = -15.280615937840571261307976123041 y[1] (numeric) = -15.280615937840571261307976123042 absolute error = 1e-30 relative error = 6.5442388190885855991747309257981e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.23 y[1] (closed_form) = -15.265342959664566852372367512021 y[1] (numeric) = -15.265342959664566852372367512023 absolute error = 2e-30 relative error = 1.3101572662236125860153357759923e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.22 y[1] (closed_form) = -15.25008524683279421995932038514 y[1] (numeric) = -15.250085246832794219959320385142 absolute error = 2e-30 relative error = 1.3114680787868834555841360090140e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.21 y[1] (closed_form) = -15.23484278408753926082009063243 y[1] (numeric) = -15.234842784087539260820090632432 absolute error = 2e-30 relative error = 1.3127802028183424010466003667436e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.2 y[1] (closed_form) = -15.219615556186337959494448003237 y[1] (numeric) = -15.21961555618633795949444800324 absolute error = 3e-30 relative error = 1.9711404594451703448080208670199e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.19 y[1] (closed_form) = -15.204403547901961145845390440622 y[1] (numeric) = -15.204403547901961145845390440625 absolute error = 3e-30 relative error = 1.9731125858034507949269151464036e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.18 y[1] (closed_form) = -15.189206744022399267828705008548 y[1] (numeric) = -15.18920674402239926782870500855 absolute error = 2e-30 relative error = 1.3167244568496543163672681168847e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.17 y[1] (closed_form) = -15.174025129350847179482148180159 y[1] (numeric) = -15.174025129350847179482148180162 absolute error = 3e-30 relative error = 1.9770627598323620192189563139438e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.16 y[1] (closed_form) = -15.158858688705688944119033475074 y[1] (numeric) = -15.158858688705688944119033475077 absolute error = 3e-30 relative error = 1.9790408114531671514845075427827e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.15 y[1] (closed_form) = -15.143707406920482652711029637988 y[1] (numeric) = -15.143707406920482652711029637991 absolute error = 3e-30 relative error = 1.9810208421149486569903286890773e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.14 y[1] (closed_form) = -15.128571268843945257444987740145 y[1] (numeric) = -15.128571268843945257444987740148 absolute error = 3e-30 relative error = 1.9830028537977373625204859071928e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.13 y[1] (closed_form) = -15.113450259339937420438630759226 y[1] (numeric) = -15.113450259339937420438630759228 absolute error = 2e-30 relative error = 1.3233245656556967440208869768444e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.12 y[1] (closed_form) = -15.098344363287448377599954352081 y[1] (numeric) = -15.098344363287448377599954352083 absolute error = 2e-30 relative error = 1.3246485521042445124423412461462e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.11 y[1] (closed_form) = -15.083253565580580817615202678457 y[1] (numeric) = -15.08325356558058081761520267846 absolute error = 3e-30 relative error = 1.9889607948021821587369943363138e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.1 y[1] (closed_form) = -15.068177851128535776050298262424 y[1] (numeric) = -15.068177851128535776050298262427 absolute error = 3e-30 relative error = 1.9909507504089580977310606134443e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.09 y[1] (closed_form) = -15.053117204855597544550619991671 y[1] (numeric) = -15.053117204855597544550619991674 absolute error = 3e-30 relative error = 1.9929426969666503582512891203268e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.08 y[1] (closed_form) = -15.038071611701118595124038453205 y[1] (numeric) = -15.038071611701118595124038453208 absolute error = 3e-30 relative error = 1.9949366364672056639854923847297e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.07 y[1] (closed_form) = -15.023041056619504519492132887216 y[1] (numeric) = -15.023041056619504519492132887219 absolute error = 3e-30 relative error = 1.9969325709045636816506067258530e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.06 y[1] (closed_form) = -15.008025524580198983494529109084 y[1] (numeric) = -15.008025524580198983494529109086 absolute error = 2e-30 relative error = 1.3326203348497726766216834219386e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.05 y[1] (closed_form) = -14.993025000567668696531312802597 y[1] (numeric) = -14.9930250005676686965313128026 absolute error = 3e-30 relative error = 2.0009304325754232004208672789004e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.04 y[1] (closed_form) = -14.97803946958138839602848762556 y[1] (numeric) = -14.978039469581388396028487625563 absolute error = 3e-30 relative error = 2.0029323638067867055406826045499e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.03 y[1] (closed_form) = -14.96306891663582584691146259198 y[1] (numeric) = -14.963068916635825846911462591983 absolute error = 3e-30 relative error = 2.0049362979706809284830844042173e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.02 y[1] (closed_form) = -14.948113326760426856071568203083 y[1] (numeric) = -14.948113326760426856071568203086 absolute error = 3e-30 relative error = 2.0069422370710402001368148446403e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4.01 y[1] (closed_form) = -14.933172684999600301810615792418 y[1] (numeric) = -14.933172684999600301810615792422 absolute error = 4e-30 relative error = 2.6786002441517383840303237976114e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -4 y[1] (closed_form) = -14.918246976412703178248529528372 y[1] (numeric) = -14.918246976412703178248529528376 absolute error = 4e-30 relative error = 2.6812801841425572029777317005913e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.99 y[1] (closed_form) = -14.903336186074025654679095480461 y[1] (numeric) = -14.903336186074025654679095480465 absolute error = 4e-30 relative error = 2.6839628054137836045051357950478e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.98 y[1] (closed_form) = -14.888440299072776149858887103929 y[1] (numeric) = -14.888440299072776149858887103932 absolute error = 3e-30 relative error = 2.0149860829860293125430382467331e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.97 y[1] (closed_form) = -14.87355930051306642121444143031 y[1] (numeric) = -14.873559300513066421214441430313 absolute error = 3e-30 relative error = 2.0170020768979718232490498763251e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.96 y[1] (closed_form) = -14.858693175513896668952775169906 y[1] (numeric) = -14.858693175513896668952775169909 absolute error = 3e-30 relative error = 2.0190200878121593154388957029326e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.95 y[1] (closed_form) = -14.843841909209140655060344835447 y[1] (numeric) = -14.84384190920914065506034483545 absolute error = 3e-30 relative error = 2.0210401177466028714676497042784e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.94 y[1] (closed_form) = -14.829005486747530837175569884649 y[1] (numeric) = -14.829005486747530837175569884652 absolute error = 3e-30 relative error = 2.0230621687213325941147013906072e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.93 y[1] (closed_form) = -14.814183893292643517320052752968 y[1] (numeric) = -14.81418389329264351732005275297 absolute error = 2e-30 relative error = 1.3500574951722664177426846132816e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.92 y[1] (closed_form) = -14.799377114022884005473644506515 y[1] (numeric) = -14.799377114022884005473644506518 absolute error = 3e-30 relative error = 2.0271123418818781747055008362306e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.91 y[1] (closed_form) = -14.78458513413147179797851968898 y[1] (numeric) = -14.784585134131471797978519688983 absolute error = 3e-30 relative error = 2.0291404681178675307092704822711e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.9 y[1] (closed_form) = -14.769807938826425770757438765387 y[1] (numeric) = -14.769807938826425770757438765391 absolute error = 4e-30 relative error = 2.7082274979926587995002895483697e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.89 y[1] (closed_form) = -14.755045513330549387331391379721 y[1] (numeric) = -14.755045513330549387331391379725 absolute error = 4e-30 relative error = 2.7109370800558845696793735298628e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.88 y[1] (closed_form) = -14.740297842881415921621828442831 y[1] (numeric) = -14.740297842881415921621828442835 absolute error = 4e-30 relative error = 2.7136493730564163071738955620227e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.87 y[1] (closed_form) = -14.725564912731353695522705851613 y[1] (numeric) = -14.725564912731353695522705851617 absolute error = 4e-30 relative error = 2.7163643797065472385400173844968e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=132.9MB, alloc=52.3MB, time=1.56 TOP MAIN SOLVE Loop x[1] = -3.86 y[1] (closed_form) = -14.710846708147431331227577410286 y[1] (numeric) = -14.71084670814743133122757741029 absolute error = 4e-30 relative error = 2.7190821027212842401592320826698e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.85 y[1] (closed_form) = -14.696143214411443018296989279622 y[1] (numeric) = -14.696143214411443018296989279626 absolute error = 4e-30 relative error = 2.7218025448183505532454667197374e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.84 y[1] (closed_form) = -14.681454416819893795451443020301 y[1] (numeric) = -14.681454416819893795451443020305 absolute error = 4e-30 relative error = 2.7245257087181885015685500275773e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.83 y[1] (closed_form) = -14.666780300683984847075209022125 y[1] (numeric) = -14.666780300683984847075209022129 absolute error = 4e-30 relative error = 2.7272515971439622118967628801130e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.82 y[1] (closed_form) = -14.652120851329598814416286821681 y[1] (numeric) = -14.652120851329598814416286821684 absolute error = 3e-30 relative error = 2.0474851596161702528708939939589e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.81 y[1] (closed_form) = -14.637476054097285121467823507183 y[1] (numeric) = -14.637476054097285121467823507186 absolute error = 3e-30 relative error = 2.0495336688596990867584575051265e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.8 y[1] (closed_form) = -14.6228458943422453155163160907 y[1] (numeric) = -14.622845894342245315516316090704 absolute error = 4e-30 relative error = 2.7354456368494234330976078651432e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.79 y[1] (closed_form) = -14.608230357434318422341938394742 y[1] (numeric) = -14.608230357434318422341938394746 absolute error = 4e-30 relative error = 2.7381824506651128870847080665828e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.78 y[1] (closed_form) = -14.593629428757966316056347652308 y[1] (numeric) = -14.593629428757966316056347652312 absolute error = 4e-30 relative error = 2.7409220026634811880631901746367e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.77 y[1] (closed_form) = -14.579043093712259103563340656996 y[1] (numeric) = -14.579043093712259103563340657 absolute error = 4e-30 relative error = 2.7436642955840805626973626416787e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.76 y[1] (closed_form) = -14.564471337710860523627743922601 y[1] (numeric) = -14.564471337710860523627743922604 absolute error = 3e-30 relative error = 2.0598069991269031200832633269821e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.75 y[1] (closed_form) = -14.549914146182013360537936919875 y[1] (numeric) = -14.549914146182013360537936919878 absolute error = 3e-30 relative error = 2.0618678363729165956356070174396e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.74 y[1] (closed_form) = -14.535371504568524872347422051772 y[1] (numeric) = -14.535371504568524872347422051775 absolute error = 3e-30 relative error = 2.0639307354869382664299714973125e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.73 y[1] (closed_form) = -14.520843398327752233680869607509 y[1] (numeric) = -14.520843398327752233680869607512 absolute error = 3e-30 relative error = 2.0659956985318674183962927930466e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.72 y[1] (closed_form) = -14.506329812931587993090080500295 y[1] (numeric) = -14.506329812931587993090080500298 absolute error = 3e-30 relative error = 2.0680627275726672685439823510680e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.71 y[1] (closed_form) = -14.491830733866445544945324143472 y[1] (numeric) = -14.491830733866445544945324143474 absolute error = 2e-30 relative error = 1.3800878831175780199502107516451e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.7 y[1] (closed_form) = -14.477346146633244615847523355192 y[1] (numeric) = -14.477346146633244615847523355195 absolute error = 3e-30 relative error = 2.0722029919120639786648198927184e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.69 y[1] (closed_form) = -14.462876036747396765546772702613 y[1] (numeric) = -14.462876036747396765546772702616 absolute error = 3e-30 relative error = 2.0742762313509255230567177809786e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.68 y[1] (closed_form) = -14.448420389738790902352691202912 y[1] (numeric) = -14.448420389738790902352691202915 absolute error = 3e-30 relative error = 2.0763515450661912747325131816068e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.67 y[1] (closed_form) = -14.433979191151778813022124790276 y[1] (numeric) = -14.433979191151778813022124790279 absolute error = 3e-30 relative error = 2.0784289351331751219007731406382e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.66 y[1] (closed_form) = -14.419552426545160707109728435358 y[1] (numeric) = -14.41955242654516070710972843536 absolute error = 2e-30 relative error = 1.3870056024195115364407930081209e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.65 y[1] (closed_form) = -14.405140081492170775766972266571 y[1] (numeric) = -14.405140081492170775766972266574 absolute error = 3e-30 relative error = 2.0825899526339364923949921739694e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.64 y[1] (closed_form) = -14.390742141580462764975130491041 y[1] (numeric) = -14.390742141580462764975130491043 absolute error = 2e-30 relative error = 1.3897823894858212421558611317674e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.63 y[1] (closed_form) = -14.376358592412095563197826346978 y[1] (numeric) = -14.37635859241209556319782634698 absolute error = 2e-30 relative error = 1.3911728669981901237392872952263e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.62 y[1] (closed_form) = -14.361989419603518803438720738841 y[1] (numeric) = -14.361989419603518803438720738843 absolute error = 2e-30 relative error = 1.3925647356835419345889514162936e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.61 y[1] (closed_form) = -14.34763460878555847968994661176 y[1] (numeric) = -14.347634608785558479689946611761 absolute error = 1e-30 relative error = 6.9697899846687273802286266179299e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.6 y[1] (closed_form) = -14.333294145603402577756905512456 y[1] (numeric) = -14.333294145603402577756905512457 absolute error = 1e-30 relative error = 6.9767632607103105720912926383817e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.59 y[1] (closed_form) = -14.318968015716586720445057160277 y[1] (numeric) = -14.318968015716586720445057160278 absolute error = 1e-30 relative error = 6.9837435135157358712223031742994e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.58 y[1] (closed_form) = -14.304656204798979827094347213914 y[1] (numeric) = -14.304656204798979827094347213915 absolute error = 1e-30 relative error = 6.9907307500652566647347105317267e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.57 y[1] (closed_form) = -14.29035869853876978744693276705 y[1] (numeric) = -14.290358698538769787446932767052 absolute error = 2e-30 relative error = 1.3995449954692220168838080184257e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.56 y[1] (closed_form) = -14.276075482638449149833879439474 y[1] (numeric) = -14.276075482638449149833879439475 absolute error = 1e-30 relative error = 7.0047262023525239939810043726942e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.55 y[1] (closed_form) = -14.261806542814800823666518249144 y[1] (numeric) = -14.261806542814800823666518249144 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.54 y[1] (closed_form) = -14.247551864798883796218164755393 y[1] (numeric) = -14.247551864798883796218164755393 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.53 y[1] (closed_form) = -14.233311434336018863681917253788 y[1] (numeric) = -14.233311434336018863681917253789 absolute error = 1e-30 relative error = 7.0257719337724152055061037765151e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.52 y[1] (closed_form) = -14.219085237185774376490265079252 y[1] (numeric) = -14.219085237185774376490265079253 absolute error = 1e-30 relative error = 7.0328012197634092949363812104160e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.51 y[1] (closed_form) = -14.204873259121951998882252335876 y[1] (numeric) = -14.204873259121951998882252335877 absolute error = 1e-30 relative error = 7.0398375385562092145638027574322e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.5 y[1] (closed_form) = -14.190675485932572482703956619399 y[1] (numeric) = -14.1906754859325724827039566194 absolute error = 1e-30 relative error = 7.0468808971871343435482069903086e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.49 y[1] (closed_form) = -14.176491903419861455428056531639 y[1] (numeric) = -14.17649190341986145542805653164 absolute error = 1e-30 relative error = 7.0539313026995438997612950354292e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.48 y[1] (closed_form) = -14.16232249740023522237827600527 y[1] (numeric) = -14.16232249740023522237827600527 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.47 y[1] (closed_form) = -14.148167253704286583144507662196 y[1] (numeric) = -14.148167253704286583144507662196 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=178.1MB, alloc=52.3MB, time=2.06 TOP MAIN SOLVE Loop x[1] = -3.46 y[1] (closed_form) = -14.134026158176770662174431619474 y[1] (numeric) = -14.134026158176770662174431619474 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.45 y[1] (closed_form) = -14.119899196676590753527460333212 y[1] (numeric) = -14.119899196676590753527460333212 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.44 y[1] (closed_form) = -14.10578635507678417977685423322 y[1] (numeric) = -14.105786355076784179776854233221 absolute error = 1e-30 relative error = 7.0892892804951074801243392340142e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.43 y[1] (closed_form) = -14.091687619264508165045867049339 y[1] (numeric) = -14.09168761926450816504586704934 absolute error = 1e-30 relative error = 7.0963821156020864947146671576021e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.42 y[1] (closed_form) = -14.077602975141025722163793864425 y[1] (numeric) = -14.077602975141025722163793864426 absolute error = 1e-30 relative error = 7.1034820470917724765875021426269e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.41 y[1] (closed_form) = -14.063532408621691553927809048855 y[1] (numeric) = -14.063532408621691553927809048856 absolute error = 1e-30 relative error = 7.1105890820640975070898032577880e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.4 y[1] (closed_form) = -14.049475905635937968456495337223 y[1] (numeric) = -14.049475905635937968456495337224 absolute error = 1e-30 relative error = 7.1177032276260971507995351075697e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.39 y[1] (closed_form) = -14.035433452127260808620979399574 y[1] (numeric) = -14.035433452127260808620979399575 absolute error = 1e-30 relative error = 7.1248244908919175625618246631899e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.38 y[1] (closed_form) = -14.021405034053205395539603337146 y[1] (numeric) = -14.021405034053205395539603337147 absolute error = 1e-30 relative error = 7.1319528789828226016357089532599e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.37 y[1] (closed_form) = -14.007390637385352486122075596116 y[1] (numeric) = -14.007390637385352486122075596118 absolute error = 2e-30 relative error = 1.4278176798054401905917175522992e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.36 y[1] (closed_form) = -13.993390248109304244649058842335 y[1] (numeric) = -13.993390248109304244649058842337 absolute error = 2e-30 relative error = 1.4292462116321146511071005193055e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.35 y[1] (closed_form) = -13.979403852224670228373166375461 y[1] (numeric) = -13.979403852224670228373166375463 absolute error = 2e-30 relative error = 1.4306761727051198475920740647365e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.34 y[1] (closed_form) = -13.965431435745053387127352682333 y[1] (numeric) = -13.965431435745053387127352682335 absolute error = 2e-30 relative error = 1.4321075644544169722152613961130e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.33 y[1] (closed_form) = -13.951472984698036076926697736798 y[1] (numeric) = -13.9514729846980360769266977368 absolute error = 2e-30 relative error = 1.4335403883113978935564368874708e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.32 y[1] (closed_form) = -13.937528485125166087549598646617 y[1] (numeric) = -13.937528485125166087549598646619 absolute error = 2e-30 relative error = 1.4349746457088865879985139417953e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.31 y[1] (closed_form) = -13.92359792308194268408439622747 y[1] (numeric) = -13.923597923081942684084396227472 absolute error = 2e-30 relative error = 1.4364103380811405725516407759365e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.3 y[1] (closed_form) = -13.909681284637802662427478049531 y[1] (numeric) = -13.909681284637802662427478049533 absolute error = 2e-30 relative error = 1.4378474668638523391108369522209e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.29 y[1] (closed_form) = -13.895778555876106418718913453551 y[1] (numeric) = -13.895778555876106418718913453552 absolute error = 1e-30 relative error = 7.1964301674707539507430245725818e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.28 y[1] (closed_form) = -13.881889722894124032701689970918 y[1] (numeric) = -13.881889722894124032701689970919 absolute error = 1e-30 relative error = 7.2036301970530133792197611074026e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.27 y[1] (closed_form) = -13.868014771803021364990634505786 y[1] (numeric) = -13.868014771803021364990634505787 absolute error = 1e-30 relative error = 7.2108374302660701632463080306706e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.26 y[1] (closed_form) = -13.854153688727846168237116547012 y[1] (numeric) = -13.854153688727846168237116547013 absolute error = 1e-30 relative error = 7.2180518743171581164822371437574e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.25 y[1] (closed_form) = -13.840306459807514212175644573469 y[1] (numeric) = -13.84030645980751421217564457347 absolute error = 1e-30 relative error = 7.2252735364207218912191926467110e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.24 y[1] (closed_form) = -13.826473071194795422538480698163 y[1] (numeric) = -13.826473071194795422538480698164 absolute error = 1e-30 relative error = 7.2325024237984241928261446336412e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.23 y[1] (closed_form) = -13.812653509056300033824412464617 y[1] (numeric) = -13.812653509056300033824412464618 absolute error = 1e-30 relative error = 7.2397385436791530014126962669350e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.22 y[1] (closed_form) = -13.798847759572464755907834563142 y[1] (numeric) = -13.798847759572464755907834563143 absolute error = 1e-30 relative error = 7.2469819032990288007176662942107e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.21 y[1] (closed_form) = -13.785055808937538954474307074914 y[1] (numeric) = -13.785055808937538954474307074915 absolute error = 1e-30 relative error = 7.2542325099014118142301757971995e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.2 y[1] (closed_form) = -13.771277643359570845268770678282 y[1] (numeric) = -13.771277643359570845268770678282 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.19 y[1] (closed_form) = -13.757513249060393702142613064349 y[1] (numeric) = -13.757513249060393702142613064349 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.18 y[1] (closed_form) = -13.743762612275612078885794607768 y[1] (numeric) = -13.743762612275612078885794607768 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.17 y[1] (closed_form) = -13.730025719254588044830255123704 y[1] (numeric) = -13.730025719254588044830255123704 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.16 y[1] (closed_form) = -13.716302556260427434210837313244 y[1] (numeric) = -13.716302556260427434210837313245 absolute error = 1e-30 relative error = 7.2905945016762379720181508723997e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.15 y[1] (closed_form) = -13.702593109569966109269976257023 y[1] (numeric) = -13.702593109569966109269976257023 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.14 y[1] (closed_form) = -13.688897365473756237092418060604 y[1] (numeric) = -13.688897365473756237092418060604 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.13 y[1] (closed_form) = -13.675215310276052580156244485206 y[1] (numeric) = -13.675215310276052580156244485206 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.12 y[1] (closed_form) = -13.661546930294798800586494113641 y[1] (numeric) = -13.661546930294798800586494113641 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.11 y[1] (closed_form) = -13.647892211861613778097684303954 y[1] (numeric) = -13.647892211861613778097684303955 absolute error = 1e-30 relative error = 7.3271387586933248158165914175717e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.1 y[1] (closed_form) = -13.634251141321777941611551872143 y[1] (numeric) = -13.634251141321777941611551872144 absolute error = 1e-30 relative error = 7.3344695622428926389283166331545e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.09 y[1] (closed_form) = -13.620623705034219614536344120559 y[1] (numeric) = -13.62062370503421961453634412056 absolute error = 1e-30 relative error = 7.3418077002626339107499078783661e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.08 y[1] (closed_form) = -13.607009889371501373694005490143 y[1] (numeric) = -13.607009889371501373694005490145 absolute error = 2e-30 relative error = 1.4698306360181374525068318007242e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop memory used=223.2MB, alloc=52.3MB, time=2.55 x[1] = -3.07 y[1] (closed_form) = -13.593409680719806421881618762549 y[1] (numeric) = -13.59340968071980642188161876255 absolute error = 1e-30 relative error = 7.3565060090725331344577612017266e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.06 y[1] (closed_form) = -13.579823065478924974053473372451 y[1] (numeric) = -13.579823065478924974053473372452 absolute error = 1e-30 relative error = 7.3638661945610011211023553079674e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.05 y[1] (closed_form) = -13.566250030062240657110147010985 y[1] (numeric) = -13.566250030062240657110147010986 absolute error = 1e-30 relative error = 7.3712337439162773242847391175628e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.04 y[1] (closed_form) = -13.552690560896716923281000308256 y[1] (numeric) = -13.552690560896716923281000308256 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.03 y[1] (closed_form) = -13.539144644422883477086497976278 y[1] (numeric) = -13.539144644422883477086497976278 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.02 y[1] (closed_form) = -13.52561226709482271586678337355 y[1] (numeric) = -13.52561226709482271586678337355 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3.01 y[1] (closed_form) = -13.512093415380156183862947018688 y[1] (numeric) = -13.512093415380156183862947018689 absolute error = 1e-30 relative error = 7.4007777274670764686619229442038e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -3 y[1] (closed_form) = -13.49858807576003103983744313328 y[1] (numeric) = -13.498588075760031039837443133281 absolute error = 1e-30 relative error = 7.4081822068171786606687377931782e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.99 y[1] (closed_form) = -13.485096234729106538220121833226 y[1] (numeric) = -13.485096234729106538220121833227 absolute error = 1e-30 relative error = 7.4155940943501050183920263600542e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.98 y[1] (closed_form) = -13.471617878795540523766358113493 y[1] (numeric) = -13.471617878795540523766358113494 absolute error = 1e-30 relative error = 7.4230133974777436924154613672268e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.97 y[1] (closed_form) = -13.458152994480975939713772283271 y[1] (numeric) = -13.458152994480975939713772283273 absolute error = 2e-30 relative error = 1.4860880247238796857305996167726e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.96 y[1] (closed_form) = -13.444701568320527349424050007135 y[1] (numeric) = -13.444701568320527349424050007137 absolute error = 2e-30 relative error = 1.4875748560403591975306477030380e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.95 y[1] (closed_form) = -13.431263586862767471496383592907 y[1] (numeric) = -13.431263586862767471496383592909 absolute error = 2e-30 relative error = 1.4890631749318187142653621690025e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.94 y[1] (closed_form) = -13.417839036669713728339069638538 y[1] (numeric) = -13.41783903666971372833906963854 absolute error = 2e-30 relative error = 1.4905529828865772514208381718928e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.93 y[1] (closed_form) = -13.404427904316814808185811608483 y[1] (numeric) = -13.404427904316814808185811608485 absolute error = 2e-30 relative error = 1.4920442813944428879062799020853e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.92 y[1] (closed_form) = -13.391030176392937240543289354761 y[1] (numeric) = -13.391030176392937240543289354764 absolute error = 3e-30 relative error = 2.2403056079200713837933054644813e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.91 y[1] (closed_form) = -13.377645839500351985056571029142 y[1] (numeric) = -13.377645839500351985056571029145 absolute error = 3e-30 relative error = 2.2425470340542730479387912796662e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.9 y[1] (closed_form) = -13.364274880254721033778956250755 y[1] (numeric) = -13.364274880254721033778956250758 absolute error = 3e-30 relative error = 2.2447907027356956452830588538244e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.89 y[1] (closed_form) = -13.350917285285084026832852797852 y[1] (numeric) = -13.350917285285084026832852797855 absolute error = 3e-30 relative error = 2.2470366162080080442211018821864e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.88 y[1] (closed_form) = -13.337573041233844881448302483481 y[1] (numeric) = -13.337573041233844881448302483483 absolute error = 2e-30 relative error = 1.4995231844780826028165210449847e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.87 y[1] (closed_form) = -13.324242134756758434365785252484 y[1] (numeric) = -13.324242134756758434365785252486 absolute error = 2e-30 relative error = 1.5010234576741359478377821675033e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.86 y[1] (closed_form) = -13.31092455252291709758994390151 y[1] (numeric) = -13.310924552522917097589943901512 absolute error = 2e-30 relative error = 1.5025252318937720522873001488122e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.85 y[1] (closed_form) = -13.297620281214737527480885174656 y[1] (numeric) = -13.297620281214737527480885174658 absolute error = 2e-30 relative error = 1.5040285086387652609490352463664e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.84 y[1] (closed_form) = -13.284329307527947307169726324921 y[1] (numeric) = -13.284329307527947307169726324924 absolute error = 3e-30 relative error = 2.2582999341185886661338935706562e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.83 y[1] (closed_form) = -13.271051618171571642285069555924 y[1] (numeric) = -13.271051618171571642285069555927 absolute error = 3e-30 relative error = 2.2605593635791517511003500101962e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.82 y[1] (closed_form) = -13.257787199867920069977100069231 y[1] (numeric) = -13.257787199867920069977100069234 absolute error = 3e-30 relative error = 2.2628210535992667951718018110766e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.81 y[1] (closed_form) = -13.244536039352573181226016740301 y[1] (numeric) = -13.244536039352573181226016740304 absolute error = 3e-30 relative error = 2.2650850064406240069374676701417e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.8 y[1] (closed_form) = -13.231298123374369356421517730364 y[1] (numeric) = -13.231298123374369356421517730367 absolute error = 3e-30 relative error = 2.2673512243671764164173024215830e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.79 y[1] (closed_form) = -13.218073438695391514200076612612 y[1] (numeric) = -13.218073438695391514200076612615 absolute error = 3e-30 relative error = 2.2696197096451421390152157196527e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.78 y[1] (closed_form) = -13.204861972090953873526757848882 y[1] (numeric) = -13.204861972090953873526757848884 absolute error = 2e-30 relative error = 1.5145936430286710944915841960594e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.77 y[1] (closed_form) = -13.191663710349588729008333697532 y[1] (numeric) = -13.191663710349588729008333697533 absolute error = 1e-30 relative error = 7.5805449711050833722595599891574e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.76 y[1] (closed_form) = -13.178478640273033239424477864537 y[1] (numeric) = -13.178478640273033239424477864538 absolute error = 1e-30 relative error = 7.5881293076124140892465537509327e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.75 y[1] (closed_form) = -13.165306748676216229463824427889 y[1] (numeric) = -13.16530674867621622946382442789 absolute error = 1e-30 relative error = 7.5957212322496847627776825977776e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.74 y[1] (closed_form) = -13.152148022387245004651693770261 y[1] (numeric) = -13.152148022387245004651693770263 absolute error = 2e-30 relative error = 1.5206641505217641325568055177449e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.73 y[1] (closed_form) = -13.13900244824739217945630044657 y[1] (numeric) = -13.139002448247392179456300446572 absolute error = 2e-30 relative error = 1.5221855752578685563389746202443e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.72 y[1] (closed_form) = -13.125870013111082518560271091536 y[1] (numeric) = -13.125870013111082518560271091538 absolute error = 2e-30 relative error = 1.5237085221796750867918665107714e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.71 y[1] (closed_form) = -13.112750703845879791284313637671 y[1] (numeric) = -13.112750703845879791284313637672 absolute error = 1e-30 relative error = 7.6261649640506538631712967825191e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.7 y[1] (closed_form) = -13.099644507332473639149892266262 y[1] (numeric) = -13.099644507332473639149892266264 absolute error = 2e-30 relative error = 1.5267589886737063713610624391158e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.69 y[1] (closed_form) = -13.086551410464666456567775652942 y[1] (numeric) = -13.086551410464666456567775652944 absolute error = 2e-30 relative error = 1.5282865112963978737142006889210e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.68 y[1] (closed_form) = -13.07347140014936028463933919528 y[1] (numeric) = -13.073471400149360284639339195282 absolute error = 2e-30 relative error = 1.5298155622057280296787325931346e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=268.3MB, alloc=52.3MB, time=3.06 TOP MAIN SOLVE Loop x[1] = -2.67 y[1] (closed_form) = -13.06040446330654371805751502263 y[1] (numeric) = -13.060404463306543718057515022632 absolute error = 2e-30 relative error = 1.5313461429307478760057274744986e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.66 y[1] (closed_form) = -13.047350586869278825094296688073 y[1] (numeric) = -13.047350586869278825094296688075 absolute error = 2e-30 relative error = 1.5328782550020382652634296632750e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.65 y[1] (closed_form) = -13.034309757783688080661718528881 y[1] (numeric) = -13.034309757783688080661718528883 absolute error = 2e-30 relative error = 1.5344118999517113964182386138986e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.64 y[1] (closed_form) = -13.021281963008941312433242755388 y[1] (numeric) = -13.02128196300894131243324275539 absolute error = 2e-30 relative error = 1.5359470793134123469470355473977e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.63 y[1] (closed_form) = -13.008267189517242660012500388568 y[1] (numeric) = -13.00826718951724266001250038857 absolute error = 2e-30 relative error = 1.5374837946223206064823887320355e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.62 y[1] (closed_form) = -12.995265424293817547136345213975 y[1] (numeric) = -12.995265424293817547136345213977 absolute error = 2e-30 relative error = 1.5390220474151516119921710475072e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.61 y[1] (closed_form) = -12.982276654336899666899192954013 y[1] (numeric) = -12.982276654336899666899192954014 absolute error = 1e-30 relative error = 7.7028091961507914224756250621839e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.6 y[1] (closed_form) = -12.969300866657717979985630881789 y[1] (numeric) = -12.96930086665771797998563088179 absolute error = 1e-30 relative error = 7.7105158580356628365695599543355e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.59 y[1] (closed_form) = -12.956338048280483725898296108077 y[1] (numeric) = -12.956338048280483725898296108079 absolute error = 2e-30 relative error = 1.5436460460874069658671838309211e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.58 y[1] (closed_form) = -12.943388186242377447168033768194 y[1] (numeric) = -12.943388186242377447168033768196 absolute error = 2e-30 relative error = 1.5451904642138560890022167278328e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.57 y[1] (closed_form) = -12.930451267593536026533359317847 y[1] (numeric) = -12.930451267593536026533359317849 absolute error = 2e-30 relative error = 1.5467364275308981918696486441126e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.56 y[1] (closed_form) = -12.917527279397039737076262116357 y[1] (numeric) = -12.917527279397039737076262116359 absolute error = 2e-30 relative error = 1.5482839375844967203418631617102e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.55 y[1] (closed_form) = -12.904616208728899305301400431968 y[1] (numeric) = -12.904616208728899305301400431971 absolute error = 3e-30 relative error = 2.3247494938832427854648462770350e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.54 y[1] (closed_form) = -12.891718042678042987145750947365 y[1] (numeric) = -12.891718042678042987145750947367 absolute error = 2e-30 relative error = 1.5513836040929520685270874561208e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.53 y[1] (closed_form) = -12.878832768346303656905788773963 y[1] (numeric) = -12.878832768346303656905788773966 absolute error = 3e-30 relative error = 2.3294036454712134825014945994333e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.52 y[1] (closed_form) = -12.865960372848405909069286901095 y[1] (numeric) = -12.865960372848405909069286901098 absolute error = 3e-30 relative error = 2.3317342142068384504027670164341e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.51 y[1] (closed_form) = -12.853100843311953173038836910791 y[1] (numeric) = -12.853100843311953173038836910794 absolute error = 3e-30 relative error = 2.3340671146768719363334841123391e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.5 y[1] (closed_form) = -12.840254166877414840734205680624 y[1] (numeric) = -12.840254166877414840734205680627 absolute error = 3e-30 relative error = 2.3364023492142146047355108009350e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.49 y[1] (closed_form) = -12.827420330698113407060655675889 y[1] (numeric) = -12.827420330698113407060655675892 absolute error = 3e-30 relative error = 2.3387399201541011875544000829002e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.48 y[1] (closed_form) = -12.814599321940211623230369298371 y[1] (numeric) = -12.814599321940211623230369298373 absolute error = 2e-30 relative error = 1.5607198865560685463162130628391e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.47 y[1] (closed_form) = -12.801791127782699662924130612054 y[1] (numeric) = -12.801791127782699662924130612056 absolute error = 2e-30 relative error = 1.5622813870627529169929207254323e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.46 y[1] (closed_form) = -12.788995735417382301280430606384 y[1] (numeric) = -12.788995735417382301280430606387 absolute error = 3e-30 relative error = 2.3457666747764318108137104214297e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.45 y[1] (closed_form) = -12.776213132048866106699174985126 y[1] (numeric) = -12.776213132048866106699174985128 absolute error = 2e-30 relative error = 1.5654090764837363354217319709308e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.44 y[1] (closed_form) = -12.763443304894546645447186283441 y[1] (numeric) = -12.763443304894546645447186283442 absolute error = 1e-30 relative error = 7.8348763426286253239902387631261e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.43 y[1] (closed_form) = -12.750686241184595699052704917642 y[1] (numeric) = -12.750686241184595699052704917643 absolute error = 1e-30 relative error = 7.8427151377155645058807909263991e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.42 y[1] (closed_form) = -12.737941928161948494476106561049 y[1] (numeric) = -12.737941928161948494476106561049 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.41 y[1] (closed_form) = -12.72521035308229094704406601559 y[1] (numeric) = -12.725210353082290947044066015591 absolute error = 1e-30 relative error = 7.8584162638834551518221601758325e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.4 y[1] (closed_form) = -12.712491503214046916134410512278 y[1] (numeric) = -12.712491503214046916134410512279 absolute error = 1e-30 relative error = 7.8662786106655340921908474751562e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.39 y[1] (closed_form) = -12.699785365838365473598918124314 y[1] (numeric) = -12.699785365838365473598918124315 absolute error = 1e-30 relative error = 7.8741488237268792213330332008109e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.38 y[1] (closed_form) = -12.687091928249108184911329714593 y[1] (numeric) = -12.687091928249108184911329714593 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.37 y[1] (closed_form) = -12.674411177752836403027855564536 y[1] (numeric) = -12.674411177752836403027855564536 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.36 y[1] (closed_form) = -12.661743101668798574947470543712 y[1] (numeric) = -12.661743101668798574947470543712 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.35 y[1] (closed_form) = -12.649087687328917560959304379484 y[1] (numeric) = -12.649087687328917560959304379484 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.34 y[1] (closed_form) = -12.636444922077777966564446273006 y[1] (numeric) = -12.636444922077777966564446273005 absolute error = 1e-30 relative error = 7.9136181589558385503188867472450e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.33 y[1] (closed_form) = -12.623814793272613487059495782325 y[1] (numeric) = -12.623814793272613487059495782324 absolute error = 1e-30 relative error = 7.9215357352431400266622210764177e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.32 y[1] (closed_form) = -12.611197288283294264769204555094 y[1] (numeric) = -12.611197288283294264769204555093 absolute error = 1e-30 relative error = 7.9294612330668368741455232624710e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.31 y[1] (closed_form) = -12.59859239449231425891556614246 y[1] (numeric) = -12.598592394492314258915566142459 absolute error = 1e-30 relative error = 7.9373946603524275769238147787168e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.3 y[1] (closed_form) = -12.58600009929477862811072376219 y[1] (numeric) = -12.58600009929477862811072376219 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.29 y[1] (closed_form) = -12.573420390098391125461078502874 y[1] (numeric) = -12.573420390098391125461078502874 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=313.5MB, alloc=52.3MB, time=3.56 TOP MAIN SOLVE Loop x[1] = -2.28 y[1] (closed_form) = -12.560853254323441506269993072271 y[1] (numeric) = -12.560853254323441506269993072271 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.27 y[1] (closed_form) = -12.54829867940279294832649879145 y[1] (numeric) = -12.548298679402792948326498791449 absolute error = 1e-30 relative error = 7.9692078229013964710703191797296e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.26 y[1] (closed_form) = -12.535756652781869484767426122383 y[1] (numeric) = -12.535756652781869484767426122382 absolute error = 1e-30 relative error = 7.9771810166567427388036137872000e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.25 y[1] (closed_form) = -12.523227161918643449500391590078 y[1] (numeric) = -12.523227161918643449500391590078 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.24 y[1] (closed_form) = -12.510710194283622935175086521191 y[1] (numeric) = -12.51071019428362293517508652119 absolute error = 1e-30 relative error = 7.9931513436936511419443499468001e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.23 y[1] (closed_form) = -12.49820573735983926369032556935 y[1] (numeric) = -12.498205737359839263690325569349 absolute error = 1e-30 relative error = 8.0011484929455416451208254107201e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.22 y[1] (closed_form) = -12.485713778642834469224325533219 y[1] (numeric) = -12.485713778642834469224325533218 absolute error = 1e-30 relative error = 8.0091536433465918562355835368134e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.21 y[1] (closed_form) = -12.473234305640648793775697496513 y[1] (numeric) = -12.473234305640648793775697496511 absolute error = 2e-30 relative error = 1.6034333605803905686869448861102e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.2 y[1] (closed_form) = -12.460767305873808195202647829927 y[1] (numeric) = -12.460767305873808195202647829925 absolute error = 2e-30 relative error = 1.6050375959249569659685107659868e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.19 y[1] (closed_form) = -12.44831276687531186774789609314 y[1] (numeric) = -12.448312766875311867747896093138 absolute error = 2e-30 relative error = 1.6066434363072530413444947986340e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.18 y[1] (closed_form) = -12.435870676190619775036830360763 y[1] (numeric) = -12.435870676190619775036830360761 absolute error = 2e-30 relative error = 1.6082508833331193109310086787100e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.17 y[1] (closed_form) = -12.423441021377640195536432969359 y[1] (numeric) = -12.423441021377640195536432969358 absolute error = 1e-30 relative error = 8.0492996930500146727412264002432e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.16 y[1] (closed_form) = -12.411023790006717280462522143414 y[1] (numeric) = -12.411023790006717280462522143413 absolute error = 1e-30 relative error = 8.0573530187347966158388621489315e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.15 y[1] (closed_form) = -12.398618969660618624122867406464 y[1] (numeric) = -12.398618969660618624122867406462 absolute error = 2e-30 relative error = 1.6130828803546537479680779678858e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.14 y[1] (closed_form) = -12.386226547934522846683749119463 y[1] (numeric) = -12.386226547934522846683749119461 absolute error = 2e-30 relative error = 1.6146967700453629509999751477346e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.13 y[1] (closed_form) = -12.373846512436007189347544911919 y[1] (numeric) = -12.373846512436007189347544911916 absolute error = 3e-30 relative error = 2.4244684116494651361952185650351e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.12 y[1] (closed_form) = -12.361478850785035121928938182333 y[1] (numeric) = -12.36147885078503512192893818233 absolute error = 3e-30 relative error = 2.4268940926994995343966493603788e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.11 y[1] (closed_form) = -12.349123550613943962817356243145 y[1] (numeric) = -12.349123550613943962817356243141 absolute error = 4e-30 relative error = 3.2390962675251051643716633999107e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.1 y[1] (closed_form) = -12.336780599567432511313258071563 y[1] (numeric) = -12.336780599567432511313258071559 absolute error = 4e-30 relative error = 3.2423369838807483993509166062028e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.09 y[1] (closed_form) = -12.324449985302548692325904001559 y[1] (numeric) = -12.324449985302548692325904001555 absolute error = 4e-30 relative error = 3.2455809425736457098362323842275e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.08 y[1] (closed_form) = -12.312131695488677213420252053754 y[1] (numeric) = -12.31213169548867721342025205375 absolute error = 4e-30 relative error = 3.2488281468477560590548213050730e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.07 y[1] (closed_form) = -12.299825717807527234200637949067 y[1] (numeric) = -12.299825717807527234200637949063 absolute error = 4e-30 relative error = 3.2520785999502839917173977832027e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.06 y[1] (closed_form) = -12.28753203995312004801890818878 y[1] (numeric) = -12.287532039953120048018908188777 absolute error = 3e-30 relative error = 2.4414992288487621609172465406681e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.05 y[1] (closed_form) = -12.275250649631776775994687908126 y[1] (numeric) = -12.275250649631776775994687908123 absolute error = 3e-30 relative error = 2.4439419492342436350844583337841e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.04 y[1] (closed_form) = -12.262981534562106073335477522638 y[1] (numeric) = -12.262981534562106073335477522635 absolute error = 3e-30 relative error = 2.4463871135618780053311967927527e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.03 y[1] (closed_form) = -12.250724682474991847944284486338 y[1] (numeric) = -12.250724682474991847944284486335 absolute error = 3e-30 relative error = 2.4488347242768298030555329259665e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.02 y[1] (closed_form) = -12.238480081113580991302508768369 y[1] (numeric) = -12.238480081113580991302508768366 absolute error = 3e-30 relative error = 2.4512847838267099471768308359968e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2.01 y[1] (closed_form) = -12.226247718233271121615812929934 y[1] (numeric) = -12.226247718233271121615812929931 absolute error = 3e-30 relative error = 2.4537372946615781917468706065414e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -2 y[1] (closed_form) = -12.214027581601698339210719946397 y[1] (numeric) = -12.214027581601698339210719946393 absolute error = 4e-30 relative error = 3.2749230123119274346797420344761e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.99 y[1] (closed_form) = -12.201819658998724994169694170107 y[1] (numeric) = -12.201819658998724994169694170103 absolute error = 4e-30 relative error = 3.2781995733317025025512142757886e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.98 y[1] (closed_form) = -12.189623938216427466192473068029 y[1] (numeric) = -12.189623938216427466192473068026 absolute error = 3e-30 relative error = 2.4611095594134930640740546152096e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.97 y[1] (closed_form) = -12.17744040705908395667142959448 y[1] (numeric) = -12.177440407059083956671429594477 absolute error = 3e-30 relative error = 2.4635718999379737571978834709524e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.96 y[1] (closed_form) = -12.165269053343162292968757273314 y[1] (numeric) = -12.165269053343162292968757273311 absolute error = 3e-30 relative error = 2.4660367040345596859606409444582e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.95 y[1] (closed_form) = -12.153109864897307744883282265737 y[1] (numeric) = -12.153109864897307744883282265734 absolute error = 3e-30 relative error = 2.4685039741680551523486040273234e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.94 y[1] (closed_form) = -12.140962829562330853294718889537 y[1] (numeric) = -12.140962829562330853294718889535 absolute error = 2e-30 relative error = 1.6473158085371536636420602793300e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.93 y[1] (closed_form) = -12.128827935191195270973197232978 y[1] (numeric) = -12.128827935191195270973197232977 absolute error = 1e-30 relative error = 8.2448197413910818626366774465217e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.92 y[1] (closed_form) = -12.116705169649005615541903671866 y[1] (numeric) = -12.116705169649005615541903671866 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.91 y[1] (closed_form) = -12.104594520812995334580687251421 y[1] (numeric) = -12.10459452081299533458068725142 absolute error = 1e-30 relative error = 8.2613258815119385428930592943236e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.9 y[1] (closed_form) = -12.092495976572514582858497035543 y[1] (numeric) = -12.092495976572514582858497035542 absolute error = 1e-30 relative error = 8.2695913394336231750914679370832e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop memory used=358.5MB, alloc=52.3MB, time=4.05 x[1] = -1.89 y[1] (closed_form) = -12.080409524829018111682527654912 y[1] (numeric) = -12.080409524829018111682527654911 absolute error = 1e-30 relative error = 8.2778650669473363735476422273728e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.88 y[1] (closed_form) = -12.068335153496053170351962402042 y[1] (numeric) = -12.068335153496053170351962402041 absolute error = 1e-30 relative error = 8.2861470723268063414520964133765e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.87 y[1] (closed_form) = -12.056272850499247419704215326034 y[1] (numeric) = -12.056272850499247419704215326034 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.86 y[1] (closed_form) = -12.044222603776296857741585872265 y[1] (numeric) = -12.044222603776296857741585872265 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.85 y[1] (closed_form) = -12.032184401276953757326251692651 y[1] (numeric) = -12.03218440127695375732625169265 absolute error = 1e-30 relative error = 8.3110428385212565907858630622610e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.84 y[1] (closed_form) = -12.020158230963014615931537320479 y[1] (numeric) = -12.020158230963014615931537320478 absolute error = 1e-30 relative error = 8.3193580382667172771469938876971e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.83 y[1] (closed_form) = -12.008144080808308117437408460078 y[1] (numeric) = -12.008144080808308117437408460078 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.82 y[1] (closed_form) = -11.996141938798683105958153685805 y[1] (numeric) = -11.996141938798683105958153685805 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.81 y[1] (closed_form) = -11.984151792931996571690227377035 y[1] (numeric) = -11.984151792931996571690227377036 absolute error = 1e-30 relative error = 8.3443535869578954899125488140051e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.8 y[1] (closed_form) = -11.972173631218101648768239736005 y[1] (numeric) = -11.972173631218101648768239736005 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.79 y[1] (closed_form) = -11.960207441678835625117091743476 y[1] (numeric) = -11.960207441678835625117091743477 absolute error = 1e-30 relative error = 8.3610589939703551075880751343031e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.78 y[1] (closed_form) = -11.948253212348007964288264903384 y[1] (numeric) = -11.948253212348007964288264903385 absolute error = 1e-30 relative error = 8.3694242348876807273467974770390e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.77 y[1] (closed_form) = -11.936310931271388339268287611736 y[1] (numeric) = -11.936310931271388339268287611737 absolute error = 1e-30 relative error = 8.3777978452299386868290695410342e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.76 y[1] (closed_form) = -11.92438058650669467824741195725 y[1] (numeric) = -11.924380586506694678247411957251 absolute error = 1e-30 relative error = 8.3861798333707400260937359234193e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.75 y[1] (closed_form) = -11.912462166123581222336546721397 y[1] (numeric) = -11.912462166123581222336546721399 absolute error = 2e-30 relative error = 1.6789140415384147168882341811214e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.74 y[1] (closed_form) = -11.900555658203626595220504293801 y[1] (numeric) = -11.900555658203626595220504293803 absolute error = 2e-30 relative error = 1.6805937953168628764805632505515e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.73 y[1] (closed_form) = -11.888661050840321884735631155233 y[1] (numeric) = -11.888661050840321884735631155235 absolute error = 2e-30 relative error = 1.6822752296892464024233801886327e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.72 y[1] (closed_form) = -11.876778332139058736359903504851 y[1] (numeric) = -11.876778332139058736359903504853 absolute error = 2e-30 relative error = 1.6839583463369998072197466407935e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.71 y[1] (closed_form) = -11.864907490217117458603581520778 y[1] (numeric) = -11.864907490217117458603581520781 absolute error = 3e-30 relative error = 2.5284647204148598183241890872625e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.7 y[1] (closed_form) = -11.853048513203655140288527643693 y[1] (numeric) = -11.853048513203655140288527643695 absolute error = 2e-30 relative error = 1.6873296331927673640526453038308e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.69 y[1] (closed_form) = -11.841201389239693779704306161743 y[1] (numeric) = -11.841201389239693779704306161746 absolute error = 3e-30 relative error = 2.5335267101581029791959725393824e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.68 y[1] (closed_form) = -11.829366106478108425629193251917 y[1] (numeric) = -11.82936610647810842562919325192 absolute error = 3e-30 relative error = 2.5360615040539761976488404018931e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.67 y[1] (closed_form) = -11.817542653083615330204238497868 y[1] (numeric) = -11.817542653083615330204238497872 absolute error = 4e-30 relative error = 3.3847984453487530780581622577898e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.66 y[1] (closed_form) = -11.805731017232760113648530757291 y[1] (numeric) = -11.805731017232760113648530757295 absolute error = 4e-30 relative error = 3.3881849367575986412174633187125e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.65 y[1] (closed_form) = -11.793931187113905940803833093111 y[1] (numeric) = -11.793931187113905940803833093114 absolute error = 3e-30 relative error = 2.5436811122637474830471602664831e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.64 y[1] (closed_form) = -11.782143150927221709496763312141 y[1] (numeric) = -11.782143150927221709496763312144 absolute error = 3e-30 relative error = 2.5462260656406202223617938510427e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.63 y[1] (closed_form) = -11.770366896884670250706708472413 y[1] (numeric) = -11.770366896884670250706708472417 absolute error = 4e-30 relative error = 3.3983647536583610504122569325201e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.62 y[1] (closed_form) = -11.758602413209996540527673526102 y[1] (numeric) = -11.758602413209996540527673526105 absolute error = 3e-30 relative error = 2.5513236136206989948315629311921e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.61 y[1] (closed_form) = -11.746849688138715923912276058907 y[1] (numeric) = -11.746849688138715923912276058909 absolute error = 2e-30 relative error = 1.7025841422143022885741000419808e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.6 y[1] (closed_form) = -11.73510870991810235018611086892 y[1] (numeric) = -11.735108709918102350186110868922 absolute error = 2e-30 relative error = 1.7042875779324226769126939629371e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.59 y[1] (closed_form) = -11.723379466807176620320719898349 y[1] (numeric) = -11.723379466807176620320719898352 absolute error = 3e-30 relative error = 2.5589890769073945324652899460839e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.58 y[1] (closed_form) = -11.711661947076694645953414790095 y[1] (numeric) = -11.711661947076694645953414790098 absolute error = 3e-30 relative error = 2.5615493459054452060529219990481e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.57 y[1] (closed_form) = -11.699956139009135720142211088021 y[1] (numeric) = -11.699956139009135720142211088024 absolute error = 3e-30 relative error = 2.5641121764530552475383676403449e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.56 y[1] (closed_form) = -11.68826203089869079984414483488 y[1] (numeric) = -11.688262030898690799844144834882 absolute error = 2e-30 relative error = 1.7111183807420369454005918501537e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.55 y[1] (closed_form) = -11.676579611051250800105254045226 y[1] (numeric) = -11.676579611051250800105254045229 absolute error = 3e-30 relative error = 2.5692455324508405915235484256694e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.54 y[1] (closed_form) = -11.664908867784394899950519242336 y[1] (numeric) = -11.66490886778439489995051924234 absolute error = 4e-30 relative error = 3.4290880840458297594510777284166e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.53 y[1] (closed_form) = -11.653249789427378859962068948086 y[1] (numeric) = -11.653249789427378859962068948089 absolute error = 3e-30 relative error = 2.5743891654341814000377845532596e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.52 y[1] (closed_form) = -11.641602364321123351533967703024 y[1] (numeric) = -11.641602364321123351533967703028 absolute error = 4e-30 relative error = 3.4359531229644939294750197034457e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.51 y[1] (closed_form) = -11.629966580818202297791915870466 y[1] (numeric) = -11.629966580818202297791915870469 absolute error = 3e-30 relative error = 2.5795430959776164646225356248449e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.5 y[1] (closed_form) = -11.618342427282831226166202143317 y[1] (numeric) = -11.61834242728283122616620214332 absolute error = 3e-30 relative error = 2.5821239292751734216871012936298e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=403.5MB, alloc=52.3MB, time=4.55 TOP MAIN SOLVE Loop x[1] = -1.49 y[1] (closed_form) = -11.606729892090855632606261325624 y[1] (numeric) = -11.606729892090855632606261325627 absolute error = 3e-30 relative error = 2.5847073446968748309263674805663e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.48 y[1] (closed_form) = -11.595128963629739357425201602437 y[1] (numeric) = -11.595128963629739357425201602441 absolute error = 4e-30 relative error = 3.4497244597681817724351587682560e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.47 y[1] (closed_form) = -11.583539630298552972762677141539 y[1] (numeric) = -11.583539630298552972762677141543 absolute error = 4e-30 relative error = 3.4531759096652776821981632475116e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.46 y[1] (closed_form) = -11.571961880507962181654493488948 y[1] (numeric) = -11.571961880507962181654493488951 absolute error = 3e-30 relative error = 2.5924731095539282664306856401596e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.45 y[1] (closed_form) = -11.560395702680216228697344826829 y[1] (numeric) = -11.560395702680216228697344826832 absolute error = 3e-30 relative error = 2.5950668793322238645740127503821e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.44 y[1] (closed_form) = -11.548841085249136322297093757599 y[1] (numeric) = -11.548841085249136322297093757602 absolute error = 3e-30 relative error = 2.5976632441776150505216906391774e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.43 y[1] (closed_form) = -11.537298016660104068489015861522 y[1] (numeric) = -11.537298016660104068489015861525 absolute error = 3e-30 relative error = 2.6002622066864668860286495822801e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.42 y[1] (closed_form) = -11.525766485370049916318442847085 y[1] (numeric) = -11.525766485370049916318442847088 absolute error = 3e-30 relative error = 2.6028637694577420965269413769760e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.41 y[1] (closed_form) = -11.514246479847441614770249673838 y[1] (numeric) = -11.51424647984744161477024967384 absolute error = 2e-30 relative error = 1.7369786233953357800591209029251e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.4 y[1] (closed_form) = -11.502737988572272681235642576211 y[1] (numeric) = -11.502737988572272681235642576213 absolute error = 2e-30 relative error = 1.7387164707976116393261688323424e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.39 y[1] (closed_form) = -11.491241000036050881504716454157 y[1] (numeric) = -11.491241000036050881504716454158 absolute error = 1e-30 relative error = 8.7022802845825159462445949514614e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.38 y[1] (closed_form) = -11.479755502741786721273261622184 y[1] (numeric) = -11.479755502741786721273261622186 absolute error = 2e-30 relative error = 1.7421973834915966936844360393382e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.37 y[1] (closed_form) = -11.468281485203981949152311422666 y[1] (numeric) = -11.468281485203981949152311422668 absolute error = 2e-30 relative error = 1.7439404522642188728367771764740e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.36 y[1] (closed_form) = -11.456818935948618071168933711983 y[1] (numeric) = -11.456818935948618071168933711985 absolute error = 2e-30 relative error = 1.7456852649774386445838574477469e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.35 y[1] (closed_form) = -11.445367843513144876746780719352 y[1] (numeric) = -11.445367843513144876746780719354 absolute error = 2e-30 relative error = 1.7474318233760688675465128819203e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.34 y[1] (closed_form) = -11.43392819644646897615492325793 y[1] (numeric) = -11.433928196446468976154923257932 absolute error = 2e-30 relative error = 1.7491801292066680859015045123861e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.33 y[1] (closed_form) = -11.42249998330894234941350673607 y[1] (numeric) = -11.422499983308942349413506736072 absolute error = 2e-30 relative error = 1.7509301842175422759402081004759e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.32 y[1] (closed_form) = -11.411083192672350906644777873433 y[1] (numeric) = -11.411083192672350906644777873435 absolute error = 2e-30 relative error = 1.7526819901587465943747361190064e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.31 y[1] (closed_form) = -11.399677813119903059858042472028 y[1] (numeric) = -11.399677813119903059858042472031 absolute error = 3e-30 relative error = 2.6316533231731306925898604534900e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.3 y[1] (closed_form) = -11.38828383324621830615712602619 y[1] (numeric) = -11.388283833246218306157126026193 absolute error = 3e-30 relative error = 2.6342862927616839711992172274721e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.29 y[1] (closed_form) = -11.376901241657315822358920377993 y[1] (numeric) = -11.376901241657315822358920377997 absolute error = 4e-30 relative error = 3.5158958621823327138101237374102e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.28 y[1] (closed_form) = -11.365530026970603071011611035715 y[1] (numeric) = -11.365530026970603071011611035719 absolute error = 4e-30 relative error = 3.5194135165785753063522865536102e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.27 y[1] (closed_form) = -11.35417017781486441780119117261 y[1] (numeric) = -11.354170177814864417801191172613 absolute error = 3e-30 relative error = 2.6422010177914708214544350641528e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.26 y[1] (closed_form) = -11.342821682830249760334879711565 y[1] (numeric) = -11.342821682830249760334879711568 absolute error = 3e-30 relative error = 2.6448445403502481380409654041711e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.25 y[1] (closed_form) = -11.331484530668263168290072278118 y[1] (numeric) = -11.331484530668263168290072278121 absolute error = 3e-30 relative error = 2.6474907077537862085946764296871e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.24 y[1] (closed_form) = -11.320158709991751534917465169821 y[1] (numeric) = -11.320158709991751534917465169823 absolute error = 2e-30 relative error = 1.7667596817655017714450642264777e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.23 y[1] (closed_form) = -11.30884420947489323988700384415 y[1] (numeric) = -11.308844209474893239887003844153 absolute error = 3e-30 relative error = 2.6527909876824625989607556038694e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.22 y[1] (closed_form) = -11.297541017803186823465318769952 y[1] (numeric) = -11.297541017803186823465318769955 absolute error = 3e-30 relative error = 2.6554451055078812891395228979805e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.21 y[1] (closed_form) = -11.286249123673439672013322818917 y[1] (numeric) = -11.28624912367343967201332281892 absolute error = 3e-30 relative error = 2.6581018787786267742990812249247e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.2 y[1] (closed_form) = -11.274968515793756714792655693748 y[1] (numeric) = -11.274968515793756714792655693751 absolute error = 3e-30 relative error = 2.6607613101514725465826956863096e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.19 y[1] (closed_form) = -11.263699182883529132069672198509 y[1] (numeric) = -11.263699182883529132069672198512 absolute error = 3e-30 relative error = 2.6634234022858502004554270235403e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.18 y[1] (closed_form) = -11.252441113673423074505682454214 y[1] (numeric) = -11.252441113673423074505682454217 absolute error = 3e-30 relative error = 2.6660881578438520921359477021867e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.17 y[1] (closed_form) = -11.241194296905368393822163448954 y[1] (numeric) = -11.241194296905368393822163448956 absolute error = 2e-30 relative error = 1.7791703863268226677927466477949e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.16 y[1] (closed_form) = -11.229958721332547384729672586828 y[1] (numeric) = -11.22995872133254738472967258683 absolute error = 2e-30 relative error = 1.7809504465949451985213319954846e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.15 y[1] (closed_form) = -11.218734375719383538109205163662 y[1] (numeric) = -11.218734375719383538109205163664 absolute error = 2e-30 relative error = 1.7827322878136627367372791946017e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.14 y[1] (closed_form) = -11.207521248841530305434748949929 y[1] (numeric) = -11.207521248841530305434748949931 absolute error = 2e-30 relative error = 1.7845159117648166496448996371141e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.13 y[1] (closed_form) = -11.196319329485859874425800302496 y[1] (numeric) = -11.196319329485859874425800302498 absolute error = 2e-30 relative error = 1.7863013202320310370334404479791e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.12 y[1] (closed_form) = -11.185128606450451955918617456767 y[1] (numeric) = -11.18512860645045195591861745677 absolute error = 3e-30 relative error = 2.6821327725010717723519993646072e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.11 y[1] (closed_form) = -11.173949068544582581944997869559 y[1] (numeric) = -11.173949068544582581944997869561 absolute error = 2e-30 relative error = 1.7898774978580620008649572450032e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=448.5MB, alloc=52.3MB, time=5.05 TOP MAIN SOLVE Loop x[1] = -1.1 y[1] (closed_form) = -11.16278070458871291500737769053 y[1] (numeric) = -11.162780704588712915007377690532 absolute error = 2e-30 relative error = 1.7916682705930565013537091657530e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.09 y[1] (closed_form) = -11.151623503414478068539062636355 y[1] (numeric) = -11.151623503414478068539062636357 absolute error = 2e-30 relative error = 1.7934608349964709005931553846498e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.08 y[1] (closed_form) = -11.140477453864675938538410726922 y[1] (numeric) = -11.140477453864675938538410726924 absolute error = 2e-30 relative error = 1.7952551928608697513780670716854e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.07 y[1] (closed_form) = -11.129342544793256046365798516819 y[1] (numeric) = -11.129342544793256046365798516821 absolute error = 2e-30 relative error = 1.7970513459806110676371220293366e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.06 y[1] (closed_form) = -11.11821876506530839269221361814 y[1] (numeric) = -11.118218765065308392692213618141 absolute error = 1e-30 relative error = 8.9942464807592405939553407554109e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.05 y[1] (closed_form) = -11.107106103557052322588327462272 y[1] (numeric) = -11.107106103557052322588327462274 absolute error = 2e-30 relative error = 1.8006490451725312259061425215956e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.04 y[1] (closed_form) = -11.09600454915582540174291338882 y[1] (numeric) = -11.096004549155825401742913388822 absolute error = 2e-30 relative error = 1.8024505948424095596445423121795e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.03 y[1] (closed_form) = -11.08491409076007230379948627914 y[1] (numeric) = -11.084914090760072303799486279142 absolute error = 2e-30 relative error = 1.8042539469630329400137454220665e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.02 y[1] (closed_form) = -11.073834717279333708800051070218 y[1] (numeric) = -11.073834717279333708800051070221 absolute error = 3e-30 relative error = 2.7090886550066304568747209225790e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1.01 y[1] (closed_form) = -11.062766417634235212724858591698 y[1] (numeric) = -11.062766417634235212724858591701 absolute error = 3e-30 relative error = 2.7117990986575922677547230523823e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -1 y[1] (closed_form) = -11.051709180756476248117078264902 y[1] (numeric) = -11.051709180756476248117078264906 absolute error = 4e-30 relative error = 3.6193496721438382926569962377859e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.99 y[1] (closed_form) = -11.040662995588819015781308287589 y[1] (numeric) = -11.040662995588819015781308287592 absolute error = 3e-30 relative error = 2.7172281240706454884715400988886e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.98 y[1] (closed_form) = -11.029627851085077427544855002038 y[1] (numeric) = -11.02962785108507742754485500204 absolute error = 2e-30 relative error = 1.8132978075078418425202501560912e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.97 y[1] (closed_form) = -11.018603736210106060070724206816 y[1] (numeric) = -11.018603736210106060070724206818 absolute error = 2e-30 relative error = 1.8151120122665453087236453584379e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.96 y[1] (closed_form) = -11.007590639939789119711278224304 y[1] (numeric) = -11.007590639939789119711278224306 absolute error = 2e-30 relative error = 1.8169280321374123008117468077742e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.95 y[1] (closed_form) = -10.996588551261029418391523576709 y[1] (numeric) = -10.996588551261029418391523576711 absolute error = 2e-30 relative error = 1.8187458689364628409865408756174e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.94 y[1] (closed_form) = -10.985597459171737360511005152943 y[1] (numeric) = -10.985597459171737360511005152946 absolute error = 3e-30 relative error = 2.7308482867223008196774590607801e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.93 y[1] (closed_form) = -10.974617352680819940853293767339 y[1] (numeric) = -10.974617352680819940853293767342 absolute error = 3e-30 relative error = 2.7335805008884216708740723671487e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.92 y[1] (closed_form) = -10.96364822080816975349206501877 y[1] (numeric) = -10.963648220808169753492065018773 absolute error = 3e-30 relative error = 2.7363154486352712088750238620336e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.91 y[1] (closed_form) = -10.952690052584654011682778355348 y[1] (numeric) = -10.95269005258465401168277835535 absolute error = 2e-30 relative error = 1.8260354217985316056281142539499e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9 y[1] (closed_form) = -10.941742837052103578728976235449 y[1] (numeric) = -10.941742837052103578728976235451 absolute error = 2e-30 relative error = 1.8278623705424563734947070929990e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.89 y[1] (closed_form) = -10.93080656326330200981223425047 y[1] (numeric) = -10.930806563263302009812234250472 absolute error = 2e-30 relative error = 1.8296911471489040056869626936841e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.88 y[1] (closed_form) = -10.919881220281974604774804038334 y[1] (numeric) = -10.919881220281974604774804038335 absolute error = 1e-30 relative error = 9.1576087672332563052528443274917e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.87 y[1] (closed_form) = -10.908966797182777471844001769483 y[1] (numeric) = -10.908966797182777471844001769484 absolute error = 1e-30 relative error = 9.1667709563315229494165543466855e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.86 y[1] (closed_form) = -10.898063283051286602287405928845 y[1] (numeric) = -10.898063283051286602287405928847 absolute error = 2e-30 relative error = 1.8351884624403019645416742658248e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.85 y[1] (closed_form) = -10.887170666983986955987939048046 y[1] (numeric) = -10.887170666983986955987939048048 absolute error = 2e-30 relative error = 1.8370245688029147118789699749705e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.84 y[1] (closed_form) = -10.876288938088261557927918962048 y[1] (numeric) = -10.87628893808826155792791896205 absolute error = 2e-30 relative error = 1.8388625121902493475168139854276e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.83 y[1] (closed_form) = -10.865418085482380605571176073354 y[1] (numeric) = -10.865418085482380605571176073357 absolute error = 3e-30 relative error = 2.7610534416603741179276939774876e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.82 y[1] (closed_form) = -10.854558098295490587132344004997 y[1] (numeric) = -10.854558098295490587132344005 absolute error = 3e-30 relative error = 2.7638158760890459627487595287347e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.81 y[1] (closed_form) = -10.843708965667603410722441910677 y[1] (numeric) = -10.84370896566760341072244191068 absolute error = 3e-30 relative error = 2.7665810743338242146131391823645e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.8 y[1] (closed_form) = -10.832870676749585544359877586749 y[1] (numeric) = -10.832870676749585544359877586751 absolute error = 2e-30 relative error = 1.8462326927732715658215196991448e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.79 y[1] (closed_form) = -10.822043220703147166836011396133 y[1] (numeric) = -10.822043220703147166836011396135 absolute error = 2e-30 relative error = 1.8480798488901736145687052951016e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.78 y[1] (closed_form) = -10.81122658670083132942443186883 y[1] (numeric) = -10.811226586700831329424431868833 absolute error = 3e-30 relative error = 2.7748932796306178402230697941888e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.77 y[1] (closed_form) = -10.800420763926003128423104687404 y[1] (numeric) = -10.800420763926003128423104687407 absolute error = 3e-30 relative error = 2.7776695608194861303252657906402e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.76 y[1] (closed_form) = -10.789625741572838888518567598667 y[1] (numeric) = -10.789625741572838888518567598669 absolute error = 2e-30 relative error = 1.8536324131187644749231396567464e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.75 y[1] (closed_form) = -10.778841508846315356961354614889 y[1] (numeric) = -10.778841508846315356961354614891 absolute error = 2e-30 relative error = 1.8554869726571057844334859189292e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.74 y[1] (closed_form) = -10.768068054962198908541843679026 y[1] (numeric) = -10.768068054962198908541843679029 absolute error = 3e-30 relative error = 2.7860150815238615624537382559775e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.73 y[1] (closed_form) = -10.757305369147034761355732768937 y[1] (numeric) = -10.757305369147034761355732768939 absolute error = 2e-30 relative error = 1.8592016600515854267000062266775e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.72 y[1] (closed_form) = -10.746553440638136203348360205147 y[1] (numeric) = -10.746553440638136203348360205149 absolute error = 2e-30 relative error = 1.8610617916224114634931157306432e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.71 y[1] (closed_form) = -10.735812258683573829627095705603 y[1] (numeric) = -10.735812258683573829627095705604 memory used=493.7MB, alloc=52.3MB, time=5.55 absolute error = 1e-30 relative error = 9.3146189212759210559274677242998e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.7 y[1] (closed_form) = -10.725081812542164790531039498891 y[1] (numeric) = -10.725081812542164790531039498893 absolute error = 2e-30 relative error = 1.8647876398118964577159452649700e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.69 y[1] (closed_form) = -10.71436209148346205044727756474 y[1] (numeric) = -10.714362091483462050447277564743 absolute error = 3e-30 relative error = 2.7999800402346058726770284872330e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.68 y[1] (closed_form) = -10.703653084787743657362951817157 y[1] (numeric) = -10.70365308478774365736295181716 absolute error = 3e-30 relative error = 2.8027814207316406250638090270017e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.67 y[1] (closed_form) = -10.692954781746002023142414781375 y[1] (numeric) = -10.692954781746002023142414781377 absolute error = 2e-30 relative error = 1.8703904026735531161449296253669e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.66 y[1] (closed_form) = -10.682267171659933214518749040878 y[1] (numeric) = -10.68226717165993321451874904088 absolute error = 2e-30 relative error = 1.8722617285832376883391877027444e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.65 y[1] (closed_form) = -10.671590243841926254788942445126 y[1] (numeric) = -10.671590243841926254788942445128 absolute error = 2e-30 relative error = 1.8741349267548068655870501162338e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.64 y[1] (closed_form) = -10.660923987615052436202020772267 y[1] (numeric) = -10.660923987615052436202020772269 absolute error = 2e-30 relative error = 1.8760099990614589755575469477905e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.63 y[1] (closed_form) = -10.650268392313054643029450234071 y[1] (numeric) = -10.650268392313054643029450234073 absolute error = 2e-30 relative error = 1.8778869473782664811588189307880e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.62 y[1] (closed_form) = -10.639623447280336685307132892608 y[1] (numeric) = -10.63962344728033668530713289261 absolute error = 2e-30 relative error = 1.8797657735821778556107366142026e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.61 y[1] (closed_form) = -10.628989141871952643238328729772 y[1] (numeric) = -10.628989141871952643238328729774 absolute error = 2e-30 relative error = 1.8816464795520194593935299948617e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.6 y[1] (closed_form) = -10.618365465453596222246848771684 y[1] (numeric) = -10.618365465453596222246848771685 absolute error = 1e-30 relative error = 9.4176453358424870953715278327113e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.59 y[1] (closed_form) = -10.607752407401590118669874320282 y[1] (numeric) = -10.607752407401590118669874320284 absolute error = 2e-30 relative error = 1.8854135383141995080133296125935e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.58 y[1] (closed_form) = -10.597149957102875396079767984034 y[1] (numeric) = -10.597149957102875396079767984035 absolute error = 1e-30 relative error = 9.4364994743679851447597922426099e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.57 y[1] (closed_form) = -10.586558103955000872224252828688 y[1] (numeric) = -10.586558103955000872224252828689 absolute error = 1e-30 relative error = 9.4459406936652334924204910131481e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.56 y[1] (closed_form) = -10.57597683736611251657434658737 y[1] (numeric) = -10.575976837366112516574346587371 absolute error = 1e-30 relative error = 9.4553913589039626670653930315862e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.55 y[1] (closed_form) = -10.565406146754942858469448477071 y[1] (numeric) = -10.565406146754942858469448477071 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.54 y[1] (closed_form) = -10.554846021550800405848986765723 y[1] (numeric) = -10.554846021550800405848986765723 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.53 y[1] (closed_form) = -10.544296451193559074560045820645 y[1] (numeric) = -10.544296451193559074560045820645 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.52 y[1] (closed_form) = -10.533757425133647628230401945091 y[1] (numeric) = -10.53375742513364762823040194509 absolute error = 1e-30 relative error = 9.4932886684288958253999215680401e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.51 y[1] (closed_form) = -10.523228932832039128696407875055 y[1] (numeric) = -10.523228932832039128696407875055 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.5 y[1] (closed_form) = -10.512710963760240396975176363356 y[1] (numeric) = -10.512710963760240396975176363357 absolute error = 1e-30 relative error = 9.5122942450071400909142531977969e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.49 y[1] (closed_form) = -10.502203507400281484770523822288 y[1] (numeric) = -10.502203507400281484770523822289 absolute error = 1e-30 relative error = 9.5218112969850485336189436698842e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.48 y[1] (closed_form) = -10.491706553244705156502145529909 y[1] (numeric) = -10.49170655324470515650214552991 absolute error = 1e-30 relative error = 9.5313378707750474456733659912569e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.47 y[1] (closed_form) = -10.481220090796556381847504428274 y[1] (numeric) = -10.481220090796556381847504428274 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.46 y[1] (closed_form) = -10.470744109569371838785926054613 y[1] (numeric) = -10.470744109569371838785926054613 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.45 y[1] (closed_form) = -10.460278599087169427134402648689 y[1] (numeric) = -10.460278599087169427134402648688 absolute error = 1e-30 relative error = 9.5599748183309990701392762949807e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.44 y[1] (closed_form) = -10.449823548884437792564619971247 y[1] (numeric) = -10.449823548884437792564619971246 absolute error = 1e-30 relative error = 9.5695395747304667830612840701842e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.43 y[1] (closed_form) = -10.439378948506125861090730849729 y[1] (numeric) = -10.439378948506125861090730849727 absolute error = 2e-30 relative error = 1.9158227801340613376215769000838e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.42 y[1] (closed_form) = -10.428944787507632384017409938138 y[1] (numeric) = -10.428944787507632384017409938136 absolute error = 2e-30 relative error = 1.9177395611449691045959008428590e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.41 y[1] (closed_form) = -10.41852105545479549333773463825 y[1] (numeric) = -10.418521055454795493337734638248 absolute error = 2e-30 relative error = 1.9196582598955978281747518500586e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.4 y[1] (closed_form) = -10.408107741923882267570447579169 y[1] (numeric) = -10.408107741923882267570447579167 absolute error = 2e-30 relative error = 1.9215788783046464188784213826464e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.39 y[1] (closed_form) = -10.397704836501578308026166491635 y[1] (numeric) = -10.397704836501578308026166491633 absolute error = 2e-30 relative error = 1.9235014182927334458070395667255e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.38 y[1] (closed_form) = -10.38731232878497732549211774241 y[1] (numeric) = -10.387312328784977325492117742409 absolute error = 1e-30 relative error = 9.6271294089119952862965217261105e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.37 y[1] (closed_form) = -10.37693020838157073732498021262 y[1] (numeric) = -10.376930208381570737324980212619 absolute error = 1e-30 relative error = 9.6367613534905345163639499413352e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.36 y[1] (closed_form) = -10.366558464909237274941436612021 y[1] (numeric) = -10.366558464909237274941436612019 absolute error = 2e-30 relative error = 1.9292805869662460600877575027470e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.35 y[1] (closed_form) = -10.356197087996232601696039718881 y[1] (numeric) = -10.35619708799623260169603971888 absolute error = 1e-30 relative error = 9.6560541625756647826819570249673e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.34 y[1] (closed_form) = -10.345846067281178941136011422479 y[1] (numeric) = -10.345846067281178941136011422478 absolute error = 1e-30 relative error = 9.6657150463750665117969462300404e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.33 y[1] (closed_form) = -10.335505392413054715622602822143 y[1] (numeric) = -10.335505392413054715622602822143 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.32 y[1] (closed_form) = -10.325175053051184195308654003351 y[1] (numeric) = -10.325175053051184195308654003351 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=538.8MB, alloc=52.3MB, time=6.05 TOP MAIN SOLVE Loop x[1] = -0.31 y[1] (closed_form) = -10.314855038865227157462002467556 y[1] (numeric) = -10.314855038865227157462002467555 absolute error = 1e-30 relative error = 9.6947557307602594789646565047994e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.3 y[1] (closed_form) = -10.304545339535168556124399538312 y[1] (numeric) = -10.304545339535168556124399538311 absolute error = 1e-30 relative error = 9.7044553354850817693252835195919e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.29 y[1] (closed_form) = -10.294245944751308202095604401746 y[1] (numeric) = -10.294245944751308202095604401745 absolute error = 1e-30 relative error = 9.7141646446660482494059271040065e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.28 y[1] (closed_form) = -10.283956844214250453232335764603 y[1] (numeric) = -10.283956844214250453232335764602 absolute error = 1e-30 relative error = 9.7238836680124689092821927228635e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.27 y[1] (closed_form) = -10.273678027634893915051771427967 y[1] (numeric) = -10.273678027634893915051771427966 absolute error = 1e-30 relative error = 9.7336124152433679052933794514377e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.26 y[1] (closed_form) = -10.263409484734421151629296379292 y[1] (numeric) = -10.263409484734421151629296379291 absolute error = 1e-30 relative error = 9.7433508960874932790674462334648e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.25 y[1] (closed_form) = -10.253151205244288406780210299643 y[1] (numeric) = -10.253151205244288406780210299642 absolute error = 1e-30 relative error = 9.7530991202833266862698642381281e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.24 y[1] (closed_form) = -10.242903178906215335515115666984 y[1] (numeric) = -10.242903178906215335515115666983 absolute error = 1e-30 relative error = 9.7628570975790931350860840656970e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.23 y[1] (closed_form) = -10.232665395472174745758717910056 y[1] (numeric) = -10.232665395472174745758717910056 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.22 y[1] (closed_form) = -10.222437844704382350321779330793 y[1] (numeric) = -10.222437844704382350321779330793 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.21 y[1] (closed_form) = -10.212220516375286529115978766358 y[1] (numeric) = -10.212220516375286529115978766358 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.2 y[1] (closed_form) = -10.202013400267558101601439204831 y[1] (numeric) = -10.202013400267558101601439204831 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.19 y[1] (closed_form) = -10.191816486174080109456695801204 y[1] (numeric) = -10.191816486174080109456695801204 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.18 y[1] (closed_form) = -10.181629763897937609460886962804 y[1] (numeric) = -10.181629763897937609460886962804 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.17 y[1] (closed_form) = -10.171453223252407476577961385496 y[1] (numeric) = -10.171453223252407476577961385497 absolute error = 1e-30 relative error = 9.8314368463490963482433579800701e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.16 y[1] (closed_form) = -10.161286854060948217232704124009 y[1] (numeric) = -10.16128685406094821723270412401 absolute error = 1e-30 relative error = 9.8412732005528511520088531740166e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.15 y[1] (closed_form) = -10.151130646157189792768394971565 y[1] (numeric) = -10.151130646157189792768394971566 absolute error = 1e-30 relative error = 9.8511193960306266147528833182353e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.14 y[1] (closed_form) = -10.14098458938492345307592260563 y[1] (numeric) = -10.140984589384923453075922605631 absolute error = 1e-30 relative error = 9.8609754426286190347672283219223e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.13 y[1] (closed_form) = -10.130848673598091580384188128046 y[1] (numeric) = -10.130848673598091580384188128047 absolute error = 1e-30 relative error = 9.8708413502028758313815520766975e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.12 y[1] (closed_form) = -10.1207228886607775432016417891 y[1] (numeric) = -10.1207228886607775432016417891 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.11 y[1] (closed_form) = -10.110607224447195560398806836228 y[1] (numeric) = -10.110607224447195560398806836228 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.1 y[1] (closed_form) = -10.100501670841680575421654569029 y[1] (numeric) = -10.100501670841680575421654569029 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.09 y[1] (closed_form) = -10.090406217738678140625704813119 y[1] (numeric) = -10.090406217738678140625704813119 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.08 y[1] (closed_form) = -10.080320855042734311720736146086 y[1] (numeric) = -10.080320855042734311720736146087 absolute error = 1e-30 relative error = 9.9203191483706063033986970026890e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.07 y[1] (closed_form) = -10.070245572668485552316000319413 y[1] (numeric) = -10.070245572668485552316000319414 absolute error = 1e-30 relative error = 9.9302444293323510490479703175605e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.06 y[1] (closed_form) = -10.060180360540648648555845420738 y[1] (numeric) = -10.060180360540648648555845420739 absolute error = 1e-30 relative error = 9.9401796405393526474449877224524e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.05 y[1] (closed_form) = -10.050125208594010633835662411241 y[1] (numeric) = -10.050125208594010633835662411242 absolute error = 1e-30 relative error = 9.9501247919268231335256424623247e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.04 y[1] (closed_form) = -10.040080106773418723588079753259 y[1] (numeric) = -10.04008010677341872358807975326 absolute error = 1e-30 relative error = 9.9600798934399147235230638657944e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.03 y[1] (closed_form) = -10.030045045033770260129340913489 y[1] (numeric) = -10.03004504503377026012934091349 absolute error = 1e-30 relative error = 9.9700449550337297601206623409756e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.02 y[1] (closed_form) = -10.020020013340002667555809587316 y[1] (numeric) = -10.020020013340002667555809587317 absolute error = 1e-30 relative error = 9.9800199866733306675553016507792e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.01 y[1] (closed_form) = -10.010005001667083416680557539931 y[1] (numeric) = -10.010005001667083416680557539932 absolute error = 1e-30 relative error = 9.9900049983337499166805535716761e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0 y[1] (closed_form) = -10 y[1] (numeric) = -10.000000000000000000000000000001 absolute error = 1e-30 relative error = 1.0000000000000000000000000000000e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.01 y[1] (closed_form) = -9.9900049983337499166805535716767 y[1] (numeric) = -9.9900049983337499166805535716775 absolute error = 8e-31 relative error = 8.0080040013336667333444460319444e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.02 y[1] (closed_form) = -9.9800199866733306675553016507795 y[1] (numeric) = -9.9800199866733306675553016507805 absolute error = 1.0e-30 relative error = 1.0020020013340002667555809587316e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.03 y[1] (closed_form) = -9.9700449550337297601206623409758 y[1] (numeric) = -9.9700449550337297601206623409765 absolute error = 7e-31 relative error = 7.0210315315236391820905386394422e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.04 y[1] (closed_form) = -9.9600798934399147235230638657955 y[1] (numeric) = -9.9600798934399147235230638657956 absolute error = 1e-31 relative error = 1.0040080106773418723588079753258e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.05 y[1] (closed_form) = -9.950124791926823133525642462325 y[1] (numeric) = -9.9501247919268231335256424623258 absolute error = 8e-31 relative error = 8.0401001668752085070685299289926e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.06 y[1] (closed_form) = -9.9401796405393526474449877224518 y[1] (numeric) = -9.940179640539352647444987722453 absolute error = 1.2e-30 relative error = 1.2072216432648778378267014504886e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.07 y[1] (closed_form) = -9.9302444293323510490479703175599 y[1] (numeric) = -9.9302444293323510490479703175609 absolute error = 1.0e-30 relative error = 1.0070245572668485552316000319414e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.08 y[1] (closed_form) = -9.9203191483706063033986970026885 y[1] (numeric) = -9.9203191483706063033986970026894 absolute error = 9e-31 relative error = 9.0722887695384608805486625314779e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=583.9MB, alloc=52.3MB, time=6.53 TOP MAIN SOLVE Loop x[1] = 0.09 y[1] (closed_form) = -9.9104037877288366216456477462772 y[1] (numeric) = -9.9104037877288366216456477462778 absolute error = 6e-31 relative error = 6.0542437306432068843754228878712e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (closed_form) = -9.9004983374916805357390597718003 y[1] (numeric) = -9.900498337491680535739059771801 absolute error = 7e-31 relative error = 7.0703511695891764027951581983201e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (closed_form) = -9.8906027877536869830686332278568 y[1] (numeric) = -9.8906027877536869830686332278573 absolute error = 5e-31 relative error = 5.0553036122235977801994034181137e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (closed_form) = -9.8807171286193054010116431235845 y[1] (numeric) = -9.8807171286193054010116431235853 absolute error = 8e-31 relative error = 8.0965783109286220345613134312798e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (closed_form) = -9.8708413502028758313815520766976 y[1] (numeric) = -9.8708413502028758313815520766983 absolute error = 7e-31 relative error = 7.0915940715186641062689316896322e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (closed_form) = -9.8609754426286190347672283219222 y[1] (numeric) = -9.8609754426286190347672283219228 absolute error = 6e-31 relative error = 6.0845907536309540718455535633780e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (closed_form) = -9.8511193960306266147528833182355 y[1] (numeric) = -9.8511193960306266147528833182361 absolute error = 6e-31 relative error = 6.0906783876943138756610369829389e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (closed_form) = -9.8412732005528511520088531740168 y[1] (numeric) = -9.8412732005528511520088531740171 absolute error = 3e-31 relative error = 3.0483860562182844651698112372026e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (closed_form) = -9.831436846349096348243357980069 y[1] (numeric) = -9.8314368463490963482433579800704 absolute error = 1.4e-30 relative error = 1.4240034512553370467209145939696e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (closed_form) = -9.8216103235830071800053830014598 y[1] (numeric) = -9.8216103235830071800053830014604 absolute error = 6e-31 relative error = 6.1089778583387625656765321776823e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (closed_form) = -9.8117936224280600623288355302174 y[1] (numeric) = -9.8117936224280600623288355302177 absolute error = 3e-31 relative error = 3.0575449458522240328370087403611e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (closed_form) = -9.8019867330675530222081410422531 y[1] (numeric) = -9.8019867330675530222081410422537 absolute error = 6e-31 relative error = 6.1212080401605348609608635228989e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (closed_form) = -9.79218964569459588189545213326 y[1] (numeric) = -9.7921896456945958818954521332606 absolute error = 6e-31 relative error = 6.1273323098251719174695872598148e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (closed_form) = -9.7824023505121004520096535299889 y[1] (numeric) = -9.7824023505121004520096535299892 absolute error = 3e-31 relative error = 3.0667313534113147050965337992377e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (closed_form) = -9.7726248377327707344473562850893 y[1] (numeric) = -9.77262483773277073444735628509 absolute error = 7e-31 relative error = 7.1628657768305223220311025370395e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (closed_form) = -9.7628570975790931350860840656978 y[1] (numeric) = -9.7628570975790931350860840656979 absolute error = 1e-31 relative error = 1.0242903178906215335515115666983e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (closed_form) = -9.7530991202833266862698642381284 y[1] (numeric) = -9.7530991202833266862698642381286 absolute error = 2e-31 relative error = 2.0506302410488576813560420599285e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (closed_form) = -9.7433508960874932790674462334644 y[1] (numeric) = -9.7433508960874932790674462334654 absolute error = 1.0e-30 relative error = 1.0263409484734421151629296379292e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.27 y[1] (closed_form) = -9.7336124152433679052933794514378 y[1] (numeric) = -9.7336124152433679052933794514386 absolute error = 8e-31 relative error = 8.2189424221079151320414171423735e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.28 y[1] (closed_form) = -9.7238836680124689092821927228636 y[1] (numeric) = -9.723883668012468909282192722864 absolute error = 4e-31 relative error = 4.1135827376857001812929343058412e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (closed_form) = -9.7141646446660482494059271040065 y[1] (numeric) = -9.7141646446660482494059271040069 absolute error = 4e-31 relative error = 4.1176983779005232808382417606984e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (closed_form) = -9.7044553354850817693252835195917 y[1] (numeric) = -9.7044553354850817693252835195925 absolute error = 8e-31 relative error = 8.2436362716281348448995196306498e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (closed_form) = -9.6947557307602594789646565048 y[1] (numeric) = -9.6947557307602594789646565048001 absolute error = 1e-31 relative error = 1.0314855038865227157462002467555e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (closed_form) = -9.6850658207919758452013350204645 y[1] (numeric) = -9.6850658207919758452013350204649 absolute error = 4e-31 relative error = 4.1300700212204736781234616013405e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (closed_form) = -9.6753855958903200922591610298785 y[1] (numeric) = -9.675385595890320092259161029879 absolute error = 5e-31 relative error = 5.1677526962065273578113014110717e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.34 y[1] (closed_form) = -9.6657150463750665117969462300414 y[1] (numeric) = -9.6657150463750665117969462300414 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (closed_form) = -9.6560541625756647826819570249669 y[1] (numeric) = -9.6560541625756647826819570249676 absolute error = 7e-31 relative error = 7.2493379615973628211872278032170e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.36 y[1] (closed_form) = -9.6464029348312303004387875137353 y[1] (numeric) = -9.6464029348312303004387875137355 absolute error = 2e-31 relative error = 2.0733116929818474549882873224041e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (closed_form) = -9.6367613534905345163639499413353 y[1] (numeric) = -9.6367613534905345163639499413356 absolute error = 3e-31 relative error = 3.1130790625144712211974940637860e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (closed_form) = -9.6271294089119952862965217261099 y[1] (numeric) = -9.6271294089119952862965217261108 absolute error = 9e-31 relative error = 9.3485810959064795929429059681696e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (closed_form) = -9.6175070914636672290351978336278 y[1] (numeric) = -9.6175070914636672290351978336284 absolute error = 6e-31 relative error = 6.2386229019009469848156998949809e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (closed_form) = -9.6078943915232320943921069132328 y[1] (numeric) = -9.6078943915232320943921069132329 absolute error = 1e-31 relative error = 1.0408107741923882267570447579168e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (closed_form) = -9.5982912994779891408737592502932 y[1] (numeric) = -9.5982912994779891408737592502941 absolute error = 9e-31 relative error = 9.3766689499093159440039611744250e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (closed_form) = -9.5886978057248455229795042142946 y[1] (numeric) = -9.5886978057248455229795042142954 absolute error = 8e-31 relative error = 8.3431558300061059072139279505108e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (closed_form) = -9.5791139006703066881078845004193 y[1] (numeric) = -9.5791139006703066881078845004194 absolute error = 1e-31 relative error = 1.0439378948506125861090730849729e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.44 y[1] (closed_form) = -9.5695395747304667830612840701836 y[1] (numeric) = -9.5695395747304667830612840701845 absolute error = 9e-31 relative error = 9.4048411939959940133081579741229e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (closed_form) = -9.5599748183309990701392762949805 y[1] (numeric) = -9.5599748183309990701392762949811 absolute error = 6e-31 relative error = 6.2761671594523016562806415892135e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (closed_form) = -9.5504196219071463528110883950569 y[1] (numeric) = -9.5504196219071463528110883950572 absolute error = 3e-31 relative error = 3.1412232328708115516357778163839e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (closed_form) = -9.5408739759037114109576078456193 y[1] (numeric) = -9.5408739759037114109576078456191 absolute error = 2e-31 relative error = 2.0962440181593112763695008856546e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=628.8MB, alloc=52.3MB, time=7.03 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (closed_form) = -9.5313378707750474456733659912569 y[1] (numeric) = -9.5313378707750474456733659912571 absolute error = 2e-31 relative error = 2.0983413106489410313004291059818e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.49 y[1] (closed_form) = -9.5218112969850485336189436698833 y[1] (numeric) = -9.5218112969850485336189436698843 absolute error = 1.0e-30 relative error = 1.0502203507400281484770523822289e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (closed_form) = -9.5122942450071400909142531977965 y[1] (numeric) = -9.5122942450071400909142531977969 absolute error = 4e-31 relative error = 4.2050843855040961587900705453426e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.51 y[1] (closed_form) = -9.5027867053242693465631606083448 y[1] (numeric) = -9.5027867053242693465631606083449 absolute error = 1e-31 relative error = 1.0523228932832039128696407875055e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (closed_form) = -9.4932886684288958253999215680405 y[1] (numeric) = -9.4932886684288958253999215680408 absolute error = 3e-31 relative error = 3.1601272275400942884691205835272e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.53 y[1] (closed_form) = -9.4838001248229818405479139157484 y[1] (numeric) = -9.4838001248229818405479139157492 absolute error = 8e-31 relative error = 8.4354371609548472596480366565165e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (closed_form) = -9.4743210650179829953811592828976 y[1] (numeric) = -9.4743210650179829953811592828975 absolute error = 1e-31 relative error = 1.0554846021550800405848986765722e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (closed_form) = -9.4648514795348386949791357554385 y[1] (numeric) = -9.4648514795348386949791357554386 absolute error = 1e-31 relative error = 1.0565406146754942858469448477070e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (closed_form) = -9.4553913589039626670653930315855 y[1] (numeric) = -9.455391358903962667065393031586 absolute error = 5e-31 relative error = 5.2879884186830562582871732936854e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (closed_form) = -9.4459406936652334924204910131476 y[1] (numeric) = -9.4459406936652334924204910131481 absolute error = 5e-31 relative error = 5.2932790519775004361121264143443e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (closed_form) = -9.4364994743679851447597922426091 y[1] (numeric) = -9.4364994743679851447597922426098 absolute error = 7e-31 relative error = 7.4180049699720127772558375888244e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.59 y[1] (closed_form) = -9.4270676915709975400666480629666 y[1] (numeric) = -9.4270676915709975400666480629671 absolute error = 5e-31 relative error = 5.3038762037007950593349371601414e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (closed_form) = -9.4176453358424870953715278327121 y[1] (numeric) = -9.4176453358424870953715278327117 absolute error = 4e-31 relative error = 4.2473461861814384888987395086732e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.61 y[1] (closed_form) = -9.4082323977600972969676499743085 y[1] (numeric) = -9.4082323977600972969676499743088 absolute error = 3e-31 relative error = 3.1886967425615857929714986189316e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (closed_form) = -9.3988288679108892780536830710126 y[1] (numeric) = -9.3988288679108892780536830710133 absolute error = 7e-31 relative error = 7.4477364130962356797149930248261e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (closed_form) = -9.3894347368913324057940946539392 y[1] (numeric) = -9.38943473689133240579409465394 absolute error = 8e-31 relative error = 8.5202147138504437144235601872576e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (closed_form) = -9.380049995307294877787734738952 y[1] (numeric) = -9.3800499953072948777877347389523 absolute error = 3e-31 relative error = 3.1982771962845157308606062316803e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.65 y[1] (closed_form) = -9.3706746337740343279352505811685 y[1] (numeric) = -9.3706746337740343279352505811692 absolute error = 7e-31 relative error = 7.4701131706893483783522597115887e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (closed_form) = -9.3613086429161884416959385137221 y[1] (numeric) = -9.3613086429161884416959385137226 absolute error = 5e-31 relative error = 5.3411335858299666072593745204389e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (closed_form) = -9.3519520133677655807246481268352 y[1] (numeric) = -9.3519520133677655807246481268349 absolute error = 3e-31 relative error = 3.2078864345238006069427244344122e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (closed_form) = -9.3426047357721354168793634233389 y[1] (numeric) = -9.3426047357721354168793634233392 absolute error = 3e-31 relative error = 3.2110959254363230972088855451472e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.69 y[1] (closed_form) = -9.3332668007820195755900949574429 y[1] (numeric) = -9.3332668007820195755900949574433 absolute error = 4e-31 relative error = 4.2857448365933848201789110258963e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (closed_form) = -9.3239381990594822885797263248498 y[1] (numeric) = -9.3239381990594822885797263248499 absolute error = 1e-31 relative error = 1.0725081812542164790531039498891e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (closed_form) = -9.3146189212759210559274677243002 y[1] (numeric) = -9.3146189212759210559274677243001 absolute error = 1e-31 relative error = 1.0735812258683573829627095705603e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (closed_form) = -9.3053089581120573174655786532159 y[1] (numeric) = -9.305308958112057317465578653216 absolute error = 1e-31 relative error = 1.0746553440638136203348360205147e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (closed_form) = -9.2960083002579271335000311333875 y[1] (numeric) = -9.2960083002579271335000311333878 absolute error = 3e-31 relative error = 3.2271916107441104284067198306812e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (closed_form) = -9.2867169384128718748457941865911 y[1] (numeric) = -9.2867169384128718748457941865915 absolute error = 4e-31 relative error = 4.3072272219848795634167374716107e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (closed_form) = -9.2774348632855289221674295946462 y[1] (numeric) = -9.2774348632855289221674295946463 absolute error = 1e-31 relative error = 1.0778841508846315356961354614889e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (closed_form) = -9.2681620655938223746156982837329 y[1] (numeric) = -9.2681620655938223746156982837324 absolute error = 5e-31 relative error = 5.3948128707864194442592837993330e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.77 y[1] (closed_form) = -9.2588985360649537677508859688015 y[1] (numeric) = -9.2588985360649537677508859688011 absolute error = 4e-31 relative error = 4.3201683055704012513692418749612e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.78 y[1] (closed_form) = -9.2496442654353928007435659806298 y[1] (numeric) = -9.2496442654353928007435659806292 absolute error = 6e-31 relative error = 6.4867359520204987976546591212978e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (closed_form) = -9.2403992444508680728435264755084 y[1] (numeric) = -9.2403992444508680728435264755083 absolute error = 1e-31 relative error = 1.0822043220703147166836011396132e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8 y[1] (closed_form) = -9.2311634638663578291075984957237 y[1] (numeric) = -9.2311634638663578291075984957241 absolute error = 4e-31 relative error = 4.3331482706998342177439510346996e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.81 y[1] (closed_form) = -9.2219369144460807153771306078809 y[1] (numeric) = -9.2219369144460807153771306078816 absolute error = 7e-31 relative error = 7.5905962759673223875057093374746e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.82 y[1] (closed_form) = -9.212719586963486542495865095782 y[1] (numeric) = -9.2127195869634865424958650957825 absolute error = 5e-31 relative error = 5.4272790491477452935661720024986e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.83 y[1] (closed_form) = -9.2035114722012470597589799249588 y[1] (numeric) = -9.2035114722012470597589799249589 absolute error = 1e-31 relative error = 1.0865418085482380605571176073354e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.84 y[1] (closed_form) = -9.1943125609512467375840699271381 y[1] (numeric) = -9.1943125609512467375840699271384 absolute error = 3e-31 relative error = 3.2628866814264784673783756886143e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.85 y[1] (closed_form) = -9.1851228440145735593948498748515 y[1] (numeric) = -9.1851228440145735593948498748524 absolute error = 9e-31 relative error = 9.7984536002855882603891451432423e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.86 y[1] (closed_form) = -9.1759423122015098227083713291232 y[1] (numeric) = -9.1759423122015098227083713291241 absolute error = 9e-31 relative error = 9.8082569547461579420586653359615e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop memory used=673.9MB, alloc=52.3MB, time=7.53 x[1] = 0.87 y[1] (closed_form) = -9.1667709563315229494165543466857 y[1] (numeric) = -9.1667709563315229494165543466859 absolute error = 2e-31 relative error = 2.1817933594365554943688003538965e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.88 y[1] (closed_form) = -9.1576087672332563052528443274921 y[1] (numeric) = -9.1576087672332563052528443274923 absolute error = 2e-31 relative error = 2.1839762440563949209549608076667e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.89 y[1] (closed_form) = -9.14845573574452002843481346842 y[1] (numeric) = -9.1484557357445200284348134684206 absolute error = 6e-31 relative error = 6.5584839379579812058873405502824e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9 y[1] (closed_form) = -9.1393118527122818674735354649952 y[1] (numeric) = -9.1393118527122818674735354649956 absolute error = 4e-31 relative error = 4.3766971348208414314915904941795e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.91 y[1] (closed_form) = -9.1301771089926580281405712697493 y[1] (numeric) = -9.1301771089926580281405712697503 absolute error = 1.0e-30 relative error = 1.0952690052584654011682778355348e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.92 y[1] (closed_form) = -9.1210514954509040295834128734448 y[1] (numeric) = -9.1210514954509040295834128734454 absolute error = 6e-31 relative error = 6.5781889324849018520952390112624e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.93 y[1] (closed_form) = -9.1119350029614055695802412238287 y[1] (numeric) = -9.111935002961405569580241223829 absolute error = 3e-31 relative error = 3.2923852058042459822559881302017e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.94 y[1] (closed_form) = -9.1028276224076693989248635359327 y[1] (numeric) = -9.1028276224076693989248635359337 absolute error = 1.0e-30 relative error = 1.0985597459171737360511005152944e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.95 y[1] (closed_form) = -9.0937293446823142049327043780875 y[1] (numeric) = -9.0937293446823142049327043780878 absolute error = 3e-31 relative error = 3.2989765653783088255174570730125e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.96 y[1] (closed_form) = -9.0846401606870615040587340388713 y[1] (numeric) = -9.0846401606870615040587340388719 absolute error = 6e-31 relative error = 6.6045543839638734718267669345822e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.97 y[1] (closed_form) = -9.0755600613327265436182267921899 y[1] (numeric) = -9.0755600613327265436182267921902 absolute error = 3e-31 relative error = 3.3055811208630318180212172620446e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.98 y[1] (closed_form) = -9.0664890375392092126012507804564 y[1] (numeric) = -9.0664890375392092126012507804566 absolute error = 2e-31 relative error = 2.2059255702170154855089710004075e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.99 y[1] (closed_form) = -9.0574270802354849615718003296284 y[1] (numeric) = -9.0574270802354849615718003296288 absolute error = 4e-31 relative error = 4.4162651982355276063125233150357e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1 y[1] (closed_form) = -9.0483741803595957316424905944638 y[1] (numeric) = -9.0483741803595957316424905944647 absolute error = 9e-31 relative error = 9.9465382626808286233053704384128e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (closed_form) = -9.0393303288586408925157435079402 y[1] (numeric) = -9.0393303288586408925157435079409 absolute error = 7e-31 relative error = 7.7439364923439646489074010141892e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (closed_form) = -9.0302955166887681895824030752633 y[1] (numeric) = -9.0302955166887681895824030752636 absolute error = 3e-31 relative error = 3.3221504151838001126400153210655e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.03 y[1] (closed_form) = -9.0212697348151647000687271103327 y[1] (numeric) = -9.0212697348151647000687271103328 absolute error = 1e-31 relative error = 1.1084914090760072303799486279140e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (closed_form) = -9.0122529742120477982227115608983 y[1] (numeric) = -9.0122529742120477982227115608983 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.05 y[1] (closed_form) = -9.0032452258626561295307126079781 y[1] (numeric) = -9.0032452258626561295307126079784 absolute error = 3e-31 relative error = 3.3321318310671156967764982386816e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (closed_form) = -8.9942464807592405939553407554117 y[1] (numeric) = -8.9942464807592405939553407554115 absolute error = 2e-31 relative error = 2.2236437530130616785384427236278e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (closed_form) = -8.9852567299030553381856101466826 y[1] (numeric) = -8.9852567299030553381856101466831 absolute error = 5e-31 relative error = 5.5646712723966280231828992584096e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (closed_form) = -8.9762759643043487568903353584271 y[1] (numeric) = -8.9762759643043487568903353584273 absolute error = 2e-31 relative error = 2.2280954907729351877076821453843e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.09 y[1] (closed_form) = -8.9673041749823545029657769232489 y[1] (numeric) = -8.9673041749823545029657769232494 absolute error = 5e-31 relative error = 5.5758117517072390342695313181774e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (closed_form) = -8.9583413529652825067685458287652 y[1] (numeric) = -8.9583413529652825067685458287656 absolute error = 4e-31 relative error = 4.4651122818354851660029510762119e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (closed_form) = -8.9493874892903100043247862250167 y[1] (numeric) = -8.9493874892903100043247862250169 absolute error = 2e-31 relative error = 2.2347898137089165163889995739116e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (closed_form) = -8.9404425750035725745066645486903 y[1] (numeric) = -8.9404425750035725745066645486912 absolute error = 9e-31 relative error = 1.0066615745805406760326755711091e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (closed_form) = -8.9315066011601551851672022398961 y[1] (numeric) = -8.9315066011601551851672022398964 absolute error = 3e-31 relative error = 3.3588957988457579623277400907486e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (closed_form) = -8.9225795588240832482244981855702 y[1] (numeric) = -8.9225795588240832482244981855711 absolute error = 9e-31 relative error = 1.0086769123957377274891274054937e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (closed_form) = -8.9136614390683136836863959730093 y[1] (numeric) = -8.9136614390683136836863959730095 absolute error = 2e-31 relative error = 2.2437468751438767076218410327323e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (closed_form) = -8.904752232974725992606659977423 y[1] (numeric) = -8.9047522329747259926066599774238 absolute error = 8e-31 relative error = 8.9839669770660379077837380694626e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (closed_form) = -8.8958519316341133389637332389749 y[1] (numeric) = -8.8958519316341133389637332389751 absolute error = 2e-31 relative error = 2.2482388593810736787644326897907e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (closed_form) = -8.8869605261461736404531590072887 y[1] (numeric) = -8.8869605261461736404531590072893 absolute error = 6e-31 relative error = 6.7514646682040538447034094725285e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (closed_form) = -8.878078007619500668184756745134 y[1] (numeric) = -8.8780780076195006681847567451349 absolute error = 9e-31 relative error = 1.0137329264595176218862704978659e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (closed_form) = -8.8692043671715751552756522876978 y[1] (numeric) = -8.8692043671715751552756522876989 absolute error = 1.1e-30 relative error = 1.2402465367373132386271921263124e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (closed_form) = -8.860339595928755914330270749748 y[1] (numeric) = -8.8603395959287559143302707497491 absolute error = 1.1e-30 relative error = 1.2414874036040783639214655100810e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (closed_form) = -8.8514836850262709637984096599351 y[1] (numeric) = -8.8514836850262709637984096599355 absolute error = 4e-31 relative error = 4.5190164071212747293861275079807e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (closed_form) = -8.8426366256082086632025186795641 y[1] (numeric) = -8.8426366256082086632025186795649 absolute error = 8e-31 relative error = 9.0470753675799145919096030753205e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (closed_form) = -8.833798408827508857225321132389 y[1] (numeric) = -8.8337984088275088572253211323892 absolute error = 2e-31 relative error = 2.2640317419983503069834930339641e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (closed_form) = -8.8249690258459540286489214322908 y[1] (numeric) = -8.824969025845954028648921432291 absolute error = 2e-31 relative error = 2.2662969061336526336580144556235e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (closed_form) = -8.8161484678341604601365513472371 y[1] (numeric) = -8.8161484678341604601365513472372 absolute error = 1e-31 relative error = 1.1342821682830249760334879711565e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=719.1MB, alloc=52.3MB, time=8.03 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (closed_form) = -8.8073367259715694048481168805093 y[1] (numeric) = -8.80733672597156940484811688051 absolute error = 7e-31 relative error = 7.9479191244704050924608338208272e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (closed_form) = -8.7985337914464382658807163840249 y[1] (numeric) = -8.7985337914464382658807163840257 absolute error = 8e-31 relative error = 9.0924240215764824568092888285726e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (closed_form) = -8.7897396554558317845253093435256 y[1] (numeric) = -8.7897396554558317845253093435259 absolute error = 3e-31 relative error = 3.4130703724971947467076761133979e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (closed_form) = -8.7809543092056132373307240915745 y[1] (numeric) = -8.7809543092056132373307240915743 absolute error = 2e-31 relative error = 2.2776567666492436612314252052378e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (closed_form) = -8.7721777439104356419662015116326 y[1] (numeric) = -8.7721777439104356419662015116332 absolute error = 6e-31 relative error = 6.8398066878719418359148254832172e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (closed_form) = -8.7634099507937329718736805950315 y[1] (numeric) = -8.763409950793732971873680595032 absolute error = 5e-31 relative error = 5.7055415963361754533223889367167e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (closed_form) = -8.7546509210877113797010405023787 y[1] (numeric) = -8.7546509210877113797010405023793 absolute error = 6e-31 relative error = 6.8534999899853654096481040416425e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (closed_form) = -8.74590064603334042950752256193 y[1] (numeric) = -8.7459006460333404295075225619305 absolute error = 5e-31 relative error = 5.7169640982232344880774616289653e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (closed_form) = -8.7371591168803443377325644096015 y[1] (numeric) = -8.7371591168803443377325644096017 absolute error = 2e-31 relative error = 2.2890735687026289753493561438704e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (closed_form) = -8.7284263248871932229192872387346 y[1] (numeric) = -8.7284263248871932229192872387346 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (closed_form) = -8.7197022613210943641838858823698 y[1] (numeric) = -8.7197022613210943641838858823699 absolute error = 1e-31 relative error = 1.1468281485203981949152311422666e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (closed_form) = -8.7109869174579834684221801966904 y[1] (numeric) = -8.710986917457983468422180196691 absolute error = 6e-31 relative error = 6.8878533016450720327639569733109e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (closed_form) = -8.7022802845825159462445949514617 y[1] (numeric) = -8.7022802845825159462445949514618 absolute error = 1e-31 relative error = 1.1491241000036050881504716454157e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (closed_form) = -8.6935823539880581966308441617117 y[1] (numeric) = -8.693582353988058196630844161712 absolute error = 3e-31 relative error = 3.4508213965716818043706927728635e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (closed_form) = -8.6848931169766789002956045146266 y[1] (numeric) = -8.6848931169766789002956045146262 absolute error = 4e-31 relative error = 4.6056985919389766459080998695347e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (closed_form) = -8.6762125648591403217564712565866 y[1] (numeric) = -8.6762125648591403217564712565867 absolute error = 1e-31 relative error = 1.1525766485370049916318442847085e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (closed_form) = -8.6675406889548896200954986076001 y[1] (numeric) = -8.6675406889548896200954986076002 absolute error = 1e-31 relative error = 1.1537298016660104068489015861522e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (closed_form) = -8.658877480592050168405635463924 y[1] (numeric) = -8.6588774805920501684056354639244 absolute error = 4e-31 relative error = 4.6195364340996545289188375030399e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (closed_form) = -8.6502229311074128819133758346073 y[1] (numeric) = -8.6502229311074128819133758346071 absolute error = 2e-31 relative error = 2.3120791405360432457394689653657e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (closed_form) = -8.641577031846427554768952133866 y[1] (numeric) = -8.6415770318464275547689521338657 absolute error = 3e-31 relative error = 3.4715885641523886544963480466842e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (closed_form) = -8.6329397741631942054954081187782 y[1] (numeric) = -8.6329397741631942054954081187786 absolute error = 4e-31 relative error = 4.6334158521194211891050708566160e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (closed_form) = -8.6243111494204544310878969206401 y[1] (numeric) = -8.62431114942045443108789692064 absolute error = 1e-31 relative error = 1.1595128963629739357425201602437e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (closed_form) = -8.6156911489895827697545582685544 y[1] (numeric) = -8.6156911489895827697545582685548 absolute error = 4e-31 relative error = 4.6426919568363422530425045302495e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (closed_form) = -8.6070797642505780722903376454335 y[1] (numeric) = -8.6070797642505780722903376454332 absolute error = 3e-31 relative error = 3.4855027281848493678498606429948e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (closed_form) = -8.5984769865920548820751187494825 y[1] (numeric) = -8.5984769865920548820751187494829 absolute error = 4e-31 relative error = 4.6519866323272809191167663481866e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (closed_form) = -8.5898828074112348236875492586136 y[1] (numeric) = -8.5898828074112348236875492586142 absolute error = 6e-31 relative error = 6.9849614185926740109203806218150e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (closed_form) = -8.5812972181139380001259485108656 y[1] (numeric) = -8.5812972181139380001259485108655 absolute error = 1e-31 relative error = 1.1653249789427378859962068948086e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (closed_form) = -8.5727202101145743986276943210408 y[1] (numeric) = -8.5727202101145743986276943210414 absolute error = 6e-31 relative error = 6.9989453206706369399703115454023e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (closed_form) = -8.5641517748361353050784947522316 y[1] (numeric) = -8.5641517748361353050784947522315 absolute error = 1e-31 relative error = 1.1676579611051250800105254045226e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (closed_form) = -8.5555919037101847270029592507684 y[1] (numeric) = -8.5555919037101847270029592507689 absolute error = 5e-31 relative error = 5.8441310154493453999220724174400e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.57 y[1] (closed_form) = -8.5470405881768508251278921344827 y[1] (numeric) = -8.547040588176850825127892134483 absolute error = 3e-31 relative error = 3.5099868417027407160426633264065e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.58 y[1] (closed_form) = -8.5384978196848173535097399968271 y[1] (numeric) = -8.538497819684817353509739996827 absolute error = 1e-31 relative error = 1.1711661947076694645953414790095e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (closed_form) = -8.5299635896913151082176331536128 y[1] (numeric) = -8.5299635896913151082176331536131 absolute error = 3e-31 relative error = 3.5170138400421529860962159695048e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (closed_form) = -8.5214378896621133845634698146862 y[1] (numeric) = -8.5214378896621133845634698146858 absolute error = 4e-31 relative error = 4.6940434839672409400744443475675e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (closed_form) = -8.5129207110715114428705002099045 y[1] (numeric) = -8.5129207110715114428705002099043 absolute error = 2e-31 relative error = 2.3493699376277431847824552117812e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.62 y[1] (closed_form) = -8.5044120454023299827718764373073 y[1] (numeric) = -8.5044120454023299827718764373074 absolute error = 1e-31 relative error = 1.1758602413209996540527673526102e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (closed_form) = -8.4959118841459026260306423312998 y[1] (numeric) = -8.4959118841459026260306423313001 absolute error = 3e-31 relative error = 3.5311100690654010752120125417241e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (closed_form) = -8.4874202188020674078726461701427 y[1] (numeric) = -8.4874202188020674078726461701425 absolute error = 2e-31 relative error = 2.3564286301854443418993526624281e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (closed_form) = -8.4789370408791582768238675549441 y[1] (numeric) = -8.4789370408791582768238675549439 absolute error = 2e-31 relative error = 2.3587862374227811881607666186220e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop memory used=764.1MB, alloc=52.3MB, time=8.53 x[1] = 1.66 y[1] (closed_form) = -8.4704623418939966030436582967809 y[1] (numeric) = -8.4704623418939966030436582967811 absolute error = 2e-31 relative error = 2.3611462034465520227297061514583e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (closed_form) = -8.4619961133718826951454056444742 y[1] (numeric) = -8.4619961133718826951454056444745 absolute error = 3e-31 relative error = 3.5452627959250845990612715493605e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.68 y[1] (closed_form) = -8.4535383468465873254961346729775 y[1] (numeric) = -8.4535383468465873254961346729772 absolute error = 3e-31 relative error = 3.5488098319434325276887579755749e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (closed_form) = -8.4450890338603432639865751312742 y[1] (numeric) = -8.4450890338603432639865751312746 absolute error = 4e-31 relative error = 4.7364805556958775118817224646974e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (closed_form) = -8.4366481659638368202632265191543 y[1] (numeric) = -8.4366481659638368202632265191542 absolute error = 1e-31 relative error = 1.1853048513203655140288527643692e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (closed_form) = -8.4282157347161993944139636242078 y[1] (numeric) = -8.4282157347161993944139636242083 absolute error = 5e-31 relative error = 5.9324537451085587293017907603895e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (closed_form) = -8.419791731684999036098733203968 y[1] (numeric) = -8.4197917316849990360987332039677 absolute error = 3e-31 relative error = 3.5630334996417176209079710514551e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (closed_form) = -8.4113761484462320121169009431638 y[1] (numeric) = -8.4113761484462320121169009431635 absolute error = 3e-31 relative error = 3.5665983152520965654206893465698e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (closed_form) = -8.4029689765843143824028162527572 y[1] (numeric) = -8.4029689765843143824028162527575 absolute error = 3e-31 relative error = 3.5701666974610879785661512881405e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.75 y[1] (closed_form) = -8.3945702076920735844411709056066 y[1] (numeric) = -8.394570207692073584441170905607 absolute error = 4e-31 relative error = 4.7649848664494324889346186885591e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (closed_form) = -8.3861798333707400260937359234191 y[1] (numeric) = -8.3861798333707400260937359234194 absolute error = 3e-31 relative error = 3.5773141759520084034742235871751e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (closed_form) = -8.3777978452299386868290695410338 y[1] (numeric) = -8.3777978452299386868290695410341 absolute error = 3e-31 relative error = 3.5808932793814165017804862835210e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (closed_form) = -8.3694242348876807273467974770388 y[1] (numeric) = -8.369424234887680727346797477039 absolute error = 2e-31 relative error = 2.3896506424696015928576529806768e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (closed_form) = -8.3610589939703551075880751343025 y[1] (numeric) = -8.3610589939703551075880751343029 absolute error = 4e-31 relative error = 4.7840829766715342500468366973907e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (closed_form) = -8.352702114112720213123849740188 y[1] (numeric) = -8.3527021141127202131238497401878 absolute error = 2e-31 relative error = 2.3944347262436203297536479472009e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (closed_form) = -8.3443535869578954899125488140048 y[1] (numeric) = -8.3443535869578954899125488140048 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.82 y[1] (closed_form) = -8.3360134041573530874188297187058 y[1] (numeric) = -8.3360134041573530874188297187058 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.83 y[1] (closed_form) = -8.327681557370909510085033414863 y[1] (numeric) = -8.3276815573709095100850334148633 absolute error = 3e-31 relative error = 3.6024432242424924352312225380236e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (closed_form) = -8.3193580382667172771469938876967 y[1] (numeric) = -8.3193580382667172771469938876969 absolute error = 2e-31 relative error = 2.4040316461926029231863074640959e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (closed_form) = -8.3110428385212565907858630622614 y[1] (numeric) = -8.311042838521256590785863062261 absolute error = 4e-31 relative error = 4.8128737605107815029305006770601e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (closed_form) = -8.302735949819327012607619357923 y[1] (numeric) = -8.3027359498193270126076193579233 absolute error = 3e-31 relative error = 3.6132667811328890573224757616798e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.87 y[1] (closed_form) = -8.2944373638540391484419363609507 y[1] (numeric) = -8.2944373638540391484419363609506 absolute error = 1e-31 relative error = 1.2056272850499247419704215326034e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (closed_form) = -8.2861470723268063414520964133766 y[1] (numeric) = -8.2861470723268063414520964133766 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (closed_form) = -8.2778650669473363735476422273729 y[1] (numeric) = -8.2778650669473363735476422273727 absolute error = 2e-31 relative error = 2.4160819049658036223365055309824e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.9 y[1] (closed_form) = -8.2695913394336231750914679370837 y[1] (numeric) = -8.2695913394336231750914679370832 absolute error = 5e-31 relative error = 6.0462479882862572914292485177711e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.91 y[1] (closed_form) = -8.2613258815119385428930592943241 y[1] (numeric) = -8.2613258815119385428930592943237 absolute error = 4e-31 relative error = 4.8418378083251981338322749005681e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (closed_form) = -8.2530686849168238664796010006939 y[1] (numeric) = -8.2530686849168238664796010006939 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.93 y[1] (closed_form) = -8.2448197413910818626366774465216 y[1] (numeric) = -8.2448197413910818626366774465215 absolute error = 1e-31 relative error = 1.2128827935191195270973197232978e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (closed_form) = -8.2365790426857683182103013966503 y[1] (numeric) = -8.2365790426857683182103013966501 absolute error = 2e-31 relative error = 2.4281925659124661706589437779074e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.95 y[1] (closed_form) = -8.2283465805601838411620134244118 y[1] (numeric) = -8.2283465805601838411620134244115 absolute error = 3e-31 relative error = 3.6459329594691923234649846797209e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (closed_form) = -8.2201223467818656198688031481938 y[1] (numeric) = -8.220122346781865619868803148194 absolute error = 2e-31 relative error = 2.4330538106686324585937514546629e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.97 y[1] (closed_form) = -8.2119063331265791906596115698412 y[1] (numeric) = -8.2119063331265791906596115698411 absolute error = 1e-31 relative error = 1.2177440407059083956671429594480e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.98 y[1] (closed_form) = -8.2036985313783102135801820506984 y[1] (numeric) = -8.2036985313783102135801820506984 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.99 y[1] (closed_form) = -8.1954989333292562563780356894721 y[1] (numeric) = -8.1954989333292562563780356894719 absolute error = 2e-31 relative error = 2.4403639317997449988339388340213e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2 y[1] (closed_form) = -8.1873075307798185866993550861907 y[1] (numeric) = -8.1873075307798185866993550861904 absolute error = 3e-31 relative error = 3.6642082744805095017632159839189e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (closed_form) = -8.1791243155385939724895686884709 y[1] (numeric) = -8.1791243155385939724895686884712 absolute error = 3e-31 relative error = 3.6678743154699813364847438789804e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (closed_form) = -8.1709492794223664905894361199897 y[1] (numeric) = -8.1709492794223664905894361199894 absolute error = 3e-31 relative error = 3.6715440243340742973907526305105e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (closed_form) = -8.1627824142560993435184430865547 y[1] (numeric) = -8.162782414256099343518443086555 absolute error = 3e-31 relative error = 3.6752174047424975543832853459015e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (closed_form) = -8.1546237118729266844373226425088 y[1] (numeric) = -8.154623711872926684437322642509 absolute error = 2e-31 relative error = 2.4525963069124212146670955045277e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (closed_form) = -8.1464731641141454502815277792803 y[1] (numeric) = -8.1464731641141454502815277792802 absolute error = 1e-31 relative error = 1.2275250649631776775994687908126e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=809.1MB, alloc=52.3MB, time=9.03 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (closed_form) = -8.1383307628292072030574884688931 y[1] (numeric) = -8.1383307628292072030574884688934 absolute error = 3e-31 relative error = 3.6862596119859360144056724566342e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (closed_form) = -8.1301964998757099792934944580071 y[1] (numeric) = -8.1301964998757099792934944580068 absolute error = 3e-31 relative error = 3.6899477153422581702601913847199e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (closed_form) = -8.1220703671193901476370532626827 y[1] (numeric) = -8.1220703671193901476370532626826 absolute error = 1e-31 relative error = 1.2312131695488677213420252053754e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (closed_form) = -8.1139523564341142745905809605687 y[1] (numeric) = -8.1139523564341142745905809605688 absolute error = 1e-31 relative error = 1.2324449985302548692325904001559e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (closed_form) = -8.105842459701870998377291515507 y[1] (numeric) = -8.1058424597018709983772915155069 absolute error = 1e-31 relative error = 1.2336780599567432511313258071563e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (closed_form) = -8.0977406688127629109291584997768 y[1] (numeric) = -8.0977406688127629109291584997766 absolute error = 2e-31 relative error = 2.4698247101227887925634712486289e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (closed_form) = -8.0896469756649984479888312012624 y[1] (numeric) = -8.0896469756649984479888312012624 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (closed_form) = -8.081561372164883787317395216784 y[1] (numeric) = -8.0815613721648837873173952167838 absolute error = 2e-31 relative error = 2.4747693024872014378695089823837e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.14 y[1] (closed_form) = -8.0734838502268147549998757386726 y[1] (numeric) = -8.0734838502268147549998757386728 absolute error = 2e-31 relative error = 2.4772453095869045693367498238927e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (closed_form) = -8.0654144017732687398403898394297 y[1] (numeric) = -8.0654144017732687398403898394294 absolute error = 3e-31 relative error = 3.7195856908981855872368602219389e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.16 y[1] (closed_form) = -8.0573530187347966158388621489312 y[1] (numeric) = -8.0573530187347966158388621489314 absolute error = 2e-31 relative error = 2.4822047580013434560925044286829e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (closed_form) = -8.0492996930500146727412264002426 y[1] (numeric) = -8.049299693050014672741226400243 absolute error = 4e-31 relative error = 4.9693764085510560782145731877440e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (closed_form) = -8.0412544166655965546550433935503 y[1] (numeric) = -8.0412544166655965546550433935504 absolute error = 1e-31 relative error = 1.2435870676190619775036830360763e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (closed_form) = -8.0332171815362652067224739931706 y[1] (numeric) = -8.0332171815362652067224739931704 absolute error = 2e-31 relative error = 2.4896625533750623735495792186278e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.2 y[1] (closed_form) = -8.0251879796247848298425538299341 y[1] (numeric) = -8.0251879796247848298425538299343 absolute error = 2e-31 relative error = 2.4921534611747616390405295659854e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (closed_form) = -8.0171668029019528434347244305513 y[1] (numeric) = -8.0171668029019528434347244305515 absolute error = 2e-31 relative error = 2.4946468611281297587551394993026e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.22 y[1] (closed_form) = -8.0091536433465918562355835368135 y[1] (numeric) = -8.0091536433465918562355835368137 absolute error = 2e-31 relative error = 2.4971427557285668938448651066438e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (closed_form) = -8.0011484929455416451208254107206 y[1] (numeric) = -8.0011484929455416451208254107206 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.24 y[1] (closed_form) = -7.9931513436936511419443499468006 y[1] (numeric) = -7.9931513436936511419443499468006 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (closed_form) = -7.9851621875937704283865274300654 y[1] (numeric) = -7.9851621875937704283865274300658 absolute error = 4e-31 relative error = 5.0092908647674573798001566360315e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.26 y[1] (closed_form) = -7.9771810166567427388036137872001 y[1] (numeric) = -7.9771810166567427388036137872003 absolute error = 2e-31 relative error = 2.5071513305563738969534852244766e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.27 y[1] (closed_form) = -7.9692078229013964710703191797294 y[1] (numeric) = -7.9692078229013964710703191797299 absolute error = 5e-31 relative error = 6.2741493397013964741632493957252e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.28 y[1] (closed_form) = -7.9612425983545372054075407810765 y[1] (numeric) = -7.9612425983545372054075407810768 absolute error = 3e-31 relative error = 3.7682559762970324518809979216814e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (closed_form) = -7.9532853350509397311872785645658 y[1] (numeric) = -7.9532853350509397311872785645663 absolute error = 5e-31 relative error = 6.2867101950491955627305392514373e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.3 y[1] (closed_form) = -7.945336025033340081706760906637 y[1] (numeric) = -7.9453360250333400817067609066373 absolute error = 3e-31 relative error = 3.7758000297884335884332171286570e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (closed_form) = -7.9373946603524275769238147787169 y[1] (numeric) = -7.9373946603524275769238147787173 absolute error = 4e-31 relative error = 5.0394369577969257035662264569840e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (closed_form) = -7.9294612330668368741455232624714 y[1] (numeric) = -7.9294612330668368741455232624716 absolute error = 2e-31 relative error = 2.5222394576566588529538409110187e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.33 y[1] (closed_form) = -7.9215357352431400266622210764181 y[1] (numeric) = -7.9215357352431400266622210764183 absolute error = 2e-31 relative error = 2.5247629586545226974118991564649e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (closed_form) = -7.9136181589558385503188867472453 y[1] (numeric) = -7.9136181589558385503188867472458 absolute error = 5e-31 relative error = 6.3182224610388889832822231365027e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (closed_form) = -7.9057084962873554980159979965614 y[1] (numeric) = -7.9057084962873554980159979965622 absolute error = 8e-31 relative error = 1.0119270149863134048767443503588e-29 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (closed_form) = -7.8978067393280275421319248432719 y[1] (numeric) = -7.8978067393280275421319248432721 absolute error = 2e-31 relative error = 2.5323486203337597149894941087423e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (closed_form) = -7.8899128801760970648589428433136 y[1] (numeric) = -7.8899128801760970648589428433142 absolute error = 6e-31 relative error = 7.6046467066517018418167133387214e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.38 y[1] (closed_form) = -7.8820269109377042564449568021128 y[1] (numeric) = -7.882026910937704256444956802113 absolute error = 2e-31 relative error = 2.5374183856498216369822659429185e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (closed_form) = -7.8741488237268792213330332008112 y[1] (numeric) = -7.8741488237268792213330332008113 absolute error = 1e-31 relative error = 1.2699785365838365473598918124314e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (closed_form) = -7.8662786106655340921908474751564 y[1] (numeric) = -7.8662786106655340921908474751567 absolute error = 3e-31 relative error = 3.8137474509642140748403231536833e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.41 y[1] (closed_form) = -7.8584162638834551518221601758324 y[1] (numeric) = -7.8584162638834551518221601758326 absolute error = 2e-31 relative error = 2.5450420706164581894088132031180e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.42 y[1] (closed_form) = -7.8505617755182949629524439210539 y[1] (numeric) = -7.8505617755182949629524439210541 absolute error = 2e-31 relative error = 2.5475883856323896988952213122097e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (closed_form) = -7.8427151377155645058807909263986 y[1] (numeric) = -7.842715137715564505880790926399 absolute error = 4e-31 relative error = 5.1002744964738382796210819670571e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (closed_form) = -7.8348763426286253239902387631262 y[1] (numeric) = -7.8348763426286253239902387631263 absolute error = 1e-31 relative error = 1.2763443304894546645447186283441e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.45 y[1] (closed_form) = -7.8270453824186816771086598546541 y[1] (numeric) = -7.8270453824186816771086598546542 absolute error = 1e-31 relative error = 1.2776213132048866106699174985126e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=854.3MB, alloc=52.3MB, time=9.53 TOP MAIN SOLVE Loop x[1] = 2.46 y[1] (closed_form) = -7.8192222492547727027123680714326 y[1] (numeric) = -7.8192222492547727027123680714322 absolute error = 4e-31 relative error = 5.1155982941669529205121722425535e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (closed_form) = -7.8114069353137645849646036271616 y[1] (numeric) = -7.8114069353137645849646036271616 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.48 y[1] (closed_form) = -7.8035994327803427315810653141958 y[1] (numeric) = -7.8035994327803427315810653141956 absolute error = 2e-31 relative error = 2.5629198643880423246460738596741e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.49 y[1] (closed_form) = -7.7957997338470039585146669430005 y[1] (numeric) = -7.7957997338470039585146669430007 absolute error = 2e-31 relative error = 2.5654840661396226814121311351779e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (closed_form) = -7.7880078307140486824517026697828 y[1] (numeric) = -7.7880078307140486824517026697833 absolute error = 5e-31 relative error = 6.4201270834387074203671028403125e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (closed_form) = -7.7802237155895731211116137077968 y[1] (numeric) = -7.7802237155895731211116137077971 absolute error = 3e-31 relative error = 3.8559302529935859519116510732375e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (closed_form) = -7.772447380689461501342556721447 y[1] (numeric) = -7.7724473806894615013425567214472 absolute error = 2e-31 relative error = 2.5731920745696811818138573802190e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.53 y[1] (closed_form) = -7.764678818237378275004981998111 y[1] (numeric) = -7.7646788182373782750049819981111 absolute error = 1e-31 relative error = 1.2878832768346303656905788773963e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.54 y[1] (closed_form) = -7.7569180204647603426354372806045 y[1] (numeric) = -7.7569180204647603426354372806046 absolute error = 1e-31 relative error = 1.2891718042678042987145750947365e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (closed_form) = -7.7491649796108092848828209234498 y[1] (numeric) = -7.74916497961080928488282092345 absolute error = 2e-31 relative error = 2.5809232417457798610602800863937e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (closed_form) = -7.7414196879224836017093158085508 y[1] (numeric) = -7.7414196879224836017093158085512 absolute error = 4e-31 relative error = 5.1670109117588158948305048465428e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.57 y[1] (closed_form) = -7.733682137654490959348243220563 y[1] (numeric) = -7.7336821376544909593482432205632 absolute error = 2e-31 relative error = 2.5860902535187072053066718635693e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (closed_form) = -7.725952321069280445011083639164 y[1] (numeric) = -7.7259523210692804450110836391643 absolute error = 3e-31 relative error = 3.8830164558727132341504101304583e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (closed_form) = -7.7182302304370348293359191546052 y[1] (numeric) = -7.7182302304370348293359191546057 absolute error = 5e-31 relative error = 6.4781690241402418629491480540389e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (closed_form) = -7.7105158580356628365695599543354 y[1] (numeric) = -7.7105158580356628365695599543361 absolute error = 7e-31 relative error = 9.0785106066604025859899416172524e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (closed_form) = -7.7028091961507914224756250621841 y[1] (numeric) = -7.7028091961507914224756250621842 absolute error = 1e-31 relative error = 1.2982276654336899666899192954013e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.62 y[1] (closed_form) = -7.695110237075758059960855237536 y[1] (numeric) = -7.6951102370757580599608552375362 absolute error = 2e-31 relative error = 2.5990530848587635094272690427950e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (closed_form) = -7.6874189731116030324119436601776 y[1] (numeric) = -7.6874189731116030324119436601776 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (closed_form) = -7.6797353965670617347351777369888 y[1] (numeric) = -7.6797353965670617347351777369887 absolute error = 1e-31 relative error = 1.3021281963008941312433242755387e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (closed_form) = -7.6720594997585569820911930694934 y[1] (numeric) = -7.6720594997585569820911930694934 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (closed_form) = -7.6643912750101913263171483163751 y[1] (numeric) = -7.6643912750101913263171483163752 absolute error = 1e-31 relative error = 1.3047350586869278825094296688073e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (closed_form) = -7.6567307146537393800286373724933 y[1] (numeric) = -7.6567307146537393800286373724933 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (closed_form) = -7.6490778110286401483936629656731 y[1] (numeric) = -7.6490778110286401483936629656731 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (closed_form) = -7.6414325564819893685710034446049 y[1] (numeric) = -7.641432556481989368571003444605 absolute error = 1e-31 relative error = 1.3086551410464666456567775652942e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.7 y[1] (closed_form) = -7.6337949433685318568053121955788 y[1] (numeric) = -7.6337949433685318568053121955792 absolute error = 4e-31 relative error = 5.2398578029329894556599569065051e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.71 y[1] (closed_form) = -7.6261649640506538631712967825195 y[1] (numeric) = -7.6261649640506538631712967825194 absolute error = 1e-31 relative error = 1.3112750703845879791284313637670e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (closed_form) = -7.6185426108983754339593325538567 y[1] (numeric) = -7.6185426108983754339593325538568 absolute error = 1e-31 relative error = 1.3125870013111082518560271091536e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (closed_form) = -7.6109278762893427816948731012214 y[1] (numeric) = -7.6109278762893427816948731012211 absolute error = 3e-31 relative error = 3.9417007344742176538368901339709e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.74 y[1] (closed_form) = -7.603320752608820662784027588724 y[1] (numeric) = -7.6033207526088206627840275887242 absolute error = 2e-31 relative error = 2.6304296044774490009303387540523e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (closed_form) = -7.595721232249684762777682597778 y[1] (numeric) = -7.5957212322496847627776825977778 absolute error = 2e-31 relative error = 2.6330613497352432458927648855776e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (closed_form) = -7.588129307612414089246553750933 y[1] (numeric) = -7.5881293076124140892465537509329 absolute error = 1e-31 relative error = 1.3178478640273033239424477864536e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (closed_form) = -7.5805449711050833722595599891577 y[1] (numeric) = -7.5805449711050833722595599891577 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.78 y[1] (closed_form) = -7.5729682151433554724579209802973 y[1] (numeric) = -7.5729682151433554724579209802971 absolute error = 2e-31 relative error = 2.6409723944181907747053515697763e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (closed_form) = -7.5653990321504737967173857321755 y[1] (numeric) = -7.5653990321504737967173857321757 absolute error = 2e-31 relative error = 2.6436146877390783028400153225225e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (closed_form) = -7.5578374145572547213910080719428 y[1] (numeric) = -7.5578374145572547213910080719432 absolute error = 4e-31 relative error = 5.2925192493497477425686070921459e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (closed_form) = -7.550283354802080023124892233805 y[1] (numeric) = -7.5502833548020800231248922338053 absolute error = 3e-31 relative error = 3.9733608118057719543678050220906e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (closed_form) = -7.542736845330889317239339370255 y[1] (numeric) = -7.542736845330889317239339370255 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (closed_form) = -7.5351978785971725036678333673205 y[1] (numeric) = -7.5351978785971725036678333673206 absolute error = 1e-31 relative error = 1.3271051618171571642285069555925e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (closed_form) = -7.5276664470619622204463119021865 y[1] (numeric) = -7.527666447061962220446311902187 absolute error = 5e-31 relative error = 6.6421646537639736535848631624611e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=899.3MB, alloc=52.3MB, time=10.02 TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (closed_form) = -7.5201425431938263047451762318323 y[1] (numeric) = -7.5201425431938263047451762318322 absolute error = 1e-31 relative error = 1.3297620281214737527480885174656e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (closed_form) = -7.5126261594688602614365007440608 y[1] (numeric) = -7.512626159468860261436500744061 absolute error = 2e-31 relative error = 2.6621849105045834195179887803021e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.87 y[1] (closed_form) = -7.5051172883706797391889108375165 y[1] (numeric) = -7.5051172883706797391889108375167 absolute error = 2e-31 relative error = 2.6648484269513516868731570504968e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (closed_form) = -7.497615922390413014082605224924 y[1] (numeric) = -7.4976159223904130140826052249238 absolute error = 2e-31 relative error = 2.6675146082467689762896604966961e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (closed_form) = -7.4901220540266934807370062739547 y[1] (numeric) = -7.4901220540266934807370062739546 absolute error = 1e-31 relative error = 1.3350917285285084026832852797852e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (closed_form) = -7.4826356757856521509435295127475 y[1] (numeric) = -7.4826356757856521509435295127479 absolute error = 4e-31 relative error = 5.3457099521018884135115825003024e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.91 y[1] (closed_form) = -7.4751567801809101597959709322202 y[1] (numeric) = -7.4751567801809101597959709322205 absolute error = 3e-31 relative error = 4.0132937518501055955169713087429e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (closed_form) = -7.4676853597335712793110182149375 y[1] (numeric) = -7.4676853597335712793110182149376 absolute error = 1e-31 relative error = 1.3391030176392937240543289354761e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (closed_form) = -7.4602214069722144395313995104267 y[1] (numeric) = -7.4602214069722144395313995104269 absolute error = 2e-31 relative error = 2.6808855808633629616371623216966e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.94 y[1] (closed_form) = -7.452764914432886257104190859464 y[1] (numeric) = -7.452764914432886257104190859464 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.95 y[1] (closed_form) = -7.4453158746590935713268108450121 y[1] (numeric) = -7.4453158746590935713268108450121 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (closed_form) = -7.4378742802017959876532385151892 y[1] (numeric) = -7.4378742802017959876532385151898 absolute error = 6e-31 relative error = 8.0668209409923164096544300042816e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (closed_form) = -7.4304401236193984286529980838631 y[1] (numeric) = -7.4304401236193984286529980838633 absolute error = 2e-31 relative error = 2.6916305988961951879427544566542e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (closed_form) = -7.4230133974777436924154613672268 y[1] (numeric) = -7.4230133974777436924154613672271 absolute error = 3e-31 relative error = 4.0414853636386621571299074340479e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (closed_form) = -7.4155940943501050183920263600542 y[1] (numeric) = -7.4155940943501050183920263600544 absolute error = 2e-31 relative error = 2.6970192469458213076440243666452e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3 y[1] (closed_form) = -7.408182206817178660668737793178 y[1] (numeric) = -7.4081822068171786606687377931785 absolute error = 5e-31 relative error = 6.7492940378800155199187215666402e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.01 y[1] (closed_form) = -7.4007777274670764686619229442036 y[1] (numeric) = -7.400777727467076468661922944204 absolute error = 4e-31 relative error = 5.4048373661520624735451788074754e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.02 y[1] (closed_form) = -7.3933806488953184752294233964682 y[1] (numeric) = -7.3933806488953184752294233964683 absolute error = 1e-31 relative error = 1.3525612267094822715866783373549e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.03 y[1] (closed_form) = -7.3859909637048254921900108568645 y[1] (numeric) = -7.3859909637048254921900108568647 absolute error = 2e-31 relative error = 2.7078289288845766954172995952555e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.04 y[1] (closed_form) = -7.3786086645059117132435825513286 y[1] (numeric) = -7.3786086645059117132435825513286 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.05 y[1] (closed_form) = -7.3712337439162773242847391175626 y[1] (numeric) = -7.371233743916277324284739117563 absolute error = 4e-31 relative error = 5.4265000120248962628440588043941e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.06 y[1] (closed_form) = -7.3638661945610011211023553079674 y[1] (numeric) = -7.3638661945610011211023553079678 absolute error = 4e-31 relative error = 5.4319292261915699896213893489804e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.07 y[1] (closed_form) = -7.356506009072533134457761201727 y[1] (numeric) = -7.3565060090725331344577612017271 absolute error = 1e-31 relative error = 1.3593409680719806421881618762548e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.08 y[1] (closed_form) = -7.3491531800906872625341590036212 y[1] (numeric) = -7.3491531800906872625341590036211 absolute error = 1e-31 relative error = 1.3607009889371501373694005490143e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.09 y[1] (closed_form) = -7.341807700262633910749907878366 y[1] (numeric) = -7.3418077002626339107499078783663 absolute error = 3e-31 relative error = 4.0861871115102658843609032361678e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.1 y[1] (closed_form) = -7.3344695622428926389283166331541 y[1] (numeric) = -7.3344695622428926389283166331547 absolute error = 6e-31 relative error = 8.1805506847930667649669311232863e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.11 y[1] (closed_form) = -7.3271387586933248158165914175712 y[1] (numeric) = -7.3271387586933248158165914175718 absolute error = 6e-31 relative error = 8.1887353271169682668586105823729e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.12 y[1] (closed_form) = -7.31981528228312628094659295923 y[1] (numeric) = -7.3198152822831262809465929592304 absolute error = 4e-31 relative error = 5.4646187721179195202345976454565e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.13 y[1] (closed_form) = -7.3124991256888200138300651952636 y[1] (numeric) = -7.3124991256888200138300651952637 absolute error = 1e-31 relative error = 1.3675215310276052580156244485206e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.14 y[1] (closed_form) = -7.3051902815942488104810044942973 y[1] (numeric) = -7.3051902815942488104810044942975 absolute error = 2e-31 relative error = 2.7377794730947512474184836121207e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.15 y[1] (closed_form) = -7.2978887426905679672578459906589 y[1] (numeric) = -7.2978887426905679672578459906589 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.16 y[1] (closed_form) = -7.2905945016762379720181508723992 y[1] (numeric) = -7.2905945016762379720181508723997 absolute error = 5e-31 relative error = 6.8581512781302137171054186566224e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.17 y[1] (closed_form) = -7.2833075512570172025784857772109 y[1] (numeric) = -7.283307551257017202578485777211 absolute error = 1e-31 relative error = 1.3730025719254588044830255123704e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.18 y[1] (closed_form) = -7.2760278841459546324721927555006 y[1] (numeric) = -7.2760278841459546324721927555008 absolute error = 2e-31 relative error = 2.7487525224551224157771589215535e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.19 y[1] (closed_form) = -7.2687554930633825439977555577971 y[1] (numeric) = -7.2687554930633825439977555577973 absolute error = 2e-31 relative error = 2.7515026498120787404285226128698e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.2 y[1] (closed_form) = -7.2614903707369092485504752942355 y[1] (numeric) = -7.261490370736909248550475294236 absolute error = 5e-31 relative error = 6.8856388216797854226343853391410e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.21 y[1] (closed_form) = -7.2542325099014118142301757971993 y[1] (numeric) = -7.2542325099014118142301757971996 absolute error = 3e-31 relative error = 4.1355167426812616863422921224743e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.22 y[1] (closed_form) = -7.2469819032990288007176662942106 y[1] (numeric) = -7.2469819032990288007176662942109 absolute error = 3e-31 relative error = 4.1396543278717394267723503689427e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.23 y[1] (closed_form) = -7.2397385436791530014126962669346 y[1] (numeric) = -7.239738543679153001412696266935 absolute error = 4e-31 relative error = 5.5250614036225200135297649858471e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.24 y[1] (closed_form) = -7.2325024237984241928261446336412 y[1] (numeric) = -7.2325024237984241928261446336415 absolute error = 3e-31 relative error = 4.1479419213584386267615442094489e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=944.4MB, alloc=52.3MB, time=10.52 TOP MAIN SOLVE Loop x[1] = 3.25 y[1] (closed_form) = -7.2252735364207218912191926467109 y[1] (numeric) = -7.2252735364207218912191926467113 absolute error = 4e-31 relative error = 5.5361225839230056848702578293877e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.26 y[1] (closed_form) = -7.2180518743171581164822371437574 y[1] (numeric) = -7.2180518743171581164822371437575 absolute error = 1e-31 relative error = 1.3854153688727846168237116547012e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.27 y[1] (closed_form) = -7.2108374302660701632463080306704 y[1] (numeric) = -7.2108374302660701632463080306706 absolute error = 2e-31 relative error = 2.7736029543606042729981269011573e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.28 y[1] (closed_form) = -7.2036301970530133792197611074026 y[1] (numeric) = -7.2036301970530133792197611074027 absolute error = 1e-31 relative error = 1.3881889722894124032701689970918e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.29 y[1] (closed_form) = -7.1964301674707539507430245725817 y[1] (numeric) = -7.1964301674707539507430245725822 absolute error = 5e-31 relative error = 6.9478892779380532093594567267756e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.3 y[1] (closed_form) = -7.1892373343192616955541847611041 y[1] (numeric) = -7.1892373343192616955541847611043 absolute error = 2e-31 relative error = 2.7819362569275605324854956099063e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.31 y[1] (closed_form) = -7.1820516904057028627582038796821 y[1] (numeric) = -7.1820516904057028627582038796822 absolute error = 1e-31 relative error = 1.3923597923081942684084396227470e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.32 y[1] (closed_form) = -7.1748732285444329399925697089762 y[1] (numeric) = -7.1748732285444329399925697089766 absolute error = 4e-31 relative error = 5.5750113940500664350198394586472e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.33 y[1] (closed_form) = -7.167701941556989467782184437354 y[1] (numeric) = -7.1677019415569894677821844373542 absolute error = 2e-31 relative error = 2.7902945969396072153853395473597e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.34 y[1] (closed_form) = -7.1605378222720848610763069805652 y[1] (numeric) = -7.1605378222720848610763069805651 absolute error = 1e-31 relative error = 1.3965431435745053387127352682332e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.35 y[1] (closed_form) = -7.1533808635255992379603703236831 y[1] (numeric) = -7.1533808635255992379603703236829 absolute error = 2e-31 relative error = 2.7958807704449340456746332750921e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.36 y[1] (closed_form) = -7.1462310581605732555355025965275 y[1] (numeric) = -7.1462310581605732555355025965277 absolute error = 2e-31 relative error = 2.7986780496218608489298117684671e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.37 y[1] (closed_form) = -7.1390883990272009529585877614956 y[1] (numeric) = -7.1390883990272009529585877614957 absolute error = 1e-31 relative error = 1.4007390637385352486122075596116e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.38 y[1] (closed_form) = -7.1319528789828226016357089532603 y[1] (numeric) = -7.1319528789828226016357089532601 absolute error = 2e-31 relative error = 2.8042810068106410791079206674291e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.39 y[1] (closed_form) = -7.1248244908919175625618246631906 y[1] (numeric) = -7.1248244908919175625618246631901 absolute error = 5e-31 relative error = 7.0177167260636304043104896997864e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.4 y[1] (closed_form) = -7.1177032276260971507995351075701 y[1] (numeric) = -7.1177032276260971507995351075698 absolute error = 3e-31 relative error = 4.2148427716907813905369486011666e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.41 y[1] (closed_form) = -7.1105890820640975070898032577884 y[1] (numeric) = -7.110589082064097507089803257788 absolute error = 4e-31 relative error = 5.6254129634486766215711236195417e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.42 y[1] (closed_form) = -7.1034820470917724765875021426274 y[1] (numeric) = -7.1034820470917724765875021426269 absolute error = 5e-31 relative error = 7.0388014875705128610818969322120e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.43 y[1] (closed_form) = -7.096382115602086494714667157602 y[1] (numeric) = -7.0963821156020864947146671576019 absolute error = 1e-31 relative error = 1.4091687619264508165045867049339e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.44 y[1] (closed_form) = -7.0892892804951074801243392340142 y[1] (numeric) = -7.089289280495107480124339234014 absolute error = 2e-31 relative error = 2.8211572710153568359553708466440e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.45 y[1] (closed_form) = -7.0822035346779997347678918309641 y[1] (numeric) = -7.0822035346779997347678918309639 absolute error = 2e-31 relative error = 2.8239798393353181507054920666423e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.46 y[1] (closed_form) = -7.0751248710650168510587418170643 y[1] (numeric) = -7.0751248710650168510587418170645 absolute error = 2e-31 relative error = 2.8268052316353541324348863238948e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.47 y[1] (closed_form) = -7.0680532825774946261253514049708 y[1] (numeric) = -7.0680532825774946261253514049706 absolute error = 2e-31 relative error = 2.8296334507408573166289015324391e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.48 y[1] (closed_form) = -7.0609887621438439831464353911386 y[1] (numeric) = -7.060988762143843983146435391138 absolute error = 6e-31 relative error = 8.4973934984401411334269656031614e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.49 y[1] (closed_form) = -7.0539313026995438997612950354291 y[1] (numeric) = -7.053931302699543899761295035429 absolute error = 1e-31 relative error = 1.4176491903419861455428056531639e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.5 y[1] (closed_form) = -7.0468808971871343435482069903088 y[1] (numeric) = -7.0468808971871343435482069903086 absolute error = 2e-31 relative error = 2.8381350971865144965407913238797e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.51 y[1] (closed_form) = -7.0398375385562092145638027574326 y[1] (numeric) = -7.0398375385562092145638027574321 absolute error = 5e-31 relative error = 7.1024366295609759994411261679376e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.52 y[1] (closed_form) = -7.0328012197634092949363812104162 y[1] (numeric) = -7.0328012197634092949363812104159 absolute error = 3e-31 relative error = 4.2657255711557323129470795237755e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.53 y[1] (closed_form) = -7.0257719337724152055061037765149 y[1] (numeric) = -7.0257719337724152055061037765148 absolute error = 1e-31 relative error = 1.4233311434336018863681917253788e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.54 y[1] (closed_form) = -7.018749673553940369505028916816 y[1] (numeric) = -7.0187496735539403695050289168159 absolute error = 1e-31 relative error = 1.4247551864798883796218164755393e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.55 y[1] (closed_form) = -7.0117344320857239832699495843962 y[1] (numeric) = -7.0117344320857239832699495843957 absolute error = 5e-31 relative error = 7.1309032714074004118332591245715e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.56 y[1] (closed_form) = -7.0047262023525239939810043726942 y[1] (numeric) = -7.004726202352523993981004372694 absolute error = 2e-31 relative error = 2.8552150965276898299667758878948e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.57 y[1] (closed_form) = -6.9977249773461100844190400921284 y[1] (numeric) = -6.997724977346110084419040092128 absolute error = 4e-31 relative error = 5.7161434794155079149787731068201e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.58 y[1] (closed_form) = -6.9907307500652566647347105317268 y[1] (numeric) = -6.9907307500652566647347105317266 absolute error = 2e-31 relative error = 2.8609312409597959654188694427827e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.59 y[1] (closed_form) = -6.9837435135157358712223031742992 y[1] (numeric) = -6.9837435135157358712223031742992 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.6 y[1] (closed_form) = -6.9767632607103105720912926383814 y[1] (numeric) = -6.9767632607103105720912926383815 absolute error = 1e-31 relative error = 1.4333294145603402577756905512457e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.61 y[1] (closed_form) = -6.9697899846687273802286266179303 y[1] (numeric) = -6.9697899846687273802286266179299 absolute error = 4e-31 relative error = 5.7390538435142233918759786447037e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.62 y[1] (closed_form) = -6.9628236784177096729447570814674 y[1] (numeric) = -6.9628236784177096729447570814676 absolute error = 2e-31 relative error = 2.8723978839207037606877441477684e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.63 y[1] (closed_form) = -6.955864334990950618696436476132 y[1] (numeric) = -6.9558643349909506186964364761316 absolute error = 4e-31 relative error = 5.7505434369648382252791305387909e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=989.5MB, alloc=52.3MB, time=11.02 TOP MAIN SOLVE Loop x[1] = 3.64 y[1] (closed_form) = -6.9489119474291062107793056588372 y[1] (numeric) = -6.9489119474291062107793056588369 absolute error = 3e-31 relative error = 4.3172226424741388294925391473121e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.65 y[1] (closed_form) = -6.9419665087797883079833072465644 y[1] (numeric) = -6.9419665087797883079833072465642 absolute error = 2e-31 relative error = 2.8810280162984341551533944533143e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.66 y[1] (closed_form) = -6.9350280120975576822039650406047 y[1] (numeric) = -6.9350280120975576822039650406042 absolute error = 5e-31 relative error = 7.2097762132725803535548642176786e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.67 y[1] (closed_form) = -6.9280964504439170730025771354607 y[1] (numeric) = -6.9280964504439170730025771354604 absolute error = 3e-31 relative error = 4.3301937573455336439066374370828e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.68 y[1] (closed_form) = -6.9211718168873042491083772720228 y[1] (numeric) = -6.9211718168873042491083772720225 absolute error = 3e-31 relative error = 4.3345261169216372707058073608734e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.69 y[1] (closed_form) = -6.9142541045030850768557259365952 y[1] (numeric) = -6.9142541045030850768557259365951 absolute error = 1e-31 relative error = 1.4462876036747396765546772702613e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.7 y[1] (closed_form) = -6.9073433063735465955493996423942 y[1] (numeric) = -6.9073433063735465955493996423943 absolute error = 1e-31 relative error = 1.4477346146633244615847523355193e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.71 y[1] (closed_form) = -6.9004394155878900997510537582257 y[1] (numeric) = -6.9004394155878900997510537582254 absolute error = 3e-31 relative error = 4.3475492201599336634835972430415e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.72 y[1] (closed_form) = -6.8935424252422242284799411702265 y[1] (numeric) = -6.8935424252422242284799411702264 absolute error = 1e-31 relative error = 1.4506329812931587993090080500295e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.73 y[1] (closed_form) = -6.8866523284395580613209759768219 y[1] (numeric) = -6.8866523284395580613209759768218 absolute error = 1e-31 relative error = 1.4520843398327752233680869607509e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.74 y[1] (closed_form) = -6.8797691182897942214332383243747 y[1] (numeric) = -6.8797691182897942214332383243745 absolute error = 2e-31 relative error = 2.9070743009137049744694844103545e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.75 y[1] (closed_form) = -6.872892787909721985452023391465 y[1] (numeric) = -6.872892787909721985452023391465 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.76 y[1] (closed_form) = -6.8660233304230104002775444232743 y[1] (numeric) = -6.8660233304230104002775444232739 absolute error = 4e-31 relative error = 5.8257885350843442094510975690399e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.77 y[1] (closed_form) = -6.8591607389602014067434066041967 y[1] (numeric) = -6.8591607389602014067434066041967 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.78 y[1] (closed_form) = -6.8523050066587029701579754365917 y[1] (numeric) = -6.8523050066587029701579754365918 absolute error = 1e-31 relative error = 1.4593629428757966316056347652308e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.79 y[1] (closed_form) = -6.8454561266627822177117701664572 y[1] (numeric) = -6.8454561266627822177117701664571 absolute error = 1e-31 relative error = 1.4608230357434318422341938394742e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.8 y[1] (closed_form) = -6.8386140921235585827440196628576 y[1] (numeric) = -6.8386140921235585827440196628577 absolute error = 1e-31 relative error = 1.4622845894342245315516316090701e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.81 y[1] (closed_form) = -6.8317788961989969558615250170885 y[1] (numeric) = -6.8317788961989969558615250170883 absolute error = 2e-31 relative error = 2.9274952108194570242935647014365e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.82 y[1] (closed_form) = -6.8249505320539008429029799798631 y[1] (numeric) = -6.824950532053900842902979979863 absolute error = 1e-31 relative error = 1.4652120851329598814416286821681e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.83 y[1] (closed_form) = -6.818128992859905529741907200282 y[1] (numeric) = -6.8181289928599055297419072002821 absolute error = 1e-31 relative error = 1.4666780300683984847075209022126e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.84 y[1] (closed_form) = -6.8113142717954712539213750689434 y[1] (numeric) = -6.8113142717954712539213750689432 absolute error = 2e-31 relative error = 2.9362908833639787590902886040602e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.85 y[1] (closed_form) = -6.8045063620458763831136667993435 y[1] (numeric) = -6.8045063620458763831136667993434 absolute error = 1e-31 relative error = 1.4696143214411443018296989279622e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.86 y[1] (closed_form) = -6.7977052568032106003980802066743 y[1] (numeric) = -6.7977052568032106003980802066744 absolute error = 1e-31 relative error = 1.4710846708147431331227577410287e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.87 y[1] (closed_form) = -6.7909109492663680963500434612418 y[1] (numeric) = -6.7909109492663680963500434612417 absolute error = 1e-31 relative error = 1.4725564912731353695522705851613e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.88 y[1] (closed_form) = -6.7841234326410407679347389050563 y[1] (numeric) = -6.7841234326410407679347389050565 absolute error = 2e-31 relative error = 2.9480595685762831843243656885663e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.89 y[1] (closed_form) = -6.7773427001397114241984338246568 y[1] (numeric) = -6.7773427001397114241984338246569 absolute error = 1e-31 relative error = 1.4755045513330549387331391379721e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.9 y[1] (closed_form) = -6.7705687449816469987507238709241 y[1] (numeric) = -6.7705687449816469987507238709241 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.91 y[1] (closed_form) = -6.7638015603928917690309016075704 y[1] (numeric) = -6.7638015603928917690309016075704 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.92 y[1] (closed_form) = -6.7570411396062605823516694541023 y[1] (numeric) = -6.7570411396062605823516694541022 absolute error = 1e-31 relative error = 1.4799377114022884005473644506515e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.93 y[1] (closed_form) = -6.7502874758613320887134230664084 y[1] (numeric) = -6.7502874758613320887134230664084 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.94 y[1] (closed_form) = -6.7435405624044419803823379686904 y[1] (numeric) = -6.7435405624044419803823379686905 absolute error = 1e-31 relative error = 1.4829005486747530837175569884650e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.95 y[1] (closed_form) = -6.7368003924886762382254990142613 y[1] (numeric) = -6.7368003924886762382254990142613 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.96 y[1] (closed_form) = -6.7300669593738643847963190097753 y[1] (numeric) = -6.7300669593738643847963190097754 absolute error = 1e-31 relative error = 1.4858693175513896668952775169906e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.97 y[1] (closed_form) = -6.7233402563265727441634995877506 y[1] (numeric) = -6.7233402563265727441634995877504 absolute error = 2e-31 relative error = 2.9747118601026132842428882860618e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.98 y[1] (closed_form) = -6.716620276620097708476794155777 y[1] (numeric) = -6.716620276620097708476794155777 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.99 y[1] (closed_form) = -6.7099070135344590112628394876192 y[1] (numeric) = -6.7099070135344590112628394876195 absolute error = 3e-31 relative error = 4.4710008558222076964037286441385e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4 y[1] (closed_form) = -6.7032004603563930074443292514781 y[1] (numeric) = -6.7032004603563930074443292514783 absolute error = 2e-31 relative error = 2.9836493952825406356497059056745e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.01 y[1] (closed_form) = -6.6965006103793459600758094940284 y[1] (numeric) = -6.6965006103793459600758094940283 absolute error = 1e-31 relative error = 1.4933172684999600301810615792418e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.02 y[1] (closed_form) = -6.6898074569034673337893828154676 y[1] (numeric) = -6.6898074569034673337893828154676 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.03 y[1] (closed_form) = -6.6831209932356030949436146807242 y[1] (numeric) = -6.6831209932356030949436146807242 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1034.7MB, alloc=52.3MB, time=11.50 TOP MAIN SOLVE Loop x[1] = 4.04 y[1] (closed_form) = -6.6764412126892890184689420151658 y[1] (numeric) = -6.6764412126892890184689420151661 absolute error = 3e-31 relative error = 4.4934118408744165188085462876683e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.05 y[1] (closed_form) = -6.6697681085847440014028909296679 y[1] (numeric) = -6.6697681085847440014028909296679 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.06 y[1] (closed_form) = -6.6631016742488633831084171096935 y[1] (numeric) = -6.6631016742488633831084171096933 absolute error = 2e-31 relative error = 3.0016051049160397966989058218166e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.07 y[1] (closed_form) = -6.6564419030152122721686890861766 y[1] (numeric) = -6.6564419030152122721686890861766 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.08 y[1] (closed_form) = -6.6497887882240188799516412824327 y[1] (numeric) = -6.6497887882240188799516412824326 absolute error = 1e-31 relative error = 1.5038071611701118595124038453205e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.09 y[1] (closed_form) = -6.6431423232221678608376304010892 y[1] (numeric) = -6.6431423232221678608376304010892 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.1 y[1] (closed_form) = -6.6365025013631936591035353781475 y[1] (numeric) = -6.6365025013631936591035353781475 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.11 y[1] (closed_form) = -6.6298693160072738624566477877123 y[1] (numeric) = -6.6298693160072738624566477877124 absolute error = 1e-31 relative error = 1.5083253565580580817615202678458e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.12 y[1] (closed_form) = -6.6232427605212225622117062307316 y[1] (numeric) = -6.6232427605212225622117062307314 absolute error = 2e-31 relative error = 3.0196688726574896755199908704160e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.13 y[1] (closed_form) = -6.6166228282784837201044348842225 y[1] (numeric) = -6.6166228282784837201044348842223 absolute error = 2e-31 relative error = 3.0226900518679874840877261518450e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.14 y[1] (closed_form) = -6.610009512659124541734953023976 y[1] (numeric) = -6.610009512659124541734953023976 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.15 y[1] (closed_form) = -6.603402807049828856634428963591 y[1] (numeric) = -6.603402807049828856634428963591 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.16 y[1] (closed_form) = -6.5968027048438905049483584759422 y[1] (numeric) = -6.5968027048438905049483584759423 absolute error = 1e-31 relative error = 1.5158858688705688944119033475074e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.17 y[1] (closed_form) = -6.5902091994412067307298543798126 y[1] (numeric) = -6.5902091994412067307298543798126 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.18 y[1] (closed_form) = -6.5836222842482715818363405844236 y[1] (numeric) = -6.5836222842482715818363405844235 absolute error = 1e-31 relative error = 1.5189206744022399267828705008548e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.19 y[1] (closed_form) = -6.577041952678169316423050488012 y[1] (numeric) = -6.5770419526781693164230504880118 absolute error = 2e-31 relative error = 3.0408807095803922291690780881244e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.2 y[1] (closed_form) = -6.5704681981505678160267362233996 y[1] (numeric) = -6.5704681981505678160267362233996 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.21 y[1] (closed_form) = -6.5639010140917120052330018337181 y[1] (numeric) = -6.563901014091712005233001833718 absolute error = 1e-31 relative error = 1.5234842784087539260820090632429e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.22 y[1] (closed_form) = -6.5573403939344172779206800450698 y[1] (numeric) = -6.5573403939344172779206800450701 absolute error = 3e-31 relative error = 4.5750255740498382659877961155422e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.23 y[1] (closed_form) = -6.5507863311180629300766788799614 y[1] (numeric) = -6.5507863311180629300766788799615 absolute error = 1e-31 relative error = 1.5265342959664566852372367512021e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.24 y[1] (closed_form) = -6.5442388190885855991747309257982 y[1] (numeric) = -6.5442388190885855991747309257984 absolute error = 2e-31 relative error = 3.0561231875681142522615952246082e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.25 y[1] (closed_form) = -6.5376978512984727101114846366549 y[1] (numeric) = -6.537697851298472710111484636655 absolute error = 1e-31 relative error = 1.5295904196633786895518778912449e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.26 y[1] (closed_form) = -6.5311634212067559276933836038555 y[1] (numeric) = -6.5311634212067559276933836038555 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.27 y[1] (closed_form) = -6.5246355222790046156677862817054 y[1] (numeric) = -6.5246355222790046156677862817054 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.28 y[1] (closed_form) = -6.5181141479873193022917851989451 y[1] (numeric) = -6.518114147987319302291785198945 absolute error = 1e-31 relative error = 1.5341860809675796659461786146493e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.29 y[1] (closed_form) = -6.5115992918103251524321912242016 y[1] (numeric) = -6.5115992918103251524321912242016 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.3 y[1] (closed_form) = -6.5050909472331654461901549848789 y[1] (numeric) = -6.5050909472331654461901549848791 absolute error = 2e-31 relative error = 3.0745150470965628034017069318289e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.31 y[1] (closed_form) = -6.4985891077474950640439040635636 y[1] (numeric) = -6.4985891077474950640439040635637 absolute error = 1e-31 relative error = 1.5387955499568651097107313296613e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.32 y[1] (closed_form) = -6.4920937668514739785030811141404 y[1] (numeric) = -6.4920937668514739785030811141405 absolute error = 1e-31 relative error = 1.5403351151611270075524897417249e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.33 y[1] (closed_form) = -6.4856049180497607522681745514154 y[1] (numeric) = -6.4856049180497607522681745514154 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.34 y[1] (closed_form) = -6.4791225548535060428885399731329 y[1] (numeric) = -6.4791225548535060428885399731327 absolute error = 2e-31 relative error = 3.0868377362329740766790835404079e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.35 y[1] (closed_form) = -6.4726466707803461139125169718672 y[1] (numeric) = -6.4726466707803461139125169718674 absolute error = 2e-31 relative error = 3.0899261179026767672485753726428e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.36 y[1] (closed_form) = -6.4661772593543963525231524863686 y[1] (numeric) = -6.4661772593543963525231524863684 absolute error = 2e-31 relative error = 3.0930175894987548543465761381085e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.37 y[1] (closed_form) = -6.4597143141062447936530483275372 y[1] (numeric) = -6.4597143141062447936530483275369 absolute error = 3e-31 relative error = 4.6441682311690202875107217931022e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.38 y[1] (closed_form) = -6.4532578285729456505718569933461 y[1] (numeric) = -6.4532578285729456505718569933462 absolute error = 1e-31 relative error = 1.5496049074195088255180104807757e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.39 y[1] (closed_form) = -6.4468077962980128519399563596606 y[1] (numeric) = -6.4468077962980128519399563596606 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.4 y[1] (closed_form) = -6.4403642108314135853218403000896 y[1] (numeric) = -6.4403642108314135853218403000896 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.41 y[1] (closed_form) = -6.4339270657295618471527687477294 y[1] (numeric) = -6.4339270657295618471527687477295 absolute error = 1e-31 relative error = 1.5542607023423058792541950637345e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.42 y[1] (closed_form) = -6.4274963545553119991522271649048 y[1] (numeric) = -6.4274963545553119991522271649049 absolute error = 1e-31 relative error = 1.5558157404341075804937023185458e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop memory used=1079.8MB, alloc=52.3MB, time=12.00 x[1] = 4.43 y[1] (closed_form) = -6.4210720708779523311777518338332 y[1] (numeric) = -6.4210720708779523311777518338333 absolute error = 1e-31 relative error = 1.5573723343417793671568146198251e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.44 y[1] (closed_form) = -6.414654208273198630512683821501 y[1] (numeric) = -6.414654208273198630512683821501 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.45 y[1] (closed_form) = -6.4082427603231877575814209059684 y[1] (numeric) = -6.4082427603231877575814209059684 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.46 y[1] (closed_form) = -6.4018377206164712280857431788218 y[1] (numeric) = -6.4018377206164712280857431788219 absolute error = 1e-31 relative error = 1.5620514665337440346883404994018e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.47 y[1] (closed_form) = -6.3954390827480088015557944595625 y[1] (numeric) = -6.3954390827480088015557944595624 absolute error = 1e-31 relative error = 1.5636142992864180551810411428641e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.48 y[1] (closed_form) = -6.389046840319162076309308072378 y[1] (numeric) = -6.3890468403191620763093080723779 absolute error = 1e-31 relative error = 1.5651786956535216632877475420034e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.49 y[1] (closed_form) = -6.3826609869376880908126719439924 y[1] (numeric) = -6.3826609869376880908126719439924 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.5 y[1] (closed_form) = -6.3762815162177329314374343831221 y[1] (numeric) = -6.3762815162177329314374343831223 absolute error = 2e-31 relative error = 3.1366243709803376223591995493865e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.51 y[1] (closed_form) = -6.3699084217798253466058582975142 y[1] (numeric) = -6.3699084217798253466058582975144 absolute error = 2e-31 relative error = 3.1397625641864048974721105163273e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.52 y[1] (closed_form) = -6.3635416972508703673191379935867 y[1] (numeric) = -6.3635416972508703673191379935868 absolute error = 1e-31 relative error = 1.5714519485776490029394946926437e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.53 y[1] (closed_form) = -6.3571813362641429340618990863578 y[1] (numeric) = -6.357181336264142934061899086358 absolute error = 2e-31 relative error = 3.1460483730283501782507006968299e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.54 y[1] (closed_form) = -6.3508273324592815300766084236332 y[1] (numeric) = -6.3508273324592815300766084236333 absolute error = 1e-31 relative error = 1.5745979974750187748395408225012e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.55 y[1] (closed_form) = -6.3444796794822818210015272983274 y[1] (numeric) = -6.3444796794822818210015272983276 absolute error = 2e-31 relative error = 3.1523467660679823041533392088612e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.56 y[1] (closed_form) = -6.3381383709854903008658475863474 y[1] (numeric) = -6.3381383709854903008658475863475 absolute error = 1e-31 relative error = 1.5777503447664779110912482217678e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.57 y[1] (closed_form) = -6.3318034006275979444356568046405 y[1] (numeric) = -6.3318034006275979444356568046405 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.58 y[1] (closed_form) = -6.3254747620736338659043844348458 y[1] (numeric) = -6.325474762073633865904384434846 absolute error = 2e-31 relative error = 3.1618180061228395613228885202486e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.59 y[1] (closed_form) = -6.3191524489949589839213882024661 y[1] (numeric) = -6.3191524489949589839213882024665 absolute error = 4e-31 relative error = 6.3299628111301337975218584155195e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.6 y[1] (closed_form) = -6.3128364550692596929523453396173 y[1] (numeric) = -6.3128364550692596929523453396178 absolute error = 5e-31 relative error = 7.9203699249724088743128100673684e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.61 y[1] (closed_form) = -6.3065267739805415409651201912215 y[1] (numeric) = -6.3065267739805415409651201912216 absolute error = 1e-31 relative error = 1.5856588512805471009962506980364e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.62 y[1] (closed_form) = -6.3002233994191229134347858499812 y[1] (numeric) = -6.3002233994191229134347858499812 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.63 y[1] (closed_form) = -6.2939263250816287236614838246356 y[1] (numeric) = -6.2939263250816287236614838246359 absolute error = 3e-31 relative error = 4.7665000272482402606521293010807e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.64 y[1] (closed_form) = -6.2876355446709841093948120588277 y[1] (numeric) = -6.2876355446709841093948120588278 absolute error = 1e-31 relative error = 1.5904229704400391467120694850268e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.65 y[1] (closed_form) = -6.2813510518964081357584379244434 y[1] (numeric) = -6.2813510518964081357584379244434 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.66 y[1] (closed_form) = -6.2750728404734075044686391135194 y[1] (numeric) = -6.2750728404734075044686391135196 absolute error = 2e-31 relative error = 3.1872139986969695438100054393878e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.67 y[1] (closed_form) = -6.2688009041237702693404816467282 y[1] (numeric) = -6.2688009041237702693404816467284 absolute error = 2e-31 relative error = 3.1904028068340010221025719552428e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.68 y[1] (closed_form) = -6.2625352365755595580753505040967 y[1] (numeric) = -6.262535236575559558075350504097 absolute error = 3e-31 relative error = 4.7903922080611578019583884558982e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.69 y[1] (closed_form) = -6.2562758315631073003235546649693 y[1] (numeric) = -6.2562758315631073003235546649693 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (closed_form) = -6.2500226828270079620157346192916 y[1] (numeric) = -6.2500226828270079620157346192915 absolute error = 1e-31 relative error = 1.5999941932173602410984500463114e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.71 y[1] (closed_form) = -6.2437757841141122859568066811075 y[1] (numeric) = -6.2437757841141122859568066811075 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.72 y[1] (closed_form) = -6.2375351291775210386761846976861 y[1] (numeric) = -6.2375351291775210386761846976863 absolute error = 2e-31 relative error = 3.2063947674531481537209364944470e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.73 y[1] (closed_form) = -6.2313007117765787635280260039825 y[1] (numeric) = -6.2313007117765787635280260039823 absolute error = 2e-31 relative error = 3.2096027659525177828639798893138e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.74 y[1] (closed_form) = -6.2250725256768675400352547221541 y[1] (numeric) = -6.2250725256768675400352547221542 absolute error = 1e-31 relative error = 1.6064069870274604157154422106871e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.75 y[1] (closed_form) = -6.218850564650200749471121749645 y[1] (numeric) = -6.2188505646502007494711217496448 absolute error = 2e-31 relative error = 3.2160283949715656694253827778084e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.76 y[1] (closed_form) = -6.2126348224746168466720670168633 y[1] (numeric) = -6.2126348224746168466720670168633 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.77 y[1] (closed_form) = -6.2064252929343731380756558268122 y[1] (numeric) = -6.2064252929343731380756558268122 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.78 y[1] (closed_form) = -6.2002219698199395659773673140776 y[1] (numeric) = -6.2002219698199395659773673140777 absolute error = 1e-31 relative error = 1.6128454833836230636996852521732e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.79 y[1] (closed_form) = -6.1940248469279924990000192794537 y[1] (numeric) = -6.1940248469279924990000192794537 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (closed_form) = -6.187833918061408528769619869106 y[1] (numeric) = -6.1878339180614085287696198691059 absolute error = 1e-31 relative error = 1.6160744021928933821424991056879e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.81 y[1] (closed_form) = -6.1816491770292582727914427736123 y[1] (numeric) = -6.1816491770292582727914427736125 absolute error = 2e-31 relative error = 3.2353825698034009111462089940719e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.82 y[1] (closed_form) = -6.1754706176468001835201288224383 y[1] (numeric) = -6.1754706176468001835201288224385 absolute error = 2e-31 relative error = 3.2386195706038544766314683803516e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 memory used=1124.9MB, alloc=52.3MB, time=12.50 TOP MAIN SOLVE Loop x[1] = 4.83 y[1] (closed_form) = -6.1692982337354743636176230434306 y[1] (numeric) = -6.1692982337354743636176230434306 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.84 y[1] (closed_form) = -6.1631320191228963873927624447536 y[1] (numeric) = -6.1631320191228963873927624447536 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.85 y[1] (closed_form) = -6.1569719676428511284163359583411 y[1] (numeric) = -6.1569719676428511284163359583412 absolute error = 1e-31 relative error = 1.6241750088442293638298897127901e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.86 y[1] (closed_form) = -6.1508180731352865933054441594075 y[1] (numeric) = -6.1508180731352865933054441594077 absolute error = 2e-31 relative error = 3.2515999924226830752230455645309e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.87 y[1] (closed_form) = -6.144670329446307761670992545865 y[1] (numeric) = -6.1446703294463077616709925458649 absolute error = 1e-31 relative error = 1.6274266093785854060722271862395e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.88 y[1] (closed_form) = -6.1385287304281704322221583246259 y[1] (numeric) = -6.1385287304281704322221583246259 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.89 y[1] (closed_form) = -6.1323932699392750750216768087478 y[1] (numeric) = -6.132393269939275075021676808748 absolute error = 2e-31 relative error = 3.2613694392430977301826947385001e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.9 y[1] (closed_form) = -6.1262639418441606898857996801905 y[1] (numeric) = -6.1262639418441606898857996801905 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.91 y[1] (closed_form) = -6.1201407400134986709227835176326 y[1] (numeric) = -6.1201407400134986709227835176325 absolute error = 1e-31 relative error = 1.6339493526055650568886561758877e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.92 y[1] (closed_form) = -6.1140236583240866772037731273286 y[1] (numeric) = -6.1140236583240866772037731273287 absolute error = 1e-31 relative error = 1.6355841192052399116705403211345e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.93 y[1] (closed_form) = -6.1079126906588425095599503473752 y[1] (numeric) = -6.1079126906588425095599503473753 absolute error = 1e-31 relative error = 1.6372205213891702703734798628821e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.94 y[1] (closed_form) = -6.1018078309067979934998251220251 y[1] (numeric) = -6.1018078309067979934998251220251 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.95 y[1] (closed_form) = -6.0957090729630928682405517628324 y[1] (numeric) = -6.0957090729630928682405517628324 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.96 y[1] (closed_form) = -6.0896164107289686818471594274352 y[1] (numeric) = -6.0896164107289686818471594274355 absolute error = 3e-31 relative error = 4.9264186734561159449751718311428e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.97 y[1] (closed_form) = -6.0835298381117626924735919546979 y[1] (numeric) = -6.0835298381117626924735919546979 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.98 y[1] (closed_form) = -6.0774493490249017756994582967395 y[1] (numeric) = -6.0774493490249017756994582967397 absolute error = 2e-31 relative error = 3.2908542468081459424247640529837e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (closed_form) = -6.0713749373878963379564008841029 y[1] (numeric) = -6.0713749373878963379564008841033 absolute error = 4e-31 relative error = 6.5882934940613806931936493997979e-30 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 32 h = 0.005 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = exp ( 0.1 * x ) / exp ( 0.2 * x ) ; Iterations = 2000 Total Elapsed Time = 12 Seconds Elapsed Time(since restart) = 12 Seconds Time to Timeout = 2 Minutes 47 Seconds Percent Done = 100 % > quit memory used=1144.6MB, alloc=52.3MB, time=12.70