(%i1) batch("temp/diffeq.sing3_back.max") read and interpret file: /home/dennis/src/mine/omni/testtar/omnisode0060dir/temp/diffeq.sing3_back.max (%i2) load("stringproc") (%i3) keepfloat:true (%i4) alias(convfloat,float) (%i5) alias(int_trunc,truncate) (%i6) alias(elapsed_time_seconds,elapsed_real_time) (%i7) alias(ln,log) (%i8) alias(arcsin,asin) (%i9) alias(arccos,acos) (%i10) alias(arctan,atan) (%i11) alias(float_abs,abs) (%i12) mode_declare(display_poles(),fixnum) (%i13) mode_declare(est_size_answer(),convfloat) (%i14) mode_declare(test_suggested_h(),convfloat) (%i15) mode_declare(reached_interval(),boolean) (%i16) mode_declare(display_alot([iter],fixnum),fixnum) (%i17) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum) (%i18) mode_declare(check_for_pole(),fixnum) (%i19) mode_declare(atomall(),fixnum) (%i20) mode_declare(log10([x],convfloat),convfloat) (%i21) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum) (%i22) mode_declare(omniout_timestr(secs_in,number),fixnum) (%i23) mode_declare(zero_ats_ar(ar,array([20],convfloat)),fixnum) (%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a], completearray([20],convfloat),[arr_b], completearray([20],convfloat),[jjj_ats],fixnum), convfloat) (%i25) mode_declare(att([mmm_att],fixnum,[arr_a], completearray([20],convfloat),[arr_b], completearray([20],convfloat),[jjj_att],fixnum), convfloat) (%i26) mode_declare(logitem_ditto([file],fixnum),fixnum) (%i27) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum) (%i28) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum) (%i29) mode_declare(logitem_number([file],fixnum,[x],number),fixnum) (%i30) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum) (%i31) mode_declare(logstart([file],fixnum),fixnum) (%i32) mode_declare(logend([file],fixnum),fixnum) (%i33) mode_declare(chk_data(),fixnum) (%i34) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat, [t2],convfloat,[clock_sec2],convfloat), convfloat) (%i35) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2], convfloat),convfloat) (%i36) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i37) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i38) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i39) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i40) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i41) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i42) mode_declare(neg([nnn],convfloat),convfloat) (%i43) mode_declare(factorial_2([nnn],fixnum),convfloat) (%i44) mode_declare(factorial_1([nnn],fixnum),convfloat) (%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),convfloat) (%i46) mode_declare(convfloat([mmm],fixnum),convfloat) (%i47) mode_declare(elaped_time_seconds(),convfloat) (%i48) mode_declare(Si([x],convfloat),convfloat) (%i49) mode_declare(Ci([x],convfloat),convfloat) (%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end], convfloat,[estimated_h], convfloat,[estimated_answer], convfloat),convfloat) (%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat) (%i52) mode_declare(main_prog(),fixnum) (%i53) define_variable(always,1,fixnum) (%i54) define_variable(info,2,fixnum) (%i55) define_variable(debugl,3,fixnum) (%i56) define_variable(debugmassive,4,fixnum) (%i57) define_variable(glob_iolevel,5,fixnum) (%i58) define_variable(glob_yes_pole,4,fixnum) (%i59) define_variable(glob_no_pole,3,fixnum) (%i60) define_variable(glob_not_given,0,fixnum) (%i61) define_variable(glob_no_sing_tests,4,fixnum) (%i62) define_variable(glob_ratio_test,1,fixnum) (%i63) define_variable(glob_three_term_test,2,fixnum) (%i64) define_variable(glob_six_term_test,3,fixnum) (%i65) define_variable(ats_max_terms,20,fixnum) (%i66) define_variable(glob_log_10,0.0,convfloat) (%i67) define_variable(max_unchanged,10,fixnum) (%i68) define_variable(glob__small,1.0E-51,convfloat) (%i69) define_variable(glob_small_float,1.0E-51,convfloat) (%i70) define_variable(glob_smallish_float,1.0E-61,convfloat) (%i71) define_variable(glob_large_float,1.0E+100,convfloat) (%i72) define_variable(glob_larger_float,1.1E+100,convfloat) (%i73) define_variable(glob__m2,-2.0,convfloat) (%i74) define_variable(glob__m1,-1.0,convfloat) (%i75) define_variable(glob__0,0.0,convfloat) (%i76) define_variable(glob__1,1.0,convfloat) (%i77) define_variable(glob__2,2.0,convfloat) (%i78) define_variable(glob__3,3.0,convfloat) (%i79) define_variable(glob__4,4.0,convfloat) (%i80) define_variable(glob__5,5.0,convfloat) (%i81) define_variable(glob__8,8.0,convfloat) (%i82) define_variable(glob__10,10.0,convfloat) (%i83) define_variable(glob__100,100.0,convfloat) (%i84) define_variable(glob__pi,0.0,convfloat) (%i85) define_variable(glob__0_5,0.5,convfloat) (%i86) define_variable(glob__0_8,0.8,convfloat) (%i87) define_variable(glob__m0_8,-0.8,convfloat) (%i88) define_variable(glob__0_25,0.25,convfloat) (%i89) define_variable(glob__0_125,0.125,convfloat) (%i90) define_variable(glob_prec,1.0E-16,convfloat) (%i91) define_variable(glob_check_sign,1.0,convfloat) (%i92) define_variable(glob_desired_digits_correct,8.0,convfloat) (%i93) define_variable(glob_max_estimated_step_error,0.0,convfloat) (%i94) define_variable(glob_ratio_of_radius,0.1,convfloat) (%i95) define_variable(glob_percent_done,0.0,convfloat) (%i96) define_variable(glob_total_exp_sec,0.1,convfloat) (%i97) define_variable(glob_optimal_expect_sec,0.1,convfloat) (%i98) define_variable(glob_estimated_size_answer,100.0,convfloat) (%i99) define_variable(glob_almost_1,0.999,convfloat) (%i100) define_variable(glob_clock_sec,0.0,convfloat) (%i101) define_variable(glob_clock_start_sec,0.0,convfloat) (%i102) define_variable(glob_disp_incr,0.1,convfloat) (%i103) define_variable(glob_h,0.1,convfloat) (%i104) define_variable(glob_diff_rc_fm,0.1,convfloat) (%i105) define_variable(glob_diff_rc_fmm1,0.1,convfloat) (%i106) define_variable(glob_diff_rc_fmm2,0.1,convfloat) (%i107) define_variable(glob_diff_ord_fm,0.1,convfloat) (%i108) define_variable(glob_diff_ord_fmm1,0.1,convfloat) (%i109) define_variable(glob_diff_ord_fmm2,0.1,convfloat) (%i110) define_variable(glob_six_term_ord_save,0.1,convfloat) (%i111) define_variable(glob_guess_error_rc,0.1,convfloat) (%i112) define_variable(glob_guess_error_ord,0.1,convfloat) (%i113) define_variable(glob_least_given_sing,9.9E+200,convfloat) (%i114) define_variable(glob_least_ratio_sing,9.9E+200,convfloat) (%i115) define_variable(glob_least_3_sing,9.9E+100,convfloat) (%i116) define_variable(glob_least_6_sing,9.9E+100,convfloat) (%i117) define_variable(glob_last_good_h,0.1,convfloat) (%i118) define_variable(glob_max_h,0.1,convfloat) (%i119) define_variable(glob_min_h,1.0E-6,convfloat) (%i120) define_variable(glob_display_interval,0.1,convfloat) (%i121) define_variable(glob_abserr,1.0E-11,convfloat) (%i122) define_variable(glob_relerr,1.0E-11,convfloat) (%i123) define_variable(glob_min_pole_est,1.0E+9,convfloat) (%i124) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat) (%i125) define_variable(glob_max_trunc_err,1.0E-11,convfloat) (%i126) define_variable(glob_max_hours,0.0,convfloat) (%i127) define_variable(glob_optimal_clock_start_sec,0.0,convfloat) (%i128) define_variable(glob_optimal_start,0.0,convfloat) (%i129) define_variable(glob_upper_ratio_limit,1.0001,convfloat) (%i130) define_variable(glob_lower_ratio_limit,0.9999,convfloat) (%i131) define_variable(glob_max_sec,10000.0,convfloat) (%i132) define_variable(glob_orig_start_sec,0.0,convfloat) (%i133) define_variable(glob_normmax,0.0,convfloat) (%i134) define_variable(glob_max_minutes,0.0,convfloat) (%i135) define_variable(glob_next_display,0.0,convfloat) (%i136) define_variable(glob_est_digits,1,fixnum) (%i137) define_variable(glob_subiter_method,3,fixnum) (%i138) define_variable(glob_html_log,true,boolean) (%i139) define_variable(glob_min_good_digits,99999,fixnum) (%i140) define_variable(glob_good_digits,0,fixnum) (%i141) define_variable(glob_min_apfp_est_good_digits,99999,fixnum) (%i142) define_variable(glob_apfp_est_good_digits,0,fixnum) (%i143) define_variable(glob_max_opt_iter,10,fixnum) (%i144) define_variable(glob_dump,false,boolean) (%i145) define_variable(glob_djd_debug,true,boolean) (%i146) define_variable(glob_display_flag,true,boolean) (%i147) define_variable(glob_djd_debug2,true,boolean) (%i148) define_variable(glob_h_reason,0,fixnum) (%i149) define_variable(glob_sec_in_minute,60,fixnum) (%i150) define_variable(glob_min_in_hour,60,fixnum) (%i151) define_variable(glob_hours_in_day,24,fixnum) (%i152) define_variable(glob_days_in_year,365,fixnum) (%i153) define_variable(glob_sec_in_hour,3600,fixnum) (%i154) define_variable(glob_sec_in_day,86400,fixnum) (%i155) define_variable(glob_sec_in_year,31536000,fixnum) (%i156) define_variable(glob_not_yet_finished,true,boolean) (%i157) define_variable(glob_initial_pass,true,boolean) (%i158) define_variable(glob_not_yet_start_msg,true,boolean) (%i159) define_variable(glob_reached_optimal_h,false,boolean) (%i160) define_variable(glob_optimal_done,false,boolean) (%i161) define_variable(glob_type_given_pole,0,fixnum) (%i162) define_variable(glob_optimize,false,boolean) (%i163) define_variable(glob_look_poles,false,boolean) (%i164) define_variable(glob_dump_closed_form,false,boolean) (%i165) define_variable(glob_max_iter,1000,fixnum) (%i166) define_variable(glob_no_eqs,0,fixnum) (%i167) define_variable(glob_unchanged_h_cnt,0,fixnum) (%i168) define_variable(glob_warned,false,boolean) (%i169) define_variable(glob_warned2,false,boolean) (%i170) define_variable(glob_start,0,fixnum) (%i171) define_variable(glob_iter,0,fixnum) (%i172) completearray(array_y_init,[20],convfloat) (%i173) completearray(array_norms,[20],convfloat) (%i174) completearray(array_fact_1,[20],convfloat) (%i175) completearray(array_1st_rel_error,[2],convfloat) (%i176) completearray(array_last_rel_error,[2],convfloat) (%i177) completearray(array_est_rel_error,[2],convfloat) (%i178) completearray(array_max_est_error,[2],convfloat) (%i179) completearray(array_type_pole,[2],convfloat) (%i180) completearray(array_type_real_pole,[2],convfloat) (%i181) completearray(array_type_complex_pole,[2],convfloat) (%i182) completearray(array_est_digits,[2],convfloat) (%i183) completearray(array_y,[20],convfloat) (%i184) completearray(array_x,[20],convfloat) (%i185) completearray(array_tmp0,[20],convfloat) (%i186) completearray(array_tmp1,[20],convfloat) (%i187) completearray(array_tmp2,[20],convfloat) (%i188) completearray(array_tmp3,[20],convfloat) (%i189) completearray(array_tmp4,[20],convfloat) (%i190) completearray(array_tmp5,[20],convfloat) (%i191) completearray(array_m1,[20],convfloat) (%i192) completearray(array_y_higher,[2,20],convfloat) (%i193) completearray(array_y_higher_work,[2,20],convfloat) (%i194) completearray(array_y_higher_work2,[2,20],convfloat) (%i195) completearray(array_y_set_initial,[2,20],convfloat) (%i196) completearray(array_given_rad_poles,[2,3],convfloat) (%i197) completearray(array_given_ord_poles,[2,3],convfloat) (%i198) completearray(array_rad_test_poles,[2,4],convfloat) (%i199) completearray(array_ord_test_poles,[2,4],convfloat) (%i200) completearray(array_fact_2,[20,20],convfloat) (%i201) omniout_str(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a~%",string(str)) (%i202) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a",string(str)) (%i203) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel then printf(true,"~a = ~a~%",string(label), string(str)) (%i204) 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)) (%i205) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (printf(true,"~a = ~d ~a~%",prelabel,value, postlabel),newline()) (%i206) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen, postlabel):=if glob_iolevel >= iolevel then (sprint(prelabel,"[",elemnt,"]=",value, postlabel),newline()) (%i207) 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) (%i208) 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) (%i209) 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) (%i210) 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) (%i211) 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) (%i212) logditto(file):=(printf(file,""),printf(file,"ditto"), printf(file,""),0) (%i213) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n), printf(file,""),0) (%i214) logitem_str(file,str):=(printf(file,""),printf(file,str), printf(file,""),0) (%i215) logitem_good_digits(file,rel_error):=( block(mode_declare([[good_digits],fixnum]), printf(file,""), printf(file,"~d",glob_min_good_digits), printf(file,"")),0) (%i216) log_revs(file,revs):=printf(file,revs) (%i217) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x), printf(file,""),0) (%i218) 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) (%i219) logstart(file):=(printf(file,""),0) (%i220) logend(file):=(printf(file,"~%"),0) (%i221) 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) (%i222) 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) (%i223) 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) (%i224) 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) (%i225) 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) (%i226) c(in_val):=(ret:in_val,ret) (%i227) 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) (%i228) 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) (%i229) 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) (%i230) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save (%i231) factorial_2(nnn):=block(mode_declare([[ret],convfloat]),ret:nnn!,ret) (%i232) 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) (%i233) factorial_1(in):=block(mode_declare([[ret],convfloat]),ret:in!,ret) (%i234) neg(in):=block(mode_declare([[ret],convfloat]),ret:-in,ret) (%i235) 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) (%i236) log10(x):=log(x)/glob_log_10 (%i237) c(x):=x (%i238) 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 (%i239) 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) (%i240) exact_soln_y(x):=block(c(1.0)/c(x)/c(x)) c(1.0) ------ c(x) (%o240) exact_soln_y(x) := block(------) c(x) (%i241) 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) (%i242) my_check_sign(x0,xf):=block([ret], if xf > x0 then ret:glob__1 else ret:glob__m1,ret) (%i243) 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) (%i244) 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) (%i245) 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)) (%i246) 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)) (%i247) 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(23) *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) (%i248) 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) (%i249) 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) (%i250) atomall():=( block(mode_declare([[kkk,order_d],fixnum, [adj2,adj3,temporary,term,temp,temp2], convfloat]), array_tmp1[1]:neg(array_const_2D0[1]), array_tmp2[1]:array_tmp1[1]/array_x[1], array_tmp3[1]:array_tmp2[1]/array_x[1], array_tmp4[1]:array_tmp3[1]/array_x[1], array_tmp5[1]:array_tmp4[1]+array_const_0D0[1], if not array_y_set_initial[1,2] then (if 1 <= ats_max_terms then ( temporary :c(array_tmp5[1])*expt(glob_h,c(1)) *c(factorial_3(0,1)), if 2 <= ats_max_terms then (array_y[2]:temporary, array_y_higher[1,2]:temporary), temporary:c(temporary)*c(1)/c(glob_h), array_y_higher[2,1]:c(temporary),0)), kkk:2, array_tmp2[2]:neg(array_tmp2[1])*array_x[2]/array_x[1], array_tmp3[2]:(array_tmp2[2]-array_tmp3[1]*array_x[2]) /array_x[1], array_tmp4[2]:(array_tmp3[2]-array_tmp4[1]*array_x[2]) /array_x[1],array_tmp5[2]:array_tmp4[2], if not array_y_set_initial[1,3] then (if 2 <= ats_max_terms then ( temporary :c(array_tmp5[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_tmp2[3]:neg(array_tmp2[2])*array_x[2]/array_x[1], array_tmp3[3]:(array_tmp2[3]-array_tmp3[2]*array_x[2]) /array_x[1], array_tmp4[3]:(array_tmp3[3]-array_tmp4[2]*array_x[2]) /array_x[1],array_tmp5[3]:array_tmp4[3], if not array_y_set_initial[1,4] then (if 3 <= ats_max_terms then ( temporary :c(array_tmp5[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_tmp2[4]:neg(array_tmp2[3])*array_x[2]/array_x[1], array_tmp3[4]:(array_tmp2[4]-array_tmp3[3]*array_x[2]) /array_x[1], array_tmp4[4]:(array_tmp3[4]-array_tmp4[3]*array_x[2]) /array_x[1],array_tmp5[4]:array_tmp4[4], if not array_y_set_initial[1,5] then (if 4 <= ats_max_terms then ( temporary :c(array_tmp5[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_tmp2[5]:neg(array_tmp2[4])*array_x[2]/array_x[1], array_tmp3[5]:(array_tmp2[5]-array_tmp3[4]*array_x[2]) /array_x[1], array_tmp4[5]:(array_tmp3[5]-array_tmp4[4]*array_x[2]) /array_x[1],array_tmp5[5]:array_tmp4[5], if not array_y_set_initial[1,6] then (if 5 <= ats_max_terms then ( temporary :c(array_tmp5[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_tmp2[kkk]:array_tmp1[1]*array_x[kkk], array_tmp3[kkk] :neg(ats(kkk,array_x,array_tmp3,2))/array_x[1], array_tmp4[kkk] :neg(ats(kkk,array_x,array_tmp4,2))/array_x[1], array_tmp5[kkk]:array_tmp4[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_tmp5[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) (%i251) exact_soln_y(x):=block(c(1.0)/c(x)/c(x)) c(1.0) ------ c(x) (%o251) exact_soln_y(x) := block(------) c(x) (%i252) main_prog():=block( mode_declare([[d1,d2,d3,d4,est_err_2,display_max],convfloat, [niii,done_once,term,ord,order_diff,term_no, html_log_file,iiif,jjjf,rows,r_order, sub_iter,calc_term,iii],fixnum,[temp_sum], convfloat,[current_iter],fixnum, [x_start,x_end],convfloat,[it,opt_iter], fixnum,[tmp],convfloat,[subiter],fixnum, [est_needed_step_err,estimated_step_error, min_value,est_answer,last_min_pole_est], convfloat,[repeat_it],fixnum],[found_h], boolean),Digits:32,max_terms:20, glob_html_log:true,term:1, while term <= 20 do (array_y_init[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_norms[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_fact_1[term]:c(0.0),term:1+term), term:1, while term <= 2 do (array_1st_rel_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_last_rel_error[term]:c(0.0),term:1+term), term:1, while term <= 2 do (array_est_rel_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_max_est_error[term]:c(0.0),term:1+term),term:1, while term <= 2 do (array_type_pole[term]:0,term:1+term), term:1, while term <= 2 do (array_type_real_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_type_complex_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_est_digits[term]:0,term:1+term), term:1, while term <= 20 do (array_y[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_x[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp0[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp1[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp2[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp3[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp4[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_tmp5[term]:c(0.0),term:1+term), term:1, while term <= 20 do (array_m1[term]:c(0.0),term:1+term), ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_higher[ord,term]:c(0.0),term:1+term), ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_higher_work[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_higher_work2[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 20 do (array_y_set_initial[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_rad_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_ord_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_rad_test_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_ord_test_poles[ord,term]:c(0.0), term:1+term),ord:1+ord),ord:1, while ord <= 20 do (term:1, while term <= 20 do (array_fact_2[ord,term]:c(0.0),term:1+term), ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x), zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1), zero_ats_ar(array_tmp2),zero_ats_ar(array_tmp3), zero_ats_ar(array_tmp4),zero_ats_ar(array_tmp5), zero_ats_ar(array_m1),zero_ats_ar(array_const_1), array_const_1[1]:c(1),zero_ats_ar(array_const_0D0), array_const_0D0[1]:c(0.0),zero_ats_ar(array_const_2D0), array_const_2D0[1]:c(2.0),zero_ats_ar(array_m1), array_m1[1]:glob__m1,iiif:0, while iiif <= ats_max_terms do (jjjf:0, while jjjf <= ats_max_terms do (array_fact_1[iiif]:0, array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf), iiif:1+iiif),array_y_set_initial[1,1]:true, array_y_set_initial[1,2]:false, array_y_set_initial[1,3]:false, array_y_set_initial[1,4]:false, array_y_set_initial[1,5]:false, array_y_set_initial[1,6]:false, array_y_set_initial[1,7]:false, array_y_set_initial[1,8]:false, array_y_set_initial[1,9]:false, array_y_set_initial[1,10]:false, array_y_set_initial[1,11]:false, array_y_set_initial[1,12]:false, array_y_set_initial[1,13]:false, array_y_set_initial[1,14]:false, array_y_set_initial[1,15]:false, array_y_set_initial[1,16]:false, array_y_set_initial[1,17]:false, array_y_set_initial[1,18]:false, array_y_set_initial[1,19]:false, array_y_set_initial[1,20]:false,glob_log_10:log(10.0), glob_orig_start_sec:elapsed_time_seconds(), glob_display_flag:true,glob_no_eqs:1,glob_iter:-1, opt_iter:-1,glob_max_iter:50000,glob_max_hours:0.0, glob_max_minutes:15.0, omniout_str(always, "##############ECHO OF PROBLEM#################"), omniout_str(always, "##############temp/sing3_backpostode.ode#################"), omniout_str(always, "diff ( y , x , 1 ) = neg ( 2.0 ) / x / x / x ; "), omniout_str(always,"!"), omniout_str(always,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(always,"Digits:32,"), omniout_str(always,"max_terms:20,"),omniout_str(always,"!"), omniout_str(always,"/* END FIRST INPUT BLOCK */"), omniout_str(always,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(always,"x_start:c(-0.7),"), omniout_str(always,"x_end:c(-2.0),"), omniout_str(always, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(always,"glob_look_poles:true,"), omniout_str(always,""),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:1,"), omniout_str(always,""), omniout_str(always,"array_given_rad_poles[1,1]:c(0.0),"), omniout_str(always,""), omniout_str(always,"array_given_rad_poles[1,2]:c(0.0),"), omniout_str(always,""), omniout_str(always,"array_given_ord_poles[1,1]:c(2.0),"), omniout_str(always,""), omniout_str(always,"array_given_ord_poles[1,2]:c(0.0),"), omniout_str(always,"/* END SECOND INPUT BLOCK */"), omniout_str(always,"/* BEGIN OVERRIDE BLOCK */"), omniout_str(always,"glob_desired_digits_correct:8,"), omniout_str(always,"glob_max_minutes:(3.0),"), omniout_str(always,"glob_subiter_method:3,"), omniout_str(always,"glob_max_iter:100000,"), omniout_str(always,"glob_upper_ratio_limit:c(1.000001),"), omniout_str(always,"glob_lower_ratio_limit:c(0.999999),"), omniout_str(always,"glob_look_poles:false,"), omniout_str(always,"glob_h:c(0.001),"), omniout_str(always,"glob_display_interval:c(0.01),"), omniout_str(always,"/* END OVERRIDE BLOCK */"), omniout_str(always,"!"), omniout_str(always,"/* BEGIN USER DEF BLOCK */"), omniout_str(always,"exact_soln_y (x) := (block("), omniout_str(always," (c(1.0)/c(x)/c(x)) "), omniout_str(always,"));"),omniout_str(always,""), omniout_str(always,""), omniout_str(always,"/* END USER DEF BLOCK */"), omniout_str(always, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false, glob_small_float:glob__0,glob_smallish_float:glob__0, glob_large_float:c(1.0E+100),glob_larger_float:c(1.1E+100), glob_almost_1:c(0.99),x_start:c(-0.7),x_end:c(-2.0), array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:true,glob_type_given_pole:1, array_given_rad_poles[1,1]:c(0.0), array_given_rad_poles[1,2]:c(0.0), array_given_ord_poles[1,1]:c(2.0), array_given_ord_poles[1,2]:c(0.0), glob_desired_digits_correct:8,glob_max_minutes:3.0, glob_subiter_method:3,glob_max_iter:100000, glob_upper_ratio_limit:c(1.000001), glob_lower_ratio_limit:c(0.999999),glob_look_poles:false, glob_h:c(0.001),glob_display_interval:c(0.01), glob_last_good_h:glob_h, glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes, glob_check_sign:c(my_check_sign(x_start,x_end)), glob__pi:3.141592654,glob_prec:1.0E-16, if glob_optimize then (omniout_str(always,"START of Optimize"), found_h:false,glob_min_pole_est:glob_larger_float, last_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float, glob_min_h:abs(glob_min_h)*glob_check_sign, glob_max_h:abs(glob_max_h)*glob_check_sign, glob_h:abs(glob_min_h)*glob_check_sign, glob_display_interval :c(abs(c(glob_display_interval)) *glob_check_sign), display_max:c(x_end)-c(x_start)/glob__10, if glob_display_interval > display_max then glob_display_interval:c(display_max), chk_data(),min_value:glob_larger_float, est_answer:est_size_answer(),opt_iter:1, est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(always,"est_needed_step_err",32, est_needed_step_err,16,""), estimated_step_error:glob_small_float, while opt_iter <= 100 and not found_h do (omniout_int(always,"opt_iter",32,opt_iter, 4,""),array_x[1]:c(x_start), array_x[2]:c(glob_h), glob_next_display:c(x_start),order_diff:1, term_no:1, while term_no <= order_diff do ( array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h, c(term_no-1)) /c( factorial_1( term_no-1)), term_no:1+term_no), r_order:1+r_order),atomall(), if glob_check_sign*glob_min_h >= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR MIN H"), glob_h:glob_check_sign*abs(glob_min_h), glob_h_reason:1,found_h:true), if glob_check_sign*glob_display_interval <= glob_check_sign*glob_h then ( omniout_str(always, "SETTING H FOR DISPLAY INTERVAL"), glob_h_reason:2, glob_h:glob_display_interval, found_h:true), if glob_look_poles then check_for_pole(), if not found_h then (est_answer:est_size_answer(), est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h, est_answer), omniout_float(always, "est_needed_step_err", 32, est_needed_step_err, 16,""), estimated_step_error :test_suggested_h(), omniout_float(always, "estimated_step_error", 32, estimated_step_error, 32,""), if estimated_step_error < est_needed_step_err then ( omniout_str(always, "Double H and LOOP"), glob_h:glob_h*glob__2) else ( omniout_str(always, "Found H for OPTIMAL"), found_h:true,glob_h_reason:3, glob_h:glob_h/glob__2)), opt_iter:1+opt_iter), if not found_h and opt_iter = 1 then (omniout_str(always, "Beginning glob_h too large."), found_h:false), if glob_check_sign*glob_max_h <= glob_check_sign*glob_h then (omniout_str(always, "SETTING H FOR MAX H"), glob_h:glob_check_sign*abs(glob_max_h), glob_h_reason:1,found_h:true)) else (found_h:true,glob_h:glob_h*glob_check_sign), if glob_html_log then html_log_file:openw("entry.html"), if found_h then (omniout_str(always,"START of Soultion"), array_x[1]:c(x_start),array_x[2]:c(glob_h), glob_next_display:c(x_start), glob_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float,order_diff:1, term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < ats_max_terms then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,c(term_no-1)) /c(factorial_1(term_no-1)), term_no:1+term_no), r_order:1+r_order),current_iter:1, glob_clock_start_sec:elapsed_time_seconds(), glob_clock_sec:elapsed_time_seconds(),glob_iter:0, omniout_str(debugl," "), glob_reached_optimal_h:true, glob_optimal_clock_start_sec :elapsed_time_seconds(), while glob_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and glob_clock_sec-glob_orig_start_sec < glob_max_sec do (if reached_interval() then (omniout_str(info," "), omniout_str(info, "TOP MAIN SOLVE Loop")), glob_iter:1+glob_iter, glob_clock_sec:elapsed_time_seconds(), track_estimated_error(),atomall(), track_estimated_error(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display :glob_display_interval +glob_next_display, array_x[1]:glob_h+array_x[1], array_x[2]:glob_h,order_diff:2,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[2,iii] :array_y_higher[2,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:2, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:2,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)),ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,c(calc_term-1)) /c( factorial_3(iii-calc_term,iii-1)), iii:iii-1),temp_sum:glob__0,ord:1, calc_term:1,iii:ats_max_terms, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,c(calc_term-1)) /c(factorial_1(calc_term-1)), term_no:ats_max_terms, while term_no >= 1 do ( array_y[term_no] :array_y_higher_work2[1,term_no], ord:1, while ord <= order_diff do ( array_y_higher[ord,term_no] :array_y_higher_work2[ ord,term_no],ord:1+ord), term_no:term_no-1)), omniout_str(always,"Finished!"), if glob_iter >= glob_max_iter then omniout_str(always, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds()-glob_orig_start_sec >= glob_max_sec then omniout_str(always, "Maximum Time Reached before Solution Completed!"), glob_clock_sec:elapsed_time_seconds(), omniout_str(info, "diff ( y , x , 1 ) = neg ( 2.0 ) / x / x / x ; "), 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, "2015-04-24T23:05:24-05:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "sing3_back"), logitem_str(html_log_file, "diff ( y , x , 1 ) = neg ( 2.0 ) / x / x / 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, "sing3_back diffeq.max"), logitem_str(html_log_file, "sing3_back maxima results"), logitem_str(html_log_file, "Poor Accuracy"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i253) main():=(glob_iolevel:2,compile(all),main_prog()) (%i254) main() warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable secs in translation. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable sec_temp in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable years_int in translation. warning: encountered undefined variable days_int in translation. warning: encountered undefined variable hours_int in translation. warning: encountered undefined variable minutes_int in translation. warning: encountered undefined variable sec_int in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable iii in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable iii_ats in translation. warning: encountered undefined variable ma_ats in translation. warning: encountered undefined variable ret_ats in translation. warning: encountered undefined variable lll_ats in translation. warning: encountered undefined variable ats_max_terms in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable iii_att in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable ma_att in translation. warning: encountered undefined variable lll_att in translation. warning: encountered undefined variable ret_att in translation. warning: encountered undefined variable al_att in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_h_reason in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable errflag in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable sub1 in translation. warning: encountered undefined variable sub2 in translation. warning: encountered undefined variable rrr in translation. warning: encountered undefined variable ms2 in translation. warning: encountered undefined variable sec_left in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable glob_small_float in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ret in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob__m2 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temp in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob__4 in translation. warning: encountered undefined variable glob__3 in translation. warning: encountered undefined variable glob__2 in translation. warning: encountered undefined variable rm0 in translation. warning: encountered undefined variable glob__2 in translation. warning: encountered undefined variable rm1 in translation. warning: encountered undefined variable rm2 in translation. warning: encountered undefined variable rm3 in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable rm4 in translation. warning: encountered undefined variable glob__3 in translation. warning: encountered undefined variable glob__8 in translation. warning: encountered undefined variable glob__5 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable nr1 in translation. warning: encountered undefined variable dr2 in translation. warning: encountered undefined variable nr2 in translation. warning: encountered undefined variable dr1 in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable ds1 in translation. warning: encountered undefined variable ds2 in translation. warning: encountered undefined variable rcs in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable ord_no in translation. warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any. warning: encountered undefined variable rad_c in translation. warning: encountered undefined variable glob_six_term_ord_save in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_fact_2 in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob_log_10 in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob__10 in translation. warning: encountered undefined variable ats_max_terms in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_x in translation. warning: encountered undefined variable array_given_rad_poles in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable rad_given in translation. warning: encountered undefined variable array_given_ord_poles in translation. warning: variable glob_least_given_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable array_rad_test_poles in translation. warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable array_ord_test_poles in translation. warning: encountered undefined variable glob_large_float in translation. warning: variable glob_least_3_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob__small in translation. warning: variable glob_least_6_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob_estimated_size_answer in translation. warning: encountered undefined variable array_y in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob__1 in translation. warning: encountered undefined variable glob__small in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0_5 in translation. warning: encountered undefined variable glob__0_25 in translation. warning: encountered undefined variable glob__0_125 in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable glob__0_5 in translation. warning: encountered undefined variable glob__0_25 in translation. warning: encountered undefined variable glob__0_125 in translation. warning: encountered undefined variable glob_prec in translation. warning: encountered undefined variable array_max_est_error in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_next_display in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob__10 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable always in translation. warning: encountered undefined variable ind_var in translation. warning: encountered undefined variable closed_form_val_y in translation. warning: encountered undefined variable term_no in translation. warning: encountered undefined variable numeric_val in translation. warning: encountered undefined variable abserr in translation. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable relerr in translation. warning: variable glob_good_digits (declared type fixnum) assigned type any. warning: encountered undefined variable glob_prec in translation. warning: encountered undefined variable glob__m1 in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_min_good_digits in translation. warning: encountered undefined variable glob_apfp_est_good_digits in translation. warning: encountered undefined variable glob_min_apfp_est_good_digits in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable est_rel_err in translation. warning: variable glob_est_digits (declared type fixnum) assigned type any. warning: encountered undefined variable glob_est_digits in translation. warning: encountered undefined variable array_est_digits in translation. warning: encountered undefined variable array_1st_rel_error in translation. warning: encountered undefined variable array_last_rel_error in translation. warning: encountered undefined variable array_est_rel_error in translation. warning: encountered undefined variable info in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable clock_sec1 in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_clock_start_sec in translation. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_optimal_clock_start_sec in translation. warning: encountered undefined variable opt_clock_sec in translation. warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_optimal_expect_sec in translation. warning: encountered undefined variable total_clock_sec in translation. warning: variable glob_total_exp_sec (declared type convfloat) assigned type any. warning: encountered undefined variable percent_done in translation. warning: variable glob_percent_done (declared type convfloat) assigned type any. warning: encountered undefined variable info in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable expect_sec in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob__100 in translation. warning: encountered undefined variable left_sec in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ats_max_terms in translation. warning: encountered undefined variable last_no in translation. warning: encountered undefined variable found_sing in translation. warning: encountered undefined variable array_y_higher in translation. warning: variable tmp_rad (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_rad in translation. warning: encountered undefined variable prev_tmp_rad in translation. warning: encountered undefined variable glob__0 in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable cnt in translation. warning: encountered undefined variable tmp_ratio in translation. warning: encountered undefined variable glob_upper_ratio_limit in translation. warning: encountered undefined variable glob_lower_ratio_limit in translation. warning: variable tmp_ord (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_ord in translation. warning: encountered undefined variable glob_min_pole_est in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_ratio_of_radius in translation. warning: encountered undefined variable always in translation. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable h_new in translation. warning: variable ratio (declared type convfloat) assigned type any. warning: encountered undefined variable term in translation. warning: encountered undefined variable ratio in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_const_2D0 in translation. warning: encountered undefined variable array_tmp1 in translation. warning: encountered undefined variable array_tmp2 in translation. warning: encountered undefined variable array_tmp3 in translation. warning: encountered undefined variable array_tmp4 in translation. warning: encountered undefined variable array_const_0D0 in translation. warning: encountered undefined variable array_tmp5 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/sing3_backpostode.ode#################" "diff ( y , x , 1 ) = neg ( 2.0 ) / x / x / x ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:20," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:c(-0.7)," "x_end:c(-2.0)," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "" "" "" "" "" "" "" "" "glob_type_given_pole:1," "" "array_given_rad_poles[1,1]:c(0.0)," "" "array_given_rad_poles[1,2]:c(0.0)," "" "array_given_ord_poles[1,1]:c(2.0)," "" "array_given_ord_poles[1,2]:c(0.0)," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:8," "glob_max_minutes:(3.0)," "glob_subiter_method:3," "glob_max_iter:100000," "glob_upper_ratio_limit:c(1.000001)," "glob_lower_ratio_limit:c(0.999999)," "glob_look_poles:false," "glob_h:c(0.001)," "glob_display_interval:c(0.01)," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" " (c(1.0)/c(x)/c(x)) " "));" "" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = -0.701 " " y[1] (closed_form) = 2.03499789377718 " " y[1] (numeric) = 2.03499789377718 " " 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] = -0.702 " " y[1] (closed_form) = 2.0292043084065883 " " y[1] (numeric) = 2.029204308406588 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.18848938970950200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 15 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.703 " " y[1] (closed_form) = 2.0234354291403034 " " y[1] (numeric) = 2.0234354291403034 " " 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] = -0.704 " " y[1] (closed_form) = 2.0176911157024797 " " y[1] (numeric) = 2.0176911157024797 " " 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] = -0.705 " " y[1] (closed_form) = 2.011971228811428 " " y[1] (numeric) = 2.0119712288114284 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.207234395257273700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.706 " " y[1] (closed_form) = 2.0062756301711757 " " y[1] (numeric) = 2.0062756301711757 " " 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] = -0.707 " " y[1] (closed_form) = 2.000604182463104 " " y[1] (numeric) = 2.0006041824631042 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.219775474543439800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.708 " " y[1] (closed_form) = 1.9949567493376745 " " y[1] (numeric) = 1.9949567493376748 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.113029668431408700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.709 " " y[1] (closed_form) = 1.9893331954062319 " " y[1] (numeric) = 1.989333195406232 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.116176040483196400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.71 " " y[1] (closed_form) = 1.9837333862328907 " " y[1] (numeric) = 1.9837333862328905 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.119326853427082500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.711 " " y[1] (closed_form) = 1.9781571883264988 " " y[1] (numeric) = 1.978157188326499 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.122482107263067500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.712 " " y[1] (closed_form) = 1.9726044691326856 " " y[1] (numeric) = 1.9726044691326854 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.125641801991150600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.713 " " y[1] (closed_form) = 1.9670750970259792 " " y[1] (numeric) = 1.9670750970259792 " " 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] = -0.714 " " y[1] (closed_form) = 1.9615689413020114 " " y[1] (numeric) = 1.961568941302011 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.263949028247225000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.715 " " y[1] (closed_form) = 1.9560858721697887 " " y[1] (numeric) = 1.9560858721697882 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.270295063055982300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.716 " " y[1] (closed_form) = 1.9506257607440467 " " y[1] (numeric) = 1.9506257607440467 " " 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] = -0.717 " " y[1] (closed_form) = 1.9451884790376766 " " y[1] (numeric) = 1.9451884790376763 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.14150688901304390000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.718 " " y[1] (closed_form) = 1.9397738999542216 " " y[1] (numeric) = 1.9397738999542213 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.144693229093718400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.719 " " y[1] (closed_form) = 1.934381897280453 " " y[1] (numeric) = 1.9343818972804525 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.295768020132981600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.72 " " y[1] (closed_form) = 1.9290123456790123 " " y[1] (numeric) = 1.9290123456790123 " " 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] = -0.721 " " y[1] (closed_form) = 1.9236651206811315 " " y[1] (numeric) = 1.9236651206811313 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.15427889468833200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.722 " " y[1] (closed_form) = 1.918340098679415 " " y[1] (numeric) = 1.9183400986794146 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.314965996674799900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.723 " " y[1] (closed_form) = 1.9130371569206988 " " y[1] (numeric) = 1.9130371569206988 " " 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] = -0.724 " " y[1] (closed_form) = 1.9077561734989774 " " y[1] (numeric) = 1.9077561734989772 " " absolute error = 2.2204460492503130000000000000000E-16 " " relative error = 1.163904528311832100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.725 " " y[1] (closed_form) = 1.902497027348395 " " y[1] (numeric) = 1.9024970273483945 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.334243909274391300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.726 " " y[1] (closed_form) = 1.8972595982363079 " " y[1] (numeric) = 1.8972595982363072 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.51103146556397300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.727 " " y[1] (closed_form) = 1.892043766756413 " " y[1] (numeric) = 1.8920437667564123 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.52071038989265600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.728 " " y[1] (closed_form) = 1.8868494143219419 " " y[1] (numeric) = 1.8868494143219414 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.35360175793175600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.729 " " y[1] (closed_form) = 1.881676423158921 " " y[1] (numeric) = 1.8816764231589203 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.54010820657890630000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.73 " " y[1] (closed_form) = 1.8765246762994932 " " y[1] (numeric) = 1.8765246762994927 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.36655139929098400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.731 " " y[1] (closed_form) = 1.8713940575753099 " " y[1] (numeric) = 1.871394057575309 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.74607908529378560000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.732 " " y[1] (closed_form) = 1.8662844516109767 " " y[1] (numeric) = 1.866284451610976 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.56930485168049900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.733 " " y[1] (closed_form) = 1.861195743817573 " " y[1] (numeric) = 1.8611957438175724 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.579063712066954400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.734 " " y[1] (closed_form) = 1.8561278203862235 " " y[1] (numeric) = 1.8561278203862224 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 5.98139315854950700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.735 " " y[1] (closed_form) = 1.8510805682817344 " " y[1] (numeric) = 1.8510805682817337 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.598621400868751700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.736 " " y[1] (closed_form) = 1.846053875236295 " " y[1] (numeric) = 1.846053875236294 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.8112269723787900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.737 " " y[1] (closed_form) = 1.8410476297432292 " " y[1] (numeric) = 1.841047629743228 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.03038730062621700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.738 " " y[1] (closed_form) = 1.836061721050815 " " y[1] (numeric) = 1.8360617210508139 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.04676309023943600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.739 " " y[1] (closed_form) = 1.8310960391561575 " " y[1] (numeric) = 1.8310960391561568 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.63789665058789100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.74 " " y[1] (closed_form) = 1.8261504747991233 " " y[1] (numeric) = 1.8261504747991226 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.64774876970841500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.741 " " y[1] (closed_form) = 1.8212249194563281 " " y[1] (numeric) = 1.821224919456327 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.09602368584205500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.742 " " y[1] (closed_form) = 1.8163192653351834 " " y[1] (numeric) = 1.8163192653351827 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.667492975978348700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.743 " " y[1] (closed_form) = 1.8114334053680015 " " y[1] (numeric) = 1.811433405368001 " " absolute error = 4.4408920985006260000000000000000E-16 " " relative error = 2.451590042085172400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.744 " " y[1] (closed_form) = 1.8065672332061509 " " y[1] (numeric) = 1.8065672332061502 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 3.68729047295346400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.745 " " y[1] (closed_form) = 1.8017206432142698 " " y[1] (numeric) = 1.8017206432142687 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.16201534242577500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.746 " " y[1] (closed_form) = 1.7968935304645328 " " y[1] (numeric) = 1.796893530464532 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 4.94285501417834900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.747 " " y[1] (closed_form) = 1.792085790730974 " " y[1] (numeric) = 1.7920857907309728 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.1951443974805900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.748 " " y[1] (closed_form) = 1.7872973204838571 " " y[1] (numeric) = 1.787297320483856 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.21174223169873600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.749 " " y[1] (closed_form) = 1.7825280168841053 " " y[1] (numeric) = 1.7825280168841042 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.22836227037737400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.75 " " y[1] (closed_form) = 1.7777777777777777 " " y[1] (numeric) = 1.7777777777777766 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.24500451351650600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.751 " " y[1] (closed_form) = 1.7730465016906 " " y[1] (numeric) = 1.7730465016905985 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.76633654556258100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.752 " " y[1] (closed_form) = 1.768334087822544 " " y[1] (numeric) = 1.7683340878225429 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.27835561317624500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.753 " " y[1] (closed_form) = 1.7636404360424611 " " y[1] (numeric) = 1.76364043604246 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 6.29506446969685500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.754 " " y[1] (closed_form) = 1.7589654468827616 " " y[1] (numeric) = 1.75896544688276 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.83651374294913600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.755 " " y[1] (closed_form) = 1.7543090215341435 " " y[1] (numeric) = 1.7543090215341417 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.01256780737912760000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.756 " " y[1] (closed_form) = 1.7496710618403741 " " y[1] (numeric) = 1.7496710618403724 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.01525188256346140000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.757 " " y[1] (closed_form) = 1.7450514702931164 " " y[1] (numeric) = 1.7450514702931146 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.01793951046147410000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.758 " " y[1] (closed_form) = 1.7404501500268028 " " y[1] (numeric) = 1.7404501500268013 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.93051854689019900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.759 " " y[1] (closed_form) = 1.7358670048135592 " " y[1] (numeric) = 1.7358670048135576 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 8.95409746348718700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.76 " " y[1] (closed_form) = 1.731301939058172 " " y[1] (numeric) = 1.73130193905817 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.15427667424228260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.761 " " y[1] (closed_form) = 1.7267548577931036 " " y[1] (numeric) = 1.726754857793102 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.00134855541523400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.762 " " y[1] (closed_form) = 1.7222256666735556 " " y[1] (numeric) = 1.7222256666735538 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.03143094065671920000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.763 " " y[1] (closed_form) = 1.7177142719725713 " " y[1] (numeric) = 1.7177142719725698 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.04872399232203900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.764 " " y[1] (closed_form) = 1.7132205805761902 " " y[1] (numeric) = 1.7132205805761886 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.07245834014247600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.765 " " y[1] (closed_form) = 1.7087444999786408 " " y[1] (numeric) = 1.708744499978639 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.03956843133801160000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.766 " " y[1] (closed_form) = 1.7042859382775806 " " y[1] (numeric) = 1.7042859382775788 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.04228803365913320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.767 " " y[1] (closed_form) = 1.6998448041693792 " " y[1] (numeric) = 1.6998448041693777 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.14384790107192300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.768 " " y[1] (closed_form) = 1.6954210069444442 " " y[1] (numeric) = 1.6954210069444429 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.85803422331810200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.769 " " y[1] (closed_form) = 1.6910144564825882 " " y[1] (numeric) = 1.6910144564825869 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.87851117678428900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.77 " " y[1] (closed_form) = 1.6866250632484399 " " y[1] (numeric) = 1.6866250632484383 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.21551723820357300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.771 " " y[1] (closed_form) = 1.6822527382868948 " " y[1] (numeric) = 1.6822527382868933 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.23946918973683800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.772 " " y[1] (closed_form) = 1.6778973932186096 " " y[1] (numeric) = 1.6778973932186083 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.94010190929839300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.773 " " y[1] (closed_form) = 1.6735589402355364 " " y[1] (numeric) = 1.673558940235535 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 7.96068544417494300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.774 " " y[1] (closed_form) = 1.6692372920964953 " " y[1] (numeric) = 1.6692372920964937 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.31151156180476300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.775 " " y[1] (closed_form) = 1.6649323621227887 " " y[1] (numeric) = 1.6649323621227872 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.33558785831678500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.776 " " y[1] (closed_form) = 1.6606440641938567 " " y[1] (numeric) = 1.6606440641938554 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.0225959209201400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.777 " " y[1] (closed_form) = 1.6563723127429693 " " y[1] (numeric) = 1.6563723127429675 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.07243813829427370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.778 " " y[1] (closed_form) = 1.6521170227529558 " " y[1] (numeric) = 1.652117022752954 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.0752003731795410000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.779 " " y[1] (closed_form) = 1.647878109751978 " " y[1] (numeric) = 1.6478781097519761 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.07796616077848730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.78 " " y[1] (closed_form) = 1.6436554898093356 " " y[1] (numeric) = 1.6436554898093343 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.10551625818334500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.781 " " y[1] (closed_form) = 1.6394490795313141 " " y[1] (numeric) = 1.6394490795313126 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.48069844852739400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.782 " " y[1] (closed_form) = 1.6352587960570641 " " y[1] (numeric) = 1.6352587960570624 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.08628483985739860000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.783 " " y[1] (closed_form) = 1.6310845570545223 " " y[1] (numeric) = 1.6310845570545207 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.52931733522177600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.784 " " y[1] (closed_form) = 1.626926280716368 " " y[1] (numeric) = 1.6269262807163667 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.18886292108800500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.785 " " y[1] (closed_form) = 1.6227838857560142 " " y[1] (numeric) = 1.6227838857560128 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.20976620019564600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.786 " " y[1] (closed_form) = 1.618657291403635 " " y[1] (numeric) = 1.6186572914036332 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.09742614995411690000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.787 " " y[1] (closed_form) = 1.614546417402227 " " y[1] (numeric) = 1.6145464174022255 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.62692814354682100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.788 " " y[1] (closed_form) = 1.6104511840037106 " " y[1] (numeric) = 1.6104511840037088 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.1030181212845490000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.789 " " y[1] (closed_form) = 1.606371511965058 " " y[1] (numeric) = 1.6063715119650566 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.29364577015212700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.79 " " y[1] (closed_form) = 1.6023073225444637 " " y[1] (numeric) = 1.6023073225444624 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.31468227602272300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.791 " " y[1] (closed_form) = 1.5982585374975427 " " y[1] (numeric) = 1.598258537497541 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.72503633178689700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.792 " " y[1] (closed_form) = 1.5942250790735637 " " y[1] (numeric) = 1.5942250790735624 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.35683522382169000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.793 " " y[1] (closed_form) = 1.59020687001172 " " y[1] (numeric) = 1.5902068700117182 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.11706022210000780000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.794 " " y[1] (closed_form) = 1.5862038335374247 " " y[1] (numeric) = 1.5862038335374233 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.39909475303102300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.795 " " y[1] (closed_form) = 1.5822158933586485 " " y[1] (numeric) = 1.5822158933586472 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.42026448566457600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.796 " " y[1] (closed_form) = 1.578242973662281 " " y[1] (numeric) = 1.5782429736622796 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.44146086365072000000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.797 " " y[1] (closed_form) = 1.5742849991105288 " " y[1] (numeric) = 1.5742849991105272 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.87313120148769700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.798 " " y[1] (closed_form) = 1.5703418948373438 " " y[1] (numeric) = 1.5703418948373422 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.89792248162757600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.799 " " y[1] (closed_form) = 1.5664135864448834 " " y[1] (numeric) = 1.5664135864448816 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.13402798262995930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8 " " y[1] (closed_form) = 1.5625 " " y[1] (numeric) = 1.5624999999999982 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.13686837721616030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.801 " " y[1] (closed_form) = 1.5586010620307635 " " y[1] (numeric) = 1.558601062030762 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 9.97248283951535200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.802 " " y[1] (closed_form) = 1.5547166995230124 " " y[1] (numeric) = 1.5547166995230113 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.14099890330999400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.803 " " y[1] (closed_form) = 1.5508468399169364 " " y[1] (numeric) = 1.550846839916935 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.59058157942627200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.804 " " y[1] (closed_form) = 1.5469914111036853 " " y[1] (numeric) = 1.546991411103684 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.61199112023314300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.805 " " y[1] (closed_form) = 1.543150341422013 " " y[1] (numeric) = 1.5431503414220116 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.63342730639260600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.806 " " y[1] (closed_form) = 1.539323559654945 " " y[1] (numeric) = 1.5393235596549437 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.6548901379046600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.807 " " y[1] (closed_form) = 1.5355109950264796 " " y[1] (numeric) = 1.5355109950264783 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.67637961476930400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.808 " " y[1] (closed_form) = 1.5317125771983138 " " y[1] (numeric) = 1.5317125771983122 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.01475450264842950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.809 " " y[1] (closed_form) = 1.5279282362665987 " " y[1] (numeric) = 1.5279282362665974 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.71943850455636700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.81 " " y[1] (closed_form) = 1.5241579027587255 " " y[1] (numeric) = 1.5241579027587242 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.74100791747878500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.811 " " y[1] (closed_form) = 1.5204015076301345 " " y[1] (numeric) = 1.5204015076301334 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.30216997979482800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.812 " " y[1] (closed_form) = 1.516658982261156 " " y[1] (numeric) = 1.516658982261155 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.32018889948449500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8130000000000001 " " y[1] (closed_form) = 1.512930258453876 " " y[1] (numeric) = 1.5129302584538744 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.02735220330885130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8140000000000001 " " y[1] (closed_form) = 1.5092152684290274 " " y[1] (numeric) = 1.509215268429026 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.82755202269436400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8150000000000001 " " y[1] (closed_form) = 1.505513944822914 " " y[1] (numeric) = 1.5055139448229125 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.03241304394430240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8160000000000001 " " y[1] (closed_form) = 1.5018262206843518 " " y[1] (numeric) = 1.5018262206843507 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.39248662284808500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8170000000000001 " " y[1] (closed_form) = 1.4981520294716466 " " y[1] (numeric) = 1.4981520294716453 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.89273987780825300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8180000000000001 " " y[1] (closed_form) = 1.494491305049587 " " y[1] (numeric) = 1.4944913050495858 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.42876871129283400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8190000000000001 " " y[1] (closed_form) = 1.4908439816864723 " " y[1] (numeric) = 1.4908439816864711 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.44694306220594800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8200000000000001 " " y[1] (closed_form) = 1.48720999405116 " " y[1] (numeric) = 1.4872099940511587 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 8.95816754109546300000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8210000000000001 " " y[1] (closed_form) = 1.4835892772101398 " " y[1] (numeric) = 1.4835892772101387 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.48335837741365400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8220000000000001 " " y[1] (closed_form) = 1.4799817666246349 " " y[1] (numeric) = 1.4799817666246338 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.50159934170824500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8230000000000001 " " y[1] (closed_form) = 1.476387398147724 " " y[1] (numeric) = 1.476387398147723 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.51986251046332900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8240000000000001 " " y[1] (closed_form) = 1.472806108021491 " " y[1] (numeric) = 1.4728061080214898 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.53814788367890400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8250000000000001 " " y[1] (closed_form) = 1.469237832874196 " " y[1] (numeric) = 1.469237832874195 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 6.0451643690839800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8260000000000001 " " y[1] (closed_form) = 1.465682509717475 " " y[1] (numeric) = 1.4656825097174735 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.06046993408881450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8270000000000001 " " y[1] (closed_form) = 1.4621400759435552 " " y[1] (numeric) = 1.4621400759435539 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.11176467610630600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8280000000000001 " " y[1] (closed_form) = 1.4586104693225042 " " y[1] (numeric) = 1.458610469322503 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.61151142114613500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8290000000000001 " " y[1] (closed_form) = 1.4550936279994933 " " y[1] (numeric) = 1.4550936279994922 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.62990781666417400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8300000000000001 " " y[1] (closed_form) = 1.4515894904920885 " " y[1] (numeric) = 1.4515894904920874 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.64832641664270600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8310000000000001 " " y[1] (closed_form) = 1.448097995687564 " " y[1] (numeric) = 1.4480979956875628 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.66676722108172700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8320000000000001 " " y[1] (closed_form) = 1.4446190828402365 " " y[1] (numeric) = 1.4446190828402352 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.22227627597749200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8330000000000001 " " y[1] (closed_form) = 1.4411526915688242 " " y[1] (numeric) = 1.4411526915688229 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.24445853200950400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8340000000000001 " " y[1] (closed_form) = 1.437698761853826 " " y[1] (numeric) = 1.4376987618538248 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.72222286116175600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8350000000000001 " " y[1] (closed_form) = 1.434257234034924 " " y[1] (numeric) = 1.4342572340349227 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.28890298013129800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8360000000000001 " " y[1] (closed_form) = 1.430828048808406 " " y[1] (numeric) = 1.4308280488084049 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.75930431018423600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8370000000000001 " " y[1] (closed_form) = 1.427411147224613 " " y[1] (numeric) = 1.4274111472246116 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.33345400966345800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8380000000000001 " " y[1] (closed_form) = 1.4240064706854025 " " y[1] (numeric) = 1.4240064706854012 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.35576949245842200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8390000000000001 " " y[1] (closed_form) = 1.4206139609416397 " " y[1] (numeric) = 1.4206139609416382 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09411302240403070000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8400000000000001 " " y[1] (closed_form) = 1.417233560090703 " " y[1] (numeric) = 1.4172335600907013 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.09672271264571460000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8410000000000001 " " y[1] (closed_form) = 1.4138652105740146 " " y[1] (numeric) = 1.4138652105740135 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.85239651079905700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8420000000000001 " " y[1] (closed_form) = 1.4105088551745928 " " y[1] (numeric) = 1.4105088551745912 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.10195141900248930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8430000000000001 " " y[1] (closed_form) = 1.4071644370146161 " " y[1] (numeric) = 1.4071644370146146 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.10457043511758020000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8440000000000001 " " y[1] (closed_form) = 1.4038318995530195 " " y[1] (numeric) = 1.4038318995530183 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.90851828469385700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8450000000000001 " " y[1] (closed_form) = 1.4005111865831024 " " y[1] (numeric) = 1.4005111865831013 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.92726995157977600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8460000000000001 " " y[1] (closed_form) = 1.3972022422301582 " " y[1] (numeric) = 1.3972022422301567 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.1124461352096661000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8470000000000001 " " y[1] (closed_form) = 1.3939050109491238 " " y[1] (numeric) = 1.3939050109491222 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.11507758582263260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8480000000000001 " " y[1] (closed_form) = 1.3906194375222496 " " y[1] (numeric) = 1.3906194375222483 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.58038981480058500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8490000000000001 " " y[1] (closed_form) = 1.387345467056788 " " y[1] (numeric) = 1.3873454670567866 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.60299839647405200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8500000000000001 " " y[1] (closed_form) = 1.3840830449826986 " " y[1] (numeric) = 1.3840830449826973 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.6256336235001090000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8510000000000001 " " y[1] (closed_form) = 1.3808321170503768 " " y[1] (numeric) = 1.3808321170503752 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.12563447451918830000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8520000000000001 " " y[1] (closed_form) = 1.3775926293283958 " " y[1] (numeric) = 1.3775926293283944 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.67098401360999700000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8530000000000001 " " y[1] (closed_form) = 1.3743645282012726 " " y[1] (numeric) = 1.3743645282012713 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.69369917669382900000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8540000000000001 " " y[1] (closed_form) = 1.3711477603672482 " " y[1] (numeric) = 1.3711477603672466 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.13358478159852910000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8550000000000001 " " y[1] (closed_form) = 1.3679422728360862 " " y[1] (numeric) = 1.3679422728360846 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.13624110120724710000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8560000000000001 " " y[1] (closed_form) = 1.3647480129268927 " " y[1] (numeric) = 1.3647480129268914 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.76200453806086800000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8570000000000001 " " y[1] (closed_form) = 1.3615649282659512 " " y[1] (numeric) = 1.3615649282659499 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.78482628255506200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8580000000000001 " " y[1] (closed_form) = 1.3583929667845749 " " y[1] (numeric) = 1.3583929667845733 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.14422871178021550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8590000000000001 " " y[1] (closed_form) = 1.3552320767169772 " " y[1] (numeric) = 1.3552320767169757 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.14689746588680950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8600000000000001 " " y[1] (closed_form) = 1.3520822065981608 " " y[1] (numeric) = 1.3520822065981595 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.85345138815319200000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8610000000000001 " " y[1] (closed_form) = 1.3489433052618227 " " y[1] (numeric) = 1.3489433052618214 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.87637971405775100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8620000000000001 " " y[1] (closed_form) = 1.3458153218382756 " " y[1] (numeric) = 1.3458153218382742 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.89933468531490100000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8630000000000001 " " y[1] (closed_form) = 1.342698205752387 " " y[1] (numeric) = 1.3426982057523857 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.92231630192464400000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8640000000000001 " " y[1] (closed_form) = 1.3395919067215358 " " y[1] (numeric) = 1.3395919067215345 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 9.94532456388697500000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8650000000000001 " " y[1] (closed_form) = 1.3364963747535832 " " y[1] (numeric) = 1.3364963747535816 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.1629752716402210000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8660000000000001 " " y[1] (closed_form) = 1.3334115601448617 " " y[1] (numeric) = 1.33341156014486 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.33218946984925450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8670000000000001 " " y[1] (closed_form) = 1.33033741347818 " " y[1] (numeric) = 1.3303374134781787 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.00145092218895160000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8680000000000001 " " y[1] (closed_form) = 1.3272738856208455 " " y[1] (numeric) = 1.327273885620844 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.17105614094725780000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8690000000000001 " " y[1] (closed_form) = 1.324220927722697 " " y[1] (numeric) = 1.3242209277226957 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.00607655539874980000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8700000000000001 " " y[1] (closed_form) = 1.3211784912141629 " " y[1] (numeric) = 1.3211784912141613 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.17645893027429350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8710000000000001 " " y[1] (closed_form) = 1.3181465278043236 " " y[1] (numeric) = 1.318146527804322 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.17916498787451490000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8720000000000001 " " y[1] (closed_form) = 1.3151249894789996 " " y[1] (numeric) = 1.3151249894789983 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.01303498922789030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8730000000000001 " " y[1] (closed_form) = 1.3121138284988498 " " y[1] (numeric) = 1.312113828498848 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.35381306165527350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8740000000000001 " " y[1] (closed_form) = 1.309112997397483 " " y[1] (numeric) = 1.3091129973974815 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.18730181242199250000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8750000000000001 " " y[1] (closed_form) = 1.3061224489795917 " " y[1] (numeric) = 1.30612244897959 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.3600232051658170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8760000000000001 " " y[1] (closed_form) = 1.3031421363190923 " " y[1] (numeric) = 1.3031421363190907 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.1927419052426559000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8770000000000001 " " y[1] (closed_form) = 1.3001720127572873 " " y[1] (numeric) = 1.300172012757286 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.02468566964830680000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8780000000000001 " " y[1] (closed_form) = 1.2972120319010376 " " y[1] (numeric) = 1.2972120319010365 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 8.55853166115139600000000000000E-14 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 17 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8790000000000001 " " y[1] (closed_form) = 1.2942621476209515 " " y[1] (numeric) = 1.2942621476209502 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.02936459356328710000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8800000000000001 " " y[1] (closed_form) = 1.2913223140495864 " " y[1] (numeric) = 1.2913223140495849 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.203659394377610000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8810000000000001 " " y[1] (closed_form) = 1.2883924855796665 " " y[1] (numeric) = 1.2883924855796651 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.0340541756193039000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8820000000000001 " " y[1] (closed_form) = 1.2854726168623152 " " y[1] (numeric) = 1.2854726168623136 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.20913679069190080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8830000000000001 " " y[1] (closed_form) = 1.2825626628052975 " " y[1] (numeric) = 1.282562662805296 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.21188015178574960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8840000000000001 " " y[1] (closed_form) = 1.2796625785712819 " " y[1] (numeric) = 1.2796625785712803 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.21462662150406730000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8850000000000001 " " y[1] (closed_form) = 1.2767723195761111 " " y[1] (numeric) = 1.2767723195761096 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.2173761998468540000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8860000000000001 " " y[1] (closed_form) = 1.2738918414870901 " " y[1] (numeric) = 1.2738918414870883 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.39443301350183930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8870000000000001 " " y[1] (closed_form) = 1.2710211002212846 " " y[1] (numeric) = 1.2710211002212828 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.3975824941780960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8880000000000001 " " y[1] (closed_form) = 1.2681600519438354 " " y[1] (numeric) = 1.2681600519438336 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.40073552756803170000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8890000000000001 " " y[1] (closed_form) = 1.2653086530662854 " " y[1] (numeric) = 1.2653086530662836 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.40389211367164600000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8900000000000001 " " y[1] (closed_form) = 1.2624668602449183 " " y[1] (numeric) = 1.2624668602449165 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.40705225248893870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8910000000000001 " " y[1] (closed_form) = 1.2596346303791117 " " y[1] (numeric) = 1.2596346303791102 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.23393895101742190000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8920000000000001 " " y[1] (closed_form) = 1.2568119206097044 " " y[1] (numeric) = 1.2568119206097026 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.41338318826456120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8930000000000001 " " y[1] (closed_form) = 1.2539986883173715 " " y[1] (numeric) = 1.25399868831737 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.23948473707002950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8940000000000001 " " y[1] (closed_form) = 1.25119489112102 " " y[1] (numeric) = 1.2511948911210184 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.2422622930330370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8950000000000001 " " y[1] (closed_form) = 1.2484004868761898 " " y[1] (numeric) = 1.2484004868761878 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.6007695169406590000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8960000000000001 " " y[1] (closed_form) = 1.245615433673469 " " y[1] (numeric) = 1.2456154336734673 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.4260876923799520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8970000000000001 " " y[1] (closed_form) = 1.2428396898369265 " " y[1] (numeric) = 1.242839689836925 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.25061361266887220000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8980000000000001 " " y[1] (closed_form) = 1.2400732139225494 " " y[1] (numeric) = 1.2400732139225479 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.25340360312975520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.8990000000000001 " " y[1] (closed_form) = 1.2373159647166978 " " y[1] (numeric) = 1.2373159647166958 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.6151100457051370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9000000000000001 " " y[1] (closed_form) = 1.2345679012345676 " " y[1] (numeric) = 1.2345679012345658 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.43884903991420320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9010000000000001 " " y[1] (closed_form) = 1.231828982718671 " " y[1] (numeric) = 1.231828982718669 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.62230429090470830000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9020000000000001 " " y[1] (closed_form) = 1.2290991686373218 " " y[1] (numeric) = 1.22909916863732 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.44525102996340200000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9030000000000001 " " y[1] (closed_form) = 1.2263784186831388 " " y[1] (numeric) = 1.226378418683137 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.44845735405851940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9040000000000001 " " y[1] (closed_form) = 1.223666692771556 " " y[1] (numeric) = 1.2236666927715538 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.81458403858414390000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9050000000000001 " " y[1] (closed_form) = 1.2209639510393453 " " y[1] (numeric) = 1.2209639510393433 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.63674074293851420000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9060000000000001 " " y[1] (closed_form) = 1.2182701538431546 " " y[1] (numeric) = 1.2182701538431528 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.45809764262594430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9070000000000001 " " y[1] (closed_form) = 1.215585261758052 " " y[1] (numeric) = 1.2155852617580503 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.46131817757577700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9080000000000001 " " y[1] (closed_form) = 1.212909235576083 " " y[1] (numeric) = 1.2129092355760813 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.46454226523928870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9090000000000001 " " y[1] (closed_form) = 1.2102420363048403 " " y[1] (numeric) = 1.2102420363048385 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.4677699056164790000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9100000000000001 " " y[1] (closed_form) = 1.2075836251660426 " " y[1] (numeric) = 1.2075836251660406 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.65487623604576640000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9110000000000001 " " y[1] (closed_form) = 1.204933963594125 " " y[1] (numeric) = 1.204933963594123 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.65851532507588250000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9120000000000001 " " y[1] (closed_form) = 1.2022930132348413 " " y[1] (numeric) = 1.2022930132348393 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.66215841090888740000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9130000000000001 " " y[1] (closed_form) = 1.1996607359438747 " " y[1] (numeric) = 1.199660735943873 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.48071599426202800000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9140000000000001 " " y[1] (closed_form) = 1.197037093785462 " " y[1] (numeric) = 1.19703709378546 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.66945657298356340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9150000000000001 " " y[1] (closed_form) = 1.194422049031025 " " y[1] (numeric) = 1.194422049031023 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.67311164922523400000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9160000000000001 " " y[1] (closed_form) = 1.1918155641578152 " " y[1] (numeric) = 1.1918155641578132 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.67677072226979400000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9170000000000001 " " y[1] (closed_form) = 1.1892176018475678 " " y[1] (numeric) = 1.1892176018475662 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.30700406053563340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9180000000000001 " " y[1] (closed_form) = 1.1866281249851667 " " y[1] (numeric) = 1.186628124985165 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.49697854112673720000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9190000000000002 " " y[1] (closed_form) = 1.184047096657316 " " y[1] (numeric) = 1.1840470966573144 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.31271149506062600000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9200000000000002 " " y[1] (closed_form) = 1.181474480151228 " " y[1] (numeric) = 1.1814744801512265 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.31556987525982630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9210000000000002 " " y[1] (closed_form) = 1.178910238953316 " " y[1] (numeric) = 1.1789102389533141 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.50677870180970840000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9220000000000002 " " y[1] (closed_form) = 1.1763543367478975 " " y[1] (numeric) = 1.1763543367478957 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.5100525274647228000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9230000000000002 " " y[1] (closed_form) = 1.173806737415911 " " y[1] (numeric) = 1.1738067374159094 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.32416366760423950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9240000000000002 " " y[1] (closed_form) = 1.1712674050336382 " " y[1] (numeric) = 1.1712674050336367 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.32703448230131550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9250000000000002 " " y[1] (closed_form) = 1.1687363038714387 " " y[1] (numeric) = 1.168736303871437 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.51989532071183960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9260000000000002 " " y[1] (closed_form) = 1.1662133983924912 " " y[1] (numeric) = 1.1662133983924894 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.52318335722156940000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9270000000000002 " " y[1] (closed_form) = 1.163698653251548 " " y[1] (numeric) = 1.1636986532515465 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.33566557813935620000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9280000000000002 " " y[1] (closed_form) = 1.1611920332936978 " " y[1] (numeric) = 1.161192033293696 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.52977008838206560000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9290000000000002 " " y[1] (closed_form) = 1.1586935035531332 " " y[1] (numeric) = 1.1586935035531316 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.34143518515372840000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9300000000000002 " " y[1] (closed_form) = 1.156203029251936 " " y[1] (numeric) = 1.1562030292519345 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.34432465159761760000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9310000000000002 " " y[1] (closed_form) = 1.1537205757988647 " " y[1] (numeric) = 1.153720575798863 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.53967683047540080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9320000000000002 " " y[1] (closed_form) = 1.151246108788152 " " y[1] (numeric) = 1.1512461087881503 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.54298618326720340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9330000000000002 " " y[1] (closed_form) = 1.1487795939983154 " " y[1] (numeric) = 1.1487795939983139 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.35301170267609960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9340000000000002 " " y[1] (closed_form) = 1.1463209973909732 " " y[1] (numeric) = 1.1463209973909714 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.54961554699184520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9350000000000002 " " y[1] (closed_form) = 1.1438702851096683 " " y[1] (numeric) = 1.1438702851096665 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.55293555792468450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9360000000000002 " " y[1] (closed_form) = 1.141427423478705 " " y[1] (numeric) = 1.1414274234787034 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.36172673137480240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9370000000000002 " " y[1] (closed_form) = 1.138992379001992 " " y[1] (numeric) = 1.13899237900199 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.75453451767282360000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9380000000000002 " " y[1] (closed_form) = 1.136565118361891 " " y[1] (numeric) = 1.1365651183618894 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.36755229362961530000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9390000000000002 " " y[1] (closed_form) = 1.1341456084180819 " " y[1] (numeric) = 1.1341456084180803 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.37046973769372550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9400000000000002 " " y[1] (closed_form) = 1.1317338162064277 " " y[1] (numeric) = 1.131733816206426 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.37339029038230450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9410000000000002 " " y[1] (closed_form) = 1.129329708937854 " " y[1] (numeric) = 1.129329708937852 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.76954650932259480000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9420000000000002 " " y[1] (closed_form) = 1.1269332539972317 " " y[1] (numeric) = 1.12693325399723 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.37924072163286920000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9430000000000002 " " y[1] (closed_form) = 1.1245444189422755 " " y[1] (numeric) = 1.1245444189422737 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.5796235430798340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9440000000000002 " " y[1] (closed_form) = 1.1221631715024416 " " y[1] (numeric) = 1.1221631715024396 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.78084746949025460000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9450000000000002 " " y[1] (closed_form) = 1.1197894795778387 " " y[1] (numeric) = 1.1197894795778371 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.38803968319223340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9460000000000002 " " y[1] (closed_form) = 1.1174233112381493 " " y[1] (numeric) = 1.1174233112381475 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.58969015728871500000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9470000000000002 " " y[1] (closed_form) = 1.115064634721551 " " y[1] (numeric) = 1.1150646347215494 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.39392120068748760000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9480000000000002 " " y[1] (closed_form) = 1.1127134184336551 " " y[1] (numeric) = 1.1127134184336533 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.59641899699636350000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9490000000000002 " " y[1] (closed_form) = 1.1103696309464453 " " y[1] (numeric) = 1.1103696309464435 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.59978874592070580000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9500000000000002 " " y[1] (closed_form) = 1.1080332409972293 " " y[1] (numeric) = 1.1080332409972276 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6031620475587272000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9510000000000002 " " y[1] (closed_form) = 1.1057042174875966 " " y[1] (numeric) = 1.1057042174875944 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.00817362738803270000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9520000000000002 " " y[1] (closed_form) = 1.103382529482381 " " y[1] (numeric) = 1.103382529482379 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.81115922259778070000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9530000000000002 " " y[1] (closed_form) = 1.1010681462086367 " " y[1] (numeric) = 1.1010681462086347 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.81496617734922040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9540000000000002 " " y[1] (closed_form) = 1.0987610370546168 " " y[1] (numeric) = 1.0987610370546148 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.81877712890354870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9550000000000002 " " y[1] (closed_form) = 1.0964611715687613 " " y[1] (numeric) = 1.0964611715687593 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.82259207726076600000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9560000000000002 " " y[1] (closed_form) = 1.0941685194586923 " " y[1] (numeric) = 1.0941685194586905 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.62347646437410810000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9570000000000002 " " y[1] (closed_form) = 1.0918830505902168 " " y[1] (numeric) = 1.091883050590215 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.62687463500788080000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9580000000000002 " " y[1] (closed_form) = 1.089604734986336 " " y[1] (numeric) = 1.089604734986334 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.83406090314974850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9590000000000002 " " y[1] (closed_form) = 1.0873335428262623 " " y[1] (numeric) = 1.0873335428262603 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.837891838718520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9600000000000002 " " y[1] (closed_form) = 1.0850694444444442 " " y[1] (numeric) = 1.0850694444444422 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.841726771090180000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9610000000000002 " " y[1] (closed_form) = 1.082812410329597 " " y[1] (numeric) = 1.082812410329595 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.84556570026472880000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9620000000000002 " " y[1] (closed_form) = 1.0805624111237413 " " y[1] (numeric) = 1.0805624111237395 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6439187788819260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9630000000000002 " " y[1] (closed_form) = 1.0783194176212485 " " y[1] (numeric) = 1.0783194176212467 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.64733826579777140000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9640000000000002 " " y[1] (closed_form) = 1.0760834007678928 " " y[1] (numeric) = 1.076083400767891 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.65076130542729570000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9650000000000002 " " y[1] (closed_form) = 1.0738543316599096 " " y[1] (numeric) = 1.0738543316599083 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.24064092332787450000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9660000000000002 " " y[1] (closed_form) = 1.0716321815430643 " " y[1] (numeric) = 1.0716321815430625 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.65761804282738070000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9670000000000002 " " y[1] (closed_form) = 1.0694169218117202 " " y[1] (numeric) = 1.0694169218117184 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.66105174059794140000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9680000000000002 " " y[1] (closed_form) = 1.0672085240079228 " " y[1] (numeric) = 1.0672085240079208 " " absolute error = 1.9984014443252818000000000000000E-15 " " relative error = 1.87255011496745340000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9690000000000002 " " y[1] (closed_form) = 1.065006959820482 " " y[1] (numeric) = 1.0650069598204803 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.66792979428009900000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9700000000000002 " " y[1] (closed_form) = 1.0628122010840682 " " y[1] (numeric) = 1.0628122010840664 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.67137415019169620000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9710000000000002 " " y[1] (closed_form) = 1.060624219778308 " " y[1] (numeric) = 1.0606242197783062 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.6748220588169720000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9720000000000002 " " y[1] (closed_form) = 1.0584429880268924 " " y[1] (numeric) = 1.0584429880268909 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.46848933013643630000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9730000000000002 " " y[1] (closed_form) = 1.0562684780966882 " " y[1] (numeric) = 1.0562684780966867 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.47151246743249030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9740000000000002 " " y[1] (closed_form) = 1.054100662396856 " " y[1] (numeric) = 1.0541006623968543 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.68518710097487260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9750000000000002 " " y[1] (closed_form) = 1.0519395134779743 " " y[1] (numeric) = 1.051939513477973 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2664869153411482000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9760000000000002 " " y[1] (closed_form) = 1.0497850040311738 " " y[1] (numeric) = 1.0497850040311725 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.26908616948640060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9770000000000002 " " y[1] (closed_form) = 1.0476371068872705 " " y[1] (numeric) = 1.0476371068872692 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2716880881669120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9780000000000002 " " y[1] (closed_form) = 1.045495795015912 " " y[1] (numeric) = 1.0454957950159105 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4866747832797960000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9790000000000002 " " y[1] (closed_form) = 1.0433610415247254 " " y[1] (numeric) = 1.043361041524724 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.27689991913371240000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9800000000000002 " " y[1] (closed_form) = 1.0412328196584753 " " y[1] (numeric) = 1.0412328196584737 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4927614699900010000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9810000000000002 " " y[1] (closed_form) = 1.0391111027982216 " " y[1] (numeric) = 1.0391111027982203 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.2821224082415492000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9820000000000002 " " y[1] (closed_form) = 1.036995864460492 " " y[1] (numeric) = 1.0369958644604904 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.4988605911980820000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9830000000000002 " " y[1] (closed_form) = 1.0348870782964514 " " y[1] (numeric) = 1.0348870782964497 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.71647407398722920000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9840000000000002 " " y[1] (closed_form) = 1.0327847180910832 " " y[1] (numeric) = 1.0327847180910814 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.7199681678903292000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9850000000000002 " " y[1] (closed_form) = 1.0306887577623742 " " y[1] (numeric) = 1.0306887577623727 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.50803258769372030000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9860000000000002 " " y[1] (closed_form) = 1.0285991713605072 " " y[1] (numeric) = 1.0285991713605056 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.5110961371078710000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9870000000000002 " " y[1] (closed_form) = 1.0265159330670548 " " y[1] (numeric) = 1.0265159330670532 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.514162795146490000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9880000000000002 " " y[1] (closed_form) = 1.024439017194184 " " y[1] (numeric) = 1.0244390171941826 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.30048505297963900000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9890000000000002 " " y[1] (closed_form) = 1.0223683981838645 " " y[1] (numeric) = 1.022368398183863 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.52030543709713600000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9900000000000002 " " y[1] (closed_form) = 1.0203040506070806 " " y[1] (numeric) = 1.020304050607079 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.52338142100916260000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9910000000000002 " " y[1] (closed_form) = 1.0182459491630522 " " y[1] (numeric) = 1.018245949163051 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.30839472589627900000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9920000000000002 " " y[1] (closed_form) = 1.0161940686784594 " " y[1] (numeric) = 1.016194068678458 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.31103661260567700000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9930000000000002 " " y[1] (closed_form) = 1.0141483841066716 " " y[1] (numeric) = 1.0141483841066703 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.31368116385033370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9940000000000002 " " y[1] (closed_form) = 1.0121088705269843 " " y[1] (numeric) = 1.012108870526983 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.31632837963025020000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9950000000000002 " " y[1] (closed_form) = 1.0100755031438593 " " y[1] (numeric) = 1.0100755031438582 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.09914854995452130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9960000000000002 " " y[1] (closed_form) = 1.0080482572861724 " " y[1] (numeric) = 1.008048257286171 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.32163080479585970000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9970000000000002 " " y[1] (closed_form) = 1.0060271084064627 " " y[1] (numeric) = 1.0060271084064614 " " absolute error = 1.3322676295501878000000000000000E-15 " " relative error = 1.32428601418155320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9980000000000002 " " y[1] (closed_form) = 1.0040120320801917 " " y[1] (numeric) = 1.0040120320801906 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 1.10578657341875520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -0.9990000000000002 " " y[1] (closed_form) = 1.0020030040050056 " " y[1] (numeric) = 1.002003004005004 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.55120516431850370000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0000000000000002 " " y[1] (closed_form) = 0.9999999999999996 " " y[1] (numeric) = 0.9999999999999981 " " absolute error = 1.4432899320127035000000000000000E-15 " " relative error = 1.44328993201270430000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0010000000000001 " " y[1] (closed_form) = 0.9980029960049939 " " y[1] (numeric) = 0.9980029960049921 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.77991132943589060000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.002 " " y[1] (closed_form) = 0.9960119680798083 " " y[1] (numeric) = 0.9960119680798065 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.78346937218520930000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.003 " " y[1] (closed_form) = 0.9940268924035474 " " y[1] (numeric) = 0.9940268924035451 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 2.23378870956025740000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0039999999999998 " " y[1] (closed_form) = 0.992047745273885 " " y[1] (numeric) = 0.9920477452738826 " " absolute error = 2.3314683517128287000000000000000E-15 " " relative error = 2.35015740202015770000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0049999999999997 " " y[1] (closed_form) = 0.9900745031063595 " " y[1] (numeric) = 0.9900745031063568 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 2.6912472250728550000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0059999999999996 " " y[1] (closed_form) = 0.9881071424336694 " " y[1] (numeric) = 0.9881071424336664 " " absolute error = 2.9976021664879227000000000000000E-15 " " relative error = 3.03368130616376850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0069999999999995 " " y[1] (closed_form) = 0.9861456399049762 " " y[1] (numeric) = 0.9861456399049731 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 3.15229753411471970000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0079999999999993 " " y[1] (closed_form) = 0.9841899722852118 " " y[1] (numeric) = 0.9841899722852084 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 3.38417294187820000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0089999999999992 " " y[1] (closed_form) = 0.9822401164543896 " " y[1] (numeric) = 0.9822401164543862 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 3.39089090140020750000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0099999999999991 " " y[1] (closed_form) = 0.9802960494069226 " " y[1] (numeric) = 0.980296049406919 " " absolute error = 3.6637359812630166000000000000000E-15 " " relative error = 3.73737707448639660000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.010999999999999 " " y[1] (closed_form) = 0.9783577482509428 " " y[1] (numeric) = 0.978357748250939 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 3.85825971171981750000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.011999999999999 " " y[1] (closed_form) = 0.9764251902076292 " " y[1] (numeric) = 0.9764251902076251 " " absolute error = 4.107825191113079000000000000000E-15 " " relative error = 4.2070045225273040000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0129999999999988 " " y[1] (closed_form) = 0.9744983526105372 " " y[1] (numeric) = 0.974498352610533 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 4.3292505136349650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0139999999999987 " " y[1] (closed_form) = 0.972577212904935 " " y[1] (numeric) = 0.9725772129049306 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 4.5661074921099380000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0149999999999986 " " y[1] (closed_form) = 0.9706617486471428 " " y[1] (numeric) = 0.9706617486471383 " " absolute error = 4.551914400963142000000000000000E-15 " " relative error = 4.689496013732240600000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0159999999999985 " " y[1] (closed_form) = 0.9687519375038779 " " y[1] (numeric) = 0.9687519375038731 " " absolute error = 4.773959005888173000000000000000E-15 " " relative error = 4.9279478275820876000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0169999999999983 " " y[1] (closed_form) = 0.9668477572516031 " " y[1] (numeric) = 0.966847757251598 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 5.2821407248160130000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0179999999999982 " " y[1] (closed_form) = 0.9649491857758803 " " y[1] (numeric) = 0.9649491857758752 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 5.2925335225495300000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0189999999999981 " " y[1] (closed_form) = 0.9630562010707294 " " y[1] (numeric) = 0.963056201070724 " " absolute error = 5.440092820663267000000000000000E-15 " " relative error = 5.6487802213567100000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.019999999999998 " " y[1] (closed_form) = 0.9611687812379892 " " y[1] (numeric) = 0.9611687812379834 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 6.0063953810640420000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.020999999999998 " " y[1] (closed_form) = 0.9592869044866847 " " y[1] (numeric) = 0.9592869044866789 " " absolute error = 5.88418203051333000000000000000E-15 " " relative error = 6.1339126000703210000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0219999999999978 " " y[1] (closed_form) = 0.9574105491323985 " " y[1] (numeric) = 0.9574105491323927 " " absolute error = 5.88418203051333000000000000000E-15 " " relative error = 6.1459339839586590000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0229999999999977 " " y[1] (closed_form) = 0.9555396935966463 " " y[1] (numeric) = 0.9555396935966399 " " absolute error = 6.328271240363392000000000000000E-15 " " relative error = 6.622719372906231000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0239999999999976 " " y[1] (closed_form) = 0.9536743164062546 " " y[1] (numeric) = 0.9536743164062481 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 6.7520886659621870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0249999999999975 " " y[1] (closed_form) = 0.9518143961927471 " " y[1] (numeric) = 0.9518143961927406 " " absolute error = 6.5503158452884240000000000000000E-15 " " relative error = 6.8819255849561160000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0259999999999974 " " y[1] (closed_form) = 0.9499599116917314 " " y[1] (numeric) = 0.9499599116917248 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 7.0122307960218320000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0269999999999972 " " y[1] (closed_form) = 0.9481108417422915 " " y[1] (numeric) = 0.9481108417422845 " " absolute error = 6.994405055138486000000000000000E-15 " " relative error = 7.377201849401120000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0279999999999971 " " y[1] (closed_form) = 0.9462671652863837 " " y[1] (numeric) = 0.9462671652863764 " " absolute error = 7.216449660063518000000000000000E-15 " " relative error = 7.626228537560520000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.028999999999997 " " y[1] (closed_form) = 0.9444288613682373 " " y[1] (numeric) = 0.94442886136823 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 7.7586277402729830000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.029999999999997 " " y[1] (closed_form) = 0.94259590913376 " " y[1] (numeric) = 0.9425959091337525 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 8.0092821264087870000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0309999999999968 " " y[1] (closed_form) = 0.940768287829945 " " y[1] (numeric) = 0.9407682878299373 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 8.2608664353500150000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0319999999999967 " " y[1] (closed_form) = 0.9389459768042845 " " y[1] (numeric) = 0.9389459768042766 " " absolute error = 7.882583474838611000000000000000E-15 " " relative error = 8.3951405827064650000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0329999999999966 " " y[1] (closed_form) = 0.9371289555041863 " " y[1] (numeric) = 0.9371289555041781 " " absolute error = 8.215650382226158000000000000000E-15 " " relative error = 8.766830150719270000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0339999999999965 " " y[1] (closed_form) = 0.9353172034763932 " " y[1] (numeric) = 0.9353172034763849 " " absolute error = 8.326672684688674000000000000000E-15 " " relative error = 8.9025120608709440000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0349999999999964 " " y[1] (closed_form) = 0.9335107003664095 " " y[1] (numeric) = 0.9335107003664008 " " absolute error = 8.659739592076221000000000000000E-15 " " relative error = 9.2765295445217850000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0359999999999963 " " y[1] (closed_form) = 0.9317094259179269 " " y[1] (numeric) = 0.9317094259179179 " " absolute error = 8.992806499463768000000000000000E-15 " " relative error = 9.6519432446483950000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0369999999999961 " " y[1] (closed_form) = 0.9299133599722583 " " y[1] (numeric) = 0.9299133599722492 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 9.7899752748985920000000000000E-13 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.037999999999996 " " y[1] (closed_form) = 0.9281224824677734 " " y[1] (numeric) = 0.9281224824677641 " " absolute error = 9.325873406851315000000000000000E-15 " " relative error = 1.0048106346971432000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.038999999999996 " " y[1] (closed_form) = 0.9263367734393383 " " y[1] (numeric) = 0.9263367734393287 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 1.0307177999990733000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0399999999999958 " " y[1] (closed_form) = 0.924556213017759 " " y[1] (numeric) = 0.9245562130177493 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 1.0567191566224125000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0409999999999957 " " y[1] (closed_form) = 0.922780781429229 " " y[1] (numeric) = 0.922780781429219 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 1.0828148377939238000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0419999999999956 " " y[1] (closed_form) = 0.9210104589947802 " " y[1] (numeric) = 0.9210104589947701 " " absolute error = 1.010302952408892500000000000000E-14 " " relative error = 1.0969505748192794000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0429999999999955 " " y[1] (closed_form) = 0.9192452261297374 " " y[1] (numeric) = 0.9192452261297271 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 1.1111346065462062000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0439999999999954 " " y[1] (closed_form) = 0.9174850633431768 " " y[1] (numeric) = 0.9174850633431665 " " absolute error = 1.032507412901395600000000000000E-14 " " relative error = 1.1253669995880856000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0449999999999953 " " y[1] (closed_form) = 0.9157299512373884 " " y[1] (numeric) = 0.9157299512373778 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.1638956465276244000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0459999999999952 " " y[1] (closed_form) = 0.9139798705073403 " " y[1] (numeric) = 0.9139798705073297 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 1.1661242638183363000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.046999999999995 " " y[1] (closed_form) = 0.9122348019401497 " " y[1] (numeric) = 0.9122348019401386 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.2170364716013066000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.047999999999995 " " y[1] (closed_form) = 0.9104947264145533 " " y[1] (numeric) = 0.9104947264145422 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 1.2193623888378963000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0489999999999948 " " y[1] (closed_form) = 0.9087596249003862 " " y[1] (numeric) = 0.9087596249003748 " " absolute error = 1.143529715363911200000000000000E-14 " " relative error = 1.2583412423161508000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0499999999999947 " " y[1] (closed_form) = 0.907029478458059 " " y[1] (numeric) = 0.9070294784580474 " " absolute error = 1.165734175856414400000000000000E-14 " " relative error = 1.285221928881683800000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0509999999999946 " " y[1] (closed_form) = 0.9053042682380427 " " y[1] (numeric) = 0.9053042682380309 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 1.2999346710173978000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0519999999999945 " " y[1] (closed_form) = 0.9035839754803547 " " y[1] (numeric) = 0.9035839754803426 " " absolute error = 1.210143096841420600000000000000E-14 " " relative error = 1.3392702058467734000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0529999999999944 " " y[1] (closed_form) = 0.9018685815140486 " " y[1] (numeric) = 0.9018685815140363 " " absolute error = 1.232347557333923800000000000000E-14 " " relative error = 1.366438062699856000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0539999999999943 " " y[1] (closed_form) = 0.9001580677567079 " " y[1] (numeric) = 0.9001580677566954 " " absolute error = 1.254552017826427000000000000000E-14 " " relative error = 1.3937019094356476000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0549999999999942 " " y[1] (closed_form) = 0.8984524157139426 " " y[1] (numeric) = 0.89845241571393 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 1.4087048194610774000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.055999999999994 " " y[1] (closed_form) = 0.8967516069788899 " " y[1] (numeric) = 0.8967516069788769 " " absolute error = 1.298960938811433200000000000000E-14 " " relative error = 1.4485181054624100000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.056999999999994 " " y[1] (closed_form) = 0.895055623231716 " " y[1] (numeric) = 0.8950556232317028 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 1.4636667655665125000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0579999999999938 " " y[1] (closed_form) = 0.8933644462391247 " " y[1] (numeric) = 0.8933644462391115 " " absolute error = 1.321165399303936300000000000000E-14 " " relative error = 1.4788649860264344000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0589999999999937 " " y[1] (closed_form) = 0.8916780578538664 " " y[1] (numeric) = 0.8916780578538529 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 1.519014714013148800000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0599999999999936 " " y[1] (closed_form) = 0.8899964400142506 " " y[1] (numeric) = 0.8899964400142371 " " absolute error = 1.35447209004269100000000000000E-14 " " relative error = 1.5218848403719495000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0609999999999935 " " y[1] (closed_form) = 0.8883195747436641 " " y[1] (numeric) = 0.8883195747436503 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 1.5497537031450100000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0619999999999934 " " y[1] (closed_form) = 0.8866474441500884 " " y[1] (numeric) = 0.8866474441500746 " " absolute error = 1.387778780781445700000000000000E-14 " " relative error = 1.5651979712316497000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0629999999999933 " " y[1] (closed_form) = 0.8849800304256247 " " y[1] (numeric) = 0.8849800304256105 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 1.6057825291681888000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0639999999999932 " " y[1] (closed_form) = 0.8833173158460172 " " y[1] (numeric) = 0.8833173158460029 " " absolute error = 1.43218770176645200000000000000E-14 " " relative error = 1.6213739684189726000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.064999999999993 " " y[1] (closed_form) = 0.8816592827701849 " " y[1] (numeric) = 0.8816592827701704 " " absolute error = 1.45439216225895500000000000000E-14 " " relative error = 1.649607950238142200000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.065999999999993 " " y[1] (closed_form) = 0.8800059136397513 " " y[1] (numeric) = 0.8800059136397366 " " absolute error = 1.476596622751458200000000000000E-14 " " relative error = 1.6779394318433336000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0669999999999928 " " y[1] (closed_form) = 0.8783571909785809 " " y[1] (numeric) = 0.8783571909785658 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 1.7190083134721357000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0679999999999927 " " y[1] (closed_form) = 0.8767130973923165 " " y[1] (numeric) = 0.8767130973923014 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 1.7222319570464373000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0689999999999926 " " y[1] (closed_form) = 0.8750736155679217 " " y[1] (numeric) = 0.8750736155679064 " " absolute error = 1.53210777398271600000000000000E-14 " " relative error = 1.7508330119042384000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0699999999999925 " " y[1] (closed_form) = 0.8734387282732239 " " y[1] (numeric) = 0.8734387282732083 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 1.7795320772506537000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0709999999999924 " " y[1] (closed_form) = 0.8718084183564618 " " y[1] (numeric) = 0.871808418356446 " " absolute error = 1.58761892521397390000000000000E-14 " " relative error = 1.8210639995963357000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0719999999999923 " " y[1] (closed_form) = 0.8701826687458356 " " y[1] (numeric) = 0.8701826687458197 " " absolute error = 1.58761892521397390000000000000E-14 " " relative error = 1.824466266953069200000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0729999999999922 " " y[1] (closed_form) = 0.8685614624490607 " " y[1] (numeric) = 0.8685614624490446 " " absolute error = 1.60982338570647700000000000000E-14 " " relative error = 1.8534363488420252000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.073999999999992 " " y[1] (closed_form) = 0.8669447825529225 " " y[1] (numeric) = 0.8669447825529062 " " absolute error = 1.6320278461989800000000000000E-14 " " relative error = 1.882504951922187000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.074999999999992 " " y[1] (closed_form) = 0.8653326122228361 " " y[1] (numeric) = 0.8653326122228197 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 1.8988421945919925000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0759999999999919 " " y[1] (closed_form) = 0.863724934702408 " " y[1] (numeric) = 0.8637249347023914 " " absolute error = 1.654232306691483200000000000000E-14 " " relative error = 1.91523046311200980000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0769999999999917 " " y[1] (closed_form) = 0.8621217333130005 " " y[1] (numeric) = 0.8621217333129837 " " absolute error = 1.676436767183986400000000000000E-14 " " relative error = 1.9445476229229244000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0779999999999916 " " y[1] (closed_form) = 0.8605229914532989 " " y[1] (numeric) = 0.860522991453282 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 1.9610620682896904000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0789999999999915 " " y[1] (closed_form) = 0.8589286925988826 " " y[1] (numeric) = 0.8589286925988655 " " absolute error = 1.70974345792274100000000000000E-14 " " relative error = 1.9905534331953986000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0799999999999914 " " y[1] (closed_form) = 0.8573388203017969 " " y[1] (numeric) = 0.8573388203017795 " " absolute error = 1.731947918415244200000000000000E-14 " " relative error = 2.0201440520395086000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0809999999999913 " " y[1] (closed_form) = 0.8557533581901297 " " y[1] (numeric) = 0.8557533581901121 " " absolute error = 1.754152378907747300000000000000E-14 " " relative error = 2.049834058048783000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0819999999999912 " " y[1] (closed_form) = 0.8541722899675894 " " y[1] (numeric) = 0.8541722899675718 " " absolute error = 1.76525460915399900000000000000E-14 " " relative error = 2.066625937047173000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.082999999999991 " " y[1] (closed_form) = 0.8525955994130873 " " y[1] (numeric) = 0.8525955994130693 " " absolute error = 1.798561299892753600000000000000E-14 " " relative error = 2.109512764469877000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.083999999999991 " " y[1] (closed_form) = 0.8510232703803196 " " y[1] (numeric) = 0.8510232703803013 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 2.1395017313352224000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0849999999999909 " " y[1] (closed_form) = 0.8494552867973555 " " y[1] (numeric) = 0.8494552867973373 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 2.1434509722694978000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0859999999999908 " " y[1] (closed_form) = 0.8478916326662267 " " y[1] (numeric) = 0.8478916326662083 " " absolute error = 1.8429702208777599000000000000E-14 " " relative error = 2.1735917066223095000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0869999999999906 " " y[1] (closed_form) = 0.846332292062518 " " y[1] (numeric) = 0.8463322920624994 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 2.2038325830919417000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0879999999999905 " " y[1] (closed_form) = 0.8447772491349627 " " y[1] (numeric) = 0.8447772491349441 " " absolute error = 1.854072451124011400000000000000E-14 " " relative error = 2.194747139583304000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0889999999999904 " " y[1] (closed_form) = 0.8432264881050404 " " y[1] (numeric) = 0.8432264881050215 " " absolute error = 1.88737914186276600000000000000E-14 " " relative error = 2.238282559296994300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0899999999999903 " " y[1] (closed_form) = 0.841679993266575 " " y[1] (numeric) = 0.841679993266556 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 2.268776277958255000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0909999999999902 " " y[1] (closed_form) = 0.8401377489853388 " " y[1] (numeric) = 0.8401377489853195 " " absolute error = 1.931788062847772400000000000000E-14 " " relative error = 2.299370627234468300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.09199999999999 " " y[1] (closed_form) = 0.838599739698656 " " y[1] (numeric) = 0.8385997396986365 " " absolute error = 1.94289029309402400000000000000E-14 " " relative error = 2.3168267304640305000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.09299999999999 " " y[1] (closed_form) = 0.8370659499150113 " " y[1] (numeric) = 0.8370659499149916 " " absolute error = 1.96509475358652700000000000000E-14 " " relative error = 2.3475984822773477000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0939999999999899 " " y[1] (closed_form) = 0.8355363642136587 " " y[1] (numeric) = 0.835536364213639 " " absolute error = 1.976196983832778600000000000000E-14 " " relative error = 2.3651836933424436000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0949999999999898 " " y[1] (closed_form) = 0.8340109672442347 " " y[1] (numeric) = 0.8340109672442149 " " absolute error = 1.987299214079030200000000000000E-14 " " relative error = 2.3828214401610653000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0959999999999896 " " y[1] (closed_form) = 0.8324897437263731 " " y[1] (numeric) = 0.8324897437263529 " " absolute error = 2.02060590481778500000000000000E-14 " " relative error = 2.4271841425615542000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0969999999999895 " " y[1] (closed_form) = 0.830972678449321 " " y[1] (numeric) = 0.8309726784493008 " " absolute error = 2.02060590481778500000000000000E-14 " " relative error = 2.43161533131082000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0979999999999894 " " y[1] (closed_form) = 0.8294597562715611 " " y[1] (numeric) = 0.8294597562715407 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 2.4628203476594973000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0989999999999893 " " y[1] (closed_form) = 0.8279509621204316 " " y[1] (numeric) = 0.827950962120411 " " absolute error = 2.065014825802791200000000000000E-14 " " relative error = 2.4941269716193887000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.0999999999999892 " " y[1] (closed_form) = 0.8264462809917519 " " y[1] (numeric) = 0.8264462809917309 " " absolute error = 2.09832151654154600000000000000E-14 " " relative error = 2.53896903501522000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.100999999999989 " " y[1] (closed_form) = 0.8249456979494487 " " y[1] (numeric) = 0.8249456979494278 " " absolute error = 2.087219286295294300000000000000E-14 " " relative error = 2.5301293060663920000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.101999999999989 " " y[1] (closed_form) = 0.8234491981251874 " " y[1] (numeric) = 0.8234491981251661 " " absolute error = 2.12052597703404900000000000000E-14 " " relative error = 2.5751752286140056000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1029999999999889 " " y[1] (closed_form) = 0.8219567667180008 " " y[1] (numeric) = 0.8219567667179795 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 2.593358061631027000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1039999999999888 " " y[1] (closed_form) = 0.8204683889939256 " " y[1] (numeric) = 0.8204683889939041 " " absolute error = 2.153832667772803700000000000000E-14 " " relative error = 2.6251257168041237000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1049999999999887 " " y[1] (closed_form) = 0.8189840502856376 " " y[1] (numeric) = 0.8189840502856158 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 2.6569957345400913000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1059999999999885 " " y[1] (closed_form) = 0.8175037359920904 " " y[1] (numeric) = 0.8175037359920686 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 2.6618069526306860000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1069999999999884 " " y[1] (closed_form) = 0.8160274315781569 " " y[1] (numeric) = 0.816027431578135 " " absolute error = 2.1982415887578100000000000000E-14 " " relative error = 2.6938329567016134000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1079999999999883 " " y[1] (closed_form) = 0.814555122574272 " " y[1] (numeric) = 0.8145551225742498 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 2.725961678606778600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1089999999999882 " " y[1] (closed_form) = 0.8130867945760779 " " y[1] (numeric) = 0.8130867945760555 " " absolute error = 2.242650509742816200000000000000E-14 " " relative error = 2.758193251572945700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.109999999999988 " " y[1] (closed_form) = 0.8116224332440722 " " y[1] (numeric) = 0.8116224332440497 " " absolute error = 2.253752739989067800000000000000E-14 " " relative error = 2.7768487509404710000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.110999999999988 " " y[1] (closed_form) = 0.810162024303258 " " y[1] (numeric) = 0.8101620243032351 " " absolute error = 2.287059430727822500000000000000E-14 " " relative error = 2.822965483595335000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1119999999999879 " " y[1] (closed_form) = 0.8087055535427949 " " y[1] (numeric) = 0.808705553542772 " " absolute error = 2.29816166097407400000000000000E-14 " " relative error = 2.8417780129074630000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1129999999999878 " " y[1] (closed_form) = 0.8072530068156549 " " y[1] (numeric) = 0.8072530068156317 " " absolute error = 2.320366121466577200000000000000E-14 " " relative error = 2.874397619922967000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1139999999999877 " " y[1] (closed_form) = 0.8058043700382775 " " y[1] (numeric) = 0.8058043700382541 " " absolute error = 2.342570581959080300000000000000E-14 " " relative error = 2.9071207219288264000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1149999999999876 " " y[1] (closed_form) = 0.804359629190229 " " y[1] (numeric) = 0.8043596291902054 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 2.9261448819539077000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1159999999999874 " " y[1] (closed_form) = 0.802918770313863 " " y[1] (numeric) = 0.8029187703138393 " " absolute error = 2.37587727269783500000000000000E-14 " " relative error = 2.959050604545088000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1169999999999873 " " y[1] (closed_form) = 0.8014817795139837 " " y[1] (numeric) = 0.8014817795139598 " " absolute error = 2.386979502944086600000000000000E-14 " " relative error = 2.9782080690487367000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1179999999999872 " " y[1] (closed_form) = 0.80004864295751 " " y[1] (numeric) = 0.8000486429574861 " " absolute error = 2.386979502944086600000000000000E-14 " " relative error = 2.9835429682378170000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1189999999999871 " " y[1] (closed_form) = 0.7986193468731442 " " y[1] (numeric) = 0.79861934687312 " " absolute error = 2.420286193682841300000000000000E-14 " " relative error = 3.03058798056803000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.119999999999987 " " y[1] (closed_form) = 0.7971938775510389 " " y[1] (numeric) = 0.7971938775510146 " " absolute error = 2.431388423929092800000000000000E-14 " " relative error = 3.049933638976583000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.120999999999987 " " y[1] (closed_form) = 0.7957722213424705 " " y[1] (numeric) = 0.795772221342446 " " absolute error = 2.45359288442159600000000000000E-14 " " relative error = 3.0832854158723666000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1219999999999868 " " y[1] (closed_form) = 0.7943543646595108 " " y[1] (numeric) = 0.7943543646594862 " " absolute error = 2.464695114667847500000000000000E-14 " " relative error = 3.1027652447334453000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1229999999999867 " " y[1] (closed_form) = 0.7929402939747034 " " y[1] (numeric) = 0.7929402939746787 " " absolute error = 2.47579734491409900000000000000E-14 " " relative error = 3.1222998297940985000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1239999999999866 " " y[1] (closed_form) = 0.7915299958207406 " " y[1] (numeric) = 0.7915299958207157 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 3.141889237667708000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1249999999999865 " " y[1] (closed_form) = 0.7901234567901425 " " y[1] (numeric) = 0.7901234567901175 " " absolute error = 2.498001805406602200000000000000E-14 " " relative error = 3.161533534967655000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1259999999999863 " " y[1] (closed_form) = 0.788720663534939 " " y[1] (numeric) = 0.7887206635349139 " " absolute error = 2.509104035652854000000000000000E-14 " " relative error = 3.1812327883073205000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1269999999999862 " " y[1] (closed_form) = 0.7873216027663524 " " y[1] (numeric) = 0.7873216027663272 " " absolute error = 2.520206265899105300000000000000E-14 " " relative error = 3.2009870643000865000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1279999999999861 " " y[1] (closed_form) = 0.7859262612544835 " " y[1] (numeric) = 0.7859262612544581 " " absolute error = 2.542410726391608500000000000000E-14 " " relative error = 3.23492272968898000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.128999999999986 " " y[1] (closed_form) = 0.7845346258279977 " " y[1] (numeric) = 0.7845346258279722 " " absolute error = 2.5535129566378600000000000000E-14 " " relative error = 3.254812308561758000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.129999999999986 " " y[1] (closed_form) = 0.7831466833738154 " " y[1] (numeric) = 0.7831466833737898 " " absolute error = 2.564615186884111600000000000000E-14 " " relative error = 3.2747571321322405000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1309999999999858 " " y[1] (closed_form) = 0.7817624208368025 " " y[1] (numeric) = 0.7817624208367767 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 3.2947572670138100000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1319999999999857 " " y[1] (closed_form) = 0.7803818252194631 " " y[1] (numeric) = 0.7803818252194372 " " absolute error = 2.586819647376615000000000000000E-14 " " relative error = 3.3148127798198473000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1329999999999856 " " y[1] (closed_form) = 0.7790048835816351 " " y[1] (numeric) = 0.779004883581609 " " absolute error = 2.60902410786911800000000000000E-14 " " relative error = 3.3491755480063146000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1339999999999855 " " y[1] (closed_form) = 0.7776315830401861 " " y[1] (numeric) = 0.77763158304016 " " absolute error = 2.60902410786911800000000000000E-14 " " relative error = 3.3550902056588540000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1349999999999854 " " y[1] (closed_form) = 0.7762619107687134 " " y[1] (numeric) = 0.7762619107686871 " " absolute error = 2.63122856836162100000000000000E-14 " " relative error = 3.3896144224775615000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1359999999999852 " " y[1] (closed_form) = 0.774895853997243 " " y[1] (numeric) = 0.7748958539972165 " " absolute error = 2.65343302885412400000000000000E-14 " " relative error = 3.4242447100040424000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1369999999999851 " " y[1] (closed_form) = 0.7735334000119327 " " y[1] (numeric) = 0.7735334000119061 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 3.4446285823718430000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.137999999999985 " " y[1] (closed_form) = 0.7721745361547764 " " y[1] (numeric) = 0.7721745361547497 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 3.4506904000862965000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.138999999999985 " " y[1] (closed_form) = 0.7708192498233101 " " y[1] (numeric) = 0.7708192498232832 " " absolute error = 2.686739719592879000000000000000E-14 " " relative error = 3.485563859761861000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1399999999999848 " " y[1] (closed_form) = 0.7694675284703191 " " y[1] (numeric) = 0.769467528470292 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 3.520543856438869000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1409999999999847 " " y[1] (closed_form) = 0.7681193596035482 " " y[1] (numeric) = 0.7681193596035208 " " absolute error = 2.73114864057788500000000000000E-14 " " relative error = 3.555630523344082000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1419999999999846 " " y[1] (closed_form) = 0.7667747307854127 " " y[1] (numeric) = 0.7667747307853853 " " absolute error = 2.742250870824136700000000000000E-14 " " relative error = 3.576344864697393000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1429999999999845 " " y[1] (closed_form) = 0.7654336296327122 " " y[1] (numeric) = 0.7654336296326846 " " absolute error = 2.764455331316640000000000000000E-14 " " relative error = 3.6116199031431945000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1439999999999844 " " y[1] (closed_form) = 0.7640960438163443 " " y[1] (numeric) = 0.7640960438163167 " " absolute error = 2.764455331316640000000000000000E-14 " " relative error = 3.6179422124859150000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1449999999999843 " " y[1] (closed_form) = 0.7627619610610229 " " y[1] (numeric) = 0.762761961060995 " " absolute error = 2.78665979180914300000000000000E-14 " " relative error = 3.653380653556480600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1459999999999841 " " y[1] (closed_form) = 0.7614313691449947 " " y[1] (numeric) = 0.7614313691449666 " " absolute error = 2.80886425230164600000000000000E-14 " " relative error = 3.688926364375686400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.146999999999984 " " y[1] (closed_form) = 0.7601042558997604 " " y[1] (numeric) = 0.7601042558997322 " " absolute error = 2.819966482547897600000000000000E-14 " " relative error = 3.709973284138254000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.147999999999984 " " y[1] (closed_form) = 0.7587806092097967 " " y[1] (numeric) = 0.7587806092097684 " " absolute error = 2.831068712794149000000000000000E-14 " " relative error = 3.731076780866155500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1489999999999838 " " y[1] (closed_form) = 0.7574604170122794 " " y[1] (numeric) = 0.7574604170122509 " " absolute error = 2.85327317328665230000000000000E-14 " " relative error = 3.766894096646104500000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1499999999999837 " " y[1] (closed_form) = 0.7561436672968078 " " y[1] (numeric) = 0.7561436672967792 " " absolute error = 2.86437540353290400000000000000E-14 " " relative error = 3.788136471172157700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1509999999999836 " " y[1] (closed_form) = 0.7548303481051333 " " y[1] (numeric) = 0.7548303481051044 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 3.8241438904406133000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1519999999999835 " " y[1] (closed_form) = 0.7535204475308859 " " y[1] (numeric) = 0.7535204475308569 " " absolute error = 2.897682094271658600000000000000E-14 " " relative error = 3.845525498036184700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1529999999999834 " " y[1] (closed_form) = 0.7522139537193059 " " y[1] (numeric) = 0.7522139537192769 " " absolute error = 2.897682094271658600000000000000E-14 " " relative error = 3.852204655263481000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1539999999999833 " " y[1] (closed_form) = 0.7509108548669754 " " y[1] (numeric) = 0.7509108548669462 " " absolute error = 2.91988655476416170000000000000E-14 " " relative error = 3.888459643164197000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1549999999999832 " " y[1] (closed_form) = 0.7496111392215508 " " y[1] (numeric) = 0.7496111392215213 " " absolute error = 2.94209101525666500000000000000E-14 " " relative error = 3.9248229666276574000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.155999999999983 " " y[1] (closed_form) = 0.7483147950814985 " " y[1] (numeric) = 0.7483147950814689 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 3.94645844892227040000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.156999999999983 " " y[1] (closed_form) = 0.7470218107958319 " " y[1] (numeric) = 0.7470218107958021 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 3.9830131637329447000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1579999999999828 " " y[1] (closed_form) = 0.7457321747638487 " " y[1] (numeric) = 0.7457321747638188 " " absolute error = 2.98649993624167100000000000000E-14 " " relative error = 4.004788900502258000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1589999999999827 " " y[1] (closed_form) = 0.7444458754348716 " " y[1] (numeric) = 0.7444458754348415 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 4.041535450749358000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1599999999999826 " " y[1] (closed_form) = 0.743162901307989 " " y[1] (numeric) = 0.7431629013079587 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 4.078390958284095000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1609999999999825 " " y[1] (closed_form) = 0.7418832409317981 " " y[1] (numeric) = 0.7418832409317676 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 4.115355556333231000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1619999999999824 " " y[1] (closed_form) = 0.7406068829041493 " " y[1] (numeric) = 0.7406068829041188 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 4.122447938570293000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1629999999999823 " " y[1] (closed_form) = 0.7393338158718931 " " y[1] (numeric) = 0.7393338158718623 " " absolute error = 3.075317778211683600000000000000E-14 " " relative error = 4.159579491957871000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1639999999999822 " " y[1] (closed_form) = 0.7380640285306257 " " y[1] (numeric) = 0.7380640285305948 " " absolute error = 3.08642000845793500000000000000E-14 " " relative error = 4.181778123779494300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.164999999999982 " " y[1] (closed_form) = 0.7367975096244402 " " y[1] (numeric) = 0.7367975096244092 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 4.219102844871129000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.165999999999982 " " y[1] (closed_form) = 0.7355342479456757 " " y[1] (numeric) = 0.7355342479456445 " " absolute error = 3.1197266991966900000000000000E-14 " " relative error = 4.241443152252923300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1669999999999818 " " y[1] (closed_form) = 0.7342742323346699 " " y[1] (numeric) = 0.7342742323346385 " " absolute error = 3.14193115968919300000000000000E-14 " " relative error = 4.278961485137821000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1679999999999817 " " y[1] (closed_form) = 0.7330174516795126 " " y[1] (numeric) = 0.7330174516794811 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 4.301443823351157000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1689999999999816 " " y[1] (closed_form) = 0.7317638949158006 " " y[1] (numeric) = 0.7317638949157691 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 4.308812462383435000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1699999999999815 " " y[1] (closed_form) = 0.7305135510263946 " " y[1] (numeric) = 0.730513551026363 " " absolute error = 3.16413562018169600000000000000E-14 " " relative error = 4.331385250466587000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1709999999999814 " " y[1] (closed_form) = 0.7292664090411765 " " y[1] (numeric) = 0.7292664090411446 " " absolute error = 3.18634008067419900000000000000E-14 " " relative error = 4.3692401585636303000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1719999999999813 " " y[1] (closed_form) = 0.7280224580368087 " " y[1] (numeric) = 0.7280224580367768 " " absolute error = 3.18634008067419900000000000000E-14 " " relative error = 4.376705753372650600000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1729999999999812 " " y[1] (closed_form) = 0.7267816871364962 " " y[1] (numeric) = 0.7267816871364641 " " absolute error = 3.208544541166702400000000000000E-14 " " relative error = 4.414729481982818700000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.173999999999981 " " y[1] (closed_form) = 0.7255440855097471 " " y[1] (numeric) = 0.7255440855097148 " " absolute error = 3.230749001659205500000000000000E-14 " " relative error = 4.4528638110107000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.174999999999981 " " y[1] (closed_form) = 0.7243096423721376 " " y[1] (numeric) = 0.7243096423721052 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 4.475780857049326000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1759999999999808 " " y[1] (closed_form) = 0.723078346985076 " " y[1] (numeric) = 0.7230783469850436 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 4.483402449295536000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1769999999999807 " " y[1] (closed_form) = 0.7218501886555705 " " y[1] (numeric) = 0.7218501886555378 " " absolute error = 3.2640556923979600000000000000E-14 " " relative error = 4.521791008293825000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1779999999999806 " " y[1] (closed_form) = 0.7206251567359954 " " y[1] (numeric) = 0.7206251567359626 " " absolute error = 3.27515792264421200000000000000E-14 " " relative error = 4.54488424672646000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1789999999999805 " " y[1] (closed_form) = 0.7194032406238615 " " y[1] (numeric) = 0.7194032406238287 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 4.568036349183861000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1799999999999804 " " y[1] (closed_form) = 0.7181844297615866 " " y[1] (numeric) = 0.7181844297615536 " " absolute error = 3.29736238313671500000000000000E-14 " " relative error = 4.59124738227941000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1809999999999803 " " y[1] (closed_form) = 0.7169687136362669 " " y[1] (numeric) = 0.7169687136362338 " " absolute error = 3.308464613382966500000000000000E-14 " " relative error = 4.614517412626485400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1819999999999802 " " y[1] (closed_form) = 0.7157560817794509 " " y[1] (numeric) = 0.7157560817794176 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 4.653357699169035000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.18299999999998 " " y[1] (closed_form) = 0.7145465237669132 " " y[1] (numeric) = 0.7145465237668799 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 4.66123473152875000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.18399999999998 " " y[1] (closed_form) = 0.7133400292184316 " " y[1] (numeric) = 0.7133400292183982 " " absolute error = 3.34177130412172100000000000000E-14 " " relative error = 4.684682153310702000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1849999999999798 " " y[1] (closed_form) = 0.7121365877975637 " " y[1] (numeric) = 0.7121365877975301 " " absolute error = 3.363975764614224300000000000000E-14 " " relative error = 4.7237788680652487000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1859999999999797 " " y[1] (closed_form) = 0.7109361892114254 " " y[1] (numeric) = 0.7109361892113916 " " absolute error = 3.386180225106727400000000000000E-14 " " relative error = 4.76298755991406000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1869999999999796 " " y[1] (closed_form) = 0.7097388232104712 " " y[1] (numeric) = 0.7097388232104371 " " absolute error = 3.408384685599230600000000000000E-14 " " relative error = 4.802308362083897400000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1879999999999795 " " y[1] (closed_form) = 0.708544479588275 " " y[1] (numeric) = 0.708544479588241 " " absolute error = 3.408384685599230600000000000000E-14 " " relative error = 4.8104032757121945000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1889999999999794 " " y[1] (closed_form) = 0.7073531481813133 " " y[1] (numeric) = 0.7073531481812793 " " absolute error = 3.408384685599230600000000000000E-14 " " relative error = 4.8185050061098633000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1899999999999793 " " y[1] (closed_form) = 0.7061648188687486 " " y[1] (numeric) = 0.7061648188687142 " " absolute error = 3.44169137633798500000000000000E-14 " " relative error = 4.873779158032051000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1909999999999792 " " y[1] (closed_form) = 0.7049794815722135 " " y[1] (numeric) = 0.704979481572179 " " absolute error = 3.44169137633798500000000000000E-14 " " relative error = 4.881973825199111000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.191999999999979 " " y[1] (closed_form) = 0.7037971262555989 " " y[1] (numeric) = 0.7037971262555642 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 4.921724894302141300000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.192999999999979 " " y[1] (closed_form) = 0.7026177429248397 " " y[1] (numeric) = 0.702617742924805 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 4.9299862858729826000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1939999999999789 " " y[1] (closed_form) = 0.7014413216277053 " " y[1] (numeric) = 0.7014413216276706 " " absolute error = 3.4749980670767400000000000000E-14 " " relative error = 4.9540823443548404000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1949999999999787 " " y[1] (closed_form) = 0.7002678524535884 " " y[1] (numeric) = 0.7002678524535535 " " absolute error = 3.486100297322991500000000000000E-14 " " relative error = 4.978238377084488000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1959999999999786 " " y[1] (closed_form) = 0.6990973255332965 " " y[1] (numeric) = 0.6990973255332614 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 5.018335258455228000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1969999999999785 " " y[1] (closed_form) = 0.6979297310388445 " " y[1] (numeric) = 0.6979297310388095 " " absolute error = 3.49720252756924300000000000000E-14 " " relative error = 5.0108232563237810000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1979999999999784 " " y[1] (closed_form) = 0.6967650591832494 " " y[1] (numeric) = 0.6967650591832141 " " absolute error = 3.53050921830799800000000000000E-14 " " relative error = 5.067000952152327000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1989999999999783 " " y[1] (closed_form) = 0.6956033002203228 " " y[1] (numeric) = 0.6956033002202875 " " absolute error = 3.53050921830799800000000000000E-14 " " relative error = 5.075463582748613000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.1999999999999782 " " y[1] (closed_form) = 0.6944444444444696 " " y[1] (numeric) = 0.6944444444444343 " " absolute error = 3.53050921830799800000000000000E-14 " " relative error = 5.083933274363333000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.200999999999978 " " y[1] (closed_form) = 0.6932884821904841 " " y[1] (numeric) = 0.6932884821904486 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 5.124437763015334000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.201999999999978 " " y[1] (closed_form) = 0.692135403833348 " " y[1] (numeric) = 0.6921354038333124 " " absolute error = 3.563815909046752500000000000000E-14 " " relative error = 5.1490154806541950000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2029999999999779 " " y[1] (closed_form) = 0.6909851997880311 " " y[1] (numeric) = 0.6909851997879953 " " absolute error = 3.57491813929300400000000000000E-14 " " relative error = 5.1736537054478990000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2039999999999778 " " y[1] (closed_form) = 0.6898378605092913 " " y[1] (numeric) = 0.6898378605092554 " " absolute error = 3.586020369539255600000000000000E-14 " " relative error = 5.198352504009827000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2049999999999776 " " y[1] (closed_form) = 0.6886933764914771 " " y[1] (numeric) = 0.688693376491441 " " absolute error = 3.60822483003175900000000000000E-14 " " relative error = 5.239232658826670000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2059999999999775 " " y[1] (closed_form) = 0.6875517382683303 " " y[1] (numeric) = 0.6875517382682941 " " absolute error = 3.619327060278010300000000000000E-14 " " relative error = 5.264079572242313000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2069999999999774 " " y[1] (closed_form) = 0.6864129364127904 " " y[1] (numeric) = 0.6864129364127541 " " absolute error = 3.63042929052426200000000000000E-14 " " relative error = 5.288987281470783000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2079999999999773 " " y[1] (closed_form) = 0.6852769615368004 " " y[1] (numeric) = 0.685276961536764 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 5.313955853125463000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2089999999999772 " " y[1] (closed_form) = 0.6841438042911125 " " y[1] (numeric) = 0.684143804291076 " " absolute error = 3.65263375101676500000000000000E-14 " " relative error = 5.338985353819735000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.209999999999977 " " y[1] (closed_form) = 0.6830134553650966 " " y[1] (numeric) = 0.6830134553650599 " " absolute error = 3.67483821150926800000000000000E-14 " " relative error = 5.380330625470515000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.210999999999977 " " y[1] (closed_form) = 0.6818859054865481 " " y[1] (numeric) = 0.6818859054865113 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 5.405509062583541000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2119999999999769 " " y[1] (closed_form) = 0.6807611454214988 " " y[1] (numeric) = 0.6807611454214619 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 5.414440096273914000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2129999999999768 " " y[1] (closed_form) = 0.6796391659740271 " " y[1] (numeric) = 0.6796391659739901 " " absolute error = 3.69704267200177130000000000000E-14 " " relative error = 5.439713979260367000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2139999999999767 " " y[1] (closed_form) = 0.6785199579860703 " " y[1] (numeric) = 0.6785199579860332 " " absolute error = 3.719247132494274400000000000000E-14 " " relative error = 5.4814115468813210000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2149999999999765 " " y[1] (closed_form) = 0.6774035123372376 " " y[1] (numeric) = 0.6774035123372003 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 5.506834988011421000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2159999999999764 " " y[1] (closed_form) = 0.6762898199446246 " " y[1] (numeric) = 0.6762898199445871 " " absolute error = 3.741451592986777500000000000000E-14 " " relative error = 5.532319846679242000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2169999999999763 " " y[1] (closed_form) = 0.6751788717626279 " " y[1] (numeric) = 0.6751788717625905 " " absolute error = 3.741451592986777500000000000000E-14 " " relative error = 5.5414227984049780000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2179999999999762 " " y[1] (closed_form) = 0.6740706587827625 " " y[1] (numeric) = 0.674070658782725 " " absolute error = 3.75255382323302900000000000000E-14 " " relative error = 5.567003658057739000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.218999999999976 " " y[1] (closed_form) = 0.6729651720334782 " " y[1] (numeric) = 0.6729651720334404 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 5.609143594042856000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.219999999999976 " " y[1] (closed_form) = 0.6718624025799781 " " y[1] (numeric) = 0.6718624025799402 " " absolute error = 3.78586051397178400000000000000E-14 " " relative error = 5.634874788995381000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2209999999999759 " " y[1] (closed_form) = 0.6707623415240388 " " y[1] (numeric) = 0.6707623415240008 " " absolute error = 3.796962744218035400000000000000E-14 " " relative error = 5.660667734552536000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2219999999999758 " " y[1] (closed_form) = 0.6696649800038302 " " y[1] (numeric) = 0.6696649800037922 " " absolute error = 3.80806497446428700000000000000E-14 " " relative error = 5.686522497327703000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2229999999999757 " " y[1] (closed_form) = 0.6685703091937375 " " y[1] (numeric) = 0.6685703091936993 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 5.712439143934261000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2239999999999756 " " y[1] (closed_form) = 0.6674783203041832 " " y[1] (numeric) = 0.6674783203041449 " " absolute error = 3.8302694349567900000000000000E-14 " " relative error = 5.738417740985595000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2249999999999754 " " y[1] (closed_form) = 0.6663890045814511 " " y[1] (numeric) = 0.6663890045814127 " " absolute error = 3.841371665203041600000000000000E-14 " " relative error = 5.764458355095083000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2259999999999753 " " y[1] (closed_form) = 0.6653023533075109 " " y[1] (numeric) = 0.6653023533074723 " " absolute error = 3.85247389544929300000000000000E-14 " " relative error = 5.7905610528761100000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2269999999999752 " " y[1] (closed_form) = 0.6642183577998433 " " y[1] (numeric) = 0.6642183577998046 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 5.816725900942052000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2279999999999751 " " y[1] (closed_form) = 0.6631370094112673 " " y[1] (numeric) = 0.6631370094112284 " " absolute error = 3.88578058618804800000000000000E-14 " " relative error = 5.85969495148196000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.228999999999975 " " y[1] (closed_form) = 0.662058299529767 " " y[1] (numeric) = 0.662058299529728 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 5.902780841892978000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.229999999999975 " " y[1] (closed_form) = 0.6609822195783204 " " y[1] (numeric) = 0.6609822195782812 " " absolute error = 3.919087276926802600000000000000E-14 " " relative error = 5.9291871412623180000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2309999999999748 " " y[1] (closed_form) = 0.6599087610147291 " " y[1] (numeric) = 0.6599087610146899 " " absolute error = 3.919087276926802600000000000000E-14 " " relative error = 5.9388320150508330000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2319999999999747 " " y[1] (closed_form) = 0.6588379153314489 " " y[1] (numeric) = 0.6588379153314096 " " absolute error = 3.93018950717305400000000000000E-14 " " relative error = 5.965335958535188000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2329999999999746 " " y[1] (closed_form) = 0.6577696740554205 " " y[1] (numeric) = 0.6577696740553811 " " absolute error = 3.94129173741930570000000000000E-14 " " relative error = 5.991902474189211000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2339999999999745 " " y[1] (closed_form) = 0.6567040287479027 " " y[1] (numeric) = 0.6567040287478632 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 6.018531628626285000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2349999999999743 " " y[1] (closed_form) = 0.6556409710043054 " " y[1] (numeric) = 0.6556409710042655 " " absolute error = 3.98570065840431200000000000000E-14 " " relative error = 6.079090286714462000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2359999999999742 " " y[1] (closed_form) = 0.6545804924540235 " " y[1] (numeric) = 0.6545804924539835 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 6.105899785779656000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2369999999999741 " " y[1] (closed_form) = 0.6535225847602728 " " y[1] (numeric) = 0.6535225847602328 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 6.115783879323289000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.237999999999974 " " y[1] (closed_form) = 0.652467239619926 " " y[1] (numeric) = 0.6524672396198861 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 6.1256759664726980000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.238999999999974 " " y[1] (closed_form) = 0.6514144487633496 " " y[1] (numeric) = 0.6514144487633096 " " absolute error = 4.00790511889681500000000000000E-14 " " relative error = 6.152619314025738000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2399999999999738 " " y[1] (closed_form) = 0.6503642039542419 " " y[1] (numeric) = 0.6503642039542016 " " absolute error = 4.03010957938931800000000000000E-14 " " relative error = 6.196696489268754000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2409999999999737 " " y[1] (closed_form) = 0.6493164969894716 " " y[1] (numeric) = 0.6493164969894312 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 6.223793524995094000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2419999999999736 " " y[1] (closed_form) = 0.6482713196989185 " " y[1] (numeric) = 0.648271319698878 " " absolute error = 4.052314039881821400000000000000E-14 " " relative error = 6.2509537546159970000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2429999999999735 " " y[1] (closed_form) = 0.6472286639453134 " " y[1] (numeric) = 0.6472286639452728 " " absolute error = 4.06341627012807300000000000000E-14 " " relative error = 6.278177244744841000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2439999999999733 " " y[1] (closed_form) = 0.6461885216240802 " " y[1] (numeric) = 0.6461885216240395 " " absolute error = 4.074518500374324500000000000000E-14 " " relative error = 6.305464061995012000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2449999999999732 " " y[1] (closed_form) = 0.6451508846631784 " " y[1] (numeric) = 0.6451508846631373 " " absolute error = 4.10782519111307900000000000000E-14 " " relative error = 6.367231741854776000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2459999999999731 " " y[1] (closed_form) = 0.6441157450229454 " " y[1] (numeric) = 0.6441157450229043 " " absolute error = 4.11892742135933100000000000000E-14 " " relative error = 6.3947007244988260000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.246999999999973 " " y[1] (closed_form) = 0.6430830946959427 " " y[1] (numeric) = 0.6430830946959015 " " absolute error = 4.11892742135933100000000000000E-14 " " relative error = 6.404969210560275000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.247999999999973 " " y[1] (closed_form) = 0.6420529257067997 " " y[1] (numeric) = 0.6420529257067584 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 6.4325377024940220000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2489999999999728 " " y[1] (closed_form) = 0.6410252301120599 " " y[1] (numeric) = 0.6410252301120185 " " absolute error = 4.14113188185183400000000000000E-14 " " relative error = 6.460169876820461000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2499999999999727 " " y[1] (closed_form) = 0.640000000000028 " " y[1] (numeric) = 0.6399999999999865 " " absolute error = 4.152234112098085500000000000000E-14 " " relative error = 6.487865800152974000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2509999999999726 " " y[1] (closed_form) = 0.6389772274906175 " " y[1] (numeric) = 0.6389772274905758 " " absolute error = 4.16333634234433700000000000000E-14 " " relative error = 6.5156255391049440000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2519999999999725 " " y[1] (closed_form) = 0.6379569047351994 " " y[1] (numeric) = 0.6379569047351576 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 6.5434491602897490000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2529999999999724 " " y[1] (closed_form) = 0.6369390239164515 " " y[1] (numeric) = 0.6369390239164097 " " absolute error = 4.1855408028368400000000000000E-14 " " relative error = 6.5713367303207750000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2539999999999722 " " y[1] (closed_form) = 0.6359235772482088 " " y[1] (numeric) = 0.6359235772481668 " " absolute error = 4.19664303308309200000000000000E-14 " " relative error = 6.599288315811399000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2549999999999721 " " y[1] (closed_form) = 0.6349105569753144 " " y[1] (numeric) = 0.6349105569752722 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 6.6447902735686050000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.255999999999972 " " y[1] (closed_form) = 0.6338999553734713 " " y[1] (numeric) = 0.6338999553734291 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 6.655383799624973000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.256999999999972 " " y[1] (closed_form) = 0.6328917647490961 " " y[1] (numeric) = 0.6328917647490538 " " absolute error = 4.229949723821846400000000000000E-14 " " relative error = 6.683527831174686000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2579999999999718 " " y[1] (closed_form) = 0.6318859774391713 " " y[1] (numeric) = 0.6318859774391289 " " absolute error = 4.24105195406809800000000000000E-14 " " relative error = 6.7117361446375260000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2589999999999717 " " y[1] (closed_form) = 0.6308825858111005 " " y[1] (numeric) = 0.6308825858110578 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 6.757606740847828000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2599999999999716 " " y[1] (closed_form) = 0.6298815822625631 " " y[1] (numeric) = 0.6298815822625203 " " absolute error = 4.274358644806852700000000000000E-14 " " relative error = 6.785971784495053000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2609999999999715 " " y[1] (closed_form) = 0.6288829592213707 " " y[1] (numeric) = 0.6288829592213279 " " absolute error = 4.28546087505310400000000000000E-14 " " relative error = 6.814401332100010000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2619999999999714 " " y[1] (closed_form) = 0.6278867091453241 " " y[1] (numeric) = 0.627886709145281 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 6.860577350664386000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2629999999999713 " " y[1] (closed_form) = 0.6268928245220697 " " y[1] (numeric) = 0.6268928245220267 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 6.871454205636639000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2639999999999711 " " y[1] (closed_form) = 0.6259012978689599 " " y[1] (numeric) = 0.6259012978689166 " " absolute error = 4.329869796038110500000000000000E-14 " " relative error = 6.917815653650589000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.264999999999971 " " y[1] (closed_form) = 0.6249121217329099 " " y[1] (numeric) = 0.6249121217328666 " " absolute error = 4.329869796038110500000000000000E-14 " " relative error = 6.928765894364768000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.265999999999971 " " y[1] (closed_form) = 0.6239252886902596 " " y[1] (numeric) = 0.6239252886902162 " " absolute error = 4.34097202628436200000000000000E-14 " " relative error = 6.9575189609591000000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2669999999999708 " " y[1] (closed_form) = 0.6229407913466335 " " y[1] (numeric) = 0.62294079134659 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 6.986336931191451000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2679999999999707 " " y[1] (closed_form) = 0.6219586223368019 " " y[1] (numeric) = 0.6219586223367582 " " absolute error = 4.36317648677686500000000000000E-14 " " relative error = 7.015219871675202000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2689999999999706 " " y[1] (closed_form) = 0.6209787743245435 " " y[1] (numeric) = 0.6209787743244998 " " absolute error = 4.37427871702311700000000000000E-14 " " relative error = 7.044167849023737000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2699999999999705 " " y[1] (closed_form) = 0.6200012400025088 " " y[1] (numeric) = 0.6200012400024649 " " absolute error = 4.385380947269368300000000000000E-14 " " relative error = 7.073180929850436000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2709999999999704 " " y[1] (closed_form) = 0.6190260120920829 " " y[1] (numeric) = 0.619026012092039 " " absolute error = 4.385380947269368300000000000000E-14 " " relative error = 7.084324182837447000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2719999999999703 " " y[1] (closed_form) = 0.618053083343251 " " y[1] (numeric) = 0.618053083343207 " " absolute error = 4.407585407761871500000000000000E-14 " " relative error = 7.13140266839185100000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2729999999999702 " " y[1] (closed_form) = 0.6170824465344631 " " y[1] (numeric) = 0.6170824465344188 " " absolute error = 4.429789868254374600000000000000E-14 " " relative error = 7.178602945412057000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.27399999999997 " " y[1] (closed_form) = 0.6161140944724998 " " y[1] (numeric) = 0.6161140944724554 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 7.207905383665663000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.27499999999997 " " y[1] (closed_form) = 0.6151480199923397 " " y[1] (numeric) = 0.6151480199922952 " " absolute error = 4.45199432874687800000000000000E-14 " " relative error = 7.2372732806688010000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2759999999999698 " " y[1] (closed_form) = 0.6141842159570263 " " y[1] (numeric) = 0.6141842159569817 " " absolute error = 4.46309655899312930000000000000E-14 " " relative error = 7.266706703034854000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2769999999999697 " " y[1] (closed_form) = 0.6132226752575366 " " y[1] (numeric) = 0.6132226752574919 " " absolute error = 4.47419878923938100000000000000E-14 " " relative error = 7.2962057173772010000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2779999999999696 " " y[1] (closed_form) = 0.6122633908126496 " " y[1] (numeric) = 0.6122633908126047 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 7.325770390309222000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2789999999999695 " " y[1] (closed_form) = 0.6113063555688162 " " y[1] (numeric) = 0.6113063555687711 " " absolute error = 4.507505479978135600000000000000E-14 " " relative error = 7.373562271872561000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2799999999999694 " " y[1] (closed_form) = 0.6103515625000292 " " y[1] (numeric) = 0.6103515624999841 " " absolute error = 4.507505479978135600000000000000E-14 " " relative error = 7.385096978395824000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2809999999999693 " " y[1] (closed_form) = 0.6093990046076951 " " y[1] (numeric) = 0.60939900460765 " " absolute error = 4.51860771022438700000000000000E-14 " " relative error = 7.414859026777165000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2819999999999692 " " y[1] (closed_form) = 0.608448674920505 " " y[1] (numeric) = 0.6084486749204597 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 7.444687000201707000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.282999999999969 " " y[1] (closed_form) = 0.6075005664943075 " " y[1] (numeric) = 0.6075005664942622 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 7.456305706199013000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.283999999999969 " " y[1] (closed_form) = 0.6065546724119819 " " y[1] (numeric) = 0.6065546724119364 " " absolute error = 4.55191440096314200000000000000E-14 " " relative error = 7.504540988633926000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2849999999999688 " " y[1] (closed_form) = 0.6056109857833115 " " y[1] (numeric) = 0.6056109857832659 " " absolute error = 4.563016631209393400000000000000E-14 " " relative error = 7.534567136868364000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2859999999999687 " " y[1] (closed_form) = 0.6046694997448588 " " y[1] (numeric) = 0.6046694997448132 " " absolute error = 4.563016631209393400000000000000E-14 " " relative error = 7.546298652627204000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2869999999999686 " " y[1] (closed_form) = 0.6037302074598406 " " y[1] (numeric) = 0.6037302074597949 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 7.576428684430054000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2879999999999685 " " y[1] (closed_form) = 0.6027931021180034 " " y[1] (numeric) = 0.6027931021179574 " " absolute error = 4.59632332194814800000000000000E-14 " " relative error = 7.625042997005576000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2889999999999684 " " y[1] (closed_form) = 0.6018581769355 " " y[1] (numeric) = 0.6018581769354541 " " absolute error = 4.59632332194814800000000000000E-14 " " relative error = 7.636887722206236000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2899999999999683 " " y[1] (closed_form) = 0.6009254251547678 " " y[1] (numeric) = 0.6009254251547217 " " absolute error = 4.607425552194399600000000000000E-14 " " relative error = 7.667216861406325000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2909999999999682 " " y[1] (closed_form) = 0.5999948400444053 " " y[1] (numeric) = 0.599994840044359 " " absolute error = 4.62963001268690300000000000000E-14 " " relative error = 7.716116379174638000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.291999999999968 " " y[1] (closed_form) = 0.599066414899051 " " y[1] (numeric) = 0.5990664148990047 " " absolute error = 4.62963001268690300000000000000E-14 " " relative error = 7.728074713497408000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.292999999999968 " " y[1] (closed_form) = 0.5981401430392634 " " y[1] (numeric) = 0.598140143039217 " " absolute error = 4.640732242933154300000000000000E-14 " " relative error = 7.758603559615166000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2939999999999678 " " y[1] (closed_form) = 0.5972160178114003 " " y[1] (numeric) = 0.5972160178113537 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 7.807789081936853000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2949999999999677 " " y[1] (closed_form) = 0.5962940325874986 " " y[1] (numeric) = 0.596294032587452 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 7.819861425062025000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2959999999999676 " " y[1] (closed_form) = 0.595374180765157 " " y[1] (numeric) = 0.5953741807651103 " " absolute error = 4.67403893367190900000000000000E-14 " " relative error = 7.850590577617884000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2969999999999675 " " y[1] (closed_form) = 0.5944564557674166 " " y[1] (numeric) = 0.5944564557673697 " " absolute error = 4.685141163918160600000000000000E-14 " " relative error = 7.88138663221321000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2979999999999674 " " y[1] (closed_form) = 0.5935408510426436 " " y[1] (numeric) = 0.5935408510425967 " " absolute error = 4.69624339416441200000000000000E-14 " " relative error = 7.91224965546138100000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2989999999999673 " " y[1] (closed_form) = 0.592627360064413 " " y[1] (numeric) = 0.5926273600643658 " " absolute error = 4.71844785465691530000000000000E-14 " " relative error = 7.961913628395533000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.2999999999999672 " " y[1] (closed_form) = 0.591715976331391 " " y[1] (numeric) = 0.5917159763313437 " " absolute error = 4.72955008490316700000000000000E-14 " " relative error = 7.992939643485947000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.300999999999967 " " y[1] (closed_form) = 0.5908066933672205 " " y[1] (numeric) = 0.5908066933671732 " " absolute error = 4.72955008490316700000000000000E-14 " " relative error = 8.005241203256779000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.301999999999967 " " y[1] (closed_form) = 0.5898995047204058 " " y[1] (numeric) = 0.5898995047203585 " " absolute error = 4.72955008490316700000000000000E-14 " " relative error = 8.017552222127782000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3029999999999669 " " y[1] (closed_form) = 0.588994403964198 " " y[1] (numeric) = 0.5889944039641505 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 8.067571632963265000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3039999999999667 " " y[1] (closed_form) = 0.5880913846964807 " " y[1] (numeric) = 0.5880913846964332 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 8.079959457063112000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3049999999999666 " " y[1] (closed_form) = 0.587190440539658 " " y[1] (numeric) = 0.5871904405396103 " " absolute error = 4.762856775641921600000000000000E-14 " " relative error = 8.11126416033717000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3059999999999665 " " y[1] (closed_form) = 0.5862915651405406 " " y[1] (numeric) = 0.5862915651404929 " " absolute error = 4.77395900588817300000000000000E-14 " " relative error = 8.142636342966665000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3069999999999664 " " y[1] (closed_form) = 0.5853947521702347 " " y[1] (numeric) = 0.5853947521701869 " " absolute error = 4.78506123613442470000000000000E-14 " " relative error = 8.174076071564975000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3079999999999663 " " y[1] (closed_form) = 0.5844999953240301 " " y[1] (numeric) = 0.5844999953239821 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 8.205583412745487000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3089999999999662 " " y[1] (closed_form) = 0.5836072883212896 " " y[1] (numeric) = 0.5836072883212414 " " absolute error = 4.818367926873179400000000000000E-14 " " relative error = 8.256181893706156000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.309999999999966 " " y[1] (closed_form) = 0.5827166249053388 " " y[1] (numeric) = 0.5827166249052904 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 8.306906273957817000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.310999999999966 " " y[1] (closed_form) = 0.5818279988433561 " " y[1] (numeric) = 0.5818279988433077 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 8.319593414185101000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3119999999999659 " " y[1] (closed_form) = 0.5809414039262647 " " y[1] (numeric) = 0.5809414039262161 " " absolute error = 4.862776847858185600000000000000E-14 " " relative error = 8.370511750399163000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3129999999999658 " " y[1] (closed_form) = 0.5800568339686226 " " y[1] (numeric) = 0.5800568339685739 " " absolute error = 4.87387907810443700000000000000E-14 " " relative error = 8.402416440400188000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3139999999999656 " " y[1] (closed_form) = 0.5791742828085159 " " y[1] (numeric) = 0.5791742828084672 " " absolute error = 4.87387907810443700000000000000E-14 " " relative error = 8.415220120738368000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3149999999999655 " " y[1] (closed_form) = 0.5782937443074513 " " y[1] (numeric) = 0.5782937443074024 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 8.447231802932277000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3159999999999654 " " y[1] (closed_form) = 0.5774152123502487 " " y[1] (numeric) = 0.5774152123501999 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 8.460084188754546000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3169999999999653 " " y[1] (closed_form) = 0.5765386808449363 " " y[1] (numeric) = 0.5765386808448872 " " absolute error = 4.90718576884319200000000000000E-14 " " relative error = 8.51145973701461000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3179999999999652 " " y[1] (closed_form) = 0.5756641437226432 " " y[1] (numeric) = 0.575664143722594 " " absolute error = 4.918287999089443500000000000000E-14 " " relative error = 8.543676122129799000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.318999999999965 " " y[1] (closed_form) = 0.574791594937496 " " y[1] (numeric) = 0.5747915949374467 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 8.575960874778844000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.319999999999965 " " y[1] (closed_form) = 0.5739210284665135 " " y[1] (numeric) = 0.5739210284664641 " " absolute error = 4.940492459581946600000000000000E-14 " " relative error = 8.608314061575125000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3209999999999649 " " y[1] (closed_form) = 0.5730524383095028 " " y[1] (numeric) = 0.5730524383094534 " " absolute error = 4.940492459581946600000000000000E-14 " " relative error = 8.621361902160881000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3219999999999648 " " y[1] (closed_form) = 0.5721858184889564 " " y[1] (numeric) = 0.5721858184889068 " " absolute error = 4.9626969200744500000000000000E-14 " " relative error = 8.673226004062932000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3229999999999646 " " y[1] (closed_form) = 0.5713211630499486 " " y[1] (numeric) = 0.5713211630498989 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 8.705784892981218000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3239999999999645 " " y[1] (closed_form) = 0.5704584660600337 " " y[1] (numeric) = 0.5704584660599838 " " absolute error = 4.98490138056695300000000000000E-14 " " relative error = 8.738412482500265000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3249999999999644 " " y[1] (closed_form) = 0.5695977216091441 " " y[1] (numeric) = 0.5695977216090943 " " absolute error = 4.98490138056695300000000000000E-14 " " relative error = 8.751617486257387000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3259999999999643 " " y[1] (closed_form) = 0.5687389238094894 " " y[1] (numeric) = 0.5687389238094395 " " absolute error = 4.996003610813204400000000000000E-14 " " relative error = 8.784353244805724000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3269999999999642 " " y[1] (closed_form) = 0.567882066795455 " " y[1] (numeric) = 0.5678820667954051 " " absolute error = 4.996003610813204400000000000000E-14 " " relative error = 8.797607642385211000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.327999999999964 " " y[1] (closed_form) = 0.5670271447235029 " " y[1] (numeric) = 0.5670271447234527 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 8.850031463225126000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.328999999999964 " " y[1] (closed_form) = 0.5661741517720708 " " y[1] (numeric) = 0.5661741517720206 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 8.863364842070587000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3299999999999639 " " y[1] (closed_form) = 0.5653230821414745 " " y[1] (numeric) = 0.5653230821414241 " " absolute error = 5.04041253179821100000000000000E-14 " " relative error = 8.915985727497372000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3309999999999638 " " y[1] (closed_form) = 0.5644739300538081 " " y[1] (numeric) = 0.5644739300537577 " " absolute error = 5.04041253179821100000000000000E-14 " " relative error = 8.929398265244485000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3319999999999637 " " y[1] (closed_form) = 0.5636266897528467 " " y[1] (numeric) = 0.5636266897527961 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 8.982216570529509000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3329999999999635 " " y[1] (closed_form) = 0.5627813555039479 " " y[1] (numeric) = 0.5627813555038974 " " absolute error = 5.05151476204446200000000000000E-14 " " relative error = 8.975981014013933000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3339999999999634 " " y[1] (closed_form) = 0.5619379215939566 " " y[1] (numeric) = 0.5619379215939058 " " absolute error = 5.08482145278321700000000000000E-14 " " relative error = 9.048724525228593000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3349999999999633 " " y[1] (closed_form) = 0.5610963823311058 " " y[1] (numeric) = 0.561096382331055 " " absolute error = 5.08482145278321700000000000000E-14 " " relative error = 9.06229591368606900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3359999999999632 " " y[1] (closed_form) = 0.560256732044923 " " y[1] (numeric) = 0.5602567320448723 " " absolute error = 5.073719222536965000000000000000E-14 " " relative error = 9.056061145428843000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.336999999999963 " " y[1] (closed_form) = 0.5594189650861339 " " y[1] (numeric) = 0.5594189650860829 " " absolute error = 5.095923683029469000000000000000E-14 " " relative error = 9.109315202148802000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.337999999999963 " " y[1] (closed_form) = 0.5585830758265662 " " y[1] (numeric) = 0.5585830758265152 " " absolute error = 5.095923683029469000000000000000E-14 " " relative error = 9.122946798000905000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3389999999999629 " " y[1] (closed_form) = 0.5577490586590572 " " y[1] (numeric) = 0.557749058659006 " " absolute error = 5.118128143521972000000000000000E-14 " " relative error = 9.176399429211048000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3399999999999628 " " y[1] (closed_form) = 0.5569169079973577 " " y[1] (numeric) = 0.5569169079973065 " " absolute error = 5.118128143521972000000000000000E-14 " " relative error = 9.190110894507543000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3409999999999627 " " y[1] (closed_form) = 0.5560866182760401 " " y[1] (numeric) = 0.5560866182759888 " " absolute error = 5.12923037376822300000000000000E-14 " " relative error = 9.223797525769781000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3419999999999626 " " y[1] (closed_form) = 0.5552581839504042 " " y[1] (numeric) = 0.5552581839503529 " " absolute error = 5.12923037376822300000000000000E-14 " " relative error = 9.237559250862599000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3429999999999624 " " y[1] (closed_form) = 0.5544315994963853 " " y[1] (numeric) = 0.5544315994963339 " " absolute error = 5.14033260401447500000000000000E-14 " " relative error = 9.271355760897586000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3439999999999623 " " y[1] (closed_form) = 0.553606859410462 " " y[1] (numeric) = 0.5536068594104103 " " absolute error = 5.16253706450697800000000000000E-14 " " relative error = 9.325276550952752000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3449999999999622 " " y[1] (closed_form) = 0.5527839582095639 " " y[1] (numeric) = 0.5527839582095122 " " absolute error = 5.173639294753230000000000000000E-14 " " relative error = 9.359242825190432000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3459999999999621 " " y[1] (closed_form) = 0.5519628904309816 " " y[1] (numeric) = 0.5519628904309299 " " absolute error = 5.16253706450697800000000000000E-14 " " relative error = 9.353051000359799000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.346999999999962 " " y[1] (closed_form) = 0.5511436506322756 " " y[1] (numeric) = 0.5511436506322238 " " absolute error = 5.173639294753230000000000000000E-14 " " relative error = 9.387097699153383000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.347999999999962 " " y[1] (closed_form) = 0.5503262333911854 " " y[1] (numeric) = 0.5503262333911336 " " absolute error = 5.173639294753230000000000000000E-14 " " relative error = 9.401040657052742000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3489999999999618 " " y[1] (closed_form) = 0.5495106333055408 " " y[1] (numeric) = 0.5495106333054891 " " absolute error = 5.173639294753230000000000000000E-14 " " relative error = 9.41499396223069000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3499999999999617 " " y[1] (closed_form) = 0.5486968449931725 " " y[1] (numeric) = 0.5486968449931205 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 9.46942524393480900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3509999999999616 " " y[1] (closed_form) = 0.5478848630918222 " " y[1] (numeric) = 0.5478848630917702 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 9.483459217917727000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3519999999999615 " " y[1] (closed_form) = 0.5470746822590558 " " y[1] (numeric) = 0.5470746822590037 " " absolute error = 5.20694598549198400000000000000E-14 " " relative error = 9.517797394664197000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3529999999999613 " " y[1] (closed_form) = 0.5462662971721745 " " y[1] (numeric) = 0.5462662971721224 " " absolute error = 5.20694598549198400000000000000E-14 " " relative error = 9.531882183554953000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3539999999999612 " " y[1] (closed_form) = 0.5454597025281278 " " y[1] (numeric) = 0.5454597025280756 " " absolute error = 5.21804821573823600000000000000E-14 " " relative error = 9.566331282683812000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3549999999999611 " " y[1] (closed_form) = 0.5446548930434266 " " y[1] (numeric) = 0.5446548930433743 " " absolute error = 5.22915044598448700000000000000E-14 " " relative error = 9.600850947588119000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.355999999999961 " " y[1] (closed_form) = 0.5438518634540561 " " y[1] (numeric) = 0.5438518634540038 " " absolute error = 5.22915044598448700000000000000E-14 " " relative error = 9.615027174447180000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.356999999999961 " " y[1] (closed_form) = 0.5430506085153907 " " y[1] (numeric) = 0.5430506085153382 " " absolute error = 5.251354906476990000000000000000E-14 " " relative error = 9.67010224117659000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3579999999999608 " " y[1] (closed_form) = 0.5422511230021071 " " y[1] (numeric) = 0.5422511230020545 " " absolute error = 5.26245713672324200000000000000E-14 " " relative error = 9.70483400308751900000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3589999999999607 " " y[1] (closed_form) = 0.5414534017081003 " " y[1] (numeric) = 0.5414534017080476 " " absolute error = 5.273559366969494000000000000000E-14 " " relative error = 9.73963659722742000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3599999999999606 " " y[1] (closed_form) = 0.5406574394463982 " " y[1] (numeric) = 0.5406574394463454 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 9.774510090209674000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3609999999999605 " " y[1] (closed_form) = 0.5398632310490774 " " y[1] (numeric) = 0.5398632310490246 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 9.788889654415698000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3619999999999604 " " y[1] (closed_form) = 0.5390707713671795 " " y[1] (numeric) = 0.5390707713671267 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 9.803279787944914000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3629999999999602 " " y[1] (closed_form) = 0.5382800552706275 " " y[1] (numeric) = 0.5382800552705745 " " absolute error = 5.29576382746199700000000000000E-14 " " relative error = 9.838305869979671000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3639999999999601 " " y[1] (closed_form) = 0.5374910776481425 " " y[1] (numeric) = 0.5374910776480895 " " absolute error = 5.30686605770824800000000000000E-14 " " relative error = 9.873403072901388000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.36499999999996 " " y[1] (closed_form) = 0.5367038334071615 " " y[1] (numeric) = 0.5367038334071085 " " absolute error = 5.30686605770824800000000000000E-14 " " relative error = 9.887885510372872000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.36599999999996 " " y[1] (closed_form) = 0.5359183174737553 " " y[1] (numeric) = 0.5359183174737022 " " absolute error = 5.30686605770824800000000000000E-14 " " relative error = 9.902378561576473000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3669999999999598 " " y[1] (closed_form) = 0.5351345247925464 " " y[1] (numeric) = 0.5351345247924932 " " absolute error = 5.317968287954500000000000000E-14 " " relative error = 9.937628842048821000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3679999999999597 " " y[1] (closed_form) = 0.5343524503266277 " " y[1] (numeric) = 0.5343524503265744 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 9.972950465452735000000000000E-12 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3689999999999596 " " y[1] (closed_form) = 0.5335720890574818 " " y[1] (numeric) = 0.5335720890574284 " " absolute error = 5.34017274844700300000000000000E-14 " " relative error = 1.000834349840159100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3699999999999595 " " y[1] (closed_form) = 0.5327934359849003 " " y[1] (numeric) = 0.5327934359848467 " " absolute error = 5.351274978693255000000000000000E-14 " " relative error = 1.004380800750877400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3709999999999594 " " y[1] (closed_form) = 0.5320164861269036 " " y[1] (numeric) = 0.5320164861268502 " " absolute error = 5.34017274844700300000000000000E-14 " " relative error = 1.00376076450630790000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3719999999999593 " " y[1] (closed_form) = 0.5312412345196619 " " y[1] (numeric) = 0.5312412345196084 " " absolute error = 5.351274978693255000000000000000E-14 " " relative error = 1.007315439949192800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3729999999999591 " " y[1] (closed_form) = 0.5304676762174151 " " y[1] (numeric) = 0.5304676762173614 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.012970192171220600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.373999999999959 " " y[1] (closed_form) = 0.5296958062923941 " " y[1] (numeric) = 0.5296958062923401 " " absolute error = 5.39568389967826100000000000000E-14 " " relative error = 1.018638213778838700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.374999999999959 " " y[1] (closed_form) = 0.5289256198347424 " " y[1] (numeric) = 0.5289256198346884 " " absolute error = 5.39568389967826100000000000000E-14 " " relative error = 1.020121487282860100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3759999999999588 " " y[1] (closed_form) = 0.5281571119524383 " " y[1] (numeric) = 0.5281571119523844 " " absolute error = 5.39568389967826100000000000000E-14 " " relative error = 1.021605839923661500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3769999999999587 " " y[1] (closed_form) = 0.5273902777712169 " " y[1] (numeric) = 0.527390277771163 " " absolute error = 5.39568389967826100000000000000E-14 " " relative error = 1.023091271701242800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3779999999999586 " " y[1] (closed_form) = 0.5266251124344932 " " y[1] (numeric) = 0.526625112434439 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.028794152091388200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3789999999999585 " " y[1] (closed_form) = 0.5258616111032841 " " y[1] (numeric) = 0.5258616111032298 " " absolute error = 5.428990590417015000000000000000E-14 " " relative error = 1.03239910953505800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3799999999999584 " " y[1] (closed_form) = 0.5250997689561333 " " y[1] (numeric) = 0.525099768956079 " " absolute error = 5.428990590417015000000000000000E-14 " " relative error = 1.033896968038954100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3809999999999583 " " y[1] (closed_form) = 0.5243395811890346 " " y[1] (numeric) = 0.5243395811889802 " " absolute error = 5.44009282066326700000000000000E-14 " " relative error = 1.037513286394835100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3819999999999582 " " y[1] (closed_form) = 0.5235810430153559 " " y[1] (numeric) = 0.5235810430153014 " " absolute error = 5.451195050909519000000000000000E-14 " " relative error = 1.04113682564126800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.382999999999958 " " y[1] (closed_form) = 0.5228241496657641 " " y[1] (numeric) = 0.5228241496657096 " " absolute error = 5.451195050909519000000000000000E-14 " " relative error = 1.042644081072844300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.383999999999958 " " y[1] (closed_form) = 0.5220688963881503 " " y[1] (numeric) = 0.5220688963880956 " " absolute error = 5.47339951140202200000000000000E-14 " " relative error = 1.048405593451143100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3849999999999578 " " y[1] (closed_form) = 0.5213152784475549 " " y[1] (numeric) = 0.5213152784475001 " " absolute error = 5.47339951140202200000000000000E-14 " " relative error = 1.049921177775850200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3859999999999577 " " y[1] (closed_form) = 0.5205632911260935 " " y[1] (numeric) = 0.5205632911260386 " " absolute error = 5.48450174164827300000000000000E-14 " " relative error = 1.053570590769872300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3869999999999576 " " y[1] (closed_form) = 0.5198129297228832 " " y[1] (numeric) = 0.5198129297228282 " " absolute error = 5.49560397189452500000000000000E-14 " " relative error = 1.05722725574069100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3879999999999575 " " y[1] (closed_form) = 0.5190641895539688 " " y[1] (numeric) = 0.5190641895539138 " " absolute error = 5.506706202140776000000000000000E-14 " " relative error = 1.06089117934964500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3889999999999574 " " y[1] (closed_form) = 0.5183170659522502 " " y[1] (numeric) = 0.5183170659521951 " " absolute error = 5.51780843238702800000000000000E-14 " " relative error = 1.064562368258072000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3899999999999573 " " y[1] (closed_form) = 0.5175715542674092 " " y[1] (numeric) = 0.517571554267354 " " absolute error = 5.51780843238702800000000000000E-14 " " relative error = 1.066095767221432300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3909999999999572 " " y[1] (closed_form) = 0.5168276498658375 " " y[1] (numeric) = 0.5168276498657822 " " absolute error = 5.528910662633280000000000000000E-14 " " relative error = 1.069778419182588300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.391999999999957 " " y[1] (closed_form) = 0.5160853481305643 " " y[1] (numeric) = 0.5160853481305089 " " absolute error = 5.54001289287953100000000000000E-14 " " relative error = 1.073468354206786200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.392999999999957 " " y[1] (closed_form) = 0.5153446444611849 " " y[1] (numeric) = 0.5153446444611295 " " absolute error = 5.54001289287953100000000000000E-14 " " relative error = 1.07501124779745300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3939999999999568 " " y[1] (closed_form) = 0.5146055342737897 " " y[1] (numeric) = 0.5146055342737341 " " absolute error = 5.56221735337203400000000000000E-14 " " relative error = 1.080870100089658700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3949999999999567 " " y[1] (closed_form) = 0.5138680130008926 " " y[1] (numeric) = 0.513868013000837 " " absolute error = 5.56221735337203400000000000000E-14 " " relative error = 1.082421402509514100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3959999999999566 " " y[1] (closed_form) = 0.5131320760913611 " " y[1] (numeric) = 0.5131320760913055 " " absolute error = 5.56221735337203400000000000000E-14 " " relative error = 1.083973817372840100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3969999999999565 " " y[1] (closed_form) = 0.512397719010346 " " y[1] (numeric) = 0.5123977190102902 " " absolute error = 5.584421813864537000000000000000E-14 " " relative error = 1.089860787173367600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3979999999999564 " " y[1] (closed_form) = 0.5116649372392107 " " y[1] (numeric) = 0.5116649372391548 " " absolute error = 5.584421813864537000000000000000E-14 " " relative error = 1.091421633070342700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3989999999999563 " " y[1] (closed_form) = 0.510933726275463 " " y[1] (numeric) = 0.5109337262754071 " " absolute error = 5.584421813864537000000000000000E-14 " " relative error = 1.092983595851680400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.3999999999999562 " " y[1] (closed_form) = 0.5102040816326849 " " y[1] (numeric) = 0.510204081632629 " " absolute error = 5.59552404411078900000000000000E-14 " " relative error = 1.096722712645646100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.400999999999956 " " y[1] (closed_form) = 0.5094759988404646 " " y[1] (numeric) = 0.5094759988404085 " " absolute error = 5.606626274357040000000000000000E-14 " " relative error = 1.100469165793358400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.401999999999956 " " y[1] (closed_form) = 0.508749473444327 " " y[1] (numeric) = 0.5087494734442708 " " absolute error = 5.61772850460329200000000000000E-14 " " relative error = 1.104222961956155500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4029999999999558 " " y[1] (closed_form) = 0.5080245010056664 " " y[1] (numeric) = 0.5080245010056103 " " absolute error = 5.61772850460329200000000000000E-14 " " relative error = 1.105798734801696600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4039999999999557 " " y[1] (closed_form) = 0.5073010771016788 " " y[1] (numeric) = 0.5073010771016225 " " absolute error = 5.628830734849544000000000000000E-14 " " relative error = 1.10956412058264800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4049999999999556 " " y[1] (closed_form) = 0.5065791973252938 " " y[1] (numeric) = 0.5065791973252374 " " absolute error = 5.63993296509579500000000000000E-14 " " relative error = 1.113336867142252600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4059999999999555 " " y[1] (closed_form) = 0.5058588572851077 " " y[1] (numeric) = 0.5058588572850512 " " absolute error = 5.65103519534204700000000000000E-14 " " relative error = 1.117116981141848400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4069999999999554 " " y[1] (closed_form) = 0.5051400526053171 " " y[1] (numeric) = 0.5051400526052605 " " absolute error = 5.662137425588298000000000000000E-14 " " relative error = 1.120904469242773700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4079999999999553 " " y[1] (closed_form) = 0.5044227789256518 " " y[1] (numeric) = 0.5044227789255952 " " absolute error = 5.662137425588298000000000000000E-14 " " relative error = 1.122498360928076800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4089999999999552 " " y[1] (closed_form) = 0.5037070319013095 " " y[1] (numeric) = 0.5037070319012528 " " absolute error = 5.6732396558345500000000000000E-14 " " relative error = 1.126297489717415400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.409999999999955 " " y[1] (closed_form) = 0.502992807202889 " " y[1] (numeric) = 0.5029928072028322 " " absolute error = 5.6732396558345500000000000000E-14 " " relative error = 1.127896775976395100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.410999999999955 " " y[1] (closed_form) = 0.5022801005163258 " " y[1] (numeric) = 0.5022801005162689 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 1.131707563217715200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4119999999999548 " " y[1] (closed_form) = 0.5015689075428259 " " y[1] (numeric) = 0.501568907542769 " " absolute error = 5.69544411632705300000000000000E-14 " " relative error = 1.13552575342616400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4129999999999547 " " y[1] (closed_form) = 0.500859223998802 " " y[1] (numeric) = 0.5008592239987449 " " absolute error = 5.70654634657330500000000000000E-14 " " relative error = 1.139351353263078500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4139999999999546 " " y[1] (closed_form) = 0.500151045615808 " " y[1] (numeric) = 0.500151045615751 " " absolute error = 5.70654634657330500000000000000E-14 " " relative error = 1.140964593915254800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4149999999999545 " " y[1] (closed_form) = 0.4994443681404758 " " y[1] (numeric) = 0.4994443681404187 " " absolute error = 5.7120974616964300000000000000E-14 " " relative error = 1.143690434024440100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4159999999999544 " " y[1] (closed_form) = 0.49873918733445066 " " y[1] (numeric) = 0.4987391873343935 " " absolute error = 5.71764857681955600000000000000E-14 " " relative error = 1.146420558484277400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4169999999999543 " " y[1] (closed_form) = 0.4980354989743281 " " y[1] (numeric) = 0.49803549897427074 " " absolute error = 5.73430192218893400000000000000E-14 " " relative error = 1.151384175224127200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4179999999999542 " " y[1] (closed_form) = 0.49733329885159006 " " y[1] (numeric) = 0.4973332988515327 " " absolute error = 5.73430192218893400000000000000E-14 " " relative error = 1.153009849819067600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.418999999999954 " " y[1] (closed_form) = 0.49663258277254313 " " y[1] (numeric) = 0.4966325827724857 " " absolute error = 5.74540415243518500000000000000E-14 " " relative error = 1.156872173058079600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.419999999999954 " " y[1] (closed_form) = 0.4959333465582547 " " y[1] (numeric) = 0.4959333465581972 " " absolute error = 5.75095526755831100000000000000E-14 " " relative error = 1.159622620150382700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4209999999999539 " " y[1] (closed_form) = 0.4952355860444914 " " y[1] (numeric) = 0.49523558604443385 " " absolute error = 5.75650638268143700000000000000E-14 " " relative error = 1.162377370467129200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4219999999999537 " " y[1] (closed_form) = 0.49453929708165684 " " y[1] (numeric) = 0.4945392970815992 " " absolute error = 5.76205749780456200000000000000E-14 " " relative error = 1.165136427338988300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4229999999999536 " " y[1] (closed_form) = 0.49384447553472993 " " y[1] (numeric) = 0.4938444755346722 " " absolute error = 5.77315972805081400000000000000E-14 " " relative error = 1.169023855496144500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4239999999999535 " " y[1] (closed_form) = 0.4931511172832035 " " y[1] (numeric) = 0.4931511172831457 " " absolute error = 5.7787108431739400000000000000E-14 " " relative error = 1.171793115872711600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4249999999999534 " " y[1] (closed_form) = 0.4924592182210233 " " y[1] (numeric) = 0.4924592182209654 " " absolute error = 5.78981307342019100000000000000E-14 " " relative error = 1.175693917221310900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4259999999999533 " " y[1] (closed_form) = 0.491768774256527 " " y[1] (numeric) = 0.49176877425646903 " " absolute error = 5.79536418854331700000000000000E-14 " " relative error = 1.178473398866153900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4269999999999532 " " y[1] (closed_form) = 0.49107978131238406 " " y[1] (numeric) = 0.49107978131232594 " " absolute error = 5.81201753391269400000000000000E-14 " " relative error = 1.183517985281412600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.427999999999953 " " y[1] (closed_form) = 0.49039223532553505 " " y[1] (numeric) = 0.4903922353254768 " " absolute error = 5.82311976415894600000000000000E-14 " " relative error = 1.187441265315591400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.428999999999953 " " y[1] (closed_form) = 0.48970613224713205 " " y[1] (numeric) = 0.4897061322470738 " " absolute error = 5.82311976415894600000000000000E-14 " " relative error = 1.189104930632211600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4299999999999529 " " y[1] (closed_form) = 0.4890214680424793 " " y[1] (numeric) = 0.48902146804242097 " " absolute error = 5.83422199440519800000000000000E-14 " " relative error = 1.193040055635840200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4309999999999528 " " y[1] (closed_form) = 0.48833823869097326 " " y[1] (numeric) = 0.4883382386909148 " " absolute error = 5.84532422465144900000000000000E-14 " " relative error = 1.196982697959568400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4319999999999526 " " y[1] (closed_form) = 0.4876564401860439 " " y[1] (numeric) = 0.4876564401859854 " " absolute error = 5.85087533977457500000000000000E-14 " " relative error = 1.199794539274910400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4329999999999525 " " y[1] (closed_form) = 0.4869760685350962 " " y[1] (numeric) = 0.48697606853503766 " " absolute error = 5.85087533977457500000000000000E-14 " " relative error = 1.201470815059755800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4339999999999524 " " y[1] (closed_form) = 0.48629711975945134 " " y[1] (numeric) = 0.4862971197593927 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 1.205431274797694900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4349999999999523 " " y[1] (closed_form) = 0.4856195898942886 " " y[1] (numeric) = 0.4856195898942299 " " absolute error = 5.87307980026707800000000000000E-14 " " relative error = 1.209399275170417200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4359999999999522 " " y[1] (closed_form) = 0.48494347498858753 " " y[1] (numeric) = 0.4849434749885288 " " absolute error = 5.87307980026707800000000000000E-14 " " relative error = 1.211085436381073600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.436999999999952 " " y[1] (closed_form) = 0.4842687711050706 " " y[1] (numeric) = 0.48426877110501176 " " absolute error = 5.8841820305133300000000000000E-14 " " relative error = 1.215065348336627100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.437999999999952 " " y[1] (closed_form) = 0.4835954743201453 " " y[1] (numeric) = 0.4835954743200864 " " absolute error = 5.88973314563645500000000000000E-14 " " relative error = 1.21790493468046600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4389999999999519 " " y[1] (closed_form) = 0.4829235807238478 " " y[1] (numeric) = 0.48292358072378877 " " absolute error = 5.90083537588270700000000000000E-14 " " relative error = 1.2218983730382399000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4399999999999518 " " y[1] (closed_form) = 0.4822530864197854 " " y[1] (numeric) = 0.48225308641972625 " " absolute error = 5.91748872125208400000000000000E-14 " " relative error = 1.227050461238749900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4409999999999517 " " y[1] (closed_form) = 0.48158398752508064 " " y[1] (numeric) = 0.48158398752502146 " " absolute error = 5.91748872125208400000000000000E-14 " " relative error = 1.228755289739342600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4419999999999515 " " y[1] (closed_form) = 0.4809162801703152 " " y[1] (numeric) = 0.48091628017025584 " " absolute error = 5.93414206662146200000000000000E-14 " " relative error = 1.233924138421743900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4429999999999514 " " y[1] (closed_form) = 0.48024996049947305 " " y[1] (numeric) = 0.4802499604994137 " " absolute error = 5.93414206662146200000000000000E-14 " " relative error = 1.235636138407964200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4439999999999513 " " y[1] (closed_form) = 0.479585024669886 " " y[1] (numeric) = 0.47958502466982655 " " absolute error = 5.94524429686771300000000000000E-14 " " relative error = 1.239664291219272100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4449999999999512 " " y[1] (closed_form) = 0.4789214688521773 " " y[1] (numeric) = 0.4789214688521178 " " absolute error = 5.95079541199083900000000000000E-14 " " relative error = 1.242540959012133500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.445999999999951 " " y[1] (closed_form) = 0.4782592892302071 " " y[1] (numeric) = 0.4782592892301475 " " absolute error = 5.9618976422370910000000000000E-14 " " relative error = 1.246582717051496500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.446999999999951 " " y[1] (closed_form) = 0.4775984820010172 " " y[1] (numeric) = 0.4775984820009575 " " absolute error = 5.96744875736021600000000000000E-14 " " relative error = 1.24946979151987910000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4479999999999509 " " y[1] (closed_form) = 0.4769390433747767 " " y[1] (numeric) = 0.476939043374717 " " absolute error = 5.97299987248334200000000000000E-14 " " relative error = 1.252361272463446400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4489999999999508 " " y[1] (closed_form) = 0.47628096957472776 " " y[1] (numeric) = 0.4762809695746679 " " absolute error = 5.98410210272959400000000000000E-14 " " relative error = 1.256422675899230300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4499999999999507 " " y[1] (closed_form) = 0.47562425683713105 " " y[1] (numeric) = 0.47562425683707116 " " absolute error = 5.9896532178527200000000000000E-14 " " relative error = 1.259324589053448500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4509999999999506 " " y[1] (closed_form) = 0.4749689014112125 " " y[1] (numeric) = 0.4749689014111525 " " absolute error = 6.00075544809897100000000000000E-14 " " relative error = 1.26339965211821600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4519999999999504 " " y[1] (closed_form) = 0.4743148995591092 " " y[1] (numeric) = 0.4743148995590492 " " absolute error = 6.00075544809897100000000000000E-14 " " relative error = 1.265141671424799000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4529999999999503 " " y[1] (closed_form) = 0.4736622475558167 " " y[1] (numeric) = 0.47366224755575664 " " absolute error = 6.00630656322209700000000000000E-14 " " relative error = 1.268056847303269400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4539999999999502 " " y[1] (closed_form) = 0.4730109416891356 " " y[1] (numeric) = 0.4730109416890753 " " absolute error = 6.028511023714600000000000000E-14 " " relative error = 1.27449716114105400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.45499999999995 " " y[1] (closed_form) = 0.4723609782596183 " " y[1] (numeric) = 0.4723609782595581 " " absolute error = 6.02295990859147400000000000000E-14 " " relative error = 1.275075670048499400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.45599999999995 " " y[1] (closed_form) = 0.4717123535805178 " " y[1] (numeric) = 0.4717123535804575 " " absolute error = 6.028511023714600000000000000E-14 " " relative error = 1.278005754556855700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.45699999999995 " " y[1] (closed_form) = 0.4710650639777341 " " y[1] (numeric) = 0.4710650639776736 " " absolute error = 6.05071548420710300000000000000E-14 " " relative error = 1.284475531493268200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4579999999999498 " " y[1] (closed_form) = 0.47041910578976265 " " y[1] (numeric) = 0.4704191057897021 " " absolute error = 6.05626659933022900000000000000E-14 " " relative error = 1.287419351125773700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4589999999999497 " " y[1] (closed_form) = 0.4697744753676427 " " y[1] (numeric) = 0.4697744753675821 " " absolute error = 6.06181771445335500000000000000E-14 " " relative error = 1.29036761942193900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4599999999999496 " " y[1] (closed_form) = 0.46913116907490565 " " y[1] (numeric) = 0.4691311690748451 " " absolute error = 6.05626659933022900000000000000E-14 " " relative error = 1.290953788313142800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4609999999999495 " " y[1] (closed_form) = 0.46848918328752415 " " y[1] (numeric) = 0.46848918328746336 " " absolute error = 6.07847105982273200000000000000E-14 " " relative error = 1.297462412508297900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4619999999999493 " " y[1] (closed_form) = 0.4678485143938598 " " y[1] (numeric) = 0.46784851439379904 " " absolute error = 6.07847105982273200000000000000E-14 " " relative error = 1.29923914959908400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4629999999999492 " " y[1] (closed_form) = 0.4672091587946141 " " y[1] (numeric) = 0.46720915879455327 " " absolute error = 6.08402217494585800000000000000E-14 " " relative error = 1.302205245856578600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4639999999999491 " " y[1] (closed_form) = 0.46657111290277664 " " y[1] (numeric) = 0.4665711129027157 " " absolute error = 6.0951244051921090000000000000E-14 " " relative error = 1.30636557571497200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.464999999999949 " " y[1] (closed_form) = 0.4659343731435752 " " y[1] (numeric) = 0.46593437314351416 " " absolute error = 6.10622663543836100000000000000E-14 " " relative error = 1.310533626064278300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.465999999999949 " " y[1] (closed_form) = 0.4652989359544257 " " y[1] (numeric) = 0.4652989359543646 " " absolute error = 6.10622663543836100000000000000E-14 " " relative error = 1.312323361091125300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4669999999999488 " " y[1] (closed_form) = 0.4646647977848825 " " y[1] (numeric) = 0.4646647977848213 " " absolute error = 6.12287998080773800000000000000E-14 " " relative error = 1.31769826550156200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4679999999999487 " " y[1] (closed_form) = 0.46403195509658823 " " y[1] (numeric) = 0.464031955096527 " " absolute error = 6.12287998080773800000000000000E-14 " " relative error = 1.319495330775929000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4689999999999486 " " y[1] (closed_form) = 0.4634004043632254 " " y[1] (numeric) = 0.46340040436316404 " " absolute error = 6.1339822110539900000000000000E-14 " " relative error = 1.323689438614735000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4699999999999485 " " y[1] (closed_form) = 0.4627701420704661 " " y[1] (numeric) = 0.46277014207040473 " " absolute error = 6.1339822110539900000000000000E-14 " " relative error = 1.325492215986563700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4709999999999483 " " y[1] (closed_form) = 0.46214116471592415 " " y[1] (numeric) = 0.46214116471586286 " " absolute error = 6.12843109593086400000000000000E-14 " " relative error = 1.326095047104921000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4719999999999482 " " y[1] (closed_form) = 0.4615134688091062 " " y[1] (numeric) = 0.46151346880904476 " " absolute error = 6.14508444130024100000000000000E-14 " " relative error = 1.331507064605736400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4729999999999481 " " y[1] (closed_form) = 0.4608870508713625 " " y[1] (numeric) = 0.460887050871301 " " absolute error = 6.15063555642336700000000000000E-14 " " relative error = 1.334521233520197500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.473999999999948 " " y[1] (closed_form) = 0.46026190743583967 " " y[1] (numeric) = 0.46026190743577816 " " absolute error = 6.15063555642336700000000000000E-14 " " relative error = 1.336333825818675500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.474999999999948 " " y[1] (closed_form) = 0.45963803504743267 " " y[1] (numeric) = 0.459638035047371 " " absolute error = 6.16728890179274500000000000000E-14 " " relative error = 1.34177079169618900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4759999999999478 " " y[1] (closed_form) = 0.4590154302627362 " " y[1] (numeric) = 0.4590154302626745 " " absolute error = 6.1728400169158700000000000000E-14 " " relative error = 1.344800111269155400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4769999999999477 " " y[1] (closed_form) = 0.4583940896499981 " " y[1] (numeric) = 0.4583940896499364 " " absolute error = 6.1728400169158700000000000000E-14 " " relative error = 1.34662295092615100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4779999999999476 " " y[1] (closed_form) = 0.45777400978907185 " " y[1] (numeric) = 0.45777400978901006 " " absolute error = 6.17839113203899600000000000000E-14 " " relative error = 1.34965965736801200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4789999999999475 " " y[1] (closed_form) = 0.4571551872713691 " " y[1] (numeric) = 0.4571551872713073 " " absolute error = 6.18394224716212200000000000000E-14 " " relative error = 1.352700881307360000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4799999999999474 " " y[1] (closed_form) = 0.4565376186998134 " " y[1] (numeric) = 0.4565376186997514 " " absolute error = 6.20059559253149900000000000000E-14 " " relative error = 1.35817845858800300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4809999999999472 " " y[1] (closed_form) = 0.4559213006887927 " " y[1] (numeric) = 0.45592130068873077 " " absolute error = 6.19504447740837300000000000000E-14 " " relative error = 1.358796895001194200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4819999999999471 " " y[1] (closed_form) = 0.4553062298641144 " " y[1] (numeric) = 0.4553062298640524 " " absolute error = 6.20059559253149900000000000000E-14 " " relative error = 1.361851691417018400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.482999999999947 " " y[1] (closed_form) = 0.4546924028629577 " " y[1] (numeric) = 0.4546924028628956 " " absolute error = 6.21169782277775100000000000000E-14 " " relative error = 1.366131869295808300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.483999999999947 " " y[1] (closed_form) = 0.4540798163338283 " " y[1] (numeric) = 0.45407981633376615 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 1.369197377698485300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4849999999999468 " " y[1] (closed_form) = 0.45346846693651294 " " y[1] (numeric) = 0.4534684669364506 " " absolute error = 6.23390228327025400000000000000E-14 " " relative error = 1.37471571626236600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4859999999999467 " " y[1] (closed_form) = 0.45285835134203295 " " y[1] (numeric) = 0.45285835134197056 " " absolute error = 6.2394533983933800000000000000E-14 " " relative error = 1.377793603651768000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4869999999999466 " " y[1] (closed_form) = 0.45224946623260004 " " y[1] (numeric) = 0.45224946623253753 " " absolute error = 6.25055562863963100000000000000E-14 " " relative error = 1.38210348388224700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4879999999999465 " " y[1] (closed_form) = 0.45164180830157025 " " y[1] (numeric) = 0.45164180830150774 " " absolute error = 6.25055562863963100000000000000E-14 " " relative error = 1.383963024181767100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4889999999999464 " " y[1] (closed_form) = 0.45103537425339973 " " y[1] (numeric) = 0.45103537425333723 " " absolute error = 6.25055562863963100000000000000E-14 " " relative error = 1.385823814592413200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4899999999999463 " " y[1] (closed_form) = 0.45043016080359993 " " y[1] (numeric) = 0.45043016080353726 " " absolute error = 6.26720897400900900000000000000E-14 " " relative error = 1.391383064319639500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4909999999999461 " " y[1] (closed_form) = 0.4498261646786924 " " y[1] (numeric) = 0.44982616467862974 " " absolute error = 6.26720897400900900000000000000E-14 " " relative error = 1.393251319314791300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.491999999999946 " " y[1] (closed_form) = 0.4492233826161657 " " y[1] (numeric) = 0.44922338261610295 " " absolute error = 6.27276008913213400000000000000E-14 " " relative error = 1.396356541505282800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.492999999999946 " " y[1] (closed_form) = 0.44862181136443047 " " y[1] (numeric) = 0.4486218113643677 " " absolute error = 6.2783112042552600000000000000E-14 " " relative error = 1.399466331153297000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4939999999999458 " " y[1] (closed_form) = 0.448021447682776 " " y[1] (numeric) = 0.44802144768271307 " " absolute error = 6.29496454962463800000000000000E-14 " " relative error = 1.405058749348495600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4949999999999457 " " y[1] (closed_form) = 0.44742228834132625 " " y[1] (numeric) = 0.44742228834126324 " " absolute error = 6.30051566474776300000000000000E-14 " " relative error = 1.408181002360184600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4959999999999456 " " y[1] (closed_form) = 0.4468243301209968 " " y[1] (numeric) = 0.44682433012093375 " " absolute error = 6.30606677987088900000000000000E-14 " " relative error = 1.4113078350418500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4969999999999455 " " y[1] (closed_form) = 0.4462275698134514 " " y[1] (numeric) = 0.4462275698133883 " " absolute error = 6.31161789499401500000000000000E-14 " " relative error = 1.41443925072416100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4979999999999454 " " y[1] (closed_form) = 0.4456320042210588 " " y[1] (numeric) = 0.4456320042209957 " " absolute error = 6.31161789499401500000000000000E-14 " " relative error = 1.416329580283711700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4989999999999453 " " y[1] (closed_form) = 0.44503763015685033 " " y[1] (numeric) = 0.4450376301567872 " " absolute error = 6.31161789499401500000000000000E-14 " " relative error = 1.418221172166841400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.4999999999999452 " " y[1] (closed_form) = 0.44444444444447695 " " y[1] (numeric) = 0.44444444444441367 " " absolute error = 6.32827124036339200000000000000E-14 " " relative error = 1.42386102908165920000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.500999999999945 " " y[1] (closed_form) = 0.4438524439181666 " " y[1] (numeric) = 0.44385244391810325 " " absolute error = 6.33382235548651800000000000000E-14 " " relative error = 1.427010810073243700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.501999999999945 " " y[1] (closed_form) = 0.4432616254226824 " " y[1] (numeric) = 0.44326162542261904 " " absolute error = 6.33382235548651800000000000000E-14 " " relative error = 1.428912856926596300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5029999999999448 " " y[1] (closed_form) = 0.44267198581328077 " " y[1] (numeric) = 0.4426719858132172 " " absolute error = 6.35602681597902100000000000000E-14 " " relative error = 1.435832178153689500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5039999999999447 " " y[1] (closed_form) = 0.4420835219556685 " " y[1] (numeric) = 0.44208352195560496 " " absolute error = 6.35602681597902100000000000000E-14 " " relative error = 1.437743435417254700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5049999999999446 " " y[1] (closed_form) = 0.44149623072596267 " " y[1] (numeric) = 0.44149623072589905 " " absolute error = 6.36157793110214700000000000000E-14 " " relative error = 1.440913305339357700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5059999999999445 " " y[1] (closed_form) = 0.44091010901064787 " " y[1] (numeric) = 0.44091010901058414 " " absolute error = 6.37268016134839900000000000000E-14 " " relative error = 1.445346802242291300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5069999999999444 " " y[1] (closed_form) = 0.44032515370653547 " " y[1] (numeric) = 0.44032515370647174 " " absolute error = 6.37268016134839900000000000000E-14 " " relative error = 1.447266890774905300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5079999999999443 " " y[1] (closed_form) = 0.4397413617207229 " " y[1] (numeric) = 0.43974136172065903 " " absolute error = 6.38933350671777600000000000000E-14 " " relative error = 1.452975331161957800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5089999999999442 " " y[1] (closed_form) = 0.43915872997055183 " " y[1] (numeric) = 0.4391587299704879 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 1.456167026958502300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.509999999999944 " " y[1] (closed_form) = 0.4385772553835684 " " y[1] (numeric) = 0.43857725538350434 " " absolute error = 6.40598685208715300000000000000E-14 " " relative error = 1.46062906214428300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.510999999999944 " " y[1] (closed_form) = 0.4379969348974821 " " y[1] (numeric) = 0.43799693489741803 " " absolute error = 6.40598685208715300000000000000E-14 " " relative error = 1.46256431077229880000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5119999999999438 " " y[1] (closed_form) = 0.437417765460126 " " y[1] (numeric) = 0.4374177654600619 " " absolute error = 6.41153796721027900000000000000E-14 " " relative error = 1.465769905450888500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5129999999999437 " " y[1] (closed_form) = 0.4368397440294161 " " y[1] (numeric) = 0.43683974402935194 " " absolute error = 6.41708908233340500000000000000E-14 " " relative error = 1.468980139751498700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5139999999999436 " " y[1] (closed_form) = 0.4362628675733116 " " y[1] (numeric) = 0.43626286757324734 " " absolute error = 6.42819131257965600000000000000E-14 " " relative error = 1.47346744139287400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5149999999999435 " " y[1] (closed_form) = 0.43568713306977513 " " y[1] (numeric) = 0.4356871330697108 " " absolute error = 6.43374242770278200000000000000E-14 " " relative error = 1.476688646362301600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5159999999999434 " " y[1] (closed_form) = 0.43511253750673323 " " y[1] (numeric) = 0.43511253750666884 " " absolute error = 6.43929354282590800000000000000E-14 " " relative error = 1.479914502055979500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5169999999999433 " " y[1] (closed_form) = 0.43453907788203683 " " y[1] (numeric) = 0.43453907788197244 " " absolute error = 6.43929354282590800000000000000E-14 " " relative error = 1.481867539787518300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5179999999999432 " " y[1] (closed_form) = 0.43396675120342226 " " y[1] (numeric) = 0.43396675120335776 " " absolute error = 6.4503957730721600000000000000E-14 " " relative error = 1.486380178938761800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.518999999999943 " " y[1] (closed_form) = 0.4333955544884719 " " y[1] (numeric) = 0.4333955544884073 " " absolute error = 6.46149800331841100000000000000E-14 " " relative error = 1.490900849443365600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.519999999999943 " " y[1] (closed_form) = 0.43282548476457544 " " y[1] (numeric) = 0.43282548476451077 " " absolute error = 6.46704911844153700000000000000E-14 " " relative error = 1.494147028324620500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5209999999999428 " " y[1] (closed_form) = 0.4322565390688914 " " y[1] (numeric) = 0.43225653906882666 " " absolute error = 6.47260023356466300000000000000E-14 " " relative error = 1.49739787569369400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5219999999999427 " " y[1] (closed_form) = 0.4316887144483085 " " y[1] (numeric) = 0.43168871444824364 " " absolute error = 6.48370246381091400000000000000E-14 " " relative error = 1.501939301817743200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5229999999999426 " " y[1] (closed_form) = 0.431122007959407 " " y[1] (numeric) = 0.4311220079593422 " " absolute error = 6.48370246381091400000000000000E-14 " " relative error = 1.503913589217973400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5239999999999425 " " y[1] (closed_form) = 0.4305564166684214 " " y[1] (numeric) = 0.43055641666835653 " " absolute error = 6.4892535789340400000000000000E-14 " " relative error = 1.50717846203451700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5249999999999424 " " y[1] (closed_form) = 0.4299919376512016 " " y[1] (numeric) = 0.42999193765113664 " " absolute error = 6.49480469405716600000000000000E-14 " " relative error = 1.510448016661555500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5259999999999423 " " y[1] (closed_form) = 0.4294285679931754 " " y[1] (numeric) = 0.4294285679931104 " " absolute error = 6.50035580918029200000000000000E-14 " " relative error = 1.513722256429757800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5269999999999422 " " y[1] (closed_form) = 0.4288663047893111 " " y[1] (numeric) = 0.42886630478924614 " " absolute error = 6.49480469405716600000000000000E-14 " " relative error = 1.514412445446807800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.527999999999942 " " y[1] (closed_form) = 0.4283051451440801 " " y[1] (numeric) = 0.42830514514401496 " " absolute error = 6.51145803942654300000000000000E-14 " " relative error = 1.52028480471233100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.528999999999942 " " y[1] (closed_form) = 0.42774508617141876 " " y[1] (numeric) = 0.42774508617135365 " " absolute error = 6.51145803942654300000000000000E-14 " " relative error = 1.522275357434983700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5299999999999419 " " y[1] (closed_form) = 0.4271861249946927 " " y[1] (numeric) = 0.42718612499462744 " " absolute error = 6.5281113847959200000000000000E-14 " " relative error = 1.528165594066760400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5309999999999417 " " y[1] (closed_form) = 0.42662825874665844 " " y[1] (numeric) = 0.4266282587465931 " " absolute error = 6.53366249991904600000000000000E-14 " " relative error = 1.531465008697158000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5319999999999416 " " y[1] (closed_form) = 0.4260714845694276 " " y[1] (numeric) = 0.4260714845693622 " " absolute error = 6.53921361504217200000000000000E-14 " " relative error = 1.534769129562956700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5329999999999415 " " y[1] (closed_form) = 0.42551579961443 " " y[1] (numeric) = 0.42551579961436464 " " absolute error = 6.53366249991904600000000000000E-14 " " relative error = 1.53546883707710800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5339999999999414 " " y[1] (closed_form) = 0.4249612010423773 " " y[1] (numeric) = 0.42496120104231183 " " absolute error = 6.54476473016529800000000000000E-14 " " relative error = 1.540085239337567700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5349999999999413 " " y[1] (closed_form) = 0.42440768602322637 " " y[1] (numeric) = 0.4244076860231608 " " absolute error = 6.5558669604115490000000000000E-14 " " relative error = 1.54470976287945200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5359999999999412 " " y[1] (closed_form) = 0.4238552517361436 " " y[1] (numeric) = 0.42385525173607796 " " absolute error = 6.56141807553467500000000000000E-14 " " relative error = 1.548032741993547200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.536999999999941 " " y[1] (closed_form) = 0.42330389536946883 " " y[1] (numeric) = 0.42330389536940316 " " absolute error = 6.56696919065780100000000000000E-14 " " relative error = 1.55136044399638900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.537999999999941 " " y[1] (closed_form) = 0.4227536141206795 " " y[1] (numeric) = 0.42275361412061385 " " absolute error = 6.56696919065780100000000000000E-14 " " relative error = 1.553379787022515800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5389999999999409 " " y[1] (closed_form) = 0.4222044051963553 " " y[1] (numeric) = 0.4222044051962896 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 1.556715236716735300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5399999999999407 " " y[1] (closed_form) = 0.4216562658121424 " " y[1] (numeric) = 0.42165626581207655 " " absolute error = 6.58362253602717800000000000000E-14 " " relative error = 1.561371920644085700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5409999999999406 " " y[1] (closed_form) = 0.42110919319271817 " " y[1] (numeric) = 0.42110919319265216 " " absolute error = 6.60027588139655600000000000000E-14 " " relative error = 1.567354973030944400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5419999999999405 " " y[1] (closed_form) = 0.4205631845717561 " " y[1] (numeric) = 0.4205631845716901 " " absolute error = 6.60027588139655600000000000000E-14 " " relative error = 1.569389838085178700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5429999999999404 " " y[1] (closed_form) = 0.4200182371918913 " " y[1] (numeric) = 0.42001823719182524 " " absolute error = 6.60582699651968100000000000000E-14 " " relative error = 1.572747659883567400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5439999999999403 " " y[1] (closed_form) = 0.41947434830468494 " " y[1] (numeric) = 0.41947434830461877 " " absolute error = 6.61692922676593300000000000000E-14 " " relative error = 1.577433579313825300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5449999999999402 " " y[1] (closed_form) = 0.41893151517058996 " " y[1] (numeric) = 0.41893151517052374 " " absolute error = 6.62248034188905900000000000000E-14 " " relative error = 1.580802613809650600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.54599999999994 " " y[1] (closed_form) = 0.4183897350589166 " " y[1] (numeric) = 0.41838973505885035 " " absolute error = 6.62248034188905900000000000000E-14 " " relative error = 1.582849622483328300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.54699999999994 " " y[1] (closed_form) = 0.41784900524779817 " " y[1] (numeric) = 0.4178490052477318 " " absolute error = 6.63913368725843600000000000000E-14 " " relative error = 1.588883449254883700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5479999999999399 " " y[1] (closed_form) = 0.41730932302415624 " " y[1] (numeric) = 0.41730932302408985 " " absolute error = 6.63913368725843600000000000000E-14 " " relative error = 1.590938261131090200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5489999999999398 " " y[1] (closed_form) = 0.4167706856836676 " " y[1] (numeric) = 0.4167706856836012 " " absolute error = 6.63913368725843600000000000000E-14 " " relative error = 1.592994400834034400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5499999999999396 " " y[1] (closed_form) = 0.41623309053072954 " " y[1] (numeric) = 0.41623309053066315 " " absolute error = 6.63913368725843600000000000000E-14 " " relative error = 1.595051868363715200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5509999999999395 " " y[1] (closed_form) = 0.41569653487842656 " " y[1] (numeric) = 0.4156965348783601 " " absolute error = 6.64468480238156200000000000000E-14 " " relative error = 1.598446040529264400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5519999999999394 " " y[1] (closed_form) = 0.41516101604849664 " " y[1] (numeric) = 0.4151610160484301 " " absolute error = 6.65578703262781300000000000000E-14 " " relative error = 1.603182084863749300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5529999999999393 " " y[1] (closed_form) = 0.4146265313712977 " " y[1] (numeric) = 0.41462653137123107 " " absolute error = 6.66133814775093900000000000000E-14 " " relative error = 1.60658752967877880000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5539999999999392 " " y[1] (closed_form) = 0.41409307818577473 " " y[1] (numeric) = 0.41409307818570795 " " absolute error = 6.67799149312031700000000000000E-14 " " relative error = 1.61267885045988800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.554999999999939 " " y[1] (closed_form) = 0.41356065383942614 " " y[1] (numeric) = 0.4135606538393593 " " absolute error = 6.68354260824344200000000000000E-14 " " relative error = 1.616097311529658400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.555999999999939 " " y[1] (closed_form) = 0.4130292556882713 " " y[1] (numeric) = 0.4130292556882044 " " absolute error = 6.68909372336656800000000000000E-14 " " relative error = 1.619520562101556800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5569999999999389 " " y[1] (closed_form) = 0.4124988810968174 " " y[1] (numeric) = 0.4124988810967505 " " absolute error = 6.69464483848969400000000000000E-14 " " relative error = 1.622948605506252800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5579999999999388 " " y[1] (closed_form) = 0.41196952743802684 " " y[1] (numeric) = 0.41196952743795984 " " absolute error = 6.7001959536128200000000000000E-14 " " relative error = 1.62638144507441500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5589999999999387 " " y[1] (closed_form) = 0.4114411920932847 " " y[1] (numeric) = 0.4114411920932176 " " absolute error = 6.71129818385907100000000000000E-14 " " relative error = 1.631168272120269200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5599999999999385 " " y[1] (closed_form) = 0.4109138724523664 " " y[1] (numeric) = 0.4109138724522992 " " absolute error = 6.71684929898219700000000000000E-14 " " relative error = 1.634612445400178700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5609999999999384 " " y[1] (closed_form) = 0.41038756591340525 " " y[1] (numeric) = 0.4103875659133381 " " absolute error = 6.71684929898219700000000000000E-14 " " relative error = 1.636708774066390800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5619999999999383 " " y[1] (closed_form) = 0.40986226988286095 " " y[1] (numeric) = 0.4098622698827937 " " absolute error = 6.72795152922844900000000000000E-14 " " relative error = 1.64151521708775600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5629999999999382 " " y[1] (closed_form) = 0.40933798177548675 " " y[1] (numeric) = 0.4093379817754194 " " absolute error = 6.73350264435157400000000000000E-14 " " relative error = 1.644973822156762200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.563999999999938 " " y[1] (closed_form) = 0.4088146990142984 " " y[1] (numeric) = 0.40881469901423095 " " absolute error = 6.74460487459782600000000000000E-14 " " relative error = 1.649795100533293600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.564999999999938 " " y[1] (closed_form) = 0.408292419030542 " " y[1] (numeric) = 0.40829241903047453 " " absolute error = 6.74460487459782600000000000000E-14 " " relative error = 1.651905487398555300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5659999999999379 " " y[1] (closed_form) = 0.40777113926366293 " " y[1] (numeric) = 0.4077711392635954 " " absolute error = 6.75570710484407800000000000000E-14 " " relative error = 1.65673988528056900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5669999999999378 " " y[1] (closed_form) = 0.4072508571612739 " " y[1] (numeric) = 0.40725085716120635 " " absolute error = 6.75570710484407800000000000000E-14 " " relative error = 1.65885644831651600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5679999999999377 " " y[1] (closed_form) = 0.4067315701791243 " " y[1] (numeric) = 0.4067315701790567 " " absolute error = 6.76125821996720300000000000000E-14 " " relative error = 1.662339172980732700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5689999999999376 " " y[1] (closed_form) = 0.4062132757810687 " " y[1] (numeric) = 0.406213275781001 " " absolute error = 6.76680933509032900000000000000E-14 " " relative error = 1.66582673155599800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5699999999999374 " " y[1] (closed_form) = 0.40569597143903596 " " y[1] (numeric) = 0.40569597143896813 " " absolute error = 6.78346268045970600000000000000E-14 " " relative error = 1.672055716106379800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5709999999999373 " " y[1] (closed_form) = 0.4051796546329983 " " y[1] (numeric) = 0.40517965463293043 " " absolute error = 6.78901379558283200000000000000E-14 " " relative error = 1.67555643970627100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5719999999999372 " " y[1] (closed_form) = 0.4046643228509411 " " y[1] (numeric) = 0.4046643228508731 " " absolute error = 6.80011602582908400000000000000E-14 " " relative error = 1.680433792117107300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5729999999999371 " " y[1] (closed_form) = 0.4041499735888315 " " y[1] (numeric) = 0.4041499735887636 " " absolute error = 6.78901379558283200000000000000E-14 " " relative error = 1.67982537158093300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.573999999999937 " " y[1] (closed_form) = 0.40363660435058907 " " y[1] (numeric) = 0.40363660435052107 " " absolute error = 6.80011602582908400000000000000E-14 " " relative error = 1.684712425120559000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.574999999999937 " " y[1] (closed_form) = 0.4031242126480544 " " y[1] (numeric) = 0.4031242126479864 " " absolute error = 6.80011602582908400000000000000E-14 " " relative error = 1.68685378165709200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5759999999999368 " " y[1] (closed_form) = 0.4026127960009599 " " y[1] (numeric) = 0.40261279600089184 " " absolute error = 6.8056671409522100000000000000E-14 " " relative error = 1.69037527086843580000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5769999999999367 " " y[1] (closed_form) = 0.402102351936899 " " y[1] (numeric) = 0.40210235193683086 " " absolute error = 6.81676937119846100000000000000E-14 " " relative error = 1.695282143554385500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5779999999999366 " " y[1] (closed_form) = 0.40159287799129684 " " y[1] (numeric) = 0.4015928779912286 " " absolute error = 6.82232048632158700000000000000E-14 " " relative error = 1.698815108586023700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5789999999999365 " " y[1] (closed_form) = 0.4010843717073802 " " y[1] (numeric) = 0.401084371707312 " " absolute error = 6.82232048632158700000000000000E-14 " " relative error = 1.700968915163555400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5799999999999363 " " y[1] (closed_form) = 0.40057683063614824 " " y[1] (numeric) = 0.40057683063607996 " " absolute error = 6.82787160144471300000000000000E-14 " " relative error = 1.70450986658452120000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5809999999999362 " " y[1] (closed_form) = 0.40007025233634247 " " y[1] (numeric) = 0.40007025233627413 " " absolute error = 6.83342271656783900000000000000E-14 " " relative error = 1.70805569188456500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5819999999999361 " " y[1] (closed_form) = 0.39956463437441797 " " y[1] (numeric) = 0.39956463437434947 " " absolute error = 6.85007606193721600000000000000E-14 " " relative error = 1.714384976203437200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.582999999999936 " " y[1] (closed_form) = 0.3990599743245135 " " y[1] (numeric) = 0.399059974324445 " " absolute error = 6.85007606193721600000000000000E-14 " " relative error = 1.7165530252770400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.583999999999936 " " y[1] (closed_form) = 0.3985562697684232 " " y[1] (numeric) = 0.3985562697683547 " " absolute error = 6.85007606193721600000000000000E-14 " " relative error = 1.718722444365855500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5849999999999358 " " y[1] (closed_form) = 0.3980535182955672 " " y[1] (numeric) = 0.39805351829549845 " " absolute error = 6.87228052242971900000000000000E-14 " " relative error = 1.7264714935459600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5859999999999357 " " y[1] (closed_form) = 0.3975517175029622 " " y[1] (numeric) = 0.39755171750289353 " " absolute error = 6.86672940730659300000000000000E-14 " " relative error = 1.727254368421997600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5869999999999356 " " y[1] (closed_form) = 0.3970508649951942 " " y[1] (numeric) = 0.39705086499512543 " " absolute error = 6.87783163755284500000000000000E-14 " " relative error = 1.73222935495584200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5879999999999355 " " y[1] (closed_form) = 0.3965509583843885 " " y[1] (numeric) = 0.39655095838431964 " " absolute error = 6.8833827526759700000000000000E-14 " " relative error = 1.7358129156262700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5889999999999354 " " y[1] (closed_form) = 0.3960519952901819 " " y[1] (numeric) = 0.39605199529011303 " " absolute error = 6.88893386779909600000000000000E-14 " " relative error = 1.739401379041574700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5899999999999352 " " y[1] (closed_form) = 0.39555397333969444 " " y[1] (numeric) = 0.3955539733396255 " " absolute error = 6.89448498292222200000000000000E-14 " " relative error = 1.74299474853242500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5909999999999351 " " y[1] (closed_form) = 0.39505689016750073 " " y[1] (numeric) = 0.3950568901674318 " " absolute error = 6.89448498292222200000000000000E-14 " " relative error = 1.745187884205492100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.591999999999935 " " y[1] (closed_form) = 0.3945607434156025 " " y[1] (numeric) = 0.3945607434155335 " " absolute error = 6.90003609804534800000000000000E-14 " " relative error = 1.748789308919497800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.592999999999935 " " y[1] (closed_form) = 0.39406553073339995 " " y[1] (numeric) = 0.3940655307333309 " " absolute error = 6.90558721316847400000000000000E-14 " " relative error = 1.752395648590833200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5939999999999348 " " y[1] (closed_form) = 0.3935712497776645 " " y[1] (numeric) = 0.3935712497775953 " " absolute error = 6.92224055853785100000000000000E-14 " " relative error = 1.75882780117916400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5949999999999347 " " y[1] (closed_form) = 0.3930778982125105 " " y[1] (numeric) = 0.3930778982124412 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 1.76244752125839200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5959999999999346 " " y[1] (closed_form) = 0.39258547370936825 " " y[1] (numeric) = 0.3925854737092989 " " absolute error = 6.93334278878410300000000000000E-14 " " relative error = 1.766072168507403200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5969999999999345 " " y[1] (closed_form) = 0.39209397394695605 " " y[1] (numeric) = 0.39209397394688666 " " absolute error = 6.93889390390722800000000000000E-14 " " relative error = 1.769701746256867300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5979999999999344 " " y[1] (closed_form) = 0.3916033966112531 " " y[1] (numeric) = 0.39160339661118365 " " absolute error = 6.94444501903035400000000000000E-14 " " relative error = 1.773336257837452600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5989999999999343 " " y[1] (closed_form) = 0.39111373939547195 " " y[1] (numeric) = 0.3911137393954026 " " absolute error = 6.93334278878410300000000000000E-14 " " relative error = 1.772717777570452500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.5999999999999341 " " y[1] (closed_form) = 0.3906250000000322 " " y[1] (numeric) = 0.3906249999999627 " " absolute error = 6.9499961341534800000000000000E-14 " " relative error = 1.779199010343144000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.600999999999934 " " y[1] (closed_form) = 0.39013717613253207 " " y[1] (numeric) = 0.39013717613246257 " " absolute error = 6.9499961341534800000000000000E-14 " " relative error = 1.781423704105686800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.601999999999934 " " y[1] (closed_form) = 0.389650265507723 " " y[1] (numeric) = 0.38965026550765347 " " absolute error = 6.95554724927660600000000000000E-14 " " relative error = 1.785074428273100700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6029999999999338 " " y[1] (closed_form) = 0.38916426584748204 " " y[1] (numeric) = 0.3891642658474124 " " absolute error = 6.96109836439973200000000000000E-14 " " relative error = 1.788730100704535300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6039999999999337 " " y[1] (closed_form) = 0.3886791748807854 " " y[1] (numeric) = 0.3886791748807156 " " absolute error = 6.97775170976910900000000000000E-14 " " relative error = 1.79524712429198320000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6049999999999336 " " y[1] (closed_form) = 0.3881949903436818 " " y[1] (numeric) = 0.38819499034361193 " " absolute error = 6.9888539400153600000000000000E-14 " " relative error = 1.800346247082657600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6059999999999335 " " y[1] (closed_form) = 0.3877117099792663 " " y[1] (numeric) = 0.3877117099791964 " " absolute error = 6.9888539400153600000000000000E-14 " " relative error = 1.802590368082796500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6069999999999334 " " y[1] (closed_form) = 0.38722933153765393 " " y[1] (numeric) = 0.38722933153758404 " " absolute error = 6.9888539400153600000000000000E-14 " " relative error = 1.80483588685372300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6079999999999333 " " y[1] (closed_form) = 0.38674785277595347 " " y[1] (numeric) = 0.3867478527758835 " " absolute error = 6.99440505513848600000000000000E-14 " " relative error = 1.8085181352488100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6089999999999332 " " y[1] (closed_form) = 0.3862672714582412 " " y[1] (numeric) = 0.38626727145817125 " " absolute error = 6.99440505513848600000000000000E-14 " " relative error = 1.810768235355047800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.609999999999933 " " y[1] (closed_form) = 0.3857875853555353 " " y[1] (numeric) = 0.38578758535546526 " " absolute error = 7.00550728538473800000000000000E-14 " " relative error = 1.815897543444427000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.610999999999933 " " y[1] (closed_form) = 0.38530879224576975 " " y[1] (numeric) = 0.3853087922456995 " " absolute error = 7.02216063075411500000000000000E-14 " " relative error = 1.822476095036788300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6119999999999328 " " y[1] (closed_form) = 0.38483088991376835 " " y[1] (numeric) = 0.3848308899136982 " " absolute error = 7.01660951563098900000000000000E-14 " " relative error = 1.823296855718429800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6129999999999327 " " y[1] (closed_form) = 0.38435387615121996 " " y[1] (numeric) = 0.38435387615114974 " " absolute error = 7.02216063075411500000000000000E-14 " " relative error = 1.82700398421149800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6139999999999326 " " y[1] (closed_form) = 0.383877748756652 " " y[1] (numeric) = 0.38387774875658176 " " absolute error = 7.02216063075411500000000000000E-14 " " relative error = 1.829270035447042300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6149999999999325 " " y[1] (closed_form) = 0.3834025055354058 " " y[1] (numeric) = 0.3834025055353354 " " absolute error = 7.03881397612349200000000000000E-14 " " relative error = 1.835881058287315800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6159999999999324 " " y[1] (closed_form) = 0.3829281442996105 " " y[1] (numeric) = 0.38292814429954014 " " absolute error = 7.03326286100036700000000000000E-14 " " relative error = 1.83670564979350410000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6169999999999323 " " y[1] (closed_form) = 0.382454662868159 " " y[1] (numeric) = 0.38245466286808855 " " absolute error = 7.04436509124661800000000000000E-14 " " relative error = 1.841882391606498300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6179999999999322 " " y[1] (closed_form) = 0.38198205906668176 " " y[1] (numeric) = 0.3819820590666113 " " absolute error = 7.04436509124661800000000000000E-14 " " relative error = 1.844161243713516600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.618999999999932 " " y[1] (closed_form) = 0.3815103307275226 " " y[1] (numeric) = 0.3815103307274521 " " absolute error = 7.04991620636974400000000000000E-14 " " relative error = 1.847896541340277300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.619999999999932 " " y[1] (closed_form) = 0.38103947568971347 " " y[1] (numeric) = 0.3810394756896429 " " absolute error = 7.0554673214928700000000000000E-14 " " relative error = 1.85163684385243300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6209999999999318 " " y[1] (closed_form) = 0.3805694917989497 " " y[1] (numeric) = 0.38056949179887917 " " absolute error = 7.0554673214928700000000000000E-14 " " relative error = 1.853923520811328600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6219999999999317 " " y[1] (closed_form) = 0.38010037690756565 " " y[1] (numeric) = 0.3801003769074951 " " absolute error = 7.0554673214928700000000000000E-14 " " relative error = 1.85621160886368900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6229999999999316 " " y[1] (closed_form) = 0.37963212887451003 " " y[1] (numeric) = 0.37963212887443937 " " absolute error = 7.06656955173912100000000000000E-14 " " relative error = 1.86142557867514520000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6239999999999315 " " y[1] (closed_form) = 0.37916474556532115 " " y[1] (numeric) = 0.37916474556525037 " " absolute error = 7.07767178198537300000000000000E-14 " " relative error = 1.866648169368387800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6249999999999314 " " y[1] (closed_form) = 0.378698224852103 " " y[1] (numeric) = 0.3786982248520322 " " absolute error = 7.08322289710849900000000000000E-14 " " relative error = 1.870413546267554700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6259999999999313 " " y[1] (closed_form) = 0.37823256461350097 " " y[1] (numeric) = 0.37823256461343013 " " absolute error = 7.08322289710849900000000000000E-14 " " relative error = 1.872716302031404700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6269999999999312 " " y[1] (closed_form) = 0.3777677627346777 " " y[1] (numeric) = 0.37776776273460677 " " absolute error = 7.0943251273547500000000000000E-14 " " relative error = 1.87795937800478600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.627999999999931 " " y[1] (closed_form) = 0.37730381710728894 " " y[1] (numeric) = 0.3773038171072179 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 1.883211098174637800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.628999999999931 " " y[1] (closed_form) = 0.37684072562945964 " " y[1] (numeric) = 0.3768407256293886 " " absolute error = 7.10542735760100200000000000000E-14 " " relative error = 1.88552533586500810000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6299999999999308 " " y[1] (closed_form) = 0.37637848620576037 " " y[1] (numeric) = 0.37637848620568937 " " absolute error = 7.09987624247787600000000000000E-14 " " relative error = 1.886366118863787300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6309999999999307 " " y[1] (closed_form) = 0.37591709674718377 " " y[1] (numeric) = 0.3759170967471126 " " absolute error = 7.11652958784725300000000000000E-14 " " relative error = 1.893111446493572800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6319999999999306 " " y[1] (closed_form) = 0.3754565551711199 " " y[1] (numeric) = 0.3754565551710488 " " absolute error = 7.11097847272412800000000000000E-14 " " relative error = 1.89395507277351800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6329999999999305 " " y[1] (closed_form) = 0.3749968594013345 " " y[1] (numeric) = 0.3749968594012632 " " absolute error = 7.12763181809350500000000000000E-14 " " relative error = 1.90071773653583300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6339999999999304 " " y[1] (closed_form) = 0.3745380073679436 " " y[1] (numeric) = 0.3745380073678723 " " absolute error = 7.13318293321663100000000000000E-14 " " relative error = 1.90452845716377200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6349999999999303 " " y[1] (closed_form) = 0.37407999700739186 " " y[1] (numeric) = 0.3740799970073206 " " absolute error = 7.12763181809350500000000000000E-14 " " relative error = 1.90537635669213900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6359999999999302 " " y[1] (closed_form) = 0.37362282626242876 " " y[1] (numeric) = 0.3736228262623573 " " absolute error = 7.14428516346288200000000000000E-14 " " relative error = 1.912165066286611600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.63699999999993 " " y[1] (closed_form) = 0.37316649308208477 " " y[1] (numeric) = 0.37316649308201344 " " absolute error = 7.13318293321663100000000000000E-14 " " relative error = 1.911528249576136500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.63799999999993 " " y[1] (closed_form) = 0.37271099542165004 " " y[1] (numeric) = 0.37271099542157854 " " absolute error = 7.14983627858600800000000000000E-14 " " relative error = 1.918332532824087400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6389999999999298 " " y[1] (closed_form) = 0.37225633124264956 " " y[1] (numeric) = 0.37225633124257806 " " absolute error = 7.14983627858600800000000000000E-14 " " relative error = 1.9206755341725800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6399999999999297 " " y[1] (closed_form) = 0.3718024985128218 " " y[1] (numeric) = 0.3718024985127503 " " absolute error = 7.14983627858600800000000000000E-14 " " relative error = 1.923019965488328200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6409999999999296 " " y[1] (closed_form) = 0.3713494952060956 " " y[1] (numeric) = 0.37134949520602395 " " absolute error = 7.16648962395538500000000000000E-14 " " relative error = 1.929850374504494300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6419999999999295 " " y[1] (closed_form) = 0.37089731930256686 " " y[1] (numeric) = 0.3708973193024952 " " absolute error = 7.16648962395538500000000000000E-14 " " relative error = 1.93220313304803900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6429999999999294 " " y[1] (closed_form) = 0.3704459687884772 " " y[1] (numeric) = 0.37044596878840547 " " absolute error = 7.17204073907851100000000000000E-14 " " relative error = 1.936055820106308600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6439999999999293 " " y[1] (closed_form) = 0.3699954416561906 " " y[1] (numeric) = 0.36999544165611886 " " absolute error = 7.17204073907851100000000000000E-14 " " relative error = 1.938413269897243400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6449999999999292 " " y[1] (closed_form) = 0.36954573590417167 " " y[1] (numeric) = 0.36954573590409984 " " absolute error = 7.18314296932476300000000000000E-14 " " relative error = 1.943776445356536500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.645999999999929 " " y[1] (closed_form) = 0.36909684953696287 " " y[1] (numeric) = 0.36909684953689104 " " absolute error = 7.18314296932476300000000000000E-14 " " relative error = 1.946140417707741300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.646999999999929 " " y[1] (closed_form) = 0.368648780565163 " " y[1] (numeric) = 0.3686487805650911 " " absolute error = 7.18869408444788900000000000000E-14 " " relative error = 1.95001162717184200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6479999999999289 " " y[1] (closed_form) = 0.36820152700540454 " " y[1] (numeric) = 0.36820152700533265 " " absolute error = 7.18869408444788900000000000000E-14 " " relative error = 1.952380301872667600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6489999999999287 " " y[1] (closed_form) = 0.3677550868803322 " " y[1] (numeric) = 0.3677550868802603 " " absolute error = 7.18869408444788900000000000000E-14 " " relative error = 1.954750414312309600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6499999999999286 " " y[1] (closed_form) = 0.3673094582185809 " " y[1] (numeric) = 0.3673094582185089 " " absolute error = 7.1997963146941400000000000000E-14 " " relative error = 1.9601445466753100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6509999999999285 " " y[1] (closed_form) = 0.3668646390547537 " " y[1] (numeric) = 0.36686463905468164 " " absolute error = 7.20534742981726600000000000000E-14 " " relative error = 1.964034322954163200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6519999999999284 " " y[1] (closed_form) = 0.36642062742940046 " " y[1] (numeric) = 0.36642062742932846 " " absolute error = 7.1997963146941400000000000000E-14 " " relative error = 1.964899292161533500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6529999999999283 " " y[1] (closed_form) = 0.36597742138899664 " " y[1] (numeric) = 0.3659774213889245 " " absolute error = 7.21644966006351800000000000000E-14 " " relative error = 1.971829199920278300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6539999999999282 " " y[1] (closed_form) = 0.3655350189859206 " " y[1] (numeric) = 0.36553501898584845 " " absolute error = 7.21644966006351800000000000000E-14 " " relative error = 1.97421567982286100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.654999999999928 " " y[1] (closed_form) = 0.3650934182784337 " " y[1] (numeric) = 0.3650934182783615 " " absolute error = 7.22200077518664300000000000000E-14 " " relative error = 1.978124067325387500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.655999999999928 " " y[1] (closed_form) = 0.3646526173306578 " " y[1] (numeric) = 0.3646526173305856 " " absolute error = 7.21644966006351800000000000000E-14 " " relative error = 1.978992969497822800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6569999999999279 " " y[1] (closed_form) = 0.3642126142125548 " " y[1] (numeric) = 0.3642126142124826 " " absolute error = 7.22200077518664300000000000000E-14 " " relative error = 1.98290792063887080000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6579999999999278 " " y[1] (closed_form) = 0.36377340699990507 " " y[1] (numeric) = 0.3637734069998328 " " absolute error = 7.22755189030976900000000000000E-14 " " relative error = 1.986827995459177200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6589999999999276 " " y[1] (closed_form) = 0.3633349937742866 " " y[1] (numeric) = 0.3633349937742142 " " absolute error = 7.23865412055602100000000000000E-14 " " relative error = 1.992281020157630800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6599999999999275 " " y[1] (closed_form) = 0.3628973726230538 " " y[1] (numeric) = 0.36289737262298144 " " absolute error = 7.23865412055602100000000000000E-14 " " relative error = 1.994683529460243600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6609999999999274 " " y[1] (closed_form) = 0.36246054163931746 " " y[1] (numeric) = 0.36246054163924496 " " absolute error = 7.24975635080227200000000000000E-14 " " relative error = 2.000150504111000400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6619999999999273 " " y[1] (closed_form) = 0.36202449892192273 " " y[1] (numeric) = 0.3620244989218501 " " absolute error = 7.26085858104852400000000000000E-14 " " relative error = 2.005626305034804400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6629999999999272 " " y[1] (closed_form) = 0.3615892425754293 " " y[1] (numeric) = 0.3615892425753567 " " absolute error = 7.26085858104852400000000000000E-14 " " relative error = 2.00804054051300300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.663999999999927 " " y[1] (closed_form) = 0.3611547707100908 " " y[1] (numeric) = 0.3611547707100181 " " absolute error = 7.2664096961716500000000000000E-14 " " relative error = 2.011993274208913300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.664999999999927 " " y[1] (closed_form) = 0.3607210814418338 " " y[1] (numeric) = 0.36072108144176107 " " absolute error = 7.27196081129477500000000000000E-14 " " relative error = 2.01595115600898900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6659999999999269 " " y[1] (closed_form) = 0.3602881728922378 " " y[1] (numeric) = 0.36028817289216497 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 2.021454932332566500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6669999999999268 " " y[1] (closed_form) = 0.3598560431885145 " " y[1] (numeric) = 0.35985604318844167 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 2.023882377244312400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6679999999999267 " " y[1] (closed_form) = 0.3594246904634882 " " y[1] (numeric) = 0.3594246904634153 " " absolute error = 7.28861415666415300000000000000E-14 " " relative error = 2.02785572334089780000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6689999999999265 " " y[1] (closed_form) = 0.35899411285557487 " " y[1] (numeric) = 0.3589941128555019 " " absolute error = 7.29416527178727800000000000000E-14 " " relative error = 2.031834230864325600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6699999999999264 " " y[1] (closed_form) = 0.35856430850876264 " " y[1] (numeric) = 0.35856430850868964 " " absolute error = 7.29971638691040400000000000000E-14 " " relative error = 2.035817903145263000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6709999999999263 " " y[1] (closed_form) = 0.35813527557259145 " " y[1] (numeric) = 0.35813527557251834 " " absolute error = 7.31081861715665600000000000000E-14 " " relative error = 2.041356748638631400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6719999999999262 " " y[1] (closed_form) = 0.35770701220213325 " " y[1] (numeric) = 0.3577070122020601 " " absolute error = 7.31636973227978200000000000000E-14 " " relative error = 2.04535261616438290000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.672999999999926 " " y[1] (closed_form) = 0.3572795165579721 " " y[1] (numeric) = 0.35727951655789897 " " absolute error = 7.31081861715665600000000000000E-14 " " relative error = 2.046246224129785500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.673999999999926 " " y[1] (closed_form) = 0.35685278680618476 " " y[1] (numeric) = 0.35685278680611165 " " absolute error = 7.31081861715665600000000000000E-14 " " relative error = 2.048693155120947500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6749999999999259 " " y[1] (closed_form) = 0.35642682111832064 " " y[1] (numeric) = 0.35642682111824747 " " absolute error = 7.31636973227978200000000000000E-14 " " relative error = 2.05269898301256500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6759999999999258 " " y[1] (closed_form) = 0.35600161767138216 " " y[1] (numeric) = 0.35600161767130895 " " absolute error = 7.32192084740290700000000000000E-14 " " relative error = 2.05670999342526100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6769999999999257 " " y[1] (closed_form) = 0.35557717464780564 " " y[1] (numeric) = 0.3555771746477323 " " absolute error = 7.33302307764915900000000000000E-14 " " relative error = 2.062287345894015200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6779999999999256 " " y[1] (closed_form) = 0.3551534902354414 " " y[1] (numeric) = 0.3551534902353681 " " absolute error = 7.33302307764915900000000000000E-14 " " relative error = 2.064747575136566500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6789999999999254 " " y[1] (closed_form) = 0.35473056262753494 " " y[1] (numeric) = 0.35473056262746155 " " absolute error = 7.33857419277228500000000000000E-14 " " relative error = 2.068774153096513700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6799999999999253 " " y[1] (closed_form) = 0.3543083900227072 " " y[1] (numeric) = 0.35430839002263376 " " absolute error = 7.3441253078954100000000000000E-14 " " relative error = 2.072805926900216600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6809999999999252 " " y[1] (closed_form) = 0.35388697062493574 " " y[1] (numeric) = 0.3538869706248622 " " absolute error = 7.35522753814166200000000000000E-14 " " relative error = 2.07841151234048700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.681999999999925 " " y[1] (closed_form) = 0.35346630264353524 " " y[1] (numeric) = 0.3534663026434617 " " absolute error = 7.35522753814166200000000000000E-14 " " relative error = 2.08088507536156400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.682999999999925 " " y[1] (closed_form) = 0.353046384293139 " " y[1] (numeric) = 0.3530463842930654 " " absolute error = 7.36077865326478800000000000000E-14 " " relative error = 2.08493245668054720000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.683999999999925 " " y[1] (closed_form) = 0.3526272137936797 " " y[1] (numeric) = 0.35262721379360595 " " absolute error = 7.3718808835110390000000000000E-14 " " relative error = 2.09055926347882200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6849999999999248 " " y[1] (closed_form) = 0.3522087893703702 " " y[1] (numeric) = 0.3522087893702964 " " absolute error = 7.37743199863416500000000000000E-14 " " relative error = 2.094618936632021700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6859999999999247 " " y[1] (closed_form) = 0.3517911092536855 " " y[1] (numeric) = 0.3517911092536117 " " absolute error = 7.38298311375729100000000000000E-14 " " relative error = 2.098683826723214400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6869999999999246 " " y[1] (closed_form) = 0.3513741716793435 " " y[1] (numeric) = 0.3513741716792696 " " absolute error = 7.38853422888041700000000000000E-14 " " relative error = 2.10275393708306900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6879999999999244 " " y[1] (closed_form) = 0.35095797488828645 " " y[1] (numeric) = 0.3509579748882125 " " absolute error = 7.39408534400354300000000000000E-14 " " relative error = 2.10682927104225430000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6889999999999243 " " y[1] (closed_form) = 0.35054251712666246 " " y[1] (numeric) = 0.3505425171265885 " " absolute error = 7.39408534400354300000000000000E-14 " " relative error = 2.10932625366292400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6899999999999242 " " y[1] (closed_form) = 0.3501277966458071 " " y[1] (numeric) = 0.3501277966457331 " " absolute error = 7.39963645912666800000000000000E-14 " " relative error = 2.11341016909097820000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6909999999999241 " " y[1] (closed_form) = 0.34971381170222493 " " y[1] (numeric) = 0.3497138117021509 " " absolute error = 7.40518757424979400000000000000E-14 " " relative error = 2.117499317000147400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.691999999999924 " " y[1] (closed_form) = 0.3493005605575709 " " y[1] (numeric) = 0.3493005605574969 " " absolute error = 7.39963645912666800000000000000E-14 " " relative error = 2.11841528319193120000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.692999999999924 " " y[1] (closed_form) = 0.3488880414786328 " " y[1] (numeric) = 0.34888804147855873 " " absolute error = 7.40518757424979400000000000000E-14 " " relative error = 2.122511147950399000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6939999999999238 " " y[1] (closed_form) = 0.34847625273731225 " " y[1] (numeric) = 0.34847625273723815 " " absolute error = 7.4107386893729200000000000000E-14 " " relative error = 2.12661225296154400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6949999999999237 " " y[1] (closed_form) = 0.34806519261060725 " " y[1] (numeric) = 0.3480651926105331 " " absolute error = 7.41628980449604600000000000000E-14 " " relative error = 2.130718601556033700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6959999999999236 " " y[1] (closed_form) = 0.3476548593805938 " " y[1] (numeric) = 0.34765485938051954 " " absolute error = 7.42739203474229700000000000000E-14 " " relative error = 2.136426928700337300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6969999999999235 " " y[1] (closed_form) = 0.34724525133440803 " " y[1] (numeric) = 0.3472452513343337 " " absolute error = 7.43294314986542300000000000000E-14 " " relative error = 2.14054565794688620000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6979999999999233 " " y[1] (closed_form) = 0.3468363667642284 " " y[1] (numeric) = 0.346836366764154 " " absolute error = 7.43849426498854900000000000000E-14 " " relative error = 2.144669641879010700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6989999999999232 " " y[1] (closed_form) = 0.3464282039672579 " " y[1] (numeric) = 0.34642820396718343 " " absolute error = 7.44404538011167500000000000000E-14 " " relative error = 2.148798883827379200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.6999999999999231 " " y[1] (closed_form) = 0.34602076124570597 " " y[1] (numeric) = 0.34602076124563164 " " absolute error = 7.43294314986542300000000000000E-14 " " relative error = 2.148120570310913500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.700999999999923 " " y[1] (closed_form) = 0.3456140369067719 " " y[1] (numeric) = 0.3456140369066974 " " absolute error = 7.449596495234800000000000000E-14 " " relative error = 2.155466994890691300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.701999999999923 " " y[1] (closed_form) = 0.3452080292626255 " " y[1] (numeric) = 0.345208029262551 " " absolute error = 7.449596495234800000000000000E-14 " " relative error = 2.158002092578019700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7029999999999228 " " y[1] (closed_form) = 0.3448027366303913 " " y[1] (numeric) = 0.3448027366303168 " " absolute error = 7.449596495234800000000000000E-14 " " relative error = 2.160538680184646800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7039999999999227 " " y[1] (closed_form) = 0.3443981573321303 " " y[1] (numeric) = 0.34439815733205564 " " absolute error = 7.46624984060417800000000000000E-14 " " relative error = 2.16791224971737700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7049999999999226 " " y[1] (closed_form) = 0.3439942896948224 " " y[1] (numeric) = 0.34399428969474766 " " absolute error = 7.47180095572730400000000000000E-14 " " relative error = 2.172071217332118800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7059999999999225 " " y[1] (closed_form) = 0.3435911320503495 " " y[1] (numeric) = 0.34359113205027475 " " absolute error = 7.47735207085042900000000000000E-14 " " relative error = 2.17623546516756580000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7069999999999224 " " y[1] (closed_form) = 0.34318868273547837 " " y[1] (numeric) = 0.34318868273540365 " " absolute error = 7.47180095572730400000000000000E-14 " " relative error = 2.17716997430430700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7079999999999222 " " y[1] (closed_form) = 0.34278694009184324 " " y[1] (numeric) = 0.34278694009176847 " " absolute error = 7.47735207085042900000000000000E-14 " " relative error = 2.181341001161542200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7089999999999221 " " y[1] (closed_form) = 0.3423859024659287 " " y[1] (numeric) = 0.3423859024658539 " " absolute error = 7.48290318597355500000000000000E-14 " " relative error = 2.185517316011044000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.709999999999922 " " y[1] (closed_form) = 0.3419855682090527 " " y[1] (numeric) = 0.3419855682089779 " " absolute error = 7.47735207085042900000000000000E-14 " " relative error = 2.18645251903717500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.710999999999922 " " y[1] (closed_form) = 0.34158593567734996 " " y[1] (numeric) = 0.3415859356772751 " " absolute error = 7.48845430109668100000000000000E-14 " " relative error = 2.192260722399885500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7119999999999218 " " y[1] (closed_form) = 0.34118700323175444 " " y[1] (numeric) = 0.3411870032316795 " " absolute error = 7.49400541621980700000000000000E-14 " " relative error = 2.19645102106349380000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7129999999999217 " " y[1] (closed_form) = 0.3407887692379832 " " y[1] (numeric) = 0.3407887692379082 " " absolute error = 7.49955653134293200000000000000E-14 " " relative error = 2.200646619931821400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7139999999999216 " " y[1] (closed_form) = 0.34039123206651906 " " y[1] (numeric) = 0.34039123206644406 " " absolute error = 7.49955653134293200000000000000E-14 " " relative error = 2.203216717955112600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7149999999999215 " " y[1] (closed_form) = 0.3399943900925946 " " y[1] (numeric) = 0.3399943900925195 " " absolute error = 7.50510764646605800000000000000E-14 " " relative error = 2.207421023747511100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7159999999999214 " " y[1] (closed_form) = 0.33959824169617486 " " y[1] (numeric) = 0.3395982416960998 " " absolute error = 7.50510764646605800000000000000E-14 " " relative error = 2.209996026181013400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7169999999999213 " " y[1] (closed_form) = 0.3392027852619415 " " y[1] (numeric) = 0.3392027852618663 " " absolute error = 7.5162098767123100000000000000E-14 " " relative error = 2.215845565922488200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7179999999999211 " " y[1] (closed_form) = 0.33880801917927544 " " y[1] (numeric) = 0.3388080191792003 " " absolute error = 7.5162098767123100000000000000E-14 " " relative error = 2.21842738401513900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.718999999999921 " " y[1] (closed_form) = 0.33841394184224155 " " y[1] (numeric) = 0.33841394184216633 " " absolute error = 7.52176099183543600000000000000E-14 " " relative error = 2.222651038219298500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.719999999999921 " " y[1] (closed_form) = 0.3380205516495713 " " y[1] (numeric) = 0.3380205516494961 " " absolute error = 7.5162098767123100000000000000E-14 " " relative error = 2.223595529926365700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7209999999999208 " " y[1] (closed_form) = 0.33762784700464743 " " y[1] (numeric) = 0.33762784700457216 " " absolute error = 7.52731210695856100000000000000E-14 " " relative error = 2.2294701618184200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7219999999999207 " " y[1] (closed_form) = 0.3372358263154869 " " y[1] (numeric) = 0.3372358263154115 " " absolute error = 7.53841433720481300000000000000E-14 " " relative error = 2.235353941948197400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7229999999999206 " " y[1] (closed_form) = 0.3368444879947251 " " y[1] (numeric) = 0.33684448799464967 " " absolute error = 7.54396545232793900000000000000E-14 " " relative error = 2.239598901332200000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7239999999999205 " " y[1] (closed_form) = 0.33645383045960003 " " y[1] (numeric) = 0.3364538304595246 " " absolute error = 7.54396545232793900000000000000E-14 " " relative error = 2.242199306223617600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7249999999999204 " " y[1] (closed_form) = 0.3360638521319361 " " y[1] (numeric) = 0.3360638521318606 " " absolute error = 7.5550676825741900000000000000E-14 " " relative error = 2.248104827295774600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7259999999999203 " " y[1] (closed_form) = 0.3356745514381279 " " y[1] (numeric) = 0.33567455143805236 " " absolute error = 7.5550676825741900000000000000E-14 " " relative error = 2.25071208115303100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7269999999999202 " " y[1] (closed_form) = 0.3352859268091249 " " y[1] (numeric) = 0.3352859268090493 " " absolute error = 7.56061879769731600000000000000E-14 " " relative error = 2.254976482207529400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.72799999999992 " " y[1] (closed_form) = 0.3348979766804151 " " y[1] (numeric) = 0.33489797668033944 " " absolute error = 7.56616991282044200000000000000E-14 " " relative error = 2.25924623009611400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.72899999999992 " " y[1] (closed_form) = 0.33451069949200957 " " y[1] (numeric) = 0.3345106994919339 " " absolute error = 7.56616991282044200000000000000E-14 " " relative error = 2.26186185503497600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7299999999999198 " " y[1] (closed_form) = 0.3341240936884268 " " y[1] (numeric) = 0.3341240936883511 " " absolute error = 7.57172102794356800000000000000E-14 " " relative error = 2.266140386453020200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7309999999999197 " " y[1] (closed_form) = 0.33373815771867704 " " y[1] (numeric) = 0.3337381577186012 " " absolute error = 7.58282325818981900000000000000E-14 " " relative error = 2.272087588073079800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7319999999999196 " " y[1] (closed_form) = 0.33335289003624646 " " y[1] (numeric) = 0.3333528900361706 " " absolute error = 7.58837437331294500000000000000E-14 " " relative error = 2.276378756604701400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7329999999999195 " " y[1] (closed_form) = 0.33296828909908194 " " y[1] (numeric) = 0.33296828909900616 " " absolute error = 7.57727214306669300000000000000E-14 " " relative error = 2.275673807727651700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7339999999999194 " " y[1] (closed_form) = 0.33258435336957604 " " y[1] (numeric) = 0.33258435336950015 " " absolute error = 7.58837437331294500000000000000E-14 " " relative error = 2.281639017720281700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7349999999999193 " " y[1] (closed_form) = 0.3322010813145505 " " y[1] (numeric) = 0.3322010813144747 " " absolute error = 7.58282325818981900000000000000E-14 " " relative error = 2.28260041423823300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7359999999999192 " " y[1] (closed_form) = 0.3318184714052423 " " y[1] (numeric) = 0.33181847140516635 " " absolute error = 7.59392548843607100000000000000E-14 " " relative error = 2.288578286879570400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.736999999999919 " " y[1] (closed_form) = 0.3314365221172872 " " y[1] (numeric) = 0.33143652211721114 " " absolute error = 7.60502771868232200000000000000E-14 " " relative error = 2.29456538769468800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.737999999999919 " " y[1] (closed_form) = 0.3310552319307053 " " y[1] (numeric) = 0.3310552319306292 " " absolute error = 7.61057883380544800000000000000E-14 " " relative error = 2.298884929085927800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7389999999999188 " " y[1] (closed_form) = 0.33067459932988574 " " y[1] (numeric) = 0.3306745993298096 " " absolute error = 7.61612994892857400000000000000E-14 " " relative error = 2.303209851728167700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7399999999999187 " " y[1] (closed_form) = 0.3302946228035716 " " y[1] (numeric) = 0.3302946228034954 " " absolute error = 7.61612994892857400000000000000E-14 " " relative error = 2.305859503337400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7409999999999186 " " y[1] (closed_form) = 0.32991530084484494 " " y[1] (numeric) = 0.3299153008447687 " " absolute error = 7.621681064051700000000000000E-14 " " relative error = 2.31019326613047300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7419999999999185 " " y[1] (closed_form) = 0.3295366319511117 " " y[1] (numeric) = 0.3295366319510355 " " absolute error = 7.621681064051700000000000000E-14 " " relative error = 2.312847897645082300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7429999999999184 " " y[1] (closed_form) = 0.3291586146240873 " " y[1] (numeric) = 0.3291586146240109 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 2.320563421420511500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7439999999999183 " " y[1] (closed_form) = 0.3287812473697808 " " y[1] (numeric) = 0.32878124736970443 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 2.32322690862907700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7449999999999182 " " y[1] (closed_form) = 0.3284045286984815 " " y[1] (numeric) = 0.3284045286984051 " " absolute error = 7.64388552454420300000000000000E-14 " " relative error = 2.32758225193730300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.745999999999918 " " y[1] (closed_form) = 0.3280284571247432 " " y[1] (numeric) = 0.3280284571246668 " " absolute error = 7.64388552454420300000000000000E-14 " " relative error = 2.33025073237392100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.746999999999918 " " y[1] (closed_form) = 0.32765303116737 " " y[1] (numeric) = 0.3276530311672935 " " absolute error = 7.64943663966732900000000000000E-14 " " relative error = 2.334614946919225400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7479999999999178 " " y[1] (closed_form) = 0.32727824934940164 " " y[1] (numeric) = 0.327278249349325 " " absolute error = 7.66608998503670600000000000000E-14 " " relative error = 2.342376861363739400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7489999999999177 " " y[1] (closed_form) = 0.3269041101980986 " " y[1] (numeric) = 0.326904110198022 " " absolute error = 7.6605388699135800000000000000E-14 " " relative error = 2.343359606360231300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7499999999999176 " " y[1] (closed_form) = 0.32653061224492874 " " y[1] (numeric) = 0.32653061224485197 " " absolute error = 7.67719221528295700000000000000E-14 " " relative error = 2.35114011593018400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7509999999999175 " " y[1] (closed_form) = 0.3261577540255513 " " y[1] (numeric) = 0.3261577540254745 " " absolute error = 7.68274333040608300000000000000E-14 " " relative error = 2.35552987337661580000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7519999999999174 " " y[1] (closed_form) = 0.3257855340798039 " " y[1] (numeric) = 0.32578553407972705 " " absolute error = 7.68274333040608300000000000000E-14 " " relative error = 2.358221138365257400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7529999999999173 " " y[1] (closed_form) = 0.32541395095168757 " " y[1] (numeric) = 0.3254139509516107 " " absolute error = 7.68829444552920900000000000000E-14 " " relative error = 2.36261980257590400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7539999999999172 " " y[1] (closed_form) = 0.3250430031893526 " " y[1] (numeric) = 0.32504300318927576 " " absolute error = 7.68274333040608300000000000000E-14 " " relative error = 2.36360827798853700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.754999999999917 " " y[1] (closed_form) = 0.32467268934508464 " " y[1] (numeric) = 0.32467268934500776 " " absolute error = 7.68829444552920900000000000000E-14 " " relative error = 2.36801390995888700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.755999999999917 " " y[1] (closed_form) = 0.32430300797529027 " " y[1] (numeric) = 0.3243030079752133 " " absolute error = 7.6993966757754610000000000000E-14 " " relative error = 2.374136682803171500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7569999999999169 " " y[1] (closed_form) = 0.32393395764048283 " " y[1] (numeric) = 0.3239339576404057 " " absolute error = 7.71049890602171200000000000000E-14 " " relative error = 2.380268793733316400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7579999999999167 " " y[1] (closed_form) = 0.3235655369052687 " " y[1] (numeric) = 0.3235655369051916 " " absolute error = 7.71049890602171200000000000000E-14 " " relative error = 2.38297903409878280000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7589999999999166 " " y[1] (closed_form) = 0.3231977443383333 " " y[1] (numeric) = 0.3231977443382562 " " absolute error = 7.71049890602171200000000000000E-14 " " relative error = 2.385690816564030300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7599999999999165 " " y[1] (closed_form) = 0.3228305785124273 " " y[1] (numeric) = 0.32283057851235014 " " absolute error = 7.71605002114483800000000000000E-14 " " relative error = 2.390123654549598200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7609999999999164 " " y[1] (closed_form) = 0.3224640380043523 " " y[1] (numeric) = 0.32246403800427503 " " absolute error = 7.7271522513910900000000000000E-14 " " relative error = 2.39628341169839100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7619999999999163 " " y[1] (closed_form) = 0.32209812139494737 " " y[1] (numeric) = 0.3220981213948701 " " absolute error = 7.7271522513910900000000000000E-14 " " relative error = 2.39900568743655600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7629999999999162 " " y[1] (closed_form) = 0.3217328272690754 " " y[1] (numeric) = 0.32173282726899816 " " absolute error = 7.7271522513910900000000000000E-14 " " relative error = 2.40172950860517100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.763999999999916 " " y[1] (closed_form) = 0.3213681542156095 " " y[1] (numeric) = 0.3213681542155321 " " absolute error = 7.73825448163734100000000000000E-14 " " relative error = 2.407909551749069200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.764999999999916 " " y[1] (closed_form) = 0.32100410082741865 " " y[1] (numeric) = 0.3210041008273412 " " absolute error = 7.74380559676046700000000000000E-14 " " relative error = 2.412369679016582400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7659999999999159 " " y[1] (closed_form) = 0.3206406657013551 " " y[1] (numeric) = 0.3206406657012776 " " absolute error = 7.74935671188359300000000000000E-14 " " relative error = 2.416835274132492500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7669999999999157 " " y[1] (closed_form) = 0.32027784743824017 " " y[1] (numeric) = 0.3202778474381626 " " absolute error = 7.75490782700671800000000000000E-14 " " relative error = 2.42130634042746700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7679999999999156 " " y[1] (closed_form) = 0.3199156446428511 " " y[1] (numeric) = 0.31991564464277356 " " absolute error = 7.75490782700671800000000000000E-14 " " relative error = 2.424047700344313700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7689999999999155 " " y[1] (closed_form) = 0.3195540559239076 " " y[1] (numeric) = 0.31955405592383 " " absolute error = 7.76045894212984400000000000000E-14 " " relative error = 2.428527755560007400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7699999999999154 " " y[1] (closed_form) = 0.3191930798940584 " " y[1] (numeric) = 0.31919307989398077 " " absolute error = 7.76045894212984400000000000000E-14 " " relative error = 2.431274181979626900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7709999999999153 " " y[1] (closed_form) = 0.31883271516986783 " " y[1] (numeric) = 0.3188327151697902 " " absolute error = 7.76045894212984400000000000000E-14 " " relative error = 2.43402216049103500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7719999999999152 " " y[1] (closed_form) = 0.3184729603718031 " " y[1] (numeric) = 0.31847296037172534 " " absolute error = 7.77711228749922200000000000000E-14 " " relative error = 2.442000814894861600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.772999999999915 " " y[1] (closed_form) = 0.31811381412422024 " " y[1] (numeric) = 0.3181138141241424 " " absolute error = 7.78266340262234700000000000000E-14 " " relative error = 2.44650281033796800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.773999999999915 " " y[1] (closed_form) = 0.31775527505535167 " " y[1] (numeric) = 0.31775527505527384 " " absolute error = 7.78266340262234700000000000000E-14 " " relative error = 2.449263321046877800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7749999999999149 " " y[1] (closed_form) = 0.3173973417972929 " " y[1] (numeric) = 0.31739734179721507 " " absolute error = 7.78266340262234700000000000000E-14 " " relative error = 2.45202538828846800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7759999999999148 " " y[1] (closed_form) = 0.31704001298598933 " " y[1] (numeric) = 0.3170400129859115 " " absolute error = 7.78266340262234700000000000000E-14 " " relative error = 2.454789012062739100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7769999999999146 " " y[1] (closed_form) = 0.31668328726122347 " " y[1] (numeric) = 0.3166832872611456 " " absolute error = 7.78821451774547300000000000000E-14 " " relative error = 2.459307084090353300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7779999999999145 " " y[1] (closed_form) = 0.3163271632666018 " " y[1] (numeric) = 0.3163271632665239 " " absolute error = 7.79376563286859900000000000000E-14 " " relative error = 2.46383065949350100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7789999999999144 " " y[1] (closed_form) = 0.31597163964954195 " " y[1] (numeric) = 0.315971639649464 " " absolute error = 7.79376563286859900000000000000E-14 " " relative error = 2.46660290192911220000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7799999999999143 " " y[1] (closed_form) = 0.31561671506126 " " y[1] (numeric) = 0.315616715061182 " " absolute error = 7.79931674799172500000000000000E-14 " " relative error = 2.471135518433460700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7809999999999142 " " y[1] (closed_form) = 0.31526238815675744 " " y[1] (numeric) = 0.31526238815667934 " " absolute error = 7.81041897823797600000000000000E-14 " " relative error = 2.47743443926283200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.781999999999914 " " y[1] (closed_form) = 0.31490865759480846 " " y[1] (numeric) = 0.3149086575947303 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 2.481980061474802200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.782999999999914 " " y[1] (closed_form) = 0.31455552203794757 " " y[1] (numeric) = 0.31455552203786935 " " absolute error = 7.82152120848422800000000000000E-14 " " relative error = 2.48653120371565100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7839999999999139 " " y[1] (closed_form) = 0.31420298015245646 " " y[1] (numeric) = 0.3142029801523783 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 2.487554411345387000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7849999999999138 " " y[1] (closed_form) = 0.3138510306083521 " " y[1] (numeric) = 0.31385103060827385 " " absolute error = 7.82707232360735400000000000000E-14 " " relative error = 2.49388135142834280000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7859999999999137 " " y[1] (closed_form) = 0.3134996720793733 " " y[1] (numeric) = 0.313499672079295 " " absolute error = 7.82707232360735400000000000000E-14 " " relative error = 2.49667639895510300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7869999999999135 " " y[1] (closed_form) = 0.313148903242969 " " y[1] (numeric) = 0.3131489032428907 " " absolute error = 7.8326234387304790000000000000E-14 " " relative error = 2.50124568779128900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7879999999999134 " " y[1] (closed_form) = 0.3127987227802855 " " y[1] (numeric) = 0.31279872278020704 " " absolute error = 7.84372566897673100000000000000E-14 " " relative error = 2.507595171507871500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7889999999999133 " " y[1] (closed_form) = 0.31244912937615377 " " y[1] (numeric) = 0.3124491293760753 " " absolute error = 7.84927678409985700000000000000E-14 " " relative error = 2.51217751823216200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7899999999999132 " " y[1] (closed_form) = 0.3121001217190777 " " y[1] (numeric) = 0.31210012171899926 " " absolute error = 7.84372566897673100000000000000E-14 " " relative error = 2.513208141596590700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.790999999999913 " " y[1] (closed_form) = 0.3117516985012216 " " y[1] (numeric) = 0.3117516985011431 " " absolute error = 7.84927678409985700000000000000E-14 " " relative error = 2.517797600409577600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.791999999999913 " " y[1] (closed_form) = 0.31140385841839757 " " y[1] (numeric) = 0.311403858418319 " " absolute error = 7.85482789922298300000000000000E-14 " " relative error = 2.52239260589679400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7929999999999129 " " y[1] (closed_form) = 0.31105660017005377 " " y[1] (numeric) = 0.31105660016997516 " " absolute error = 7.86037901434610800000000000000E-14 " " relative error = 2.526993161388911300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7939999999999128 " " y[1] (closed_form) = 0.31070992245926193 " " y[1] (numeric) = 0.31070992245918333 " " absolute error = 7.86037901434610800000000000000E-14 " " relative error = 2.529812679341357000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 13 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7949999999999127 " " y[1] (closed_form) = 0.3103638239927056 " " y[1] (numeric) = 0.31036382399262696 " " absolute error = 7.86593012946923400000000000000E-14 " " relative error = 2.53442235254006400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7959999999999126 " " y[1] (closed_form) = 0.31001830348066767 " " y[1] (numeric) = 0.310018303480589 " " absolute error = 7.86593012946923400000000000000E-14 " " relative error = 2.537247008049556000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7969999999999124 " " y[1] (closed_form) = 0.30967335963701875 " " y[1] (numeric) = 0.30967335963694 " " absolute error = 7.87703235971548600000000000000E-14 " " relative error = 2.543658378928200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7979999999999123 " " y[1] (closed_form) = 0.3093289911792047 " " y[1] (numeric) = 0.30932899117912593 " " absolute error = 7.87703235971548600000000000000E-14 " " relative error = 2.54649017206151700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7989999999999122 " " y[1] (closed_form) = 0.3089851968282353 " " y[1] (numeric) = 0.30898519682815656 " " absolute error = 7.8714812445923600000000000000E-14 " " relative error = 2.547526977147747700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.7999999999999121 " " y[1] (closed_form) = 0.3086419753086721 " " y[1] (numeric) = 0.30864197530859333 " " absolute error = 7.87703235971548600000000000000E-14 " " relative error = 2.552158484547568000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.800999999999912 " " y[1] (closed_form) = 0.3082993253486165 " " y[1] (numeric) = 0.30829932534853766 " " absolute error = 7.88258347483861100000000000000E-14 " " relative error = 2.556795564156749700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.801999999999912 " " y[1] (closed_form) = 0.30795724567969796 " " y[1] (numeric) = 0.3079572456796191 " " absolute error = 7.88813458996173700000000000000E-14 " " relative error = 2.561438219305960400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8029999999999118 " " y[1] (closed_form) = 0.30761573503706247 " " y[1] (numeric) = 0.30761573503698353 " " absolute error = 7.89368570508486300000000000000E-14 " " relative error = 2.566086453325870400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8039999999999117 " " y[1] (closed_form) = 0.3072747921593606 " " y[1] (numeric) = 0.3072747921592817 " " absolute error = 7.88813458996173700000000000000E-14 " " relative error = 2.56712714197224100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8049999999999116 " " y[1] (closed_form) = 0.3069344157887364 " " y[1] (numeric) = 0.30693441578865743 " " absolute error = 7.89923682020798900000000000000E-14 " " relative error = 2.57359110411556100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8059999999999115 " " y[1] (closed_form) = 0.30659460467081495 " " y[1] (numeric) = 0.3065946046707359 " " absolute error = 7.90478793533111500000000000000E-14 " " relative error = 2.578254090223910400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8069999999999113 " " y[1] (closed_form) = 0.30625535755469124 " " y[1] (numeric) = 0.30625535755461225 " " absolute error = 7.89923682020798900000000000000E-14 " " relative error = 2.57929751279447900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8079999999999112 " " y[1] (closed_form) = 0.3059166731929191 " " y[1] (numeric) = 0.30591667319284 " " absolute error = 7.9103390504542400000000000000E-14 " " relative error = 2.585782254982151000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8089999999999111 " " y[1] (closed_form) = 0.3055785503414987 " " y[1] (numeric) = 0.3055785503414197 " " absolute error = 7.90478793533111500000000000000E-14 " " relative error = 2.586826832739776400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.809999999999911 " " y[1] (closed_form) = 0.30524098775986636 " " y[1] (numeric) = 0.30524098775978725 " " absolute error = 7.9103390504542400000000000000E-14 " " relative error = 2.591506176319059400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.810999999999911 " " y[1] (closed_form) = 0.3049039842108821 " " y[1] (numeric) = 0.3049039842108029 " " absolute error = 7.92144128070049200000000000000E-14 " " relative error = 2.59801173185777400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8119999999999108 " " y[1] (closed_form) = 0.3045675384608187 " " y[1] (numeric) = 0.30456753846073953 " " absolute error = 7.91589016557736600000000000000E-14 " " relative error = 2.599059047980490000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8129999999999107 " " y[1] (closed_form) = 0.3042316492793508 " " y[1] (numeric) = 0.3042316492792716 " " absolute error = 7.92144128070049200000000000000E-14 " " relative error = 2.603753192498025000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8139999999999106 " " y[1] (closed_form) = 0.303896315439543 " " y[1] (numeric) = 0.30389631543946377 " " absolute error = 7.92144128070049200000000000000E-14 " " relative error = 2.60662629925053500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8149999999999105 " " y[1] (closed_form) = 0.30356153571783917 " " y[1] (numeric) = 0.30356153571775985 " " absolute error = 7.93254351094674300000000000000E-14 " " relative error = 2.613158314734596000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8159999999999104 " " y[1] (closed_form) = 0.30322730889405075 " " y[1] (numeric) = 0.3032273088939714 " " absolute error = 7.93254351094674300000000000000E-14 " " relative error = 2.616038621283420000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8169999999999102 " " y[1] (closed_form) = 0.30289363375134637 " " y[1] (numeric) = 0.302893633751267 " " absolute error = 7.93809462606986900000000000000E-14 " " relative error = 2.620753208892619400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8179999999999101 " " y[1] (closed_form) = 0.3025605090762401 " " y[1] (numeric) = 0.30256050907616067 " " absolute error = 7.94364574119299500000000000000E-14 " " relative error = 2.625473418671216000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.81899999999991 " " y[1] (closed_form) = 0.3022279336585807 " " y[1] (numeric) = 0.3022279336585012 " " absolute error = 7.94919685631612100000000000000E-14 " " relative error = 2.630199253949877500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.81999999999991 " " y[1] (closed_form) = 0.3018959062915406 " " y[1] (numeric) = 0.3018959062914611 " " absolute error = 7.94919685631612100000000000000E-14 " " relative error = 2.633091966685891000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8209999999999098 " " y[1] (closed_form) = 0.3015644257716051 " " y[1] (numeric) = 0.3015644257715256 " " absolute error = 7.94919685631612100000000000000E-14 " " relative error = 2.635986269261275700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8219999999999097 " " y[1] (closed_form) = 0.3012334908985612 " " y[1] (numeric) = 0.30123349089848167 " " absolute error = 7.95474797143924700000000000000E-14 " " relative error = 2.640724956481670400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8229999999999096 " " y[1] (closed_form) = 0.3009031004754868 " " y[1] (numeric) = 0.3009031004754073 " " absolute error = 7.94919685631612100000000000000E-14 " " relative error = 2.64177964393015800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8239999999999095 " " y[1] (closed_form) = 0.30057325330874024 " " y[1] (numeric) = 0.30057325330866064 " " absolute error = 7.96029908656237200000000000000E-14 " " relative error = 2.648372401381230400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8249999999999094 " " y[1] (closed_form) = 0.3002439482079487 " " y[1] (numeric) = 0.30024394820786915 " " absolute error = 7.95474797143924700000000000000E-14 " " relative error = 2.649428246237221500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8259999999999093 " " y[1] (closed_form) = 0.2999151839859986 " " y[1] (numeric) = 0.29991518398591893 " " absolute error = 7.96585020168549800000000000000E-14 " " relative error = 2.656034314707247400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8269999999999091 " " y[1] (closed_form) = 0.2995869594590237 " " y[1] (numeric) = 0.299586959458944 " " absolute error = 7.97140131680862400000000000000E-14 " " relative error = 2.660797162601104500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.827999999999909 " " y[1] (closed_form) = 0.2992592734463954 " " y[1] (numeric) = 0.2992592734463156 " " absolute error = 7.98250354705487600000000000000E-14 " " relative error = 2.66742061327791600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.828999999999909 " " y[1] (closed_form) = 0.29893212477071146 " " y[1] (numeric) = 0.2989321247706317 " " absolute error = 7.9769524319317500000000000000E-14 " " relative error = 2.668482833034514500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8299999999999088 " " y[1] (closed_form) = 0.2986055122577861 " " y[1] (numeric) = 0.2986055122577062 " " absolute error = 7.98805466217800100000000000000E-14 " " relative error = 2.675119625816524000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8309999999999087 " " y[1] (closed_form) = 0.29827943473663854 " " y[1] (numeric) = 0.2982794347365587 " " absolute error = 7.98250354705487600000000000000E-14 " " relative error = 2.676183007421517600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8319999999999086 " " y[1] (closed_form) = 0.2979538910394836 " " y[1] (numeric) = 0.29795389103940373 " " absolute error = 7.98805466217800100000000000000E-14 " " relative error = 2.680970077051102000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8329999999999085 " " y[1] (closed_form) = 0.2976288800017202 " " y[1] (numeric) = 0.29762888000164034 " " absolute error = 7.98805466217800100000000000000E-14 " " relative error = 2.683897699084790700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8339999999999084 " " y[1] (closed_form) = 0.29730440046192186 " " y[1] (numeric) = 0.29730440046184187 " " absolute error = 7.99915689242425300000000000000E-14 " " relative error = 2.690561216045226000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8349999999999083 " " y[1] (closed_form) = 0.2969804512618254 " " y[1] (numeric) = 0.2969804512617454 " " absolute error = 7.99915689242425300000000000000E-14 " " relative error = 2.69349610670905600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8359999999999081 " " y[1] (closed_form) = 0.29665703124632153 " " y[1] (numeric) = 0.29665703124624143 " " absolute error = 8.01025912267050400000000000000E-14 " " relative error = 2.700175043557081000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.836999999999908 " " y[1] (closed_form) = 0.29633413926344376 " " y[1] (numeric) = 0.29633413926336366 " " absolute error = 8.01025912267050400000000000000E-14 " " relative error = 2.703117211732837000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.837999999999908 " " y[1] (closed_form) = 0.29601177416435887 " " y[1] (numeric) = 0.2960117741642787 " " absolute error = 8.0158102377936300000000000000E-14 " " relative error = 2.70793628409621900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8389999999999078 " " y[1] (closed_form) = 0.29568993480335587 " " y[1] (numeric) = 0.29568993480327577 " " absolute error = 8.01025912267050400000000000000E-14 " " relative error = 2.709006354239824000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8399999999999077 " " y[1] (closed_form) = 0.2953686200378368 " " y[1] (numeric) = 0.2953686200377566 " " absolute error = 8.02136135291675600000000000000E-14 " " relative error = 2.715712099643224400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8409999999999076 " " y[1] (closed_form) = 0.29504782872830565 " " y[1] (numeric) = 0.2950478287282254 " " absolute error = 8.02691246803988200000000000000E-14 " " relative error = 2.720546191658794000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8419999999999075 " " y[1] (closed_form) = 0.2947275597383586 " " y[1] (numeric) = 0.2947275597382784 " " absolute error = 8.02136135291675600000000000000E-14 " " relative error = 2.72161903014351200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8429999999999074 " " y[1] (closed_form) = 0.2944078119346746 " " y[1] (numeric) = 0.29440781193459425 " " absolute error = 8.03246358316300800000000000000E-14 " " relative error = 2.728345939728430400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8439999999999073 " " y[1] (closed_form) = 0.294088584187004 " " y[1] (numeric) = 0.2940885841869237 " " absolute error = 8.03246358316300800000000000000E-14 " " relative error = 2.731307509051542000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8449999999999072 " " y[1] (closed_form) = 0.2937698753681599 " " y[1] (numeric) = 0.2937698753680795 " " absolute error = 8.03801469828613300000000000000E-14 " " relative error = 2.736160298333071000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.845999999999907 " " y[1] (closed_form) = 0.2934516843540074 " " y[1] (numeric) = 0.29345168435392693 " " absolute error = 8.04911692853238500000000000000E-14 " " relative error = 2.7429104543227900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.846999999999907 " " y[1] (closed_form) = 0.2931340100234538 " " y[1] (numeric) = 0.29313401002337336 " " absolute error = 8.04356581340925900000000000000E-14 " " relative error = 2.743989280795391000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8479999999999068 " " y[1] (closed_form) = 0.29281685125843926 " " y[1] (numeric) = 0.29281685125835866 " " absolute error = 8.06021915877863600000000000000E-14 " " relative error = 2.75264866900187800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8489999999999067 " " y[1] (closed_form) = 0.2925002069439259 " " y[1] (numeric) = 0.2925002069438453 " " absolute error = 8.06021915877863600000000000000E-14 " " relative error = 2.75562853202487800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8499999999999066 " " y[1] (closed_form) = 0.2921840759678893 " " y[1] (numeric) = 0.2921840759678086 " " absolute error = 8.07132138902488800000000000000E-14 " " relative error = 2.762409745393488700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8509999999999065 " " y[1] (closed_form) = 0.2918684572213075 " " y[1] (numeric) = 0.29186845722122684 " " absolute error = 8.06577027390176200000000000000E-14 " " relative error = 2.7634950178209700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8519999999999064 " " y[1] (closed_form) = 0.2915533495981523 " " y[1] (numeric) = 0.2915533495980716 " " absolute error = 8.07132138902488800000000000000E-14 " " relative error = 2.76838575174992200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8529999999999063 " " y[1] (closed_form) = 0.2912387519953789 " " y[1] (numeric) = 0.2912387519952982 " " absolute error = 8.07132138902488800000000000000E-14 " " relative error = 2.771376176324556000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8539999999999062 " " y[1] (closed_form) = 0.2909246633129166 " " y[1] (numeric) = 0.2909246633128358 " " absolute error = 8.0824236192711400000000000000E-14 " " relative error = 2.778184402529578000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.854999999999906 " " y[1] (closed_form) = 0.2906110824536588 " " y[1] (numeric) = 0.290611082453578 " " absolute error = 8.0824236192711400000000000000E-14 " " relative error = 2.781182173449966000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.855999999999906 " " y[1] (closed_form) = 0.29029800832345387 " " y[1] (numeric) = 0.29029800832337305 " " absolute error = 8.0824236192711400000000000000E-14 " " relative error = 2.784181560855077400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8569999999999058 " " y[1] (closed_form) = 0.28998543983109554 " " y[1] (numeric) = 0.2899854398310146 " " absolute error = 8.09352584951739100000000000000E-14 " " relative error = 2.791011112223956000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8579999999999057 " " y[1] (closed_form) = 0.2896733758883128 " " y[1] (numeric) = 0.2896733758882319 " " absolute error = 8.09352584951739100000000000000E-14 " " relative error = 2.79401785707705200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8589999999999056 " " y[1] (closed_form) = 0.2893618154097614 " " y[1] (numeric) = 0.2893618154096804 " " absolute error = 8.09907696464051700000000000000E-14 " " relative error = 2.798944619963598700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8599999999999055 " " y[1] (closed_form) = 0.2890507573130135 " " y[1] (numeric) = 0.28905075731293256 " " absolute error = 8.09352584951739100000000000000E-14 " " relative error = 2.800036202898752400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8609999999999054 " " y[1] (closed_form) = 0.288740200518549 " " y[1] (numeric) = 0.288740200518468 " " absolute error = 8.09907696464051700000000000000E-14 " " relative error = 2.804970333225291000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8619999999999053 " " y[1] (closed_form) = 0.2884301439497456 " " y[1] (numeric) = 0.28843014394966454 " " absolute error = 8.10462807976364300000000000000E-14 " " relative error = 2.809910215617320000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8629999999999052 " " y[1] (closed_form) = 0.2881205865328698 " " y[1] (numeric) = 0.28812058653278866 " " absolute error = 8.11573031000989400000000000000E-14 " " relative error = 2.816782517233985500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.863999999999905 " " y[1] (closed_form) = 0.2878115271970673 " " y[1] (numeric) = 0.28781152719698627 " " absolute error = 8.10462807976364300000000000000E-14 " " relative error = 2.815949784462360000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.864999999999905 " " y[1] (closed_form) = 0.28750296487435456 " " y[1] (numeric) = 0.2875029648742734 " " absolute error = 8.11573031000989400000000000000E-14 " " relative error = 2.82283360575312900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8659999999999048 " " y[1] (closed_form) = 0.2871948984996083 " " y[1] (numeric) = 0.28719489849952706 " " absolute error = 8.1212814251330200000000000000E-14 " " relative error = 2.827794458592758400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8669999999999047 " " y[1] (closed_form) = 0.2868873270105572 " " y[1] (numeric) = 0.2868873270104759 " " absolute error = 8.12683254025614600000000000000E-14 " " relative error = 2.832761079041001000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8679999999999046 " " y[1] (closed_form) = 0.28658024934777265 " " y[1] (numeric) = 0.28658024934769133 " " absolute error = 8.13238365537927200000000000000E-14 " " relative error = 2.837733470428525600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8689999999999045 " " y[1] (closed_form) = 0.28627366445465935 " " y[1] (numeric) = 0.28627366445457797 " " absolute error = 8.13793477050239700000000000000E-14 " " relative error = 2.84271163608600160000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8699999999999044 " " y[1] (closed_form) = 0.2859675712774464 " " y[1] (numeric) = 0.285967571277365 " " absolute error = 8.13793477050239700000000000000E-14 " " relative error = 2.845754409896692500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8709999999999043 " " y[1] (closed_form) = 0.2856619687651783 " " y[1] (numeric) = 0.2856619687650968 " " absolute error = 8.14903700074864900000000000000E-14 " " relative error = 2.852685303533482600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8719999999999042 " " y[1] (closed_form) = 0.28535685586970555 " " y[1] (numeric) = 0.2853568558696241 " " absolute error = 8.14348588562552300000000000000E-14 " " relative error = 2.853790164180900000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.872999999999904 " " y[1] (closed_form) = 0.28505223154567644 " " y[1] (numeric) = 0.28505223154559495 " " absolute error = 8.14903700074864900000000000000E-14 " " relative error = 2.85878730243964300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.873999999999904 " " y[1] (closed_form) = 0.28474809475052726 " " y[1] (numeric) = 0.28474809475044566 " " absolute error = 8.160139230994901000000000000E-14 " " relative error = 2.865739712198650500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8749999999999039 " " y[1] (closed_form) = 0.2844444444444736 " " y[1] (numeric) = 0.28444444444439204 " " absolute error = 8.15458811587177500000000000000E-14 " " relative error = 2.86684738448587700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8759999999999037 " " y[1] (closed_form) = 0.28414127959050195 " " y[1] (numeric) = 0.2841412795904204 " " absolute error = 8.15458811587177500000000000000E-14 " " relative error = 2.869906170488140700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8769999999999036 " " y[1] (closed_form) = 0.28383859915436044 " " y[1] (numeric) = 0.2838385991542788 " " absolute error = 8.16569034611802600000000000000E-14 " " relative error = 2.8768780463425500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8779999999999035 " " y[1] (closed_form) = 0.28353640210454967 " " y[1] (numeric) = 0.28353640210446807 " " absolute error = 8.160139230994901000000000000E-14 " " relative error = 2.877986449156526600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8789999999999034 " " y[1] (closed_form) = 0.28323468741231483 " " y[1] (numeric) = 0.2832346874122332 " " absolute error = 8.16569034611802600000000000000E-14 " " relative error = 2.883012112930553600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8799999999999033 " " y[1] (closed_form) = 0.2829334540516362 " " y[1] (numeric) = 0.28293345405155446 " " absolute error = 8.17679257636427800000000000000E-14 " " relative error = 2.890005568189892300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8809999999999032 " " y[1] (closed_form) = 0.28263270099922044 " " y[1] (numeric) = 0.28263270099913873 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 2.891116785974348600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.881999999999903 " " y[1] (closed_form) = 0.28233242723449264 " " y[1] (numeric) = 0.2823324272344108 " " absolute error = 8.18234369148740400000000000000E-14 " " relative error = 2.898123949712484400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.882999999999903 " " y[1] (closed_form) = 0.28203263173958665 " " y[1] (numeric) = 0.28203263173950477 " " absolute error = 8.1878948066105300000000000000E-14 " " relative error = 2.903172854895308400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8839999999999029 " " y[1] (closed_form) = 0.28173331349933717 " " y[1] (numeric) = 0.28173331349925523 " " absolute error = 8.19344592173365500000000000000E-14 " " relative error = 2.908227578757005000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8849999999999028 " " y[1] (closed_form) = 0.2814344715012709 " " y[1] (numeric) = 0.28143447150118894 " " absolute error = 8.19344592173365500000000000000E-14 " " relative error = 2.91131568852490640000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8859999999999026 " " y[1] (closed_form) = 0.28113610473559797 " " y[1] (numeric) = 0.2811361047355161 " " absolute error = 8.1878948066105300000000000000E-14 " " relative error = 2.912430907553142400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8869999999999025 " " y[1] (closed_form) = 0.28083821219520366 " " y[1] (numeric) = 0.28083821219512173 " " absolute error = 8.19344592173365500000000000000E-14 " " relative error = 2.91749682412826200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8879999999999024 " " y[1] (closed_form) = 0.28054079287563943 " " y[1] (numeric) = 0.28054079287555744 " " absolute error = 8.19899703685678100000000000000E-14 " " relative error = 2.9225685693742600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8889999999999023 " " y[1] (closed_form) = 0.2802438457751148 " " y[1] (numeric) = 0.28024384577503275 " " absolute error = 8.20454815197990700000000000000E-14 " " relative error = 2.927646146621806000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8899999999999022 " " y[1] (closed_form) = 0.2799473698944888 " " y[1] (numeric) = 0.2799473698944067 " " absolute error = 8.21009926710303300000000000000E-14 " " relative error = 2.93272955920157100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.890999999999902 " " y[1] (closed_form) = 0.2796513642372617 " " y[1] (numeric) = 0.27965136423717957 " " absolute error = 8.21565038222615800000000000000E-14 " " relative error = 2.93781881044422100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.891999999999902 " " y[1] (closed_form) = 0.2793558278095664 " " y[1] (numeric) = 0.2793558278094842 " " absolute error = 8.22120149734928400000000000000E-14 " " relative error = 2.94291390368042750000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8929999999999019 " " y[1] (closed_form) = 0.27906075962016025 " " y[1] (numeric) = 0.27906075962007804 " " absolute error = 8.22120149734928400000000000000E-14 " " relative error = 2.94602562844717400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8939999999999018 " " y[1] (closed_form) = 0.2787661586804168 " " y[1] (numeric) = 0.27876615868033455 " " absolute error = 8.2267526124724100000000000000E-14 " " relative error = 2.95113031345520200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8949999999999017 " " y[1] (closed_form) = 0.2784720240043174 " " y[1] (numeric) = 0.27847202400423504 " " absolute error = 8.23785484271866200000000000000E-14 " " relative error = 2.958234268657070600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8959999999999015 " " y[1] (closed_form) = 0.2781783546084428 " " y[1] (numeric) = 0.27817835460836043 " " absolute error = 8.23785484271866200000000000000E-14 " " relative error = 2.96135723942794470000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8969999999999014 " " y[1] (closed_form) = 0.27788514951196536 " " y[1] (numeric) = 0.2778851495118829 " " absolute error = 8.24340595784178700000000000000E-14 " " relative error = 2.96647948705399900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8979999999999013 " " y[1] (closed_form) = 0.27759240773664035 " " y[1] (numeric) = 0.2775924077365579 " " absolute error = 8.24340595784178700000000000000E-14 " " relative error = 2.969607859614999400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.8989999999999012 " " y[1] (closed_form) = 0.27730012830679823 " " y[1] (numeric) = 0.2773001283067158 " " absolute error = 8.24340595784178700000000000000E-14 " " relative error = 2.97273788085719200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.899999999999901 " " y[1] (closed_form) = 0.2770083102493363 " " y[1] (numeric) = 0.2770083102492539 " " absolute error = 8.24340595784178700000000000000E-14 " " relative error = 2.975869550780575500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.900999999999901 " " y[1] (closed_form) = 0.2767169525937107 " " y[1] (numeric) = 0.27671695259362816 " " absolute error = 8.25450818808803900000000000000E-14 " " relative error = 2.98301499446176340000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9019999999999009 " " y[1] (closed_form) = 0.27642605437192797 " " y[1] (numeric) = 0.2764260543718455 " " absolute error = 8.24895707296491300000000000000E-14 " " relative error = 2.984146010298306000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9029999999999008 " " y[1] (closed_form) = 0.27613561461853775 " " y[1] (numeric) = 0.2761356146184552 " " absolute error = 8.25450818808803900000000000000E-14 " " relative error = 2.9892950242912600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9039999999999007 " " y[1] (closed_form) = 0.27584563237062415 " " y[1] (numeric) = 0.2758456323705415 " " absolute error = 8.2656104183342900000000000000E-14 " " relative error = 2.99646231383090300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9049999999999006 " " y[1] (closed_form) = 0.2755561066677977 " " y[1] (numeric) = 0.275556106667715 " " absolute error = 8.2656104183342900000000000000E-14 " " relative error = 2.999610684839246000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9059999999999004 " " y[1] (closed_form) = 0.275267036552188 " " y[1] (numeric) = 0.2752670365521053 " " absolute error = 8.2656104183342900000000000000E-14 " " relative error = 3.00276070896967400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9069999999999003 " " y[1] (closed_form) = 0.2749784210684354 " " y[1] (numeric) = 0.2749784210683527 " " absolute error = 8.27116153345741600000000000000E-14 " " relative error = 3.00793113194832400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9079999999999002 " " y[1] (closed_form) = 0.27469025926368307 " " y[1] (numeric) = 0.2746902592636003 " " absolute error = 8.27671264858054200000000000000E-14 " " relative error = 3.01310744354989560000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9089999999999 " " y[1] (closed_form) = 0.2744025501875691 " " y[1] (numeric) = 0.2744025501874864 " " absolute error = 8.27116153345741600000000000000E-14 " " relative error = 3.014243682430658000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9099999999999 " " y[1] (closed_form) = 0.27411529289221914 " " y[1] (numeric) = 0.2741152928921364 " " absolute error = 8.27671264858054200000000000000E-14 " " relative error = 3.01942754132835200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9109999999999 " " y[1] (closed_form) = 0.2738284864322379 " " y[1] (numeric) = 0.2738284864321551 " " absolute error = 8.27671264858054200000000000000E-14 " " relative error = 3.02259007323137400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9119999999998998 " " y[1] (closed_form) = 0.2735421298647019 " " y[1] (numeric) = 0.27354212986461907 " " absolute error = 8.28226376370366800000000000000E-14 " " relative error = 3.02778360605739260000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9129999999998997 " " y[1] (closed_form) = 0.27325622224915147 " " y[1] (numeric) = 0.27325622224906854 " " absolute error = 8.29336599394991900000000000000E-14 " " relative error = 3.03501450971101260000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9139999999998996 " " y[1] (closed_form) = 0.27297076264758297 " " y[1] (numeric) = 0.27297076264750003 " " absolute error = 8.29336599394991900000000000000E-14 " " relative error = 3.03818838087689700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9149999999998994 " " y[1] (closed_form) = 0.27268575012444146 " " y[1] (numeric) = 0.27268575012435853 " " absolute error = 8.29336599394991900000000000000E-14 " " relative error = 3.0413639107159800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9159999999998993 " " y[1] (closed_form) = 0.27240118374661276 " " y[1] (numeric) = 0.2724011837465297 " " absolute error = 8.30446822419617100000000000000E-14 " " relative error = 3.04861679012414900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9169999999998992 " " y[1] (closed_form) = 0.2721170625834155 " " y[1] (numeric) = 0.27211706258333246 " " absolute error = 8.30446822419617100000000000000E-14 " " relative error = 3.05179989279448300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9179999999998991 " " y[1] (closed_form) = 0.27183338570659427 " " y[1] (numeric) = 0.27183338570651117 " " absolute error = 8.31001933931929700000000000000E-14 " " relative error = 3.05702675840148200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.918999999999899 " " y[1] (closed_form) = 0.2715501521903114 " " y[1] (numeric) = 0.27155015219022827 " " absolute error = 8.31557045444242200000000000000E-14 " " relative error = 3.06225954482787100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.919999999999899 " " y[1] (closed_form) = 0.2712673611111397 " " y[1] (numeric) = 0.27126736111105654 " " absolute error = 8.31557045444242200000000000000E-14 " " relative error = 3.06545189232533200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9209999999998988 " " y[1] (closed_form) = 0.2709850115480548 " " y[1] (numeric) = 0.27098501154797167 " " absolute error = 8.31557045444242200000000000000E-14 " " relative error = 3.068645902936882300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9219999999998987 " " y[1] (closed_form) = 0.2707031025824279 " " y[1] (numeric) = 0.27070310258234465 " " absolute error = 8.32667268468867400000000000000E-14 " " relative error = 3.075942833774222300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9229999999998986 " " y[1] (closed_form) = 0.27042163329801777 " " y[1] (numeric) = 0.2704216332979345 " " absolute error = 8.32667268468867400000000000000E-14 " " relative error = 3.07914443942148500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9239999999998985 " " y[1] (closed_form) = 0.27014060278096397 " " y[1] (numeric) = 0.27014060278088065 " " absolute error = 8.332223799811800000000000000E-14 " " relative error = 3.084402608876886700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9249999999998983 " " y[1] (closed_form) = 0.26986001011977895 " " y[1] (numeric) = 0.26986001011969557 " " absolute error = 8.33777491493492600000000000000E-14 " " relative error = 3.089666716915246400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9259999999998982 " " y[1] (closed_form) = 0.2695798544053407 " " y[1] (numeric) = 0.2695798544052574 " " absolute error = 8.332223799811800000000000000E-14 " " relative error = 3.09081842120274100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9269999999998981 " " y[1] (closed_form) = 0.2693001347308859 " " y[1] (numeric) = 0.2693001347308025 " " absolute error = 8.33777491493492600000000000000E-14 " " relative error = 3.09609013870971200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.927999999999898 " " y[1] (closed_form) = 0.2690208501920018 " " y[1] (numeric) = 0.26902085019191835 " " absolute error = 8.34332603005805100000000000000E-14 " " relative error = 3.10136780257120200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.928999999999898 " " y[1] (closed_form) = 0.26874199988661934 " " y[1] (numeric) = 0.2687419998865359 " " absolute error = 8.34332603005805100000000000000E-14 " " relative error = 3.10458582342099550000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9299999999998978 " " y[1] (closed_form) = 0.26846358291500605 " " y[1] (numeric) = 0.26846358291492256 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 3.10987324780820700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9309999999998977 " " y[1] (closed_form) = 0.26818559837975836 " " y[1] (numeric) = 0.2681855983796748 " " absolute error = 8.35442826030430300000000000000E-14 " " relative error = 3.11516662743172300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9319999999998976 " " y[1] (closed_form) = 0.26790804538579455 " " y[1] (numeric) = 0.26790804538571106 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 3.116321920515144300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9329999999998975 " " y[1] (closed_form) = 0.26763092304034775 " " y[1] (numeric) = 0.26763092304026426 " " absolute error = 8.34887714518117700000000000000E-14 " " relative error = 3.11954876153175700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9339999999998974 " " y[1] (closed_form) = 0.26735423045295853 " " y[1] (numeric) = 0.267354230452875 " " absolute error = 8.35442826030430300000000000000E-14 " " relative error = 3.124853586999545000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9349999999998972 " " y[1] (closed_form) = 0.26707796673546763 " " y[1] (numeric) = 0.26707796673538403 " " absolute error = 8.35997937542742900000000000000E-14 " " relative error = 3.13016437769564400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9359999999998971 " " y[1] (closed_form) = 0.2668021310020091 " " y[1] (numeric) = 0.26680213100192546 " " absolute error = 8.36553049055055500000000000000E-14 " " relative error = 3.13548113695072400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.936999999999897 " " y[1] (closed_form) = 0.26652672236900316 " " y[1] (numeric) = 0.26652672236891944 " " absolute error = 8.3710816056736800000000000000E-14 " " relative error = 3.14080386809545300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.937999999999897 " " y[1] (closed_form) = 0.26625173995514895 " " y[1] (numeric) = 0.26625173995506524 " " absolute error = 8.3710816056736800000000000000E-14 " " relative error = 3.14404766221765100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9389999999998968 " " y[1] (closed_form) = 0.2659771828814176 " " y[1] (numeric) = 0.26597718288133393 " " absolute error = 8.36553049055055500000000000000E-14 " " relative error = 3.14520606614598800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9399999999998967 " " y[1] (closed_form) = 0.26570305027104546 " " y[1] (numeric) = 0.26570305027096164 " " absolute error = 8.38218383591993200000000000000E-14 " " relative error = 3.15471870848648860000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9409999999998966 " " y[1] (closed_form) = 0.26542934124952633 " " y[1] (numeric) = 0.2654293412494425 " " absolute error = 8.38218383591993200000000000000E-14 " " relative error = 3.15797183403320900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9419999999998965 " " y[1] (closed_form) = 0.26515605494460537 " " y[1] (numeric) = 0.26515605494452155 " " absolute error = 8.38218383591993200000000000000E-14 " " relative error = 3.161226636016697000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9429999999998964 " " y[1] (closed_form) = 0.2648831904862717 " " y[1] (numeric) = 0.26488319048618786 " " absolute error = 8.38218383591993200000000000000E-14 " " relative error = 3.16448311443695100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9439999999998963 " " y[1] (closed_form) = 0.2646107470067514 " " y[1] (numeric) = 0.26461074700666765 " " absolute error = 8.37663272079680600000000000000E-14 " " relative error = 3.165643427393778400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9449999999998961 " " y[1] (closed_form) = 0.2643387236405012 " " y[1] (numeric) = 0.2643387236404173 " " absolute error = 8.39328606616618300000000000000E-14 " " relative error = 3.17520110204549300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.945999999999896 " " y[1] (closed_form) = 0.26406711952420037 " " y[1] (numeric) = 0.2640671195241165 " " absolute error = 8.38773495104305800000000000000E-14 " " relative error = 3.17636476898607800000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.946999999999896 " " y[1] (closed_form) = 0.2637959337967455 " " y[1] (numeric) = 0.26379593379666155 " " absolute error = 8.39328606616618300000000000000E-14 " " relative error = 3.18173443591939550000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9479999999998958 " " y[1] (closed_form) = 0.2635251655992423 " " y[1] (numeric) = 0.2635251655991583 " " absolute error = 8.39883718128930900000000000000E-14 " " relative error = 3.187110104718385300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9489999999998957 " " y[1] (closed_form) = 0.2632548140749995 " " y[1] (numeric) = 0.26325481407491547 " " absolute error = 8.40438829641243500000000000000E-14 " " relative error = 3.19249177871371470000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9499999999998956 " " y[1] (closed_form) = 0.26298487836952195 " " y[1] (numeric) = 0.2629848783694379 " " absolute error = 8.40438829641243500000000000000E-14 " " relative error = 3.19576864971048600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9509999999998955 " " y[1] (closed_form) = 0.26271535763050374 " " y[1] (numeric) = 0.2627153576304197 " " absolute error = 8.40438829641243500000000000000E-14 " " relative error = 3.19904720158491700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9519999999998954 " " y[1] (closed_form) = 0.26244625100782176 " " y[1] (numeric) = 0.26244625100773766 " " absolute error = 8.40993941153556100000000000000E-14 " " relative error = 3.204442577952815000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9529999999998953 " " y[1] (closed_form) = 0.26217755765352857 " " y[1] (numeric) = 0.2621775576534444 " " absolute error = 8.41549052665868700000000000000E-14 " " relative error = 3.20984397061928500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9539999999998952 " " y[1] (closed_form) = 0.26190927672184594 " " y[1] (numeric) = 0.2619092767217618 " " absolute error = 8.41549052665868700000000000000E-14 " " relative error = 3.2131319027680505000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.954999999999895 " " y[1] (closed_form) = 0.2616414073691583 " " y[1] (numeric) = 0.2616414073690742 " " absolute error = 8.40993941153556100000000000000E-14 " " relative error = 3.214299867937075500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.955999999999895 " " y[1] (closed_form) = 0.26137394875400616 " " y[1] (numeric) = 0.26137394875392206 " " absolute error = 8.40993941153556100000000000000E-14 " " relative error = 3.217588995240926500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9569999999998948 " " y[1] (closed_form) = 0.26110690003707915 " " y[1] (numeric) = 0.261106900036995 " " absolute error = 8.41549052665868700000000000000E-14 " " relative error = 3.223005797802977500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9579999999998947 " " y[1] (closed_form) = 0.2608402603812096 " " y[1] (numeric) = 0.2608402603811254 " " absolute error = 8.42104164178181200000000000000E-14 " " relative error = 3.228428628876053300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9589999999998946 " " y[1] (closed_form) = 0.2605740289513661 " " y[1] (numeric) = 0.2605740289512819 " " absolute error = 8.42104164178181200000000000000E-14 " " relative error = 3.231727150887138700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9599999999998945 " " y[1] (closed_form) = 0.2603082049146469 " " y[1] (numeric) = 0.2603082049145627 " " absolute error = 8.42104164178181200000000000000E-14 " " relative error = 3.23502735710655300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9609999999998944 " " y[1] (closed_form) = 0.26004278744027337 " " y[1] (numeric) = 0.26004278744018916 " " absolute error = 8.42104164178181200000000000000E-14 " " relative error = 3.238329247534295600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9619999999998943 " " y[1] (closed_form) = 0.2597777756995836 " " y[1] (numeric) = 0.2597777756994993 " " absolute error = 8.43214387202806400000000000000E-14 " " relative error = 3.2459065635311700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9629999999998942 " " y[1] (closed_form) = 0.2595131688660255 " " y[1] (numeric) = 0.25951316886594117 " " absolute error = 8.43214387202806400000000000000E-14 " " relative error = 3.249216180000940600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.963999999999894 " " y[1] (closed_form) = 0.25924896611515114 " " y[1] (numeric) = 0.25924896611506676 " " absolute error = 8.4376949871511900000000000000E-14 " " relative error = 3.25466871231548160000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.964999999999894 " " y[1] (closed_form) = 0.25898516662460946 " " y[1] (numeric) = 0.25898516662452514 " " absolute error = 8.43214387202806400000000000000E-14 " " relative error = 3.25584047222680530000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9659999999998938 " " y[1] (closed_form) = 0.25872176957414084 " " y[1] (numeric) = 0.25872176957405646 " " absolute error = 8.4376949871511900000000000000E-14 " " relative error = 3.261300740575382400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9669999999998937 " " y[1] (closed_form) = 0.2584587741455697 " " y[1] (numeric) = 0.25845877414548524 " " absolute error = 8.44879721739744100000000000000E-14 " " relative error = 3.268914837705951000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9679999999998936 " " y[1] (closed_form) = 0.2581961795227988 " " y[1] (numeric) = 0.2581961795227143 " " absolute error = 8.44879721739744100000000000000E-14 " " relative error = 3.27223943941099660000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9689999999998935 " " y[1] (closed_form) = 0.2579339848918027 " " y[1] (numeric) = 0.25793398489171815 " " absolute error = 8.45434833252056700000000000000E-14 " " relative error = 3.27771787655937230000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9699999999998934 " " y[1] (closed_form) = 0.2576721894406216 " " y[1] (numeric) = 0.257672189440537 " " absolute error = 8.45989944764369300000000000000E-14 " " relative error = 3.28320237663568500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9709999999998933 " " y[1] (closed_form) = 0.2574107923593548 " " y[1] (numeric) = 0.2574107923592702 " " absolute error = 8.45989944764369300000000000000E-14 " " relative error = 3.286536423008001300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9719999999998932 " " y[1] (closed_form) = 0.2571497928401547 " " y[1] (numeric) = 0.2571497928400701 " " absolute error = 8.45989944764369300000000000000E-14 " " relative error = 3.28987216136020700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.972999999999893 " " y[1] (closed_form) = 0.25688919007722044 " " y[1] (numeric) = 0.25688919007713584 " " absolute error = 8.45989944764369300000000000000E-14 " " relative error = 3.29320959169230150000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.973999999999893 " " y[1] (closed_form) = 0.25662898326679157 " " y[1] (numeric) = 0.25662898326670697 " " absolute error = 8.45989944764369300000000000000E-14 " " relative error = 3.29654871400428650000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9749999999998928 " " y[1] (closed_form) = 0.25636917160714207 " " y[1] (numeric) = 0.2563691716070574 " " absolute error = 8.46545056276681900000000000000E-14 " " relative error = 3.302054810138873600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9759999999998927 " " y[1] (closed_form) = 0.25610975429857386 " " y[1] (numeric) = 0.25610975429848926 " " absolute error = 8.45989944764369300000000000000E-14 " " relative error = 3.303232034567924500000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9769999999998926 " " y[1] (closed_form) = 0.25585073054341123 " " y[1] (numeric) = 0.2558507305433266 " " absolute error = 8.46545056276681900000000000000E-14 " " relative error = 3.30874590226368400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9779999999998925 " " y[1] (closed_form) = 0.25559209954599393 " " y[1] (numeric) = 0.2555920995459093 " " absolute error = 8.46545056276681900000000000000E-14 " " relative error = 3.31209398796125760000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9789999999998924 " " y[1] (closed_form) = 0.25533386051267176 " " y[1] (numeric) = 0.25533386051258705 " " absolute error = 8.47100167788994400000000000000E-14 " " relative error = 3.317617828235336400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9799999999998923 " " y[1] (closed_form) = 0.25507601265179797 " " y[1] (numeric) = 0.25507601265171326 " " absolute error = 8.47100167788994400000000000000E-14 " " relative error = 3.32097149779961300000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9809999999998922 " " y[1] (closed_form) = 0.2548185551737236 " " y[1] (numeric) = 0.25481855517363877 " " absolute error = 8.48210390813619600000000000000E-14 " " relative error = 3.32868377750336400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.981999999999892 " " y[1] (closed_form) = 0.254561487290791 " " y[1] (numeric) = 0.2545614872907061 " " absolute error = 8.48765502325932200000000000000E-14 " " relative error = 3.33422589315865100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.982999999999892 " " y[1] (closed_form) = 0.2543048082173281 " " y[1] (numeric) = 0.25430480821724327 " " absolute error = 8.48210390813619600000000000000E-14 " " relative error = 3.33540838948173400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9839999999998919 " " y[1] (closed_form) = 0.2540485171696427 " " y[1] (numeric) = 0.2540485171695578 " " absolute error = 8.49320613838244800000000000000E-14 " " relative error = 3.34314336214410900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9849999999998917 " " y[1] (closed_form) = 0.2537926133660156 " " y[1] (numeric) = 0.25379261336593073 " " absolute error = 8.48765502325932200000000000000E-14 " " relative error = 3.34432705140183200000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9859999999998916 " " y[1] (closed_form) = 0.2535370960266958 " " y[1] (numeric) = 0.25353709602661073 " " absolute error = 8.50430836862869900000000000000E-14 " " relative error = 3.35426590503081700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9869999999998915 " " y[1] (closed_form) = 0.25328196437389305 " " y[1] (numeric) = 0.2532819643738081 " " absolute error = 8.49320613838244800000000000000E-14 " " relative error = 3.353261318616763700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9879999999998914 " " y[1] (closed_form) = 0.2530272176317739 " " y[1] (numeric) = 0.25302721763168884 " " absolute error = 8.50430836862869900000000000000E-14 " " relative error = 3.361025129322202700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9889999999998913 " " y[1] (closed_form) = 0.2527728550264538 " " y[1] (numeric) = 0.2527728550263687 " " absolute error = 8.50985948375182500000000000000E-14 " " relative error = 3.36660338107160700000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9899999999998912 " " y[1] (closed_form) = 0.25251887578599264 " " y[1] (numeric) = 0.25251887578590754 " " absolute error = 8.50985948375182500000000000000E-14 " " relative error = 3.369989454160191600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.990999999999891 " " y[1] (closed_form) = 0.2522652791403882 " " y[1] (numeric) = 0.25226527914030317 " " absolute error = 8.50430836862869900000000000000E-14 " " relative error = 3.37117672222183400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.991999999999891 " " y[1] (closed_form) = 0.25201206432157075 " " y[1] (numeric) = 0.25201206432148565 " " absolute error = 8.50985948375182500000000000000E-14 " " relative error = 3.37676670625305100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9929999999998909 " " y[1] (closed_form) = 0.2517592305633968 " " y[1] (numeric) = 0.25175923056331156 " " absolute error = 8.52096171399807600000000000000E-14 " " relative error = 3.38456774551206400000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9939999999998907 " " y[1] (closed_form) = 0.25150677710164326 " " y[1] (numeric) = 0.2515067771015581 " " absolute error = 8.51541059887495100000000000000E-14 " " relative error = 3.38575790959046600000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9949999999998906 " " y[1] (closed_form) = 0.2512547031740026 " " y[1] (numeric) = 0.25125470317391735 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 3.39357342227193900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9959999999998905 " " y[1] (closed_form) = 0.25100300802007564 " " y[1] (numeric) = 0.25100300801999037 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 3.39697635354204100000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9969999999998904 " " y[1] (closed_form) = 0.250751690881367 " " y[1] (numeric) = 0.25075169088128174 " " absolute error = 8.52651282912120200000000000000E-14 " " relative error = 3.40038099011470900000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9979999999998903 " " y[1] (closed_form) = 0.250500751001279 " " y[1] (numeric) = 0.2505007510011937 " " absolute error = 8.53206394424432800000000000000E-14 " " relative error = 3.40600333936753930000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.9989999999998902 " " y[1] (closed_form) = 0.25025018762510565 " " y[1] (numeric) = 0.2502501876250203 " " absolute error = 8.53206394424432800000000000000E-14 " " relative error = 3.409413605326054000000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " " " "TOP MAIN SOLVE Loop" x[1] = -1.99999999999989 " " y[1] (closed_form) = 0.25000000000002753 " " y[1] (numeric) = 0.2499999999999421 " " absolute error = 8.5431661744905800000000000000E-14 " " relative error = 3.41726646979585550000000000E-11 "%" Desired digits = 8 Estimated correct digits = 12 Correct digits = 14 h = -1.000E-3 " " "Finished!" "diff ( y , x , 1 ) = neg ( 2.0 ) / x / x / x ; " Iterations = 1301 "Total Elapsed Time "= 28 Seconds "Elapsed Time(since restart) "= 28 Seconds "Expected Time Remaining "= 0 Seconds "Optimized Time Remaining "= 0 Seconds "Expected Total Time "= 28 Seconds "Time to Timeout "= 2 Minutes 31 Seconds Percent Done = 0.0 "%" (%o254) temp/diffeq.sing3_back.max