(%i1) batch("temp/diffeq.sin_back.max") read and interpret file: /home/dennis/src/mine/omni/testtar/omnisode0060dir/temp/diffeq.sin_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([40],convfloat)),fixnum) (%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a], completearray([40],convfloat),[arr_b], completearray([40],convfloat),[jjj_ats],fixnum), convfloat) (%i25) mode_declare(att([mmm_att],fixnum,[arr_a], completearray([40],convfloat),[arr_b], completearray([40],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,40,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,[40],convfloat) (%i173) completearray(array_norms,[40],convfloat) (%i174) completearray(array_fact_1,[40],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,[40],convfloat) (%i184) completearray(array_x,[40],convfloat) (%i185) completearray(array_tmp0,[40],convfloat) (%i186) completearray(array_tmp1_g,[40],convfloat) (%i187) completearray(array_tmp1,[40],convfloat) (%i188) completearray(array_tmp2,[40],convfloat) (%i189) completearray(array_m1,[40],convfloat) (%i190) completearray(array_y_higher,[2,40],convfloat) (%i191) completearray(array_y_higher_work,[2,40],convfloat) (%i192) completearray(array_y_higher_work2,[2,40],convfloat) (%i193) completearray(array_y_set_initial,[2,40],convfloat) (%i194) completearray(array_given_rad_poles,[2,3],convfloat) (%i195) completearray(array_given_ord_poles,[2,3],convfloat) (%i196) completearray(array_rad_test_poles,[2,4],convfloat) (%i197) completearray(array_ord_test_poles,[2,4],convfloat) (%i198) completearray(array_fact_2,[40,40],convfloat) (%i199) omniout_str(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a~%",string(str)) (%i200) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a",string(str)) (%i201) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel then printf(true,"~a = ~a~%",string(label), string(str)) (%i202) 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)) (%i203) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (printf(true,"~a = ~d ~a~%",prelabel,value, postlabel),newline()) (%i204) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen, postlabel):=if glob_iolevel >= iolevel then (sprint(prelabel,"[",elemnt,"]=",value, postlabel),newline()) (%i205) 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) (%i206) 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) (%i207) 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) (%i208) 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) (%i209) 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) (%i210) logditto(file):=(printf(file,""),printf(file,"ditto"), printf(file,""),0) (%i211) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n), printf(file,""),0) (%i212) logitem_str(file,str):=(printf(file,""),printf(file,str), printf(file,""),0) (%i213) logitem_good_digits(file,rel_error):=( block(mode_declare([[good_digits],fixnum]), printf(file,""), printf(file,"~d",glob_min_good_digits), printf(file,"")),0) (%i214) log_revs(file,revs):=printf(file,revs) (%i215) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x), printf(file,""),0) (%i216) 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) (%i217) logstart(file):=(printf(file,""),0) (%i218) logend(file):=(printf(file,"~%"),0) (%i219) 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) (%i220) 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) (%i221) 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) (%i222) 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) (%i223) 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) (%i224) c(in_val):=(ret:in_val,ret) (%i225) 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) (%i226) 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) (%i227) 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) (%i228) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save (%i229) factorial_2(nnn):=block(mode_declare([[ret],convfloat]),ret:nnn!,ret) (%i230) 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) (%i231) factorial_1(in):=block(mode_declare([[ret],convfloat]),ret:in!,ret) (%i232) neg(in):=block(mode_declare([[ret],convfloat]),ret:-in,ret) (%i233) 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) (%i234) log10(x):=log(x)/glob_log_10 (%i235) c(x):=x (%i236) 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 (%i237) 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) (%i238) exact_soln_y(x):=block(c(2.0)-cos(c(x))) (%o238) exact_soln_y(x) := block(c(2.0) - cos(c(x))) (%i239) 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) (%i240) my_check_sign(x0,xf):=block([ret], if xf > x0 then ret:glob__1 else ret:glob__m1,ret) (%i241) 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) (%i242) 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) (%i243) 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)) (%i244) 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)) (%i245) 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(17) *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) (%i246) 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) (%i247) 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) (%i248) atomall():=( block(mode_declare([[kkk,order_d],fixnum, [adj2,adj3,temporary,term,temp,temp2], convfloat]),array_tmp1[1]:sin(array_x[1]), array_tmp1_g[1]:cos(array_x[1]), array_tmp2[1]:array_tmp1[1]+array_const_0D0[1], if not array_y_set_initial[1,2] then (if 1 <= ats_max_terms then ( temporary :c(array_tmp2[1])*expt(glob_h,c(1)) *c(factorial_3(0,1)), if 2 <= ats_max_terms then (array_y[2]:temporary, array_y_higher[1,2]:temporary), temporary:c(temporary)*c(1)/c(glob_h), array_y_higher[2,1]:c(temporary),0)), kkk:2,array_tmp1[2]:array_tmp1_g[1]*array_x[2]/c(1), array_tmp1_g[2]:neg(array_tmp1[1])*array_x[2]/c(1), array_tmp2[2]:array_tmp1[2], if not array_y_set_initial[1,3] then (if 2 <= ats_max_terms then ( temporary :c(array_tmp2[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_tmp1[3]:array_tmp1_g[2]*array_x[2]/c(2), array_tmp1_g[3]:neg(array_tmp1[2])*array_x[2]/c(2), array_tmp2[3]:array_tmp1[3], if not array_y_set_initial[1,4] then (if 3 <= ats_max_terms then ( temporary :c(array_tmp2[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_tmp1[4]:array_tmp1_g[3]*array_x[2]/c(3), array_tmp1_g[4]:neg(array_tmp1[3])*array_x[2]/c(3), array_tmp2[4]:array_tmp1[4], if not array_y_set_initial[1,5] then (if 4 <= ats_max_terms then ( temporary :c(array_tmp2[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_tmp1[5]:array_tmp1_g[4]*array_x[2]/c(4), array_tmp1_g[5]:neg(array_tmp1[4])*array_x[2]/c(4), array_tmp2[5]:array_tmp1[5], if not array_y_set_initial[1,6] then (if 5 <= ats_max_terms then ( temporary :c(array_tmp2[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_tmp1[kkk] :array_tmp1_g[kkk-1]*array_x[2]/c(kkk-1), array_tmp1_g[kkk] :neg(array_tmp1[kkk-1])*array_x[2]/c(kkk-1), array_tmp2[kkk]:array_tmp1[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_tmp2[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) (%i249) exact_soln_y(x):=block(c(2.0)-cos(c(x))) (%o249) exact_soln_y(x) := block(c(2.0) - cos(c(x))) (%i250) 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:40, glob_html_log:true,term:1, while term <= 40 do (array_y_init[term]:c(0.0),term:1+term), term:1, while term <= 40 do (array_norms[term]:c(0.0),term:1+term), term:1, while term <= 40 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 <= 40 do (array_y[term]:c(0.0),term:1+term), term:1, while term <= 40 do (array_x[term]:c(0.0),term:1+term), term:1, while term <= 40 do (array_tmp0[term]:c(0.0),term:1+term), term:1, while term <= 40 do (array_tmp1_g[term]:c(0.0),term:1+term), term:1, while term <= 40 do (array_tmp1[term]:c(0.0),term:1+term), term:1, while term <= 40 do (array_tmp2[term]:c(0.0),term:1+term), term:1, while term <= 40 do (array_m1[term]:c(0.0),term:1+term), ord:1, while ord <= 2 do (term:1, while term <= 40 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 <= 40 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 <= 40 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 <= 40 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 <= 40 do (term:1, while term <= 40 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_g), zero_ats_ar(array_tmp1),zero_ats_ar(array_tmp2), 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_m1), array_m1[1]:glob__m1,iiif:0, while iiif <= ats_max_terms do (jjjf:0, while jjjf <= ats_max_terms do (array_fact_1[iiif]:0, array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf), iiif:1+iiif),array_y_set_initial[1,1]:true, array_y_set_initial[1,2]:false, array_y_set_initial[1,3]:false, array_y_set_initial[1,4]:false, array_y_set_initial[1,5]:false, array_y_set_initial[1,6]:false, array_y_set_initial[1,7]:false, array_y_set_initial[1,8]:false, array_y_set_initial[1,9]:false, array_y_set_initial[1,10]:false, array_y_set_initial[1,11]:false, array_y_set_initial[1,12]:false, array_y_set_initial[1,13]:false, array_y_set_initial[1,14]:false, array_y_set_initial[1,15]:false, array_y_set_initial[1,16]:false, array_y_set_initial[1,17]:false, array_y_set_initial[1,18]:false, array_y_set_initial[1,19]:false, array_y_set_initial[1,20]:false, array_y_set_initial[1,21]:false, array_y_set_initial[1,22]:false, array_y_set_initial[1,23]:false, array_y_set_initial[1,24]:false, array_y_set_initial[1,25]:false, array_y_set_initial[1,26]:false, array_y_set_initial[1,27]:false, array_y_set_initial[1,28]:false, array_y_set_initial[1,29]:false, array_y_set_initial[1,30]:false, array_y_set_initial[1,31]:false, array_y_set_initial[1,32]:false, array_y_set_initial[1,33]:false, array_y_set_initial[1,34]:false, array_y_set_initial[1,35]:false, array_y_set_initial[1,36]:false, array_y_set_initial[1,37]:false, array_y_set_initial[1,38]:false, array_y_set_initial[1,39]:false, array_y_set_initial[1,40]: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/sin_backpostode.ode#################"), omniout_str(always, "diff ( y , x , 1 ) = sin ( x ) ; "), omniout_str(always,"!"), omniout_str(always,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(always,""),omniout_str(always,"Digits:32,"), omniout_str(always,"max_terms:40,"),omniout_str(always,""), omniout_str(always,"!"), omniout_str(always,"/* END FIRST INPUT BLOCK */"), omniout_str(always,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(always,""), omniout_str(always,"x_start:c(-0.1),"), omniout_str(always,"x_end:c(-1.0),"), omniout_str(always, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(always,"glob_look_poles:true,"), omniout_str(always,""),omniout_str(always,""), omniout_str(always,""),omniout_str(always,""), omniout_str(always,""),omniout_str(always,""), omniout_str(always,""),omniout_str(always,""), omniout_str(always,"glob_type_given_pole:3,"), omniout_str(always,""), 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,""), omniout_str(always,"exact_soln_y (x) := (block("), omniout_str(always,""), omniout_str(always," (c(2.0) - cos(c(x))) "), 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(-0.1),x_end:c(-1.0), array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:true,glob_type_given_pole:3, glob_desired_digits_correct:8,glob_max_minutes:3.0, glob_subiter_method:3,glob_max_iter:100000, glob_upper_ratio_limit:c(1.000001), glob_lower_ratio_limit:c(0.999999),glob_look_poles:false, glob_h:c(0.001),glob_display_interval:c(0.01), glob_last_good_h:glob_h, glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes, glob_check_sign:c(my_check_sign(x_start,x_end)), glob__pi:3.141592654,glob_prec:1.0E-16, if glob_optimize then (omniout_str(always,"START of Optimize"), found_h:false,glob_min_pole_est:glob_larger_float, last_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float, glob_min_h:abs(glob_min_h)*glob_check_sign, glob_max_h:abs(glob_max_h)*glob_check_sign, glob_h:abs(glob_min_h)*glob_check_sign, glob_display_interval :c(abs(c(glob_display_interval)) *glob_check_sign), display_max:c(x_end)-c(x_start)/glob__10, if glob_display_interval > display_max then glob_display_interval:c(display_max), chk_data(),min_value:glob_larger_float, est_answer:est_size_answer(),opt_iter:1, est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(always,"est_needed_step_err",32, est_needed_step_err,16,""), estimated_step_error:glob_small_float, while opt_iter <= 100 and not found_h do (omniout_int(always,"opt_iter",32,opt_iter, 4,""),array_x[1]:c(x_start), array_x[2]:c(glob_h), glob_next_display:c(x_start),order_diff:1, term_no:1, while term_no <= order_diff do ( array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h, c(term_no-1)) /c( factorial_1( term_no-1)), term_no:1+term_no), r_order:1+r_order),atomall(), if glob_check_sign*glob_min_h >= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR MIN H"), glob_h:glob_check_sign*abs(glob_min_h), glob_h_reason:1,found_h:true), if glob_check_sign*glob_display_interval <= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR DISPLAY INTERVAL"), glob_h_reason:2, glob_h:glob_display_interval, found_h:true), if glob_look_poles then check_for_pole(), if not found_h then (est_answer:est_size_answer(), est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h, est_answer), omniout_float(always, "est_needed_step_err", 32, est_needed_step_err, 16,""), estimated_step_error :test_suggested_h(), omniout_float(always, "estimated_step_error", 32, estimated_step_error, 32,""), if estimated_step_error < est_needed_step_err then ( omniout_str(always, "Double H and LOOP"), glob_h:glob_h*glob__2) else ( omniout_str(always, "Found H for OPTIMAL"), found_h:true,glob_h_reason:3, glob_h:glob_h/glob__2)), opt_iter:1+opt_iter), if not found_h and opt_iter = 1 then (omniout_str(always, "Beginning glob_h too large."), found_h:false), if glob_check_sign*glob_max_h <= glob_check_sign*glob_h then (omniout_str(always, "SETTING H FOR MAX H"), glob_h:glob_check_sign*abs(glob_max_h), glob_h_reason:1,found_h:true)) else (found_h:true,glob_h:glob_h*glob_check_sign), if glob_html_log then html_log_file:openw("entry.html"), if found_h then (omniout_str(always,"START of Soultion"), array_x[1]:c(x_start),array_x[2]:c(glob_h), glob_next_display:c(x_start), glob_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float,order_diff:1, term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no), r_order:1+r_order),current_iter:1, glob_clock_start_sec:elapsed_time_seconds(), glob_clock_sec:elapsed_time_seconds(),glob_iter:0, omniout_str(debugl," "), glob_reached_optimal_h:true, glob_optimal_clock_start_sec :elapsed_time_seconds(), while glob_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and glob_clock_sec-glob_orig_start_sec < glob_max_sec do (if reached_interval() then (omniout_str(info," "), omniout_str(info, "TOP MAIN SOLVE Loop")), glob_iter:1+glob_iter, glob_clock_sec:elapsed_time_seconds(), track_estimated_error(),atomall(), track_estimated_error(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display :glob_display_interval +glob_next_display, array_x[1]:glob_h+array_x[1], array_x[2]:glob_h,order_diff:2,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[2,iii] :array_y_higher[2,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)), term_no:ats_max_terms, while term_no >= 1 do ( array_y[term_no] :array_y_higher_work2[1,term_no], ord:1, while ord <= order_diff do ( array_y_higher[ord,term_no] :array_y_higher_work2[ ord,term_no],ord:1+ord), term_no:term_no-1)), omniout_str(always,"Finished!"), if glob_iter >= glob_max_iter then omniout_str(always, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds()-glob_orig_start_sec >= glob_max_sec then omniout_str(always, "Maximum Time Reached before Solution Completed!"), glob_clock_sec:elapsed_time_seconds(), omniout_str(info, "diff ( y , x , 1 ) = sin ( x ) ; "), omniout_int(info, "Iterations ",32, glob_iter,4," "), prog_report(x_start,x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2015-04-24T23:03:00-05:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "sin_back"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) ; "), logitem_float(html_log_file,x_start), logitem_float(html_log_file,x_end), logitem_float(html_log_file,array_x[1]), logitem_float(html_log_file,glob_h), logitem_h_reason(html_log_file), logitem_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, "sin_back diffeq.max"), logitem_str(html_log_file, "sin_back maxima results"), logitem_str(html_log_file,"OK"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i251) main():=(glob_iolevel:2,compile(all),main_prog()) (%i252) 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_tmp1 in translation. warning: encountered undefined variable array_tmp1_g in translation. warning: encountered undefined variable array_const_0D0 in translation. warning: encountered undefined variable array_tmp2 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temporary in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable array_y_set_initial in translation. warning: encountered undefined variable kkk in translation. warning: encountered undefined variable order_d in translation. warning: encountered undefined variable adj3 in translation. warning: encountered undefined variable adj2 in translation. modedeclare: [found_h] is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: variable term (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable array_y_init in translation. warning: variable term (declared type [found_h]) assigned type any. warning: encountered undefined variable array_norms in translation. warning: encountered undefined variable array_fact_1 in translation. warning: encountered undefined variable array_type_pole in translation. warning: encountered undefined variable array_type_real_pole in translation. warning: encountered undefined variable array_type_complex_pole in translation. warning: encountered undefined variable array_tmp0 in translation. warning: encountered undefined variable array_m1 in translation. warning: variable ord (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable ord in translation. warning: variable ord (declared type [found_h]) assigned type any. warning: encountered undefined variable array_y_higher_work in translation. warning: encountered undefined variable array_y_higher_work2 in translation. warning: encountered undefined variable array_const_1 in translation. warning: encountered undefined variable glob__m1 in translation. warning: variable iiif (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable iiif in translation. warning: encountered undefined variable ats_max_terms in translation. warning: variable jjjf (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable jjjf in translation. warning: variable jjjf (declared type [found_h]) assigned type any. warning: variable iiif (declared type [found_h]) assigned type any. warning: variable glob_orig_start_sec (declared type convfloat) assigned type any. warning: variable opt_iter (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob__0 in translation. warning: variable glob_large_float (declared type convfloat) assigned type any. warning: variable glob_larger_float (declared type convfloat) assigned type any. warning: variable glob_almost_1 (declared type convfloat) assigned type any. warning: variable x_start (declared type [found_h]) assigned type any. warning: variable x_end (declared type [found_h]) assigned type any. warning: encountered undefined variable x_start in translation. warning: variable glob_upper_ratio_limit (declared type convfloat) assigned type any. warning: variable glob_lower_ratio_limit (declared type convfloat) assigned type any. warning: variable glob_h (declared type convfloat) assigned type any. warning: variable glob_display_interval (declared type convfloat) assigned type any. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_max_minutes in translation. warning: encountered undefined variable glob_max_hours in translation. warning: encountered undefined variable x_end in translation. warning: variable glob_check_sign (declared type convfloat) assigned type any. warning: encountered undefined variable glob_larger_float in translation. warning: variable last_min_pole_est (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_max_h in translation. warning: encountered undefined variable glob_display_interval in translation. warning: encountered undefined variable glob__10 in translation. warning: variable display_max (declared type [found_h]) assigned type any. warning: encountered undefined variable display_max in translation. warning: variable min_value (declared type [found_h]) assigned type convfloat. warning: variable est_answer (declared type [found_h]) assigned type any. warning: encountered undefined variable est_answer in translation. warning: variable est_needed_step_err (declared type [found_h]) assigned type any. warning: encountered undefined variable est_needed_step_err in translation. warning: encountered undefined variable glob_small_float in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable opt_iter in translation. warning: encountered undefined variable found_h in translation. warning: variable glob_next_display (declared type convfloat) assigned type any. warning: variable order_diff (declared type [found_h]) assigned type fixnum. warning: variable term_no (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable order_diff in translation. warning: variable term_no (declared type [found_h]) assigned type any. warning: variable r_order (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable r_order in translation. warning: encountered undefined variable rows in translation. warning: variable it (declared type [found_h]) assigned type any. warning: encountered undefined variable it in translation. warning: variable r_order (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_look_poles in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type any. warning: encountered undefined variable estimated_step_error in translation. warning: encountered undefined variable glob__2 in translation. warning: variable opt_iter (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_optimize in translation. warning: variable html_log_file (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_html_log in translation. warning: variable current_iter (declared type [found_h]) assigned type fixnum. warning: variable glob_clock_start_sec (declared type convfloat) assigned type any. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable debugl in translation. warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable info in translation. warning: encountered undefined variable current_iter in translation. warning: encountered undefined variable glob_next_display in translation. warning: variable calc_term (declared type [found_h]) assigned type fixnum. warning: variable iii (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable calc_term in translation. warning: variable iii (declared type [found_h]) assigned type any. warning: variable temp_sum (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable temp_sum in translation. warning: variable temp_sum (declared type [found_h]) assigned type any. warning: encountered undefined variable html_log_file in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob_percent_done in translation. warning: encountered undefined variable glob__100 in translation. WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB__PI is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $LAST_MIN_POLE_EST is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_REACHED_OPTIMAL_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. "##############ECHO OF PROBLEM#################" "##############temp/sin_backpostode.ode#################" "diff ( y , x , 1 ) = sin ( x ) ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "" "Digits:32," "max_terms:40," "" "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "" "x_start:c(-0.1)," "x_end:c(-1.0)," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "" "" "" "" "" "" "" "" "glob_type_given_pole:3," "" "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:8," "glob_max_minutes:(3.0)," "glob_subiter_method:3," "glob_max_iter:100000," "glob_upper_ratio_limit:c(1.000001)," "glob_lower_ratio_limit:c(0.999999)," "glob_look_poles:false," "glob_h:c(0.001)," "glob_display_interval:c(0.01)," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "" "exact_soln_y (x) := (block(" "" " (c(2.0) - cos(c(x))) " "" "));" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = -0.101 " " y[1] (closed_form) = 1.0050961656240234 " " y[1] (numeric) = 1.0050961656240234 " " 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] = -0.10200000000000001 " " y[1] (closed_form) = 1.0051974914298238 " " y[1] (numeric) = 1.0051974914298238 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10300000000000001 " " y[1] (closed_form) = 1.00529981203805 " " y[1] (numeric) = 1.00529981203805 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10400000000000001 " " y[1] (closed_form) = 1.0054031273463815 " " y[1] (numeric) = 1.0054031273463815 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10500000000000001 " " y[1] (closed_form) = 1.0055074372515027 " " y[1] (numeric) = 1.0055074372515025 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.208284063337985500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10600000000000001 " " y[1] (closed_form) = 1.0056127416491036 " " y[1] (numeric) = 1.0056127416491034 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20805281922840900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10700000000000001 " " y[1] (closed_form) = 1.0057190404338798 " " y[1] (numeric) = 1.0057190404338798 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10800000000000001 " " y[1] (closed_form) = 1.0058263334995332 " " y[1] (numeric) = 1.005826333499533 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.207583929051449300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.10900000000000001 " " y[1] (closed_form) = 1.00593462073877 " " y[1] (numeric) = 1.0059346207387698 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.207346286202568300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11000000000000001 " " y[1] (closed_form) = 1.0060439020433032 " " y[1] (numeric) = 1.006043902043303 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.2071065136824800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11100000000000002 " " y[1] (closed_form) = 1.0061541773038516 " " y[1] (numeric) = 1.0061541773038514 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.206864613135481600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11200000000000002 " " y[1] (closed_form) = 1.0062654464101397 " " y[1] (numeric) = 1.0062654464101397 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11300000000000002 " " y[1] (closed_form) = 1.0063777092508988 " " y[1] (numeric) = 1.0063777092508988 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11400000000000002 " " y[1] (closed_form) = 1.0064909657138656 " " y[1] (numeric) = 1.0064909657138656 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11500000000000002 " " y[1] (closed_form) = 1.0066052156857843 " " y[1] (numeric) = 1.006605215685784 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20587576405270070000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11600000000000002 " " y[1] (closed_form) = 1.0067204590524041 " " y[1] (numeric) = 1.0067204590524041 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11700000000000002 " " y[1] (closed_form) = 1.0068366956984822 " " y[1] (numeric) = 1.0068366956984822 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11800000000000002 " " y[1] (closed_form) = 1.006953925507782 " " y[1] (numeric) = 1.006953925507782 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.11900000000000002 " " y[1] (closed_form) = 1.0070721483630733 " " y[1] (numeric) = 1.0070721483630733 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12000000000000002 " " y[1] (closed_form) = 1.0071913641461339 " " y[1] (numeric) = 1.0071913641461336 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.204592025203412400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12100000000000002 " " y[1] (closed_form) = 1.007311572737747 " " y[1] (numeric) = 1.007311572737747 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12200000000000003 " " y[1] (closed_form) = 1.0074327740177051 " " y[1] (numeric) = 1.0074327740177051 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12300000000000003 " " y[1] (closed_form) = 1.0075549678648064 " " y[1] (numeric) = 1.0075549678648064 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12400000000000003 " " y[1] (closed_form) = 1.0076781541568571 " " y[1] (numeric) = 1.0076781541568571 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12500000000000003 " " y[1] (closed_form) = 1.0078023327706709 " " y[1] (numeric) = 1.0078023327706709 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12600000000000003 " " y[1] (closed_form) = 1.0079275035820694 " " y[1] (numeric) = 1.0079275035820692 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20298190232837100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12700000000000003 " " y[1] (closed_form) = 1.0080536664658815 " " y[1] (numeric) = 1.0080536664658812 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.202706188287512400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12800000000000003 " " y[1] (closed_form) = 1.0081808212959444 " " y[1] (numeric) = 1.0081808212959442 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.202428376286793800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.12900000000000003 " " y[1] (closed_form) = 1.0083089679451036 " " y[1] (numeric) = 1.0083089679451032 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.40429693643506900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13000000000000003 " " y[1] (closed_form) = 1.008438106285212 " " y[1] (numeric) = 1.0084381062852117 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20186646598449200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13100000000000003 " " y[1] (closed_form) = 1.0085682361871315 " " y[1] (numeric) = 1.0085682361871313 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20158237150582600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13200000000000003 " " y[1] (closed_form) = 1.0086993575207321 " " y[1] (numeric) = 1.0086993575207321 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13300000000000003 " " y[1] (closed_form) = 1.0088314701548928 " " y[1] (numeric) = 1.0088314701548928 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13400000000000004 " " y[1] (closed_form) = 1.0089645739575008 " " y[1] (numeric) = 1.0089645739575006 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.20071755397810600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13500000000000004 " " y[1] (closed_form) = 1.0090986687954522 " " y[1] (numeric) = 1.009098668795452 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.200425109965540300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13600000000000004 " " y[1] (closed_form) = 1.0092337545346521 " " y[1] (numeric) = 1.009233754534652 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.200130583498110500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13700000000000004 " " y[1] (closed_form) = 1.009369831040015 " " y[1] (numeric) = 1.0093698310400148 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19983397657373300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13800000000000004 " " y[1] (closed_form) = 1.0095068981754642 " " y[1] (numeric) = 1.009506898175464 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.199535291203501600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.13900000000000004 " " y[1] (closed_form) = 1.0096449558039327 " " y[1] (numeric) = 1.0096449558039327 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14000000000000004 " " y[1] (closed_form) = 1.0097840037873629 " " y[1] (numeric) = 1.0097840037873629 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14100000000000004 " " y[1] (closed_form) = 1.0099240419867068 " " y[1] (numeric) = 1.0099240419867068 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14200000000000004 " " y[1] (closed_form) = 1.010065070261926 " " y[1] (numeric) = 1.0100650702619263 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.198319805945290200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14300000000000004 " " y[1] (closed_form) = 1.0102070884719927 " " y[1] (numeric) = 1.010207088471993 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19801075897110320000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14400000000000004 " " y[1] (closed_form) = 1.0103500964748884 " " y[1] (numeric) = 1.0103500964748886 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.197699645892497700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14500000000000005 " " y[1] (closed_form) = 1.0104940941276053 " " y[1] (numeric) = 1.0104940941276053 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14600000000000005 " " y[1] (closed_form) = 1.0106390812861454 " " y[1] (numeric) = 1.0106390812861454 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14700000000000005 " " y[1] (closed_form) = 1.010785057805522 " " y[1] (numeric) = 1.010785057805522 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14800000000000005 " " y[1] (closed_form) = 1.010932023539758 " " y[1] (numeric) = 1.010932023539758 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.14900000000000005 " " y[1] (closed_form) = 1.0110799783418882 " " y[1] (numeric) = 1.0110799783418882 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15000000000000005 " " y[1] (closed_form) = 1.0112289220639576 " " y[1] (numeric) = 1.0112289220639576 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15100000000000005 " " y[1] (closed_form) = 1.0113788545570226 " " y[1] (numeric) = 1.0113788545570226 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15200000000000005 " " y[1] (closed_form) = 1.0115297756711508 " " y[1] (numeric) = 1.0115297756711508 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15300000000000005 " " y[1] (closed_form) = 1.0116816852554207 " " y[1] (numeric) = 1.011681685255421 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19480700462588100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15400000000000005 " " y[1] (closed_form) = 1.0118345831579232 " " y[1] (numeric) = 1.0118345831579234 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19447534825339570000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15500000000000005 " " y[1] (closed_form) = 1.0119884692257601 " " y[1] (numeric) = 1.0119884692257604 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.194141649607040400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15600000000000006 " " y[1] (closed_form) = 1.0121433433050455 " " y[1] (numeric) = 1.0121433433050457 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19380591092926100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15700000000000006 " " y[1] (closed_form) = 1.0122992052409052 " " y[1] (numeric) = 1.0122992052409054 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.193468134475019300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15800000000000006 " " y[1] (closed_form) = 1.0124560548774775 " " y[1] (numeric) = 1.0124560548774777 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.193128322511756500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.15900000000000006 " " y[1] (closed_form) = 1.0126138920579124 " " y[1] (numeric) = 1.0126138920579126 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.192786477319356700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16000000000000006 " " y[1] (closed_form) = 1.0127727166243732 " " y[1] (numeric) = 1.0127727166243734 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.192442601190108300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16100000000000006 " " y[1] (closed_form) = 1.0129325284180348 " " y[1] (numeric) = 1.0129325284180353 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.38419339285733840000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16200000000000006 " " y[1] (closed_form) = 1.013093327279086 " " y[1] (numeric) = 1.0130933272790863 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19174876535202600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16300000000000006 " " y[1] (closed_form) = 1.0132551130467276 " " y[1] (numeric) = 1.0132551130467278 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19139881028946220000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16400000000000006 " " y[1] (closed_form) = 1.0134178855591738 " " y[1] (numeric) = 1.013417885559174 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.191046833582512600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16500000000000006 " " y[1] (closed_form) = 1.0135816446536523 " " y[1] (numeric) = 1.0135816446536525 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.190692837584933300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16600000000000006 " " y[1] (closed_form) = 1.0137463901664039 " " y[1] (numeric) = 1.013746390166404 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.19033682466265780000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16700000000000007 " " y[1] (closed_form) = 1.0139121219326834 " " y[1] (numeric) = 1.0139121219326834 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16800000000000007 " " y[1] (closed_form) = 1.0140788397867584 " " y[1] (numeric) = 1.0140788397867586 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.18961875756842620000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.16900000000000007 " " y[1] (closed_form) = 1.014246543561912 " " y[1] (numeric) = 1.014246543561912 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17000000000000007 " " y[1] (closed_form) = 1.0144152330904395 " " y[1] (numeric) = 1.0144152330904395 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17100000000000007 " " y[1] (closed_form) = 1.0145849082036515 " " y[1] (numeric) = 1.0145849082036518 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.188526589836300200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17200000000000007 " " y[1] (closed_form) = 1.0147555687318737 " " y[1] (numeric) = 1.0147555687318737 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17300000000000007 " " y[1] (closed_form) = 1.0149272145044448 " " y[1] (numeric) = 1.0149272145044448 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17400000000000007 " " y[1] (closed_form) = 1.0150998453497193 " " y[1] (numeric) = 1.0150998453497193 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17500000000000007 " " y[1] (closed_form) = 1.0152734610950667 " " y[1] (numeric) = 1.0152734610950664 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.187042343109565600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17600000000000007 " " y[1] (closed_form) = 1.0154480615668704 " " y[1] (numeric) = 1.0154480615668704 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17700000000000007 " " y[1] (closed_form) = 1.015623646590531 " " y[1] (numeric) = 1.0156236465905308 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.186288254221329700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17800000000000007 " " y[1] (closed_form) = 1.0158002159904627 " " y[1] (numeric) = 1.0158002159904627 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.17900000000000008 " " y[1] (closed_form) = 1.0159777695900964 " " y[1] (numeric) = 1.0159777695900964 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18000000000000008 " " y[1] (closed_form) = 1.0161563072118787 " " y[1] (numeric) = 1.0161563072118787 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18100000000000008 " " y[1] (closed_form) = 1.0163358286772715 " " y[1] (numeric) = 1.0163358286772717 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.184756245521869100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18200000000000008 " " y[1] (closed_form) = 1.016516333806754 " " y[1] (numeric) = 1.016516333806754 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18300000000000008 " " y[1] (closed_form) = 1.0166978224198204 " " y[1] (numeric) = 1.0166978224198207 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.183978366320759600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18400000000000008 " " y[1] (closed_form) = 1.0168802943349826 " " y[1] (numeric) = 1.0168802943349828 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.18358646698177600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18500000000000008 " " y[1] (closed_form) = 1.0170637493697685 " " y[1] (numeric) = 1.0170637493697687 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.183192597933246400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18600000000000008 " " y[1] (closed_form) = 1.0172481873407233 " " y[1] (numeric) = 1.0172481873407233 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18700000000000008 " " y[1] (closed_form) = 1.0174336080634085 " " y[1] (numeric) = 1.0174336080634088 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.182398961124085700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18800000000000008 " " y[1] (closed_form) = 1.017620011352404 " " y[1] (numeric) = 1.0176200113524043 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.181999198600043700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.18900000000000008 " " y[1] (closed_form) = 1.0178073970213064 " " y[1] (numeric) = 1.0178073970213066 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.18159747683955100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.19000000000000009 " " y[1] (closed_form) = 1.0179957648827296 " " y[1] (numeric) = 1.01799576488273 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.36238759697807300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1910000000000001 " " y[1] (closed_form) = 1.0181851147483063 " " y[1] (numeric) = 1.0181851147483068 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.36157633241221300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1920000000000001 " " y[1] (closed_form) = 1.0183754464286865 " " y[1] (numeric) = 1.018375446428687 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.3607611653190100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1930000000000001 " " y[1] (closed_form) = 1.0185667597335382 " " y[1] (numeric) = 1.0185667597335388 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.53991315158721300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1940000000000001 " " y[1] (closed_form) = 1.0187590544715488 " " y[1] (numeric) = 1.0187590544715492 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.35911914501138600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1950000000000001 " " y[1] (closed_form) = 1.0189523304504227 " " y[1] (numeric) = 1.0189523304504233 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.53743845387382300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1960000000000001 " " y[1] (closed_form) = 1.0191465874768846 " " y[1] (numeric) = 1.0191465874768852 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.53619236879604100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1970000000000001 " " y[1] (closed_form) = 1.0193418253566775 " " y[1] (numeric) = 1.019341825356678 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.356626980303408600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1980000000000001 " " y[1] (closed_form) = 1.019538043894563 " " y[1] (numeric) = 1.0195380438945636 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.53368276705506800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.1990000000000001 " " y[1] (closed_form) = 1.019735242894323 " " y[1] (numeric) = 1.0197352428943236 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.53241926683244500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2000000000000001 " " y[1] (closed_form) = 1.0199334221587584 " " y[1] (numeric) = 1.019933422158759 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.5311499780561800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2010000000000001 " " y[1] (closed_form) = 1.02013258148969 " " y[1] (numeric) = 1.0201325814896907 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.52987490902746200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2020000000000001 " " y[1] (closed_form) = 1.0203327206879584 " " y[1] (numeric) = 1.020332720687959 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.52859406807961400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2030000000000001 " " y[1] (closed_form) = 1.0205338395534245 " " y[1] (numeric) = 1.0205338395534251 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.52730746357795900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2040000000000001 " " y[1] (closed_form) = 1.0207359378849694 " " y[1] (numeric) = 1.02073593788497 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.52601510391968800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2050000000000001 " " y[1] (closed_form) = 1.020939015480495 " " y[1] (numeric) = 1.0209390154804956 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.52471699753373300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2060000000000001 " " y[1] (closed_form) = 1.0211430721369235 " " y[1] (numeric) = 1.021143072136924 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.34894210192041900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2070000000000001 " " y[1] (closed_form) = 1.021348107650198 " " y[1] (numeric) = 1.0213481076501987 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.52210357845239600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2080000000000001 " " y[1] (closed_form) = 1.0215541218152835 " " y[1] (numeric) = 1.0215541218152842 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.5207882827723910000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2090000000000001 " " y[1] (closed_form) = 1.0217611144261656 " " y[1] (numeric) = 1.0217611144261662 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.51946727439518400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2100000000000001 " " y[1] (closed_form) = 1.0219690852758516 " " y[1] (numeric) = 1.0219690852758525 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.69085408254190600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2110000000000001 " " y[1] (closed_form) = 1.0221780341563713 " " y[1] (numeric) = 1.022178034156372 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.51680815392272200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2120000000000001 " " y[1] (closed_form) = 1.022387960858775 " " y[1] (numeric) = 1.0223879608587758 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.68729341212197200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2130000000000001 " " y[1] (closed_form) = 1.0225988651731364 " " y[1] (numeric) = 1.0225988651731373 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.68550171478771900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2140000000000001 " " y[1] (closed_form) = 1.0228107468885512 " " y[1] (numeric) = 1.0228107468885521 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.68370245817239200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2150000000000001 " " y[1] (closed_form) = 1.0230236057931377 " " y[1] (numeric) = 1.0230236057931386 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.68189565392805800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2160000000000001 " " y[1] (closed_form) = 1.0232374416740369 " " y[1] (numeric) = 1.0232374416740377 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.68008131374715700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2170000000000001 " " y[1] (closed_form) = 1.0234522543174132 " " y[1] (numeric) = 1.023452254317414 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.67825944936231300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2180000000000001 " " y[1] (closed_form) = 1.0236680435084535 " " y[1] (numeric) = 1.0236680435084546 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.08455375906827190000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2190000000000001 " " y[1] (closed_form) = 1.0238848090313692 " " y[1] (numeric) = 1.0238848090313704 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.08432414938890080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2200000000000001 " " y[1] (closed_form) = 1.0241025506693946 " " y[1] (numeric) = 1.0241025506693957 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0840936036136910000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2210000000000001 " " y[1] (closed_form) = 1.0243212682047877 " " y[1] (numeric) = 1.024321268204789 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.30063454787490930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22200000000000011 " " y[1] (closed_form) = 1.0245409614188317 " " y[1] (numeric) = 1.0245409614188328 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.08362970972645980000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22300000000000011 " " y[1] (closed_form) = 1.0247616300918327 " " y[1] (numeric) = 1.0247616300918339 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.08339636460204430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22400000000000012 " " y[1] (closed_form) = 1.0249832740031222 " " y[1] (numeric) = 1.0249832740031235 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2997945072283490000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22500000000000012 " " y[1] (closed_form) = 1.0252058929310568 " " y[1] (numeric) = 1.025205892931058 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.08292688549715260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22600000000000012 " " y[1] (closed_form) = 1.025429486653017 " " y[1] (numeric) = 1.0254294866530183 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29922890544008550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22700000000000012 " " y[1] (closed_form) = 1.0256540549454094 " " y[1] (numeric) = 1.0256540549454107 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.298944437577540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22800000000000012 " " y[1] (closed_form) = 1.0258795975836656 " " y[1] (numeric) = 1.025879597583667 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29865886083335880000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.22900000000000012 " " y[1] (closed_form) = 1.0261061143422432 " " y[1] (numeric) = 1.0261061143422445 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29837217703765580000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23000000000000012 " " y[1] (closed_form) = 1.0263336049946252 " " y[1] (numeric) = 1.0263336049946266 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29808438802621550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23100000000000012 " " y[1] (closed_form) = 1.026562069313321 " " y[1] (numeric) = 1.0265620693133224 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29779549564047000000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23200000000000012 " " y[1] (closed_form) = 1.0267915070698665 " " y[1] (numeric) = 1.0267915070698679 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29750550172746560000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23300000000000012 " " y[1] (closed_form) = 1.0270219180348237 " " y[1] (numeric) = 1.0270219180348252 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.5134168094964810000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23400000000000012 " " y[1] (closed_form) = 1.0272533019777819 " " y[1] (numeric) = 1.0272533019777834 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.51307591952509170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23500000000000013 " " y[1] (closed_form) = 1.027485658667357 " " y[1] (numeric) = 1.0274856586673586 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.51273375094223030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23600000000000013 " " y[1] (closed_form) = 1.0277189878711925 " " y[1] (numeric) = 1.027718987871194 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.51239030592867300000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23700000000000013 " " y[1] (closed_form) = 1.0279532893559589 " " y[1] (numeric) = 1.0279532893559606 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.7280520990532430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23800000000000013 " " y[1] (closed_form) = 1.028188562887355 " " y[1] (numeric) = 1.0281885628873568 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.7276566804165690000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.23900000000000013 " " y[1] (closed_form) = 1.0284248082301075 " " y[1] (numeric) = 1.028424808230109 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.51135233420725270000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24000000000000013 " " y[1] (closed_form) = 1.0286620251479706 " " y[1] (numeric) = 1.0286620251479721 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.51100380540599320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24100000000000013 " " y[1] (closed_form) = 1.0289002134037273 " " y[1] (numeric) = 1.028900213403729 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.72646172705499370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24200000000000013 " " y[1] (closed_form) = 1.02913937275919 " " y[1] (numeric) = 1.0291393727591918 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.72606051854543420000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24300000000000013 " " y[1] (closed_form) = 1.029379502975199 " " y[1] (numeric) = 1.0293795029752006 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.50995063529321820000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24400000000000013 " " y[1] (closed_form) = 1.0296206038116242 " " y[1] (numeric) = 1.0296206038116258 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.50959705810198660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24500000000000013 " " y[1] (closed_form) = 1.0298626750273647 " " y[1] (numeric) = 1.0298626750273663 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.50924222439066400000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24600000000000014 " " y[1] (closed_form) = 1.030105716380349 " " y[1] (numeric) = 1.0301057163803509 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.7244412987456530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24700000000000014 " " y[1] (closed_form) = 1.0303497276275366 " " y[1] (numeric) = 1.0303497276275382 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.50852879638659040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24800000000000014 " " y[1] (closed_form) = 1.0305947085249154 " " y[1] (numeric) = 1.0305947085249172 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.72362309325529150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.24900000000000014 " " y[1] (closed_form) = 1.0308406588275052 " " y[1] (numeric) = 1.0308406588275068 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.50781036929909100000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2500000000000001 " " y[1] (closed_form) = 1.0310875782893554 " " y[1] (numeric) = 1.0310875782893567 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2920993886479660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2510000000000001 " " y[1] (closed_form) = 1.0313354666635464 " " y[1] (numeric) = 1.0313354666635477 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29178882392184340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2520000000000001 " " y[1] (closed_form) = 1.03158432370219 " " y[1] (numeric) = 1.0315843237021913 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2914771957457571000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2530000000000001 " " y[1] (closed_form) = 1.0318341491564291 " " y[1] (numeric) = 1.0318341491564305 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29116450607820700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2540000000000001 " " y[1] (closed_form) = 1.0320849427764385 " " y[1] (numeric) = 1.0320849427764398 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29085075688268460000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2550000000000001 " " y[1] (closed_form) = 1.0323367043114244 " " y[1] (numeric) = 1.0323367043114258 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29053595012764670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2560000000000001 " " y[1] (closed_form) = 1.0325894335096255 " " y[1] (numeric) = 1.0325894335096268 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.29022008778648700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2570000000000001 " " y[1] (closed_form) = 1.0328431301183123 " " y[1] (numeric) = 1.0328431301183136 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2899031718375050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2580000000000001 " " y[1] (closed_form) = 1.0330977938837886 " " y[1] (numeric) = 1.0330977938837898 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07465433688656530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2590000000000001 " " y[1] (closed_form) = 1.0333534245513902 " " y[1] (numeric) = 1.0333534245513916 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28926618705363570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2600000000000001 " " y[1] (closed_form) = 1.0336100218654867 " " y[1] (numeric) = 1.0336100218654882 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.50377047589956150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2610000000000001 " " y[1] (closed_form) = 1.033867585569481 " " y[1] (numeric) = 1.0338675855694823 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28862501169948200000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2620000000000001 " " y[1] (closed_form) = 1.034126115405809 " " y[1] (numeric) = 1.0341261154058103 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28830285755561130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2630000000000001 " " y[1] (closed_form) = 1.0343856111159413 " " y[1] (numeric) = 1.0343856111159426 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2879796617751460000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2640000000000001 " " y[1] (closed_form) = 1.034646072440382 " " y[1] (numeric) = 1.0346460724403832 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07304618864160360000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2650000000000001 " " y[1] (closed_form) = 1.0349074991186697 " " y[1] (numeric) = 1.0349074991186709 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07277512779705010000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2660000000000001 " " y[1] (closed_form) = 1.035169890889378 " " y[1] (numeric) = 1.0351698908893792 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07250320396326040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2670000000000001 " " y[1] (closed_form) = 1.035433247490115 " " y[1] (numeric) = 1.035433247490116 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0722304188283810000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.2680000000000001 " " y[1] (closed_form) = 1.035697568657524 " " y[1] (numeric) = 1.0356975686575252 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07195677408438130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.26900000000000013 " " y[1] (closed_form) = 1.035962854127284 " " y[1] (numeric) = 1.0359628541272852 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07168227142702980000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27000000000000013 " " y[1] (closed_form) = 1.0362291036341094 " " y[1] (numeric) = 1.0362291036341107 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28568829506704260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27100000000000013 " " y[1] (closed_form) = 1.0364963169117511 " " y[1] (numeric) = 1.0364963169117523 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07113069917418980000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27200000000000013 " " y[1] (closed_form) = 1.0367644936929956 " " y[1] (numeric) = 1.0367644936929967 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07085363298901060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27300000000000013 " " y[1] (closed_form) = 1.0370336337096662 " " y[1] (numeric) = 1.0370336337096673 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.07057571571104990000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27400000000000013 " " y[1] (closed_form) = 1.0373037366926225 " " y[1] (numeric) = 1.0373037366926239 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28435633886564320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27500000000000013 " " y[1] (closed_form) = 1.0375748023717621 " " y[1] (numeric) = 1.0375748023717635 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2840208016856190000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27600000000000013 " " y[1] (closed_form) = 1.037846830476019 " " y[1] (numeric) = 1.0378468304760204 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28368424937919750000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27700000000000014 " " y[1] (closed_form) = 1.0381198207333653 " " y[1] (numeric) = 1.0381198207333668 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.49723779801949730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27800000000000014 " " y[1] (closed_form) = 1.038393772870811 " " y[1] (numeric) = 1.0383937728708124 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28300810767278980000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.27900000000000014 " " y[1] (closed_form) = 1.0386686866144035 " " y[1] (numeric) = 1.0386686866144048 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28266852242632430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28000000000000014 " " y[1] (closed_form) = 1.0389445616892292 " " y[1] (numeric) = 1.0389445616892306 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2823279303604440000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28100000000000014 " " y[1] (closed_form) = 1.039221397819413 " " y[1] (numeric) = 1.0392213978194145 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.49565072248956380000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28200000000000014 " " y[1] (closed_form) = 1.0394991947281191 " " y[1] (numeric) = 1.0394991947281205 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28164373412395230000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28300000000000014 " " y[1] (closed_form) = 1.0397779521375505 " " y[1] (numeric) = 1.0397779521375519 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28130013414050950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28400000000000014 " " y[1] (closed_form) = 1.0400576697689496 " " y[1] (numeric) = 1.040057669768951 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.28095553571193150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28500000000000014 " " y[1] (closed_form) = 1.040338347342599 " " y[1] (numeric) = 1.0403383473426004 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.49404493109909470000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28600000000000014 " " y[1] (closed_form) = 1.040619984577821 " " y[1] (numeric) = 1.0406199845778226 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.49364057726202800000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28700000000000014 " " y[1] (closed_form) = 1.0409025811929786 " " y[1] (numeric) = 1.0409025811929802 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.49323506594999660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28800000000000014 " " y[1] (closed_form) = 1.041186136905475 " " y[1] (numeric) = 1.0411861369054767 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.70608959957898350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.28900000000000015 " " y[1] (closed_form) = 1.0414706514317547 " " y[1] (numeric) = 1.0414706514317562 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.49242058078011030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29000000000000015 " " y[1] (closed_form) = 1.041756124487303 " " y[1] (numeric) = 1.0417561244873046 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.49201161187333450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29100000000000015 " " y[1] (closed_form) = 1.0420425557866468 " " y[1] (numeric) = 1.0420425557866486 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.7046874233070680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29200000000000015 " " y[1] (closed_form) = 1.0423299450433552 " " y[1] (numeric) = 1.042329945043357 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.70421741008924350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29300000000000015 " " y[1] (closed_form) = 1.0426182919700386 " " y[1] (numeric) = 1.0426182919700404 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.70374609104910760000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29400000000000015 " " y[1] (closed_form) = 1.0429075962783503 " " y[1] (numeric) = 1.042907596278352 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.70327346903909580000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29500000000000015 " " y[1] (closed_form) = 1.0431978576789862 " " y[1] (numeric) = 1.0431978576789878 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4899496035521131000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29600000000000015 " " y[1] (closed_form) = 1.0434890758816846 " " y[1] (numeric) = 1.0434890758816862 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.48953378660137860000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29700000000000015 " " y[1] (closed_form) = 1.0437812505952273 " " y[1] (numeric) = 1.0437812505952289 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.48911683706605800000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29800000000000015 " " y[1] (closed_form) = 1.0440743815274396 " " y[1] (numeric) = 1.0440743815274414 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.7013700085251690000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.29900000000000015 " " y[1] (closed_form) = 1.0443684683851908 " " y[1] (numeric) = 1.0443684683851926 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.70089091462792330000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30000000000000016 " " y[1] (closed_form) = 1.044663510874394 " " y[1] (numeric) = 1.0446635108743958 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.7004105349802268000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30100000000000016 " " y[1] (closed_form) = 1.0449595087000068 " " y[1] (numeric) = 1.0449595087000085 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6999288724690840000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30200000000000016 " " y[1] (closed_form) = 1.0452564615660314 " " y[1] (numeric) = 1.045256461566033 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.48701518873799340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30300000000000016 " " y[1] (closed_form) = 1.0455543691755145 " " y[1] (numeric) = 1.0455543691755163 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.69896171042833470000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30400000000000016 " " y[1] (closed_form) = 1.045853231230549 " " y[1] (numeric) = 1.0458532312305509 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.69847621669647870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30500000000000016 " " y[1] (closed_form) = 1.046153047432273 " " y[1] (numeric) = 1.0461530474322747 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.48574077023452320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30600000000000016 " " y[1] (closed_form) = 1.04645381748087 " " y[1] (numeric) = 1.0464538174808715 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4853137410468029000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30700000000000016 " " y[1] (closed_form) = 1.0467555410755698 " " y[1] (numeric) = 1.0467555410755716 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.69701211953938700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30800000000000016 " " y[1] (closed_form) = 1.0470582179146493 " " y[1] (numeric) = 1.047058217914651 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6965215582167850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.30900000000000016 " " y[1] (closed_form) = 1.0473618476954316 " " y[1] (numeric) = 1.0473618476954332 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.48402602013359450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31000000000000016 " " y[1] (closed_form) = 1.0476664301142866 " " y[1] (numeric) = 1.0476664301142882 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4835945772412160000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31100000000000017 " " y[1] (closed_form) = 1.0479719648666324 " " y[1] (numeric) = 1.0479719648666337 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.27128174628195870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31200000000000017 " " y[1] (closed_form) = 1.0482784516469337 " " y[1] (numeric) = 1.048278451646935 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2709100596860340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31300000000000017 " " y[1] (closed_form) = 1.0485858901487042 " " y[1] (numeric) = 1.0485858901487055 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.27053743719673120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31400000000000017 " " y[1] (closed_form) = 1.0488942800645051 " " y[1] (numeric) = 1.0488942800645065 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2701638810236010000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31500000000000017 " " y[1] (closed_form) = 1.0492036210859468 " " y[1] (numeric) = 1.0492036210859481 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2697893933793940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31600000000000017 " " y[1] (closed_form) = 1.0495139129036881 " " y[1] (numeric) = 1.0495139129036894 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26941397648003100000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31700000000000017 " " y[1] (closed_form) = 1.0498251552074374 " " y[1] (numeric) = 1.0498251552074387 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26903763254457540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.31800000000000017 " " y[1] (closed_form) = 1.0501373476859523 " " y[1] (numeric) = 1.0501373476859535 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.05721696982933420000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3190000000000002 " " y[1] (closed_form) = 1.0504504900270404 " " y[1] (numeric) = 1.0504504900270415 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.05690181038097050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3200000000000002 " " y[1] (closed_form) = 1.050764581917559 " " y[1] (numeric) = 1.0507645819175604 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26790306075877520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3210000000000002 " " y[1] (closed_form) = 1.051079623043417 " " y[1] (numeric) = 1.0510796230434183 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26752303093136430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3220000000000002 " " y[1] (closed_form) = 1.0513956130895727 " " y[1] (numeric) = 1.051395613089574 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26714208520925850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3230000000000002 " " y[1] (closed_form) = 1.0517125517400363 " " y[1] (numeric) = 1.0517125517400376 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2667602258297470000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3240000000000002 " " y[1] (closed_form) = 1.0520304386778692 " " y[1] (numeric) = 1.0520304386778705 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26637745503305450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3250000000000002 " " y[1] (closed_form) = 1.0523492735851843 " " y[1] (numeric) = 1.0523492735851856 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26599377506231070000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3260000000000002 " " y[1] (closed_form) = 1.0526690561431469 " " y[1] (numeric) = 1.0526690561431482 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26560918816352100000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3270000000000002 " " y[1] (closed_form) = 1.0529897860319744 " " y[1] (numeric) = 1.0529897860319757 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26522369658553650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3280000000000002 " " y[1] (closed_form) = 1.053311462930937 " " y[1] (numeric) = 1.0533114629309381 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.05403108548335530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3290000000000002 " " y[1] (closed_form) = 1.0536340865183578 " " y[1] (numeric) = 1.0536340865183589 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.05370834033453880000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3300000000000002 " " y[1] (closed_form) = 1.053957656471613 " " y[1] (numeric) = 1.0539576564716142 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0533848469225090000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3310000000000002 " " y[1] (closed_form) = 1.0542821724671332 " " y[1] (numeric) = 1.0542821724671343 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.0530606071305519000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3320000000000002 " " y[1] (closed_form) = 1.0546076341804018 " " y[1] (numeric) = 1.0546076341804032 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26328274741304340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3330000000000002 " " y[1] (closed_form) = 1.0549340412859576 " " y[1] (numeric) = 1.054934041285959 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26289187514146640000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3340000000000002 " " y[1] (closed_form) = 1.0552613934573936 " " y[1] (numeric) = 1.0552613934573947 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.05208342834156950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3350000000000002 " " y[1] (closed_form) = 1.055589690367357 " " y[1] (numeric) = 1.0555896903673583 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26210746628886040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3360000000000002 " " y[1] (closed_form) = 1.0559189316875517 " " y[1] (numeric) = 1.0559189316875528 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.05142827854295310000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3370000000000002 " " y[1] (closed_form) = 1.0562491170887358 " " y[1] (numeric) = 1.056249117088737 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.05109960014469430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3380000000000002 " " y[1] (closed_form) = 1.056580246240724 " " y[1] (numeric) = 1.0565802462407254 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26092422633335230000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3390000000000002 " " y[1] (closed_form) = 1.0569123188123877 " " y[1] (numeric) = 1.056912318812389 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2605280550114190000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3400000000000002 " " y[1] (closed_form) = 1.057245334471654 " " y[1] (numeric) = 1.0572453344716553 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2601310084910170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3410000000000002 " " y[1] (closed_form) = 1.057579292885507 " " y[1] (numeric) = 1.0575792928855083 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25973308905776630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3420000000000002 " " y[1] (closed_form) = 1.0579141937199887 " " y[1] (numeric) = 1.05791419371999 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25933429899969330000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3430000000000002 " " y[1] (closed_form) = 1.0582500366401981 " " y[1] (numeric) = 1.0582500366401995 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25893464060720360000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3440000000000002 " " y[1] (closed_form) = 1.0585868213102925 " " y[1] (numeric) = 1.0585868213102938 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25853411617305040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3450000000000002 " " y[1] (closed_form) = 1.0589245473934872 " " y[1] (numeric) = 1.0589245473934883 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04844393999358980000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3460000000000002 " " y[1] (closed_form) = 1.0592632145520557 " " y[1] (numeric) = 1.059263214552057 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25773047836234080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3470000000000002 " " y[1] (closed_form) = 1.0596028224473315 " " y[1] (numeric) = 1.0596028224473328 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25732736958277520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3480000000000002 " " y[1] (closed_form) = 1.0599433707397066 " " y[1] (numeric) = 1.059943370739708 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2569234039554710000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3490000000000002 " " y[1] (closed_form) = 1.0602848590886325 " " y[1] (numeric) = 1.0602848590886338 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25651858378449170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3500000000000002 " " y[1] (closed_form) = 1.060627287152621 " " y[1] (numeric) = 1.0606272871526223 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25611291137607580000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3510000000000002 " " y[1] (closed_form) = 1.0609706545892443 " " y[1] (numeric) = 1.0609706545892454 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04642199086550630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3520000000000002 " " y[1] (closed_form) = 1.0613149610551345 " " y[1] (numeric) = 1.0613149610551358 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.25529901908259050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3530000000000002 " " y[1] (closed_form) = 1.0616602062059854 " " y[1] (numeric) = 1.0616602062059868 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2548908038206140000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3540000000000002 " " y[1] (closed_form) = 1.0620063896965521 " " y[1] (numeric) = 1.0620063896965533 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04540145463944090000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3550000000000002 " " y[1] (closed_form) = 1.0623535111806508 " " y[1] (numeric) = 1.062353511180652 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04505987219951450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3560000000000002 " " y[1] (closed_form) = 1.0627015703111602 " " y[1] (numeric) = 1.0627015703111613 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04471759112963580000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3570000000000002 " " y[1] (closed_form) = 1.0630505667400212 " " y[1] (numeric) = 1.0630505667400223 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04437461336368570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3580000000000002 " " y[1] (closed_form) = 1.0634005001182374 " " y[1] (numeric) = 1.0634005001182385 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04403094083716620000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3590000000000002 " " y[1] (closed_form) = 1.0637513700958754 " " y[1] (numeric) = 1.0637513700958765 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04368657548717670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3600000000000002 " " y[1] (closed_form) = 1.0641031763220652 " " y[1] (numeric) = 1.0641031763220663 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04334151925238930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3610000000000002 " " y[1] (closed_form) = 1.0644559184450006 " " y[1] (numeric) = 1.0644559184450018 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.04299577407302530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3620000000000002 " " y[1] (closed_form) = 1.06480959611194 " " y[1] (numeric) = 1.0648095961119408 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.34119473512665400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3630000000000002 " " y[1] (closed_form) = 1.065164208969205 " " y[1] (numeric) = 1.065164208969206 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.33841779719246400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3640000000000002 " " y[1] (closed_form) = 1.0655197566621832 " " y[1] (numeric) = 1.0655197566621841 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.3356353943394490000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3650000000000002 " " y[1] (closed_form) = 1.065876238835327 " " y[1] (numeric) = 1.0658762388353278 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.33284754213706400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3660000000000002 " " y[1] (closed_form) = 1.066233655132154 " " y[1] (numeric) = 1.0662336551321547 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.24754069212465600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3670000000000002 " " y[1] (closed_form) = 1.0665920051952482 " " y[1] (numeric) = 1.0665920051952489 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.2454416640142810000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3680000000000002 " " y[1] (closed_form) = 1.0669512886662593 " " y[1] (numeric) = 1.06695128866626 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.24333858397409500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3690000000000002 " " y[1] (closed_form) = 1.067311505185904 " " y[1] (numeric) = 1.0673115051859046 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.24123146371468200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3700000000000002 " " y[1] (closed_form) = 1.0676726543939656 " " y[1] (numeric) = 1.0676726543939663 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.23912031495464400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3710000000000002 " " y[1] (closed_form) = 1.0680347359292952 " " y[1] (numeric) = 1.0680347359292959 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.23700514942046400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3720000000000002 " " y[1] (closed_form) = 1.0683977494298116 " " y[1] (numeric) = 1.068397749429812 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.156590652564240400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3730000000000002 " " y[1] (closed_form) = 1.0687616945325005 " " y[1] (numeric) = 1.0687616945325011 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.23276281497415900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3740000000000002 " " y[1] (closed_form) = 1.0691265708734172 " " y[1] (numeric) = 1.0691265708734181 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.30751422607084500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3750000000000002 " " y[1] (closed_form) = 1.069492378087686 " " y[1] (numeric) = 1.0694923780876866 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.22850455433987800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3760000000000002 " " y[1] (closed_form) = 1.0698591158094986 " " y[1] (numeric) = 1.0698591158094994 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.30182597479756500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3770000000000002 " " y[1] (closed_form) = 1.0702267836721182 " " y[1] (numeric) = 1.0702267836721189 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.2242304615988300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3780000000000002 " " y[1] (closed_form) = 1.0705953813078763 " " y[1] (numeric) = 1.0705953813078772 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.29611667682608300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3790000000000002 " " y[1] (closed_form) = 1.070964908348176 " " y[1] (numeric) = 1.070964908348177 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.29325417459312300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3800000000000002 " " y[1] (closed_form) = 1.07133536442349 " " y[1] (numeric) = 1.0713353644234906 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.21778984336576700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.3810000000000002 " " y[1] (closed_form) = 1.0717067491633618 " " y[1] (numeric) = 1.0717067491633627 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.28751354223989300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38200000000000023 " " y[1] (closed_form) = 1.0720790621964074 " " y[1] (numeric) = 1.0720790621964083 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.28463544358829200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38300000000000023 " " y[1] (closed_form) = 1.0724523031503133 " " y[1] (numeric) = 1.0724523031503141 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.28175217761306400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38400000000000023 " " y[1] (closed_form) = 1.0728264716518388 " " y[1] (numeric) = 1.0728264716518396 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.27886376006914200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38500000000000023 " " y[1] (closed_form) = 1.0732015673268154 " " y[1] (numeric) = 1.0732015673268163 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.27597020671936600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38600000000000023 " " y[1] (closed_form) = 1.0735775898001474 " " y[1] (numeric) = 1.0735775898001483 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.27307153333430400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38700000000000023 " " y[1] (closed_form) = 1.0739545386958125 " " y[1] (numeric) = 1.0739545386958134 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.27016775569206300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38800000000000023 " " y[1] (closed_form) = 1.0743324136368617 " " y[1] (numeric) = 1.0743324136368626 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.2672588895781100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.38900000000000023 " " y[1] (closed_form) = 1.07471121424542 " " y[1] (numeric) = 1.074711214245421 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.26434495078509200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39000000000000024 " " y[1] (closed_form) = 1.0750909401426871 " " y[1] (numeric) = 1.075090940142688 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.26142595511264600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39100000000000024 " " y[1] (closed_form) = 1.0754715909489367 " " y[1] (numeric) = 1.0754715909489379 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.03231273979590400000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39200000000000024 " " y[1] (closed_form) = 1.0758531662835187 " " y[1] (numeric) = 1.0758531662835196 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.25557285636192800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39300000000000024 " " y[1] (closed_form) = 1.076235665764857 " " y[1] (numeric) = 1.0762356657648582 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.03157984811453480000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39400000000000024 " " y[1] (closed_form) = 1.076619089010453 " " y[1] (numeric) = 1.076619089010454 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.24969971985609000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39500000000000024 " " y[1] (closed_form) = 1.077003435636883 " " y[1] (numeric) = 1.0770034356368836 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.18506675775994700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39600000000000024 " " y[1] (closed_form) = 1.0773887052598001 " " y[1] (numeric) = 1.0773887052598008 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.18285500416920800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39700000000000024 " " y[1] (closed_form) = 1.0777748974939354 " " y[1] (numeric) = 1.0777748974939358 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.12042636066833670000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39800000000000024 " " y[1] (closed_form) = 1.0781620119530961 " " y[1] (numeric) = 1.0781620119530966 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.11894692009777500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.39900000000000024 " " y[1] (closed_form) = 1.0785500482501682 " " y[1] (numeric) = 1.0785500482501686 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.117465022328354300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40000000000000024 " " y[1] (closed_form) = 1.078939005997115 " " y[1] (numeric) = 1.0789390059971156 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.17397101293486100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40100000000000025 " " y[1] (closed_form) = 1.0793288848049793 " " y[1] (numeric) = 1.0793288848049798 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.114493886914772400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40200000000000025 " " y[1] (closed_form) = 1.0797196842838819 " " y[1] (numeric) = 1.0797196842838825 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.16950699770657200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40300000000000025 " " y[1] (closed_form) = 1.0801114040430235 " " y[1] (numeric) = 1.0801114040430242 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.16726952684373400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40400000000000025 " " y[1] (closed_form) = 1.0805040436906848 " " y[1] (numeric) = 1.0805040436906852 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.11001895312843200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40500000000000025 " " y[1] (closed_form) = 1.0808976028342254 " " y[1] (numeric) = 1.0808976028342259 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.108522478777034700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40600000000000025 " " y[1] (closed_form) = 1.0812920810800866 " " y[1] (numeric) = 1.0812920810800872 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.16053540417777500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40700000000000025 " " y[1] (closed_form) = 1.0816874780337904 " " y[1] (numeric) = 1.0816874780337908 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.105522333098413600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40800000000000025 " " y[1] (closed_form) = 1.0820837932999394 " " y[1] (numeric) = 1.0820837932999399 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.10401867766415130000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.40900000000000025 " " y[1] (closed_form) = 1.0824810264822187 " " y[1] (numeric) = 1.082481026482219 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.102512644431624600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41000000000000025 " " y[1] (closed_form) = 1.082879177183395 " " y[1] (numeric) = 1.0828791771833954 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.10100424135177830000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41100000000000025 " " y[1] (closed_form) = 1.0832782450053178 " " y[1] (numeric) = 1.0832782450053182 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.09949347637718500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41200000000000025 " " y[1] (closed_form) = 1.083678229548919 " " y[1] (numeric) = 1.0836782295489196 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.14697053619294500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41300000000000026 " " y[1] (closed_form) = 1.0840791304142146 " " y[1] (numeric) = 1.084079130414215 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.09646489256168100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41400000000000026 " " y[1] (closed_form) = 1.0844809472003032 " " y[1] (numeric) = 1.0844809472003036 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.094947089633281000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41500000000000026 " " y[1] (closed_form) = 1.0848836795053685 " " y[1] (numeric) = 1.084883679505369 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.09342695663498600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41600000000000026 " " y[1] (closed_form) = 1.0852873269266778 " " y[1] (numeric) = 1.0852873269266783 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.091904501526215700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41700000000000026 " " y[1] (closed_form) = 1.085691889060584 " " y[1] (numeric) = 1.0856918890605847 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.13556959840124700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41800000000000026 " " y[1] (closed_form) = 1.0860973655025252 " " y[1] (numeric) = 1.0860973655025257 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.0888526568203900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.41900000000000026 " " y[1] (closed_form) = 1.0865037558470245 " " y[1] (numeric) = 1.086503755847025 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.087323283147386600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42000000000000026 " " y[1] (closed_form) = 1.0869110596876919 " " y[1] (numeric) = 1.0869110596876923 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.08579161921183500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42100000000000026 " " y[1] (closed_form) = 1.0873192766172235 " " y[1] (numeric) = 1.087319276617224 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.08425767297785500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42200000000000026 " " y[1] (closed_form) = 1.0877284062274024 " " y[1] (numeric) = 1.0877284062274029 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.0827214524102495000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42300000000000026 " " y[1] (closed_form) = 1.088138448109099 " " y[1] (numeric) = 1.0881384481090994 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.0811829654744197000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42400000000000027 " " y[1] (closed_form) = 1.0885494018522717 " " y[1] (numeric) = 1.0885494018522721 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.079642220136284000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42500000000000027 " " y[1] (closed_form) = 1.0889612670459665 " " y[1] (numeric) = 1.088961267045967 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.07809922436219200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42600000000000027 " " y[1] (closed_form) = 1.089374043278318 " " y[1] (numeric) = 1.0893740432783188 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.11483097917826100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42700000000000027 " " y[1] (closed_form) = 1.089787730136551 " " y[1] (numeric) = 1.0897877301365515 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.075006513373186000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42800000000000027 " " y[1] (closed_form) = 1.0902023272069776 " " y[1] (numeric) = 1.090202327206978 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.07345681409237300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.42900000000000027 " " y[1] (closed_form) = 1.0906178340750012 " " y[1] (numeric) = 1.0906178340750017 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.07190489624363550000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.43000000000000027 " " y[1] (closed_form) = 1.091034250325115 " " y[1] (numeric) = 1.0910342503251154 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.070350767794223600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.43100000000000027 " " y[1] (closed_form) = 1.0914515755409027 " " y[1] (numeric) = 1.091451575540903 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.06879443671131700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4320000000000003 " " y[1] (closed_form) = 1.0918698093050392 " " y[1] (numeric) = 1.0918698093050396 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.067235910961944400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4330000000000003 " " y[1] (closed_form) = 1.0922889511992906 " " y[1] (numeric) = 1.092288951199291 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.06567519851290300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4340000000000003 " " y[1] (closed_form) = 1.0927090008045153 " " y[1] (numeric) = 1.0927090008045157 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.06411230733066730000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4350000000000003 " " y[1] (closed_form) = 1.0931299577006635 " " y[1] (numeric) = 1.093129957700664 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.062547245381318000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4360000000000003 " " y[1] (closed_form) = 1.0935518214667783 " " y[1] (numeric) = 1.0935518214667788 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.06098002063045250000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4370000000000003 " " y[1] (closed_form) = 1.0939745916809964 " " y[1] (numeric) = 1.0939745916809966 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.02970532052155400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4380000000000003 " " y[1] (closed_form) = 1.094398267920547 " " y[1] (numeric) = 1.0943982679205475 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.057839114583680600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4390000000000003 " " y[1] (closed_form) = 1.0948228497617545 " " y[1] (numeric) = 1.094822849761755 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.056265449215837300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4400000000000003 " " y[1] (closed_form) = 1.0952483367800367 " " y[1] (numeric) = 1.0952483367800372 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.05468965290244400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4410000000000003 " " y[1] (closed_form) = 1.0956747285499067 " " y[1] (numeric) = 1.095674728549907 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.0531117336054800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4420000000000003 " " y[1] (closed_form) = 1.0961020246449729 " " y[1] (numeric) = 1.0961020246449733 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.05153169928595850000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4430000000000003 " " y[1] (closed_form) = 1.096530224637939 " " y[1] (numeric) = 1.0965302246379394 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.049949557903846400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4440000000000003 " " y[1] (closed_form) = 1.0969593281006051 " " y[1] (numeric) = 1.0969593281006056 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.04836531741798570000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4450000000000003 " " y[1] (closed_form) = 1.097389334603868 " " y[1] (numeric) = 1.0973893346038683 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.04677898578601100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4460000000000003 " " y[1] (closed_form) = 1.0978202437177211 " " y[1] (numeric) = 1.0978202437177214 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.022595285482136600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4470000000000003 " " y[1] (closed_form) = 1.0982520550112551 " " y[1] (numeric) = 1.0982520550112556 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.043600080907761600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4480000000000003 " " y[1] (closed_form) = 1.0986847680526592 " " y[1] (numeric) = 1.0986847680526595 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 2.02100376178500800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4490000000000003 " " y[1] (closed_form) = 1.0991183824092199 " " y[1] (numeric) = 1.0991183824092203 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.04041290690306100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4500000000000003 " " y[1] (closed_form) = 1.0995528976473232 " " y[1] (numeric) = 1.0995528976473237 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.03881623885731700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4510000000000003 " " y[1] (closed_form) = 1.099988313332454 " " y[1] (numeric) = 1.0999883133324544 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 4.037217527381527500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4520000000000003 " " y[1] (closed_form) = 1.1004246290291961 " " y[1] (numeric) = 1.1004246290291968 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.05342517063401900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4530000000000003 " " y[1] (closed_form) = 1.1008618443012343 " " y[1] (numeric) = 1.100861844301235 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.0510210088888890000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4540000000000003 " " y[1] (closed_form) = 1.1012999587113534 " " y[1] (numeric) = 1.101299958711354 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.04861381775176300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4550000000000003 " " y[1] (closed_form) = 1.101738971821439 " " y[1] (numeric) = 1.1017389718214396 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.0462036091345200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4560000000000003 " " y[1] (closed_form) = 1.1021788831924777 " " y[1] (numeric) = 1.1021788831924784 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.04379039494593900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4570000000000003 " " y[1] (closed_form) = 1.1026196923845586 " " y[1] (numeric) = 1.1026196923845593 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.04137418709158700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4580000000000003 " " y[1] (closed_form) = 1.1030613989568723 " " y[1] (numeric) = 1.103061398956873 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.03895499747370400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4590000000000003 " " y[1] (closed_form) = 1.1035040024677123 " " y[1] (numeric) = 1.103504002467713 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 6.03653283799108400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4600000000000003 " " y[1] (closed_form) = 1.103947502474475 " " y[1] (numeric) = 1.1039475024744758 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.04547696071862200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4610000000000003 " " y[1] (closed_form) = 1.1043918985336605 " " y[1] (numeric) = 1.1043918985336614 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.04223954267856000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4620000000000003 " " y[1] (closed_form) = 1.104837190200873 " " y[1] (numeric) = 1.1048371902008738 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.03899821238497100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4630000000000003 " " y[1] (closed_form) = 1.1052833770308206 " " y[1] (numeric) = 1.1052833770308215 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.03575298568304200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4640000000000003 " " y[1] (closed_form) = 1.1057304585773164 " " y[1] (numeric) = 1.1057304585773176 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.00406298480157670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4650000000000003 " " y[1] (closed_form) = 1.1061784343932795 " " y[1] (numeric) = 1.1061784343932806 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.00365636330100340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4660000000000003 " " y[1] (closed_form) = 1.1066273040307335 " " y[1] (numeric) = 1.1066273040307346 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.00324926068724850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4670000000000003 " " y[1] (closed_form) = 1.1070770670408092 " " y[1] (numeric) = 1.10707706704081 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.02273343150540800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4680000000000003 " " y[1] (closed_form) = 1.1075277229737432 " " y[1] (numeric) = 1.1075277229737441 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.01946896024725200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4690000000000003 " " y[1] (closed_form) = 1.10797927137888 " " y[1] (numeric) = 1.107979271378881 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.01620068753440900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4700000000000003 " " y[1] (closed_form) = 1.1084317118046711 " " y[1] (numeric) = 1.108431711804672 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.01292862917152600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4710000000000003 " " y[1] (closed_form) = 1.1088850437986761 " " y[1] (numeric) = 1.108885043798677 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.00965280095687500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4720000000000003 " " y[1] (closed_form) = 1.109339266907563 " " y[1] (numeric) = 1.109339266907564 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.00637321868219600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4730000000000003 " " y[1] (closed_form) = 1.109794380677109 " " y[1] (numeric) = 1.1097943806771098 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 8.00308989813256200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4740000000000003 " " y[1] (closed_form) = 1.1102503846521998 " " y[1] (numeric) = 1.1102503846522007 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.99980285508622900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4750000000000003 " " y[1] (closed_form) = 1.110707278376832 " " y[1] (numeric) = 1.1107072783768328 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.99651210531449400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4760000000000003 " " y[1] (closed_form) = 1.1111650613941115 " " y[1] (numeric) = 1.1111650613941124 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.99321766458154800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4770000000000003 " " y[1] (closed_form) = 1.1116237332462557 " " y[1] (numeric) = 1.1116237332462566 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.98991954864433300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4780000000000003 " " y[1] (closed_form) = 1.1120832934745928 " " y[1] (numeric) = 1.1120832934745934 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.98996332993930300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4790000000000003 " " y[1] (closed_form) = 1.112543741619562 " " y[1] (numeric) = 1.112543741619563 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.98331235414778600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4800000000000003 " " y[1] (closed_form) = 1.1130050772207158 " " y[1] (numeric) = 1.1130050772207167 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.98000330706482500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4810000000000003 " " y[1] (closed_form) = 1.1134672998167185 " " y[1] (numeric) = 1.1134672998167194 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.97669064773005100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4820000000000003 " " y[1] (closed_form) = 1.1139304089453477 " " y[1] (numeric) = 1.1139304089453486 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.97337439186204700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4830000000000003 " " y[1] (closed_form) = 1.114394404143494 " " y[1] (numeric) = 1.1143944041434948 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.97754091637846900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4840000000000003 " " y[1] (closed_form) = 1.1148592849471624 " " y[1] (numeric) = 1.114859284947163 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.97504836502002800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4850000000000003 " " y[1] (closed_form) = 1.1153250508914718 " " y[1] (numeric) = 1.1153250508914727 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.96340420212215500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4860000000000003 " " y[1] (closed_form) = 1.1157917015106569 " " y[1] (numeric) = 1.1157917015106578 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.96007371714300500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4870000000000003 " " y[1] (closed_form) = 1.1162592363380666 " " y[1] (numeric) = 1.1162592363380675 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.95673971409930100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4880000000000003 " " y[1] (closed_form) = 1.1167276549061664 " " y[1] (numeric) = 1.1167276549061673 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.95340220865896700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4890000000000003 " " y[1] (closed_form) = 1.1171969567465376 " " y[1] (numeric) = 1.1171969567465385 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.95006121648100300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4900000000000003 " " y[1] (closed_form) = 1.1176671413898787 " " y[1] (numeric) = 1.1176671413898795 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.94671675321534500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4910000000000003 " " y[1] (closed_form) = 1.1181382083660047 " " y[1] (numeric) = 1.1181382083660056 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.94336883450273900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4920000000000003 " " y[1] (closed_form) = 1.118610157203849 " " y[1] (numeric) = 1.1186101572038498 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.94001747597459800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4930000000000003 " " y[1] (closed_form) = 1.1190829874314625 " " y[1] (numeric) = 1.1190829874314634 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.93666269325286400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.4940000000000003 " " y[1] (closed_form) = 1.119556698576015 " " y[1] (numeric) = 1.1195566985760161 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.91663062743736000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.49500000000000033 " " y[1] (closed_form) = 1.1200312901637959 " " y[1] (numeric) = 1.120031290163797 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.91242864708534300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.49600000000000033 " " y[1] (closed_form) = 1.1205067617202134 " " y[1] (numeric) = 1.1205067617202142 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.92657795600077200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.49700000000000033 " " y[1] (closed_form) = 1.1209831127697956 " " y[1] (numeric) = 1.1209831127697965 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.92320963253012900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.49800000000000033 " " y[1] (closed_form) = 1.1214603428361918 " " y[1] (numeric) = 1.1214603428361927 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.9198379628289600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.49900000000000033 " " y[1] (closed_form) = 1.1219384514421717 " " y[1] (numeric) = 1.1219384514421729 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.89557870307452200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5000000000000003 " " y[1] (closed_form) = 1.1224174381096275 " " y[1] (numeric) = 1.1224174381096284 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.91308464697406100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5010000000000003 " " y[1] (closed_form) = 1.1228973023595716 " " y[1] (numeric) = 1.1228973023595727 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.88712878989216300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5020000000000003 " " y[1] (closed_form) = 1.1233780437121408 " " y[1] (numeric) = 1.1233780437121417 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.90631813280940200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5030000000000003 " " y[1] (closed_form) = 1.1238596616865928 " " y[1] (numeric) = 1.1238596616865937 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.90292996518108600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5040000000000003 " " y[1] (closed_form) = 1.12434215580131 " " y[1] (numeric) = 1.1243421558013111 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.87442318067233800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5050000000000003 " " y[1] (closed_form) = 1.1248255255737987 " " y[1] (numeric) = 1.1248255255737998 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.87017985797225500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5060000000000003 " " y[1] (closed_form) = 1.125309770520689 " " y[1] (numeric) = 1.1253097705206898 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.89274600618777900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5070000000000003 " " y[1] (closed_form) = 1.1257948901577357 " " y[1] (numeric) = 1.1257948901577366 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.88934491944338200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5080000000000003 " " y[1] (closed_form) = 1.1262808839998195 " " y[1] (numeric) = 1.1262808839998204 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.8859406416087900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5090000000000003 " " y[1] (closed_form) = 1.1267677515609464 " " y[1] (numeric) = 1.1267677515609473 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.88253318813663200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5100000000000003 " " y[1] (closed_form) = 1.1272554923542488 " " y[1] (numeric) = 1.12725549235425 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.84890321808483300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5110000000000003 " " y[1] (closed_form) = 1.1277441058919864 " " y[1] (numeric) = 1.1277441058919875 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.84463602003956800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5120000000000003 " " y[1] (closed_form) = 1.1282335916855453 " " y[1] (numeric) = 1.1282335916855464 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.84036491030654800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5130000000000003 " " y[1] (closed_form) = 1.12872394924544 " " y[1] (numeric) = 1.128723949245441 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.83608990814227500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5140000000000003 " " y[1] (closed_form) = 1.1292151780813127 " " y[1] (numeric) = 1.1292151780813138 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.83181103278804500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5150000000000003 " " y[1] (closed_form) = 1.1297072777019346 " " y[1] (numeric) = 1.129707277701936 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.17930339641637450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5160000000000003 " " y[1] (closed_form) = 1.1302002476152064 " " y[1] (numeric) = 1.1302002476152078 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.1787890087277510000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5170000000000003 " " y[1] (closed_form) = 1.1306940873281583 " " y[1] (numeric) = 1.1306940873281595 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.81895135976721100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5180000000000003 " " y[1] (closed_form) = 1.1311887963469505 " " y[1] (numeric) = 1.1311887963469514 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.8517257470052700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5190000000000003 " " y[1] (closed_form) = 1.1316843741768736 " " y[1] (numeric) = 1.1316843741768745 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.84828738442322800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5200000000000004 " " y[1] (closed_form) = 1.1321808203223502 " " y[1] (numeric) = 1.1321808203223511 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.84484601538512600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5210000000000004 " " y[1] (closed_form) = 1.1326781342869343 " " y[1] (numeric) = 1.1326781342869352 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.84140165519544200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5220000000000004 " " y[1] (closed_form) = 1.1331763155733119 " " y[1] (numeric) = 1.1331763155733128 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.83795431914552500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5230000000000004 " " y[1] (closed_form) = 1.1336753636833015 " " y[1] (numeric) = 1.1336753636833026 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.79313002814184400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5240000000000004 " " y[1] (closed_form) = 1.1341752781178553 " " y[1] (numeric) = 1.1341752781178565 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.78881347570503200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5250000000000004 " " y[1] (closed_form) = 1.134676058377059 " " y[1] (numeric) = 1.13467605837706 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.7844932606855400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5260000000000004 " " y[1] (closed_form) = 1.135177703960132 " " y[1] (numeric) = 1.1351777039601332 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.78016940213043500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5270000000000004 " " y[1] (closed_form) = 1.135680214365429 " " y[1] (numeric) = 1.13568021436543 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.77584191906964900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5280000000000004 " " y[1] (closed_form) = 1.1361835890904395 " " y[1] (numeric) = 1.1361835890904408 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.17258129966189840000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5290000000000004 " " y[1] (closed_form) = 1.136687827631789 " " y[1] (numeric) = 1.1366878276317904 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.17206113865569920000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5300000000000004 " " y[1] (closed_form) = 1.1371929294852392 " " y[1] (numeric) = 1.1371929294852405 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.17154054954707710000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5310000000000004 " " y[1] (closed_form) = 1.1376988941456878 " " y[1] (numeric) = 1.1376988941456891 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.17101953461122410000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5320000000000004 " " y[1] (closed_form) = 1.1382057211071703 " " y[1] (numeric) = 1.1382057211071717 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.1704980961211890000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5330000000000004 " " y[1] (closed_form) = 1.1387134098628602 " " y[1] (numeric) = 1.1387134098628613 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.74980196956550500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5340000000000004 " " y[1] (closed_form) = 1.1392219599050681 " " y[1] (numeric) = 1.1392219599050692 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.7454496463329400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5350000000000004 " " y[1] (closed_form) = 1.1397313707252446 " " y[1] (numeric) = 1.1397313707252457 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.74109385019988400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5360000000000004 " " y[1] (closed_form) = 1.1402416418139785 " " y[1] (numeric) = 1.1402416418139796 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.73673460003560100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5370000000000004 " " y[1] (closed_form) = 1.140752772660999 " " y[1] (numeric) = 1.140752772661 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.732371914690800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5380000000000004 " " y[1] (closed_form) = 1.1412647627551753 " " y[1] (numeric) = 1.1412647627551764 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.72800581299750700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5390000000000004 " " y[1] (closed_form) = 1.141777611584517 " " y[1] (numeric) = 1.1417776115845184 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.16683635765227140000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5400000000000004 " " y[1] (closed_form) = 1.142291318636176 " " y[1] (numeric) = 1.1422913186361772 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.71926343579931100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5410000000000004 " " y[1] (closed_form) = 1.1428058833964447 " " y[1] (numeric) = 1.1428058833964458 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.71488719786381200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5420000000000004 " " y[1] (closed_form) = 1.1433213053507587 " " y[1] (numeric) = 1.1433213053507598 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.71050761871836300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5430000000000004 " " y[1] (closed_form) = 1.1438375839836958 " " y[1] (numeric) = 1.143837583983697 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.70612471709953500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5440000000000004 " " y[1] (closed_form) = 1.1443547187789775 " " y[1] (numeric) = 1.1443547187789789 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.16420862140692930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5450000000000004 " " y[1] (closed_form) = 1.1448727092194693 " " y[1] (numeric) = 1.1448727092194706 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.16368188255485380000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5460000000000004 " " y[1] (closed_form) = 1.1453915547871807 " " y[1] (numeric) = 1.1453915547871818 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.69295626447535100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5470000000000004 " " y[1] (closed_form) = 1.145911254963266 " " y[1] (numeric) = 1.145911254963267 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.68856025993694100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5480000000000004 " " y[1] (closed_form) = 1.1464318092280252 " " y[1] (numeric) = 1.1464318092280261 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.74732882105041700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5490000000000004 " " y[1] (closed_form) = 1.1469532170609038 " " y[1] (numeric) = 1.146953217060905 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.67975858222125800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5500000000000004 " " y[1] (closed_form) = 1.1474754779404943 " " y[1] (numeric) = 1.1474754779404954 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.67535294625904300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5510000000000004 " " y[1] (closed_form) = 1.147998591344536 " " y[1] (numeric) = 1.147998591344537 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.73675530960269300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5520000000000004 " " y[1] (closed_form) = 1.1485225567499153 " " y[1] (numeric) = 1.1485225567499162 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.73322573840856100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5530000000000004 " " y[1] (closed_form) = 1.149047373632667 " " y[1] (numeric) = 1.1490473736326678 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.72969365825348800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5540000000000004 " " y[1] (closed_form) = 1.1495730414679741 " " y[1] (numeric) = 1.1495730414679748 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.7946193129621300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5550000000000004 " " y[1] (closed_form) = 1.1500995597301689 " " y[1] (numeric) = 1.1500995597301695 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.79196652271894800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5560000000000004 " " y[1] (closed_form) = 1.1506269278927328 " " y[1] (numeric) = 1.1506269278927337 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.71908251205924900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5570000000000004 " " y[1] (closed_form) = 1.1511551454282984 " " y[1] (numeric) = 1.151155145428299 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.78665540800977300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5580000000000004 " " y[1] (closed_form) = 1.1516842118086477 " " y[1] (numeric) = 1.1516842118086483 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.78399710567337500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5590000000000004 " " y[1] (closed_form) = 1.1522141265047146 " " y[1] (numeric) = 1.1522141265047152 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.7813369880808200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5600000000000004 " " y[1] (closed_form) = 1.1527448889865841 " " y[1] (numeric) = 1.1527448889865848 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.77867506626478300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5610000000000004 " " y[1] (closed_form) = 1.153276498723494 " " y[1] (numeric) = 1.153276498723495 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.70134846832660600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5620000000000004 " " y[1] (closed_form) = 1.1538089551838349 " " y[1] (numeric) = 1.1538089551838357 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.69779447203729700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5630000000000004 " " y[1] (closed_form) = 1.1543422578351499 " " y[1] (numeric) = 1.1543422578351508 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.69423811414313600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5640000000000004 " " y[1] (closed_form) = 1.1548764061441368 " " y[1] (numeric) = 1.1548764061441374 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.76800955696341200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5650000000000004 " " y[1] (closed_form) = 1.1554113995766468 " " y[1] (numeric) = 1.1554113995766477 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.68711837208428000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5660000000000004 " " y[1] (closed_form) = 1.1559472375976871 " " y[1] (numeric) = 1.155947237597688 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.68355501714728300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5670000000000004 " " y[1] (closed_form) = 1.1564839196714196 " " y[1] (numeric) = 1.1564839196714203 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.75999201929548700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5680000000000004 " " y[1] (closed_form) = 1.1570214452611618 " " y[1] (numeric) = 1.1570214452611627 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.67642141239349600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5690000000000004 " " y[1] (closed_form) = 1.1575598138293888 " " y[1] (numeric) = 1.1575598138293894 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.75463839377266500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5700000000000004 " " y[1] (closed_form) = 1.1580990248377314 " " y[1] (numeric) = 1.1580990248377323 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.66927871150373800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5710000000000004 " " y[1] (closed_form) = 1.1586390777469793 " " y[1] (numeric) = 1.1586390777469802 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.66570398632872100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5720000000000004 " " y[1] (closed_form) = 1.1591799720170792 " " y[1] (numeric) = 1.1591799720170801 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.66212703066818400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5730000000000004 " " y[1] (closed_form) = 1.159721707107137 " " y[1] (numeric) = 1.159721707107138 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.65854785900005400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5740000000000004 " " y[1] (closed_form) = 1.160264282475418 " " y[1] (numeric) = 1.1602642824754186 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.74122486433781000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5750000000000004 " " y[1] (closed_form) = 1.160807697579346 " " y[1] (numeric) = 1.1608076975793469 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.65138292546009400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5760000000000004 " " y[1] (closed_form) = 1.1613519518755069 " " y[1] (numeric) = 1.1613519518755075 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.7358478943384200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5770000000000004 " " y[1] (closed_form) = 1.161897044819646 " " y[1] (numeric) = 1.1618970448196466 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.73315697587038600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5780000000000004 " " y[1] (closed_form) = 1.1624429758666701 " " y[1] (numeric) = 1.162442975866671 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.64061926597247100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5790000000000004 " " y[1] (closed_form) = 1.1629897444706487 " " y[1] (numeric) = 1.1629897444706496 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.63702710125266200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5800000000000004 " " y[1] (closed_form) = 1.1635373500848134 " " y[1] (numeric) = 1.163537350084814 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.72507461601071600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5810000000000004 " " y[1] (closed_form) = 1.164085792161558 " " y[1] (numeric) = 1.1640857921615588 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.62983644058477700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5820000000000004 " " y[1] (closed_form) = 1.1646350701524408 " " y[1] (numeric) = 1.1646350701524417 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.62623797327235100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5830000000000004 " " y[1] (closed_form) = 1.165185183508184 " " y[1] (numeric) = 1.1651851835081848 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.62263743369928400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5840000000000004 " " y[1] (closed_form) = 1.1657361316786738 " " y[1] (numeric) = 1.1657361316786747 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.61903483613515300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5850000000000004 " " y[1] (closed_form) = 1.1662879141129627 " " y[1] (numeric) = 1.1662879141129636 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.61543019483008500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5860000000000004 " " y[1] (closed_form) = 1.1668405302592677 " " y[1] (numeric) = 1.1668405302592688 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.51477940501834500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5870000000000004 " " y[1] (closed_form) = 1.1673939795649733 " " y[1] (numeric) = 1.1673939795649744 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.51026854737488600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5880000000000004 " " y[1] (closed_form) = 1.1679482614766301 " " y[1] (numeric) = 1.167948261476631 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.60460415067707300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5890000000000004 " " y[1] (closed_form) = 1.1685033754399559 " " y[1] (numeric) = 1.1685033754399567 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.60099147651768800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5900000000000004 " " y[1] (closed_form) = 1.1690593208998368 " " y[1] (numeric) = 1.1690593208998377 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.59737682957341600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5910000000000004 " " y[1] (closed_form) = 1.1696160973003276 " " y[1] (numeric) = 1.1696160973003285 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.59376022397598400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5920000000000004 " " y[1] (closed_form) = 1.170173704084652 " " y[1] (numeric) = 1.170173704084653 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.59014167383711100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5930000000000004 " " y[1] (closed_form) = 1.1707321406952031 " " y[1] (numeric) = 1.170732140695204 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.58652119324842200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5940000000000004 " " y[1] (closed_form) = 1.1712914065735445 " " y[1] (numeric) = 1.1712914065735454 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.58289879628137900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5950000000000004 " " y[1] (closed_form) = 1.1718515011604103 " " y[1] (numeric) = 1.1718515011604111 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.5792744969871910000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5960000000000004 " " y[1] (closed_form) = 1.1724124238957057 " " y[1] (numeric) = 1.1724124238957068 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.46956038674594200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5970000000000004 " " y[1] (closed_form) = 1.1729741742185085 " " y[1] (numeric) = 1.1729741742185094 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.57202024752055800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5980000000000004 " " y[1] (closed_form) = 1.173536751567068 " " y[1] (numeric) = 1.173536751567069 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.56839032534862700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.5990000000000004 " " y[1] (closed_form) = 1.174100155378807 " " y[1] (numeric) = 1.174100155378808 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.56475855685043000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6000000000000004 " " y[1] (closed_form) = 1.1746643850903218 " " y[1] (numeric) = 1.174664385090323 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.4514061949685300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6010000000000004 " " y[1] (closed_form) = 1.1752294401373828 " " y[1] (numeric) = 1.175229440137384 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 9.4468619208124400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6020000000000004 " " y[1] (closed_form) = 1.1757953199549351 " " y[1] (numeric) = 1.175795319954936 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.55385231278320200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6030000000000004 " " y[1] (closed_form) = 1.1763620239770987 " " y[1] (numeric) = 1.1763620239770995 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.55021329826111700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6040000000000004 " " y[1] (closed_form) = 1.1769295516371696 " " y[1] (numeric) = 1.1769295516371705 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.54657250694931800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6050000000000004 " " y[1] (closed_form) = 1.1774979023676202 " " y[1] (numeric) = 1.177497902367621 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.5429299526924500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6060000000000004 " " y[1] (closed_form) = 1.1780670756001 " " y[1] (numeric) = 1.1780670756001008 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.5392856493140900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6070000000000004 " " y[1] (closed_form) = 1.1786370707654357 " " y[1] (numeric) = 1.1786370707654366 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.53563961061669700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6080000000000004 " " y[1] (closed_form) = 1.1792078872936322 " " y[1] (numeric) = 1.1792078872936331 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.53199185038152400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6090000000000004 " " y[1] (closed_form) = 1.179779524613873 " " y[1] (numeric) = 1.1797795246138738 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.52834238236856100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6100000000000004 " " y[1] (closed_form) = 1.1803519821545208 " " y[1] (numeric) = 1.1803519821545216 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.5246912203164600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6110000000000004 " " y[1] (closed_form) = 1.180925259343118 " " y[1] (numeric) = 1.180925259343119 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.52103837794246700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6120000000000004 " " y[1] (closed_form) = 1.181499355606388 " " y[1] (numeric) = 1.1814993556063886 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.63803790170676900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6130000000000004 " " y[1] (closed_form) = 1.1820742703702338 " " y[1] (numeric) = 1.1820742703702345 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.63529578024277800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6140000000000004 " " y[1] (closed_form) = 1.182650003059741 " " y[1] (numeric) = 1.182650003059742 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.51006990573913100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6150000000000004 " " y[1] (closed_form) = 1.1832265530991775 " " y[1] (numeric) = 1.1832265530991781 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.629807859114695000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6160000000000004 " " y[1] (closed_form) = 1.1838039199119925 " " y[1] (numeric) = 1.1838039199119932 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.62706207988073100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6170000000000004 " " y[1] (closed_form) = 1.1843821029208197 " " y[1] (numeric) = 1.1843821029208204 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.624315101793018000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6180000000000004 " " y[1] (closed_form) = 1.1849611015474757 " " y[1] (numeric) = 1.1849611015474766 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.49542258003428800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6190000000000004 " " y[1] (closed_form) = 1.1855409152129628 " " y[1] (numeric) = 1.1855409152129635 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.6188175897365300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6200000000000004 " " y[1] (closed_form) = 1.1861215433374663 " " y[1] (numeric) = 1.1861215433374672 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.4880894347555700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6210000000000004 " " y[1] (closed_form) = 1.186702985340359 " " y[1] (numeric) = 1.1867029853403597 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.61331540414082400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6220000000000004 " " y[1] (closed_form) = 1.1872852406401981 " " y[1] (numeric) = 1.187285240640199 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.48075011208940000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6230000000000004 " " y[1] (closed_form) = 1.1878683086547293 " " y[1] (numeric) = 1.1878683086547301 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.47707816791572400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6240000000000004 " " y[1] (closed_form) = 1.188452188800884 " " y[1] (numeric) = 1.1884521888008848 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.60505353982481000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6250000000000004 " " y[1] (closed_form) = 1.1890368804947824 " " y[1] (numeric) = 1.189036880494783 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.60229733578913100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6260000000000004 " " y[1] (closed_form) = 1.1896223831517325 " " y[1] (numeric) = 1.1896223831517332 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.59954002387100900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6270000000000004 " " y[1] (closed_form) = 1.1902086961862322 " " y[1] (numeric) = 1.1902086961862328 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.596781614094877000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6280000000000004 " " y[1] (closed_form) = 1.190795819011968 " " y[1] (numeric) = 1.1907958190119687 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.59402211646830600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6290000000000004 " " y[1] (closed_form) = 1.1913837510418173 " " y[1] (numeric) = 1.1913837510418182 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 7.45501538797594700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6300000000000004 " " y[1] (closed_form) = 1.1919724916878485 " " y[1] (numeric) = 1.1919724916878491 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.58849989760954800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6310000000000004 " " y[1] (closed_form) = 1.1925620403613204 " " y[1] (numeric) = 1.192562040361321 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.585737196307790000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6320000000000005 " " y[1] (closed_form) = 1.1931523964726847 " " y[1] (numeric) = 1.1931523964726853 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.58297344701636400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6330000000000005 " " y[1] (closed_form) = 1.1937435594315853 " " y[1] (numeric) = 1.193743559431586 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.58020865965786800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6340000000000005 " " y[1] (closed_form) = 1.1943355286468593 " " y[1] (numeric) = 1.19433552864686 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.57744284413778100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6350000000000005 " " y[1] (closed_form) = 1.1949283035265374 " " y[1] (numeric) = 1.1949283035265381 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.57467601034441600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6360000000000005 " " y[1] (closed_form) = 1.195521883477845 " " y[1] (numeric) = 1.1955218834778456 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.57190816814888100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6370000000000005 " " y[1] (closed_form) = 1.1961162679072022 " " y[1] (numeric) = 1.1961162679072026 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.71275955160335800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6380000000000005 " " y[1] (closed_form) = 1.1967114562202243 " " y[1] (numeric) = 1.1967114562202248 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.710912998632975000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6390000000000005 " " y[1] (closed_form) = 1.1973074478217234 " " y[1] (numeric) = 1.1973074478217238 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.70906579306760130000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6400000000000005 " " y[1] (closed_form) = 1.1979042421157078 " " y[1] (numeric) = 1.1979042421157082 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.70721794144182660000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6410000000000005 " " y[1] (closed_form) = 1.1985018385053832 " " y[1] (numeric) = 1.1985018385053836 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.70536945027863600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6420000000000005 " " y[1] (closed_form) = 1.199100236393153 " " y[1] (numeric) = 1.1991002363931536 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.703520326089382300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6430000000000005 " " y[1] (closed_form) = 1.1996994351806198 " " y[1] (numeric) = 1.1996994351806205 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.552505863060647000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6440000000000005 " " y[1] (closed_form) = 1.2002994342685849 " " y[1] (numeric) = 1.2002994342685855 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.549730306929700000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6450000000000005 " " y[1] (closed_form) = 1.200900233057049 " " y[1] (numeric) = 1.2009002330570497 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.546953830455699000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6460000000000005 " " y[1] (closed_form) = 1.2015018309452137 " " y[1] (numeric) = 1.2015018309452141 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.69611762889034100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6470000000000005 " " y[1] (closed_form) = 1.2021042273314806 " " y[1] (numeric) = 1.202104227331481 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.6942654368322503000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6480000000000005 " " y[1] (closed_form) = 1.2027074216134537 " " y[1] (numeric) = 1.2027074216134541 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.69241265057056800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6490000000000005 " " y[1] (closed_form) = 1.2033114131879388 " " y[1] (numeric) = 1.2033114131879392 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.690559276534533500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6500000000000005 " " y[1] (closed_form) = 1.2039162014509444 " " y[1] (numeric) = 1.2039162014509448 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.688705321141554400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6510000000000005 " " y[1] (closed_form) = 1.2045217857976822 " " y[1] (numeric) = 1.2045217857976827 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.686850790797188700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6520000000000005 " " y[1] (closed_form) = 1.2051281656225679 " " y[1] (numeric) = 1.2051281656225683 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.68499569189511600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6530000000000005 " " y[1] (closed_form) = 1.2057353403192217 " " y[1] (numeric) = 1.2057353403192221 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.683140030817117500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6540000000000005 " " y[1] (closed_form) = 1.206343309280469 " " y[1] (numeric) = 1.2063433092804694 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.68128381393305400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6550000000000005 " " y[1] (closed_form) = 1.2069520718983409 " " y[1] (numeric) = 1.2069520718983413 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.67942704760083800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6560000000000005 " " y[1] (closed_form) = 1.2075616275640746 " " y[1] (numeric) = 1.2075616275640753 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.51635460724962600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6570000000000005 " " y[1] (closed_form) = 1.2081719756681149 " " y[1] (numeric) = 1.2081719756681155 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.513567837945622000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6580000000000005 " " y[1] (closed_form) = 1.2087831156001136 " " y[1] (numeric) = 1.208783115600114 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.67385351531477700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6590000000000005 " " y[1] (closed_form) = 1.2093950467489307 " " y[1] (numeric) = 1.2093950467489312 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.67199461452941740000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6600000000000005 " " y[1] (closed_form) = 1.2100077685026354 " " y[1] (numeric) = 1.2100077685026356 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.83506759795276200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6610000000000005 " " y[1] (closed_form) = 1.2106212802485055 " " y[1] (numeric) = 1.2106212802485057 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.834137632864441300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6620000000000005 " " y[1] (closed_form) = 1.2112355813730296 " " y[1] (numeric) = 1.2112355813730298 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.833207415136587400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6630000000000005 " " y[1] (closed_form) = 1.2118506712619064 " " y[1] (numeric) = 1.2118506712619068 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.66455389579996900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6640000000000005 " " y[1] (closed_form) = 1.2124665493000464 " " y[1] (numeric) = 1.2124665493000468 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.662692468558692600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6650000000000005 " " y[1] (closed_form) = 1.2130832148715716 " " y[1] (numeric) = 1.213083214871572 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.660830554786615500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6660000000000005 " " y[1] (closed_form) = 1.2137006673598163 " " y[1] (numeric) = 1.2137006673598167 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.6589681607088300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6670000000000005 " " y[1] (closed_form) = 1.214318906147328 " " y[1] (numeric) = 1.2143189061473285 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.657105292538228600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6680000000000005 " " y[1] (closed_form) = 1.2149379306158683 " " y[1] (numeric) = 1.2149379306158687 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.65524195647548700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6690000000000005 " " y[1] (closed_form) = 1.2155577401464124 " " y[1] (numeric) = 1.2155577401464128 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.653378158709043600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6700000000000005 " " y[1] (closed_form) = 1.216178334119151 " " y[1] (numeric) = 1.2161783341191514 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.65151390541507900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6710000000000005 " " y[1] (closed_form) = 1.2167997119134903 " " y[1] (numeric) = 1.2167997119134906 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.8248246013787500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6720000000000005 " " y[1] (closed_form) = 1.2174218729080521 " " y[1] (numeric) = 1.2174218729080526 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.647784056887921600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6730000000000005 " " y[1] (closed_form) = 1.218044816480676 " " y[1] (numeric) = 1.2180448164806765 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.64591847394564200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6740000000000005 " " y[1] (closed_form) = 1.2186685420084182 " " y[1] (numeric) = 1.2186685420084187 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.644052460057633500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6750000000000005 " " y[1] (closed_form) = 1.2192930488675535 " " y[1] (numeric) = 1.2192930488675537 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.82109301066925900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6760000000000005 " " y[1] (closed_form) = 1.2199183364335746 " " y[1] (numeric) = 1.2199183364335748 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.82015958194527700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6770000000000005 " " y[1] (closed_form) = 1.2205444040811944 " " y[1] (numeric) = 1.2205444040811946 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.819225946901807400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6780000000000005 " " y[1] (closed_form) = 1.221171251184345 " " y[1] (numeric) = 1.2211712511843453 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.81829210857758720000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6790000000000005 " " y[1] (closed_form) = 1.2217988771161798 " " y[1] (numeric) = 1.2217988771161798 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6800000000000005 " " y[1] (closed_form) = 1.2224272812490724 " " y[1] (numeric) = 1.2224272812490724 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6810000000000005 " " y[1] (closed_form) = 1.223056462954619 " " y[1] (numeric) = 1.223056462954619 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6820000000000005 " " y[1] (closed_form) = 1.223686421603638 " " y[1] (numeric) = 1.2236864216036378 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.81455478303046290000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6830000000000005 " " y[1] (closed_form) = 1.2243171565661706 " " y[1] (numeric) = 1.2243171565661704 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.813619973665953300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6840000000000005 " " y[1] (closed_form) = 1.224948667211482 " " y[1] (numeric) = 1.2249486672114818 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.81268497912244590000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6850000000000005 " " y[1] (closed_form) = 1.2255809529080617 " " y[1] (numeric) = 1.2255809529080615 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.811749802395046200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6860000000000005 " " y[1] (closed_form) = 1.2262140130236237 " " y[1] (numeric) = 1.2262140130236237 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6870000000000005 " " y[1] (closed_form) = 1.2268478469251085 " " y[1] (numeric) = 1.2268478469251083 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.809878914337661500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6880000000000005 " " y[1] (closed_form) = 1.2274824539786817 " " y[1] (numeric) = 1.2274824539786815 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.808943208966534400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6890000000000005 " " y[1] (closed_form) = 1.2281178335497365 " " y[1] (numeric) = 1.2281178335497365 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6900000000000005 " " y[1] (closed_form) = 1.2287539850028937 " " y[1] (numeric) = 1.2287539850028935 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.807071290389413200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6910000000000005 " " y[1] (closed_form) = 1.2293909077020015 " " y[1] (numeric) = 1.2293909077020013 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.80613508310453420000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6920000000000005 " " y[1] (closed_form) = 1.2300286010101376 " " y[1] (numeric) = 1.2300286010101371 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.61039742885135240000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6930000000000005 " " y[1] (closed_form) = 1.2306670642896083 " " y[1] (numeric) = 1.2306670642896078 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.60852437459524600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6940000000000005 " " y[1] (closed_form) = 1.2313062969019506 " " y[1] (numeric) = 1.2313062969019501 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.60665100931767300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6950000000000005 " " y[1] (closed_form) = 1.231946298207932 " " y[1] (numeric) = 1.2319462982079314 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.604777338882898500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6960000000000005 " " y[1] (closed_form) = 1.232587067567551 " " y[1] (numeric) = 1.2325870675675505 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.60290336914251830000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6970000000000005 " " y[1] (closed_form) = 1.2332286043400384 " " y[1] (numeric) = 1.2332286043400382 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.800514552967722700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6980000000000005 " " y[1] (closed_form) = 1.233870907883858 " " y[1] (numeric) = 1.2338709078838577 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.799577277543948400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.6990000000000005 " " y[1] (closed_form) = 1.2345139775567056 " " y[1] (numeric) = 1.2345139775567053 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.79863986120669120000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7000000000000005 " " y[1] (closed_form) = 1.2351578127155118 " " y[1] (numeric) = 1.2351578127155116 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.79770230685634500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7010000000000005 " " y[1] (closed_form) = 1.2358024127164418 " " y[1] (numeric) = 1.2358024127164415 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.79676461738693900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7020000000000005 " " y[1] (closed_form) = 1.2364477769148952 " " y[1] (numeric) = 1.236447776914895 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.795826795686128200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7030000000000005 " " y[1] (closed_form) = 1.237093904665508 " " y[1] (numeric) = 1.2370939046655078 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.794888844635192700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7040000000000005 " " y[1] (closed_form) = 1.2377407953221526 " " y[1] (numeric) = 1.2377407953221524 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.79395076710902700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7050000000000005 " " y[1] (closed_form) = 1.2383884482379386 " " y[1] (numeric) = 1.2383884482379381 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.58602513195227400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7060000000000005 " " y[1] (closed_form) = 1.2390368627652126 " " y[1] (numeric) = 1.2390368627652122 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.58414848819727070000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7070000000000005 " " y[1] (closed_form) = 1.2396860382555608 " " y[1] (numeric) = 1.2396860382555601 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.373407412996699000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7080000000000005 " " y[1] (closed_form) = 1.240335974059807 " " y[1] (numeric) = 1.2403359740598066 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.58039449905247500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7090000000000005 " " y[1] (closed_form) = 1.240986669528016 " " y[1] (numeric) = 1.2409866695280156 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.5785171650470900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7100000000000005 " " y[1] (closed_form) = 1.241638124009492 " " y[1] (numeric) = 1.2416381240094918 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.78831980616063800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7110000000000005 " " y[1] (closed_form) = 1.2422903368527811 " " y[1] (numeric) = 1.2422903368527807 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.57476184653515400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7120000000000005 " " y[1] (closed_form) = 1.2429433074056702 " " y[1] (numeric) = 1.2429433074056697 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.572883873335997400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7130000000000005 " " y[1] (closed_form) = 1.2435970350151886 " " y[1] (numeric) = 1.2435970350151881 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.57100569835822100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7140000000000005 " " y[1] (closed_form) = 1.244251519027609 " " y[1] (numeric) = 1.2442515190276087 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.56912732722336800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7150000000000005 " " y[1] (closed_form) = 1.2449067587884475 " " y[1] (numeric) = 1.244906758788447 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.56724876554010750000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7160000000000005 " " y[1] (closed_form) = 1.2455627536424643 " " y[1] (numeric) = 1.2455627536424638 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.56537001890422140000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7170000000000005 " " y[1] (closed_form) = 1.2462195029336645 " " y[1] (numeric) = 1.246219502933664 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.563491092898593600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7180000000000005 " " y[1] (closed_form) = 1.246877006005299 " " y[1] (numeric) = 1.2468770060052985 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.56161199309320940000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7190000000000005 " " y[1] (closed_form) = 1.2475352621998645 " " y[1] (numeric) = 1.247535262199864 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.559732725045139400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7200000000000005 " " y[1] (closed_form) = 1.2481942708591054 " " y[1] (numeric) = 1.248194270859105 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.557853294298535000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7210000000000005 " " y[1] (closed_form) = 1.2488540313240126 " " y[1] (numeric) = 1.2488540313240122 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.55597370638462250000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7220000000000005 " " y[1] (closed_form) = 1.249514542934826 " " y[1] (numeric) = 1.2495145429348256 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.5540939668216900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7230000000000005 " " y[1] (closed_form) = 1.2501758050310339 " " y[1] (numeric) = 1.2501758050310334 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.552214081115085400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7240000000000005 " " y[1] (closed_form) = 1.2508378169513743 " " y[1] (numeric) = 1.2508378169513739 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.550334054757207600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7250000000000005 " " y[1] (closed_form) = 1.2515005780338353 " " y[1] (numeric) = 1.2515005780338349 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.54845389322749700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7260000000000005 " " y[1] (closed_form) = 1.2521640876156557 " " y[1] (numeric) = 1.2521640876156555 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.773286800996217200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7270000000000005 " " y[1] (closed_form) = 1.2528283450333264 " " y[1] (numeric) = 1.2528283450333262 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.77234659325276300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7280000000000005 " " y[1] (closed_form) = 1.2534933496225897 " " y[1] (numeric) = 1.2534933496225895 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.771406326103652800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7290000000000005 " " y[1] (closed_form) = 1.2541591007184412 " " y[1] (numeric) = 1.254159100718441 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.770466002262661400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7300000000000005 " " y[1] (closed_form) = 1.2548255976551301 " " y[1] (numeric) = 1.2548255976551297 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.53905124887413900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7310000000000005 " " y[1] (closed_form) = 1.2554928397661589 " " y[1] (numeric) = 1.2554928397661587 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.768585195327661800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7320000000000005 " " y[1] (closed_form) = 1.2561608263842858 " " y[1] (numeric) = 1.2561608263842858 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7330000000000005 " " y[1] (closed_form) = 1.2568295568415246 " " y[1] (numeric) = 1.2568295568415246 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7340000000000005 " " y[1] (closed_form) = 1.2574990304691447 " " y[1] (numeric) = 1.2574990304691447 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7350000000000005 " " y[1] (closed_form) = 1.2581692465976722 " " y[1] (numeric) = 1.2581692465976724 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.764823019839993300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7360000000000005 " " y[1] (closed_form) = 1.2588402045568914 " " y[1] (numeric) = 1.2588402045568916 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.763882374595674000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7370000000000005 " " y[1] (closed_form) = 1.2595119036758442 " " y[1] (numeric) = 1.2595119036758444 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.76294169413565180000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7380000000000005 " " y[1] (closed_form) = 1.2601843432828317 " " y[1] (numeric) = 1.260184343282832 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.762000981115160200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7390000000000005 " " y[1] (closed_form) = 1.2608575227054142 " " y[1] (numeric) = 1.2608575227054144 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.76106023818291200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7400000000000005 " " y[1] (closed_form) = 1.2615314412704124 " " y[1] (numeric) = 1.2615314412704126 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.760119467981103900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7410000000000005 " " y[1] (closed_form) = 1.2622060983039078 " " y[1] (numeric) = 1.262206098303908 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.759178673145409800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7420000000000005 " " y[1] (closed_form) = 1.2628814931312435 " " y[1] (numeric) = 1.2628814931312438 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.758237856304982500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7430000000000005 " " y[1] (closed_form) = 1.2635576250770246 " " y[1] (numeric) = 1.2635576250770248 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.7572970200824500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7440000000000005 " " y[1] (closed_form) = 1.2642344934651193 " " y[1] (numeric) = 1.2642344934651195 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.756356167093914300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7450000000000006 " " y[1] (closed_form) = 1.2649120976186592 " " y[1] (numeric) = 1.2649120976186594 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.755415299948949200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7460000000000006 " " y[1] (closed_form) = 1.2655904368600401 " " y[1] (numeric) = 1.2655904368600404 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.754474421250600300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7470000000000006 " " y[1] (closed_form) = 1.266269510510923 " " y[1] (numeric) = 1.2662695105109232 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.753533533595381700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7480000000000006 " " y[1] (closed_form) = 1.2669493178922342 " " y[1] (numeric) = 1.2669493178922344 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.752592639573276300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7490000000000006 " " y[1] (closed_form) = 1.2676298583241665 " " y[1] (numeric) = 1.2676298583241667 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.751651741767734600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7500000000000006 " " y[1] (closed_form) = 1.2683111311261794 " " y[1] (numeric) = 1.2683111311261797 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.75071084275567200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7510000000000006 " " y[1] (closed_form) = 1.2689931356170003 " " y[1] (numeric) = 1.2689931356170006 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.749769945107468600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7520000000000006 " " y[1] (closed_form) = 1.2696758711146248 " " y[1] (numeric) = 1.2696758711146248 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7530000000000006 " " y[1] (closed_form) = 1.270359336936317 " " y[1] (numeric) = 1.270359336936317 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7540000000000006 " " y[1] (closed_form) = 1.2710435323986116 " " y[1] (numeric) = 1.2710435323986116 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7550000000000006 " " y[1] (closed_form) = 1.2717284568173128 " " y[1] (numeric) = 1.271728456817313 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.74600641933208400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7560000000000006 " " y[1] (closed_form) = 1.2724141095074968 " " y[1] (numeric) = 1.272414109507497 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.74506556683009700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7570000000000006 " " y[1] (closed_form) = 1.2731004897835105 " " y[1] (numeric) = 1.2731004897835108 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.74412473097696920000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7580000000000006 " " y[1] (closed_form) = 1.2737875969589743 " " y[1] (numeric) = 1.2737875969589743 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7590000000000006 " " y[1] (closed_form) = 1.27447543034678 " " y[1] (numeric) = 1.2744754303467802 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.74224311930920300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7600000000000006 " " y[1] (closed_form) = 1.2751639892590951 " " y[1] (numeric) = 1.2751639892590954 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.74130234852417100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7610000000000006 " " y[1] (closed_form) = 1.2758532730073608 " " y[1] (numeric) = 1.2758532730073608 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7620000000000006 " " y[1] (closed_form) = 1.2765432809022927 " " y[1] (numeric) = 1.276543280902293 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.739420889576768800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7630000000000006 " " y[1] (closed_form) = 1.2772340122538837 " " y[1] (numeric) = 1.2772340122538839 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.738480206404761400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7640000000000006 " " y[1] (closed_form) = 1.2779254663714021 " " y[1] (numeric) = 1.2779254663714024 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.73753955741655700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7650000000000006 " " y[1] (closed_form) = 1.2786176425633942 " " y[1] (numeric) = 1.2786176425633944 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.736598945090985800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7660000000000006 " " y[1] (closed_form) = 1.2793105401376834 " " y[1] (numeric) = 1.2793105401376836 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.735658371900337700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7670000000000006 " " y[1] (closed_form) = 1.2800041584013724 " " y[1] (numeric) = 1.2800041584013726 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.734717840310363300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7680000000000006 " " y[1] (closed_form) = 1.2806984966608432 " " y[1] (numeric) = 1.2806984966608432 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7690000000000006 " " y[1] (closed_form) = 1.2813935542217572 " " y[1] (numeric) = 1.2813935542217572 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7700000000000006 " " y[1] (closed_form) = 1.282089330389057 " " y[1] (numeric) = 1.282089330389057 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7710000000000006 " " y[1] (closed_form) = 1.2827858244669668 " " y[1] (numeric) = 1.2827858244669668 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7720000000000006 " " y[1] (closed_form) = 1.2834830357589921 " " y[1] (numeric) = 1.2834830357589921 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7730000000000006 " " y[1] (closed_form) = 1.2841809635679222 " " y[1] (numeric) = 1.2841809635679222 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7740000000000006 " " y[1] (closed_form) = 1.284879607195829 " " y[1] (numeric) = 1.284879607195829 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7750000000000006 " " y[1] (closed_form) = 1.285578965944069 " " y[1] (numeric) = 1.285578965944069 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7760000000000006 " " y[1] (closed_form) = 1.2862790391132837 " " y[1] (numeric) = 1.2862790391132837 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7770000000000006 " " y[1] (closed_form) = 1.2869798260033996 " " y[1] (numeric) = 1.2869798260033996 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7780000000000006 " " y[1] (closed_form) = 1.28768132591363 " " y[1] (numeric) = 1.2876813259136302 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.724375437125231500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7790000000000006 " " y[1] (closed_form) = 1.2883835381424753 " " y[1] (numeric) = 1.2883835381424753 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7800000000000006 " " y[1] (closed_form) = 1.289086461987723 " " y[1] (numeric) = 1.2890864619877231 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.72249582531994680000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7810000000000006 " " y[1] (closed_form) = 1.2897900967464495 " " y[1] (numeric) = 1.2897900967464497 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.721556131382527300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7820000000000006 " " y[1] (closed_form) = 1.2904944417150204 " " y[1] (numeric) = 1.2904944417150204 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7830000000000006 " " y[1] (closed_form) = 1.29119949618909 " " y[1] (numeric) = 1.2911994961890902 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.71967697927690300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7840000000000006 " " y[1] (closed_form) = 1.2919052594636047 " " y[1] (numeric) = 1.2919052594636047 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7850000000000006 " " y[1] (closed_form) = 1.2926117308328007 " " y[1] (numeric) = 1.2926117308328007 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7860000000000006 " " y[1] (closed_form) = 1.293318909590207 " " y[1] (numeric) = 1.293318909590207 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7870000000000006 " " y[1] (closed_form) = 1.2940267950286448 " " y[1] (numeric) = 1.2940267950286446 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.715919684028769400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7880000000000006 " " y[1] (closed_form) = 1.2947353864402287 " " y[1] (numeric) = 1.2947353864402285 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.714980584067646300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7890000000000006 " " y[1] (closed_form) = 1.2954446831163673 " " y[1] (numeric) = 1.2954446831163673 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7900000000000006 " " y[1] (closed_form) = 1.2961546843477643 " " y[1] (numeric) = 1.2961546843477643 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7910000000000006 " " y[1] (closed_form) = 1.2968653894244182 " " y[1] (numeric) = 1.2968653894244182 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7920000000000006 " " y[1] (closed_form) = 1.297576797635624 " " y[1] (numeric) = 1.297576797635624 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7930000000000006 " " y[1] (closed_form) = 1.2982889082699738 " " y[1] (numeric) = 1.2982889082699738 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7940000000000006 " " y[1] (closed_form) = 1.2990017206153568 " " y[1] (numeric) = 1.2990017206153568 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7950000000000006 " " y[1] (closed_form) = 1.2997152339589606 " " y[1] (numeric) = 1.2997152339589608 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.708409651002386600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7960000000000006 " " y[1] (closed_form) = 1.3004294475872724 " " y[1] (numeric) = 1.3004294475872724 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7970000000000006 " " y[1] (closed_form) = 1.3011443607860782 " " y[1] (numeric) = 1.3011443607860782 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7980000000000006 " " y[1] (closed_form) = 1.3018599728404647 " " y[1] (numeric) = 1.301859972840465 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.7055951450797202000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.7990000000000006 " " y[1] (closed_form) = 1.3025762830348204 " " y[1] (numeric) = 1.3025762830348206 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.704657207543334400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8000000000000006 " " y[1] (closed_form) = 1.3032932906528352 " " y[1] (numeric) = 1.3032932906528352 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8010000000000006 " " y[1] (closed_form) = 1.3040109949775007 " " y[1] (numeric) = 1.304010994977501 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.70278169264103800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8020000000000006 " " y[1] (closed_form) = 1.3047293952911136 " " y[1] (numeric) = 1.3047293952911139 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.70184411975701920000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8030000000000006 " " y[1] (closed_form) = 1.3054484908752733 " " y[1] (numeric) = 1.3054484908752735 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.700906672894887400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8040000000000006 " " y[1] (closed_form) = 1.3061682810108841 " " y[1] (numeric) = 1.3061682810108843 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.699969354279405300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8050000000000006 " " y[1] (closed_form) = 1.3068887649781562 " " y[1] (numeric) = 1.3068887649781564 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.699032166128864300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8060000000000006 " " y[1] (closed_form) = 1.3076099420566054 " " y[1] (numeric) = 1.3076099420566056 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.698095110655094300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8070000000000006 " " y[1] (closed_form) = 1.308331811525055 " " y[1] (numeric) = 1.308331811525055 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8080000000000006 " " y[1] (closed_form) = 1.3090543726616355 " " y[1] (numeric) = 1.3090543726616355 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8090000000000006 " " y[1] (closed_form) = 1.3097776247437856 " " y[1] (numeric) = 1.3097776247437856 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8100000000000006 " " y[1] (closed_form) = 1.3105015670482534 " " y[1] (numeric) = 1.3105015670482534 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8110000000000006 " " y[1] (closed_form) = 1.311226198851097 " " y[1] (numeric) = 1.3112261988510967 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.693411900399701700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8120000000000006 " " y[1] (closed_form) = 1.311951519427684 " " y[1] (numeric) = 1.3119515194276838 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.692475687073363700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8130000000000006 " " y[1] (closed_form) = 1.3126775280526943 " " y[1] (numeric) = 1.312677528052694 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.691539621725876300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8140000000000006 " " y[1] (closed_form) = 1.3134042240001191 " " y[1] (numeric) = 1.3134042240001191 " " absolute error = 0.0 " " relative error = 0.0 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8150000000000006 " " y[1] (closed_form) = 1.314131606543263 " " y[1] (numeric) = 1.3141316065432629 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.689667943601973500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8160000000000006 " " y[1] (closed_form) = 1.3148596749547432 " " y[1] (numeric) = 1.314859674954743 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.688732335126742800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8170000000000006 " " y[1] (closed_form) = 1.3155884285064912 " " y[1] (numeric) = 1.315588428506491 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.68779688323273900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8180000000000006 " " y[1] (closed_form) = 1.316317866469754 " " y[1] (numeric) = 1.3163178664697535 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.37372318010899500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8190000000000006 " " y[1] (closed_form) = 1.317047988115093 " " y[1] (numeric) = 1.3170479881150925 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.37185291544027600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8200000000000006 " " y[1] (closed_form) = 1.317778792712387 " " y[1] (numeric) = 1.3177787927123865 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.36998297670273500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8210000000000006 " " y[1] (closed_form) = 1.3185102795308312 " " y[1] (numeric) = 1.318510279530831 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.684056684063487000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8220000000000006 " " y[1] (closed_form) = 1.3192424478389395 " " y[1] (numeric) = 1.319242447838939 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.36624409393078800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8230000000000006 " " y[1] (closed_form) = 1.319975296904543 " " y[1] (numeric) = 1.3199752969045426 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.36437515831917830000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8240000000000006 " " y[1] (closed_form) = 1.3207088259947932 " " y[1] (numeric) = 1.3207088259947926 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.04375984822653200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8250000000000006 " " y[1] (closed_form) = 1.3214430343761605 " " y[1] (numeric) = 1.32144303437616 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 3.36063831960575200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8260000000000006 " " y[1] (closed_form) = 1.3221779213144371 " " y[1] (numeric) = 1.3221779213144365 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.038155637275050000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8270000000000006 " " y[1] (closed_form) = 1.3229134860747358 " " y[1] (numeric) = 1.3229134860747351 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.03535432805665600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8280000000000006 " " y[1] (closed_form) = 1.323649727921492 " " y[1] (numeric) = 1.3236497279214914 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.03255355796517400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8290000000000006 " " y[1] (closed_form) = 1.324386646118464 " " y[1] (numeric) = 1.3243866461184632 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.02975333319322400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8300000000000006 " " y[1] (closed_form) = 1.3251242399287335 " " y[1] (numeric) = 1.3251242399287326 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.7026048798857710000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8310000000000006 " " y[1] (closed_form) = 1.3258625086147067 " " y[1] (numeric) = 1.325862508614706 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.02415454428292700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8320000000000006 " " y[1] (closed_form) = 1.3266014514381153 " " y[1] (numeric) = 1.3266014514381146 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.021355992434390000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8330000000000006 " " y[1] (closed_form) = 1.3273410676600161 " " y[1] (numeric) = 1.3273410676600155 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.01855801048503900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8340000000000006 " " y[1] (closed_form) = 1.3280813565407934 " " y[1] (numeric) = 1.3280813565407927 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.015760604532159000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8350000000000006 " " y[1] (closed_form) = 1.3288223173401583 " " y[1] (numeric) = 1.3288223173401574 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.68395170753867700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8360000000000006 " " y[1] (closed_form) = 1.3295639493171496 " " y[1] (numeric) = 1.329563949317149 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.01016754490984400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8370000000000006 " " y[1] (closed_form) = 1.330306251730136 " " y[1] (numeric) = 1.3303062517301352 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.67649587111990600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8380000000000006 " " y[1] (closed_form) = 1.3310492238368146 " " y[1] (numeric) = 1.331049223836814 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.004576861965560000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8390000000000006 " " y[1] (closed_form) = 1.3317928648942137 " " y[1] (numeric) = 1.331792864894213 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 5.00178242678906300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8400000000000006 " " y[1] (closed_form) = 1.3325371741586922 " " y[1] (numeric) = 1.3325371741586916 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.99898860379383200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8410000000000006 " " y[1] (closed_form) = 1.3332821508859412 " " y[1] (numeric) = 1.3332821508859403 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.66159386525910700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8420000000000006 " " y[1] (closed_form) = 1.3340277943309835 " " y[1] (numeric) = 1.3340277943309826 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.65787042424815200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8430000000000006 " " y[1] (closed_form) = 1.334774103748176 " " y[1] (numeric) = 1.334774103748175 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.65414782326113200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8440000000000006 " " y[1] (closed_form) = 1.3355210783912095 " " y[1] (numeric) = 1.3355210783912084 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.31303258771886500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8450000000000006 " " y[1] (closed_form) = 1.336268717513109 " " y[1] (numeric) = 1.3362687175131078 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.30838146605243100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8460000000000006 " " y[1] (closed_form) = 1.3370170203662357 " " y[1] (numeric) = 1.3370170203662346 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.3037314238605900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8470000000000006 " " y[1] (closed_form) = 1.3377659862022868 " " y[1] (numeric) = 1.3377659862022857 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.29908247089545200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8480000000000006 " " y[1] (closed_form) = 1.3385156142722965 " " y[1] (numeric) = 1.3385156142722954 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.29443461687778300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8490000000000006 " " y[1] (closed_form) = 1.3392659038266368 " " y[1] (numeric) = 1.3392659038266357 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.28978787149703200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8500000000000006 " " y[1] (closed_form) = 1.3400168541150184 " " y[1] (numeric) = 1.340016854115017 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.94217069329364200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8510000000000006 " " y[1] (closed_form) = 1.3407684643864908 " " y[1] (numeric) = 1.3407684643864894 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.93659729429724700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8520000000000006 " " y[1] (closed_form) = 1.3415207338894437 " " y[1] (numeric) = 1.3415207338894424 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.93102526032207900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8530000000000006 " " y[1] (closed_form) = 1.3422736618716078 " " y[1] (numeric) = 1.3422736618716067 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.27121216903794500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8540000000000006 " " y[1] (closed_form) = 1.3430272475800555 " " y[1] (numeric) = 1.3430272475800542 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.91988533330760800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8550000000000006 " " y[1] (closed_form) = 1.3437814902612009 " " y[1] (numeric) = 1.3437814902611995 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.91431746311094800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8560000000000006 " " y[1] (closed_form) = 1.344536389160801 " " y[1] (numeric) = 1.3445363891607998 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.90875100362087700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8570000000000007 " " y[1] (closed_form) = 1.3452919435239576 " " y[1] (numeric) = 1.3452919435239563 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.90318596616543400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8580000000000007 " " y[1] (closed_form) = 1.346048152595116 " " y[1] (numeric) = 1.3460481525951147 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.89762236203541400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8590000000000007 " " y[1] (closed_form) = 1.3468050156180673 " " y[1] (numeric) = 1.346805015618066 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.89206020248441100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8600000000000007 " " y[1] (closed_form) = 1.3475625318359485 " " y[1] (numeric) = 1.3475625318359472 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.88649949872884500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8610000000000007 " " y[1] (closed_form) = 1.3483207004912439 " " y[1] (numeric) = 1.3483207004912423 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.15277636389393460000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8620000000000007 " " y[1] (closed_form) = 1.349079520825784 " " y[1] (numeric) = 1.3490795208257826 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.87538250328412500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8630000000000007 " " y[1] (closed_form) = 1.3498389920807492 " " y[1] (numeric) = 1.3498389920807479 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.86982623384233800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8640000000000007 " " y[1] (closed_form) = 1.3505991134966682 " " y[1] (numeric) = 1.3505991134966668 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.86427146469080300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8650000000000007 " " y[1] (closed_form) = 1.3513598843134196 " " y[1] (numeric) = 1.3513598843134182 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.858718206860699000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8660000000000007 " " y[1] (closed_form) = 1.3521213037702324 " " y[1] (numeric) = 1.3521213037702313 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.21097205945523600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8670000000000007 " " y[1] (closed_form) = 1.3528833711056878 " " y[1] (numeric) = 1.3528833711056865 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.84761626910492000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8680000000000007 " " y[1] (closed_form) = 1.353646085557718 " " y[1] (numeric) = 1.3536460855577166 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.84206761105712700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8690000000000007 " " y[1] (closed_form) = 1.3544094463636087 " " y[1] (numeric) = 1.3544094463636074 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.83652050808661700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8700000000000007 " " y[1] (closed_form) = 1.3551734527599995 " " y[1] (numeric) = 1.355173452759998 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.14694707995470670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8710000000000007 " " y[1] (closed_form) = 1.3559381039828833 " " y[1] (numeric) = 1.355938103982882 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.82543101072853800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8720000000000007 " " y[1] (closed_form) = 1.3567033992676099 " " y[1] (numeric) = 1.3567033992676083 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.14565367442455340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8730000000000007 " " y[1] (closed_form) = 1.3574693378488836 " " y[1] (numeric) = 1.3574693378488818 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.308579715115450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8740000000000007 " " y[1] (closed_form) = 1.3582359189607658 " " y[1] (numeric) = 1.358235918960764 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.30784115970029980000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8750000000000007 " " y[1] (closed_form) = 1.3590031418366753 " " y[1] (numeric) = 1.3590031418366737 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.14371496770389080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8760000000000007 " " y[1] (closed_form) = 1.35977100570939 " " y[1] (numeric) = 1.3597710057093881 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.30636469813057130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8770000000000007 " " y[1] (closed_form) = 1.3605395098110453 " " y[1] (numeric) = 1.3605395098110435 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.3056267948050660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8780000000000007 " " y[1] (closed_form) = 1.3613086533731376 " " y[1] (numeric) = 1.3613086533731358 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.3048891116637510000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8790000000000007 " " y[1] (closed_form) = 1.3620784356265232 " " y[1] (numeric) = 1.3620784356265214 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.30415165010902580000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8800000000000007 " " y[1] (closed_form) = 1.3628488558014205 " " y[1] (numeric) = 1.3628488558014185 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.46634121298075000000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8810000000000007 " " y[1] (closed_form) = 1.3636199131274083 " " y[1] (numeric) = 1.3636199131274065 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.30267739734472400000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8820000000000007 " " y[1] (closed_form) = 1.36439160683343 " " y[1] (numeric) = 1.3643916068334283 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.3019406089157470000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8830000000000007 " " y[1] (closed_form) = 1.3651639361477923 " " y[1] (numeric) = 1.3651639361477903 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.46385455358889250000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8840000000000007 " " y[1] (closed_form) = 1.3659369002981654 " " y[1] (numeric) = 1.3659369002981634 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.46302617923936150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8850000000000007 " " y[1] (closed_form) = 1.3667104985115852 " " y[1] (numeric) = 1.3667104985115832 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.46219806352672300000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8860000000000007 " " y[1] (closed_form) = 1.367484730014454 " " y[1] (numeric) = 1.367484730014452 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.46137020799066540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8870000000000007 " " y[1] (closed_form) = 1.3682595940325397 " " y[1] (numeric) = 1.3682595940325377 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.46054261416547840000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8880000000000007 " " y[1] (closed_form) = 1.3690350897909789 " " y[1] (numeric) = 1.3690350897909769 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.45971528358005280000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8890000000000007 " " y[1] (closed_form) = 1.3698112165142757 " " y[1] (numeric) = 1.3698112165142737 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.45888821775789200000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8900000000000007 " " y[1] (closed_form) = 1.3705879734263036 " " y[1] (numeric) = 1.3705879734263016 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.4580614182171178000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8910000000000007 " " y[1] (closed_form) = 1.3713653597503055 " " y[1] (numeric) = 1.3713653597503035 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.45723488647047730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8920000000000007 " " y[1] (closed_form) = 1.3721433747088954 " " y[1] (numeric) = 1.3721433747088934 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.45640862402534930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8930000000000007 " " y[1] (closed_form) = 1.3729220175240582 " " y[1] (numeric) = 1.3729220175240562 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.45558263238375300000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8940000000000007 " " y[1] (closed_form) = 1.373701287417151 " " y[1] (numeric) = 1.3737012874171493 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.29311725603764780000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8950000000000007 " " y[1] (closed_form) = 1.3744811836089044 " " y[1] (numeric) = 1.3744811836089026 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.29238352665997340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8960000000000007 " " y[1] (closed_form) = 1.375261705319422 " " y[1] (numeric) = 1.3752617053194203 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.29165004197340670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8970000000000007 " " y[1] (closed_form) = 1.3760428517681824 " " y[1] (numeric) = 1.3760428517681806 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2909168032940790000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8980000000000007 " " y[1] (closed_form) = 1.376824622174039 " " y[1] (numeric) = 1.3768246221740372 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.29018381193338940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8990000000000007 " " y[1] (closed_form) = 1.3776070157552214 " " y[1] (numeric) = 1.3776070157552196 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28945106919801040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9000000000000007 " " y[1] (closed_form) = 1.378390031729336 " " y[1] (numeric) = 1.3783900317293343 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2887185763898940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9010000000000007 " " y[1] (closed_form) = 1.3791736693133674 " " y[1] (numeric) = 1.3791736693133656 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28798633480627870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9020000000000007 " " y[1] (closed_form) = 1.3799579277236775 " " y[1] (numeric) = 1.3799579277236758 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2872543457396970000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9030000000000007 " " y[1] (closed_form) = 1.3807428061760083 " " y[1] (numeric) = 1.3807428061760065 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28652261047798060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9040000000000007 " " y[1] (closed_form) = 1.3815283038854813 " " y[1] (numeric) = 1.3815283038854795 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28579113030426740000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9050000000000007 " " y[1] (closed_form) = 1.3823144200665989 " " y[1] (numeric) = 1.382314420066597 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28505990649700860000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9060000000000007 " " y[1] (closed_form) = 1.383101153933245 " " y[1] (numeric) = 1.3831011539332432 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28432894032997500000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9070000000000007 " " y[1] (closed_form) = 1.3838885046986857 " " y[1] (numeric) = 1.383888504698684 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2835982330722640000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9080000000000007 " " y[1] (closed_form) = 1.3846764715755704 " " y[1] (numeric) = 1.3846764715755686 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28286778598830530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9090000000000007 " " y[1] (closed_form) = 1.385465053775932 " " y[1] (numeric) = 1.3854650537759303 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28213760033786930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9100000000000007 " " y[1] (closed_form) = 1.386254250511189 " " y[1] (numeric) = 1.3862542505111872 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28140767737607240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9110000000000007 " " y[1] (closed_form) = 1.3870440609921442 " " y[1] (numeric) = 1.3870440609921424 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.28067801835338450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9120000000000007 " " y[1] (closed_form) = 1.3878344844289874 " " y[1] (numeric) = 1.3878344844289854 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43994220258009180000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9130000000000007 " " y[1] (closed_form) = 1.388625520031295 " " y[1] (numeric) = 1.3886255200312931 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.27921949710402660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9140000000000007 " " y[1] (closed_form) = 1.3894171670080318 " " y[1] (numeric) = 1.3894171670080298 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43830196702451560000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9150000000000007 " " y[1] (closed_form) = 1.3902094245675505 " " y[1] (numeric) = 1.3902094245675485 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43748230231349530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9160000000000007 " " y[1] (closed_form) = 1.391002291917594 " " y[1] (numeric) = 1.391002291917592 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43666294148972670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9170000000000007 " " y[1] (closed_form) = 1.3917957682652946 " " y[1] (numeric) = 1.3917957682652926 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43584388592878670000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9180000000000007 " " y[1] (closed_form) = 1.3925898528171763 " " y[1] (numeric) = 1.3925898528171743 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43502513700108000000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9190000000000007 " " y[1] (closed_form) = 1.3933845447791549 " " y[1] (numeric) = 1.3933845447791526 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.59356299563538170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9200000000000007 " " y[1] (closed_form) = 1.3941798433565378 " " y[1] (numeric) = 1.3941798433565356 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.59265396055684630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9210000000000007 " " y[1] (closed_form) = 1.3949757477540268 " " y[1] (numeric) = 1.3949757477540248 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43257074364396470000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9220000000000007 " " y[1] (closed_form) = 1.395772257175718 " " y[1] (numeric) = 1.3957722571757158 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.59083692761115970000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9230000000000007 " " y[1] (closed_form) = 1.3965693708251012 " " y[1] (numeric) = 1.3965693708250992 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.4309360394640580000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9240000000000007 " " y[1] (closed_form) = 1.3973670879050637 " " y[1] (numeric) = 1.3973670879050617 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.43011915882553830000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9250000000000007 " " y[1] (closed_form) = 1.398165407617888 " " y[1] (numeric) = 1.398165407617886 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.42930259426890030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9260000000000007 " " y[1] (closed_form) = 1.3989643291652545 " " y[1] (numeric) = 1.3989643291652525 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.42848634712345000000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9270000000000007 " " y[1] (closed_form) = 1.3997638517482418 " " y[1] (numeric) = 1.3997638517482398 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.42767041871339120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9280000000000007 " " y[1] (closed_form) = 1.4005639745673273 " " y[1] (numeric) = 1.4005639745673253 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.42685481035783680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9290000000000007 " " y[1] (closed_form) = 1.401364696822388 " " y[1] (numeric) = 1.4013646968223863 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.26759068744072220000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9300000000000007 " " y[1] (closed_form) = 1.4021660177127022 " " y[1] (numeric) = 1.4021660177127004 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2668662747211280000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9310000000000007 " " y[1] (closed_form) = 1.4029679364369492 " " y[1] (numeric) = 1.4029679364369472 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.4244099187330872000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9320000000000007 " " y[1] (closed_form) = 1.4037704521932095 " " y[1] (numeric) = 1.4037704521932077 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.26541831438674530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9330000000000007 " " y[1] (closed_form) = 1.404573564178968 " " y[1] (numeric) = 1.4045735641789663 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.26469476907648150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9340000000000007 " " y[1] (closed_form) = 1.405377271591113 " " y[1] (numeric) = 1.405377271591111 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.42196795459967130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9350000000000007 " " y[1] (closed_form) = 1.4061815736259367 " " y[1] (numeric) = 1.4061815736259347 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.42115462313466780000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9360000000000007 " " y[1] (closed_form) = 1.4069864694791372 " " y[1] (numeric) = 1.4069864694791352 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.42034162209469200000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9370000000000007 " " y[1] (closed_form) = 1.407791958345819 " " y[1] (numeric) = 1.407791958345817 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.41952895275338800000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9380000000000007 " " y[1] (closed_form) = 1.4085980394204929 " " y[1] (numeric) = 1.4085980394204909 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.41871661637938820000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9390000000000007 " " y[1] (closed_form) = 1.409404711897078 " " y[1] (numeric) = 1.409404711897076 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.41790461423632270000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9400000000000007 " " y[1] (closed_form) = 1.4102119749689024 " " y[1] (numeric) = 1.4102119749689002 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.57454771953647430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9410000000000007 " " y[1] (closed_form) = 1.4110198278287025 " " y[1] (numeric) = 1.4110198278287003 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.5736462418583919000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9420000000000007 " " y[1] (closed_form) = 1.4118282696686255 " " y[1] (numeric) = 1.4118282696686235 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.41547062575417380000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9430000000000007 " " y[1] (closed_form) = 1.41263729968023 " " y[1] (numeric) = 1.4126372996802279 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.57184441452377170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9440000000000007 " " y[1] (closed_form) = 1.4134469170544857 " " y[1] (numeric) = 1.4134469170544837 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.41384966086296050000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9450000000000007 " " y[1] (closed_form) = 1.4142571209817758 " " y[1] (numeric) = 1.4142571209817736 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.57004410040296060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9460000000000007 " " y[1] (closed_form) = 1.4150679106518957 " " y[1] (numeric) = 1.4150679106518937 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.4122300627993570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9470000000000007 " " y[1] (closed_form) = 1.4158792852540565 " " y[1] (numeric) = 1.4158792852540545 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.41142077939695350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9480000000000007 " " y[1] (closed_form) = 1.4166912439768833 " " y[1] (numeric) = 1.4166912439768813 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.4106118413744430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9490000000000007 " " y[1] (closed_form) = 1.4175037860084174 " " y[1] (numeric) = 1.4175037860084154 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.4098032499458982000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9500000000000007 " " y[1] (closed_form) = 1.418316910536117 " " y[1] (numeric) = 1.418316910536115 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.40899500632048120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9510000000000007 " " y[1] (closed_form) = 1.4191306167468576 " " y[1] (numeric) = 1.4191306167468558 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.25172187706884960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9520000000000007 " " y[1] (closed_form) = 1.4199449038269332 " " y[1] (numeric) = 1.4199449038269314 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.25100405981439260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9530000000000007 " " y[1] (closed_form) = 1.4207597709620565 " " y[1] (numeric) = 1.4207597709620547 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.25028655491660230000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9540000000000007 " " y[1] (closed_form) = 1.4215752173373606 " " y[1] (numeric) = 1.4215752173373588 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2495693634329129000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9550000000000007 " " y[1] (closed_form) = 1.4223912421373992 " " y[1] (numeric) = 1.4223912421373974 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24885248641643370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9560000000000007 " " y[1] (closed_form) = 1.4232078445461473 " " y[1] (numeric) = 1.4232078445461458 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09211893430146190000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9570000000000007 " " y[1] (closed_form) = 1.424025023747003 " " y[1] (numeric) = 1.4240250237470014 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09149221997896830000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9580000000000007 " " y[1] (closed_form) = 1.424842778922787 " " y[1] (numeric) = 1.4248427789227853 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24670375263663520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9590000000000007 " " y[1] (closed_form) = 1.4256611092557439 " " y[1] (numeric) = 1.4256611092557423 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09023962594212640000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9600000000000007 " " y[1] (closed_form) = 1.426480013927544 " " y[1] (numeric) = 1.4264800139275422 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24527285489923310000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9610000000000007 " " y[1] (closed_form) = 1.4272994921192823 " " y[1] (numeric) = 1.4272994921192803 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.40012762238009040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9620000000000007 " " y[1] (closed_form) = 1.4281195430114806 " " y[1] (numeric) = 1.4281195430114786 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.39932364493188440000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9630000000000007 " " y[1] (closed_form) = 1.4289401657840881 " " y[1] (numeric) = 1.4289401657840863 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.2431289160561370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9640000000000007 " " y[1] (closed_form) = 1.4297613596164824 " " y[1] (numeric) = 1.4297613596164807 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.24241491592466750000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9650000000000007 " " y[1] (closed_form) = 1.4305831236874698 " " y[1] (numeric) = 1.4305831236874678 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.39691389562474650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9660000000000007 " " y[1] (closed_form) = 1.431405457175286 " " y[1] (numeric) = 1.431405457175284 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.39611137732344350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9670000000000007 " " y[1] (closed_form) = 1.4322283592575973 " " y[1] (numeric) = 1.4322283592575953 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.39530922663838540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9680000000000007 " " y[1] (closed_form) = 1.4330518291115024 " " y[1] (numeric) = 1.4330518291115002 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54945271632429240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9690000000000007 " " y[1] (closed_form) = 1.4338758659135307 " " y[1] (numeric) = 1.4338758659135287 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.39370603260142640000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9700000000000008 " " y[1] (closed_form) = 1.4347004688396463 " " y[1] (numeric) = 1.434700468839644 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54767221275543350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9710000000000008 " " y[1] (closed_form) = 1.4355256370652458 " " y[1] (numeric) = 1.4355256370652436 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54678258048371700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9720000000000008 " " y[1] (closed_form) = 1.4363513697651613 " " y[1] (numeric) = 1.436351369765159 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54589336285685360000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9730000000000008 " " y[1] (closed_form) = 1.43717766611366 " " y[1] (numeric) = 1.4371776661136577 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54500456109558540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9740000000000008 " " y[1] (closed_form) = 1.4380045252844456 " " y[1] (numeric) = 1.4380045252844433 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54411617641543680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9750000000000008 " " y[1] (closed_form) = 1.4388319464506591 " " y[1] (numeric) = 1.438831946450657 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54322821002672060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9760000000000008 " " y[1] (closed_form) = 1.4396599287848795 " " y[1] (numeric) = 1.4396599287848773 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.5423406631345520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9770000000000008 " " y[1] (closed_form) = 1.4404884714591244 " " y[1] (numeric) = 1.4404884714591222 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54145353693885570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9780000000000008 " " y[1] (closed_form) = 1.4413175736448511 " " y[1] (numeric) = 1.441317573644849 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.54056683263437660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9790000000000008 " " y[1] (closed_form) = 1.4421472345129578 " " y[1] (numeric) = 1.4421472345129556 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53968055141069040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9800000000000008 " " y[1] (closed_form) = 1.4429774532337833 " " y[1] (numeric) = 1.4429774532337811 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53879469445221380000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9810000000000008 " " y[1] (closed_form) = 1.4438082289771093 " " y[1] (numeric) = 1.443808228977107 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53790926293821320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9820000000000008 " " y[1] (closed_form) = 1.4446395609121598 " " y[1] (numeric) = 1.4446395609121576 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53702425804281700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9830000000000008 " " y[1] (closed_form) = 1.4454714482076032 " " y[1] (numeric) = 1.445471448207601 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.5361396809350228000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9840000000000008 " " y[1] (closed_form) = 1.4463038900315524 " " y[1] (numeric) = 1.44630389003155 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.68878108605658220000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9850000000000008 " " y[1] (closed_form) = 1.447136885551565 " " y[1] (numeric) = 1.4471368855515627 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53437181473265200000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9860000000000008 " " y[1] (closed_form) = 1.4479704339346462 " " y[1] (numeric) = 1.447970433934644 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53348852795051780000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9870000000000008 " " y[1] (closed_form) = 1.4488045343472475 " " y[1] (numeric) = 1.4488045343472453 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53260567358089130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9880000000000008 " " y[1] (closed_form) = 1.4496391859552684 " " y[1] (numeric) = 1.4496391859552662 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53172325276727830000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9890000000000008 " " y[1] (closed_form) = 1.4504743879240576 " " y[1] (numeric) = 1.4504743879240554 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.53084126664811470000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9900000000000008 " " y[1] (closed_form) = 1.4513101394184131 " " y[1] (numeric) = 1.4513101394184107 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.6829556879924570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9910000000000008 " " y[1] (closed_form) = 1.4521464396025834 " " y[1] (numeric) = 1.452146439602581 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.68198646332376330000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9920000000000008 " " y[1] (closed_form) = 1.4529832876402684 " " y[1] (numeric) = 1.452983287640266 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.68101772054246730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9930000000000008 " " y[1] (closed_form) = 1.4538206826946203 " " y[1] (numeric) = 1.4538206826946178 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.68004946087866150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9940000000000008 " " y[1] (closed_form) = 1.454658623928244 " " y[1] (numeric) = 1.4546586239282415 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.67908168555691900000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9950000000000008 " " y[1] (closed_form) = 1.455497110503198 " " y[1] (numeric) = 1.4554971105031957 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.5255585416330060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9960000000000008 " " y[1] (closed_form) = 1.4563361415809966 " " y[1] (numeric) = 1.4563361415809941 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.67714759281039320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9970000000000008 " " y[1] (closed_form) = 1.4571757163226078 " " y[1] (numeric) = 1.4571757163226056 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.52380116164296730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9980000000000008 " " y[1] (closed_form) = 1.458015833888458 " " y[1] (numeric) = 1.4580158338884555 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.675215451989530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9990000000000008 " " y[1] (closed_form) = 1.4588564934384287 " " y[1] (numeric) = 1.4588564934384263 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.67425011655433940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " "Finished!" "diff ( y , x , 1 ) = sin ( x ) ; " Iterations = 900 "Total Elapsed Time "= 23 Seconds "Elapsed Time(since restart) "= 23 Seconds "Expected Time Remaining "= 0 Seconds "Optimized Time Remaining "= 0 Seconds "Expected Total Time "= 23 Seconds "Time to Timeout "= 2 Minutes 36 Seconds Percent Done = 0.0 "%" (%o252) temp/diffeq.sin_back.max