(%i1) batch("temp/diffeq.sing1_back.max") read and interpret file: /home/dennis/src/mine/omni/testtar/omnisode0060dir/temp/diffeq.sing1_back.max (%i2) load("stringproc") (%i3) keepfloat:true (%i4) alias(convfloat,float) (%i5) alias(int_trunc,truncate) (%i6) alias(elapsed_time_seconds,elapsed_real_time) (%i7) alias(ln,log) (%i8) alias(arcsin,asin) (%i9) alias(arccos,acos) (%i10) alias(arctan,atan) (%i11) alias(float_abs,abs) (%i12) mode_declare(display_poles(),fixnum) (%i13) mode_declare(est_size_answer(),convfloat) (%i14) mode_declare(test_suggested_h(),convfloat) (%i15) mode_declare(reached_interval(),boolean) (%i16) mode_declare(display_alot([iter],fixnum),fixnum) (%i17) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum) (%i18) mode_declare(check_for_pole(),fixnum) (%i19) mode_declare(atomall(),fixnum) (%i20) mode_declare(log10([x],convfloat),convfloat) (%i21) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum) (%i22) mode_declare(omniout_timestr(secs_in,number),fixnum) (%i23) mode_declare(zero_ats_ar(ar,array([20],convfloat)),fixnum) (%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a], completearray([20],convfloat),[arr_b], completearray([20],convfloat),[jjj_ats],fixnum), convfloat) (%i25) mode_declare(att([mmm_att],fixnum,[arr_a], completearray([20],convfloat),[arr_b], completearray([20],convfloat),[jjj_att],fixnum), convfloat) (%i26) mode_declare(logitem_ditto([file],fixnum),fixnum) (%i27) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum) (%i28) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum) (%i29) mode_declare(logitem_number([file],fixnum,[x],number),fixnum) (%i30) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum) (%i31) mode_declare(logstart([file],fixnum),fixnum) (%i32) mode_declare(logend([file],fixnum),fixnum) (%i33) mode_declare(chk_data(),fixnum) (%i34) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat, [t2],convfloat,[clock_sec2],convfloat), convfloat) (%i35) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2], convfloat),convfloat) (%i36) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i37) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i38) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i39) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i40) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i41) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i42) mode_declare(neg([nnn],convfloat),convfloat) (%i43) mode_declare(factorial_2([nnn],fixnum),convfloat) (%i44) mode_declare(factorial_1([nnn],fixnum),convfloat) (%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),convfloat) (%i46) mode_declare(convfloat([mmm],fixnum),convfloat) (%i47) mode_declare(elaped_time_seconds(),convfloat) (%i48) mode_declare(Si([x],convfloat),convfloat) (%i49) mode_declare(Ci([x],convfloat),convfloat) (%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end], convfloat,[estimated_h], convfloat,[estimated_answer], convfloat),convfloat) (%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat) (%i52) mode_declare(main_prog(),fixnum) (%i53) define_variable(always,1,fixnum) (%i54) define_variable(info,2,fixnum) (%i55) define_variable(debugl,3,fixnum) (%i56) define_variable(debugmassive,4,fixnum) (%i57) define_variable(glob_iolevel,5,fixnum) (%i58) define_variable(glob_yes_pole,4,fixnum) (%i59) define_variable(glob_no_pole,3,fixnum) (%i60) define_variable(glob_not_given,0,fixnum) (%i61) define_variable(glob_no_sing_tests,4,fixnum) (%i62) define_variable(glob_ratio_test,1,fixnum) (%i63) define_variable(glob_three_term_test,2,fixnum) (%i64) define_variable(glob_six_term_test,3,fixnum) (%i65) define_variable(ats_max_terms,20,fixnum) (%i66) define_variable(glob_log_10,0.0,convfloat) (%i67) define_variable(max_unchanged,10,fixnum) (%i68) define_variable(glob__small,1.0E-51,convfloat) (%i69) define_variable(glob_small_float,1.0E-51,convfloat) (%i70) define_variable(glob_smallish_float,1.0E-61,convfloat) (%i71) define_variable(glob_large_float,1.0E+100,convfloat) (%i72) define_variable(glob_larger_float,1.1E+100,convfloat) (%i73) define_variable(glob__m2,-2.0,convfloat) (%i74) define_variable(glob__m1,-1.0,convfloat) (%i75) define_variable(glob__0,0.0,convfloat) (%i76) define_variable(glob__1,1.0,convfloat) (%i77) define_variable(glob__2,2.0,convfloat) (%i78) define_variable(glob__3,3.0,convfloat) (%i79) define_variable(glob__4,4.0,convfloat) (%i80) define_variable(glob__5,5.0,convfloat) (%i81) define_variable(glob__8,8.0,convfloat) (%i82) define_variable(glob__10,10.0,convfloat) (%i83) define_variable(glob__100,100.0,convfloat) (%i84) define_variable(glob__pi,0.0,convfloat) (%i85) define_variable(glob__0_5,0.5,convfloat) (%i86) define_variable(glob__0_8,0.8,convfloat) (%i87) define_variable(glob__m0_8,-0.8,convfloat) (%i88) define_variable(glob__0_25,0.25,convfloat) (%i89) define_variable(glob__0_125,0.125,convfloat) (%i90) define_variable(glob_prec,1.0E-16,convfloat) (%i91) define_variable(glob_check_sign,1.0,convfloat) (%i92) define_variable(glob_desired_digits_correct,8.0,convfloat) (%i93) define_variable(glob_max_estimated_step_error,0.0,convfloat) (%i94) define_variable(glob_ratio_of_radius,0.1,convfloat) (%i95) define_variable(glob_percent_done,0.0,convfloat) (%i96) define_variable(glob_total_exp_sec,0.1,convfloat) (%i97) define_variable(glob_optimal_expect_sec,0.1,convfloat) (%i98) define_variable(glob_estimated_size_answer,100.0,convfloat) (%i99) define_variable(glob_almost_1,0.999,convfloat) (%i100) define_variable(glob_clock_sec,0.0,convfloat) (%i101) define_variable(glob_clock_start_sec,0.0,convfloat) (%i102) define_variable(glob_disp_incr,0.1,convfloat) (%i103) define_variable(glob_h,0.1,convfloat) (%i104) define_variable(glob_diff_rc_fm,0.1,convfloat) (%i105) define_variable(glob_diff_rc_fmm1,0.1,convfloat) (%i106) define_variable(glob_diff_rc_fmm2,0.1,convfloat) (%i107) define_variable(glob_diff_ord_fm,0.1,convfloat) (%i108) define_variable(glob_diff_ord_fmm1,0.1,convfloat) (%i109) define_variable(glob_diff_ord_fmm2,0.1,convfloat) (%i110) define_variable(glob_six_term_ord_save,0.1,convfloat) (%i111) define_variable(glob_guess_error_rc,0.1,convfloat) (%i112) define_variable(glob_guess_error_ord,0.1,convfloat) (%i113) define_variable(glob_least_given_sing,9.9E+200,convfloat) (%i114) define_variable(glob_least_ratio_sing,9.9E+200,convfloat) (%i115) define_variable(glob_least_3_sing,9.9E+100,convfloat) (%i116) define_variable(glob_least_6_sing,9.9E+100,convfloat) (%i117) define_variable(glob_last_good_h,0.1,convfloat) (%i118) define_variable(glob_max_h,0.1,convfloat) (%i119) define_variable(glob_min_h,1.0E-6,convfloat) (%i120) define_variable(glob_display_interval,0.1,convfloat) (%i121) define_variable(glob_abserr,1.0E-11,convfloat) (%i122) define_variable(glob_relerr,1.0E-11,convfloat) (%i123) define_variable(glob_min_pole_est,1.0E+9,convfloat) (%i124) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat) (%i125) define_variable(glob_max_trunc_err,1.0E-11,convfloat) (%i126) define_variable(glob_max_hours,0.0,convfloat) (%i127) define_variable(glob_optimal_clock_start_sec,0.0,convfloat) (%i128) define_variable(glob_optimal_start,0.0,convfloat) (%i129) define_variable(glob_upper_ratio_limit,1.0001,convfloat) (%i130) define_variable(glob_lower_ratio_limit,0.9999,convfloat) (%i131) define_variable(glob_max_sec,10000.0,convfloat) (%i132) define_variable(glob_orig_start_sec,0.0,convfloat) (%i133) define_variable(glob_normmax,0.0,convfloat) (%i134) define_variable(glob_max_minutes,0.0,convfloat) (%i135) define_variable(glob_next_display,0.0,convfloat) (%i136) define_variable(glob_est_digits,1,fixnum) (%i137) define_variable(glob_subiter_method,3,fixnum) (%i138) define_variable(glob_html_log,true,boolean) (%i139) define_variable(glob_min_good_digits,99999,fixnum) (%i140) define_variable(glob_good_digits,0,fixnum) (%i141) define_variable(glob_min_apfp_est_good_digits,99999,fixnum) (%i142) define_variable(glob_apfp_est_good_digits,0,fixnum) (%i143) define_variable(glob_max_opt_iter,10,fixnum) (%i144) define_variable(glob_dump,false,boolean) (%i145) define_variable(glob_djd_debug,true,boolean) (%i146) define_variable(glob_display_flag,true,boolean) (%i147) define_variable(glob_djd_debug2,true,boolean) (%i148) define_variable(glob_h_reason,0,fixnum) (%i149) define_variable(glob_sec_in_minute,60,fixnum) (%i150) define_variable(glob_min_in_hour,60,fixnum) (%i151) define_variable(glob_hours_in_day,24,fixnum) (%i152) define_variable(glob_days_in_year,365,fixnum) (%i153) define_variable(glob_sec_in_hour,3600,fixnum) (%i154) define_variable(glob_sec_in_day,86400,fixnum) (%i155) define_variable(glob_sec_in_year,31536000,fixnum) (%i156) define_variable(glob_not_yet_finished,true,boolean) (%i157) define_variable(glob_initial_pass,true,boolean) (%i158) define_variable(glob_not_yet_start_msg,true,boolean) (%i159) define_variable(glob_reached_optimal_h,false,boolean) (%i160) define_variable(glob_optimal_done,false,boolean) (%i161) define_variable(glob_type_given_pole,0,fixnum) (%i162) define_variable(glob_optimize,false,boolean) (%i163) define_variable(glob_look_poles,false,boolean) (%i164) define_variable(glob_dump_closed_form,false,boolean) (%i165) define_variable(glob_max_iter,1000,fixnum) (%i166) define_variable(glob_no_eqs,0,fixnum) (%i167) define_variable(glob_unchanged_h_cnt,0,fixnum) (%i168) define_variable(glob_warned,false,boolean) (%i169) define_variable(glob_warned2,false,boolean) (%i170) define_variable(glob_start,0,fixnum) (%i171) define_variable(glob_iter,0,fixnum) (%i172) completearray(array_y_init,[20],convfloat) (%i173) completearray(array_norms,[20],convfloat) (%i174) completearray(array_fact_1,[20],convfloat) (%i175) completearray(array_1st_rel_error,[2],convfloat) (%i176) completearray(array_last_rel_error,[2],convfloat) (%i177) completearray(array_est_rel_error,[2],convfloat) (%i178) completearray(array_max_est_error,[2],convfloat) (%i179) completearray(array_type_pole,[2],convfloat) (%i180) completearray(array_type_real_pole,[2],convfloat) (%i181) completearray(array_type_complex_pole,[2],convfloat) (%i182) completearray(array_est_digits,[2],convfloat) (%i183) completearray(array_y,[20],convfloat) (%i184) completearray(array_x,[20],convfloat) (%i185) completearray(array_tmp0,[20],convfloat) (%i186) completearray(array_tmp1,[20],convfloat) (%i187) completearray(array_tmp2,[20],convfloat) (%i188) completearray(array_tmp3,[20],convfloat) (%i189) completearray(array_tmp4,[20],convfloat) (%i190) completearray(array_tmp5,[20],convfloat) (%i191) completearray(array_tmp6,[20],convfloat) (%i192) completearray(array_tmp7,[20],convfloat) (%i193) completearray(array_tmp8,[20],convfloat) (%i194) completearray(array_tmp9,[20],convfloat) (%i195) completearray(array_m1,[20],convfloat) (%i196) completearray(array_y_higher,[2,20],convfloat) (%i197) completearray(array_y_higher_work,[2,20],convfloat) (%i198) completearray(array_y_higher_work2,[2,20],convfloat) (%i199) completearray(array_y_set_initial,[2,20],convfloat) (%i200) completearray(array_given_rad_poles,[2,3],convfloat) (%i201) completearray(array_given_ord_poles,[2,3],convfloat) (%i202) completearray(array_rad_test_poles,[2,4],convfloat) (%i203) completearray(array_ord_test_poles,[2,4],convfloat) (%i204) completearray(array_fact_2,[20,20],convfloat) (%i205) omniout_str(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a~%",string(str)) (%i206) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a",string(str)) (%i207) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel then printf(true,"~a = ~a~%",string(label), string(str)) (%i208) omniout_float(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (if vallen = 4 then printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel) else printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel)) (%i209) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (printf(true,"~a = ~d ~a~%",prelabel,value, postlabel),newline()) (%i210) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen, postlabel):=if glob_iolevel >= iolevel then (sprint(prelabel,"[",elemnt,"]=",value, postlabel),newline()) (%i211) logitem_time(fd,secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp],convfloat]), secs:secs_in,printf(fd,"~%"), if secs >= 0 then (years_int :truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int :truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp, truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp, truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if truncate(years_int) > 0.1 then printf(fd, "~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(fd,"~d Seconds~%", sec_int)) else printf(fd," 0.0 Seconds~%"), printf(fd,"~%")),0) (%i212) omniout_timestr(secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp], convfloat]),secs:secs_in, if secs >= 0 then ( years_int:truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int:truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp,truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp,truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(true,"= ~d Seconds~%", sec_int)) else printf(true,"= 0.0 Seconds~%")),0) (%i213) zero_ats_ar(arr_a):=( block(mode_declare([iii],fixnum),iii:1, while iii <= ats_max_terms do (arr_a[iii]:glob__0,iii:1+iii)),0) (%i214) ats(mmm_ats,arr_a,arr_b,jjj_ats):=block( mode_declare([[iii_ats,lll_ats,ma_ats],fixnum,[ret_ats], convfloat]),ret_ats:glob__0, if jjj_ats <= mmm_ats then (ma_ats:1+mmm_ats,iii_ats:jjj_ats, while iii_ats <= mmm_ats do (lll_ats:ma_ats-iii_ats, if lll_ats <= ats_max_terms and iii_ats <= ats_max_terms then ret_ats :c(arr_a[iii_ats])*c(arr_b[lll_ats])+ret_ats, iii_ats:1+iii_ats)),ret_ats) (%i215) att(mmm_att,arr_aa,arr_bb,jjj_att):=block( mode_declare([[al_att,iii_att,lll_att,ma_att],convfloat,[ret_att], fixnum]),ret_att:glob__0, if jjj_att < mmm_att then (ma_att:2+mmm_att,iii_att:jjj_att, while iii_att < mmm_att and iii_att <= ats_max_terms do (lll_att:ma_att-iii_att,al_att:lll_att-1, if lll_att <= ats_max_terms and iii_att <= ats_max_terms then ret_att :c(arr_aa[iii_att])*c(arr_bb[lll_att]) *c(al_att) +ret_att,iii_att:1+iii_att), ret_att:ret_att/c(mmm_att)),ret_att) (%i216) logditto(file):=(printf(file,""),printf(file,"ditto"), printf(file,""),0) (%i217) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n), printf(file,""),0) (%i218) logitem_str(file,str):=(printf(file,""),printf(file,str), printf(file,""),0) (%i219) logitem_good_digits(file,rel_error):=( block(mode_declare([[good_digits],fixnum]), printf(file,""), printf(file,"~d",glob_min_good_digits), printf(file,"")),0) (%i220) log_revs(file,revs):=printf(file,revs) (%i221) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x), printf(file,""),0) (%i222) logitem_h_reason(file):=(printf(file,""), if glob_h_reason = 1 then printf(file,"Max H") elseif glob_h_reason = 2 then printf(file,"Display_interval") elseif glob_h_reason = 3 then printf(file,"Optimal") elseif glob_h_reason = 4 then printf(file,"Pole Accuracy") elseif glob_h_reason = 5 then printf(file,"Min H (Pole)") elseif glob_h_reason = 6 then printf(file,"Pole") elseif glob_h_reason = 7 then printf(file,"Opt Iter") else printf(file,"Impossible"), printf(file,""),0) (%i223) logstart(file):=(printf(file,""),0) (%i224) logend(file):=(printf(file,"~%"),0) (%i225) chk_data():=( block(mode_declare([[errflag],boolean]),errflag:false, if glob_max_iter < 2 then (omniout_str(always,"Illegal max_iter"), errflag:true),if errflag then quit()),0) (%i226) comp_expect_sec(t_end2,t_start2,t2,clock_sec2):=block( mode_declare([[ms2,rrr,sec_left,sub1,sub2], convfloat]),ms2:c(clock_sec2), sub1:c(t_end2-t_start2),sub2:c(t2-t_start2), if sub1 = glob__0 then sec_left:glob__0 else (if sub2 > glob__0 then (rrr:sub1/sub2, sec_left:rrr*c(ms2)-c(ms2)) else sec_left:glob__0),sec_left) (%i227) comp_percent(t_end2,t_start2,t2):=block( mode_declare([[rrr,sub1,sub2],convfloat]), sub1:t_end2-t_start2,sub2:t2-t_start2, if sub2 > glob_small_float then rrr:glob__100*sub2/sub1 else rrr:0.0,rrr) (%i228) comp_rad_from_ratio(term1,term2,last_no):=( if abs(term2) > glob__0 then ret:abs(term1*glob_h/term2) else ret:glob_larger_float,ret) (%i229) comp_ord_from_ratio(term1,term2,last_no):=( if abs(term2) > glob__0 then ret :abs(term2)*c(last_no) *log(abs(term1*glob_h/term2)) /log(c(last_no)) +glob__1 else ret:glob_larger_float,ret) (%i230) c(in_val):=(ret:in_val,ret) (%i231) comp_rad_from_three_terms(term1,term2,term3,last_no):=( temp:abs( term1*term3-term1*term3*c(last_no) +glob__m2*term2*term2 +term2*term2*c(last_no)), if abs(temp) > glob__0 then ret:abs(term2*glob_h*term1/temp) else ret:glob_larger_float,ret) (%i232) comp_ord_from_three_terms(term1,term2,term3,last_no):=( ret:abs( (-term1*term3*c(last_no*last_no) +term2*term2*c(last_no*last_no) +glob__4*term2*term2 -glob__4*term2*term2*c(last_no) -glob__3*term1*term3 +glob__4*term1*term3*c(last_no)) /(term1*term3-term1*term3*c(last_no) -glob__2*term2*term2 +term2*term2*c(last_no))), ret) (%i233) comp_rad_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):= ( if term5 # glob__0 and term4 # glob__0 and term3 # glob__0 and term2 # glob__0 and term1 # glob__0 then (rm0:term6/term5,rm1:term5/term4, rm2:term4/term3,rm3:term3/term2, rm4:term2/term1, nr1 :c(last_no-3)*rm2 -glob__2*c(last_no-2)*rm1 +c(last_no-1)*rm0, nr2 :c(last_no-4)*rm3 -glob__2*c(last_no-3)*rm2 +c(last_no-2)*rm1, dr1 :(-glob__1)/rm3+glob__2/rm2 +glob__m1/rm1, dr2 :(-glob__1)/rm4+glob__2/rm3 +glob__m1/rm2, ds1 :glob__5/rm3-glob__8/rm2 +glob__3/rm1, ds2 :glob__5/rm4-glob__8/rm3 +glob__3/rm2, if abs(nr1*dr2-nr2*dr1) = glob__0 or abs(dr1) = glob__0 then (rad_c:glob_larger_float, ord_no:glob_larger_float) else (if abs(nr1*dr2-nr2*dr1) > glob__0 then ( rcs :(dr1*dr2-ds2*dr1+ds1*dr2) /(nr1*dr2-nr2*dr1), ord_no :(rcs*nr1-ds1)/(glob__2*dr1) -c(last_no)/glob__2, if abs(rcs) # glob__0 then (if rcs > glob__0 then rad_c :sqrt(rcs) *abs(glob_h) else ( rad_c :glob_larger_float, ord_no :glob_larger_float)) else ( rad_c:glob_larger_float, ord_no:glob_larger_float)) else (rad_c:glob_larger_float, ord_no:glob_larger_float))) else (rad_c:glob_larger_float, ord_no:glob_larger_float), glob_six_term_ord_save:ord_no,rad_c) (%i234) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save (%i235) factorial_2(nnn):=block(mode_declare([[ret],convfloat]),ret:nnn!,ret) (%i236) factorial_1(nnn):=block(mode_declare([[ret],convfloat]), if nnn <= ats_max_terms then (if array_fact_1[nnn] = 0 then (ret:factorial_2(nnn), array_fact_1[nnn]:ret) else ret:array_fact_1[nnn]) else ret:factorial_2(nnn),ret) (%i237) factorial_1(in):=block(mode_declare([[ret],convfloat]),ret:in!,ret) (%i238) neg(in):=block(mode_declare([[ret],convfloat]),ret:-in,ret) (%i239) factorial_3(mmm,nnn):=block(mode_declare([[ret],convfloat]), if nnn <= ats_max_terms and mmm <= ats_max_terms then (if array_fact_2[mmm,nnn] = 0 then (ret:factorial_1(mmm)/factorial_1(nnn), array_fact_2[mmm,nnn]:ret) else ret:array_fact_2[mmm,nnn]) else ret:factorial_2(mmm)/factorial_2(nnn),ret) (%i240) log10(x):=log(x)/glob_log_10 (%i241) c(x):=x (%i242) expt(x,y):=if y = 0.0 then 1.0 elseif x <= 0.0 and y < 0.0 then print("expt error x = ",x,"y = ",y) else x^y (%i243) estimated_needed_step_error(x_start,x_end,estimated_h, estimated_answer):=block( [desired_abs_gbl_error,range, estimated_steps,step_error], omniout_float(always, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32,""), desired_abs_gbl_error :expt(glob__10, c(-glob_desired_digits_correct)) *c(abs(c(estimated_answer))), omniout_float(always,"estimated_h",32, estimated_h,32,""), omniout_float(always,"estimated_answer", 32,estimated_answer,32,""), omniout_float(always, "desired_abs_gbl_error",32, desired_abs_gbl_error,32, ""),range:x_end-x_start, omniout_float(always,"range",32,range,32, ""), estimated_steps:range/estimated_h, omniout_float(always,"estimated_steps",32, estimated_steps,32,""), step_error :c( abs(desired_abs_gbl_error) /sqrt(c(estimated_steps)) /c(ats_max_terms)), omniout_float(always,"step_error",32, step_error,32,""), step_error) (%i244) exact_soln_y(x):=block(c(1.0)/(c(1.0E-6)+c(x)*c(x))) c(1.0) (%o244) exact_soln_y(x) := block(---------------------) c(1.0E-6) + c(x) c(x) (%i245) display_poles():=( block(mode_declare([[rad_given],convfloat]), if glob_type_given_pole = 1 or glob_type_given_pole = 2 then (rad_given :sqrt( array_given_rad_poles[1,2] *array_given_rad_poles[1,2] +(array_x[1] -array_given_rad_poles[1,1]) *(array_x[1] -array_given_rad_poles[1,1])), omniout_float(always, "Radius of convergence (given) for eq 1 ", 4,rad_given,4," "), omniout_float(always, "Order of pole (given) ", 4, array_given_ord_poles[ 1,1],4," "), if rad_given < glob_least_given_sing then glob_least_given_sing :rad_given) elseif glob_type_given_pole = 3 then omniout_str(always, "NO POLE (given) for Equation 1") elseif glob_type_given_pole = 5 then omniout_str(always, "SOME POLE (given) for Equation 1") else omniout_str(always, "NO info (given) for Equation 1"), if array_rad_test_poles[1,1] < glob_large_float then (omniout_float(always, "Radius of convergence (ratio test) for eq 1 ", 4, array_rad_test_poles[1,1], 4," "), if array_rad_test_poles[1,1] < glob_least_ratio_sing then glob_least_ratio_sing :array_rad_test_poles[1,1], omniout_float(always, "Order of pole (ratio test) ", 4, array_ord_test_poles[1,1], 4," ")) else omniout_str(always, "NO POLE (ratio test) for Equation 1"), if array_rad_test_poles[1,2] > glob__small and array_rad_test_poles[1,2] < glob_large_float then (omniout_float(always, "Radius of convergence (three term test) for eq 1 ", 4, array_rad_test_poles[1,2], 4," "), if array_rad_test_poles[1,2] < glob_least_3_sing then glob_least_3_sing :array_rad_test_poles[1,2], omniout_float(always, "Order of pole (three term test) ", 4, array_ord_test_poles[1,2], 4," ")) else omniout_str(always, "NO REAL POLE (three term test) for Equation 1"), if array_rad_test_poles[1,3] > glob__small and array_rad_test_poles[1,3] < glob_large_float then (omniout_float(always, "Radius of convergence (six term test) for eq 1 ", 4, array_rad_test_poles[1,3], 4," "), if array_rad_test_poles[1,3] < glob_least_6_sing then glob_least_6_sing :array_rad_test_poles[1,3], omniout_float(always, "Order of pole (six term test) ", 4, array_ord_test_poles[1,3], 4," ")) else omniout_str(always, "NO COMPLEX POLE (six term test) for Equation 1")), 0) (%i246) my_check_sign(x0,xf):=block([ret], if xf > x0 then ret:glob__1 else ret:glob__m1,ret) (%i247) est_size_answer():=block([min_size], min_size:glob_estimated_size_answer, if abs(array_y[1]) < min_size then (min_size:abs(array_y[1]), omniout_float(always,"min_size",32,min_size, 32,"")), if min_size < glob__1 then (min_size:glob__1, omniout_float(always,"min_size",32,min_size, 32,"")),min_size) (%i248) test_suggested_h():=block( [max_estimated_step_error,hn_div_ho,hn_div_ho_2, hn_div_ho_3,no_terms,est_tmp], max_estimated_step_error:glob__small, no_terms:ats_max_terms,hn_div_ho:glob__0_5, hn_div_ho_2:glob__0_25,hn_div_ho_3:glob__0_125, omniout_float(always,"hn_div_ho",32,hn_div_ho,32,""), omniout_float(always,"hn_div_ho_2",32,hn_div_ho_2,32, ""), omniout_float(always,"hn_div_ho_3",32,hn_div_ho_3,32, ""), est_tmp:abs(array_y[no_terms]*hn_div_ho_3 +array_y[no_terms-1]*hn_div_ho_2 +array_y[no_terms-2]*hn_div_ho +array_y[no_terms-3]), if est_tmp >= max_estimated_step_error then max_estimated_step_error:est_tmp, omniout_float(always,"max_estimated_step_error",32, max_estimated_step_error,32,""), max_estimated_step_error) (%i249) track_estimated_error():=block( [hn_div_ho,hn_div_ho_2,hn_div_ho_3,no_terms, est_tmp],no_terms:ats_max_terms, hn_div_ho:glob__0_5,hn_div_ho_2:glob__0_25, hn_div_ho_3:glob__0_125, est_tmp:c(abs(array_y[no_terms]))*c(hn_div_ho_3) +c(abs(array_y[no_terms-1])) *c(hn_div_ho_2) +c(abs(array_y[no_terms-2])) *c(hn_div_ho) +c(abs(array_y[no_terms-3])), if glob_prec*c(abs(array_y[1])) > c(est_tmp) then est_tmp :c(glob_prec)*c(abs(array_y[1])), if c(est_tmp) >= c(array_max_est_error[1]) then array_max_est_error[1]:c(est_tmp)) (%i250) reached_interval():=block(mode_declare([[ret],boolean]), if glob_check_sign*array_x[1] >= glob_check_sign*glob_next_display -glob_h/glob__10 then ret:true else ret:false, return(ret)) (%i251) display_alot(iter):=( block(mode_declare( [[abserr,est_rel_err],convfloat, [closed_form_val_y],convfloat,[ind_var], convfloat,[numeric_val],convfloat,[relerr], convfloat,[term_no],fixnum]), if reached_interval() then (if iter >= 0 then (ind_var:array_x[1], omniout_float(always, "x[1] ", 33,ind_var,20, " "), closed_form_val_y :exact_soln_y(ind_var), omniout_float(always, "y[1] (closed_form) ", 33, closed_form_val_y, 20," "), term_no:1, numeric_val:array_y[term_no], abserr :abs( numeric_val -closed_form_val_y), omniout_float(always, "y[1] (numeric) ", 33,numeric_val, 20," "), if c(abs(closed_form_val_y)) > c(glob_prec) then ( relerr :abserr*glob__100 /abs(closed_form_val_y), if c(relerr) > c(glob_prec) then glob_good_digits :3 -floor(log10(c(relerr))) else glob_good_digits:16) else (relerr:glob__m1, glob_good_digits:-16), if glob_good_digits < glob_min_good_digits then glob_min_good_digits :glob_good_digits, if glob_apfp_est_good_digits < glob_min_apfp_est_good_digits then glob_min_apfp_est_good_digits :glob_apfp_est_good_digits, if c(abs(numeric_val)) > c(glob_prec) then ( est_rel_err :c(array_max_est_error[1]) *glob__100 *c(sqrt(glob_iter))*c(35) *c(ats_max_terms) /c(abs(numeric_val)), if est_rel_err > glob_prec then glob_est_digits :3 -floor( log10(est_rel_err)) else glob_est_digits:16) else (relerr:glob__m1, glob_est_digits:-16), array_est_digits[1] :glob_est_digits, if glob_iter = 1 then array_1st_rel_error[1] :relerr else array_last_rel_error[ 1] :relerr, array_est_rel_error[1] :est_rel_err, omniout_float(always, "absolute error ", 4,abserr,20," "), omniout_float(always, "relative error ", 4,relerr,20,"%"), omniout_int(info, "Desired digits ", 32, glob_desired_digits_correct, 4," "), omniout_int(info, "Estimated correct digits ", 32,glob_est_digits, 4," "), omniout_int(info, "Correct digits ", 32, glob_good_digits,4, " "), omniout_float(always, "h ", 4,glob_h,20, " ")))),0) (%i252) prog_report(x_start,x_end):=( block(mode_declare([[clock_sec],convfloat,[opt_clock_sec], convfloat,[clock_sec1],convfloat, [expect_sec],convfloat,[left_sec], convfloat,[percent_done],convfloat, [total_clock_sec],convfloat]), clock_sec1:elapsed_time_seconds(), total_clock_sec:clock_sec1-glob_orig_start_sec, glob_clock_sec:clock_sec1-glob_clock_start_sec, left_sec:-clock_sec1+glob_orig_start_sec +glob_max_sec, expect_sec:comp_expect_sec(x_end,x_start, glob_h+array_x[1], clock_sec1 -glob_orig_start_sec), opt_clock_sec:clock_sec1 -glob_optimal_clock_start_sec, glob_optimal_expect_sec :comp_expect_sec(x_end,x_start,glob_h+array_x[1], opt_clock_sec), glob_total_exp_sec :c(total_clock_sec)+glob_optimal_expect_sec, percent_done:comp_percent(x_end,x_start, glob_h+array_x[1]), glob_percent_done:percent_done, omniout_str_noeol(info, "Total Elapsed Time "), omniout_timestr(total_clock_sec), omniout_str_noeol(info, "Elapsed Time(since restart) "), omniout_timestr(glob_clock_sec), if c(percent_done) < glob__100 then (omniout_str_noeol(info, "Expected Time Remaining "), omniout_timestr(expect_sec), omniout_str_noeol(info, "Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec), omniout_str_noeol(info, "Expected Total Time "), omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(info, "Time to Timeout "), omniout_timestr(left_sec), omniout_float(info, "Percent Done ",33, percent_done,4,"%")),0) (%i253) check_for_pole():=( block(mode_declare([cnt],fixnum,[dr1,dr2,ds1,ds2,hdrc], convfloat,[m,n],fixnum,[nr1,nr2], convfloat,[ord_no],fixnum, [term1,term2,term3,part1,part2, part3,part4,part5,part6,part7, part8,part9,part10,part11,part12, part13,part14,rad_c,rcs,rm0,rm1, rm2,rm3,rm4],convfloat, [found_sing],fixnum, [h_new,ratio,term,local_test, tmp_rad,tmp_ord,tmp_ratio, prev_tmp_rad],convfloat,[last_no], fixnum),tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,1]:glob_larger_float, array_ord_test_poles[1,1]:glob_larger_float, found_sing:1,last_no:-10-1+ats_max_terms,cnt:0, while last_no < ats_max_terms-3 and found_sing = 1 do (tmp_rad :comp_rad_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), if abs(prev_tmp_rad) > glob__0 then tmp_ratio:tmp_rad/prev_tmp_rad else tmp_ratio:glob_large_float, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,1] then ( array_rad_test_poles[1,1]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,1]:rad_c, array_ord_test_poles[1,1] :tmp_ord)), tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,2]:glob_larger_float, array_ord_test_poles[1,2]:glob_larger_float, found_sing:1,last_no:-10-1+ats_max_terms,cnt:0, while last_no < ats_max_terms-4 and found_sing = 1 do (tmp_rad :comp_rad_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), if abs(prev_tmp_rad) > glob__0 then tmp_ratio:tmp_rad/prev_tmp_rad else tmp_ratio:glob_large_float, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,2] then ( array_rad_test_poles[1,2]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,2]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,2] :tmp_ord)), tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,3]:glob_larger_float, array_ord_test_poles[1,3]:glob_larger_float, found_sing:1,last_no:-10-1+ats_max_terms,cnt:0, while last_no < ats_max_terms-7 and found_sing = 1 do (tmp_rad :comp_rad_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), if abs(prev_tmp_rad) > glob__0 then tmp_ratio:tmp_rad/prev_tmp_rad else tmp_ratio:glob_large_float, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,3] then ( array_rad_test_poles[1,3]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,3]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,3] :tmp_ord)), if abs(glob_min_pole_est)*glob_ratio_of_radius < abs(glob_h) then (h_new :glob_check_sign*glob_min_pole_est *glob_ratio_of_radius, omniout_str(always, "SETTING H FOR POLE"), glob_h_reason:6, if glob_check_sign*glob_min_h > glob_check_sign*h_new then ( omniout_str(always, "SETTING H FOR MIN H"), h_new:glob_min_h,glob_h_reason:5), term:1,ratio:c(1.0), while term <= ats_max_terms do ( array_y[term] :array_y[term]*ratio, array_y_higher[1,term] :array_y_higher[1,term]*ratio, array_x[term] :array_x[term]*ratio, ratio:ratio*h_new/abs(glob_h), term:1+term),glob_h:h_new), if reached_interval() then display_poles()),0) (%i254) atomall():=( block(mode_declare([[kkk,order_d],fixnum, [adj2,adj3,temporary,term,temp,temp2], convfloat]), array_tmp1[1]:neg(array_const_2D0[1]), array_tmp2[1]:array_tmp1[1]*array_x[1], array_tmp3[1]:array_x[1]*array_x[1], array_tmp4[1]:array_const_0D000001[1]+array_tmp3[1], array_tmp5[1]:array_tmp2[1]/array_tmp4[1], array_tmp6[1]:array_x[1]*array_x[1], array_tmp7[1]:array_const_0D000001[1]+array_tmp6[1], array_tmp8[1]:array_tmp5[1]/array_tmp7[1], array_tmp9[1]:array_tmp8[1]+array_const_0D0[1], if not array_y_set_initial[1,2] then (if 1 <= ats_max_terms then ( temporary :c(array_tmp9[1])*expt(glob_h,c(1)) *c(factorial_3(0,1)), if 2 <= ats_max_terms then (array_y[2]:temporary, array_y_higher[1,2]:temporary), temporary:c(temporary)*c(1)/c(glob_h), array_y_higher[2,1]:c(temporary),0)), kkk:2,array_tmp2[2]:array_tmp1[1]*array_x[2], array_tmp3[2]:array_x[2]*array_x[1] +array_x[1]*array_x[2], array_tmp4[2]:array_tmp3[2], array_tmp5[2]:(array_tmp2[2] -array_tmp5[1]*array_tmp4[2]) /array_tmp4[1], array_tmp6[2]:array_x[2]*array_x[1] +array_x[1]*array_x[2], array_tmp7[2]:array_tmp6[2], array_tmp8[2]:(array_tmp5[2] -ats(2,array_tmp7,array_tmp8,2)) /array_tmp7[1], array_tmp9[2]:array_tmp8[2], if not array_y_set_initial[1,3] then (if 2 <= ats_max_terms then ( temporary :c(array_tmp9[2])*expt(glob_h,c(1)) *c(factorial_3(1,2)), if 3 <= ats_max_terms then (array_y[3]:temporary, array_y_higher[1,3]:temporary), temporary:c(temporary)*c(2)/c(glob_h), array_y_higher[2,2]:c(temporary),0)), kkk:3,array_tmp3[3]:array_x[2]*array_x[2], array_tmp4[3]:array_tmp3[3], array_tmp5[3]:neg(ats(3,array_tmp4,array_tmp5,2)) /array_tmp4[1], array_tmp6[3]:array_x[2]*array_x[2], array_tmp7[3]:array_tmp6[3], array_tmp8[3]:(array_tmp5[3] -ats(3,array_tmp7,array_tmp8,2)) /array_tmp7[1], array_tmp9[3]:array_tmp8[3], if not array_y_set_initial[1,4] then (if 3 <= ats_max_terms then ( temporary :c(array_tmp9[3])*expt(glob_h,c(1)) *c(factorial_3(2,3)), if 4 <= ats_max_terms then (array_y[4]:temporary, array_y_higher[1,4]:temporary), temporary:c(temporary)*c(3)/c(glob_h), array_y_higher[2,3]:c(temporary),0)), kkk:4,array_tmp4[4]:array_tmp3[4], array_tmp5[4]:neg(ats(4,array_tmp4,array_tmp5,2)) /array_tmp4[1], array_tmp7[4]:array_tmp6[4], array_tmp8[4]:(array_tmp5[4] -ats(4,array_tmp7,array_tmp8,2)) /array_tmp7[1], array_tmp9[4]:array_tmp8[4], if not array_y_set_initial[1,5] then (if 4 <= ats_max_terms then ( temporary :c(array_tmp9[4])*expt(glob_h,c(1)) *c(factorial_3(3,4)), if 5 <= ats_max_terms then (array_y[5]:temporary, array_y_higher[1,5]:temporary), temporary:c(temporary)*c(4)/c(glob_h), array_y_higher[2,4]:c(temporary),0)), kkk:5,array_tmp4[5]:array_tmp3[5], array_tmp5[5]:neg(ats(5,array_tmp4,array_tmp5,2)) /array_tmp4[1], array_tmp7[5]:array_tmp6[5], array_tmp8[5]:(array_tmp5[5] -ats(5,array_tmp7,array_tmp8,2)) /array_tmp7[1], array_tmp9[5]:array_tmp8[5], if not array_y_set_initial[1,6] then (if 5 <= ats_max_terms then ( temporary :c(array_tmp9[5])*expt(glob_h,c(1)) *c(factorial_3(4,5)), if 6 <= ats_max_terms then (array_y[6]:temporary, array_y_higher[1,6]:temporary), temporary:c(temporary)*c(5)/c(glob_h), array_y_higher[2,5]:c(temporary),0)), kkk:6, while kkk <= ats_max_terms do (array_tmp4[kkk]:array_tmp3[kkk], array_tmp5[kkk] :neg(ats(kkk,array_tmp4,array_tmp5,2)) /array_tmp4[1],array_tmp7[kkk]:array_tmp6[kkk], array_tmp8[kkk] :(array_tmp5[kkk] -ats(kkk,array_tmp7,array_tmp8,2)) /array_tmp7[1],array_tmp9[kkk]:array_tmp8[kkk], order_d:1, if order_d+kkk <= ats_max_terms then (if not array_y_set_initial[1,order_d+kkk] then ( temporary :c(array_tmp9[kkk])*expt(glob_h,c(order_d)) *c( factorial_3( kkk-1, -1+order_d+kkk)), array_y[order_d+kkk]:c(temporary), array_y_higher[1,order_d+kkk]:c(temporary), term:-1+order_d+kkk,adj2:-1+order_d+kkk, adj3:2, while term >= 1 and term <= ats_max_terms and adj3 < 1+order_d do ( if adj3 <= 1+order_d then ( if adj2 > 0 then temporary :c(temporary)*c(adj2) /c(glob_h) else temporary:c(temporary), array_y_higher[adj3,term] :c(temporary)),term:term-1, adj2:adj2-1,adj3:1+adj3))), kkk:1+kkk)),0) (%i255) exact_soln_y(x):=block(c(1.0)/(c(1.0E-6)+c(x)*c(x))) c(1.0) (%o255) exact_soln_y(x) := block(---------------------) c(1.0E-6) + c(x) c(x) (%i256) main_prog():=block( mode_declare([[d1,d2,d3,d4,est_err_2,display_max],convfloat, [niii,done_once,term,ord,order_diff,term_no, html_log_file,iiif,jjjf,rows,r_order, sub_iter,calc_term,iii],fixnum,[temp_sum], convfloat,[current_iter],fixnum, [x_start,x_end],convfloat,[it,opt_iter], fixnum,[tmp],convfloat,[subiter],fixnum, [est_needed_step_err,estimated_step_error, min_value,est_answer,last_min_pole_est], convfloat,[repeat_it],fixnum],[found_h], boolean),Digits:32,max_terms:20, glob_html_log:true,term:1, while term <= 20 do (array_y_init[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_norms[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_fact_1[term]:c(0.0),term:1+term), term:1, while term <= 2 do (array_1st_rel_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_last_rel_error[term]:c(0.0),term:1+term), term:1, while term <= 2 do (array_est_rel_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_max_est_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_type_pole[term]:0,term:1+term), term:1, while term <= 2 do (array_type_real_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_type_complex_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_est_digits[term]:0,term:1+term), term:1, while term <= 20 do (array_y[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_x[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp0[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp1[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp2[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp3[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp4[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp5[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp6[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp7[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp8[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp9[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_m1[term]:c(0.0),term:1+term), ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_higher[ord,term]:c(0.0),term:1+term), ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_higher_work[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_higher_work2[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_set_initial[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_rad_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_ord_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_rad_test_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_ord_test_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 20 do (term:1, while term <= 20 do (array_fact_2[ord,term]:c(0.0),term:1+term), ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x), zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1), zero_ats_ar(array_tmp2),zero_ats_ar(array_tmp3), zero_ats_ar(array_tmp4),zero_ats_ar(array_tmp5), zero_ats_ar(array_tmp6),zero_ats_ar(array_tmp7), zero_ats_ar(array_tmp8),zero_ats_ar(array_tmp9), zero_ats_ar(array_m1),zero_ats_ar(array_const_1), array_const_1[1]:c(1),zero_ats_ar(array_const_0D0), array_const_0D0[1]:c(0.0),zero_ats_ar(array_const_2D0), array_const_2D0[1]:c(2.0),zero_ats_ar(array_const_0D000001), array_const_0D000001[1]:c(1.0E-6),zero_ats_ar(array_m1), array_m1[1]:glob__m1,iiif:0, while iiif <= ats_max_terms do (jjjf:0, while jjjf <= ats_max_terms do (array_fact_1[iiif]:0, array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf), iiif:1+iiif),array_y_set_initial[1,1]:true, array_y_set_initial[1,2]:false, array_y_set_initial[1,3]:false, array_y_set_initial[1,4]:false, array_y_set_initial[1,5]:false, array_y_set_initial[1,6]:false, array_y_set_initial[1,7]:false, array_y_set_initial[1,8]:false, array_y_set_initial[1,9]:false, array_y_set_initial[1,10]:false, array_y_set_initial[1,11]:false, array_y_set_initial[1,12]:false, array_y_set_initial[1,13]:false, array_y_set_initial[1,14]:false, array_y_set_initial[1,15]:false, array_y_set_initial[1,16]:false, array_y_set_initial[1,17]:false, array_y_set_initial[1,18]:false, array_y_set_initial[1,19]:false, array_y_set_initial[1,20]:false,glob_log_10:log(10.0), glob_orig_start_sec:elapsed_time_seconds(), glob_display_flag:true,glob_no_eqs:1,glob_iter:-1, opt_iter:-1,glob_max_iter:50000,glob_max_hours:0.0, glob_max_minutes:15.0, omniout_str(always, "##############ECHO OF PROBLEM#################"), omniout_str(always, "##############temp/sing1_backpostode.ode#################"), omniout_str(always, "diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; "), omniout_str(always,"!"), omniout_str(always,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(always,"Digits:32,"), omniout_str(always,"max_terms:20,"),omniout_str(always,"!"), omniout_str(always,"/* END FIRST INPUT BLOCK */"), omniout_str(always,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(always,"x_start:c(-1.5),"), omniout_str(always,"x_end:c(-2.0),"), omniout_str(always, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(always,"glob_look_poles:true,"), omniout_str(always,"glob_max_h:c(0.1),"), 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:2,"), omniout_str(always,""), omniout_str(always,"array_given_rad_poles[1,1]:c(0.0),"), omniout_str(always,""), omniout_str(always,"array_given_rad_poles[1,2]:c(0.001),"), omniout_str(always,""), omniout_str(always,"array_given_ord_poles[1,1]:c(1.0),"), omniout_str(always,""), omniout_str(always,"array_given_ord_poles[1,2]:c(0.0),"), omniout_str(always,"/* END SECOND INPUT BLOCK */"), omniout_str(always,"/* BEGIN OVERRIDE BLOCK */"), omniout_str(always,"glob_desired_digits_correct:8,"), omniout_str(always,"glob_max_minutes:(3.0),"), omniout_str(always,"glob_subiter_method:3,"), omniout_str(always,"glob_max_iter:100000,"), omniout_str(always,"glob_upper_ratio_limit:c(1.000001),"), omniout_str(always,"glob_lower_ratio_limit:c(0.999999),"), omniout_str(always,"glob_look_poles:false,"), omniout_str(always,"glob_h:c(0.001),"), omniout_str(always,"glob_display_interval:c(0.01),"), omniout_str(always,"/* END OVERRIDE BLOCK */"), omniout_str(always,"!"), omniout_str(always,"/* BEGIN USER DEF BLOCK */"), omniout_str(always,"exact_soln_y (x) := (block("), omniout_str(always,""), omniout_str(always, " (c(1.0) / (c(x) * c(x) + c(0.000001))) "), omniout_str(always,"));"),omniout_str(always,""), omniout_str(always,""), omniout_str(always,"/* END USER DEF BLOCK */"), omniout_str(always, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false, glob_small_float:glob__0,glob_smallish_float:glob__0, glob_large_float:c(1.0E+100),glob_larger_float:c(1.1E+100), glob_almost_1:c(0.99),x_start:c(-1.5),x_end:c(-2.0), array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:true,glob_max_h:c(0.1), glob_type_given_pole:2,array_given_rad_poles[1,1]:c(0.0), array_given_rad_poles[1,2]:c(0.001), array_given_ord_poles[1,1]:c(1.0), array_given_ord_poles[1,2]:c(0.0), glob_desired_digits_correct:8,glob_max_minutes:3.0, glob_subiter_method:3,glob_max_iter:100000, glob_upper_ratio_limit:c(1.000001), glob_lower_ratio_limit:c(0.999999),glob_look_poles:false, glob_h:c(0.001),glob_display_interval:c(0.01), glob_last_good_h:glob_h, glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes, glob_check_sign:c(my_check_sign(x_start,x_end)), glob__pi:3.141592654,glob_prec:1.0E-16, if glob_optimize then (omniout_str(always,"START of Optimize"), found_h:false,glob_min_pole_est:glob_larger_float, last_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float, glob_min_h:abs(glob_min_h)*glob_check_sign, glob_max_h:abs(glob_max_h)*glob_check_sign, glob_h:abs(glob_min_h)*glob_check_sign, glob_display_interval :c(abs(c(glob_display_interval)) *glob_check_sign), display_max:c(x_end)-c(x_start)/glob__10, if glob_display_interval > display_max then glob_display_interval:c(display_max), chk_data(),min_value:glob_larger_float, est_answer:est_size_answer(),opt_iter:1, est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(always,"est_needed_step_err",32, est_needed_step_err,16,""), estimated_step_error:glob_small_float, while opt_iter <= 100 and not found_h do (omniout_int(always,"opt_iter",32,opt_iter, 4,""),array_x[1]:c(x_start), array_x[2]:c(glob_h), glob_next_display:c(x_start),order_diff:1, term_no:1, while term_no <= order_diff do ( array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h, c(term_no-1)) /c( factorial_1( term_no-1)), term_no:1+term_no), r_order:1+r_order),atomall(), if glob_check_sign*glob_min_h >= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR MIN H"), glob_h:glob_check_sign*abs(glob_min_h), glob_h_reason:1,found_h:true), if glob_check_sign*glob_display_interval <= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR DISPLAY INTERVAL"), glob_h_reason:2, glob_h:glob_display_interval, found_h:true), if glob_look_poles then check_for_pole(), if not found_h then (est_answer:est_size_answer(), est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h, est_answer), omniout_float(always, "est_needed_step_err", 32, est_needed_step_err, 16,""), estimated_step_error :test_suggested_h(), omniout_float(always, "estimated_step_error", 32, estimated_step_error, 32,""), if estimated_step_error < est_needed_step_err then ( omniout_str(always, "Double H and LOOP"), glob_h:glob_h*glob__2) else ( omniout_str(always, "Found H for OPTIMAL"), found_h:true,glob_h_reason:3, glob_h:glob_h/glob__2)), opt_iter:1+opt_iter), if not found_h and opt_iter = 1 then (omniout_str(always, "Beginning glob_h too large."), found_h:false), if glob_check_sign*glob_max_h <= glob_check_sign*glob_h then (omniout_str(always, "SETTING H FOR MAX H"), glob_h:glob_check_sign*abs(glob_max_h), glob_h_reason:1,found_h:true)) else (found_h:true,glob_h:glob_h*glob_check_sign), if glob_html_log then html_log_file:openw("entry.html"), if found_h then (omniout_str(always,"START of Soultion"), array_x[1]:c(x_start),array_x[2]:c(glob_h), glob_next_display:c(x_start), glob_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float,order_diff:1, term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no), r_order:1+r_order),current_iter:1, glob_clock_start_sec:elapsed_time_seconds(), glob_clock_sec:elapsed_time_seconds(),glob_iter:0, omniout_str(debugl," "), glob_reached_optimal_h:true, glob_optimal_clock_start_sec :elapsed_time_seconds(), while glob_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and glob_clock_sec-glob_orig_start_sec < glob_max_sec do (if reached_interval() then (omniout_str(info," "), omniout_str(info, "TOP MAIN SOLVE Loop")), glob_iter:1+glob_iter, glob_clock_sec:elapsed_time_seconds(), track_estimated_error(),atomall(), track_estimated_error(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display :glob_display_interval +glob_next_display, array_x[1]:glob_h+array_x[1], array_x[2]:glob_h,order_diff:2,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[2,iii] :array_y_higher[2,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)), term_no:ats_max_terms, while term_no >= 1 do ( array_y[term_no] :array_y_higher_work2[1,term_no], ord:1, while ord <= order_diff do ( array_y_higher[ord,term_no] :array_y_higher_work2[ ord,term_no],ord:1+ord), term_no:term_no-1)), omniout_str(always,"Finished!"), if glob_iter >= glob_max_iter then omniout_str(always, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds()-glob_orig_start_sec >= glob_max_sec then omniout_str(always, "Maximum Time Reached before Solution Completed!"), glob_clock_sec:elapsed_time_seconds(), omniout_str(info, "diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; "), omniout_int(info, "Iterations ",32, glob_iter,4," "), prog_report(x_start,x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2015-04-24T23:03:56-05:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "sing1_back"), logitem_str(html_log_file, "diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; "), logitem_float(html_log_file,x_start), logitem_float(html_log_file,x_end), logitem_float(html_log_file,array_x[1]), logitem_float(html_log_file,glob_h), logitem_h_reason(html_log_file), logitem_str(html_log_file,"16"), logitem_float(html_log_file, glob_desired_digits_correct), if array_est_digits[1] # -16 then ( logitem_integer(html_log_file, array_est_digits[ 1]),0) else ( logitem_str(html_log_file, "Unknown"),0), if glob_min_good_digits # -16 then ( logitem_integer(html_log_file, glob_min_good_digits), 0) else ( logitem_str(html_log_file, "Unknown"),0), if glob_good_digits # -16 then ( logitem_integer(html_log_file, glob_good_digits),0) else ( logitem_str(html_log_file, "Unknown"),0), logitem_str(html_log_file,"NA"), logitem_str(html_log_file,"NA"), logitem_integer(html_log_file, ats_max_terms), if glob_type_given_pole = 0 then ( logitem_str(html_log_file, "Not Given"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 4 then ( logitem_str(html_log_file, "No Solution"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 5 then ( logitem_str(html_log_file, "Some Pole"), logitem_str(html_log_file,"????"),0) elseif glob_type_given_pole = 3 then ( logitem_str(html_log_file, "No Pole"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 1 then ( logitem_str(html_log_file, "Real Sing"), logitem_float(html_log_file, glob_least_given_sing), 0) elseif glob_type_given_pole = 2 then ( logitem_str(html_log_file, "Complex Sing"), logitem_float(html_log_file, glob_least_given_sing), 0), if glob_least_ratio_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_ratio_sing), 0) else ( logitem_str(html_log_file,"NONE"),0), if glob_least_3_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_3_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), if glob_least_6_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_6_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, glob_clock_sec), if c(glob_percent_done) < glob__100 then ( logitem_time(html_log_file, glob_total_exp_sec),0) else ( logitem_str(html_log_file,"Done"), 0), log_revs(html_log_file, " 308.maple.seems.ok "), logitem_str(html_log_file, "sing1_back diffeq.max"), logitem_str(html_log_file, "sing1_back maxima results"), logitem_str(html_log_file,"OK"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i257) main():=(glob_iolevel:2,compile(all),main_prog()) (%i258) main() warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable secs in translation. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable sec_temp in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable years_int in translation. warning: encountered undefined variable days_int in translation. warning: encountered undefined variable hours_int in translation. warning: encountered undefined variable minutes_int in translation. warning: encountered undefined variable sec_int in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable iii in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable iii_ats in translation. warning: encountered undefined variable ma_ats in translation. warning: encountered undefined variable ret_ats in translation. warning: encountered undefined variable lll_ats in translation. warning: encountered undefined variable ats_max_terms in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable iii_att in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable ma_att in translation. warning: encountered undefined variable lll_att in translation. warning: encountered undefined variable ret_att in translation. warning: encountered undefined variable al_att in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_h_reason in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable errflag in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable sub1 in translation. warning: encountered undefined variable sub2 in translation. warning: encountered undefined variable rrr in translation. warning: encountered undefined variable ms2 in translation. warning: encountered undefined variable sec_left in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable glob_small_float in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ret in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob__m2 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temp in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob__4 in translation. warning: encountered undefined variable glob__3 in translation. warning: encountered undefined variable glob__2 in translation. warning: encountered undefined variable rm0 in translation. warning: encountered undefined variable glob__2 in translation. warning: encountered undefined variable rm1 in translation. warning: encountered undefined variable rm2 in translation. warning: encountered undefined variable rm3 in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable rm4 in translation. warning: encountered undefined variable glob__3 in translation. warning: encountered undefined variable glob__8 in translation. warning: encountered undefined variable glob__5 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable nr1 in translation. warning: encountered undefined variable dr2 in translation. warning: encountered undefined variable nr2 in translation. warning: encountered undefined variable dr1 in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable ds1 in translation. warning: encountered undefined variable ds2 in translation. warning: encountered undefined variable rcs in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable ord_no in translation. warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any. warning: encountered undefined variable rad_c in translation. warning: encountered undefined variable glob_six_term_ord_save in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_fact_2 in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob_log_10 in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob__10 in translation. warning: encountered undefined variable ats_max_terms in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_x in translation. warning: encountered undefined variable array_given_rad_poles in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable rad_given in translation. warning: encountered undefined variable array_given_ord_poles in translation. warning: variable glob_least_given_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable array_rad_test_poles in translation. warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable array_ord_test_poles in translation. warning: encountered undefined variable glob_large_float in translation. warning: variable glob_least_3_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob__small in translation. warning: variable glob_least_6_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob_estimated_size_answer in translation. warning: encountered undefined variable array_y in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob__small in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0_5 in translation. warning: encountered undefined variable glob__0_25 in translation. warning: encountered undefined variable glob__0_125 in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0_5 in translation. warning: encountered undefined variable glob__0_25 in translation. warning: encountered undefined variable glob__0_125 in translation. warning: encountered undefined variable glob_prec in translation. warning: encountered undefined variable array_max_est_error in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_next_display in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__10 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable always in translation. warning: encountered undefined variable ind_var in translation. warning: encountered undefined variable closed_form_val_y in translation. warning: encountered undefined variable term_no in translation. warning: encountered undefined variable numeric_val in translation. warning: encountered undefined variable abserr in translation. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable relerr in translation. warning: variable glob_good_digits (declared type fixnum) assigned type any. warning: encountered undefined variable glob_prec in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_apfp_est_good_digits in translation. warning: encountered undefined variable glob_min_apfp_est_good_digits in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable est_rel_err in translation. warning: variable glob_est_digits (declared type fixnum) assigned type any. warning: encountered undefined variable glob_est_digits in translation. warning: encountered undefined variable array_est_digits in translation. warning: encountered undefined variable array_1st_rel_error in translation. warning: encountered undefined variable array_last_rel_error in translation. warning: encountered undefined variable array_est_rel_error in translation. warning: encountered undefined variable info in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable clock_sec1 in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_clock_start_sec in translation. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_optimal_clock_start_sec in translation. warning: encountered undefined variable opt_clock_sec in translation. warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_optimal_expect_sec in translation. warning: encountered undefined variable total_clock_sec in translation. warning: variable glob_total_exp_sec (declared type convfloat) assigned type any. warning: encountered undefined variable percent_done in translation. warning: variable glob_percent_done (declared type convfloat) assigned type any. warning: encountered undefined variable info in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable expect_sec in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable left_sec in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable last_no in translation. warning: encountered undefined variable found_sing in translation. warning: encountered undefined variable array_y_higher in translation. warning: variable tmp_rad (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_rad in translation. warning: encountered undefined variable prev_tmp_rad in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable cnt in translation. warning: encountered undefined variable tmp_ratio in translation. warning: encountered undefined variable glob_upper_ratio_limit in translation. warning: encountered undefined variable glob_lower_ratio_limit in translation. warning: variable tmp_ord (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_ord in translation. warning: encountered undefined variable glob_min_pole_est in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_ratio_of_radius in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable h_new in translation. warning: variable ratio (declared type convfloat) assigned type any. warning: encountered undefined variable term in translation. warning: encountered undefined variable ratio in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_const_2D0 in translation. warning: encountered undefined variable array_tmp1 in translation. warning: encountered undefined variable array_tmp2 in translation. warning: encountered undefined variable array_tmp3 in translation. warning: encountered undefined variable array_const_0D000001 in translation. warning: encountered undefined variable array_tmp4 in translation. warning: encountered undefined variable array_tmp5 in translation. warning: encountered undefined variable array_tmp6 in translation. warning: encountered undefined variable array_tmp7 in translation. warning: encountered undefined variable array_tmp8 in translation. warning: encountered undefined variable array_const_0D0 in translation. warning: encountered undefined variable array_tmp9 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temporary in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable array_y_set_initial in translation. warning: encountered undefined variable kkk in translation. warning: encountered undefined variable order_d in translation. warning: encountered undefined variable adj3 in translation. warning: encountered undefined variable adj2 in translation. modedeclare: [found_h] is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: variable term (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable array_y_init in translation. warning: variable term (declared type [found_h]) assigned type any. warning: encountered undefined variable array_norms in translation. warning: encountered undefined variable array_fact_1 in translation. warning: encountered undefined variable array_type_pole in translation. warning: encountered undefined variable array_type_real_pole in translation. warning: encountered undefined variable array_type_complex_pole in translation. warning: encountered undefined variable array_tmp0 in translation. warning: encountered undefined variable array_m1 in translation. warning: variable ord (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable ord in translation. warning: variable ord (declared type [found_h]) assigned type any. warning: encountered undefined variable array_y_higher_work in translation. warning: encountered undefined variable array_y_higher_work2 in translation. warning: encountered undefined variable array_const_1 in translation. warning: encountered undefined variable glob__m1 in translation. warning: variable iiif (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable iiif in translation. warning: encountered undefined variable ats_max_terms in translation. warning: variable jjjf (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable jjjf in translation. warning: variable jjjf (declared type [found_h]) assigned type any. warning: variable iiif (declared type [found_h]) assigned type any. warning: variable glob_orig_start_sec (declared type convfloat) assigned type any. warning: variable opt_iter (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob__0 in translation. warning: variable glob_large_float (declared type convfloat) assigned type any. warning: variable glob_larger_float (declared type convfloat) assigned type any. warning: variable glob_almost_1 (declared type convfloat) assigned type any. warning: variable x_start (declared type [found_h]) assigned type any. warning: variable x_end (declared type [found_h]) assigned type any. warning: encountered undefined variable x_start in translation. warning: variable glob_max_h (declared type convfloat) assigned type any. warning: variable glob_upper_ratio_limit (declared type convfloat) assigned type any. warning: variable glob_lower_ratio_limit (declared type convfloat) assigned type any. warning: variable glob_h (declared type convfloat) assigned type any. warning: variable glob_display_interval (declared type convfloat) assigned type any. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_max_minutes in translation. warning: encountered undefined variable glob_max_hours in translation. warning: encountered undefined variable x_end in translation. warning: variable glob_check_sign (declared type convfloat) assigned type any. warning: encountered undefined variable glob_larger_float in translation. warning: variable last_min_pole_est (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_max_h in translation. warning: encountered undefined variable glob_display_interval in translation. warning: encountered undefined variable glob__10 in translation. warning: variable display_max (declared type [found_h]) assigned type any. warning: encountered undefined variable display_max in translation. warning: variable min_value (declared type [found_h]) assigned type convfloat. warning: variable est_answer (declared type [found_h]) assigned type any. warning: encountered undefined variable est_answer in translation. warning: variable est_needed_step_err (declared type [found_h]) assigned type any. warning: encountered undefined variable est_needed_step_err in translation. warning: encountered undefined variable glob_small_float in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable opt_iter in translation. warning: encountered undefined variable found_h in translation. warning: variable glob_next_display (declared type convfloat) assigned type any. warning: variable order_diff (declared type [found_h]) assigned type fixnum. warning: variable term_no (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable order_diff in translation. warning: variable term_no (declared type [found_h]) assigned type any. warning: variable r_order (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable r_order in translation. warning: encountered undefined variable rows in translation. warning: variable it (declared type [found_h]) assigned type any. warning: encountered undefined variable it in translation. warning: variable r_order (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_look_poles in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type any. warning: encountered undefined variable estimated_step_error in translation. warning: encountered undefined variable glob__2 in translation. warning: variable opt_iter (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_optimize in translation. warning: variable html_log_file (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_html_log in translation. warning: variable current_iter (declared type [found_h]) assigned type fixnum. warning: variable glob_clock_start_sec (declared type convfloat) assigned type any. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable debugl in translation. warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable info in translation. warning: encountered undefined variable current_iter in translation. warning: encountered undefined variable glob_next_display in translation. warning: variable calc_term (declared type [found_h]) assigned type fixnum. warning: variable iii (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable calc_term in translation. warning: variable iii (declared type [found_h]) assigned type any. warning: variable temp_sum (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable temp_sum in translation. warning: variable temp_sum (declared type [found_h]) assigned type any. warning: encountered undefined variable html_log_file in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob_percent_done in translation. warning: encountered undefined variable glob__100 in translation. WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB__PI is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $LAST_MIN_POLE_EST is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_REACHED_OPTIMAL_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. "##############ECHO OF PROBLEM#################" "##############temp/sing1_backpostode.ode#################" "diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:20," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:c(-1.5)," "x_end:c(-2.0)," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_h:c(0.1)," "" "" "" "" "" "" "" "glob_type_given_pole:2," "" "array_given_rad_poles[1,1]:c(0.0)," "" "array_given_rad_poles[1,2]:c(0.001)," "" "array_given_ord_poles[1,1]:c(1.0)," "" "array_given_ord_poles[1,2]:c(0.0)," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:8," "glob_max_minutes:(3.0)," "glob_subiter_method:3," "glob_max_iter:100000," "glob_upper_ratio_limit:c(1.000001)," "glob_lower_ratio_limit:c(0.999999)," "glob_look_poles:false," "glob_h:c(0.001)," "glob_display_interval:c(0.01)," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" "" " (c(1.0) / (c(x) * c(x) + c(0.000001))) " "));" "" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = -1.501 " " y[1] (closed_form) = 0.44385224691322955 " " y[1] (numeric) = 0.44385224691322955 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 15 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5019999999999998 " " y[1] (closed_form) = 0.44326142894186854 " " y[1] (numeric) = 0.4432614289418685 " " absolute error = 5.55111512312578300000000000000000E-17 " " relative error = 1.252334347334738000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5029999999999997 " " y[1] (closed_form) = 0.4426717898548481 " " y[1] (numeric) = 0.44267178985484795 " " absolute error = 1.66533453693773480000000000000000E-16 " " relative error = 3.76200737228771060000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5039999999999996 " " y[1] (closed_form) = 0.4420833265178823 " " y[1] (numeric) = 0.44208332651788207 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 5.022686710987042000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5049999999999994 " " y[1] (closed_form) = 0.4414960358070948 " " y[1] (numeric) = 0.4414960358070945 " " absolute error = 2.77555756156289140000000000000000E-16 " " relative error = 6.28671004143654500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5059999999999993 " " y[1] (closed_form) = 0.44090991460897716 " " y[1] (numeric) = 0.4409099146089769 " " absolute error = 2.77555756156289140000000000000000E-16 " " relative error = 6.29506724525441100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5069999999999992 " " y[1] (closed_form) = 0.4403249598203478 " " y[1] (numeric) = 0.4403249598203475 " " absolute error = 3.33066907387546960000000000000000E-16 " " relative error = 7.56411600022487900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5079999999999991 " " y[1] (closed_form) = 0.4397411683483107 " " y[1] (numeric) = 0.43974116834831023 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 1.00988772899768170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.508999999999999 " " y[1] (closed_form) = 0.43915853711021446 " " y[1] (numeric) = 0.4391585371102139 " " absolute error = 5.5511151231257830000000000000000E-16 " " relative error = 1.26403443267974870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.509999999999999 " " y[1] (closed_form) = 0.4385770630336119 " " y[1] (numeric) = 0.43857706303361127 " " absolute error = 6.1062266354383610000000000000000E-16 " " relative error = 1.39228134576896230000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5109999999999988 " " y[1] (closed_form) = 0.4379967430562193 " " y[1] (numeric) = 0.43799674305621866 " " absolute error = 6.1062266354383610000000000000000E-16 " " relative error = 1.3941260368355280000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5119999999999987 " " y[1] (closed_form) = 0.43741757412587634 " " y[1] (numeric) = 0.4374175741258757 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 1.52287848997900460000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5129999999999986 " " y[1] (closed_form) = 0.43683955320050577 " " y[1] (numeric) = 0.436839553200505 " " absolute error = 7.7715611723760960000000000000000E-16 " " relative error = 1.77904246889681570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5139999999999985 " " y[1] (closed_form) = 0.4362626772480734 " " y[1] (numeric) = 0.4362626772480725 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 2.03587990910136380000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5149999999999983 " " y[1] (closed_form) = 0.43568694324654833 " " y[1] (numeric) = 0.4356869432465474 " " absolute error = 9.436895709313831000000000000000E-16 " " relative error = 2.165980839130550200000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5159999999999982 " " y[1] (closed_form) = 0.43511234818386385 " " y[1] (numeric) = 0.4351123481838628 " " absolute error = 1.0547118733938987000000000000000E-15 " " relative error = 2.4239989460106360000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5169999999999981 " " y[1] (closed_form) = 0.4345388890578773 " " y[1] (numeric) = 0.4345388890578762 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 2.55494514433962040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.517999999999998 " " y[1] (closed_form) = 0.43396656287633145 " " y[1] (numeric) = 0.43396656287633034 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 2.55831467121935800000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.518999999999998 " " y[1] (closed_form) = 0.43339536665681533 " " y[1] (numeric) = 0.4333953666568141 " " absolute error = 1.2212453270876722000000000000000E-15 " " relative error = 2.8178550603996577000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5199999999999978 " " y[1] (closed_form) = 0.432825297426725 " " y[1] (numeric) = 0.4328252974267237 " " absolute error = 1.27675647831893000000000000000E-15 " " relative error = 2.9498194442645260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5209999999999977 " " y[1] (closed_form) = 0.4322563522232254 " " y[1] (numeric) = 0.43225635222322406 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 3.08212388944183700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5219999999999976 " " y[1] (closed_form) = 0.43168852809321157 " " y[1] (numeric) = 0.4316885280932101 " " absolute error = 1.4432899320127035000000000000000E-15 " " relative error = 3.3433594781584370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5229999999999975 " " y[1] (closed_form) = 0.4311218220932703 " " y[1] (numeric) = 0.4311218220932688 " " absolute error = 1.4988010832439613000000000000000E-15 " " relative error = 3.4765140766168540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5239999999999974 " " y[1] (closed_form) = 0.43055623128964227 " " y[1] (numeric) = 0.4305562312896407 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 3.61000984661073900000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5249999999999972 " " y[1] (closed_form) = 0.42999175275818363 " " y[1] (numeric) = 0.429991752758182 " " absolute error = 1.609823385706477000000000000000E-15 " " relative error = 3.7438471212069980000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5259999999999971 " " y[1] (closed_form) = 0.42942838358432867 " " y[1] (numeric) = 0.429428383584327 " " absolute error = 1.6653345369377348000000000000000E-15 " " relative error = 3.87802623347253900000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.526999999999997 " " y[1] (closed_form) = 0.4288661208630518 " " y[1] (numeric) = 0.4288661208630501 " " absolute error = 1.7208456881689926000000000000000E-15 " " relative error = 4.01254751647426970000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.527999999999997 " " y[1] (closed_form) = 0.4283049616988305 " " y[1] (numeric) = 0.4283049616988287 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 4.14741130327909770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5289999999999968 " " y[1] (closed_form) = 0.4277449032056076 " " y[1] (numeric) = 0.42774490320560576 " " absolute error = 1.8318679906315083000000000000000E-15 " " relative error = 4.2826179269539290000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5299999999999967 " " y[1] (closed_form) = 0.42718594250675457 " " y[1] (numeric) = 0.4271859425067526 " " absolute error = 1.942890293094024000000000000000E-15 " " relative error = 4.5481138299940740000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5309999999999966 " " y[1] (closed_form) = 0.4266280767350343 " " y[1] (numeric) = 0.4266280767350323 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 4.6841770462435556000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5319999999999965 " " y[1] (closed_form) = 0.42607130303256446 " " y[1] (numeric) = 0.42607130303256235 " " absolute error = 2.1094237467877974000000000000000E-15 " " relative error = 4.9508702693046080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5329999999999964 " " y[1] (closed_form) = 0.42551561855078085 " " y[1] (numeric) = 0.42551561855077874 " " absolute error = 2.1094237467877974000000000000000E-15 " " relative error = 4.9573356530885120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5339999999999963 " " y[1] (closed_form) = 0.4249610204504012 " " y[1] (numeric) = 0.424961020450399 " " absolute error = 2.1649348980190553000000000000000E-15 " " relative error = 5.0944317098178020000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5349999999999961 " " y[1] (closed_form) = 0.4244075059013885 " " y[1] (numeric) = 0.4244075059013862 " " absolute error = 2.275957200481571000000000000000E-15 " " relative error = 5.3626695306618630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.535999999999996 " " y[1] (closed_form) = 0.423855072082915 " " y[1] (numeric) = 0.4238550720829127 " " absolute error = 2.3314683517128287000000000000000E-15 " " relative error = 5.5006262877909930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.536999999999996 " " y[1] (closed_form) = 0.42330371618332663 " " y[1] (numeric) = 0.4233037161833242 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 5.7700666467041780000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5379999999999958 " " y[1] (closed_form) = 0.4227534354001067 " " y[1] (numeric) = 0.42275343540010424 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 5.7775773054657660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5389999999999957 " " y[1] (closed_form) = 0.4222042269398407 " " y[1] (numeric) = 0.4222042269398382 " " absolute error = 2.4980018054066022000000000000000E-15 " " relative error = 5.9165722321452240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5399999999999956 " " y[1] (closed_form) = 0.4216560880181808 " " y[1] (numeric) = 0.4216560880181782 " " absolute error = 2.55351295663786000000000000000E-15 " " relative error = 6.0559138814752710000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5409999999999955 " " y[1] (closed_form) = 0.4211090158598102 " " y[1] (numeric) = 0.42110901585980753 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 6.3274239181509620000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5419999999999954 " " y[1] (closed_form) = 0.4205630076984083 " " y[1] (numeric) = 0.42056300769840566 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 6.3356386803547670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5429999999999953 " " y[1] (closed_form) = 0.42001806077661596 " " y[1] (numeric) = 0.4200180607766132 " " absolute error = 2.7755575615628914000000000000000E-15 " " relative error = 6.6081862204469700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5439999999999952 " " y[1] (closed_form) = 0.419474172346 " " y[1] (numeric) = 0.4194741723459972 " " absolute error = 2.7755575615628914000000000000000E-15 " " relative error = 6.6167543666395130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.544999999999995 " " y[1] (closed_form) = 0.41893133966701923 " " y[1] (numeric) = 0.4189313396670164 " " absolute error = 2.831068712794149000000000000000E-15 " " relative error = 6.7578346252261250000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.545999999999995 " " y[1] (closed_form) = 0.41838956000898975 " " y[1] (numeric) = 0.4183895600089868 " " absolute error = 2.942091015256665000000000000000E-15 " " relative error = 7.0319417511121680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5469999999999948 " " y[1] (closed_form) = 0.4178488306500502 " " y[1] (numeric) = 0.41784883065004724 " " absolute error = 2.942091015256665000000000000000E-15 " " relative error = 7.0410416386223570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5479999999999947 " " y[1] (closed_form) = 0.4173091488771282 " " y[1] (numeric) = 0.4173091488771252 " " absolute error = 2.9976021664879227000000000000000E-15 " " relative error = 7.1831690595657940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5489999999999946 " " y[1] (closed_form) = 0.41677051198590603 " " y[1] (numeric) = 0.416770511985903 " " absolute error = 3.0531133177191805000000000000000E-15 " " relative error = 7.3256462007619860000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5499999999999945 " " y[1] (closed_form) = 0.4162329172807866 " " y[1] (numeric) = 0.4162329172807835 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 7.4684733952778450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5509999999999944 " " y[1] (closed_form) = 0.41569636207485994 " " y[1] (numeric) = 0.4156963620748568 " " absolute error = 3.164135620181696000000000000000E-15 " " relative error = 7.6116509761802740000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5519999999999943 " " y[1] (closed_form) = 0.41516084368986955 " " y[1] (numeric) = 0.4151608436898664 " " absolute error = 3.164135620181696000000000000000E-15 " " relative error = 7.6214692890096970000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5529999999999942 " " y[1] (closed_form) = 0.4146263594561792 " " y[1] (numeric) = 0.4146263594561759 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 8.0329409790635360000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.553999999999994 " " y[1] (closed_form) = 0.414092906712739 " " y[1] (numeric) = 0.4140929067127357 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 8.0432893678760680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.554999999999994 " " y[1] (closed_form) = 0.41356048280705326 " " y[1] (numeric) = 0.4135604828070498 " " absolute error = 3.4416913763379850000000000000000E-15 " " relative error = 8.3220992319609680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5559999999999938 " " y[1] (closed_form) = 0.4130290850951466 " " y[1] (numeric) = 0.4130290850951431 " " absolute error = 3.497202527569243000000000000000E-15 " " relative error = 8.4672064359913480000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5569999999999937 " " y[1] (closed_form) = 0.41249871094153157 " " y[1] (numeric) = 0.41249871094152807 " " absolute error = 3.497202527569243000000000000000E-15 " " relative error = 8.478093227459670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5579999999999936 " " y[1] (closed_form) = 0.41196935771917614 " " y[1] (numeric) = 0.4119693577191726 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 8.6237328389415080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5589999999999935 " " y[1] (closed_form) = 0.4114410228094708 " " y[1] (numeric) = 0.41144102280946715 " " absolute error = 3.6637359812630166000000000000000E-15 " " relative error = 8.9046443552120260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5599999999999934 " " y[1] (closed_form) = 0.41091370360219626 " " y[1] (numeric) = 0.41091370360219254 " " absolute error = 3.7192471324942744000000000000000E-15 " " relative error = 9.0511635408851220000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5609999999999933 " " y[1] (closed_form) = 0.4103873974954913 " " y[1] (numeric) = 0.4103873974954875 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 9.1980365546361690000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5619999999999932 " " y[1] (closed_form) = 0.40986210189582073 " " y[1] (numeric) = 0.4098621018958169 " " absolute error = 3.83026943495679000000000000000E-15 " " relative error = 9.3452637295320680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.562999999999993 " " y[1] (closed_form) = 0.40933781421794324 " " y[1] (numeric) = 0.40933781421793936 " " absolute error = 3.885780586188048000000000000000E-15 " " relative error = 9.4928453986397310000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.563999999999993 " " y[1] (closed_form) = 0.4088145318848798 " " y[1] (numeric) = 0.4088145318848759 " " absolute error = 3.941291737419305700000000000000E-15 " " relative error = 9.6407818950260650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5649999999999928 " " y[1] (closed_form) = 0.408292252327882 " " y[1] (numeric) = 0.40829225232787797 " " absolute error = 4.052314039881821400000000000000E-15 " " relative error = 9.9250329066435030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5659999999999927 " " y[1] (closed_form) = 0.4077709729864001 " " y[1] (numeric) = 0.40777097298639603 " " absolute error = 4.052314039881821400000000000000E-15 " " relative error = 9.9377207019023730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5669999999999926 " " y[1] (closed_form) = 0.4072506913080523 " " y[1] (numeric) = 0.40725069130804814 " " absolute error = 4.163336342344337000000000000000E-15 " " relative error = 1.0223030755263000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5679999999999925 " " y[1] (closed_form) = 0.40673140474859304 " " y[1] (numeric) = 0.40673140474858877 " " absolute error = 4.274358644806852700000000000000E-15 " " relative error = 1.0509045023088148000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5689999999999924 " " y[1] (closed_form) = 0.40621311077188194 " " y[1] (numeric) = 0.40621311077187766 " " absolute error = 4.274358644806852700000000000000E-15 " " relative error = 1.0522453686156906000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5699999999999923 " " y[1] (closed_form) = 0.4056958068498531 " " y[1] (numeric) = 0.4056958068498488 " " absolute error = 4.3298697960381105000000000000000E-15 " " relative error = 1.067270039012403000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5709999999999922 " " y[1] (closed_form) = 0.40517949046248397 " " y[1] (numeric) = 0.40517949046247964 " " absolute error = 4.3298697960381105000000000000000E-15 " " relative error = 1.0686300511153385000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.571999999999992 " " y[1] (closed_form) = 0.4046641590977648 " " y[1] (numeric) = 0.40466415909776043 " " absolute error = 4.385380947269368300000000000000E-15 " " relative error = 1.0837087616177747000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.572999999999992 " " y[1] (closed_form) = 0.4041498102516682 " " y[1] (numeric) = 0.40414981025166374 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.0988232546082943000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5739999999999919 " " y[1] (closed_form) = 0.4036364414281183 " " y[1] (numeric) = 0.40363644142811383 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 1.1002208033516922000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5749999999999917 " " y[1] (closed_form) = 0.403124050138961 " " y[1] (numeric) = 0.4031240501389565 " " absolute error = 4.496403249731884000000000000000E-15 " " relative error = 1.1153894807769289000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5759999999999916 " " y[1] (closed_form) = 0.40261263390393365 " " y[1] (numeric) = 0.40261263390392904 " " absolute error = 4.6074255521943996000000000000E-15 " " relative error = 1.1443817615752627000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5769999999999915 " " y[1] (closed_form) = 0.4021021902506346 " " y[1] (numeric) = 0.40210219025062993 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 1.1596397175850247000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5779999999999914 " " y[1] (closed_form) = 0.40159271671449404 " " y[1] (numeric) = 0.4015927167144893 " " absolute error = 4.718447854656915300000000000000E-15 " " relative error = 1.1749336226163237000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5789999999999913 " " y[1] (closed_form) = 0.4010842108387436 " " y[1] (numeric) = 0.4010842108387389 " " absolute error = 4.718447854656915300000000000000E-15 " " relative error = 1.1764232366040388000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5799999999999912 " " y[1] (closed_form) = 0.40057667017438753 " " y[1] (numeric) = 0.40057667017438264 " " absolute error = 4.884981308350689000000000000000E-15 " " relative error = 1.2194872223147832000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.580999999999991 " " y[1] (closed_form) = 0.40007009228017193 " " y[1] (numeric) = 0.4000700922801671 " " absolute error = 4.829470157119431000000000000000E-15 " " relative error = 1.2071560084869623000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.581999999999991 " " y[1] (closed_form) = 0.39956447472255696 " " y[1] (numeric) = 0.399564474722552 " " absolute error = 4.9404924595819466000000000000000E-15 " " relative error = 1.2364693990907087000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5829999999999909 " " y[1] (closed_form) = 0.3990598150756863 " " y[1] (numeric) = 0.3990598150756813 " " absolute error = 4.9960036108132044000000000000000E-15 " " relative error = 1.2519435488300557000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5839999999999907 " " y[1] (closed_form) = 0.39855611092135873 " " y[1] (numeric) = 0.3985561109213537 " " absolute error = 5.051514762044462000000000000000E-15 " " relative error = 1.2674538474310845000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5849999999999906 " " y[1] (closed_form) = 0.3980533598489992 " " y[1] (numeric) = 0.39805335984899404 " " absolute error = 5.162537064506978000000000000000E-15 " " relative error = 1.2969459839417952000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5859999999999905 " " y[1] (closed_form) = 0.3975515594556295 " " y[1] (numeric) = 0.39755155945562426 " " absolute error = 5.218048215738236000000000000000E-15 " " relative error = 1.3125462827723156000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5869999999999904 " " y[1] (closed_form) = 0.3970507073458399 " " y[1] (numeric) = 0.3970507073458347 " " absolute error = 5.218048215738236000000000000000E-15 " " relative error = 1.3142019694711690000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5879999999999903 " " y[1] (closed_form) = 0.3965508011317608 " " y[1] (numeric) = 0.39655080113175556 " " absolute error = 5.218048215738236000000000000000E-15 " " relative error = 1.3158586997796660000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5889999999999902 " " y[1] (closed_form) = 0.39605183843303365 " " y[1] (numeric) = 0.3960518384330284 " " absolute error = 5.2735593669694940000000000000000E-15 " " relative error = 1.3315326063967184000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.58999999999999 " " y[1] (closed_form) = 0.3955538168767832 " " y[1] (numeric) = 0.3955538168767778 " " absolute error = 5.384581669432009000000000000000E-15 " " relative error = 1.3612766303072563000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.59099999999999 " " y[1] (closed_form) = 0.39505673409758874 " " y[1] (numeric) = 0.3950567340975833 " " absolute error = 5.440092820663267000000000000000E-15 " " relative error = 1.3770409035273984000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5919999999999899 " " y[1] (closed_form) = 0.3945605877374565 " " y[1] (numeric) = 0.394560587737451 " " absolute error = 5.495603971894525000000000000000E-15 " " relative error = 1.3928415920627482000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5929999999999898 " " y[1] (closed_form) = 0.3940653754457915 " " y[1] (numeric) = 0.39406537544578596 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 1.408678729219996200000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5939999999999896 " " y[1] (closed_form) = 0.3935710948793697 " " y[1] (numeric) = 0.39357109487936404 " " absolute error = 5.662137425588298000000000000000E-15 " " relative error = 1.4386568270019310000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5949999999999895 " " y[1] (closed_form) = 0.3930777437023101 " " y[1] (numeric) = 0.3930777437023044 " " absolute error = 5.662137425588298000000000000000E-15 " " relative error = 1.440462482626951000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5959999999999894 " " y[1] (closed_form) = 0.3925853195860475 " " y[1] (numeric) = 0.3925853195860418 " " absolute error = 5.662137425588298000000000000000E-15 " " relative error = 1.442269270679456000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5969999999999893 " " y[1] (closed_form) = 0.3920938202093049 " " y[1] (numeric) = 0.39209382020929917 " " absolute error = 5.717648576819556000000000000000E-15 " " relative error = 1.4582348106806173000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5979999999999892 " " y[1] (closed_form) = 0.39160324325806595 " " y[1] (numeric) = 0.3916032432580601 " " absolute error = 5.828670879282072000000000000000E-15 " " relative error = 1.4884123100688892000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.598999999999989 " " y[1] (closed_form) = 0.3911135864255479 " " y[1] (numeric) = 0.391113586425542 " " absolute error = 5.88418203051333000000000000000E-15 " " relative error = 1.5044688383980337000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.599999999999989 " " y[1] (closed_form) = 0.3906248474121743 " " y[1] (numeric) = 0.39062484741216846 " " absolute error = 5.828670879282072000000000000000E-15 " " relative error = 1.492140327963278000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6009999999999889 " " y[1] (closed_form) = 0.39013702392554855 " " y[1] (numeric) = 0.3901370239255426 " " absolute error = 5.9396931817445870000000000000000E-15 " " relative error = 1.522463344283388000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6019999999999888 " " y[1] (closed_form) = 0.3896501136804261 " " y[1] (numeric) = 0.38965011368042013 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 1.538612237617066000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6029999999999887 " " y[1] (closed_form) = 0.38916411439868853 " " y[1] (numeric) = 0.38916411439868254 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 1.5405337006057845000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6039999999999885 " " y[1] (closed_form) = 0.3886790238093165 " " y[1] (numeric) = 0.3886790238093104 " " absolute error = 6.106226635438361000000000000000E-15 " " relative error = 1.5710203693508393000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6049999999999884 " " y[1] (closed_form) = 0.3881948396483632 " " y[1] (numeric) = 0.38819483964835705 " " absolute error = 6.161737786669619000000000000000E-15 " " relative error = 1.5872796743643160000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6059999999999883 " " y[1] (closed_form) = 0.387711559658928 " " y[1] (numeric) = 0.38771155965892184 " " absolute error = 6.161737786669619000000000000000E-15 " " relative error = 1.5892582083676157000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6069999999999882 " " y[1] (closed_form) = 0.38722918159113034 " " y[1] (numeric) = 0.3872291815911241 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.6055734519681886000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.607999999999988 " " y[1] (closed_form) = 0.3867477032020833 " " y[1] (numeric) = 0.386747703202077 " " absolute error = 6.2727600891321340000000000000000E-15 " " relative error = 1.62192562158656020000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.608999999999988 " " y[1] (closed_form) = 0.3862671222558675 " " y[1] (numeric) = 0.3862671222558612 " " absolute error = 6.328271240363392000000000000000E-15 " " relative error = 1.6383147505294215000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6099999999999879 " " y[1] (closed_form) = 0.3857874365235055 " " y[1] (numeric) = 0.38578743652349906 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 1.6691299231652326000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6109999999999878 " " y[1] (closed_form) = 0.3853086437829353 " " y[1] (numeric) = 0.38530864378292884 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 1.6712040196153768000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6119999999999877 " " y[1] (closed_form) = 0.3848307418189853 " " y[1] (numeric) = 0.38483074181897886 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 1.6732794039242294000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6129999999999876 " " y[1] (closed_form) = 0.3843537284233485 " " y[1] (numeric) = 0.384353728423342 " " absolute error = 6.494804694057166000000000000000E-15 " " relative error = 1.6897988008856854000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6139999999999874 " " y[1] (closed_form) = 0.3838776013945565 " " y[1] (numeric) = 0.38387760139454996 " " absolute error = 6.5503158452884240000000000000000E-15 " " relative error = 1.7063553126028544000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6149999999999873 " " y[1] (closed_form) = 0.3834023585379548 " " y[1] (numeric) = 0.3834023585379482 " " absolute error = 6.6058269965196810000000000000000E-15 " " relative error = 1.7229489723824273000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6159999999999872 " " y[1] (closed_form) = 0.382927997665677 " " y[1] (numeric) = 0.3829279976656703 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 1.739579813531095000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6169999999999871 " " y[1] (closed_form) = 0.3824545165966198 " " y[1] (numeric) = 0.3824545165966131 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 1.7417334241542629000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.617999999999987 " " y[1] (closed_form) = 0.3819819131564182 " " y[1] (numeric) = 0.3819819131564114 " " absolute error = 6.827871601444713000000000000000E-15 " " relative error = 1.7874855762211860000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.618999999999987 " " y[1] (closed_form) = 0.3815101851774198 " " y[1] (numeric) = 0.38151018517741303 " " absolute error = 6.772360450213455000000000000000E-15 " " relative error = 1.7751453862402114000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6199999999999868 " " y[1] (closed_form) = 0.38103933049866096 " " y[1] (numeric) = 0.38103933049865407 " " absolute error = 6.8833827526759700000000000000000E-15 " " relative error = 1.8064756579505276000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6209999999999867 " " y[1] (closed_form) = 0.38056934696584105 " " y[1] (numeric) = 0.3805693469658341 " " absolute error = 6.938893903907228000000000000000E-15 " " relative error = 1.8232929055450295000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6219999999999866 " " y[1] (closed_form) = 0.3801002324312984 " " y[1] (numeric) = 0.3801002324312915 " " absolute error = 6.938893903907228000000000000000E-15 " " relative error = 1.8255431888380666000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6229999999999865 " " y[1] (closed_form) = 0.3796319847539858 " " y[1] (numeric) = 0.37963198475397886 " " absolute error = 6.938893903907228000000000000000E-15 " " relative error = 1.8277948599098845000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6239999999999863 " " y[1] (closed_form) = 0.3791646017994457 " " y[1] (numeric) = 0.3791646017994387 " " absolute error = 6.994405055138486000000000000000E-15 " " relative error = 1.844688302110566700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6249999999999862 " " y[1] (closed_form) = 0.3786980814397862 " " y[1] (numeric) = 0.3786980814397792 " " absolute error = 7.049916206369744000000000000000E-15 " " relative error = 1.8616192032360995000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6259999999999861 " " y[1] (closed_form) = 0.3782324215536566 " " y[1] (numeric) = 0.37823242155364956 " " absolute error = 7.049916206369744000000000000000E-15 " " relative error = 1.86391113099479000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.626999999999986 " " y[1] (closed_form) = 0.37776762002622355 " " y[1] (numeric) = 0.37776762002621644 " " absolute error = 7.105427357601002000000000000000E-15 " " relative error = 1.8808989921126015000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.627999999999986 " " y[1] (closed_form) = 0.3773036747491467 " " y[1] (numeric) = 0.37730367474913956 " " absolute error = 7.16093850883226000000000000000E-15 " " relative error = 1.8979244009731064000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6289999999999858 " " y[1] (closed_form) = 0.3768405836205552 " " y[1] (numeric) = 0.376840583620548 " " absolute error = 7.216449660063518000000000000000E-15 " " relative error = 1.914987390882994000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6299999999999857 " " y[1] (closed_form) = 0.37637834454502356 " " y[1] (numeric) = 0.37637834454501623 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 1.946836758470704000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6309999999999856 " " y[1] (closed_form) = 0.3759169554335479 " " y[1] (numeric) = 0.3759169554335406 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 1.949226247077683300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6319999999999855 " " y[1] (closed_form) = 0.3754564142035228 " " y[1] (numeric) = 0.37545641420351544 " " absolute error = 7.382983113757291000000000000000E-15 " " relative error = 1.9664021799758663000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6329999999999854 " " y[1] (closed_form) = 0.3749967187787174 " " y[1] (numeric) = 0.37499671877871 " " absolute error = 7.382983113757291000000000000000E-15 " " relative error = 1.968812723962507800000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6339999999999852 " " y[1] (closed_form) = 0.374537867089252 " " y[1] (numeric) = 0.3745378670892445 " " absolute error = 7.494005416219807000000000000000E-15 " " relative error = 2.0008672219073625000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6349999999999851 " " y[1] (closed_form) = 0.374079857071575 " " y[1] (numeric) = 0.3740798570715675 " " absolute error = 7.494005416219807000000000000000E-15 " " relative error = 2.0033170122779245000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.635999999999985 " " y[1] (closed_form) = 0.3736226866684395 " " y[1] (numeric) = 0.3736226866684319 " " absolute error = 7.605027718682322000000000000000E-15 " " relative error = 2.035483387396970800000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.636999999999985 " " y[1] (closed_form) = 0.37316635382888025 " " y[1] (numeric) = 0.3731663538288726 " " absolute error = 7.66053886991358000000000000000E-15 " " relative error = 2.0528482247427934000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6379999999999848 " " y[1] (closed_form) = 0.37271085650819075 " " y[1] (numeric) = 0.372710856508183 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 2.0851448345737433000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6389999999999847 " " y[1] (closed_form) = 0.37225619266790005 " " y[1] (numeric) = 0.3722561926678923 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 2.0876915751699307000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6399999999999846 " " y[1] (closed_form) = 0.3718023602757505 " " y[1] (numeric) = 0.37180236027574265 " " absolute error = 7.827072323607354000000000000000E-15 " " relative error = 2.1051701548646268000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6409999999999845 " " y[1] (closed_form) = 0.3713493573056743 " " y[1] (numeric) = 0.3713493573056664 " " absolute error = 7.882583474838611000000000000000E-15 " " relative error = 2.122686715288995300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6419999999999844 " " y[1] (closed_form) = 0.37089718173777164 " " y[1] (numeric) = 0.37089718173776365 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 2.1552080120556685000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6429999999999843 " " y[1] (closed_form) = 0.37044583155828753 " " y[1] (numeric) = 0.3704458315582795 " " absolute error = 8.049116928532385000000000000000E-15 " " relative error = 2.172818869272633000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6439999999999841 " " y[1] (closed_form) = 0.3699953047595897 " " y[1] (numeric) = 0.3699953047595817 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 2.16046140977251000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.644999999999984 " " y[1] (closed_form) = 0.3695455993401465 " " y[1] (numeric) = 0.3695455993401385 " " absolute error = 8.049116928532385000000000000000E-15 " " relative error = 2.1781119685648356000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.645999999999984 " " y[1] (closed_form) = 0.3690967133045042 " " y[1] (numeric) = 0.3690967133044961 " " absolute error = 8.104628079763643000000000000000E-15 " " relative error = 2.1958006635180566000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6469999999999838 " " y[1] (closed_form) = 0.36864864466326513 " " y[1] (numeric) = 0.368648644663257 " " absolute error = 8.1601392309949010000000000000E-15 " " relative error = 2.2135275279388644000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6479999999999837 " " y[1] (closed_form) = 0.36820139143306546 " " y[1] (numeric) = 0.3682013914330573 " " absolute error = 8.1601392309949010000000000000E-15 " " relative error = 2.216216293815477000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6489999999999836 " " y[1] (closed_form) = 0.36775495163655364 " " y[1] (numeric) = 0.36775495163654537 " " absolute error = 8.271161533457416000000000000000E-15 " " relative error = 2.2490958984100030000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6499999999999835 " " y[1] (closed_form) = 0.36730932330236793 " " y[1] (numeric) = 0.36730932330235966 " " absolute error = 8.271161533457416000000000000000E-15 " " relative error = 2.2518245545998897000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6509999999999834 " " y[1] (closed_form) = 0.36686450446511526 " " y[1] (numeric) = 0.36686450446510693 " " absolute error = 8.326672684688674000000000000000E-15 " " relative error = 2.26968610572693000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6519999999999833 " " y[1] (closed_form) = 0.36642049316534914 " " y[1] (numeric) = 0.3664204931653408 " " absolute error = 8.326672684688674000000000000000E-15 " " relative error = 2.2724364057146826000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6529999999999831 " " y[1] (closed_form) = 0.3659772874495483 " " y[1] (numeric) = 0.36597728744953995 " " absolute error = 8.382183835919932000000000000000E-15 " " relative error = 2.2903562935105515000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.653999999999983 " " y[1] (closed_form) = 0.3655348853700951 " " y[1] (numeric) = 0.36553488537008666 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 2.308314561716382200000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.654999999999983 " " y[1] (closed_form) = 0.3650932849852541 " " y[1] (numeric) = 0.3650932849852456 " " absolute error = 8.493206138382448000000000000000E-15 " " relative error = 2.3263112436388642000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6559999999999828 " " y[1] (closed_form) = 0.3646524843591509 " " y[1] (numeric) = 0.3646524843591423 " " absolute error = 8.548717289613705000000000000000E-15 " " relative error = 2.3443463725846894000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6569999999999827 " " y[1] (closed_form) = 0.36421248156175073 " " y[1] (numeric) = 0.36421248156174213 " " absolute error = 8.604228440844963000000000000000E-15 " " relative error = 2.362419981860548000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6579999999999826 " " y[1] (closed_form) = 0.3637732746688375 " " y[1] (numeric) = 0.3637732746688289 " " absolute error = 8.604228440844963000000000000000E-15 " " relative error = 2.365272283588688000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6589999999999825 " " y[1] (closed_form) = 0.3633348617619928 " " y[1] (numeric) = 0.36333486176198415 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 2.3834045403958223000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6599999999999824 " " y[1] (closed_form) = 0.3628972409285746 " " y[1] (numeric) = 0.36289724092856596 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 2.386278707966432200000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6609999999999823 " " y[1] (closed_form) = 0.3624604102616969 " " y[1] (numeric) = 0.3624604102616882 " " absolute error = 8.715250743307479000000000000000E-15 " " relative error = 2.4044697011226843000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6619999999999822 " " y[1] (closed_form) = 0.3620243678602084 " " y[1] (numeric) = 0.36202436786019965 " " absolute error = 8.770761894538737000000000000000E-15 " " relative error = 2.4226993189379634000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.662999999999982 " " y[1] (closed_form) = 0.3615891118286724 " " y[1] (numeric) = 0.3615891118286636 " " absolute error = 8.826273045769994000000000000000E-15 " " relative error = 2.4409675947189596000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.663999999999982 " " y[1] (closed_form) = 0.3611546402773457 " " y[1] (numeric) = 0.36115464027733685 " " absolute error = 8.826273045769994000000000000000E-15 " " relative error = 2.443904095761287000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6649999999999818 " " y[1] (closed_form) = 0.36072095132215837 " " y[1] (numeric) = 0.3607209513221495 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 2.4622313077315458000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6659999999999817 " " y[1] (closed_form) = 0.36028804308469325 " " y[1] (numeric) = 0.3602880430846843 " " absolute error = 8.93729534823251000000000000000E-15 " " relative error = 2.4805972664853637000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6669999999999816 " " y[1] (closed_form) = 0.3598559136921656 " " y[1] (numeric) = 0.35985591369215664 " " absolute error = 8.93729534823251000000000000000E-15 " " relative error = 2.483576067024929000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6679999999999815 " " y[1] (closed_form) = 0.35942456127740285 " " y[1] (numeric) = 0.35942456127739386 " " absolute error = 8.992806499463768000000000000000E-15 " " relative error = 2.5020011062970027000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6689999999999814 " " y[1] (closed_form) = 0.3589939839788245 " " y[1] (numeric) = 0.35899398397881543 " " absolute error = 9.048317650695026000000000000000E-15 " " relative error = 2.5204649811704777000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6699999999999813 " " y[1] (closed_form) = 0.35856417994042183 " " y[1] (numeric) = 0.35856417994041273 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 2.5389677249520440000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6709999999999812 " " y[1] (closed_form) = 0.3581351473117382 " " y[1] (numeric) = 0.3581351473117291 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 2.542009314154768000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.671999999999981 " " y[1] (closed_form) = 0.35770688424784886 " " y[1] (numeric) = 0.3577068842478397 " " absolute error = 9.159339953157541000000000000000E-15 " " relative error = 2.5605713382947350000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.672999999999981 " " y[1] (closed_form) = 0.3572793889093413 " " y[1] (numeric) = 0.3572793889093321 " " absolute error = 9.2148511043887990000000000000E-15 " " relative error = 2.5791723201606354000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6739999999999808 " " y[1] (closed_form) = 0.3568526594622954 " " y[1] (numeric) = 0.3568526594622861 " " absolute error = 9.270362255620057000000000000000E-15 " " relative error = 2.5978122930591613000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6749999999999807 " " y[1] (closed_form) = 0.3564266940782638 " " y[1] (numeric) = 0.35642669407825445 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 2.616491290297003000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6759999999999806 " " y[1] (closed_form) = 0.35600149093425226 " " y[1] (numeric) = 0.3560014909342428 " " absolute error = 9.43689570931383100000000000000E-15 " " relative error = 2.6508022998860625000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6769999999999805 " " y[1] (closed_form) = 0.3555770482127002 " " y[1] (numeric) = 0.35557704821269076 " " absolute error = 9.43689570931383100000000000000E-15 " " relative error = 2.653966491017395000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6779999999999804 " " y[1] (closed_form) = 0.35515336410146137 " " y[1] (numeric) = 0.3551533641014519 " " absolute error = 9.492406860545088000000000000000E-15 " " relative error = 2.6727627611133276000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6789999999999803 " " y[1] (closed_form) = 0.35473043679378435 " " y[1] (numeric) = 0.3547304367937748 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 2.691598188775338000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6799999999999802 " " y[1] (closed_form) = 0.35430826448829333 " " y[1] (numeric) = 0.35430826448828373 " " absolute error = 9.603429163007604000000000000000E-15 " " relative error = 2.7104728073101186000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.68099999999998 " " y[1] (closed_form) = 0.353886845388969 " " y[1] (numeric) = 0.3538868453889593 " " absolute error = 9.658940314238862000000000000000E-15 " " relative error = 2.7293866500243585000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.68199999999998 " " y[1] (closed_form) = 0.3534661777051292 " " y[1] (numeric) = 0.35346617770511957 " " absolute error = 9.658940314238862000000000000000E-15 " " relative error = 2.732634951652037000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6829999999999798 " " y[1] (closed_form) = 0.35304625965141057 " " y[1] (numeric) = 0.35304625965140085 " " absolute error = 9.71445146547012000000000000000E-15 " " relative error = 2.7516086631428804000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6839999999999797 " " y[1] (closed_form) = 0.3526270894477486 " " y[1] (numeric) = 0.35262708944773885 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 2.7706216876310250000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6849999999999796 " " y[1] (closed_form) = 0.3522086653193596 " " y[1] (numeric) = 0.3522086653193498 " " absolute error = 9.825473767932635000000000000000E-15 " " relative error = 2.7896740584231633000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6859999999999795 " " y[1] (closed_form) = 0.35179098549672155 " " y[1] (numeric) = 0.35179098549671173 " " absolute error = 9.825473767932635000000000000000E-15 " " relative error = 2.792986225630333000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6869999999999794 " " y[1] (closed_form) = 0.35137404821555546 " " y[1] (numeric) = 0.3513740482155456 " " absolute error = 9.880984919163893000000000000000E-15 " " relative error = 2.812098665039218000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6879999999999793 " " y[1] (closed_form) = 0.35095785171680666 " " y[1] (numeric) = 0.3509578517167967 " " absolute error = 9.936496070395151000000000000000E-15 " " relative error = 2.831250539569938000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6889999999999792 " " y[1] (closed_form) = 0.3505423942466264 " " y[1] (numeric) = 0.35054239424661643 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 2.850441882529183000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.689999999999979 " " y[1] (closed_form) = 0.35012767405635326 " " y[1] (numeric) = 0.35012767405634326 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 2.8538181817693703000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.690999999999979 " " y[1] (closed_form) = 0.34971368940249487 " " y[1] (numeric) = 0.34971368940248476 " " absolute error = 1.010302952408892500000000000000E-14 " " relative error = 2.8889431069600124000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6919999999999789 " " y[1] (closed_form) = 0.3493004385467093 " " y[1] (numeric) = 0.3493004385466992 " " absolute error = 1.010302952408892500000000000000E-14 " " relative error = 2.8923609618480120000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6929999999999787 " " y[1] (closed_form) = 0.3488879197557872 " " y[1] (numeric) = 0.34888791975577704 " " absolute error = 1.015854067532018200000000000000E-14 " " relative error = 2.911691721063574000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6939999999999786 " " y[1] (closed_form) = 0.34847613130163335 " " y[1] (numeric) = 0.34847613130162314 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 2.9310621041388857000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6949999999999785 " " y[1] (closed_form) = 0.3480650714612486 " " y[1] (numeric) = 0.3480650714612384 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 2.9345236463029040000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6959999999999784 " " y[1] (closed_form) = 0.3476547385167121 " " y[1] (numeric) = 0.3476547385167018 " " absolute error = 1.026956297778269800000000000000E-14 " " relative error = 2.953954553186402000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6969999999999783 " " y[1] (closed_form) = 0.34724513075516283 " " y[1] (numeric) = 0.3472451307551525 " " absolute error = 1.032507412901395600000000000000E-14 " " relative error = 2.9734251727474925000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6979999999999782 " " y[1] (closed_form) = 0.34683624646878236 " " y[1] (numeric) = 0.346836246468772 " " absolute error = 1.038058528024521400000000000000E-14 " " relative error = 2.9929355382928635000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.698999999999978 " " y[1] (closed_form) = 0.3464280839547765 " " y[1] (numeric) = 0.3464280839547661 " " absolute error = 1.038058528024521400000000000000E-14 " " relative error = 2.9964618231125620000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.699999999999978 " " y[1] (closed_form) = 0.3460206415153579 " " y[1] (numeric) = 0.34602064151534745 " " absolute error = 1.043609643147647100000000000000E-14 " " relative error = 3.0160329123062650000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7009999999999779 " " y[1] (closed_form) = 0.3456139174577283 " " y[1] (numeric) = 0.3456139174577178 " " absolute error = 1.04916075827077300000000000000E-14 " " relative error = 3.035643836302092000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7019999999999778 " " y[1] (closed_form) = 0.3452079100940609 " " y[1] (numeric) = 0.3452079100940504 " " absolute error = 1.04916075827077300000000000000E-14 " " relative error = 3.0392141303624876000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7029999999999776 " " y[1] (closed_form) = 0.3448026177414829 " " y[1] (numeric) = 0.34480261774147236 " " absolute error = 1.054711873393898700000000000000E-14 " " relative error = 3.058885922335639000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7039999999999775 " " y[1] (closed_form) = 0.34439803872205815 " " y[1] (numeric) = 0.34439803872204755 " " absolute error = 1.060262988517024500000000000000E-14 " " relative error = 3.0785976379287560000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7049999999999774 " " y[1] (closed_form) = 0.3439941713627695 " " y[1] (numeric) = 0.3439941713627589 " " absolute error = 1.060262988517024500000000000000E-14 " " relative error = 3.0822120744566100000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7059999999999773 " " y[1] (closed_form) = 0.3435910139955019 " " y[1] (numeric) = 0.34359101399549125 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 3.1019848023560453000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7069999999999772 " " y[1] (closed_form) = 0.34318856495702477 " " y[1] (numeric) = 0.3431885649570141 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 3.105622425891769000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.707999999999977 " " y[1] (closed_form) = 0.3427868225889752 " " y[1] (numeric) = 0.3427868225889645 " " absolute error = 1.07136521876327600000000000000E-14 " " relative error = 3.1254562549153650000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.708999999999977 " " y[1] (closed_form) = 0.34238578523784063 " " y[1] (numeric) = 0.34238578523782986 " " absolute error = 1.076916333886401800000000000000E-14 " " relative error = 3.1453301518879195000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7099999999999769 " " y[1] (closed_form) = 0.3419854512549419 " " y[1] (numeric) = 0.3419854512549311 " " absolute error = 1.076916333886401800000000000000E-14 " " relative error = 3.149012128833477000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7109999999999768 " " y[1] (closed_form) = 0.34158581899641643 " " y[1] (numeric) = 0.3415858189964056 " " absolute error = 1.082467449009527600000000000000E-14 " " relative error = 3.1689472712591843000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7119999999999767 " " y[1] (closed_form) = 0.34118688682320114 " " y[1] (numeric) = 0.3411868868231902 " " absolute error = 1.093569679255779200000000000000E-14 " " relative error = 3.2051925835662420000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7129999999999765 " " y[1] (closed_form) = 0.34078865310101564 " " y[1] (numeric) = 0.3407886531010047 " " absolute error = 1.093569679255779200000000000000E-14 " " relative error = 3.208938059717693000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7139999999999764 " " y[1] (closed_form) = 0.34039111620034584 " " y[1] (numeric) = 0.34039111620033485 " " absolute error = 1.09912079437890500000000000000E-14 " " relative error = 3.2289937723638750000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7149999999999763 " " y[1] (closed_form) = 0.33999427449642683 " " y[1] (numeric) = 0.3399942744964158 " " absolute error = 1.104671909502030800000000000000E-14 " " relative error = 3.2490897416969305000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7159999999999762 " " y[1] (closed_form) = 0.3395981263692266 " " y[1] (numeric) = 0.3395981263692155 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 3.269226001023549000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.716999999999976 " " y[1] (closed_form) = 0.33920267020342926 " " y[1] (numeric) = 0.3392026702034181 " " absolute error = 1.115774139748282300000000000000E-14 " " relative error = 3.289402583650422000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.717999999999976 " " y[1] (closed_form) = 0.33880790438841885 " " y[1] (numeric) = 0.33880790438840763 " " absolute error = 1.121325254871408100000000000000E-14 " " relative error = 3.3096195228842400000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7189999999999759 " " y[1] (closed_form) = 0.33841382731826264 " " y[1] (numeric) = 0.33841382731825137 " " absolute error = 1.126876369994533900000000000000E-14 " " relative error = 3.3298768520316940000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7199999999999758 " " y[1] (closed_form) = 0.33802043739169507 " " y[1] (numeric) = 0.33802043739168375 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 3.350174604399475000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7209999999999757 " " y[1] (closed_form) = 0.3376277330121013 " " y[1] (numeric) = 0.33762773301209 " " absolute error = 1.132427485117659700000000000000E-14 " " relative error = 3.354071287375765000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7219999999999756 " " y[1] (closed_form) = 0.3372357125875012 " " y[1] (numeric) = 0.33723571258748974 " " absolute error = 1.143529715363911200000000000000E-14 " " relative error = 3.3908915120227795000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7229999999999754 " " y[1] (closed_form) = 0.33684437453053273 " " y[1] (numeric) = 0.3368443745305213 " " absolute error = 1.143529715363911200000000000000E-14 " " relative error = 3.3948309718922076000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7239999999999753 " " y[1] (closed_form) = 0.3364537172584367 " " y[1] (numeric) = 0.3364537172584252 " " absolute error = 1.14908083048703700000000000000E-14 " " relative error = 3.4152716155143725000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7249999999999752 " " y[1] (closed_form) = 0.33606373919303995 " " y[1] (numeric) = 0.33606373919302845 " " absolute error = 1.14908083048703700000000000000E-14 " " relative error = 3.4192347952987223000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.725999999999975 " " y[1] (closed_form) = 0.33567443876073993 " " y[1] (numeric) = 0.3356744387607284 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 3.4397374726323876000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.726999999999975 " " y[1] (closed_form) = 0.33528581439248856 " " y[1] (numeric) = 0.335285814392477 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 3.4437244167405795000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.727999999999975 " " y[1] (closed_form) = 0.33489786452377657 " " y[1] (numeric) = 0.33489786452376497 " " absolute error = 1.160183060733288600000000000000E-14 " " relative error = 3.464289216603588000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7289999999999748 " " y[1] (closed_form) = 0.3345105875946177 " " y[1] (numeric) = 0.33451058759460606 " " absolute error = 1.165734175856414400000000000000E-14 " " relative error = 3.4848947061404495000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7299999999999747 " " y[1] (closed_form) = 0.334123982049533 " " y[1] (numeric) = 0.33412398204952126 " " absolute error = 1.171285290979540200000000000000E-14 " " relative error = 3.505540918657854000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7309999999999746 " " y[1] (closed_form) = 0.3337380463375351 " " y[1] (numeric) = 0.33373804633752335 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 3.526227887462493000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7319999999999744 " " y[1] (closed_form) = 0.333352778912113 " " y[1] (numeric) = 0.33335277891210124 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 3.5303032719368255000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7329999999999743 " " y[1] (closed_form) = 0.33296817823121627 " " y[1] (numeric) = 0.33296817823120445 " " absolute error = 1.182387521225791700000000000000E-14 " " relative error = 3.5510526186221030000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7339999999999742 " " y[1] (closed_form) = 0.3325842427572397 " " y[1] (numeric) = 0.3325842427572278 " " absolute error = 1.187938636348917500000000000000E-14 " " relative error = 3.571842810412456000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7349999999999741 " " y[1] (closed_form) = 0.33220097095700785 " " y[1] (numeric) = 0.3322009709569959 " " absolute error = 1.193489751472043300000000000000E-14 " " relative error = 3.5926738806145760000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.735999999999974 " " y[1] (closed_form) = 0.3318183613017599 " " y[1] (numeric) = 0.33181836130174797 " " absolute error = 1.193489751472043300000000000000E-14 " " relative error = 3.5968164835419350000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.736999999999974 " " y[1] (closed_form) = 0.33143641226713444 " " y[1] (numeric) = 0.33143641226712245 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 3.6177101314648380000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7379999999999738 " " y[1] (closed_form) = 0.33105512233315404 " " y[1] (numeric) = 0.331055122333142 " " absolute error = 1.204591981718294800000000000000E-14 " " relative error = 3.638644746617349400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7389999999999737 " " y[1] (closed_form) = 0.33067448998421034 " " y[1] (numeric) = 0.3306744899841983 " " absolute error = 1.204591981718294800000000000000E-14 " " relative error = 3.642833112937784000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7399999999999736 " " y[1] (closed_form) = 0.33029451370904894 " " y[1] (numeric) = 0.33029451370903684 " " absolute error = 1.210143096841420600000000000000E-14 " " relative error = 3.663830450140071000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7409999999999735 " " y[1] (closed_form) = 0.3299151920007543 " " y[1] (numeric) = 0.32991519200074215 " " absolute error = 1.215694211964546400000000000000E-14 " " relative error = 3.68486884338980970000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7419999999999733 " " y[1] (closed_form) = 0.329536523356735 " " y[1] (numeric) = 0.3295365233567228 " " absolute error = 1.221245327087672200000000000000E-14 " " relative error = 3.7059483259936890000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7429999999999732 " " y[1] (closed_form) = 0.3291585062787086 " " y[1] (numeric) = 0.32915850627869636 " " absolute error = 1.221245327087672200000000000000E-14 " " relative error = 3.710204365958588700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7439999999999731 " " y[1] (closed_form) = 0.3287811392726871 " " y[1] (numeric) = 0.32878113927267477 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 3.748230692490635000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.744999999999973 " " y[1] (closed_form) = 0.3284044208489619 " " y[1] (numeric) = 0.3284044208489495 " " absolute error = 1.237898672457049500000000000000E-14 " " relative error = 3.769433642997083000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.745999999999973 " " y[1] (closed_form) = 0.32802834952208926 " " y[1] (numeric) = 0.3280283495220769 " " absolute error = 1.237898672457049500000000000000E-14 " " relative error = 3.773755147262631000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7469999999999728 " " y[1] (closed_form) = 0.3276529238108758 " " y[1] (numeric) = 0.3276529238108634 " " absolute error = 1.237898672457049500000000000000E-14 " " relative error = 3.778079127325522000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7479999999999727 " " y[1] (closed_form) = 0.3272781422383636 " " y[1] (numeric) = 0.32727814223835117 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 3.799367043200045400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7489999999999726 " " y[1] (closed_form) = 0.32690400333181585 " " y[1] (numeric) = 0.32690400333180336 " " absolute error = 1.249000902703301100000000000000E-14 " " relative error = 3.820696259371083600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7499999999999725 " " y[1] (closed_form) = 0.3265305056227023 " " y[1] (numeric) = 0.32653050562268976 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 3.84206680914532970000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7509999999999724 " " y[1] (closed_form) = 0.32615764764668503 " " y[1] (numeric) = 0.32615764764667243 " " absolute error = 1.260103132949552700000000000000E-14 " " relative error = 3.8634787258294720000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7519999999999722 " " y[1] (closed_form) = 0.3257854279436038 " " y[1] (numeric) = 0.3257854279435912 " " absolute error = 1.260103132949552700000000000000E-14 " " relative error = 3.867892867104194000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7529999999999721 " " y[1] (closed_form) = 0.3254138450574622 " " y[1] (numeric) = 0.3254138450574495 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 3.889368160869698000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.753999999999972 " " y[1] (closed_form) = 0.32504289753641274 " " y[1] (numeric) = 0.32504289753640003 " " absolute error = 1.271205363195804200000000000000E-14 " " relative error = 3.910884910362941000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.754999999999972 " " y[1] (closed_form) = 0.3246725839327434 " " y[1] (numeric) = 0.3246725839327307 " " absolute error = 1.271205363195804200000000000000E-14 " " relative error = 3.915345569982395000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7559999999999718 " " y[1] (closed_form) = 0.3243029028028631 " " y[1] (numeric) = 0.32430290280285035 " " absolute error = 1.2767564783189300000000000000E-14 " " relative error = 3.936925840885992500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7569999999999717 " " y[1] (closed_form) = 0.3239338527072876 " " y[1] (numeric) = 0.3239338527072748 " " absolute error = 1.2767564783189300000000000000E-14 " " relative error = 3.941411086394326000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7579999999999716 " " y[1] (closed_form) = 0.32356543221062567 " " y[1] (numeric) = 0.32356543221061285 " " absolute error = 1.282307593442055800000000000000E-14 " " relative error = 3.96305496752611950000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7589999999999715 " " y[1] (closed_form) = 0.32319763988156497 " " y[1] (numeric) = 0.32319763988155215 " " absolute error = 1.282307593442055800000000000000E-14 " " relative error = 3.967564843332254700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7599999999999714 " " y[1] (closed_form) = 0.32283047429285844 " " y[1] (numeric) = 0.3228304742928455 " " absolute error = 1.293409823688307400000000000000E-14 " " relative error = 4.006467563266594000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7609999999999713 " " y[1] (closed_form) = 0.3224639340213099 " " y[1] (numeric) = 0.32246393402129697 " " absolute error = 1.293409823688307400000000000000E-14 " " relative error = 4.011021659255800700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7619999999999711 " " y[1] (closed_form) = 0.3220980176477609 " " y[1] (numeric) = 0.322098017647748 " " absolute error = 1.293409823688307400000000000000E-14 " " relative error = 4.015578342064654000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.762999999999971 " " y[1] (closed_form) = 0.3217327237570766 " " y[1] (numeric) = 0.32173272375706363 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 4.0373914211853995000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.763999999999971 " " y[1] (closed_form) = 0.32136805093813214 " " y[1] (numeric) = 0.3213680509381191 " " absolute error = 1.30451205393455900000000000000E-14 " " relative error = 4.059246244691871500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7649999999999708 " " y[1] (closed_form) = 0.321003997783799 " " y[1] (numeric) = 0.3210039977837859 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 4.08114284589076000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7659999999999707 " " y[1] (closed_form) = 0.3206405628909316 " " y[1] (numeric) = 0.32064056289091847 " " absolute error = 1.315614284180810500000000000000E-14 " " relative error = 4.103081258088756000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7669999999999706 " " y[1] (closed_form) = 0.32027774486035354 " " y[1] (numeric) = 0.3202777448603404 " " absolute error = 1.315614284180810500000000000000E-14 " " relative error = 4.107729323354766000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7679999999999705 " " y[1] (closed_form) = 0.31991554229684427 " " y[1] (numeric) = 0.3199155422968311 " " absolute error = 1.315614284180810500000000000000E-14 " " relative error = 4.112380019849345000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7689999999999704 " " y[1] (closed_form) = 0.31955395380912577 " " y[1] (numeric) = 0.31955395380911256 " " absolute error = 1.321165399303936300000000000000E-14 " " relative error = 4.134404796296426000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7699999999999703 " " y[1] (closed_form) = 0.3191929780098489 " " y[1] (numeric) = 0.3191929780098356 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 4.173862588885273000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7709999999999702 " " y[1] (closed_form) = 0.3188326135155803 " " y[1] (numeric) = 0.31883261351556696 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 4.178580148561509300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.77199999999997 " " y[1] (closed_form) = 0.3184728589467892 " " y[1] (numeric) = 0.3184728589467758 " " absolute error = 1.337818744673313600000000000000E-14 " " relative error = 4.2007307909928926000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.77299999999997 " " y[1] (closed_form) = 0.31811371292783397 " " y[1] (numeric) = 0.31811371292782054 " " absolute error = 1.343369859796439400000000000000E-14 " " relative error = 4.2229234553657585000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7739999999999698 " " y[1] (closed_form) = 0.31775517408694925 " " y[1] (numeric) = 0.31775517408693577 " " absolute error = 1.348920974919565200000000000000E-14 " " relative error = 4.245158174986795600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7749999999999697 " " y[1] (closed_form) = 0.3173972410562327 " " y[1] (numeric) = 0.31739724105621914 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 4.267434983162698000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7759999999999696 " " y[1] (closed_form) = 0.31703991247163177 " " y[1] (numeric) = 0.3170399124716182 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 4.272244713554439000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7769999999999695 " " y[1] (closed_form) = 0.3166831869729313 " " y[1] (numeric) = 0.31668318697291764 " " absolute error = 1.365574320288942500000000000000E-14 " " relative error = 4.3121149984058543000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7779999999999694 " " y[1] (closed_form) = 0.31632706320373977 " " y[1] (numeric) = 0.31632706320372606 " " absolute error = 1.371125435412068300000000000000E-14 " " relative error = 4.334518272086490500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7789999999999693 " " y[1] (closed_form) = 0.315971539811477 " " y[1] (numeric) = 0.31597153981146325 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 4.356963767548754000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7799999999999692 " " y[1] (closed_form) = 0.31561661544736114 " " y[1] (numeric) = 0.31561661544734737 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 4.361863359392109000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.780999999999969 " " y[1] (closed_form) = 0.3152622887663959 " " y[1] (numeric) = 0.31526228876638207 " " absolute error = 1.382227665658320000000000000000E-14 " " relative error = 4.384373630816743600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.781999999999969 " " y[1] (closed_form) = 0.31490855842735765 " " y[1] (numeric) = 0.3149085584273437 " " absolute error = 1.393329895904571500000000000000E-14 " " relative error = 4.4245539176922094000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7829999999999688 " " y[1] (closed_form) = 0.31455542309278284 " " y[1] (numeric) = 0.31455542309276885 " " absolute error = 1.398881011027697200000000000000E-14 " " relative error = 4.447168633347887000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7839999999999687 " " y[1] (closed_form) = 0.31420288142895547 " " y[1] (numeric) = 0.3142028814289414 " " absolute error = 1.40443212615082300000000000000E-14 " " relative error = 4.469825737318643400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7849999999999686 " " y[1] (closed_form) = 0.31385093210589426 " " y[1] (numeric) = 0.3138509321058802 " " absolute error = 1.40443212615082300000000000000E-14 " " relative error = 4.474838155576874600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7859999999999685 " " y[1] (closed_form) = 0.31349957379734045 " " y[1] (numeric) = 0.31349957379732635 " " absolute error = 1.409983241273948800000000000000E-14 " " relative error = 4.49756031306576000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7869999999999684 " " y[1] (closed_form) = 0.3131488051807449 " " y[1] (numeric) = 0.31314880518073074 " " absolute error = 1.415534356397074600000000000000E-14 " " relative error = 4.520324947687566000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7879999999999683 " " y[1] (closed_form) = 0.31279862493725585 " " y[1] (numeric) = 0.31279862493724164 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 4.543132092748986600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7889999999999682 " " y[1] (closed_form) = 0.31244903175170663 " " y[1] (numeric) = 0.31244903175169236 " " absolute error = 1.42663658664332620000000000000E-14 " " relative error = 4.565981781556709000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.789999999999968 " " y[1] (closed_form) = 0.312100024312603 " " y[1] (numeric) = 0.3121000243125887 " " absolute error = 1.42663658664332620000000000000E-14 " " relative error = 4.571087713900306000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.790999999999968 " " y[1] (closed_form) = 0.3117516013121113 " " y[1] (numeric) = 0.31175160131209695 " " absolute error = 1.437738816889577700000000000000E-14 " " relative error = 4.611808923637828500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7919999999999678 " " y[1] (closed_form) = 0.31140376144604565 " " y[1] (numeric) = 0.3114037614460313 " " absolute error = 1.43218770176645200000000000000E-14 " " relative error = 4.599134240112880400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7929999999999677 " " y[1] (closed_form) = 0.3110565034138563 " " y[1] (numeric) = 0.31105650341384194 " " absolute error = 1.437738816889577700000000000000E-14 " " relative error = 4.622114635477293000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7939999999999676 " " y[1] (closed_form) = 0.31070982591861707 " " y[1] (numeric) = 0.31070982591860263 " " absolute error = 1.443289932012703500000000000000E-14 " " relative error = 4.645137718917001000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7949999999999675 " " y[1] (closed_form) = 0.31036372766701326 " " y[1] (numeric) = 0.3103637276669988 " " absolute error = 1.443289932012703500000000000000E-14 " " relative error = 4.650317686482995400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7959999999999674 " " y[1] (closed_form) = 0.31001820736933006 " " y[1] (numeric) = 0.3100182073693155 " " absolute error = 1.45439216225895500000000000000E-14 " " relative error = 4.691312083249073500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7969999999999673 " " y[1] (closed_form) = 0.3096732637394398 " " y[1] (numeric) = 0.3096732637394252 " " absolute error = 1.45994327738208090000000000000E-14 " " relative error = 4.714463430754818000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7979999999999672 " " y[1] (closed_form) = 0.3093288954947906 " " y[1] (numeric) = 0.309328895494776 " " absolute error = 1.45994327738208090000000000000E-14 " " relative error = 4.719711926837006000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.798999999999967 " " y[1] (closed_form) = 0.30898510135639407 " " y[1] (numeric) = 0.30898510135637947 " " absolute error = 1.45994327738208090000000000000E-14 " " relative error = 4.7249633428057486000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.799999999999967 " " y[1] (closed_form) = 0.30864188004881377 " " y[1] (numeric) = 0.3086418800487991 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 4.7482032972110880000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8009999999999668 " " y[1] (closed_form) = 0.308299230300153 " " y[1] (numeric) = 0.3082992303001383 " " absolute error = 1.471045507628332400000000000000E-14 " " relative error = 4.771486150634099000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8019999999999667 " " y[1] (closed_form) = 0.3079571508420432 " " y[1] (numeric) = 0.30795715084202846 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 4.7948119363814710000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8029999999999666 " " y[1] (closed_form) = 0.30761564040963235 " " y[1] (numeric) = 0.3076156404096176 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 4.800135067206491300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8039999999999665 " " y[1] (closed_form) = 0.30727469774157307 " " y[1] (numeric) = 0.3072746977415583 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 4.805461151224755000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8049999999999664 " " y[1] (closed_form) = 0.3069343215800111 " " y[1] (numeric) = 0.3069343215799962 " " absolute error = 1.487698852997709800000000000000E-14 " " relative error = 4.846961543236535400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8059999999999663 " " y[1] (closed_form) = 0.3065945106705735 " " y[1] (numeric) = 0.3065945106705586 " " absolute error = 1.487698852997709800000000000000E-14 " " relative error = 4.852333623794710700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8069999999999662 " " y[1] (closed_form) = 0.30625526376235734 " " y[1] (numeric) = 0.30625526376234247 " " absolute error = 1.487698852997709800000000000000E-14 " " relative error = 4.857708679750591000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.807999999999966 " " y[1] (closed_form) = 0.3059165796079182 " " y[1] (numeric) = 0.30591657960790325 " " absolute error = 1.493249968120835500000000000000E-14 " " relative error = 4.881232557041132000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.808999999999966 " " y[1] (closed_form) = 0.30557845696325836 " " y[1] (numeric) = 0.3055784569632434 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 4.90479956649617970000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8099999999999659 " " y[1] (closed_form) = 0.3052408945878157 " " y[1] (numeric) = 0.30524089458780074 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 4.91022372761644000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8109999999999657 " " y[1] (closed_form) = 0.30490389124445233 " " y[1] (numeric) = 0.30490389124443734 " " absolute error = 1.498801083243961300000000000000E-14 " " relative error = 4.915650886338866500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8119999999999656 " " y[1] (closed_form) = 0.3045674456994431 " " y[1] (numeric) = 0.304567445699428 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 4.957533494831334000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8129999999999655 " " y[1] (closed_form) = 0.30423155672246416 " " y[1] (numeric) = 0.30423155672244906 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 4.963006894342736300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8139999999999654 " " y[1] (closed_form) = 0.3038962230865822 " " y[1] (numeric) = 0.30389622308656705 " " absolute error = 1.515454428613338700000000000000E-14 " " relative error = 4.986749796431576000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8149999999999653 " " y[1] (closed_form) = 0.3035614435682428 " " y[1] (numeric) = 0.3035614435682276 " " absolute error = 1.515454428613338700000000000000E-14 " " relative error = 4.992249380553014000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8159999999999652 " " y[1] (closed_form) = 0.30322721694725946 " " y[1] (numeric) = 0.30322721694724425 " " absolute error = 1.521005543736464500000000000000E-14 " " relative error = 5.016058779449913000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.816999999999965 " " y[1] (closed_form) = 0.3028935420068025 " " y[1] (numeric) = 0.30289354200678725 " " absolute error = 1.526556658859590200000000000000E-14 " " relative error = 5.039911543658155000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.817999999999965 " " y[1] (closed_form) = 0.30256041753338786 " " y[1] (numeric) = 0.30256041753337254 " " absolute error = 1.53210777398271600000000000000E-14 " " relative error = 5.063807706484429000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8189999999999649 " " y[1] (closed_form) = 0.3022278423168661 " " y[1] (numeric) = 0.3022278423168508 " " absolute error = 1.53210777398271600000000000000E-14 " " relative error = 5.069379982458404000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8199999999999648 " " y[1] (closed_form) = 0.30189581515041164 " " y[1] (numeric) = 0.30189581515039626 " " absolute error = 1.537658889105841800000000000000E-14 " " relative error = 5.0933428419328830000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8209999999999646 " " y[1] (closed_form) = 0.3015643348305114 " " y[1] (numeric) = 0.301564334830496 " " absolute error = 1.543210004228967600000000000000E-14 " " relative error = 5.117349188843235000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8219999999999645 " " y[1] (closed_form) = 0.3012334001569543 " " y[1] (numeric) = 0.30123340015693884 " " absolute error = 1.548761119352093400000000000000E-14 " " relative error = 5.141399056496154000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8229999999999644 " " y[1] (closed_form) = 0.3009030099328201 " " y[1] (numeric) = 0.30090300993280455 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 5.1654924781983280000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8239999999999643 " " y[1] (closed_form) = 0.3005731629644687 " " y[1] (numeric) = 0.3005731629644531 " " absolute error = 1.55986334959834500000000000000E-14 " " relative error = 5.1896294872564500000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8249999999999642 " " y[1] (closed_form) = 0.3002438580615293 " " y[1] (numeric) = 0.3002438580615137 " " absolute error = 1.55986334959834500000000000000E-14 " " relative error = 5.1953214286191330000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.825999999999964 " " y[1] (closed_form) = 0.29991509403688993 " " y[1] (numeric) = 0.2999150940368743 " " absolute error = 1.565414464721470700000000000000E-14 " " relative error = 5.2195254451879070000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.826999999999964 " " y[1] (closed_form) = 0.2995868697066863 " " y[1] (numeric) = 0.2995868697066706 " " absolute error = 1.570965579844596500000000000000E-14 " " relative error = 5.243773137930468000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8279999999999639 " " y[1] (closed_form) = 0.29925918389029144 " " y[1] (numeric) = 0.29925918389027567 " " absolute error = 1.576516694967722300000000000000E-14 " " relative error = 5.2680645401535090000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8289999999999638 " " y[1] (closed_form) = 0.29893203541030505 " " y[1] (numeric) = 0.29893203541028923 " " absolute error = 1.58206781009084800000000000000E-14 " " relative error = 5.292399685163719000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8299999999999637 " " y[1] (closed_form) = 0.29860542309254284 " " y[1] (numeric) = 0.29860542309252697 " " absolute error = 1.58761892521397390000000000000E-14 " " relative error = 5.3167786062677900000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8309999999999635 " " y[1] (closed_form) = 0.29827934576602605 " " y[1] (numeric) = 0.2982793457660102 " " absolute error = 1.58761892521397390000000000000E-14 " " relative error = 5.322590879152999000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8319999999999634 " " y[1] (closed_form) = 0.297953802262971 " " y[1] (numeric) = 0.2979538022629551 " " absolute error = 1.593170040337099600000000000000E-14 " " relative error = 5.347037118630169000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8329999999999633 " " y[1] (closed_form) = 0.2976287914187786 " " y[1] (numeric) = 0.29762879141876264 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 5.371527223019040000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8339999999999632 " " y[1] (closed_form) = 0.2973043120720238 " " y[1] (numeric) = 0.2973043120720078 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 5.377389733496114000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.834999999999963 " " y[1] (closed_form) = 0.2969803630644454 " " y[1] (numeric) = 0.2969803630644294 " " absolute error = 1.604272270583351200000000000000E-14 " " relative error = 5.401947300587078000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.835999999999963 " " y[1] (closed_form) = 0.29665694324093567 " " y[1] (numeric) = 0.2966569432409196 " " absolute error = 1.604272270583351200000000000000E-14 " " relative error = 5.4078365840923880000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8369999999999629 " " y[1] (closed_form) = 0.29633405144952996 " " y[1] (numeric) = 0.2963340514495139 " " absolute error = 1.604272270583351200000000000000E-14 " " relative error = 5.4137290761422420000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8379999999999628 " " y[1] (closed_form) = 0.29601168654139665 " " y[1] (numeric) = 0.29601168654138055 " " absolute error = 1.60982338570647700000000000000E-14 " " relative error = 5.4383778036457560000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8389999999999627 " " y[1] (closed_form) = 0.2956898473708266 " " y[1] (numeric) = 0.29568984737081044 " " absolute error = 1.615374500829602800000000000000E-14 " " relative error = 5.46307056259443000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8399999999999626 " " y[1] (closed_form) = 0.2953685327952233 " " y[1] (numeric) = 0.2953685327952071 " " absolute error = 1.620925615952728500000000000000E-14 " " relative error = 5.48780738629495000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8409999999999624 " " y[1] (closed_form) = 0.29504774167509246 " " y[1] (numeric) = 0.29504774167507625 " " absolute error = 1.620925615952728500000000000000E-14 " " relative error = 5.493774013487273000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8419999999999623 " " y[1] (closed_form) = 0.2947274728740323 " " y[1] (numeric) = 0.294727472874016 " " absolute error = 1.626476731075854300000000000000E-14 " " relative error = 5.51857862185456100000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8429999999999622 " " y[1] (closed_form) = 0.2944077252587229 " " y[1] (numeric) = 0.29440772525870657 " " absolute error = 1.6320278461989800000000000000E-14 " " relative error = 5.543427383791538000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8439999999999621 " " y[1] (closed_form) = 0.2940884976989166 " " y[1] (numeric) = 0.29408849769890033 " " absolute error = 1.626476731075854300000000000000E-14 " " relative error = 5.530569008316051000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.844999999999962 " " y[1] (closed_form) = 0.2937697890674281 " " y[1] (numeric) = 0.2937697890674118 " " absolute error = 1.6320278461989800000000000000E-14 " " relative error = 5.555465221185101000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.845999999999962 " " y[1] (closed_form) = 0.2934515982401242 " " y[1] (numeric) = 0.2934515982401078 " " absolute error = 1.63757896132210600000000000000E-14 " " relative error = 5.580405665339453000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8469999999999618 " " y[1] (closed_form) = 0.2931339240959138 " " y[1] (numeric) = 0.2931339240958974 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 5.605390374085796000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8479999999999617 " " y[1] (closed_form) = 0.2928167655167386 " " y[1] (numeric) = 0.2928167655167221 " " absolute error = 1.648681191568357500000000000000E-14 " " relative error = 5.630419380730822000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8489999999999616 " " y[1] (closed_form) = 0.29250012138756254 " " y[1] (numeric) = 0.292500121387546 " " absolute error = 1.654232306691483200000000000000E-14 " " relative error = 5.655492718581221000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8499999999999615 " " y[1] (closed_form) = 0.29218399059636263 " " y[1] (numeric) = 0.29218399059634603 " " absolute error = 1.65978342181460900000000000000E-14 " " relative error = 5.680610420943685000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8509999999999613 " " y[1] (closed_form) = 0.29186837203411875 " " y[1] (numeric) = 0.29186837203410215 " " absolute error = 1.65978342181460900000000000000E-14 " " relative error = 5.68675327938782000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8519999999999612 " " y[1] (closed_form) = 0.2915532645948042 " " y[1] (numeric) = 0.29155326459478753 " " absolute error = 1.665334536937734800000000000000E-14 " " relative error = 5.711939254915182000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8529999999999611 " " y[1] (closed_form) = 0.2912386671753758 " " y[1] (numeric) = 0.29123866717535907 " " absolute error = 1.670885652060860600000000000000E-14 " " relative error = 5.737169683772452000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.853999999999961 " " y[1] (closed_form) = 0.29092457867576427 " " y[1] (numeric) = 0.29092457867574756 " " absolute error = 1.670885652060860600000000000000E-14 " " relative error = 5.7433636568846390000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.854999999999961 " " y[1] (closed_form) = 0.2906109979988649 " " y[1] (numeric) = 0.29061099799884815 " " absolute error = 1.676436767183986400000000000000E-14 " " relative error = 5.768662503235801000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8559999999999608 " " y[1] (closed_form) = 0.29029792405052757 " " y[1] (numeric) = 0.2902979240505108 " " absolute error = 1.676436767183986400000000000000E-14 " " relative error = 5.77488376007882000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8569999999999607 " " y[1] (closed_form) = 0.2899853557395474 " " y[1] (numeric) = 0.2899853557395306 " " absolute error = 1.681987882307112200000000000000E-14 " " relative error = 5.8002511127417160000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8579999999999606 " " y[1] (closed_form) = 0.2896732919776553 " " y[1] (numeric) = 0.28967329197763847 " " absolute error = 1.681987882307112200000000000000E-14 " " relative error = 5.806499697724486000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8589999999999605 " " y[1] (closed_form) = 0.2893617316795083 " " y[1] (numeric) = 0.2893617316794914 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 5.831935645516958000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8599999999999604 " " y[1] (closed_form) = 0.2890506737626803 " " y[1] (numeric) = 0.2890506737626634 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 5.838211603048401000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8609999999999602 " " y[1] (closed_form) = 0.28874011714765263 " " y[1] (numeric) = 0.2887401171476357 " " absolute error = 1.693090112553363700000000000000E-14 " " relative error = 5.863716234788291000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8619999999999601 " " y[1] (closed_form) = 0.28843006075780464 " " y[1] (numeric) = 0.28843006075778765 " " absolute error = 1.698641227676489500000000000000E-14 " " relative error = 5.889265575209383000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.86299999999996 " " y[1] (closed_form) = 0.2881205035194043 " " y[1] (numeric) = 0.2881205035193873 " " absolute error = 1.704192342799615300000000000000E-14 " " relative error = 5.914859657618367000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.86399999999996 " " y[1] (closed_form) = 0.2878114443615991 " " y[1] (numeric) = 0.287811444361582 " " absolute error = 1.70974345792274100000000000000E-14 " " relative error = 5.940498515321934000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8649999999999598 " " y[1] (closed_form) = 0.28750288221640663 " " y[1] (numeric) = 0.2875028822163895 " " absolute error = 1.71529457304586690000000000000E-14 " " relative error = 5.966182181626776000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8659999999999597 " " y[1] (closed_form) = 0.28719481601870533 " " y[1] (numeric) = 0.2871948160186882 " " absolute error = 1.71529457304586690000000000000E-14 " " relative error = 5.97258194567881000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8669999999999596 " " y[1] (closed_form) = 0.2868872447062255 " " y[1] (numeric) = 0.28688724470620836 " " absolute error = 1.71529457304586690000000000000E-14 " " relative error = 5.978985140319989000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8679999999999595 " " y[1] (closed_form) = 0.28658016721954 " " y[1] (numeric) = 0.2865801672195228 " " absolute error = 1.720845688168992600000000000000E-14 " " relative error = 6.004761965438827000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8689999999999594 " " y[1] (closed_form) = 0.286273582502055 " " y[1] (numeric) = 0.28627358250203777 " " absolute error = 1.720845688168992600000000000000E-14 " " relative error = 6.0111927657755140000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8699999999999593 " " y[1] (closed_form) = 0.2859674895000011 " " y[1] (numeric) = 0.2859674894999839 " " absolute error = 1.720845688168992600000000000000E-14 " " relative error = 6.0176270078035780000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8709999999999591 " " y[1] (closed_form) = 0.2856618871624244 " " y[1] (numeric) = 0.2856618871624071 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 6.062929625016712000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.871999999999959 " " y[1] (closed_form) = 0.2853567744411769 " " y[1] (numeric) = 0.2853567744411596 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 6.06941230607534000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.872999999999959 " " y[1] (closed_form) = 0.2850521502909082 " " y[1] (numeric) = 0.28505215029089087 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 6.075898451029804000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8739999999999588 " " y[1] (closed_form) = 0.28474801366905617 " " y[1] (numeric) = 0.2847480136690388 " " absolute error = 1.7374990335383700000000000000E-14 " " relative error = 6.101882893405363000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8749999999999587 " " y[1] (closed_form) = 0.284444363535838 " " y[1] (numeric) = 0.2844443635358206 " " absolute error = 1.743050148661495800000000000000E-14 " " relative error = 6.1279124219379500000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8759999999999586 " " y[1] (closed_form) = 0.2841411988542416 " " y[1] (numeric) = 0.2841411988542241 " " absolute error = 1.748601263784621600000000000000E-14 " " relative error = 6.1539870699342580000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8769999999999585 " " y[1] (closed_form) = 0.2838385185900163 " " y[1] (numeric) = 0.28383851858999887 " " absolute error = 1.743050148661495800000000000000E-14 " " relative error = 6.1409922702535050000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8779999999999584 " " y[1] (closed_form) = 0.28353632171166465 " " y[1] (numeric) = 0.28353632171164717 " " absolute error = 1.748601263784621600000000000000E-14 " " relative error = 6.167115568222751000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8789999999999583 " " y[1] (closed_form) = 0.2832346071904329 " " y[1] (numeric) = 0.2832346071904154 " " absolute error = 1.754152378907747300000000000000E-14 " " relative error = 6.193284063371332000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8799999999999581 " " y[1] (closed_form) = 0.2829333740003029 " " y[1] (numeric) = 0.28293337400028534 " " absolute error = 1.754152378907747300000000000000E-14 " " relative error = 6.199877922163646000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.880999999999958 " " y[1] (closed_form) = 0.2826326211179829 " " y[1] (numeric) = 0.28263262111796533 " " absolute error = 1.754152378907747300000000000000E-14 " " relative error = 6.206475289260717000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.881999999999958 " " y[1] (closed_form) = 0.28233234752289915 " " y[1] (numeric) = 0.2823323475228816 " " absolute error = 1.754152378907747300000000000000E-14 " " relative error = 6.213076164662547000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8829999999999578 " " y[1] (closed_form) = 0.2820325521971872 " " y[1] (numeric) = 0.2820325521971696 " " absolute error = 1.75970349403087300000000000000E-14 " " relative error = 6.239363081750048000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8839999999999577 " " y[1] (closed_form) = 0.28173323412568313 " " y[1] (numeric) = 0.2817332341256655 " " absolute error = 1.76525460915399900000000000000E-14 " " relative error = 6.2656953292436450000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8849999999999576 " " y[1] (closed_form) = 0.28143439229591505 " " y[1] (numeric) = 0.28143439229589734 " " absolute error = 1.770805724277124700000000000000E-14 " " relative error = 6.292072940450028000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8859999999999575 " " y[1] (closed_form) = 0.28113602569809454 " " y[1] (numeric) = 0.2811360256980768 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 6.318495948675887000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8869999999999574 " " y[1] (closed_form) = 0.2808381333251081 " " y[1] (numeric) = 0.28083813332509033 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 6.325198143030943000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8879999999999573 " " y[1] (closed_form) = 0.28054071417250875 " " y[1] (numeric) = 0.280540714172491 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 6.331903890099679000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8889999999999572 " " y[1] (closed_form) = 0.28024376723850747 " " y[1] (numeric) = 0.28024376723848965 " " absolute error = 1.781907954523376200000000000000E-14 " " relative error = 6.3584213561004730000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.889999999999957 " " y[1] (closed_form) = 0.2799472915239646 " " y[1] (numeric) = 0.27994729152394676 " " absolute error = 1.781907954523376200000000000000E-14 " " relative error = 6.365155186260618000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.890999999999957 " " y[1] (closed_form) = 0.27965128603238176 " " y[1] (numeric) = 0.27965128603236394 " " absolute error = 1.781907954523376200000000000000E-14 " " relative error = 6.3718925802366710000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8919999999999568 " " y[1] (closed_form) = 0.2793557497698934 " " y[1] (numeric) = 0.27935574976987554 " " absolute error = 1.78745906964650200000000000000E-14 " " relative error = 6.398504670545855000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8929999999999567 " " y[1] (closed_form) = 0.2790606817452583 " " y[1] (numeric) = 0.27906068174524035 " " absolute error = 1.793010184769627800000000000000E-14 " " relative error = 6.425162346612429000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8939999999999566 " " y[1] (closed_form) = 0.2787660809698511 " " y[1] (numeric) = 0.2787660809698332 " " absolute error = 1.793010184769627800000000000000E-14 " " relative error = 6.431952476182151000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8949999999999565 " " y[1] (closed_form) = 0.2784719464576547 " " y[1] (numeric) = 0.27847194645763673 " " absolute error = 1.798561299892753600000000000000E-14 " " relative error = 6.458680390508378000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8959999999999564 " " y[1] (closed_form) = 0.27817827722525124 " " y[1] (numeric) = 0.27817827722523325 " " absolute error = 1.798561299892753600000000000000E-14 " " relative error = 6.465498736396271000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8969999999999563 " " y[1] (closed_form) = 0.27788507229181436 " " y[1] (numeric) = 0.2778850722917963 " " absolute error = 1.804112415015879400000000000000E-14 " " relative error = 6.492296977799995000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8979999999999562 " " y[1] (closed_form) = 0.27759233067910083 " " y[1] (numeric) = 0.27759233067908273 " " absolute error = 1.809663530139005200000000000000E-14 " " relative error = 6.519140949290102000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.898999999999956 " " y[1] (closed_form) = 0.27730005141144237 " " y[1] (numeric) = 0.2773000514114242 " " absolute error = 1.81521464526213100000000000000E-14 " " relative error = 6.546030684173284000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.899999999999956 " " y[1] (closed_form) = 0.2770082335157376 " " y[1] (numeric) = 0.27700823351571946 " " absolute error = 1.81521464526213100000000000000E-14 " " relative error = 6.552926684610635000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9009999999999558 " " y[1] (closed_form) = 0.276716876021444 " " y[1] (numeric) = 0.2767168760214258 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 6.579886946411456000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9019999999999557 " " y[1] (closed_form) = 0.2764259779605696 " " y[1] (numeric) = 0.2764259779605514 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 6.586811318598200000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9029999999999556 " " y[1] (closed_form) = 0.27613553836766525 " " y[1] (numeric) = 0.276135538367647 " " absolute error = 1.826316875508382500000000000000E-14 " " relative error = 6.6138421961345040000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9039999999999555 " " y[1] (closed_form) = 0.2758455562798163 " " y[1] (numeric) = 0.27584555627979795 " " absolute error = 1.831867990631508300000000000000E-14 " " relative error = 6.640918981392874000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9049999999999554 " " y[1] (closed_form) = 0.2755560307366348 " " y[1] (numeric) = 0.27555603073661644 " " absolute error = 1.83741910575463400000000000000E-14 " " relative error = 6.6680417076800050000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9059999999999553 " " y[1] (closed_form) = 0.2752669607802516 " " y[1] (numeric) = 0.2752669607802332 " " absolute error = 1.83741910575463400000000000000E-14 " " relative error = 6.675044111892035000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9069999999999552 " " y[1] (closed_form) = 0.2749783454553083 " " y[1] (numeric) = 0.2749783454552899 " " absolute error = 1.8429702208777599000000000000E-14 " " relative error = 6.702237653754791000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.907999999999955 " " y[1] (closed_form) = 0.2746901838089494 " " y[1] (numeric) = 0.27469018380893095 " " absolute error = 1.8429702208777599000000000000E-14 " " relative error = 6.7092685851474400000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.908999999999955 " " y[1] (closed_form) = 0.2744024748908145 " " y[1] (numeric) = 0.274402474890796 " " absolute error = 1.848521336000885600000000000000E-14 " " relative error = 6.736533031403662000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9099999999999548 " " y[1] (closed_form) = 0.2741152177530302 " " y[1] (numeric) = 0.2741152177530117 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 6.763843563017637000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9109999999999547 " " y[1] (closed_form) = 0.27382841145020276 " " y[1] (numeric) = 0.2738284114501842 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 6.770927973853381000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9119999999999546 " " y[1] (closed_form) = 0.27354205503940987 " " y[1] (numeric) = 0.2735420550393913 " " absolute error = 1.859623566247137200000000000000E-14 " " relative error = 6.798309554189818000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9129999999999545 " " y[1] (closed_form) = 0.2732561475801932 " " y[1] (numeric) = 0.2732561475801745 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 6.825737308701848000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9139999999999544 " " y[1] (closed_form) = 0.2729706881345504 " " y[1] (numeric) = 0.27297068813453174 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 6.832875332207453000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9149999999999543 " " y[1] (closed_form) = 0.27268567576692787 " " y[1] (numeric) = 0.2726856757669091 " " absolute error = 1.876276911616514600000000000000E-14 " " relative error = 6.880731473479454000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9159999999999542 " " y[1] (closed_form) = 0.2724011095442124 " " y[1] (numeric) = 0.27240110954419366 " " absolute error = 1.876276911616514600000000000000E-14 " " relative error = 6.887919490327857000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.916999999999954 " " y[1] (closed_form) = 0.2721169885357243 " " y[1] (numeric) = 0.27211698853570554 " " absolute error = 1.876276911616514600000000000000E-14 " " relative error = 6.895111259730083000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.917999999999954 " " y[1] (closed_form) = 0.2718333118132092 " " y[1] (numeric) = 0.27183331181319037 " " absolute error = 1.881828026739640300000000000000E-14 " " relative error = 6.922727807667453000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9189999999999539 " " y[1] (closed_form) = 0.2715500784508307 " " y[1] (numeric) = 0.27155007845081186 " " absolute error = 1.881828026739640300000000000000E-14 " " relative error = 6.929948381806051000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9199999999999537 " " y[1] (closed_form) = 0.27126728752516294 " " y[1] (numeric) = 0.27126728752514406 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 6.957636355941708000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9209999999999536 " " y[1] (closed_form) = 0.27098493811518276 " " y[1] (numeric) = 0.27098493811516383 " " absolute error = 1.89293025698589200000000000000E-14 " " relative error = 6.985370737399795000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9219999999999535 " " y[1] (closed_form) = 0.2707030293022625 " " y[1] (numeric) = 0.27070302930224355 " " absolute error = 1.89293025698589200000000000000E-14 " " relative error = 6.992645268377391000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9229999999999534 " " y[1] (closed_form) = 0.27042156017016233 " " y[1] (numeric) = 0.27042156017014335 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 7.02045122036276000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9239999999999533 " " y[1] (closed_form) = 0.27014052980502296 " " y[1] (numeric) = 0.27014052980500397 " " absolute error = 1.898481372109017700000000000000E-14 " " relative error = 7.0277546782012620000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9249999999999532 " " y[1] (closed_form) = 0.2698599372953581 " " y[1] (numeric) = 0.2698599372953391 " " absolute error = 1.904032487232143500000000000000E-14 " " relative error = 7.055632289531755000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.925999999999953 " " y[1] (closed_form) = 0.26957978173204705 " " y[1] (numeric) = 0.269579781732028 " " absolute error = 1.904032487232143500000000000000E-14 " " relative error = 7.062964718640086000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.926999999999953 " " y[1] (closed_form) = 0.26930006220832753 " " y[1] (numeric) = 0.26930006220830843 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 7.090914078133546000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9279999999999529 " " y[1] (closed_form) = 0.26902077781978806 " " y[1] (numeric) = 0.26902077781976896 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 7.0982755229206240000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9289999999999528 " " y[1] (closed_form) = 0.26874192766436095 " " y[1] (numeric) = 0.2687419276643418 " " absolute error = 1.91513471747839500000000000000E-14 " " relative error = 7.126296719394892000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9299999999999526 " " y[1] (closed_form) = 0.26846351084231473 " " y[1] (numeric) = 0.2684635108422956 " " absolute error = 1.91513471747839500000000000000E-14 " " relative error = 7.133687224269643000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9309999999999525 " " y[1] (closed_form) = 0.26818552645624716 " " y[1] (numeric) = 0.268185526456228 " " absolute error = 1.91513471747839500000000000000E-14 " " relative error = 7.141081559413824000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9319999999999524 " " y[1] (closed_form) = 0.26790797361107777 " " y[1] (numeric) = 0.2679079736110586 " " absolute error = 1.91513471747839500000000000000E-14 " " relative error = 7.148479724827442000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9329999999999523 " " y[1] (closed_form) = 0.2676308514140408 " " y[1] (numeric) = 0.2676308514140216 " " absolute error = 1.920685832601520800000000000000E-14 " " relative error = 7.176623406656902000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9339999999999522 " " y[1] (closed_form) = 0.2673541589746779 " " y[1] (numeric) = 0.2673541589746587 " " absolute error = 1.920685832601520800000000000000E-14 " " relative error = 7.1840506987715720000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.934999999999952 " " y[1] (closed_form) = 0.2670778954048312 " " y[1] (numeric) = 0.2670778954048119 " " absolute error = 1.926236947724646600000000000000E-14 " " relative error = 7.2122664618309060000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.935999999999952 " " y[1] (closed_form) = 0.26680205981863586 " " y[1] (numeric) = 0.26680205981861654 " " absolute error = 1.931788062847772400000000000000E-14 " " relative error = 7.240529042995187000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9369999999999519 " " y[1] (closed_form) = 0.26652665133251324 " " y[1] (numeric) = 0.26652665133249387 " " absolute error = 1.937339177970898200000000000000E-14 " " relative error = 7.2688384755711100000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9379999999999518 " " y[1] (closed_form) = 0.2662516690651637 " " y[1] (numeric) = 0.2662516690651443 " " absolute error = 1.937339177970898200000000000000E-14 " " relative error = 7.276345664885747000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9389999999999517 " " y[1] (closed_form) = 0.2659771121375596 " " y[1] (numeric) = 0.26597711213754016 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 7.304727378531686000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9399999999999515 " " y[1] (closed_form) = 0.2657029796729382 " " y[1] (numeric) = 0.2657029796729187 " " absolute error = 1.948441408217149700000000000000E-14 " " relative error = 7.333156032407108000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9409999999999514 " " y[1] (closed_form) = 0.2654292707967948 " " y[1] (numeric) = 0.26542927079677525 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 7.3616316598186990000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9419999999999513 " " y[1] (closed_form) = 0.2651559846368755 " " y[1] (numeric) = 0.26515598463685597 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 7.36921901278683100000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9429999999999512 " " y[1] (closed_form) = 0.2648831203231707 " " y[1] (numeric) = 0.2648831203231511 " " absolute error = 1.959543638463401300000000000000E-14 " " relative error = 7.397767121108585000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.943999999999951 " " y[1] (closed_form) = 0.26461067698790763 " " y[1] (numeric) = 0.264610676987888 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 7.426362291784354000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.944999999999951 " " y[1] (closed_form) = 0.2643386537655439 " " y[1] (numeric) = 0.2643386537655242 " " absolute error = 1.97064586870965290000000000000E-14 " " relative error = 7.455004558120827000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9459999999999509 " " y[1] (closed_form) = 0.2640670497927603 " " y[1] (numeric) = 0.2640670497927406 " " absolute error = 1.97064586870965290000000000000E-14 " " relative error = 7.462672341195976000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9469999999999508 " " y[1] (closed_form) = 0.26379586420845424 " " y[1] (numeric) = 0.26379586420843454 " " absolute error = 1.97064586870965290000000000000E-14 " " relative error = 7.470344065562862000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9479999999999507 " " y[1] (closed_form) = 0.2635250961537328 " " y[1] (numeric) = 0.26352509615371306 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 7.499084575534785000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9489999999999505 " " y[1] (closed_form) = 0.26325474477190575 " " y[1] (numeric) = 0.263254744771886 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 7.50678581518078000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9499999999999504 " " y[1] (closed_form) = 0.26298480920847905 " " y[1] (numeric) = 0.26298480920845924 " " absolute error = 1.981748098955904400000000000000E-14 " " relative error = 7.535599128027544000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9509999999999503 " " y[1] (closed_form) = 0.26271528861114796 " " y[1] (numeric) = 0.26271528861112814 " " absolute error = 1.981748098955904400000000000000E-14 " " relative error = 7.54332992736157000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9519999999999502 " " y[1] (closed_form) = 0.2624461821297904 " " y[1] (numeric) = 0.2624461821297705 " " absolute error = 1.987299214079030200000000000000E-14 " " relative error = 7.572216131901014000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.95299999999995 " " y[1] (closed_form) = 0.26217748891646003 " " y[1] (numeric) = 0.2621774889164401 " " absolute error = 1.99285032920215600000000000000E-14 " " relative error = 7.601149654145768000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.95399999999995 " " y[1] (closed_form) = 0.26190920812537993 " " y[1] (numeric) = 0.26190920812535995 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 7.630130527402521000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9549999999999499 " " y[1] (closed_form) = 0.2616413389129355 " " y[1] (numeric) = 0.2616413389129155 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 7.637942278648387000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9559999999999498 " " y[1] (closed_form) = 0.2613738804376683 " " y[1] (numeric) = 0.2613738804376483 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 7.645758026697144000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9569999999999497 " " y[1] (closed_form) = 0.26110683186026906 " " y[1] (numeric) = 0.261106831860249 " " absolute error = 2.003952559448407600000000000000E-14 " " relative error = 7.674837709803090000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9579999999999496 " " y[1] (closed_form) = 0.26084019234357125 " " y[1] (numeric) = 0.2608401923435512 " " absolute error = 2.003952559448407600000000000000E-14 " " relative error = 7.68268318407333000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9589999999999494 " " y[1] (closed_form) = 0.26057396105254466 " " y[1] (numeric) = 0.26057396105252456 " " absolute error = 2.009503674571533300000000000000E-14 " " relative error = 7.711836080836633000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9599999999999493 " " y[1] (closed_form) = 0.2603081371542884 " " y[1] (numeric) = 0.26030813715426837 " " absolute error = 2.003952559448407600000000000000E-14 " " relative error = 7.698386156329164000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9609999999999492 " " y[1] (closed_form) = 0.2600427198180252 " " y[1] (numeric) = 0.26004271981800503 " " absolute error = 2.01505478969465900000000000000E-14 " " relative error = 7.748937524975783000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9619999999999491 " " y[1] (closed_form) = 0.2597777082150938 " " y[1] (numeric) = 0.2597777082150737 " " absolute error = 2.01505478969465900000000000000E-14 " " relative error = 7.756842584915755000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.962999999999949 " " y[1] (closed_form) = 0.25951310151894363 " " y[1] (numeric) = 0.2595131015189235 " " absolute error = 2.01505478969465900000000000000E-14 " " relative error = 7.764751674965307000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.963999999999949 " " y[1] (closed_form) = 0.25924889890512764 " " y[1] (numeric) = 0.2592488989051074 " " absolute error = 2.026157019940910700000000000000E-14 " " relative error = 7.815489394546608000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9649999999999488 " " y[1] (closed_form) = 0.2589850995512959 " " y[1] (numeric) = 0.25898509955127563 " " absolute error = 2.026157019940910700000000000000E-14 " " relative error = 7.823450165477956000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9659999999999487 " " y[1] (closed_form) = 0.2587217026371897 " " y[1] (numeric) = 0.25872170263716937 " " absolute error = 2.031708135064036500000000000000E-14 " " relative error = 7.852870920199297000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9669999999999486 " " y[1] (closed_form) = 0.2584587073446346 " " y[1] (numeric) = 0.25845870734461424 " " absolute error = 2.037259250187162300000000000000E-14 " " relative error = 7.882339392306235000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9679999999999485 " " y[1] (closed_form) = 0.25819611285753447 " " y[1] (numeric) = 0.25819611285751404 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 7.911855615105463000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9689999999999483 " " y[1] (closed_form) = 0.25793391836186486 " " y[1] (numeric) = 0.2579339183618444 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 7.919898159513691000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9699999999999482 " " y[1] (closed_form) = 0.2576721230456671 " " y[1] (numeric) = 0.25767212304564663 " " absolute error = 2.048361480433413800000000000000E-14 " " relative error = 7.949488117775098000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9709999999999481 " " y[1] (closed_form) = 0.25741072609904153 " " y[1] (numeric) = 0.257410726099021 " " absolute error = 2.053912595556539600000000000000E-14 " " relative error = 7.979125915546638000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.971999999999948 " " y[1] (closed_form) = 0.2571497267141415 " " y[1] (numeric) = 0.25714972671412095 " " absolute error = 2.053912595556539600000000000000E-14 " " relative error = 7.987224492910917000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.972999999999948 " " y[1] (closed_form) = 0.2568891240851672 " " y[1] (numeric) = 0.2568891240851466 " " absolute error = 2.059463710679665400000000000000E-14 " " relative error = 8.01693617047363100000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9739999999999478 " " y[1] (closed_form) = 0.2566289174083592 " " y[1] (numeric) = 0.2566289174083386 " " absolute error = 2.059463710679665400000000000000E-14 " " relative error = 8.025064873739682000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9749999999999477 " " y[1] (closed_form) = 0.2563691058819925 " " y[1] (numeric) = 0.25636910588197187 " " absolute error = 2.065014825802791200000000000000E-14 " " relative error = 8.054850519911411000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9759999999999476 " " y[1] (closed_form) = 0.25610968870637024 " " y[1] (numeric) = 0.2561096887063496 " " absolute error = 2.065014825802791200000000000000E-14 " " relative error = 8.063009393488157000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9769999999999475 " " y[1] (closed_form) = 0.2558506650838175 " " y[1] (numeric) = 0.2558506650837968 " " absolute error = 2.07056594092591700000000000000E-14 " " relative error = 8.092869097086745000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9779999999999474 " " y[1] (closed_form) = 0.25559203421867516 " " y[1] (numeric) = 0.2555920342186544 " " absolute error = 2.076117056049042700000000000000E-14 " " relative error = 8.122776840035607000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9789999999999472 " " y[1] (closed_form) = 0.25533379531729394 " " y[1] (numeric) = 0.2553337953172732 " " absolute error = 2.076117056049042700000000000000E-14 " " relative error = 8.130992035226392000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9799999999999471 " " y[1] (closed_form) = 0.2550759475880282 " " y[1] (numeric) = 0.25507594758800745 " " absolute error = 2.076117056049042700000000000000E-14 " " relative error = 8.139211382651288000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.980999999999947 " " y[1] (closed_form) = 0.2548184902412299 " " y[1] (numeric) = 0.2548184902412091 " " absolute error = 2.076117056049042700000000000000E-14 " " relative error = 8.1474348823102990000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.981999999999947 " " y[1] (closed_form) = 0.2545614224892425 " " y[1] (numeric) = 0.2545614224892217 " " absolute error = 2.081668171172168500000000000000E-14 " " relative error = 8.177469118519471000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9829999999999468 " " y[1] (closed_form) = 0.254304743546395 " " y[1] (numeric) = 0.25430474354637417 " " absolute error = 2.081668171172168500000000000000E-14 " " relative error = 8.185722932818169000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9839999999999467 " " y[1] (closed_form) = 0.25404845262899595 " " y[1] (numeric) = 0.2540484526289751 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.215831526214414000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9849999999999466 " " y[1] (closed_form) = 0.2537925489553274 " " y[1] (numeric) = 0.2537925489553065 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.22411569956171900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9859999999999465 " " y[1] (closed_form) = 0.2535370317456389 " " y[1] (numeric) = 0.25353703174561804 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 8.232404047347599000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9869999999999464 " " y[1] (closed_form) = 0.25328190022214186 " " y[1] (numeric) = 0.25328190022212094 " " absolute error = 2.0927704014184200000000000000E-14 " " relative error = 8.262613315767718000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9879999999999463 " " y[1] (closed_form) = 0.2530271536090032 " " y[1] (numeric) = 0.25302715360898226 " " absolute error = 2.0927704014184200000000000000E-14 " " relative error = 8.270932078113357000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9889999999999461 " " y[1] (closed_form) = 0.2527727911323397 " " y[1] (numeric) = 0.25277279113231876 " " absolute error = 2.0927704014184200000000000000E-14 " " relative error = 8.279255025999797000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.989999999999946 " " y[1] (closed_form) = 0.25251881202021215 " " y[1] (numeric) = 0.25251881202019116 " " absolute error = 2.09832151654154600000000000000E-14 " " relative error = 8.309565135977243000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.990999999999946 " " y[1] (closed_form) = 0.2522652155026193 " " y[1] (numeric) = 0.25226521550259834 " " absolute error = 2.09832151654154600000000000000E-14 " " relative error = 8.317918553934593000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9919999999999458 " " y[1] (closed_form) = 0.25201200081149233 " " y[1] (numeric) = 0.2520120008114713 " " absolute error = 2.103872631664671600000000000000E-14 " " relative error = 8.348303354166021000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9929999999999457 " " y[1] (closed_form) = 0.2517591671806887 " " y[1] (numeric) = 0.2517591671806676 " " absolute error = 2.109423746787797400000000000000E-14 " " relative error = 8.378736593428014000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9939999999999456 " " y[1] (closed_form) = 0.2515067138459865 " " y[1] (numeric) = 0.25150671384596535 " " absolute error = 2.114974861910923200000000000000E-14 " " relative error = 8.409218305027262000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9949999999999455 " " y[1] (closed_form) = 0.25125464004507875 " " y[1] (numeric) = 0.2512546400450576 " " absolute error = 2.114974861910923200000000000000E-14 " " relative error = 8.417654939751424000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9959999999999454 " " y[1] (closed_form) = 0.25100294501756765 " " y[1] (numeric) = 0.25100294501754644 " " absolute error = 2.12052597703404900000000000000E-14 " " relative error = 8.448211541444798000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9969999999999453 " " y[1] (closed_form) = 0.25075162800495854 " " y[1] (numeric) = 0.25075162800493733 " " absolute error = 2.12052597703404900000000000000E-14 " " relative error = 8.456678801671095000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9979999999999452 " " y[1] (closed_form) = 0.25050068825065475 " " y[1] (numeric) = 0.2505006882506335 " " absolute error = 2.126077092157174800000000000000E-14 " " relative error = 8.487310382276435000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.998999999999945 " " y[1] (closed_form) = 0.2502501249999512 " " y[1] (numeric) = 0.25025012499992993 " " absolute error = 2.126077092157174800000000000000E-14 " " relative error = 8.495808312413787000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.999999999999945 " " y[1] (closed_form) = 0.24999993750002938 " " y[1] (numeric) = 0.2499999375000081 " " absolute error = 2.128852649718737700000000000000E-14 " " relative error = 8.515412727727131000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " "Finished!" "diff ( y , x , 1 ) = neg ( 2.0 ) * x / ( x * x + 0.000001 ) / ( x * x + 0.000001 ) ; " Iterations = 501 "Total Elapsed Time "= 11 Seconds "Elapsed Time(since restart) "= 11 Seconds "Expected Time Remaining "= 0 Seconds "Optimized Time Remaining "= 0 Seconds "Expected Total Time "= 11 Seconds "Time to Timeout "= 2 Minutes 48 Seconds Percent Done = 0.0 "%" (%o258) temp/diffeq.sing1_back.max